0.000296 s: eq 0.000011 s: false 0.000006 s: not 0.000188 s: decidable 0.000031 s: decidable_rel 0.000011 s: decidable_eq 0.000107 s: has_mul 0.000126 s: has_mul.mul 0.000095 s: has_one 0.000025 s: has_one.one 0.000076 s: nat 0.000281 s: list 0.000091 s: or 0.000080 s: has_lt 0.000034 s: has_lt.lt 0.000128 s: nat.less_than_or_equal 0.000009 s: nat.lt 0.000059 s: nat.has_lt 0.000106 s: has_add 0.000058 s: has_add.add 0.000015 s: bit0 0.000031 s: punit 0.000107 s: pprod 0.000030 s: nat.below 0.000039 s: pprod.fst 0.000287 s: nat.brec_on 0.000037 s: nat.cases_on 0.000010 s: id_rhs 0.000154 s: nat.add._main 0.000007 s: nat.add 0.000015 s: nat.has_add 0.000068 s: bit1 0.000014 s: nat.has_one 0.000142 s: and 0.000064 s: is_valid_char 0.000114 s: char 0.000068 s: string_imp 0.000018 s: string 0.000195 s: subtype 0.000024 s: fin 0.000046 s: unsigned_sz 0.000007 s: unsigned 0.000463 s: name 0.000011 s: auto_param 0.000098 s: has_zero 0.000041 s: has_zero.zero 0.000014 s: nat.has_zero 0.000755 s: mul_one_class 0.000188 s: mul_one_class.one 0.000031 s: mul_one_class.to_has_one 0.000040 s: string_imp.cases_on 0.000124 s: has_append 0.000048 s: has_append.append 0.000078 s: list.below 0.000459 s: list.brec_on 0.000091 s: list.cases_on 0.000196 s: list.append._main 0.000028 s: list.append 0.000020 s: list.has_append 0.000105 s: string.push._main 0.000006 s: string.push 0.000004 s: string.str 0.000020 s: string.empty 0.000049 s: decidable.rec_on 0.000036 s: dite 0.000121 s: or.decidable 0.000105 s: has_le 0.000037 s: has_le.le 0.000011 s: nat.has_le 0.000027 s: nat.le_refl 0.000437 s: nat.zero_le 0.000128 s: nat.less_than_or_equal.dcases_on 0.000121 s: heq 0.000084 s: nat.no_confusion_type 0.000213 s: nat.no_confusion 0.000223 s: nat.not_succ_le_zero 0.000072 s: decidable.cases_on 0.000021 s: nat.pred._main 0.000004 s: nat.pred 0.000037 s: nat.less_than_or_equal.rec_on 0.000210 s: nat.pred_le_pred 0.000101 s: nat.le_of_succ_le_succ 0.000071 s: nat.succ_le_succ 0.000379 s: nat.decidable_le._match_1 0.000517 s: nat.decidable_le._main 0.000014 s: nat.decidable_le 0.000076 s: nat.decidable_lt 0.000034 s: and.right 0.000044 s: and.decidable._proof_1 0.000017 s: and.left 0.000016 s: and.decidable._proof_2 0.000064 s: and.decidable 0.000013 s: ne 0.000016 s: absurd 0.000014 s: rfl 0.000039 s: eq.subst 0.000041 s: trans_rel_left 0.000036 s: nat.zero_lt_succ 0.000288 s: eq.symm 0.000201 s: congr 0.000104 s: congr_arg 0.000929 s: nat.succ_add 0.000235 s: nat.bit0_succ_eq 0.000215 s: nat.zero_lt_bit0 0.000520 s: nat.bit0_ne_zero 0.000202 s: nat.bit1_ne_zero 0.000046 s: char.zero_lt_d800 0.000032 s: char.of_nat._proof_1 0.000083 s: char.of_nat 0.000087 s: mul_one_class.mul 0.000018 s: mul_one_class.to_has_mul 0.000376 s: semigroup 0.000061 s: semigroup.mul 0.000017 s: semigroup.to_has_mul 0.000081 s: has_div 0.000052 s: has_div.div 0.001426 s: monoid 0.000294 s: monoid.one 0.000214 s: monoid.mul 0.000440 s: monoid.one_mul 0.000363 s: monoid.mul_one 0.000056 s: monoid.to_mul_one_class 0.000076 s: has_inv 0.000029 s: has_inv.inv 0.000212 s: Exists 0.002052 s: div_inv_monoid 0.000398 s: div_inv_monoid.inv 0.000020 s: div_inv_monoid.to_has_inv 0.000387 s: mul_zero_class 0.000091 s: mul_zero_class.zero 0.000021 s: mul_zero_class.to_has_zero 0.000770 s: mul_zero_one_class 0.000140 s: mul_zero_one_class.mul 0.000089 s: mul_zero_one_class.zero 0.000280 s: mul_zero_one_class.zero_mul 0.000258 s: mul_zero_one_class.mul_zero 0.000056 s: mul_zero_one_class.to_mul_zero_class 0.001687 s: monoid_with_zero 0.000423 s: monoid_with_zero.one 0.000265 s: monoid_with_zero.mul 0.000503 s: monoid_with_zero.one_mul 0.000364 s: monoid_with_zero.mul_one 0.000295 s: monoid_with_zero.zero 0.000521 s: monoid_with_zero.zero_mul 0.000420 s: monoid_with_zero.mul_zero 0.000123 s: monoid_with_zero.to_mul_zero_one_class 0.000068 s: mul_zero_class.mul 0.000018 s: mul_zero_class.to_has_mul 0.000132 s: mul_zero_one_class.one 0.000240 s: mul_zero_one_class.one_mul 0.000227 s: mul_zero_one_class.mul_one 0.000068 s: mul_zero_one_class.to_mul_one_class 0.005011 s: comm_group_with_zero 0.005021 s: group_with_zero 0.001164 s: group_with_zero.mul 0.001058 s: group_with_zero.mul_assoc 0.001116 s: group_with_zero.one 0.001437 s: group_with_zero.one_mul 0.001286 s: group_with_zero.mul_one 0.000955 s: group_with_zero.npow 0.001318 s: group_with_zero.npow_zero' 0.001261 s: group_with_zero.npow_succ' 0.000884 s: group_with_zero.zero 0.001050 s: group_with_zero.zero_mul 0.001047 s: group_with_zero.mul_zero 0.000185 s: group_with_zero.to_monoid_with_zero 0.000910 s: comm_group_with_zero.mul 0.000876 s: comm_group_with_zero.mul_assoc 0.000774 s: comm_group_with_zero.one 0.000924 s: comm_group_with_zero.one_mul 0.000848 s: comm_group_with_zero.mul_one 0.000726 s: comm_group_with_zero.npow 0.001188 s: comm_group_with_zero.npow_zero' 0.001100 s: comm_group_with_zero.npow_succ' 0.000714 s: comm_group_with_zero.zero 0.001002 s: comm_group_with_zero.zero_mul 0.000831 s: comm_group_with_zero.mul_zero 0.000702 s: comm_group_with_zero.inv 0.000726 s: comm_group_with_zero.div 0.002024 s: comm_group_with_zero.div_eq_mul_inv 0.000801 s: comm_group_with_zero.exists_pair_ne 0.003589 s: comm_group_with_zero.inv_zero 0.005386 s: comm_group_with_zero.mul_inv_cancel 0.001072 s: comm_group_with_zero.to_group_with_zero 0.000192 s: has_lift_t 0.000042 s: has_lift_t.lift 0.000032 s: lift_t 0.000018 s: coe 0.000711 s: units 0.000570 s: monoid_with_zero.mul_assoc 0.000464 s: monoid_with_zero.npow 0.000788 s: monoid_with_zero.npow_zero' 0.000716 s: monoid_with_zero.npow_succ' 0.000163 s: monoid_with_zero.to_monoid 0.002404 s: comm_monoid_with_zero 0.000326 s: comm_monoid_with_zero.mul 0.000455 s: comm_monoid_with_zero.mul_assoc 0.000308 s: comm_monoid_with_zero.one 0.000436 s: comm_monoid_with_zero.one_mul 0.000398 s: comm_monoid_with_zero.mul_one 0.000289 s: comm_monoid_with_zero.npow 0.000619 s: comm_monoid_with_zero.npow_zero' 0.000764 s: comm_monoid_with_zero.npow_succ' 0.000329 s: comm_monoid_with_zero.zero 0.000498 s: comm_monoid_with_zero.zero_mul 0.000872 s: comm_monoid_with_zero.mul_zero 0.000298 s: comm_monoid_with_zero.to_monoid_with_zero 0.004486 s: comm_cancel_monoid_with_zero 0.000787 s: comm_cancel_monoid_with_zero.mul 0.000972 s: comm_cancel_monoid_with_zero.mul_assoc 0.000774 s: comm_cancel_monoid_with_zero.one 0.001336 s: comm_cancel_monoid_with_zero.one_mul 0.000774 s: comm_cancel_monoid_with_zero.mul_one 0.000681 s: comm_cancel_monoid_with_zero.npow 0.001278 s: comm_cancel_monoid_with_zero.npow_zero' 0.001114 s: comm_cancel_monoid_with_zero.npow_succ' 0.000858 s: comm_cancel_monoid_with_zero.mul_comm 0.000607 s: comm_cancel_monoid_with_zero.zero 0.000801 s: comm_cancel_monoid_with_zero.zero_mul 0.000624 s: comm_cancel_monoid_with_zero.mul_zero 0.000206 s: comm_cancel_monoid_with_zero.to_comm_monoid_with_zero 0.003235 s: cancel_monoid_with_zero 0.000523 s: cancel_monoid_with_zero.mul 0.000039 s: eq.rec_on 0.000028 s: eq.mpr._proof_1 0.000036 s: eq.mpr 0.000911 s: group_with_zero.inv 0.000660 s: group_with_zero.div 0.002259 s: group_with_zero.div_eq_mul_inv 0.000227 s: group_with_zero.to_div_inv_monoid 0.000009 s: id 0.000043 s: eq.trans 0.000401 s: monoid.mul_assoc 0.000067 s: monoid.to_semigroup 0.000217 s: semigroup.mul_assoc 0.000068 s: mul_assoc 0.000033 s: true 0.004391 s: group_with_zero.mul_inv_cancel 0.000408 s: mul_inv_cancel 0.000114 s: iff 0.000043 s: iff.mpr 0.000016 s: iff.refl 0.000042 s: ne.def 0.000007 s: propext 0.000021 s: iff_false_intro 0.000004 s: trivial 0.000017 s: iff_true_intro 0.000008 s: not_false 0.000009 s: not_false_iff 0.000214 s: mul_one_class.mul_one 0.000100 s: mul_one 0.000050 s: eq_self_iff_true 0.001454 s: mul_inv_cancel_right' 0.000031 s: eq.mp 0.000235 s: mul_zero_class.mul_zero 0.000147 s: mul_zero 0.000121 s: nontrivial 0.000136 s: Exists.dcases_on 0.000063 s: nontrivial.exists_pair_ne 0.000056 s: exists_pair_ne 0.000236 s: mul_one_class.one_mul 0.000111 s: one_mul 0.000175 s: mul_zero_class.zero_mul 0.000116 s: zero_mul 0.000756 s: zero_ne_one 0.001033 s: group_with_zero.exists_pair_ne 0.000048 s: group_with_zero.to_nontrivial 0.000566 s: inv_ne_zero 0.000834 s: inv_mul_cancel 0.001286 s: inv_mul_cancel_left' 0.000797 s: group_with_zero.cancel_monoid_with_zero._proof_1 0.000590 s: group_with_zero.cancel_monoid_with_zero._proof_2 0.000469 s: group_with_zero.cancel_monoid_with_zero 0.000720 s: cancel_monoid_with_zero.mul_assoc 0.000067 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_1 0.000471 s: cancel_monoid_with_zero.one 0.000692 s: cancel_monoid_with_zero.one_mul 0.000068 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_2 0.000618 s: cancel_monoid_with_zero.mul_one 0.000067 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_3 0.000514 s: cancel_monoid_with_zero.npow 0.000987 s: cancel_monoid_with_zero.npow_zero' 0.000429 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_4 0.001573 s: cancel_monoid_with_zero.npow_succ' 0.000255 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_5 0.001390 s: comm_group_with_zero.mul_comm 0.000224 s: comm_group_with_zero.to_comm_monoid_with_zero 0.000517 s: comm_monoid_with_zero.mul_comm 0.000105 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_6 0.000722 s: cancel_monoid_with_zero.zero 0.000818 s: cancel_monoid_with_zero.zero_mul 0.000097 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_7 0.000788 s: cancel_monoid_with_zero.mul_zero 0.000071 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_8 0.002625 s: cancel_monoid_with_zero.mul_left_cancel_of_ne_zero 0.000504 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_9 0.002414 s: cancel_monoid_with_zero.mul_right_cancel_of_ne_zero 0.000414 s: comm_group_with_zero.comm_cancel_monoid_with_zero._proof_10 0.001715 s: comm_group_with_zero.comm_cancel_monoid_with_zero 0.000118 s: has_coe_t 0.000041 s: has_coe_t.coe 0.000018 s: coe_t 0.000025 s: coe_to_lift 0.000099 s: has_coe 0.000038 s: has_coe.coe 0.000019 s: coe_b 0.000027 s: coe_base 0.000099 s: units.val 0.000034 s: units.has_coe 0.000415 s: div_inv_monoid.mul 0.000507 s: div_inv_monoid.mul_assoc 0.000329 s: div_inv_monoid.one 0.000703 s: div_inv_monoid.one_mul 0.000538 s: div_inv_monoid.mul_one 0.000484 s: div_inv_monoid.npow 0.000802 s: div_inv_monoid.npow_zero' 0.000830 s: div_inv_monoid.npow_succ' 0.000221 s: div_inv_monoid.to_monoid 0.003190 s: group 0.000611 s: group.mul 0.000780 s: group.mul_assoc 0.000617 s: group.one 0.000678 s: group.one_mul 0.000597 s: group.mul_one 0.000560 s: group.npow 0.000839 s: group.npow_zero' 0.000831 s: group.npow_succ' 0.000468 s: group.inv 0.000465 s: group.div 0.001367 s: group.div_eq_mul_inv 0.000206 s: group.to_div_inv_monoid 0.000092 s: units.inv 0.000199 s: units.val_inv 0.000512 s: units.group._proof_1 0.000161 s: units.inv_val 0.000450 s: units.group._proof_2 0.000027 s: function.injective 0.000169 s: units.cases_on 0.000074 s: eq.drec 0.002028 s: units.ext 0.002295 s: units.group._proof_3 0.000050 s: units.group._proof_4 0.000076 s: units.group._proof_5 0.001768 s: units.group._proof_6 0.001833 s: units.group._proof_7 0.000208 s: npow_rec._main 0.000021 s: npow_rec 0.000101 s: monoid.npow._default 0.000092 s: div_inv_monoid.npow._default 0.001885 s: units.group._proof_8 0.002240 s: units.group._proof_9 0.003887 s: units.group._proof_10 0.003971 s: units.group._proof_11 0.000644 s: div_inv_monoid.div._default 0.002526 s: units.group._proof_12 0.002527 s: units.group._proof_13 0.002076 s: units.group._proof_14 0.004045 s: units.group._proof_15 0.004196 s: units.group._proof_16 0.015031 s: units.group._proof_17 0.027175 s: units.group._proof_18 0.034040 s: units.group 0.002527 s: normalization_monoid 0.000522 s: normalization_monoid.norm_unit 0.000030 s: comm_group_with_zero.normalization_monoid._proof_1 0.000014 s: comm_group_with_zero.normalization_monoid._proof_2 0.001660 s: units.mk0 0.000199 s: dif_pos 0.007716 s: comm_group_with_zero.normalization_monoid._proof_3 0.000029 s: iff.mp 0.000086 s: function.injective.eq_iff 0.000111 s: units.eq_iff 0.000367 s: cancel_monoid_with_zero.to_monoid_with_zero 0.003385 s: comm_cancel_monoid_with_zero.mul_left_cancel_of_ne_zero 0.004136 s: comm_cancel_monoid_with_zero.mul_right_cancel_of_ne_zero 0.000740 s: comm_cancel_monoid_with_zero.to_cancel_monoid_with_zero 0.000034 s: iff.elim_right 0.000014 s: iff.elim_left 0.000046 s: not_iff_not_of_iff 0.000040 s: iff.trans 0.000310 s: no_zero_divisors 0.000135 s: no_zero_divisors.eq_zero_or_eq_zero_of_mul_eq_zero 0.000027 s: or.elim 0.000111 s: mul_eq_zero_of_left 0.000162 s: mul_eq_zero_of_right 0.000171 s: mul_eq_zero 0.000048 s: decidable.by_contradiction 0.000120 s: nonempty 0.000005 s: classical.choice 0.000066 s: subtype.val 0.000081 s: classical.indefinite_description._match_1 0.000043 s: classical.indefinite_description 0.000033 s: classical.some 0.000013 s: _private.811303905.U 0.000039 s: _private.29268479.exU 0.000022 s: _private.2710871855.u 0.000011 s: _private.3867973571.V 0.000036 s: _private.760126093.exV 0.000020 s: _private.2053038997.v 0.000072 s: subtype.property 0.000076 s: classical.some_spec 0.000046 s: _private.1247348485.u_def 0.000055 s: _private.2871420677.v_def 0.000039 s: ne_false_of_self 0.000016 s: true_ne_false 0.000127 s: _private.1339425711.not_uv_or_p 0.000020 s: mt 0.000017 s: reflexive 0.000017 s: symmetric 0.000018 s: transitive 0.000028 s: equivalence 0.000144 s: setoid 0.000057 s: setoid.r 0.000021 s: quotient 0.000049 s: function.equiv 0.000062 s: mk_equivalence 0.000057 s: function.equiv.refl 0.000111 s: function.equiv.symm 0.000108 s: function.equiv.trans 0.000201 s: function.equiv.is_equivalence 0.000038 s: _private.1627920919.fun_setoid 0.000035 s: _private.531824637.extfun 0.000081 s: quot.lift_on 0.000070 s: _private.1158032381.extfun_app._proof_1 0.000103 s: _private.1158032381.extfun_app 0.000051 s: quotient.mk 0.000140 s: has_equiv 0.000034 s: has_equiv.equiv 0.000017 s: setoid_has_equiv 0.000018 s: quot.sound 0.000115 s: quotient.sound 0.000422 s: funext 0.000273 s: _private.2277208427.p_implies_uv 0.000079 s: classical.em 0.000048 s: classical.prop_decidable._proof_1 0.000030 s: classical.prop_decidable 0.000017 s: classical.by_contradiction 0.000021 s: imp_of_not_imp_not 0.000049 s: imp_congr 0.000009 s: iff.rfl 0.000035 s: eq.to_iff 0.000058 s: imp_congr_eq 0.000069 s: and.dcases_on 0.000115 s: not_or_distrib 0.000056 s: push_neg.not_or_eq 0.000037 s: push_neg.not_eq 0.000185 s: left_ne_zero_of_mul 0.000056 s: trans_rel_right 0.000039 s: ne.symm 0.000090 s: one_ne_zero 0.000111 s: ne_zero_of_eq_one 0.000133 s: left_ne_zero_of_mul_eq_one 0.000627 s: units.mul_inv 0.001024 s: units.ne_zero 0.001962 s: group_with_zero.no_zero_divisors 0.000077 s: or.imp 0.000064 s: or_congr 0.000029 s: or_self 0.000008 s: decidable.false 0.000534 s: dif_ctx_congr 0.000188 s: dif_neg 0.000138 s: right_ne_zero_of_mul 0.000132 s: right_ne_zero_of_mul_eq_one 0.000532 s: eq_inv_of_mul_left_eq_one 0.000617 s: units.inv_mul 0.001041 s: units.coe_inv' 0.000274 s: units.coe_mk0 0.003961 s: group_with_zero.inv_zero 0.000166 s: inv_zero 0.001442 s: mul_inv_rev' 0.000683 s: comm_semigroup 0.000163 s: comm_semigroup.mul 0.000325 s: comm_semigroup.mul_assoc 0.000073 s: comm_semigroup.to_semigroup 0.002004 s: comm_monoid 0.000441 s: comm_monoid.mul 0.000432 s: comm_monoid.mul_assoc 0.000601 s: comm_monoid.mul_comm 0.000080 s: comm_monoid.to_comm_semigroup 0.000351 s: comm_monoid_with_zero.to_comm_monoid 0.000383 s: comm_semigroup.mul_comm 0.000129 s: mul_comm 0.001030 s: mul_inv' 0.000797 s: units.coe_mul 0.000022 s: or_true 0.000016 s: iff_self 0.000285 s: mul_left_cancel' 0.000155 s: mul_right_inj' 0.000013 s: false.elim 0.000048 s: or_false 0.000722 s: mul_eq_mul_left_iff 0.000022 s: function.involutive 0.000023 s: function.left_inverse 0.000145 s: function.left_inverse.injective 0.000038 s: function.involutive.left_inverse 0.000041 s: function.involutive.injective 0.001020 s: mul_inv_cancel_left' 0.000762 s: inv_inv' 0.000052 s: inv_involutive' 0.000046 s: inv_injective' 0.000071 s: inv_inj' 0.000040 s: eq_comm 0.000246 s: inv_eq_iff 0.000253 s: inv_eq_zero 0.012295 s: comm_group_with_zero.normalization_monoid._proof_4 0.000717 s: units.mk0_coe 0.008147 s: comm_group_with_zero.normalization_monoid._proof_5 0.003630 s: comm_group_with_zero.normalization_monoid 0.003707 s: comm_group_with_zero.coe_norm_unit 0.000562 s: add_zero_class 0.000093 s: add_zero_class.zero 0.000049 s: add_zero_class.to_has_zero 0.000082 s: add_zero_class.add 0.000018 s: add_zero_class.to_has_add 0.000106 s: has_sub 0.000032 s: has_sub.sub 0.001726 s: add_monoid 0.000310 s: add_monoid.zero 0.000253 s: add_monoid.add 0.000626 s: add_monoid.zero_add 0.000451 s: add_monoid.add_zero 0.000213 s: add_monoid.to_add_zero_class 0.000202 s: has_neg 0.000051 s: has_neg.neg 0.002784 s: sub_neg_monoid 0.000597 s: sub_neg_monoid.add 0.000702 s: sub_neg_monoid.add_assoc 0.000545 s: sub_neg_monoid.zero 0.000518 s: sub_neg_monoid.zero_add 0.000484 s: sub_neg_monoid.add_zero 0.000421 s: sub_neg_monoid.nsmul 0.000768 s: sub_neg_monoid.nsmul_zero' 0.000761 s: sub_neg_monoid.nsmul_succ' 0.000182 s: sub_neg_monoid.to_add_monoid 0.000375 s: sub_neg_monoid.neg 0.000023 s: sub_neg_monoid.to_has_neg 0.000297 s: add_semigroup 0.000063 s: add_semigroup.add 0.000020 s: add_semigroup.to_has_add 0.000845 s: preorder 0.000158 s: preorder.le 0.000020 s: preorder.to_has_le 0.001498 s: partial_order 0.000231 s: partial_order.le 0.000226 s: partial_order.lt 0.000290 s: partial_order.le_refl 0.000327 s: partial_order.le_trans 0.000426 s: partial_order.lt_iff_le_not_le 0.000180 s: partial_order.to_preorder 0.003475 s: add_group 0.000515 s: add_group.add 0.000733 s: add_group.add_assoc 0.000645 s: add_group.zero 0.000839 s: add_group.zero_add 0.000684 s: add_group.add_zero 0.000589 s: add_group.nsmul 0.000903 s: add_group.nsmul_zero' 0.000856 s: add_group.nsmul_succ' 0.000510 s: add_group.neg 0.000459 s: add_group.sub 0.001723 s: add_group.sub_eq_add_neg 0.000320 s: add_group.to_sub_neg_monoid 0.003956 s: add_comm_group 0.000981 s: add_comm_group.add 0.000880 s: add_comm_group.add_assoc 0.000698 s: add_comm_group.zero 0.000792 s: add_comm_group.zero_add 0.000621 s: add_comm_group.add_zero 0.000554 s: add_comm_group.nsmul 0.000925 s: add_comm_group.nsmul_zero' 0.000894 s: add_comm_group.nsmul_succ' 0.000536 s: add_comm_group.neg 0.000491 s: add_comm_group.sub 0.001555 s: add_comm_group.sub_eq_add_neg 0.003298 s: add_comm_group.add_left_neg 0.000338 s: add_comm_group.to_add_group 0.007217 s: ordered_add_comm_group 0.001330 s: ordered_add_comm_group.le 0.001138 s: ordered_add_comm_group.lt 0.001369 s: ordered_add_comm_group.le_refl 0.001825 s: ordered_add_comm_group.le_trans 0.001723 s: ordered_add_comm_group.lt_iff_le_not_le 0.001831 s: ordered_add_comm_group.le_antisymm 0.000163 s: ordered_add_comm_group.to_partial_order 0.003424 s: semiring 0.000734 s: semiring.mul 0.001059 s: semiring.mul_assoc 0.000616 s: semiring.one 0.000863 s: semiring.one_mul 0.000668 s: semiring.mul_one 0.000563 s: semiring.npow 0.000946 s: semiring.npow_zero' 0.001307 s: semiring.npow_succ' 0.000537 s: semiring.zero 0.000793 s: semiring.zero_mul 0.000659 s: semiring.mul_zero 0.000244 s: semiring.to_monoid_with_zero 0.005270 s: ring 0.001389 s: ring.add 0.001706 s: ring.add_assoc 0.001330 s: ring.zero 0.001615 s: ring.zero_add 0.001346 s: ring.add_zero 0.001093 s: ring.nsmul 0.001407 s: ring.nsmul_zero' 0.001178 s: ring.nsmul_succ' 0.000892 s: ring.add_comm 0.000799 s: ring.mul 0.001039 s: ring.mul_assoc 0.001238 s: ring.one 0.001348 s: ring.one_mul 0.001128 s: ring.mul_one 0.000928 s: ring.npow 0.001259 s: ring.npow_zero' 0.001239 s: ring.npow_succ' 0.000552 s: add_left_cancel_semigroup 0.000104 s: add_left_cancel_semigroup.add 0.000205 s: add_left_cancel_semigroup.add_assoc 0.000044 s: add_left_cancel_semigroup.to_add_semigroup 0.000276 s: add_left_cancel_semigroup.add_left_cancel 0.000087 s: add_left_cancel 0.001503 s: add_left_cancel_monoid 0.000270 s: add_left_cancel_monoid.add 0.000416 s: add_left_cancel_monoid.add_assoc 0.000441 s: add_left_cancel_monoid.add_left_cancel 0.000065 s: add_left_cancel_monoid.to_add_left_cancel_semigroup 0.001666 s: add_cancel_comm_monoid 0.000290 s: add_cancel_comm_monoid.add 0.000452 s: add_cancel_comm_monoid.add_assoc 0.000443 s: add_cancel_comm_monoid.add_left_cancel 0.000310 s: add_cancel_comm_monoid.zero 0.000568 s: add_cancel_comm_monoid.zero_add 0.000473 s: add_cancel_comm_monoid.add_zero 0.000330 s: add_cancel_comm_monoid.nsmul 0.000787 s: add_cancel_comm_monoid.nsmul_zero' 0.000696 s: add_cancel_comm_monoid.nsmul_succ' 0.000208 s: add_cancel_comm_monoid.to_add_left_cancel_monoid 0.001756 s: add_cancel_monoid 0.000400 s: add_cancel_monoid.add 0.000395 s: add_monoid.add_assoc 0.000053 s: add_monoid.to_add_semigroup 0.000374 s: add_semigroup.add_assoc 0.000130 s: add_assoc 0.004771 s: add_group.add_left_neg 0.000299 s: add_left_neg 0.000428 s: add_zero_class.zero_add 0.000075 s: zero_add 0.000400 s: neg_add_cancel_left 0.000499 s: add_group.to_cancel_add_monoid._proof_1 0.000204 s: add_zero_class.add_zero 0.000081 s: add_zero 0.000440 s: left_neg_eq_right_neg 0.000071 s: neg_add_self 0.000241 s: neg_eq_of_add_eq_zero 0.000113 s: neg_neg 0.000157 s: add_right_neg 0.000420 s: add_neg_cancel_right 0.000517 s: add_group.to_cancel_add_monoid._proof_2 0.000294 s: add_group.to_cancel_add_monoid 0.000568 s: add_cancel_monoid.add_assoc 0.000556 s: add_cancel_monoid.add_left_cancel 0.000094 s: add_comm_group.to_cancel_add_comm_monoid._proof_1 0.000798 s: add_comm_group.add_comm 0.000812 s: add_comm_group.to_cancel_add_comm_monoid 0.001391 s: ring.neg 0.001299 s: ring.sub 0.003442 s: ring.sub_eq_add_neg 0.004808 s: ring.add_left_neg 0.000498 s: ring.to_add_comm_group 0.000735 s: distrib 0.000141 s: distrib.mul 0.000049 s: distrib.to_has_mul 0.001345 s: ring.left_distrib 0.001249 s: ring.right_distrib 0.000399 s: ring.to_distrib 0.000208 s: distrib.add 0.000091 s: distrib.to_has_add 0.000648 s: distrib.right_distrib 0.000226 s: right_distrib 0.000060 s: add_mul 0.001611 s: ring.to_semiring._proof_1 0.000375 s: distrib.left_distrib 0.000190 s: left_distrib 0.000033 s: mul_add 0.001508 s: ring.to_semiring._proof_2 0.000469 s: ring.to_semiring 0.000178 s: preorder.lt 0.000021 s: preorder.to_has_lt 0.005148 s: comm_ring 0.001092 s: comm_ring.add 0.001156 s: comm_ring.add_assoc 0.001023 s: comm_ring.zero 0.001303 s: comm_ring.zero_add 0.001086 s: comm_ring.add_zero 0.001078 s: comm_ring.nsmul 0.001558 s: comm_ring.nsmul_zero' 0.001401 s: comm_ring.nsmul_succ' 0.000842 s: comm_ring.neg 0.000736 s: comm_ring.sub 0.002056 s: comm_ring.sub_eq_add_neg 0.005093 s: comm_ring.add_left_neg 0.001354 s: comm_ring.add_comm 0.001314 s: comm_ring.mul 0.001538 s: comm_ring.mul_assoc 0.001347 s: comm_ring.one 0.001565 s: comm_ring.one_mul 0.001302 s: comm_ring.mul_one 0.001028 s: comm_ring.npow 0.001284 s: comm_ring.npow_zero' 0.001894 s: comm_ring.npow_succ' 0.001196 s: comm_ring.left_distrib 0.001174 s: comm_ring.right_distrib 0.000664 s: comm_ring.to_ring 0.026104 s: linear_ordered_field 0.000696 s: directed_order 0.000111 s: directed_order.to_preorder 0.003816 s: linear_order 0.000112 s: has_inf 0.000036 s: has_inf.inf 0.003630 s: semilattice_inf 0.000614 s: semilattice_inf.le 0.000612 s: semilattice_inf.lt 0.000728 s: semilattice_inf.le_refl 0.000704 s: semilattice_inf.le_trans 0.000928 s: semilattice_inf.lt_iff_le_not_le 0.001345 s: semilattice_inf.le_antisymm 0.000332 s: semilattice_inf.to_partial_order 0.000267 s: has_sup 0.000040 s: has_sup.sup 0.005793 s: lattice 0.000722 s: lattice.inf 0.000724 s: lattice.le 0.000634 s: lattice.lt 0.000926 s: lattice.le_refl 0.000807 s: lattice.le_trans 0.000871 s: lattice.lt_iff_le_not_le 0.001007 s: lattice.le_antisymm 0.001399 s: lattice.inf_le_left 0.001476 s: lattice.inf_le_right 0.002205 s: lattice.le_inf 0.000416 s: lattice.to_semilattice_inf 0.000059 s: ite 0.000642 s: linear_order.le 0.000466 s: linear_order.lt 0.000454 s: linear_order.le_refl 0.000497 s: linear_order.le_trans 0.000664 s: linear_order.lt_iff_le_not_le 0.000955 s: linear_order.le_antisymm 0.000160 s: linear_order.to_partial_order 0.001427 s: linear_order.decidable_le 0.000234 s: has_le.le.decidable 0.000162 s: max 0.000174 s: max.equations._eqn_1 0.000010 s: decidable.true 0.000475 s: if_ctx_congr 0.000211 s: if_congr 0.000115 s: if_pos 0.000249 s: preorder.le_refl 0.000073 s: le_refl 0.000160 s: if_neg 0.000046 s: or.resolve_left 0.001429 s: linear_order.le_total 0.000093 s: le_total 0.000068 s: le_of_not_le 0.000714 s: le_max_left 0.000543 s: le_max_right 0.000538 s: max_le 0.000078 s: lattice_of_linear_order._proof_1 0.000077 s: min 0.000181 s: min.equations._eqn_1 0.000412 s: min_le_left 0.000515 s: min_le_right 0.000590 s: le_min 0.000119 s: lattice_of_linear_order._proof_2 0.001169 s: lattice_of_linear_order 0.000036 s: or.cases_on 0.001590 s: linear_order.to_directed_order._proof_1 0.000064 s: linear_order.to_directed_order 0.021145 s: linear_ordered_ring 0.002974 s: linear_ordered_ring.le 0.002341 s: linear_ordered_ring.lt 0.003928 s: linear_ordered_ring.le_refl 0.002967 s: linear_ordered_ring.le_trans 0.003169 s: linear_ordered_ring.lt_iff_le_not_le 0.003970 s: linear_ordered_ring.le_antisymm 0.004012 s: linear_ordered_ring.le_total 0.003811 s: linear_ordered_ring.decidable_le 0.003315 s: linear_ordered_ring.decidable_eq 0.003440 s: linear_ordered_ring.decidable_lt 0.000330 s: linear_ordered_ring.to_linear_order 0.021609 s: linear_ordered_comm_ring 0.003317 s: linear_ordered_comm_ring.add 0.003341 s: linear_ordered_comm_ring.add_assoc 0.002636 s: linear_ordered_comm_ring.zero 0.003148 s: linear_ordered_comm_ring.zero_add 0.002986 s: linear_ordered_comm_ring.add_zero 0.002693 s: linear_ordered_comm_ring.nsmul 0.003579 s: linear_ordered_comm_ring.nsmul_zero' 0.003367 s: linear_ordered_comm_ring.nsmul_succ' 0.002559 s: linear_ordered_comm_ring.neg 0.002675 s: linear_ordered_comm_ring.sub 0.005480 s: linear_ordered_comm_ring.sub_eq_add_neg 0.009046 s: linear_ordered_comm_ring.add_left_neg 0.003606 s: linear_ordered_comm_ring.add_comm 0.003900 s: linear_ordered_comm_ring.mul 0.003549 s: linear_ordered_comm_ring.mul_assoc 0.002687 s: linear_ordered_comm_ring.one 0.003345 s: linear_ordered_comm_ring.one_mul 0.003117 s: linear_ordered_comm_ring.mul_one 0.002799 s: linear_ordered_comm_ring.npow 0.003567 s: linear_ordered_comm_ring.npow_zero' 0.003387 s: linear_ordered_comm_ring.npow_succ' 0.003071 s: linear_ordered_comm_ring.left_distrib 0.003391 s: linear_ordered_comm_ring.right_distrib 0.002511 s: linear_ordered_comm_ring.le 0.002447 s: linear_ordered_comm_ring.lt 0.002863 s: linear_ordered_comm_ring.le_refl 0.002782 s: linear_ordered_comm_ring.le_trans 0.003463 s: linear_ordered_comm_ring.lt_iff_le_not_le 0.003115 s: linear_ordered_comm_ring.le_antisymm 0.020186 s: linear_ordered_comm_ring.add_le_add_left 0.044203 s: linear_ordered_comm_ring.zero_le_one 0.114507 s: linear_ordered_comm_ring.mul_pos 0.004879 s: linear_ordered_comm_ring.le_total 0.003853 s: linear_ordered_comm_ring.decidable_le 0.002752 s: linear_ordered_comm_ring.decidable_eq 0.004214 s: linear_ordered_comm_ring.decidable_lt 0.002762 s: linear_ordered_comm_ring.exists_pair_ne 0.002217 s: linear_ordered_comm_ring.to_linear_ordered_ring 0.003469 s: linear_ordered_field.add 0.004156 s: linear_ordered_field.add_assoc 0.003463 s: linear_ordered_field.zero 0.004559 s: linear_ordered_field.zero_add 0.004291 s: linear_ordered_field.add_zero 0.004189 s: linear_ordered_field.nsmul 0.005088 s: linear_ordered_field.nsmul_zero' 0.005581 s: linear_ordered_field.nsmul_succ' 0.003916 s: linear_ordered_field.neg 0.003860 s: linear_ordered_field.sub 0.007642 s: linear_ordered_field.sub_eq_add_neg 0.014465 s: linear_ordered_field.add_left_neg 0.006717 s: linear_ordered_field.add_comm 0.004649 s: linear_ordered_field.mul 0.005532 s: linear_ordered_field.mul_assoc 0.004977 s: linear_ordered_field.one 0.006260 s: linear_ordered_field.one_mul 0.005519 s: linear_ordered_field.mul_one 0.005845 s: linear_ordered_field.npow 0.005745 s: linear_ordered_field.npow_zero' 0.007273 s: linear_ordered_field.npow_succ' 0.005557 s: linear_ordered_field.left_distrib 0.005049 s: linear_ordered_field.right_distrib 0.005544 s: linear_ordered_field.le 0.005213 s: linear_ordered_field.lt 0.006082 s: linear_ordered_field.le_refl 0.005856 s: linear_ordered_field.le_trans 0.006406 s: linear_ordered_field.lt_iff_le_not_le 0.005987 s: linear_ordered_field.le_antisymm 0.026316 s: linear_ordered_field.add_le_add_left 0.057240 s: linear_ordered_field.zero_le_one 0.156223 s: linear_ordered_field.mul_pos 0.008003 s: linear_ordered_field.le_total 0.006337 s: linear_ordered_field.decidable_le 0.005405 s: linear_ordered_field.decidable_eq 0.005676 s: linear_ordered_field.decidable_lt 0.004901 s: linear_ordered_field.exists_pair_ne 0.005244 s: linear_ordered_field.mul_comm 0.003514 s: linear_ordered_field.to_linear_ordered_comm_ring 0.027596 s: ordered_ring 0.003244 s: ordered_ring.add 0.003385 s: ordered_ring.add_assoc 0.003423 s: ordered_ring.zero 0.003374 s: ordered_ring.zero_add 0.002824 s: ordered_ring.add_zero 0.003069 s: ordered_ring.nsmul 0.003653 s: ordered_ring.nsmul_zero' 0.003967 s: ordered_ring.nsmul_succ' 0.002955 s: ordered_ring.neg 0.002919 s: ordered_ring.sub 0.005216 s: ordered_ring.sub_eq_add_neg 0.009826 s: ordered_ring.add_left_neg 0.004753 s: ordered_ring.add_comm 0.003370 s: ordered_ring.mul 0.003777 s: ordered_ring.mul_assoc 0.002815 s: ordered_ring.one 0.002966 s: ordered_ring.one_mul 0.002858 s: ordered_ring.mul_one 0.002789 s: ordered_ring.npow 0.004534 s: ordered_ring.npow_zero' 0.003842 s: ordered_ring.npow_succ' 0.004084 s: ordered_ring.left_distrib 0.003619 s: ordered_ring.right_distrib 0.000833 s: ordered_ring.to_ring 0.003386 s: linear_ordered_ring.add 0.003023 s: linear_ordered_ring.add_assoc 0.002818 s: linear_ordered_ring.zero 0.003543 s: linear_ordered_ring.zero_add 0.004507 s: linear_ordered_ring.add_zero 0.003119 s: linear_ordered_ring.nsmul 0.003772 s: linear_ordered_ring.nsmul_zero' 0.003774 s: linear_ordered_ring.nsmul_succ' 0.003104 s: linear_ordered_ring.neg 0.002768 s: linear_ordered_ring.sub 0.005694 s: linear_ordered_ring.sub_eq_add_neg 0.010613 s: linear_ordered_ring.add_left_neg 0.003615 s: linear_ordered_ring.add_comm 0.003609 s: linear_ordered_ring.mul 0.003643 s: linear_ordered_ring.mul_assoc 0.005272 s: linear_ordered_ring.one 0.004337 s: linear_ordered_ring.one_mul 0.003174 s: linear_ordered_ring.mul_one 0.003057 s: linear_ordered_ring.npow 0.004193 s: linear_ordered_ring.npow_zero' 0.003813 s: linear_ordered_ring.npow_succ' 0.003174 s: linear_ordered_ring.left_distrib 0.003112 s: linear_ordered_ring.right_distrib 0.020076 s: linear_ordered_ring.add_le_add_left 0.048305 s: linear_ordered_ring.zero_le_one 0.124455 s: linear_ordered_ring.mul_pos 0.003610 s: linear_ordered_ring.to_ordered_ring 0.009609 s: is_absolute_value 0.000026 s: gt 0.000019 s: ge 0.000625 s: sub_neg_monoid.sub 0.000041 s: sub_neg_monoid.to_has_sub 0.000154 s: is_cau_seq 0.000057 s: cau_seq 0.000275 s: has_coe_to_fun 0.000039 s: has_coe_to_fun.F 0.000067 s: has_coe_to_fun.coe 0.000024 s: coe_fn 0.000080 s: cau_seq.has_coe_to_fun 0.000162 s: nat.le_trans 0.000057 s: nat.le_succ 0.000045 s: nat.le_of_succ_le 0.000047 s: nat.le_of_lt 0.000077 s: nat.not_succ_le_self 0.000035 s: nat.lt_irrefl 0.000069 s: nat.lt_of_le_of_lt 0.000061 s: or.resolve_right 0.000029 s: or.swap 0.000045 s: nat.less_than_or_equal.cases_on 0.000110 s: nat.eq_or_lt_of_le 0.000057 s: nat.lt_of_le_and_ne 0.000141 s: nat.lt_iff_le_not_le 0.000131 s: nat.le_antisymm 0.000029 s: or.imp_left 0.000107 s: or.dcases_on 0.000028 s: nat.le_succ_of_le 0.000034 s: nat.lt.base 0.000013 s: nat.lt_succ_self 0.000837 s: nat.lt_or_ge 0.000042 s: nat.le_total 0.000149 s: nat.decidable_eq._match_1 0.000432 s: nat.decidable_eq._main 0.000008 s: nat.decidable_eq 0.000554 s: nat.linear_order 0.000867 s: cau_seq.has_add._match_1 0.001290 s: cau_seq.has_add._match_2 0.000039 s: le_rfl 0.000262 s: exists_ge_of_linear 0.000395 s: preorder.le_trans 0.000107 s: le_trans 0.001760 s: exists_forall_ge_and 0.000051 s: exists.elim 0.000074 s: exists_imp_exists 0.000073 s: Exists.imp 0.000553 s: div_inv_monoid.div 0.000025 s: div_inv_monoid.to_has_div 0.011840 s: field 0.002285 s: field.mul 0.002637 s: field.mul_assoc 0.002411 s: field.one 0.002933 s: field.one_mul 0.003193 s: field.mul_one 0.002828 s: field.npow 0.003323 s: field.npow_zero' 0.002505 s: field.npow_succ' 0.001948 s: field.inv 0.001873 s: field.div 0.004012 s: field.div_eq_mul_inv 0.000302 s: field.to_div_inv_monoid 0.004254 s: linear_ordered_field.inv 0.003800 s: linear_ordered_field.div 0.007418 s: linear_ordered_field.div_eq_mul_inv 0.042026 s: linear_ordered_field.mul_inv_cancel 0.037544 s: linear_ordered_field.inv_zero 0.004946 s: linear_ordered_field.to_field 0.016512 s: division_ring 0.002763 s: division_ring.mul 0.002724 s: division_ring.mul_assoc 0.002422 s: division_ring.one 0.002491 s: division_ring.one_mul 0.002367 s: division_ring.mul_one 0.002213 s: division_ring.npow 0.004509 s: division_ring.npow_zero' 0.003284 s: division_ring.npow_succ' 0.002623 s: division_ring.inv 0.002042 s: division_ring.div 0.004304 s: division_ring.div_eq_mul_inv 0.000357 s: division_ring.to_div_inv_monoid 0.002935 s: field.add 0.002842 s: field.add_assoc 0.000065 s: field.to_division_ring._proof_1 0.002266 s: field.zero 0.002755 s: field.zero_add 0.000089 s: field.to_division_ring._proof_2 0.003015 s: field.add_zero 0.000083 s: field.to_division_ring._proof_3 0.002917 s: field.nsmul 0.004141 s: field.nsmul_zero' 0.000365 s: field.to_division_ring._proof_4 0.003993 s: field.nsmul_succ' 0.000219 s: field.to_division_ring._proof_5 0.002388 s: field.neg 0.002332 s: field.sub 0.005059 s: field.sub_eq_add_neg 0.000469 s: field.to_division_ring._proof_6 0.008326 s: field.add_left_neg 0.000519 s: field.to_division_ring._proof_7 0.003840 s: field.add_comm 0.000107 s: field.to_division_ring._proof_8 0.000058 s: field.to_division_ring._proof_9 0.000053 s: field.to_division_ring._proof_10 0.000062 s: field.to_division_ring._proof_11 0.000279 s: field.to_division_ring._proof_12 0.000156 s: field.to_division_ring._proof_13 0.002825 s: field.left_distrib 0.000082 s: field.to_division_ring._proof_14 0.002912 s: field.right_distrib 0.000083 s: field.to_division_ring._proof_15 0.000369 s: field.to_division_ring._proof_16 0.002420 s: field.exists_pair_ne 0.000070 s: field.to_division_ring._proof_17 0.002821 s: field.mul_comm 0.029187 s: field.mul_inv_cancel 0.003689 s: field.to_division_ring._proof_18 0.021365 s: field.inv_zero 0.003299 s: field.to_division_ring._proof_19 0.019432 s: field.to_division_ring 0.004914 s: division_ring.add 0.002883 s: division_ring.add_assoc 0.002526 s: division_ring.zero 0.002792 s: division_ring.zero_add 0.002316 s: division_ring.add_zero 0.002485 s: division_ring.nsmul 0.003282 s: division_ring.nsmul_zero' 0.003197 s: division_ring.nsmul_succ' 0.003670 s: division_ring.neg 0.003705 s: division_ring.sub 0.006593 s: division_ring.sub_eq_add_neg 0.007466 s: division_ring.add_left_neg 0.003399 s: division_ring.add_comm 0.002646 s: division_ring.left_distrib 0.003102 s: division_ring.right_distrib 0.000884 s: division_ring.to_ring 0.001756 s: div_inv_monoid.div_eq_mul_inv 0.000172 s: div_eq_mul_inv 0.001009 s: div_add_div_same 0.000729 s: semiring.add 0.001022 s: semiring.left_distrib 0.000833 s: semiring.right_distrib 0.000111 s: semiring.to_distrib 0.000853 s: two_mul 0.000012 s: infer_instance 0.000123 s: division_ring.to_group_with_zero._proof_1 0.000089 s: division_ring.to_group_with_zero._proof_2 0.002371 s: division_ring.exists_pair_ne 0.018987 s: division_ring.inv_zero 0.026640 s: division_ring.mul_inv_cancel 0.009426 s: division_ring.to_group_with_zero 0.000079 s: field.to_comm_group_with_zero._proof_1 0.000081 s: field.to_comm_group_with_zero._proof_2 0.000061 s: field.to_comm_group_with_zero._proof_3 0.000431 s: field.to_comm_group_with_zero._proof_4 0.000235 s: field.to_comm_group_with_zero._proof_5 0.000080 s: field.to_comm_group_with_zero._proof_6 0.000100 s: field.to_comm_group_with_zero._proof_7 0.000384 s: field.to_comm_group_with_zero._proof_8 0.000036 s: field.to_comm_group_with_zero._proof_9 0.000518 s: field.to_comm_group_with_zero._proof_10 0.000601 s: field.to_comm_group_with_zero._proof_11 0.002471 s: field.to_comm_group_with_zero 0.001906 s: add_right_cancel_monoid 0.000356 s: add_right_cancel_monoid.add 0.000598 s: add_right_cancel_monoid.add_assoc 0.000339 s: add_right_cancel_monoid.zero 0.000619 s: add_right_cancel_monoid.zero_add 0.000674 s: add_right_cancel_monoid.add_zero 0.000391 s: add_right_cancel_monoid.nsmul 0.000777 s: add_right_cancel_monoid.nsmul_zero' 0.000772 s: add_right_cancel_monoid.nsmul_succ' 0.000225 s: add_right_cancel_monoid.to_add_monoid 0.000649 s: add_cancel_monoid.add_right_cancel 0.000361 s: add_cancel_monoid.zero 0.000617 s: add_cancel_monoid.zero_add 0.000458 s: add_cancel_monoid.add_zero 0.000331 s: add_cancel_monoid.nsmul 0.000646 s: add_cancel_monoid.nsmul_zero' 0.000693 s: add_cancel_monoid.nsmul_succ' 0.000218 s: add_cancel_monoid.to_add_right_cancel_monoid 0.000513 s: add_comm_semigroup 0.000111 s: add_comm_semigroup.add 0.000233 s: add_comm_semigroup.add_assoc 0.000045 s: add_comm_semigroup.to_add_semigroup 0.001649 s: add_comm_monoid 0.000293 s: add_comm_monoid.add 0.000434 s: add_comm_monoid.add_assoc 0.000474 s: add_comm_monoid.add_comm 0.000065 s: add_comm_monoid.to_add_comm_semigroup 0.000576 s: add_cancel_comm_monoid.add_comm 0.000190 s: add_cancel_comm_monoid.to_add_comm_monoid 0.000265 s: add_comm_semigroup.add_comm 0.000107 s: add_comm 0.000723 s: add_cancel_comm_monoid.to_cancel_add_monoid._proof_1 0.000395 s: add_cancel_comm_monoid.to_cancel_add_monoid 0.007442 s: ordered_cancel_add_comm_monoid 0.001012 s: ordered_cancel_add_comm_monoid.le 0.000889 s: ordered_cancel_add_comm_monoid.lt 0.001080 s: ordered_cancel_add_comm_monoid.le_refl 0.001119 s: ordered_cancel_add_comm_monoid.le_trans 0.001230 s: ordered_cancel_add_comm_monoid.lt_iff_le_not_le 0.001563 s: ordered_cancel_add_comm_monoid.le_antisymm 0.000170 s: ordered_cancel_add_comm_monoid.to_partial_order 0.020412 s: ordered_semiring 0.002954 s: ordered_semiring.add 0.003081 s: ordered_semiring.add_assoc 0.002415 s: ordered_semiring.zero 0.004244 s: ordered_semiring.zero_add 0.003341 s: ordered_semiring.add_zero 0.002504 s: ordered_semiring.nsmul 0.003127 s: ordered_semiring.nsmul_zero' 0.003382 s: ordered_semiring.nsmul_succ' 0.003062 s: ordered_semiring.add_comm 0.002525 s: ordered_semiring.mul 0.002665 s: ordered_semiring.mul_assoc 0.002283 s: ordered_semiring.one 0.002797 s: ordered_semiring.one_mul 0.004087 s: ordered_semiring.mul_one 0.003482 s: ordered_semiring.npow 0.003347 s: ordered_semiring.npow_zero' 0.003285 s: ordered_semiring.npow_succ' 0.003437 s: ordered_semiring.zero_mul 0.003802 s: ordered_semiring.mul_zero 0.003242 s: ordered_semiring.left_distrib 0.002743 s: ordered_semiring.right_distrib 0.000583 s: ordered_semiring.to_semiring 0.000078 s: ordered_ring.to_ordered_semiring._proof_1 0.000079 s: ordered_ring.to_ordered_semiring._proof_2 0.001176 s: ordered_cancel_add_comm_monoid.add 0.001244 s: ordered_cancel_add_comm_monoid.add_assoc 0.001183 s: ordered_cancel_add_comm_monoid.add_left_cancel 0.000885 s: ordered_cancel_add_comm_monoid.zero 0.001133 s: ordered_cancel_add_comm_monoid.zero_add 0.001222 s: ordered_cancel_add_comm_monoid.add_zero 0.001349 s: ordered_cancel_add_comm_monoid.nsmul 0.001312 s: ordered_cancel_add_comm_monoid.nsmul_zero' 0.001687 s: ordered_cancel_add_comm_monoid.nsmul_succ' 0.000974 s: ordered_cancel_add_comm_monoid.add_comm 0.000219 s: ordered_cancel_add_comm_monoid.to_add_cancel_comm_monoid 0.001213 s: ordered_add_comm_group.add 0.001275 s: ordered_add_comm_group.add_assoc 0.001214 s: ordered_add_comm_group.zero 0.001494 s: ordered_add_comm_group.zero_add 0.001264 s: ordered_add_comm_group.add_zero 0.001167 s: ordered_add_comm_group.nsmul 0.001658 s: ordered_add_comm_group.nsmul_zero' 0.001574 s: ordered_add_comm_group.nsmul_succ' 0.001144 s: ordered_add_comm_group.neg 0.001670 s: ordered_add_comm_group.sub 0.003376 s: ordered_add_comm_group.sub_eq_add_neg 0.006407 s: ordered_add_comm_group.add_left_neg 0.002689 s: ordered_add_comm_group.add_comm 0.000571 s: ordered_add_comm_group.to_add_comm_group 0.000139 s: ordered_add_comm_group.to_ordered_cancel_add_comm_monoid._proof_1 0.013512 s: ordered_add_comm_group.add_le_add_left 0.001983 s: ordered_add_comm_group.le_of_add_le_add_left 0.006949 s: ordered_add_comm_group.to_ordered_cancel_add_comm_monoid 0.003906 s: ordered_ring.le 0.002544 s: ordered_ring.lt 0.002994 s: ordered_ring.le_refl 0.003211 s: ordered_ring.le_trans 0.003395 s: ordered_ring.lt_iff_le_not_le 0.004513 s: ordered_ring.le_antisymm 0.022544 s: ordered_ring.add_le_add_left 0.000948 s: ordered_ring.to_ordered_add_comm_group 0.000155 s: ordered_ring.to_ordered_semiring._proof_3 0.006900 s: ordered_cancel_add_comm_monoid.le_of_add_le_add_left 0.000298 s: le_of_add_le_add_left 0.000183 s: ordered_ring.to_ordered_semiring._proof_4 0.042795 s: ordered_ring.zero_le_one 0.007790 s: sub_neg_monoid.sub_eq_add_neg 0.000179 s: sub_eq_add_neg 0.000326 s: sub_self 0.000479 s: add_comm_monoid.zero 0.000557 s: add_comm_monoid.zero_add 0.000566 s: add_comm_monoid.add_zero 0.000338 s: add_comm_monoid.nsmul 0.001128 s: add_comm_monoid.nsmul_zero' 0.001032 s: add_comm_monoid.nsmul_succ' 0.000316 s: add_comm_monoid.to_add_monoid 0.005464 s: ordered_add_comm_monoid 0.000987 s: ordered_add_comm_monoid.le 0.000900 s: ordered_add_comm_monoid.lt 0.001010 s: ordered_add_comm_monoid.le_refl 0.001079 s: ordered_add_comm_monoid.le_trans 0.001319 s: ordered_add_comm_monoid.lt_iff_le_not_le 0.001522 s: ordered_add_comm_monoid.le_antisymm 0.000166 s: ordered_add_comm_monoid.to_partial_order 0.000970 s: ordered_add_comm_monoid.add 0.001222 s: ordered_add_comm_monoid.add_assoc 0.000986 s: ordered_add_comm_monoid.zero 0.001027 s: ordered_add_comm_monoid.zero_add 0.000941 s: ordered_add_comm_monoid.add_zero 0.000796 s: ordered_add_comm_monoid.nsmul 0.001199 s: ordered_add_comm_monoid.nsmul_zero' 0.001245 s: ordered_add_comm_monoid.nsmul_succ' 0.000936 s: ordered_add_comm_monoid.add_comm 0.000177 s: ordered_add_comm_monoid.to_add_comm_monoid 0.003421 s: ordered_add_comm_monoid.lt_of_add_lt_add_left 0.000366 s: lt_of_add_lt_add_left 0.004346 s: ordered_cancel_add_comm_monoid.add_le_add_left 0.000669 s: preorder.lt_iff_le_not_le 0.000116 s: lt_iff_le_not_le 0.000100 s: lt_of_le_not_le 0.000083 s: le_not_le_of_lt 0.000101 s: le_of_lt 0.000041 s: has_lt.lt.le 0.000132 s: not_le_of_gt 0.006248 s: ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid._proof_1 0.003673 s: ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid 0.004567 s: ordered_add_comm_monoid.add_le_add_left 0.000425 s: add_le_add_left 0.004228 s: add_lt_add_left 0.004080 s: add_lt_add_iff_left 0.005509 s: neg_lt_neg_iff 0.005610 s: sub_lt_sub_iff_left 0.000581 s: sub_pos 0.002010 s: neg_mul_eq_mul_neg 0.001088 s: mul_sub_left_distrib 0.000095 s: mul_sub 0.103418 s: ordered_ring.mul_pos 0.021182 s: ordered_ring.mul_lt_mul_of_pos_left 0.004651 s: neg_mul_eq_neg_mul 0.001118 s: mul_sub_right_distrib 0.000081 s: sub_mul 0.020934 s: ordered_ring.mul_lt_mul_of_pos_right 0.028710 s: ordered_ring.to_ordered_semiring 0.000036 s: decidable.by_cases 0.000031 s: classical.by_cases 0.003129 s: div_zero 0.000786 s: mul_div_cancel 0.000884 s: mul_div_cancel_of_imp 0.001111 s: mul_div_cancel_left_of_imp 0.000169 s: mul_div_cancel_left 0.000207 s: lt_irrefl 0.000191 s: ne_of_lt 0.002831 s: ordered_semiring.add_left_cancel 0.002514 s: ordered_semiring.le 0.002204 s: ordered_semiring.lt 0.002678 s: ordered_semiring.le_refl 0.002448 s: ordered_semiring.le_trans 0.002790 s: ordered_semiring.lt_iff_le_not_le 0.003168 s: ordered_semiring.le_antisymm 0.007232 s: ordered_semiring.add_le_add_left 0.007438 s: ordered_semiring.le_of_add_le_add_left 0.000812 s: ordered_semiring.to_ordered_cancel_add_comm_monoid 0.000329 s: lt_of_lt_of_le 0.001027 s: le_add_of_nonneg_right 0.000191 s: add_pos_of_pos_of_nonneg 0.000222 s: add_pos 0.001118 s: partial_order.le_antisymm 0.000139 s: le_antisymm 0.000183 s: lt_of_le_of_ne 0.019878 s: ordered_semiring.zero_le_one 0.000413 s: zero_le_one 0.000195 s: zero_lt_one 0.006981 s: zero_lt_two 0.000168 s: two_ne_zero 0.003057 s: linear_ordered_ring.exists_pair_ne 0.000035 s: linear_ordered_ring.to_nontrivial 0.156414 s: add_halves 0.000315 s: lt_of_le_of_lt 0.008190 s: is_absolute_value.abv_add 0.001996 s: is_absolute_value.abv_sub_le 0.000383 s: lt_trans 0.001301 s: add_lt_add_right 0.000224 s: add_lt_add 0.000666 s: neg_sub 0.009594 s: domain 0.001591 s: domain.add 0.001686 s: domain.add_assoc 0.001335 s: domain.zero 0.001755 s: domain.zero_add 0.002089 s: domain.add_zero 0.001595 s: domain.nsmul 0.002230 s: domain.nsmul_zero' 0.001983 s: domain.nsmul_succ' 0.001987 s: domain.neg 0.001554 s: domain.sub 0.003553 s: domain.sub_eq_add_neg 0.007359 s: domain.add_left_neg 0.002762 s: domain.add_comm 0.001665 s: domain.mul 0.001826 s: domain.mul_assoc 0.001898 s: domain.one 0.001881 s: domain.one_mul 0.001725 s: domain.mul_one 0.001530 s: domain.npow 0.002500 s: domain.npow_zero' 0.002264 s: domain.npow_succ' 0.001747 s: domain.left_distrib 0.002112 s: domain.right_distrib 0.000825 s: domain.to_ring 0.011282 s: integral_domain 0.001596 s: integral_domain.add 0.001988 s: integral_domain.add_assoc 0.001850 s: integral_domain.zero 0.001939 s: integral_domain.zero_add 0.001921 s: integral_domain.add_zero 0.001644 s: integral_domain.nsmul 0.002671 s: integral_domain.nsmul_zero' 0.003663 s: integral_domain.nsmul_succ' 0.002462 s: integral_domain.neg 0.001725 s: integral_domain.sub 0.003367 s: integral_domain.sub_eq_add_neg 0.006944 s: integral_domain.add_left_neg 0.002359 s: integral_domain.add_comm 0.001599 s: integral_domain.mul 0.001783 s: integral_domain.mul_assoc 0.001644 s: integral_domain.one 0.001805 s: integral_domain.one_mul 0.001633 s: integral_domain.mul_one 0.001644 s: integral_domain.npow 0.002467 s: integral_domain.npow_zero' 0.002596 s: integral_domain.npow_succ' 0.001873 s: integral_domain.left_distrib 0.001675 s: integral_domain.right_distrib 0.001311 s: integral_domain.exists_pair_ne 0.029152 s: integral_domain.eq_zero_or_eq_zero_of_mul_eq_zero 0.001270 s: integral_domain.to_domain 0.000211 s: lt_or_eq_of_le 0.002375 s: lt_trichotomy 0.000405 s: lt_or_gt_of_ne 0.000043 s: has_lt.lt.ne 0.006455 s: neg_lt_neg 0.000220 s: lt_of_neg_lt_neg 0.036095 s: ordered_semiring.mul_lt_mul_of_pos_right 0.000945 s: mul_lt_mul_of_pos_right 0.000102 s: neg_zero 0.000285 s: neg_pos_of_neg 0.036914 s: mul_lt_mul_of_neg_right 0.004065 s: mul_pos_of_neg_of_neg 0.001673 s: mul_neg_of_neg_of_pos 0.036940 s: ordered_semiring.mul_lt_mul_of_pos_left 0.000855 s: mul_lt_mul_of_pos_left 0.004082 s: mul_neg_of_pos_of_neg 0.001537 s: mul_pos 0.043745 s: linear_ordered_ring.to_domain._proof_1 0.001499 s: linear_ordered_ring.to_domain 0.000116 s: linear_ordered_comm_ring.to_integral_domain._proof_1 0.000058 s: linear_ordered_comm_ring.to_integral_domain._proof_2 0.000049 s: linear_ordered_comm_ring.to_integral_domain._proof_3 0.004882 s: linear_ordered_comm_ring.to_integral_domain._proof_4 0.001423 s: linear_ordered_comm_ring.to_integral_domain._proof_5 0.001207 s: linear_ordered_comm_ring.to_integral_domain._proof_6 0.000831 s: linear_ordered_comm_ring.to_integral_domain._proof_7 0.000176 s: linear_ordered_comm_ring.to_integral_domain._proof_8 0.000193 s: linear_ordered_comm_ring.to_integral_domain._proof_9 0.000221 s: linear_ordered_comm_ring.to_integral_domain._proof_10 0.000122 s: linear_ordered_comm_ring.to_integral_domain._proof_11 0.000296 s: linear_ordered_comm_ring.to_integral_domain._proof_12 0.000274 s: linear_ordered_comm_ring.to_integral_domain._proof_13 0.000186 s: linear_ordered_comm_ring.to_integral_domain._proof_14 0.000159 s: linear_ordered_comm_ring.to_integral_domain._proof_15 0.004935 s: linear_ordered_comm_ring.mul_comm 0.002216 s: domain.exists_pair_ne 0.000054 s: linear_ordered_comm_ring.to_integral_domain._proof_16 0.028684 s: domain.eq_zero_or_eq_zero_of_mul_eq_zero 0.003587 s: linear_ordered_comm_ring.to_integral_domain._proof_17 0.006389 s: linear_ordered_comm_ring.to_integral_domain 0.000974 s: neg_add_cancel_right 0.000311 s: sub_add_cancel 0.000340 s: eq_of_sub_eq_zero 0.000297 s: sub_eq_zero 0.002207 s: integral_domain.mul_comm 0.000734 s: integral_domain.to_comm_ring 0.001297 s: comm_ring.mul_comm 0.000230 s: comm_ring.to_comm_monoid 0.000476 s: add_sub_assoc 0.000218 s: sub_add_sub_cancel 0.001728 s: mul_self_sub_mul_self 0.000416 s: domain.to_no_zero_divisors 0.000041 s: or.comm 0.000021 s: or_comm 0.000372 s: eq_neg_of_add_eq_zero 0.000307 s: add_eq_zero_iff_eq_neg 0.025941 s: mul_self_eq_mul_self_iff 0.000060 s: or_iff_left_of_imp 0.007894 s: add_le_add_iff_left 0.006214 s: neg_le_neg_iff 0.000830 s: neg_nonneg 0.012959 s: linear_ordered_add_comm_group 0.002025 s: linear_ordered_add_comm_group.add 0.001763 s: linear_ordered_add_comm_group.add_assoc 0.002343 s: linear_ordered_add_comm_group.zero 0.002301 s: linear_ordered_add_comm_group.zero_add 0.002592 s: linear_ordered_add_comm_group.add_zero 0.002010 s: linear_ordered_add_comm_group.nsmul 0.002288 s: linear_ordered_add_comm_group.nsmul_zero' 0.002315 s: linear_ordered_add_comm_group.nsmul_succ' 0.001816 s: linear_ordered_add_comm_group.neg 0.002119 s: linear_ordered_add_comm_group.sub 0.003910 s: linear_ordered_add_comm_group.sub_eq_add_neg 0.006517 s: linear_ordered_add_comm_group.add_left_neg 0.002933 s: linear_ordered_add_comm_group.add_comm 0.000524 s: linear_ordered_add_comm_group.to_add_comm_group 0.004125 s: linear_ordered_ring.to_linear_ordered_add_comm_group 0.220641 s: mul_self_inj_of_nonneg 0.013586 s: is_absolute_value.abv_nonneg 0.000912 s: is_absolute_value.abv_mul 0.000235 s: mul_neg_eq_neg_mul_symm 0.000096 s: neg_mul_eq_neg_mul_symm 0.014159 s: is_absolute_value.abv_neg 0.000542 s: is_absolute_value.abv_sub 0.000242 s: division_def 0.027789 s: linear_ordered_semiring 0.004090 s: linear_ordered_semiring.add 0.002740 s: linear_ordered_semiring.add_assoc 0.002638 s: linear_ordered_semiring.zero 0.002886 s: linear_ordered_semiring.zero_add 0.002684 s: linear_ordered_semiring.add_zero 0.002829 s: linear_ordered_semiring.nsmul 0.003550 s: linear_ordered_semiring.nsmul_zero' 0.003737 s: linear_ordered_semiring.nsmul_succ' 0.003888 s: linear_ordered_semiring.add_comm 0.002652 s: linear_ordered_semiring.mul 0.002926 s: linear_ordered_semiring.mul_assoc 0.002540 s: linear_ordered_semiring.one 0.003755 s: linear_ordered_semiring.one_mul 0.002740 s: linear_ordered_semiring.mul_one 0.002773 s: linear_ordered_semiring.npow 0.004688 s: linear_ordered_semiring.npow_zero' 0.004418 s: linear_ordered_semiring.npow_succ' 0.003060 s: linear_ordered_semiring.zero_mul 0.002608 s: linear_ordered_semiring.mul_zero 0.002934 s: linear_ordered_semiring.left_distrib 0.002894 s: linear_ordered_semiring.right_distrib 0.003137 s: linear_ordered_semiring.add_left_cancel 0.002790 s: linear_ordered_semiring.le 0.002429 s: linear_ordered_semiring.lt 0.002822 s: linear_ordered_semiring.le_refl 0.003305 s: linear_ordered_semiring.le_trans 0.003168 s: linear_ordered_semiring.lt_iff_le_not_le 0.003099 s: linear_ordered_semiring.le_antisymm 0.007385 s: linear_ordered_semiring.add_le_add_left 0.009781 s: linear_ordered_semiring.le_of_add_le_add_left 0.020883 s: linear_ordered_semiring.zero_le_one 0.037798 s: linear_ordered_semiring.mul_lt_mul_of_pos_left 0.036500 s: linear_ordered_semiring.mul_lt_mul_of_pos_right 0.005331 s: linear_ordered_semiring.to_ordered_semiring 0.005491 s: linear_ordered_semiring.le_total 0.004424 s: linear_ordered_semiring.decidable_le 0.003413 s: linear_ordered_semiring.decidable_eq 0.004811 s: linear_ordered_semiring.decidable_lt 0.000352 s: linear_ordered_semiring.to_linear_order 0.000493 s: le_of_not_gt 0.000230 s: not_lt_of_ge 0.000188 s: not_lt 0.000101 s: push_neg.not_lt_eq 0.000047 s: has_le.le.antisymm 0.000036 s: has_le.le.lt_of_not_le 0.001779 s: mul_le_mul_of_nonneg_left 0.000971 s: mul_nonpos_of_nonneg_of_nonpos 0.000048 s: has_lt.lt.false 0.001433 s: mul_le_mul_of_nonneg_right 0.000846 s: mul_nonpos_of_nonpos_of_nonneg 0.003726 s: pos_and_pos_or_neg_and_neg_of_mul_pos 0.000091 s: linear_ordered_ring.to_linear_ordered_semiring._proof_1 0.000105 s: linear_ordered_ring.to_linear_ordered_semiring._proof_2 0.000111 s: linear_ordered_ring.to_linear_ordered_semiring._proof_3 0.000163 s: linear_ordered_ring.to_linear_ordered_semiring._proof_4 0.000123 s: linear_ordered_ring.to_linear_ordered_semiring._proof_5 0.000125 s: linear_ordered_ring.to_linear_ordered_semiring._proof_6 0.052101 s: linear_ordered_ring.to_linear_ordered_semiring 0.000113 s: and_imp 0.042910 s: mul_pos_iff 0.000033 s: flip 0.127626 s: linear_ordered_comm_ring.to_linear_ordered_semiring 0.000158 s: lt_of_not_ge 0.000082 s: not_le_of_lt 0.000066 s: has_lt.lt.not_le 0.000123 s: not_lt_of_le 0.000053 s: has_le.le.not_lt 0.016512 s: lt_of_mul_lt_mul_left 0.000106 s: ne_of_gt 0.292822 s: inv_pos 0.000106 s: iff.symm 0.000329 s: lt_iff_not_ge 0.000153 s: not_le 0.000205 s: le_of_lt_or_eq 0.000110 s: le_iff_lt_or_eq 0.000092 s: le_iff_eq_or_lt 0.000275 s: zero_eq_inv 0.047400 s: inv_nonneg 0.017220 s: inv_lt_zero 0.003141 s: div_pos_iff 0.000694 s: div_pos 0.046285 s: half_pos 0.032755 s: is_cau_seq.cauchy₂ 0.003148 s: is_cau_seq.cauchy₃ 0.000805 s: cau_seq.cauchy₃ 0.002131 s: cau_seq.has_add._match_3 0.000319 s: add_comm_group.to_add_comm_monoid 0.000574 s: add_neg_cancel_left 0.000616 s: neg_add_rev 0.000068 s: commutative 0.000023 s: associative 0.000057 s: left_commutative 0.000196 s: left_comm 0.000131 s: add_left_comm 0.036432 s: rat_add_continuous_lemma 0.003073 s: cau_seq.has_add._proof_1 0.000989 s: option 0.000021 s: with_top 0.000372 s: cau_seq.lim_zero 0.001702 s: cau_seq.cauchy 0.001290 s: cau_seq.of_eq._proof_1 0.000490 s: cau_seq.of_eq 0.000491 s: cau_seq.has_add 0.001655 s: cau_seq.has_mul._match_1 0.002213 s: cau_seq.has_mul._match_2 0.004713 s: cau_seq.has_mul._match_3 0.001834 s: list.perm 0.000464 s: list.perm.refl 0.000233 s: list.perm.rec_on 0.000248 s: list.perm.symm 0.000200 s: list.perm.eqv 0.000036 s: list.is_setoid 0.000025 s: multiset 0.000008 s: out_param 0.000179 s: has_mem 0.000055 s: has_mem.mem 0.000295 s: list.mem._main 0.000018 s: list.mem 0.000042 s: list.has_mem 0.001025 s: list.pairwise 0.000036 s: list.nodup 0.000979 s: list.pairwise.drec 0.001556 s: list.length._main 0.000038 s: list.length 0.001501 s: list.eq_nil_of_length_eq_zero 0.000031 s: id_delta 0.000793 s: list.length._main.equations._eqn_2 0.000086 s: list.length.equations._eqn_2 0.000651 s: add_right_cancel_semigroup 0.000144 s: add_right_cancel_semigroup.add 0.000251 s: add_right_cancel_semigroup.add_assoc 0.000045 s: add_right_cancel_semigroup.to_add_semigroup 0.000824 s: add_right_cancel_monoid.add_right_cancel 0.000087 s: add_right_cancel_monoid.to_add_right_cancel_semigroup 0.006498 s: comm_semiring 0.001283 s: comm_semiring.add 0.000268 s: nat.add_succ 0.001080 s: nat.add_assoc 0.000534 s: nat.zero_add 0.000099 s: nat.add_zero 0.000228 s: nat.mul._main 0.000008 s: nat.mul 0.000012 s: nat.has_mul 0.000381 s: nat.mul_succ 0.000536 s: nat.zero_mul 0.000116 s: nat.succ_eq_add_one 0.001416 s: nat.add_comm 0.000103 s: nat.succ_eq_one_add 0.000971 s: nat.add_left_comm 0.001452 s: nat.right_distrib 0.000103 s: nat.mul_zero 0.000068 s: nat.succ.inj 0.000061 s: nat.succ.inj_eq 0.001102 s: nat.succ_mul 0.000668 s: nat.mul_comm 0.000220 s: nat.mul_one 0.000103 s: nat.one_mul 0.000392 s: nat.comm_semiring._proof_1 0.000953 s: nat.left_distrib 0.001383 s: nat.mul_assoc 0.000181 s: monoid_with_zero.npow._default 0.000258 s: semiring.npow._default 0.000153 s: nat.comm_semiring._proof_2 0.000079 s: nat.comm_semiring._proof_3 0.001855 s: nat.comm_semiring 0.001285 s: comm_semiring.add_assoc 0.001038 s: comm_semiring.zero 0.001332 s: comm_semiring.zero_add 0.001024 s: comm_semiring.add_zero 0.000774 s: comm_semiring.nsmul 0.001149 s: comm_semiring.nsmul_zero' 0.001309 s: comm_semiring.nsmul_succ' 0.000985 s: comm_semiring.add_comm 0.000908 s: comm_semiring.mul 0.001025 s: comm_semiring.mul_assoc 0.001136 s: comm_semiring.one 0.001405 s: comm_semiring.one_mul 0.000779 s: comm_semiring.mul_one 0.000916 s: comm_semiring.npow 0.001277 s: comm_semiring.npow_zero' 0.001176 s: comm_semiring.npow_succ' 0.001153 s: comm_semiring.zero_mul 0.001144 s: comm_semiring.mul_zero 0.001035 s: comm_semiring.left_distrib 0.001012 s: comm_semiring.right_distrib 0.000078 s: imp_congr_ctx 0.000109 s: imp_congr_ctx_eq 0.000026 s: implies_true_iff 0.000517 s: nat.add_left_cancel 0.000942 s: nat.le_add_right 0.000095 s: nat.le.intro 0.000813 s: nat.le.dest 0.000203 s: nat.add_le_add_left 0.000149 s: nat.le_of_add_le_add_left 0.002073 s: nat.linear_ordered_semiring._proof_1 0.000154 s: nat.lt_of_lt_of_le 0.000044 s: nat.lt_of_succ_le 0.000037 s: nat.succ_le_of_lt 0.000075 s: nat.add_lt_add_left 0.000102 s: nat.lt_add_of_pos_right 0.000282 s: nat.mul_le_mul_left 0.000102 s: nat.mul_lt_mul_of_pos_left 0.000111 s: nat.mul_lt_mul_of_pos_right 0.001858 s: linear_order.decidable_lt 0.000146 s: has_bot 0.000070 s: has_bot.bot 0.002692 s: order_bot 0.000468 s: order_bot.le 0.000434 s: order_bot.lt 0.000533 s: order_bot.le_refl 0.000543 s: order_bot.le_trans 0.000536 s: order_bot.lt_iff_le_not_le 0.000805 s: order_bot.le_antisymm 0.000151 s: order_bot.to_partial_order 0.004387 s: semilattice_sup_bot 0.000633 s: semilattice_sup_bot.bot 0.000501 s: semilattice_sup_bot.le 0.000422 s: semilattice_sup_bot.lt 0.000623 s: semilattice_sup_bot.le_refl 0.000634 s: semilattice_sup_bot.le_trans 0.000725 s: semilattice_sup_bot.lt_iff_le_not_le 0.001016 s: semilattice_sup_bot.le_antisymm 0.001302 s: semilattice_sup_bot.bot_le 0.000190 s: semilattice_sup_bot.to_order_bot 0.000515 s: semilattice_inf.inf 0.000024 s: semilattice_inf.to_has_inf 0.003671 s: semilattice_sup 0.000522 s: semilattice_sup.sup 0.000024 s: semilattice_sup.to_has_sup 0.000679 s: lattice.sup 0.001735 s: lattice.le_sup_left 0.001787 s: lattice.le_sup_right 0.002160 s: lattice.sup_le 0.000439 s: lattice.to_semilattice_sup 0.009061 s: distrib_lattice 0.001422 s: distrib_lattice.le 0.000085 s: distrib_lattice_of_linear_order._proof_1 0.000078 s: distrib_lattice_of_linear_order._proof_2 0.000158 s: distrib_lattice_of_linear_order._proof_3 0.000178 s: distrib_lattice_of_linear_order._proof_4 0.000237 s: distrib_lattice_of_linear_order._proof_5 0.000218 s: distrib_lattice_of_linear_order._proof_6 0.000251 s: distrib_lattice_of_linear_order._proof_7 0.000245 s: distrib_lattice_of_linear_order._proof_8 0.000248 s: distrib_lattice_of_linear_order._proof_9 0.000328 s: distrib_lattice_of_linear_order._proof_10 0.001785 s: semilattice_inf.inf_le_left 0.000175 s: inf_le_left 0.000195 s: inf_le_left_of_le 0.000683 s: semilattice_sup.le 0.000529 s: semilattice_sup.lt 0.000787 s: semilattice_sup.le_refl 0.000643 s: semilattice_sup.le_trans 0.000953 s: semilattice_sup.lt_iff_le_not_le 0.001297 s: semilattice_sup.le_antisymm 0.000182 s: semilattice_sup.to_partial_order 0.001867 s: semilattice_sup.sup_le 0.000270 s: sup_le 0.001448 s: semilattice_sup.le_sup_left 0.000123 s: le_sup_left 0.000099 s: le_sup_left_of_le 0.001234 s: semilattice_sup.le_sup_right 0.000135 s: le_sup_right 0.000122 s: le_sup_right_of_le 0.000164 s: sup_le_sup 0.000104 s: sup_le_sup_left 0.001925 s: semilattice_inf.le_inf 0.000262 s: le_inf 0.001366 s: semilattice_inf.inf_le_right 0.000116 s: inf_le_right 0.000100 s: inf_le_right_of_le 0.005784 s: distrib_lattice_of_linear_order._match_1 0.001274 s: distrib_lattice_of_linear_order._proof_11 0.002417 s: distrib_lattice_of_linear_order 0.000021 s: nat.distrib_lattice 0.001095 s: distrib_lattice.lt 0.001213 s: distrib_lattice.le_refl 0.001593 s: distrib_lattice.le_trans 0.001413 s: distrib_lattice.lt_iff_le_not_le 0.001630 s: distrib_lattice.le_antisymm 0.001123 s: distrib_lattice.sup 0.001975 s: distrib_lattice.le_sup_left 0.001743 s: distrib_lattice.le_sup_right 0.002281 s: distrib_lattice.sup_le 0.001231 s: nat.semilattice_sup_bot 0.000090 s: nat.zero_lt_one 0.000833 s: nat.linear_ordered_semiring._proof_2 0.005075 s: nat.linear_ordered_semiring 0.000020 s: nat.ordered_semiring 0.000490 s: add_right_cancel_semigroup.add_right_cancel 0.000158 s: add_right_cancel 0.000099 s: add_left_injective 0.000146 s: add_left_inj 0.002661 s: list.perm.length_eq 0.000327 s: list.perm.eq_nil 0.000197 s: list.perm.nil_eq 0.000027 s: false.dcases_on 0.002423 s: list.mem_split 0.000199 s: has_subset 0.000074 s: has_subset.subset 0.000038 s: list.subset 0.000038 s: list.has_subset 0.000718 s: list.mem_cons_iff 0.000067 s: true_or 0.002610 s: list.perm.subset 0.000503 s: list.mem_cons_self 0.000184 s: list.nil_append 0.000519 s: list.cons_append 0.000069 s: list.no_confusion_type 0.000249 s: list.no_confusion 0.000146 s: list.cons.inj 0.000221 s: list.cons.inj_eq 0.000031 s: and_self 0.000990 s: list.append_assoc 0.000114 s: forall_congr 0.000115 s: forall_congr_eq 0.000022 s: not.elim 0.000034 s: forall_prop_of_false 0.000191 s: list.not_mem_nil 0.000018 s: forall_true_iff 0.000032 s: and_iff_left 0.000016 s: and_true 0.000028 s: and_iff_right 0.000020 s: true_and 0.000285 s: list.pairwise.dcases_on 0.001233 s: list.pairwise_cons 0.000078 s: false_or 0.000035 s: or.imp_right 0.000086 s: or.assoc 0.000024 s: or_assoc 0.000802 s: list.mem_append 0.000104 s: or_imp_distrib 0.000198 s: forall_and_distrib 0.000667 s: list.forall_mem_append 0.000202 s: and.assoc 0.000057 s: and.imp 0.000114 s: and_congr 0.000048 s: and.swap 0.000042 s: and.comm 0.000099 s: and.left_comm 0.000023 s: and_assoc 0.000397 s: list.mem_cons_of_mem 0.000460 s: list.ball_cons 0.000057 s: list.forall_mem_cons 0.001396 s: list.pairwise_append 0.000510 s: list.pairwise_append_comm 0.001393 s: list.pairwise_middle 0.000071 s: list.rec_on 0.000343 s: list.perm_induction_on 0.000060 s: and.elim_left 0.000017 s: and.elim_right 0.000095 s: list.cons.inj_arrow 0.001177 s: list.perm_middle 0.000106 s: list.perm.swap' 0.021135 s: list.perm_inv_core 0.000801 s: list.perm.cons_inv 0.002992 s: list.perm.pairwise_iff 0.000118 s: list.perm.nodup_iff 0.000129 s: multiset.nodup._proof_1 0.000099 s: multiset.nodup 0.000422 s: finset 0.000184 s: list.perm.mem_iff 0.000189 s: multiset.mem._proof_1 0.000121 s: multiset.mem 0.000066 s: multiset.has_mem 0.000071 s: finset.val 0.000074 s: finset.has_mem 0.000526 s: fintype 0.000107 s: infinite 0.000081 s: has_emptyc 0.000029 s: has_emptyc.emptyc 0.000071 s: multiset.has_coe 0.000056 s: multiset.zero 0.000046 s: multiset.has_zero 0.000310 s: multiset.nodup_zero 0.000033 s: finset.empty 0.000020 s: finset.has_emptyc 0.000136 s: has_singleton 0.000048 s: has_singleton.singleton 0.000126 s: multiset.cons._proof_1 0.000239 s: multiset.cons 0.000048 s: multiset.has_singleton 0.000084 s: congr_fun 0.000052 s: list.nodup.equations._eqn_1 0.000134 s: list.forall_mem_ne 0.000441 s: list.nodup_cons 0.000083 s: list.nodup_cons_of_nodup 0.000031 s: list.nodup_nil 0.000049 s: list.nodup_singleton 0.000156 s: multiset.nodup_singleton 0.000252 s: finset.has_singleton 0.000096 s: quot.induction_on 0.000619 s: multiset.mem_cons 0.000220 s: multiset.not_mem_zero 0.000277 s: multiset.mem_singleton 0.000417 s: finset.mem_singleton 0.000266 s: infinite.nontrivial._match_1 0.000025 s: function.comp 0.000039 s: decidable.not_imp_symm 0.000021 s: not.decidable_imp_symm 0.000078 s: not_forall_of_exists_not 0.000131 s: decidable.not_forall 0.000082 s: not_forall 0.000028 s: infinite.not_fintype 0.000112 s: infinite.exists_not_mem_finset 0.000178 s: infinite.nontrivial._match_2 0.000061 s: infinite.nontrivial 0.000264 s: nat.cast._main 0.000032 s: nat.cast 0.000041 s: nat.cast_coe 0.000316 s: char_zero 0.000011 s: classical.dec 0.000090 s: inhabited 0.000023 s: classical.inhabited_of_nonempty 0.000028 s: function.surjective 0.000015 s: decidable_pred 0.000529 s: list.not_bex_nil 0.000340 s: list.eq_or_mem_of_mem_cons 0.000708 s: list.decidable_bex._match_1 0.001011 s: list.decidable_bex._main 0.000071 s: list.decidable_bex 0.000044 s: not.decidable 0.000303 s: list.decidable_ball._match_1 0.000143 s: list.decidable_ball._proof_1 0.000325 s: list.decidable_ball 0.000414 s: list.pw_filter._main 0.000064 s: list.pw_filter 0.000010 s: implies.decidable._proof_1 0.000021 s: implies.decidable._proof_2 0.000015 s: implies.decidable._proof_3 0.000065 s: implies.decidable 0.000110 s: ne.decidable 0.000063 s: list.erase_dup 0.000233 s: list.countp._main 0.000029 s: list.countp 0.000039 s: list.count 0.000243 s: list.filter._main 0.000043 s: list.filter 0.000401 s: list.countp._main.equations._eqn_2 0.000097 s: list.countp.equations._eqn_2 0.000456 s: list.filter_cons_of_pos 0.000450 s: list.countp_cons_of_neg 0.000552 s: list.filter_cons_of_neg 0.002059 s: list.countp_eq_length_filter 0.000073 s: option.cases_on 0.000056 s: list.filter_map._match_1 0.000212 s: list.filter_map._main 0.000033 s: list.filter_map 0.000044 s: option.guard 0.000516 s: list.filter_map._main.equations._eqn_2 0.000128 s: list.filter_map.equations._eqn_2 0.000080 s: option.guard.equations._eqn_1 0.000113 s: list.filter_map._match_1.equations._eqn_2 0.000142 s: list.filter_map._match_1.equations._eqn_1 0.001778 s: list.filter_map_eq_filter 0.000732 s: list.perm.drec 0.000322 s: list.filter_map_nil 0.002076 s: list.perm.filter_map 0.000336 s: list.perm.filter 0.000280 s: list.perm.countp_eq 0.000346 s: list.perm.count_eq 0.000288 s: list.count_nil 0.000507 s: list.count_cons_self 0.000287 s: list.erase._main 0.000025 s: list.erase 0.000217 s: list.erase_nil 0.000070 s: nat.pred_zero 0.000487 s: list.erase_cons 0.000438 s: list.count_cons 0.000968 s: list.count_cons' 0.000044 s: nat.pred_succ 0.000051 s: nat.add_monoid 0.004668 s: list.count_erase_self 0.000276 s: list.erasep._main 0.000054 s: list.erasep 0.000289 s: list.forall_mem_nil 0.000481 s: list.erasep_cons 0.000105 s: if_true 0.000898 s: list.erasep_cons_of_pos 0.000081 s: if_false 0.000770 s: list.erasep_cons_of_neg 0.000119 s: not_congr 0.003518 s: list.exists_of_erasep 0.000434 s: list.erase_cons_head 0.000444 s: list.erase_cons_tail 0.001733 s: list.erase_eq_erasep 0.001499 s: list.exists_erase_eq 0.001083 s: list.perm_cons_erase 0.000099 s: list.count.equations._eqn_1 0.000579 s: list.exists_mem_of_length_pos 0.000761 s: list.length_pos_of_mem 0.000166 s: list.length_pos_iff_exists_mem 0.000781 s: list.sublist 0.000346 s: list.sublist.dcases_on 0.001236 s: list.sublist.subset 0.000730 s: list.filter_sublist 0.000135 s: list.filter_subset 0.000130 s: list.mem_of_mem_filter 0.001062 s: list.of_mem_filter 0.000087 s: eq.dcases_on 0.001326 s: list.mem_filter_of_mem 0.000269 s: list.mem_filter 0.000114 s: exists_prop 0.000648 s: list.countp_pos 0.000116 s: exists_congr 0.000166 s: exists_eq_left 0.000168 s: exists_eq_right 0.000493 s: exists_eq_right' 0.001209 s: list.count_pos 0.000033 s: nat.succ_pos 0.000026 s: nat.succ_pos' 0.003562 s: list.count_erase_of_ne 0.000570 s: list.count_cons_of_ne 0.001999 s: list.perm_iff_count 0.000089 s: not_or 0.000704 s: list.decidable_mem._match_1 0.000963 s: list.decidable_mem._main 0.000057 s: list.decidable_mem 0.000060 s: function.swap 0.000053 s: imp.swap 0.000033 s: imp_not_comm 0.000104 s: list.not_mem_of_nodup_cons 0.000088 s: list.not_nodup_cons_of_mem 0.000079 s: list.mem_singleton_self 0.000060 s: list.not_nodup_pair 0.000040 s: ball.imp_left 0.002221 s: list.pairwise_of_sublist 0.000079 s: list.nodup_of_sublist 0.000069 s: list.cons_sublist_cons 0.000142 s: list.sublist.rec_on 0.000245 s: list.sublist.cases_on 0.000265 s: list.nil_sublist 0.001257 s: list.sublist.trans 0.000248 s: list.sublist.refl 0.000777 s: list.sublist_append_right 0.000532 s: list.singleton_sublist 0.000037 s: list.sublist_cons_of_sublist 0.000378 s: list.nodup_iff_sublist 0.000223 s: list.repeat._main 0.000032 s: list.repeat 0.000031 s: nat.nat_zero_eq_zero 0.000146 s: list.repeat._main.equations._eqn_1 0.000051 s: list.repeat.equations._eqn_1 0.000140 s: list.length._main.equations._eqn_1 0.000049 s: list.length.equations._eqn_1 0.000283 s: list.repeat._main.equations._eqn_2 0.000089 s: list.repeat.equations._eqn_2 0.000887 s: list.length_repeat 0.002101 s: list.length_le_of_sublist 0.000130 s: nat.less_than_or_equal.drec 0.000466 s: list.repeat_succ 0.001012 s: list.repeat_sublist_repeat 0.000023 s: not_not_intro 0.000033 s: not_true 0.000025 s: false_and 0.000088 s: nat.succ_ne_zero 0.000045 s: or_iff_left_iff_imp 0.000018 s: imp_self 0.002297 s: list.mem_repeat 0.000136 s: list.eq_of_mem_repeat 0.001844 s: list.eq_repeat_of_mem 0.000455 s: list.eq_repeat 0.000025 s: iff_of_true 0.000119 s: list.tail_eq_of_cons_eq 0.000124 s: list.cons_injective 0.000073 s: list.cons_inj 0.000029 s: iff_of_false 0.003942 s: list.filter_eq_self 0.000607 s: list.count_repeat 0.000627 s: list.sublist.drec 0.000198 s: list.filter_map._main.equations._eqn_1 0.000067 s: list.filter_map.equations._eqn_1 0.001401 s: list.sublist.filter_map 0.000243 s: list.filter_sublist_filter 0.000345 s: list.countp_le_of_sublist 0.000145 s: list.count_le_of_sublist 0.000877 s: list.le_count_iff_repeat_sublist 0.001126 s: list.nodup_iff_count_le_one 0.001830 s: list.count_eq_one_of_mem 0.001359 s: list.pw_filter_cons_of_pos 0.001095 s: list.pw_filter_cons_of_neg 0.000794 s: list.pairwise_pw_filter 0.000166 s: list.nodup_erase_dup 0.000095 s: list.erase_dup.equations._eqn_1 0.000035 s: decidable.not_not 0.000016 s: not_not 0.000226 s: list.find._main 0.000036 s: list.find 0.000084 s: ball.imp_right 0.000349 s: list.find_cons_of_pos 0.000025 s: eq_false_intro 0.000062 s: option.no_confusion_type 0.000180 s: option.no_confusion 0.000312 s: list.find_cons_of_neg 0.001105 s: list.find_eq_none 0.000897 s: list.find_mem 0.000721 s: list.find_some 0.000717 s: list.pw_filter_sublist 0.000118 s: list.pw_filter_subset 0.001863 s: list.forall_mem_pw_filter 0.000126 s: not_and_of_not_or_not 0.000110 s: decidable.not_and_distrib 0.000039 s: not_and_distrib 0.000831 s: list.mem_erase_dup 0.000083 s: nat.eq_zero_or_pos 0.000041 s: nat.pos_of_ne_zero 0.000172 s: list.count_eq_zero_of_not_mem 0.001009 s: list.perm.erase_dup 0.000196 s: multiset.erase_dup._proof_1 0.000256 s: multiset.erase_dup 0.000286 s: multiset.nodup_erase_dup 0.000104 s: multiset.to_finset._proof_1 0.000065 s: multiset.to_finset 0.000231 s: list.map._main 0.000060 s: list.map 0.000504 s: list.filter_map_cons_some 0.000475 s: list.map_cons 0.000847 s: list.filter_map_eq_map 0.000189 s: list.perm.map 0.000172 s: multiset.map._proof_1 0.000305 s: multiset.map 0.000073 s: finset.image 0.000064 s: fintype.elems 0.000019 s: finset.univ 0.000141 s: finset.mem_def 0.000344 s: finset.image_val 0.001130 s: multiset.mem_erase_dup 0.001113 s: list.exists_of_mem_map 0.002404 s: list.mem_map_of_mem 0.000905 s: list.mem_map 0.002045 s: multiset.mem_map 0.001201 s: finset.mem_image 0.000382 s: finset.mem_image_of_mem 0.000125 s: fintype.complete 0.000058 s: finset.mem_univ 0.000313 s: fintype.of_surjective._match_1 0.000195 s: fintype.of_surjective._proof_1 0.000142 s: fintype.of_surjective 0.000010 s: set 0.000093 s: set.mem 0.000063 s: set.has_mem 0.000092 s: function.inv_fun_on 0.000015 s: set.univ 0.000048 s: function.inv_fun 0.000067 s: function.right_inverse 0.000096 s: function.right_inverse.surjective 0.000044 s: function.left_inverse.right_inverse 0.000095 s: function.left_inverse.surjective 0.000168 s: function.inv_fun_on.equations._eqn_1 0.000402 s: bex_def 0.000666 s: function.inv_fun_on_pos 0.000188 s: function.inv_fun_on_eq 0.000351 s: function.inv_fun_eq 0.000186 s: function.left_inverse_inv_fun 0.000074 s: function.inv_fun_surjective 0.000066 s: fintype.of_injective._proof_1 0.000159 s: fintype.of_injective 0.000071 s: infinite.of_injective 0.000109 s: fintype.cases_on 0.000131 s: list.range_core._main 0.000009 s: list.range_core 0.000013 s: list.range 0.000053 s: multiset.range 0.000185 s: list.range'._main 0.000009 s: list.range' 0.000029 s: right_commutative 0.000165 s: right_comm 0.000130 s: add_right_comm 0.000036 s: nat.add_comm_monoid 0.000014 s: nat.add_comm_semigroup 0.004731 s: list.range_core_range' 0.002575 s: list.range_eq_range' 0.000740 s: list.pairwise.imp_of_mem 0.000094 s: list.pairwise.imp 0.000624 s: list.chain 0.000570 s: list.chain.drec 0.000363 s: list.pairwise_singleton 0.000107 s: forall_eq 0.000517 s: forall_eq_or_imp 0.000132 s: list.rel_of_pairwise_cons 0.000289 s: list.chain.dcases_on 0.000943 s: list.chain_cons 0.000370 s: list.chain_of_pairwise 0.000603 s: list.chain_iff_pairwise 0.000212 s: list.chain.imp' 0.000081 s: list.chain.imp 0.000750 s: list.chain_succ_range' 0.000113 s: list.chain_lt_range' 0.000861 s: list.pairwise_lt_range' 0.000376 s: list.nodup_range' 0.000090 s: list.nodup_range 0.000210 s: multiset.nodup_range 0.000026 s: finset.range 0.000030 s: iff.comm 0.000033 s: iff_false 0.000029 s: false_iff 0.000009 s: imp_intro 0.000122 s: or_and_distrib_left 0.000038 s: or_iff_right_of_imp 0.000053 s: nat.lt_succ_of_le 0.005271 s: list.mem_range' 0.002829 s: list.mem_range 0.000539 s: list.not_mem_range_self 0.000456 s: multiset.not_mem_range_self 0.000420 s: finset.not_mem_range_self 0.000282 s: is_commutative 0.000289 s: is_associative 0.000240 s: list.foldr._main 0.000031 s: list.foldr 0.000434 s: list.foldr_cons 0.000979 s: list.perm.foldr_eq 0.000175 s: multiset.foldr._proof_1 0.000193 s: multiset.foldr 0.000073 s: is_commutative.comm 0.000060 s: is_associative.assoc 0.000092 s: multiset.fold._proof_1 0.000053 s: multiset.fold 0.000094 s: finset.fold 0.000979 s: semilattice_sup_bot.sup 0.001852 s: semilattice_sup_bot.le_sup_left 0.001510 s: semilattice_sup_bot.le_sup_right 0.001842 s: semilattice_sup_bot.sup_le 0.000374 s: semilattice_sup_bot.to_semilattice_sup 0.000324 s: sup_le_iff 0.000394 s: sup_comm 0.000061 s: sup_is_commutative 0.000107 s: finset.sup._proof_1 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0.001100 s: div_mul_cancel 0.000462 s: mul_lt_mul' 0.101857 s: rat_mul_continuous_lemma 0.006464 s: cau_seq.has_mul._match_4 0.001428 s: add_le_add_right 0.005583 s: add_lt_add_of_le_of_lt 0.000692 s: lt_add_of_le_of_pos 0.003785 s: lt_add_one 0.001025 s: multiset.sum._proof_1 0.000098 s: multiset.sum 0.000114 s: finset.sum 0.000326 s: lt_or_ge 0.000077 s: lt_or_le 0.001186 s: finset.fold_singleton 0.000083 s: add_comm_semigroup.to_is_commutative 0.000066 s: add_semigroup.to_is_associative 0.000835 s: finset.sum_singleton 0.000123 s: has_union 0.000048 s: has_union.union 0.000273 s: quotient.lift 0.000069 s: setoid.iseqv 0.000189 s: setoid.refl 0.000124 s: quotient.lift₂._proof_1 0.000135 s: quotient.ind 0.000517 s: quotient.lift₂._proof_2 0.000399 s: quotient.lift₂ 0.000203 s: quotient.lift_on₂ 0.000169 s: has_insert 0.000055 s: has_insert.insert 0.000095 s: list.insert 0.000053 s: list.has_insert 0.000056 s: list.union 0.000043 s: list.has_union 0.000403 s: list.nil_union 0.001064 s: list.cons_union 0.000391 s: list.insert.def 0.000395 s: list.insert_of_mem 0.000408 s: list.insert_of_not_mem 0.000133 s: list.perm_cons 0.000910 s: list.perm.insert 0.000022 s: not.intro 0.000124 s: list.not_mem_cons_of_ne_of_not_mem 0.001898 s: list.perm_insert_swap 0.001405 s: list.perm.union_right 0.000875 s: list.perm.union_left 0.000245 s: list.perm.union 0.001022 s: multiset.ndunion._proof_1 0.000439 s: multiset.ndunion 0.000234 s: quotient.induction_on₂ 0.000416 s: list.nodup_insert 0.001492 s: list.nodup_union 0.000841 s: multiset.nodup_ndunion 0.000093 s: finset.nodup 0.000101 s: finset.has_union._proof_1 0.000092 s: finset.has_union 0.000110 s: has_sdiff 0.000035 s: has_sdiff.sdiff 0.000349 s: list.diff._main 0.000026 s: list.diff 0.000249 s: list.diff_nil 0.000779 s: list.diff._main.equations._eqn_2 0.000181 s: list.diff.equations._eqn_2 0.000116 s: list.forall_mem_of_forall_mem_cons 0.001322 s: list.erasep_of_forall_not 0.000360 s: list.erase_of_not_mem 0.000859 s: list.diff_cons 0.000113 s: list.mem_of_ne_of_mem 0.002131 s: list.erasep_append_left 0.000636 s: list.erase_append_left 0.001956 s: list.erasep_append_right 0.000449 s: list.erase_append_right 0.000051 s: decidable_of_decidable_of_iff._proof_1 0.000053 s: decidable_of_decidable_of_iff 0.000021 s: decidable_of_iff 0.000158 s: has_coe_to_sort 0.000037 s: has_coe_to_sort.S 0.000070 s: has_coe_to_sort.coe 0.000023 s: coe_sort 0.000062 s: bool 0.000022 s: coe_sort_bool 0.000029 s: bool.cases_on 0.000045 s: bor._main 0.000008 s: bor 0.000051 s: list.any 0.000036 s: decidable.to_bool 0.000041 s: bool.no_confusion_type 0.000133 s: bool.no_confusion 0.000224 s: coe_sort_ff 0.000072 s: bool.not_ff 0.000361 s: list.not_exists_mem_nil 0.000378 s: list.any_cons 0.000020 s: as_true 0.000093 s: of_as_true 0.000066 s: iff.decidable._proof_1 0.000031 s: iff.decidable._proof_2 0.000023 s: iff.decidable._proof_3 0.000033 s: iff.decidable._proof_4 0.000090 s: iff.decidable 0.000097 s: bool.ff_ne_tt 0.000123 s: bool.decidable_eq._main 0.000012 s: bool.decidable_eq 0.000724 s: bor_coe_iff 0.000182 s: bex.elim 0.000076 s: bex.intro 0.000338 s: list.or_exists_of_exists_mem_cons 0.000115 s: list.exists_mem_cons_of 0.000205 s: list.exists_mem_cons_of_exists 0.000287 s: list.exists_mem_cons_iff 0.000750 s: list.any_iff_exists 0.000215 s: exists_prop_congr 0.000102 s: exists_prop_congr' 0.000196 s: to_bool_iff 0.000065 s: of_to_bool_true 0.000055 s: to_bool_true 0.000043 s: bool.of_to_bool_iff 0.000745 s: list.any_iff_exists_prop 0.000194 s: list.decidable_exists_mem._proof_1 0.000230 s: list.decidable_exists_mem 0.000072 s: not_exists 0.000037 s: not_and 0.001009 s: list.exists_or_eq_self_of_erasep 0.000053 s: list.sublist_cons 0.000056 s: list.sublist_of_cons_sublist 0.001017 s: list.sublist_of_cons_sublist_cons 0.000109 s: list.cons_sublist_cons_iff 0.001233 s: list.append_sublist_append_left 0.000971 s: list.erasep_sublist 0.000221 s: list.erase_sublist 0.000103 s: list.erase_subset 0.000138 s: list.mem_of_mem_erase 0.002745 s: list.erase_comm 0.001402 s: list.perm.diff_left 0.000644 s: list.perm.erase 0.000836 s: list.perm.diff_right 0.000241 s: list.perm.diff 0.000316 s: multiset.sub._proof_1 0.000377 s: multiset.sub 0.000047 s: multiset.has_sub 0.000036 s: list.subperm 0.000386 s: list.eq_nil_of_subset_nil 0.000053 s: list.eq_nil_of_sublist_nil 0.006154 s: list.exists_perm_sublist 0.001058 s: list.perm.subperm_left 0.000516 s: list.perm.subperm_right 0.000309 s: multiset.le._proof_1 0.000162 s: multiset.le 0.000041 s: preorder.lt._default 0.000093 s: list.perm.subperm 0.000029 s: list.subperm.refl 0.000343 s: multiset.partial_order._proof_1 0.000521 s: list.subperm.trans 0.000470 s: multiset.partial_order._proof_2 0.000053 s: multiset.partial_order._proof_3 0.000055 s: nat.succ.inj_arrow 0.004561 s: list.eq_of_sublist_of_length_eq 0.000994 s: list.eq_of_sublist_of_length_le 0.000918 s: list.subperm.perm_of_length_le 0.000307 s: list.subperm.length_le 0.000185 s: list.subperm.antisymm 0.002350 s: multiset.partial_order._proof_4 0.000557 s: multiset.partial_order 0.001104 s: multiset.le_induction_on 0.000264 s: multiset.nodup_of_le 0.001734 s: list.perm.append_right 0.001419 s: list.perm.append_left 0.000130 s: list.perm.append 0.000402 s: multiset.add._proof_1 0.000347 s: multiset.add 0.000031 s: multiset.has_add 0.000875 s: multiset.sub_zero 0.000414 s: quotient.induction_on₃ 0.000774 s: multiset.ordered_cancel_add_comm_monoid._proof_1 0.000137 s: list.sublist.subperm 0.001752 s: list.subperm_cons 0.001513 s: list.subperm_append_left 0.001168 s: multiset.add_le_add_left 0.000284 s: multiset.add_left_cancel 0.000625 s: multiset.zero_add 0.000719 s: list.append_nil 0.001036 s: list.perm_append_comm 0.000396 s: multiset.add_comm 0.000331 s: multiset.ordered_cancel_add_comm_monoid._proof_2 0.000232 s: nsmul_rec._main 0.000024 s: nsmul_rec 0.000118 s: add_monoid.nsmul._default 0.000118 s: add_left_cancel_monoid.nsmul._default 0.000098 s: add_cancel_comm_monoid.nsmul._default 0.000315 s: multiset.ordered_cancel_add_comm_monoid._proof_3 0.000746 s: multiset.ordered_cancel_add_comm_monoid._proof_4 0.000674 s: multiset.ordered_cancel_add_comm_monoid._proof_5 0.000048 s: multiset.ordered_cancel_add_comm_monoid._proof_6 0.000071 s: multiset.ordered_cancel_add_comm_monoid._proof_7 0.000144 s: multiset.ordered_cancel_add_comm_monoid._proof_8 0.000183 s: multiset.ordered_cancel_add_comm_monoid._proof_9 0.001180 s: multiset.ordered_cancel_add_comm_monoid._proof_10 0.000157 s: multiset.ordered_cancel_add_comm_monoid._proof_11 0.005187 s: multiset.ordered_cancel_add_comm_monoid 0.000031 s: nonempty.elim 0.000041 s: forall_const 0.000085 s: inhabited.default 0.000035 s: nonempty_of_inhabited 0.000036 s: multiset.inhabited_multiset 0.000221 s: multiset.erase._proof_1 0.000291 s: multiset.erase 0.001205 s: multiset.sub_cons 0.000122 s: subsingleton 0.000196 s: psigma 0.000058 s: psigma.fst 0.000102 s: quot.indep 0.000103 s: psigma.snd 0.000069 s: psigma.cases_on 0.001267 s: psigma.eq 0.002312 s: quot.indep_coherent 0.000710 s: quot.lift_indep_pr1 0.000443 s: quot.rec 0.000054 s: subsingleton.elim 0.000185 s: quot.rec_on_subsingleton._proof_1 0.000298 s: quot.rec_on_subsingleton 0.000049 s: proof_irrel 0.000145 s: decidable.subsingleton._match_3 0.000200 s: decidable.subsingleton._match_2 0.000165 s: decidable.subsingleton._match_1 0.000095 s: decidable.subsingleton 0.000127 s: multiset.decidable_mem._proof_1 0.000654 s: multiset.decidable_mem 0.001054 s: multiset.cons_erase 0.000865 s: multiset.erase_of_not_mem 0.000192 s: multiset.quot_mk_to_coe'' 0.000299 s: multiset.cons_coe 0.000218 s: has_le.le.lt_of_ne 0.000687 s: lt_iff_le_and_ne 0.000973 s: multiset.coe_le 0.000397 s: setoid.trans 0.000227 s: setoid.symm 0.000249 s: _private.100293989.rel._proof_1 0.000117 s: _private.100293989.rel 0.000299 s: _private.3833919617.rel.refl 0.000111 s: _private.3059602155.eq_imp_rel 0.000154 s: quotient.exact 0.000136 s: quotient.eq 0.000355 s: multiset.coe_eq_coe 0.002322 s: multiset.lt_cons_self 0.000131 s: multiset.le_cons_self 0.000482 s: multiset.le_cons_erase 0.000673 s: multiset.cons_le_cons_iff 0.000112 s: multiset.cons_le_cons 0.000410 s: multiset.erase_le 0.003345 s: list.sublist_or_mem_of_sublist 0.000099 s: multiset.mem_cons_self 0.002633 s: multiset.le_cons_of_not_mem 0.000765 s: multiset.erase_le_iff_le_cons 0.001387 s: multiset.singleton_add 0.001154 s: multiset.cons_add 0.000930 s: multiset.add_cons 0.002012 s: multiset.sub_le_iff_le_add 0.000415 s: le_add_iff_nonneg_right 0.000545 s: multiset.zero_le 0.006172 s: multiset.le_add_right 0.000285 s: multiset.sub_le_self 0.000214 s: finset.has_sdiff._proof_1 0.000123 s: finset.has_sdiff 0.000514 s: le_add_of_nonneg_left 0.000405 s: comm_monoid.one 0.000582 s: comm_monoid.one_mul 0.000413 s: comm_monoid.mul_one 0.000420 s: comm_monoid.npow 0.000760 s: comm_monoid.npow_zero' 0.000819 s: comm_monoid.npow_succ' 0.000216 s: comm_monoid.to_monoid 0.000188 s: mul_left_comm 0.000532 s: multiset.prod._proof_1 0.000093 s: multiset.prod 0.000049 s: finset.prod 0.000137 s: has_pow 0.000049 s: has_pow.pow 0.000257 s: monoid.npow 0.000034 s: monoid.has_pow 0.000638 s: add_monoid_hom 0.000169 s: add_monoid_hom.to_fun 0.000068 s: add_monoid_hom.has_coe_to_fun 0.000041 s: multiset.card._proof_1 0.000239 s: multiset.card._proof_2 0.000952 s: list.length_append 0.002940 s: multiset.card._proof_3 0.003513 s: multiset.card 0.000072 s: multiset.repeat 0.000110 s: finset.prod.equations._eqn_1 0.000013 s: function.const 0.000443 s: list.map._main.equations._eqn_2 0.000106 s: list.map.equations._eqn_2 0.001747 s: list.map_const 0.001113 s: multiset.map_const 0.000249 s: list.foldl._main 0.000035 s: list.foldl 0.000050 s: list.prod 0.000126 s: multiset.repeat.equations._eqn_1 0.000424 s: list.foldl._main.equations._eqn_2 0.000079 s: list.foldl.equations._eqn_2 0.003849 s: list.perm.foldl_eq' 0.000164 s: list.perm.foldl_eq 0.000130 s: multiset.foldl._proof_1 0.000160 s: multiset.foldl 0.000182 s: mul_right_comm 0.000195 s: list.reverse_core._main 0.000022 s: list.reverse_core 0.000019 s: list.reverse 0.000404 s: list.reverse_core._main.equations._eqn_2 0.000096 s: list.reverse_core.equations._eqn_2 0.001456 s: list.reverse_cons 0.000185 s: list.perm_append_singleton 0.000565 s: list.reverse_perm 0.000358 s: multiset.coe_reverse 0.000414 s: list.foldl_cons 0.001386 s: list.foldl_append 0.000170 s: list.foldl_nil 0.000480 s: list.foldr._main.equations._eqn_2 0.000091 s: list.foldr.equations._eqn_2 0.001525 s: list.foldl_reverse 0.000220 s: list.reverse_nil 0.000837 s: list.reverse_append 0.001100 s: list.reverse_reverse 0.000402 s: list.foldr_reverse 0.000820 s: multiset.coe_foldr_swap 0.000577 s: multiset.foldr_swap 0.002448 s: multiset.prod_eq_foldl 0.000439 s: multiset.coe_prod 0.000777 s: monoid.npow_zero' 0.000267 s: pow_zero 0.000078 s: list.prod.equations._eqn_1 0.001083 s: list.foldl_assoc 0.000091 s: semigroup.to_is_associative 0.000818 s: list.prod_cons 0.000150 s: npow_eq_pow 0.000774 s: monoid.npow_succ' 0.001062 s: npow_add 0.000764 s: npow_one 0.000497 s: pow_succ 0.001151 s: list.prod_repeat 0.000415 s: multiset.prod_repeat 0.000495 s: one_pow 0.000822 s: finset.prod_const_one 0.000010 s: multiplicative 0.000454 s: equiv 0.000081 s: equiv.to_fun 0.000164 s: equiv.has_coe_to_fun 0.000095 s: multiplicative.of_add._proof_1 0.000040 s: multiplicative.of_add._proof_2 0.000128 s: multiplicative.of_add 0.000086 s: equiv.inv_fun 0.000168 s: equiv.right_inv 0.000163 s: equiv.left_inv 0.000341 s: equiv.symm 0.000277 s: multiplicative.to_add 0.000166 s: multiplicative.has_mul 0.000720 s: multiplicative.semigroup 0.000105 s: multiplicative.monoid._proof_1 0.000058 s: multiplicative.has_one 0.000067 s: multiplicative.mul_one_class._proof_1 0.000056 s: multiplicative.mul_one_class._proof_2 0.000716 s: multiplicative.mul_one_class 0.000071 s: multiplicative.monoid._proof_2 0.000069 s: multiplicative.monoid._proof_3 0.000312 s: add_monoid.nsmul 0.001370 s: add_monoid.nsmul_zero' 0.000311 s: multiplicative.monoid._proof_4 0.000819 s: add_monoid.nsmul_succ' 0.000211 s: multiplicative.monoid._proof_5 0.001449 s: multiplicative.monoid 0.000115 s: multiplicative.comm_monoid._proof_1 0.000098 s: multiplicative.comm_monoid._proof_2 0.000057 s: multiplicative.comm_monoid._proof_3 0.000172 s: multiplicative.comm_monoid._proof_4 0.000177 s: multiplicative.comm_monoid._proof_5 0.000092 s: multiplicative.comm_semigroup._proof_1 0.000064 s: multiplicative.comm_semigroup._proof_2 0.000725 s: multiplicative.comm_semigroup 0.000181 s: multiplicative.comm_monoid._proof_6 0.001323 s: multiplicative.comm_monoid 0.003207 s: finset.sum_const_zero 0.000730 s: multiset.ndinsert._proof_1 0.000263 s: multiset.ndinsert 0.000457 s: multiset.nodup_ndinsert 0.000114 s: finset.has_insert._proof_1 0.000118 s: finset.has_insert 0.000589 s: multiset.nodup_cons 0.000258 s: finset.cons._proof_1 0.000076 s: finset.cons 0.000068 s: finset.cases_on 0.000564 s: finset.eq_of_veq 0.000157 s: finset.cons_val 0.000856 s: finset.cons_induction 0.000086 s: finset.val_inj 0.002687 s: list.cons_subperm_of_mem 0.000711 s: list.subperm_of_subset_nodup 0.000190 s: list.perm_ext 0.000864 s: multiset.nodup_ext 0.000239 s: finset.ext_iff 0.000075 s: finset.ext 0.000709 s: finset.mem_cons 0.000624 s: list.mem_insert_iff 0.001181 s: multiset.mem_ndinsert 0.000396 s: finset.mem_insert 0.000380 s: finset.cons_eq_insert 0.000270 s: finset.induction 0.000211 s: finset.induction_on 0.000148 s: finset.fold.equations._eqn_1 0.000241 s: finset.insert_val 0.000759 s: multiset.ndinsert_of_not_mem 0.000729 s: multiset.map_cons 0.001073 s: finset.fold_insert 0.000843 s: finset.sum_insert 0.000053 s: has_le.le.trans 0.000204 s: add_le_add 0.000152 s: multiset.mem_ndinsert_self 0.000327 s: finset.mem_insert_self 0.000164 s: multiset.mem_ndinsert_of_mem 0.000378 s: finset.mem_insert_of_mem 0.003681 s: finset.sum_le_sum 0.000475 s: finset.sum_nonneg 0.000041 s: multiset.subset 0.000027 s: multiset.has_subset 0.000123 s: multiset.mem_of_subset 0.000145 s: list.subset.trans 0.000236 s: list.subperm.subset 0.000781 s: multiset.subset_of_le 0.000101 s: multiset.mem_of_le 0.000112 s: multiset.countp._proof_1 0.000150 s: multiset.countp 0.000047 s: multiset.count 0.000068 s: iff_iff_implies_and_implies 0.000034 s: iff_def 0.000043 s: decidable.not_imp_comm 0.000171 s: decidable.iff_not_comm 0.000027 s: iff_not_comm 0.000088 s: multiset.count.equations._eqn_1 0.000187 s: multiset.filter._proof_1 0.000267 s: multiset.filter 0.001485 s: multiset.countp_eq_card_filter 0.000717 s: multiset.card_pos_iff_exists_mem 0.001034 s: multiset.mem_filter 0.001175 s: multiset.countp_pos 0.001274 s: multiset.count_pos 0.009659 s: canonically_ordered_add_monoid 0.001555 s: canonically_ordered_add_monoid.add 0.001688 s: canonically_ordered_add_monoid.add_assoc 0.001196 s: canonically_ordered_add_monoid.zero 0.001457 s: canonically_ordered_add_monoid.zero_add 0.001293 s: canonically_ordered_add_monoid.add_zero 0.001191 s: canonically_ordered_add_monoid.nsmul 0.001687 s: canonically_ordered_add_monoid.nsmul_zero' 0.001668 s: canonically_ordered_add_monoid.nsmul_succ' 0.001375 s: canonically_ordered_add_monoid.add_comm 0.001193 s: canonically_ordered_add_monoid.le 0.001091 s: canonically_ordered_add_monoid.lt 0.001312 s: canonically_ordered_add_monoid.le_refl 0.001454 s: canonically_ordered_add_monoid.le_trans 0.001791 s: canonically_ordered_add_monoid.lt_iff_le_not_le 0.001853 s: canonically_ordered_add_monoid.le_antisymm 0.004124 s: canonically_ordered_add_monoid.add_le_add_left 0.004515 s: canonically_ordered_add_monoid.lt_of_add_lt_add_left 0.000760 s: canonically_ordered_add_monoid.to_ordered_add_comm_monoid 0.012422 s: canonically_ordered_add_monoid.le_iff_exists_add 0.000640 s: le_iff_exists_add 0.001304 s: zero_le 0.000205 s: pos_iff_ne_zero 0.000772 s: comm_semiring.to_semiring 0.014646 s: canonically_ordered_comm_semiring 0.003026 s: canonically_ordered_comm_semiring.add 0.002743 s: canonically_ordered_comm_semiring.add_assoc 0.002179 s: canonically_ordered_comm_semiring.zero 0.002446 s: canonically_ordered_comm_semiring.zero_add 0.002814 s: canonically_ordered_comm_semiring.add_zero 0.002309 s: canonically_ordered_comm_semiring.nsmul 0.003802 s: canonically_ordered_comm_semiring.nsmul_zero' 0.002889 s: canonically_ordered_comm_semiring.nsmul_succ' 0.002400 s: canonically_ordered_comm_semiring.add_comm 0.002727 s: canonically_ordered_comm_semiring.le 0.002388 s: canonically_ordered_comm_semiring.lt 0.003328 s: canonically_ordered_comm_semiring.le_refl 0.003390 s: canonically_ordered_comm_semiring.le_trans 0.002670 s: canonically_ordered_comm_semiring.lt_iff_le_not_le 0.002879 s: canonically_ordered_comm_semiring.le_antisymm 0.006234 s: canonically_ordered_comm_semiring.add_le_add_left 0.006217 s: canonically_ordered_comm_semiring.lt_of_add_lt_add_left 0.002399 s: canonically_ordered_comm_semiring.bot 0.003712 s: canonically_ordered_comm_semiring.bot_le 0.014231 s: canonically_ordered_comm_semiring.le_iff_exists_add 0.001279 s: canonically_ordered_comm_semiring.to_canonically_ordered_add_monoid 0.000135 s: nat.canonically_ordered_comm_semiring._proof_1 0.000081 s: nat.canonically_ordered_comm_semiring._proof_2 0.000244 s: nat.canonically_ordered_comm_semiring._proof_3 0.002088 s: nat.canonically_ordered_comm_semiring._proof_4 0.000219 s: nat.canonically_ordered_comm_semiring._proof_5 0.000103 s: nat.canonically_ordered_comm_semiring._proof_6 0.000082 s: nat.canonically_ordered_comm_semiring._proof_7 0.000071 s: nat.canonically_ordered_comm_semiring._proof_8 0.000163 s: nat.canonically_ordered_comm_semiring._proof_9 0.000173 s: nat.canonically_ordered_comm_semiring._proof_10 0.000636 s: nat.canonically_ordered_comm_semiring._proof_11 0.000741 s: nat.canonically_ordered_comm_semiring._proof_12 0.002769 s: nat.canonically_ordered_comm_semiring._match_1 0.003211 s: nat.canonically_ordered_comm_semiring._match_2 0.001638 s: nat.canonically_ordered_comm_semiring._proof_13 0.000081 s: nat.canonically_ordered_comm_semiring._proof_14 0.000074 s: nat.canonically_ordered_comm_semiring._proof_15 0.000037 s: nat.canonically_ordered_comm_semiring._proof_16 0.000166 s: nat.canonically_ordered_comm_semiring._proof_17 0.000193 s: nat.canonically_ordered_comm_semiring._proof_18 0.000044 s: nat.canonically_ordered_comm_semiring._proof_19 0.000041 s: nat.canonically_ordered_comm_semiring._proof_20 0.000106 s: nat.canonically_ordered_comm_semiring._proof_21 0.000065 s: nat.canonically_ordered_comm_semiring._proof_22 0.001511 s: comm_semiring.mul_comm 0.000102 s: nat.canonically_ordered_comm_semiring._proof_23 0.000180 s: nat.add_one 0.000695 s: nat.eq_zero_of_add_eq_zero_right 0.000069 s: nat.eq_zero_of_add_eq_zero_left 0.000249 s: nat.eq_zero_of_mul_eq_zero 0.000041 s: nat.canonically_ordered_comm_semiring._proof_24 0.007073 s: nat.canonically_ordered_comm_semiring 0.003367 s: multiset.count_eq_zero 0.000198 s: nat.sub._main 0.000009 s: nat.sub 0.000037 s: nat.has_sub 0.000389 s: multiset.count_zero 0.000146 s: nat.sub_zero 0.001242 s: list.countp_cons_of_pos 0.001080 s: multiset.countp_cons_of_pos 0.000422 s: multiset.count_cons_self 0.000735 s: multiset.count_erase_self 0.000294 s: nat.sub_succ 0.000156 s: nat.sub_one 0.000707 s: nat.sub_sub 0.001431 s: nat.one_add 0.000640 s: nat.pred_sub 0.001376 s: multiset.countp_cons_of_neg 0.000190 s: multiset.count_cons_of_ne 0.000570 s: multiset.count_erase_of_ne 0.001655 s: multiset.count_sub 0.000136 s: nat.add_le_add_right 0.000039 s: nat.rec_on 0.000870 s: nat.succ_sub_succ_eq_sub 0.000032 s: nat.succ_sub_succ 0.000556 s: nat.add_sub_add_right 0.001416 s: nat.le_of_sub_eq_zero 0.000203 s: nat.add_sub_add_left 0.000565 s: nat.zero_sub 0.000230 s: nat.sub_self_add 0.000175 s: nat.sub_eq_zero_of_le 0.000063 s: nat.sub_eq_zero_iff_le 0.000605 s: multiset.nodup_iff_count_le_one 0.001598 s: multiset.mem_add 0.000228 s: multiset.le_sub_add 0.001832 s: multiset.mem_sub_of_nodup 0.000632 s: finset.mem_sdiff 0.004055 s: semilattice_inf_bot 0.000624 s: semilattice_inf_bot.bot 0.000584 s: semilattice_inf_bot.le 0.000466 s: semilattice_inf_bot.lt 0.001302 s: semilattice_inf_bot.le_refl 0.001248 s: semilattice_inf_bot.le_trans 0.001200 s: semilattice_inf_bot.lt_iff_le_not_le 0.001891 s: semilattice_inf_bot.le_antisymm 0.001498 s: semilattice_inf_bot.bot_le 0.000212 s: semilattice_inf_bot.to_order_bot 0.000612 s: semilattice_inf_bot.inf 0.001453 s: semilattice_inf_bot.inf_le_left 0.001190 s: semilattice_inf_bot.inf_le_right 0.001677 s: semilattice_inf_bot.le_inf 0.000395 s: semilattice_inf_bot.to_semilattice_inf 0.000061 s: disjoint 0.000115 s: has_ssubset 0.000042 s: has_ssubset.ssubset 0.000046 s: finset.has_ssubset 0.000074 s: multiset.subset.refl 0.000159 s: finset.subset.refl 0.000107 s: multiset.subset.trans 0.000459 s: finset.subset.trans 0.000100 s: finset.partial_order._proof_1 0.000185 s: finset.subset.antisymm 0.000686 s: finset.partial_order 0.000065 s: finset.lattice._proof_1 0.000117 s: finset.lattice._proof_2 0.000322 s: finset.lattice._proof_3 0.000277 s: finset.lattice._proof_4 0.001250 s: list.mem_union 0.001713 s: multiset.mem_ndunion 0.000438 s: finset.mem_union 0.000164 s: finset.mem_union_left 0.000151 s: finset.subset_union_left 0.000089 s: finset.lattice._proof_5 0.000142 s: finset.mem_union_right 0.000143 s: finset.subset_union_right 0.000105 s: finset.lattice._proof_6 0.000779 s: multiset.le_iff_subset 0.000237 s: finset.val_le_iff 0.000512 s: multiset.zero_ndunion 0.000339 s: multiset.zero_subset 0.001294 s: multiset.cons_ndunion 0.000043 s: list.is_suffix 0.000034 s: list.is_infix 0.000702 s: list.sublist_append_left 0.000308 s: list.sublist_of_infix 0.000403 s: list.infix_of_suffix 0.000068 s: list.sublist_of_suffix 0.000182 s: list.suffix_refl 0.000102 s: list.suffix_append 0.000231 s: list.suffix_cons 0.000462 s: list.suffix_insert 0.001178 s: multiset.le_ndinsert_self 0.001232 s: multiset.ndinsert_of_mem 0.001442 s: multiset.ndinsert_le 0.000038 s: and_comm 0.000133 s: multiset.subset_iff 0.000928 s: multiset.cons_subset 0.002091 s: multiset.ndunion_le 0.000572 s: finset.union_subset 0.000136 s: finset.lattice._proof_7 0.000129 s: has_inter 0.000069 s: has_inter.inter 0.000084 s: multiset.ndinter 0.000162 s: list.pairwise_filter_of_pairwise 0.000146 s: list.nodup_filter 0.000454 s: multiset.nodup_filter 0.000251 s: multiset.nodup_ndinter 0.000162 s: finset.has_inter._proof_1 0.000147 s: finset.has_inter 0.000288 s: multiset.mem_ndinter 0.000811 s: finset.mem_inter 0.000247 s: finset.mem_of_mem_inter_left 0.000300 s: finset.inter_subset_left 0.000143 s: finset.lattice._proof_8 0.000218 s: finset.mem_of_mem_inter_right 0.000369 s: finset.inter_subset_right 0.000155 s: finset.lattice._proof_9 0.000120 s: finset.subset_iff 0.000955 s: finset.subset_inter 0.000167 s: finset.lattice._proof_10 0.003135 s: finset.lattice 0.000100 s: finset.semilattice_inf_bot._proof_1 0.000148 s: finset.semilattice_inf_bot._proof_2 0.000232 s: finset.semilattice_inf_bot._proof_3 0.000236 s: finset.semilattice_inf_bot._proof_4 0.000698 s: finset.empty_subset 0.000669 s: finset.semilattice_inf_bot._proof_5 0.000334 s: finset.semilattice_inf_bot._proof_6 0.000468 s: finset.semilattice_inf_bot._proof_7 0.001768 s: finset.semilattice_inf_bot 0.000687 s: multiset.coe_fold_l 0.000550 s: multiset.fold_eq_foldl 0.001812 s: multiset.foldl_cons 0.000381 s: multiset.fold_cons'_right 0.000255 s: multiset.fold_cons_right 0.000043 s: of_eq_true 0.000021 s: eq_true_intro 0.002793 s: multiset.fold_add 0.000246 s: list.map._main.equations._eqn_1 0.000063 s: list.map.equations._eqn_1 0.001076 s: list.map_append 0.001091 s: multiset.map_add 0.000066 s: multiset.union 0.000069 s: multiset.has_union 0.000411 s: multiset.le_union_left 0.001413 s: le_add_iff_nonneg_left 0.006224 s: multiset.le_add_left 0.000395 s: multiset.le_union_right 0.000272 s: multiset.ndunion_le_union 0.000095 s: multiset.canonically_ordered_add_monoid._proof_1 0.000128 s: multiset.canonically_ordered_add_monoid._proof_2 0.000094 s: multiset.canonically_ordered_add_monoid._proof_3 0.000326 s: multiset.canonically_ordered_add_monoid._proof_4 0.000274 s: multiset.canonically_ordered_add_monoid._proof_5 0.000086 s: multiset.canonically_ordered_add_monoid._proof_6 0.000037 s: multiset.canonically_ordered_add_monoid._proof_7 0.000070 s: multiset.canonically_ordered_add_monoid._proof_8 0.000196 s: multiset.canonically_ordered_add_monoid._proof_9 0.000170 s: multiset.canonically_ordered_add_monoid._proof_10 0.000744 s: multiset.canonically_ordered_add_monoid._proof_11 0.000114 s: multiset.canonically_ordered_add_monoid._proof_12 0.001924 s: list.sublist.exists_perm_append 0.001123 s: multiset.le_iff_exists_add 0.008087 s: multiset.canonically_ordered_add_monoid 0.000056 s: forall_prop_of_true 0.000034 s: forall_true_left 0.004269 s: multiset.add_sub_of_le 0.001107 s: multiset.sub_add_cancel 0.000395 s: multiset.eq_union_left 0.001131 s: list.sublist.erasep 0.000530 s: list.sublist.erase 0.001028 s: multiset.erase_le_erase 0.001257 s: multiset.sub_le_sub_right 0.005271 s: multiset.union_le_union_right 0.000548 s: multiset.union_le 0.000284 s: multiset.subset_ndunion_left 0.000178 s: multiset.le_ndunion_left 0.002119 s: list.sublist_suffix_of_union 0.000246 s: list.suffix_union_right 0.000971 s: multiset.le_ndunion_right 0.000310 s: multiset.ndunion_eq_union 0.000303 s: finset.union_val 0.000496 s: list.bag_inter._main 0.000028 s: list.bag_inter 0.000653 s: list.nil_bag_inter 0.001910 s: list.cons_bag_inter_of_pos 0.000436 s: list.bag_inter_nil 0.000934 s: list.bag_inter._main.equations._eqn_4 0.000223 s: list.bag_inter.equations._eqn_4 0.001142 s: list.cons_bag_inter_of_neg 0.001308 s: list.perm.bag_inter_left 0.000130 s: list.erasep_subset 0.000137 s: list.mem_of_mem_erasep 0.001346 s: list.mem_erasep_of_neg 0.000302 s: list.mem_erase_of_ne 0.003142 s: list.perm.bag_inter_right 0.000215 s: list.perm.bag_inter 0.000353 s: multiset.inter._proof_1 0.000335 s: multiset.inter 0.000058 s: multiset.has_inter 0.000903 s: multiset.zero_inter 0.001890 s: multiset.cons_inter_of_pos 0.001176 s: multiset.cons_inter_of_neg 0.001381 s: multiset.le_inter 0.000178 s: multiset.ndinter.equations._eqn_1 0.000574 s: multiset.filter_le 0.000175 s: multiset.of_mem_filter 0.001278 s: multiset.filter_eq_self 0.000712 s: multiset.filter_le_filter 0.000614 s: multiset.le_filter 0.000797 s: multiset.le_ndinter 0.000205 s: multiset.ndinter_le_left 0.000136 s: multiset.ndinter_subset_right 0.000229 s: multiset.ndinter_le_right 0.000940 s: list.bag_inter_sublist_left 0.000586 s: multiset.inter_le_left 0.000814 s: multiset.inter_le_right 0.000248 s: multiset.inter_le_ndinter 0.000323 s: multiset.ndinter_eq_inter 0.000217 s: finset.inter_val 0.000093 s: multiset.union.equations._eqn_1 0.002829 s: list.diff_eq_foldl 0.000681 s: list.diff_append 0.001077 s: multiset.sub_add' 0.000524 s: multiset.erase_cons_head 0.001992 s: multiset.add_sub_cancel_left 0.000779 s: multiset.add_sub_cancel 0.002317 s: multiset.union_add_distrib 0.000163 s: quotient.rec_on_subsingleton 0.000264 s: quotient.rec_on_subsingleton₂._proof_1 0.000151 s: quotient.rec_on_subsingleton₂._proof_2 0.000623 s: quotient.rec_on_subsingleton₂ 0.000046 s: decidable_of_iff' 0.000602 s: list.cons_perm_iff_perm_erase 0.000960 s: list.decidable_perm._main 0.000037 s: list.decidable_perm 0.000500 s: multiset.has_decidable_eq._main 0.000024 s: multiset.has_decidable_eq 0.000092 s: nat.le_of_lt_succ 0.000058 s: nat.lt_of_succ_lt_succ 0.004902 s: list.subperm.exists_of_length_lt 0.000992 s: multiset.eq_of_le_of_card_le 0.000744 s: multiset.card_lt_of_lt 0.001439 s: multiset.lt_iff_cons_le 0.001496 s: le_of_add_le_add_right 0.006223 s: multiset.inter_add_distrib 0.001916 s: multiset.add_inter_distrib 0.003154 s: multiset.union_add_inter 0.001331 s: finset.fold_union_inter 0.001176 s: finset.sum_union_inter 0.000177 s: bot_unique 0.000129 s: eq_bot_iff 0.000139 s: disjoint_iff 0.001073 s: finset.disjoint_iff_inter_eq_empty 0.002011 s: finset.sum_union 0.000146 s: disjoint.equations._eqn_1 0.000623 s: finset.inf_eq_inter 0.000327 s: finset.le_iff_subset 0.006911 s: finset.disjoint_left 0.000345 s: finset.sdiff_disjoint 0.000727 s: finset.union_comm 0.014613 s: generalized_boolean_algebra 0.001882 s: generalized_boolean_algebra.bot 0.001691 s: generalized_boolean_algebra.le 0.002052 s: generalized_boolean_algebra.lt 0.002095 s: generalized_boolean_algebra.le_refl 0.001796 s: generalized_boolean_algebra.le_trans 0.002224 s: generalized_boolean_algebra.lt_iff_le_not_le 0.002278 s: generalized_boolean_algebra.le_antisymm 0.002599 s: generalized_boolean_algebra.bot_le 0.001656 s: generalized_boolean_algebra.inf 0.002655 s: generalized_boolean_algebra.inf_le_left 0.002519 s: generalized_boolean_algebra.inf_le_right 0.003310 s: generalized_boolean_algebra.le_inf 0.000489 s: generalized_boolean_algebra.to_semilattice_inf_bot 0.001880 s: generalized_boolean_algebra.sup 0.002799 s: generalized_boolean_algebra.le_sup_left 0.002817 s: generalized_boolean_algebra.le_sup_right 0.003161 s: generalized_boolean_algebra.sup_le 0.000583 s: generalized_boolean_algebra.to_semilattice_sup_bot 0.001861 s: generalized_boolean_algebra.sdiff 0.000028 s: generalized_boolean_algebra.to_has_sdiff 0.007643 s: generalized_boolean_algebra.sup_inf_sdiff 0.000715 s: sup_inf_sdiff 0.000200 s: le_antisymm_iff 0.000016 s: order_dual 0.000056 s: order_dual.has_sup 0.000036 s: order_dual.has_le 0.000032 s: order_dual.has_lt 0.000052 s: order_dual.preorder._proof_1 0.000292 s: order_dual.preorder._proof_2 0.000157 s: order_dual.preorder._proof_3 0.002124 s: order_dual.preorder 0.000145 s: order_dual.partial_order._proof_1 0.000237 s: order_dual.partial_order._proof_2 0.000241 s: order_dual.partial_order._proof_3 0.000596 s: order_dual.partial_order._proof_4 0.000429 s: order_dual.partial_order 0.000120 s: order_dual.semilattice_sup._proof_1 0.000085 s: order_dual.semilattice_sup._proof_2 0.000135 s: order_dual.semilattice_sup._proof_3 0.000215 s: order_dual.semilattice_sup._proof_4 0.000263 s: order_dual.semilattice_sup._proof_5 0.000201 s: order_dual.semilattice_sup._proof_6 0.001779 s: order_dual.semilattice_sup._proof_7 0.004000 s: order_dual.semilattice_sup 0.002318 s: le_inf_iff 0.000643 s: inf_eq_right 0.001520 s: sup_sdiff_of_le 0.000113 s: finset.distrib_lattice._proof_1 0.000125 s: finset.distrib_lattice._proof_2 0.000309 s: finset.distrib_lattice._proof_3 0.000254 s: finset.distrib_lattice._proof_4 0.000314 s: finset.distrib_lattice._proof_5 0.000384 s: finset.distrib_lattice._proof_6 0.000448 s: finset.distrib_lattice._proof_7 0.000310 s: finset.distrib_lattice._proof_8 0.000311 s: finset.distrib_lattice._proof_9 0.000309 s: finset.distrib_lattice._proof_10 0.000023 s: imp_true_iff 0.002065 s: finset.distrib_lattice._proof_11 0.005534 s: finset.distrib_lattice 0.000127 s: finset.generalized_boolean_algebra._proof_1 0.000135 s: finset.generalized_boolean_algebra._proof_2 0.000218 s: finset.generalized_boolean_algebra._proof_3 0.000246 s: finset.generalized_boolean_algebra._proof_4 0.000331 s: finset.generalized_boolean_algebra._proof_5 0.000424 s: finset.generalized_boolean_algebra._proof_6 0.000286 s: finset.generalized_boolean_algebra._proof_7 0.000435 s: finset.generalized_boolean_algebra._proof_8 0.001516 s: distrib_lattice.inf 0.002292 s: distrib_lattice.inf_le_left 0.000336 s: finset.generalized_boolean_algebra._proof_9 0.001939 s: distrib_lattice.inf_le_right 0.000267 s: finset.generalized_boolean_algebra._proof_10 0.002534 s: distrib_lattice.le_inf 0.000636 s: finset.generalized_boolean_algebra._proof_11 0.018710 s: distrib_lattice.le_sup_inf 0.001770 s: finset.generalized_boolean_algebra._proof_12 0.000571 s: finset.sup_eq_union 0.000072 s: decidable.or_iff_not_imp_left 0.000023 s: or_iff_not_imp_left 0.000095 s: decidable.not_and_distrib' 0.000236 s: finset.decidable_mem 0.011971 s: finset.generalized_boolean_algebra._proof_13 0.001160 s: finset.inter_assoc 0.000173 s: list.subset.refl 0.000427 s: list.eq_nil_iff_forall_not_mem 0.000699 s: multiset.eq_zero_of_forall_not_mem 0.000229 s: finset.eq_empty_of_forall_not_mem 0.000775 s: finset.inter_sdiff_self 0.000030 s: and_false 0.000504 s: finset.inter_empty 0.000328 s: finset.not_mem_empty 0.007342 s: finset.generalized_boolean_algebra._proof_14 0.007203 s: finset.generalized_boolean_algebra 0.002307 s: finset.union_sdiff_of_subset 0.000258 s: finset.sdiff_union_of_subset 0.001189 s: finset.sum_le_sum_of_subset_of_nonneg 0.000041 s: set.subset 0.000027 s: set.has_subset 0.000063 s: set_of 0.000054 s: finset.set.has_coe_t 0.000054 s: set.has_singleton 0.000240 s: set.ext 0.000287 s: finset.mem_coe 0.000340 s: set.mem_singleton_iff 0.000350 s: finset.coe_singleton 0.000331 s: set.singleton_subset_iff 0.000328 s: finset.singleton_subset_set_iff 0.000941 s: finset.singleton_subset_iff 0.000761 s: finset.single_le_sum 0.000047 s: nat.succ_le_succ_iff 0.000069 s: nat.lt_succ_iff 0.001477 s: add_sub_cancel 0.002058 s: add_sub 0.077166 s: cau_seq.bounded 0.032613 s: cau_seq.bounded' 0.003143 s: cau_seq.has_mul._match_5 0.000749 s: cau_seq.has_mul._proof_1 0.000361 s: cau_seq.has_mul 0.000533 s: is_absolute_value.abv_eq_zero 0.000253 s: is_absolute_value.abv_zero 0.000085 s: gt_iff_lt 0.002373 s: cau_seq.const._proof_1 0.000210 s: cau_seq.const 0.000779 s: cau_seq.mul_apply 0.000352 s: cau_seq.const_apply 0.000078 s: neg_involutive 0.000057 s: neg_injective 0.000075 s: neg_inj 0.002037 s: cau_seq.has_neg._proof_1 0.000661 s: cau_seq.has_neg 0.000684 s: cau_seq.add_apply 0.001074 s: cau_seq.neg_apply 0.002004 s: cau_seq.has_sub._proof_1 0.000459 s: cau_seq.has_sub 0.000305 s: subtype.cases_on 0.001142 s: subtype.eq 0.000820 s: cau_seq.ext 0.000139 s: nontrivial.to_nonempty._match_1 0.000038 s: nontrivial.to_nonempty 0.000241 s: nat.zero_ne_one 0.000064 s: nat.nontrivial 0.002681 s: cau_seq.ring._proof_1 0.000188 s: cau_seq.has_zero 0.000978 s: cau_seq.zero_apply 0.002564 s: cau_seq.ring._proof_2 0.003021 s: cau_seq.ring._proof_3 0.006418 s: cau_seq.ring._proof_4 0.007493 s: cau_seq.ring._proof_5 0.001088 s: cau_seq.sub_apply 0.016457 s: cau_seq.ring._proof_6 0.040697 s: cau_seq.ring._proof_7 0.007300 s: cau_seq.ring._proof_8 0.000285 s: ring.to_monoid 0.001619 s: cau_seq.ring._proof_9 0.000126 s: cau_seq.has_one 0.001247 s: cau_seq.one_apply 0.002096 s: cau_seq.ring._proof_10 0.001663 s: cau_seq.ring._proof_11 0.004164 s: cau_seq.ring._proof_12 0.004861 s: cau_seq.ring._proof_13 0.002375 s: cau_seq.ring._proof_14 0.001753 s: cau_seq.ring._proof_15 0.015749 s: cau_seq.ring 0.002604 s: cau_seq.zero_lim_zero 0.001697 s: neg_one_mul 0.105334 s: cau_seq.mul_lim_zero_right 0.004677 s: cau_seq.neg_lim_zero 0.027547 s: cau_seq.add_lim_zero 0.004790 s: cau_seq.equiv._proof_1 0.000260 s: cau_seq.equiv 0.000138 s: cau_seq.completion.Cauchy 0.000102 s: int 0.000347 s: acc 0.000278 s: well_founded 0.000101 s: acc.rec_on 0.000138 s: well_founded.fix_F 0.000080 s: well_founded.apply 0.000058 s: well_founded.fix._proof_1 0.000172 s: well_founded.fix 0.000222 s: has_well_founded 0.000089 s: has_well_founded.r 0.000939 s: psigma.lex 0.000287 s: psigma.lex.rec_on 0.000083 s: heq.rec_on 0.000191 s: eq_of_heq 0.001697 s: psigma.lex_accessible 0.000324 s: psigma.lex_wf 0.000114 s: has_well_founded.wf 0.000185 s: psigma.has_well_founded._proof_1 0.000116 s: psigma.has_well_founded 0.000108 s: has_sizeof 0.000039 s: inv_image 0.000058 s: measure 0.000072 s: has_sizeof.sizeof 0.000044 s: sizeof 0.000036 s: sizeof_measure 0.000289 s: _private.4014471427.acc_aux 0.000101 s: inv_image.accessible 0.000087 s: inv_image.wf 0.000109 s: nat.not_lt_zero 0.000056 s: eq.substr 0.000077 s: acc.inv 0.000260 s: nat.lt_wf 0.000157 s: measure_wf 0.000046 s: sizeof_measure_wf 0.000036 s: has_well_founded_of_has_sizeof 0.000012 s: nat.sizeof._main 0.000006 s: nat.sizeof 0.000013 s: nat.has_sizeof 0.000138 s: has_mod 0.000062 s: has_mod.mod 0.000117 s: nat.pred_le 0.000573 s: nat.sub_le 0.000462 s: nat.sub_lt 0.000125 s: _private.757066717.div_rec_lemma 0.000213 s: _private.1846598367.mod.F 0.000075 s: nat.mod 0.000063 s: nat.has_mod 0.000045 s: nat.sizeof._main.equations._eqn_1 0.000019 s: nat.sizeof.equations._eqn_1 0.001496 s: gcd._main._pack._wf_rec_mk_dec_tactic._aux_1 0.000099 s: or.by_cases 0.000226 s: decidable.lt_or_eq_of_le 0.000456 s: nat.strong_rec_on._proof_1 0.000682 s: nat.strong_rec_on 0.000089 s: nat.strong_induction_on 0.000413 s: nat.case_strong_induction_on 0.000304 s: dif_eq_if 0.000222 s: acc.drec 0.000655 s: well_founded.fix_F_eq 0.000326 s: well_founded.fix_eq 0.000800 s: nat.mod_def_aux 0.000193 s: nat.mod_def 0.001068 s: nat.zero_mod 0.000839 s: nat.mod_eq_of_lt 0.000285 s: nat.mod_eq_sub_mod 0.000238 s: decidable.le_of_not_lt 0.000130 s: decidable.not_lt 0.000544 s: nat.mod_lt 0.000263 s: nat.gcd._main._pack 0.000022 s: nat.gcd._main 0.000007 s: nat.gcd 0.000019 s: nat.coprime 0.000049 s: int.cases_on 0.000025 s: int.nat_abs._main 0.000006 s: int.nat_abs 0.000208 s: rat 0.000064 s: rat.cases_on 0.000018 s: pnat 0.000088 s: _private.2993550761.div.F 0.000044 s: nat.div 0.000015 s: nat.has_div 0.000009 s: int.zero 0.000012 s: int.has_zero 0.000025 s: int.neg_of_nat._main 0.000007 s: int.neg_of_nat 0.000018 s: int.has_coe 0.000055 s: int.neg._main 0.000006 s: int.neg 0.000016 s: int.has_neg 0.000084 s: int.div._main 0.000007 s: int.div 0.000009 s: int.has_div 0.000206 s: decidable.lt_or_le 0.000563 s: nat.div_def_aux 0.000216 s: nat.div_def 0.000647 s: nat.div_eq_of_lt 0.000236 s: nat.div_eq_sub_div 0.000114 s: nat.le_of_add_le_add_right 0.000053 s: nat.add_le_add_iff_le_right 0.000249 s: nat.sub_lt_of_pos_le 0.000144 s: nat.add_sub_cancel 0.000494 s: nat.le_of_le_of_sub_le_sub_right 0.000973 s: nat.sub_le_sub_right 0.000086 s: nat.sub_le_sub_right_iff 0.000258 s: nat.add_le_to_le_sub 0.001834 s: nat.le_div_iff_mul_le 0.000116 s: has_dvd 0.000054 s: has_dvd.dvd 0.000028 s: nat.has_dvd 0.000164 s: nat.eq_zero_of_zero_dvd 0.000302 s: nat.pos_of_dvd_of_pos 0.000119 s: well_founded.recursion 0.000070 s: well_founded.induction 0.000278 s: nat.gcd.induction 0.000391 s: nat.gcd._main._pack.equations._eqn_1 0.000032 s: nat.gcd._main.equations._eqn_1 0.000020 s: nat.gcd.equations._eqn_1 0.000111 s: nat.gcd_zero_left 0.000067 s: monoid_has_dvd 0.000043 s: exists.intro 0.000268 s: dvd.intro 0.000798 s: dvd_zero 0.000025 s: nat.semiring 0.000184 s: dvd_refl 0.000040 s: nat.monoid 0.000852 s: nat.mod_zero 0.001505 s: nat.gcd._main._pack.equations._eqn_2 0.000054 s: nat.gcd._main.equations._eqn_2 0.000031 s: nat.gcd.equations._eqn_2 0.000386 s: nat.gcd_zero_right 0.000423 s: nat.gcd_rec 0.000382 s: nat.dvd_add 0.000549 s: nat.mul_pred_left 0.000864 s: nat.mul_sub_right_distrib 0.000296 s: nat.mul_sub_left_distrib 0.000223 s: nat.add_sub_cancel_left 0.000716 s: nat.dvd_add_iff_right 0.000103 s: nat.dvd_add_iff_left 0.000460 s: nat.dvd_trans 0.000071 s: nat.dvd_mul_right 0.000032 s: decidable.em 0.000353 s: nat.add_sub_assoc 0.001485 s: nat.mod_add_div 0.000151 s: nat.dvd_mod_iff 0.003823 s: nat.gcd_dvd 0.000036 s: nat.gcd_dvd_right 0.000033 s: nat.gcd_pos_of_pos_right 0.000670 s: nat.le_of_dvd 0.000621 s: int.nat_abs_eq 0.000095 s: int.sub_nat_nat._match_1 0.000019 s: int.sub_nat_nat 0.000061 s: int.add._main 0.000007 s: int.add 0.000046 s: int.has_add 0.000100 s: int.of_nat_add_of_nat 0.000082 s: int.no_confusion_type 0.000153 s: int.no_confusion 0.000110 s: int.of_nat.inj 0.000069 s: int.of_nat.inj_eq 0.000130 s: int.of_nat_add_neg_succ_of_nat 0.000160 s: decidable.le_or_lt 0.000066 s: int.sub_nat_nat.equations._eqn_1 0.000058 s: int.sub_nat_nat._match_1.equations._eqn_1 0.000202 s: int.sub_nat_nat_of_sub_eq_zero 0.000073 s: int.sub_nat_nat_of_le 0.000061 s: nat.le_add_left 0.000068 s: int.sub_nat_nat._match_1.equations._eqn_2 0.000286 s: int.sub_nat_nat_of_sub_eq_succ 0.000270 s: nat.succ_pred_eq_of_pos 0.000111 s: nat.lt_of_add_lt_add_left 0.000102 s: nat.lt_of_add_lt_add_right 0.000389 s: nat.add_sub_of_le 0.000132 s: nat.sub_add_cancel 0.000452 s: nat.sub_pos_of_lt 0.000140 s: int.sub_nat_nat_of_lt 0.000198 s: nat.sub_eq_iff_eq_add 0.000656 s: nat.lt_of_sub_eq_succ 0.001156 s: int.sub_nat_nat_elim 0.000176 s: int.sub_nat_nat_add_left 0.000318 s: int.sub_nat_nat_add_right 0.000808 s: int.sub_nat_nat_add_add 0.001032 s: int.sub_nat_nat_add 0.000573 s: int.add_assoc_aux1 0.000243 s: int.neg_succ_of_nat_add_neg_succ_of_nat 0.000093 s: int.neg_succ_of_nat.inj 0.000161 s: int.neg_succ_of_nat.inj_eq 0.001267 s: int.add_comm 0.000123 s: int.neg_succ_of_nat_add_of_nat 0.000199 s: int.sub_nat_nat_sub 0.000425 s: nat.succ_sub 0.001481 s: int.sub_nat_nat_add_neg_succ_of_nat 0.000508 s: int.add_assoc_aux2 0.002075 s: int.add_assoc 0.000327 s: int.add_zero 0.000047 s: int.zero_add 0.000158 s: sub_neg_monoid.nsmul._default 0.000091 s: add_group.nsmul._default 0.000085 s: add_comm_group.nsmul._default 0.000085 s: ring.nsmul._default 0.000124 s: int.comm_ring._proof_1 0.000121 s: int.comm_ring._proof_2 0.000022 s: int.sub 0.000051 s: int.comm_ring._proof_3 0.000076 s: int.neg_of_nat_of_succ 0.000441 s: nat.sub_self 0.000057 s: int.of_nat_zero 0.000329 s: int.sub_nat_self 0.000131 s: int.neg_neg_of_nat_succ 0.000638 s: int.add_left_neg 0.000079 s: int.mul._main 0.000007 s: int.mul 0.000014 s: int.has_mul 0.000067 s: int.of_nat_mul_of_nat 0.000156 s: int.of_nat_mul_neg_succ_of_nat 0.000066 s: int.neg_of_nat._main.equations._eqn_2 0.000023 s: int.neg_of_nat.equations._eqn_2 0.000445 s: int.of_nat_mul_neg_of_nat 0.000114 s: int.neg_succ_of_nat_of_nat 0.000086 s: int.mul_neg_succ_of_nat_neg_succ_of_nat 0.000700 s: int.mul_comm 0.000314 s: int.neg_of_nat_mul_of_nat 0.000535 s: int.neg_succ_of_nat_mul_neg_of_nat 0.000302 s: int.neg_of_nat_mul_neg_succ_of_nat 0.001748 s: int.mul_assoc 0.000016 s: int.one 0.000018 s: int.has_one 0.000599 s: int.one_mul 0.000130 s: int.mul_one 0.000167 s: ring.npow._default 0.000110 s: int.comm_ring._proof_4 0.000075 s: int.comm_ring._proof_5 0.000269 s: int.mul_zero 0.000074 s: int.zero_mul 0.001809 s: int.of_nat_mul_sub_nat_nat 0.000434 s: int.neg_of_nat_eq_sub_nat_nat_zero 0.001146 s: int.neg_of_nat_add 0.001752 s: int.neg_succ_of_nat_mul_sub_nat_nat 0.003485 s: int.distrib_left 0.000431 s: int.distrib_right 0.003265 s: int.comm_ring 0.000033 s: int.monoid 0.000042 s: int.of_nat.inj_arrow 0.000034 s: int.neg_succ_of_nat.inj_arrow 0.000694 s: int.decidable_eq 0.000025 s: int.nonneg 0.000034 s: int.has_sub 0.000016 s: int.le 0.000030 s: int.has_le 0.000028 s: int.lt 0.000277 s: int.le.intro_sub 0.000121 s: int.sub_eq_add_neg 0.000105 s: int.add_right_neg 0.000516 s: int.le.intro 0.000088 s: int.le_refl 0.000238 s: int.nonneg.elim 0.000111 s: int.le.dest_sub 0.000636 s: int.le.dest 0.000120 s: int.le.elim 0.000535 s: int.le_trans 0.000020 s: int.has_lt 0.000879 s: int.lt.dest 0.000185 s: int.lt.elim 0.000106 s: int.le_of_lt 0.000156 s: int.coe_nat_inj 0.000392 s: int.add_left_cancel 0.000336 s: int.lt_irrefl 0.000082 s: int.ne_of_lt 0.000132 s: int.coe_nat_eq 0.000253 s: int.add_left_comm 0.000698 s: int.lt_add_succ 0.000074 s: int.lt.intro 0.000087 s: int.coe_nat_zero 0.000487 s: int.lt_iff_le_and_ne 0.000267 s: int.coe_nat_add 0.000673 s: int.le_antisymm 0.000627 s: int.lt_iff_le_not_le 0.000541 s: int.neg_add 0.000636 s: int.neg_neg 0.000141 s: int.nonneg_or_nonneg_neg 0.000501 s: int.le_total 0.000070 s: int.decidable_nonneg 0.000084 s: int.decidable_le 0.000133 s: int.decidable_lt 0.000575 s: int.linear_order 0.000168 s: int.add_le_add_left 0.000387 s: int.zero_lt_one 0.002343 s: int.linear_ordered_comm_ring._proof_1 0.000246 s: int.coe_nat_mul 0.000812 s: int.mul_pos 0.000533 s: linear_order.decidable_eq 0.000103 s: int.zero_ne_one 0.000039 s: int.nontrivial 0.004513 s: int.linear_ordered_comm_ring 0.000024 s: int.linear_ordered_add_comm_group 0.000020 s: int.semiring 0.001043 s: int.div_zero 0.000021 s: int.ring 0.000016 s: int.comm_monoid 0.000049 s: int.comm_semigroup 0.000087 s: int.add_monoid 0.001234 s: int.zero_div 0.000730 s: nat.div_zero 0.007481 s: int.div_neg 0.001325 s: neg_add 0.000420 s: neg_mul_neg 0.000387 s: eq_sub_of_add_eq 0.000796 s: int.eq_succ_of_zero_lt 0.000405 s: nat.add_div_right 0.000586 s: nat.add_mul_div_left 0.000136 s: nat.add_mul_div_right 0.001549 s: int.of_nat_sub 0.000272 s: int.coe_nat_sub 0.000799 s: nat.div_lt_iff_lt_mul 0.005981 s: ordered_comm_monoid 0.001018 s: ordered_comm_monoid.mul 0.001073 s: ordered_comm_monoid.mul_assoc 0.001081 s: ordered_comm_monoid.one 0.001787 s: ordered_comm_monoid.one_mul 0.001850 s: ordered_comm_monoid.mul_one 0.001826 s: ordered_comm_monoid.npow 0.001643 s: ordered_comm_monoid.npow_zero' 0.001407 s: ordered_comm_monoid.npow_succ' 0.001184 s: ordered_comm_monoid.mul_comm 0.000229 s: ordered_comm_monoid.to_comm_monoid 0.006268 s: linear_ordered_comm_monoid 0.001300 s: linear_ordered_comm_monoid.mul 0.001589 s: linear_ordered_comm_monoid.mul_assoc 0.001341 s: linear_ordered_comm_monoid.one 0.001333 s: linear_ordered_comm_monoid.one_mul 0.001360 s: linear_ordered_comm_monoid.mul_one 0.001008 s: linear_ordered_comm_monoid.npow 0.001420 s: linear_ordered_comm_monoid.npow_zero' 0.001435 s: linear_ordered_comm_monoid.npow_succ' 0.001097 s: linear_ordered_comm_monoid.mul_comm 0.000864 s: linear_ordered_comm_monoid.le 0.000794 s: linear_ordered_comm_monoid.lt 0.000991 s: linear_ordered_comm_monoid.le_refl 0.001125 s: linear_ordered_comm_monoid.le_trans 0.001193 s: linear_ordered_comm_monoid.lt_iff_le_not_le 0.001599 s: linear_ordered_comm_monoid.le_antisymm 0.003847 s: linear_ordered_comm_monoid.mul_le_mul_left 0.003900 s: linear_ordered_comm_monoid.lt_of_mul_lt_mul_left 0.000852 s: linear_ordered_comm_monoid.to_ordered_comm_monoid 0.001157 s: ordered_comm_monoid.le 0.001077 s: ordered_comm_monoid.lt 0.001333 s: ordered_comm_monoid.le_refl 0.001358 s: ordered_comm_monoid.le_trans 0.001949 s: ordered_comm_monoid.lt_iff_le_not_le 0.002289 s: ordered_comm_monoid.le_antisymm 0.000245 s: ordered_comm_monoid.to_partial_order 0.010851 s: linear_ordered_comm_monoid_with_zero 0.002251 s: linear_ordered_comm_monoid_with_zero.le 0.002027 s: linear_ordered_comm_monoid_with_zero.lt 0.002064 s: linear_ordered_comm_monoid_with_zero.le_refl 0.001856 s: linear_ordered_comm_monoid_with_zero.le_trans 0.001897 s: linear_ordered_comm_monoid_with_zero.lt_iff_le_not_le 0.002463 s: linear_ordered_comm_monoid_with_zero.le_antisymm 0.003531 s: linear_ordered_comm_monoid_with_zero.le_total 0.003047 s: linear_ordered_comm_monoid_with_zero.decidable_le 0.001738 s: linear_ordered_comm_monoid_with_zero.decidable_eq 0.002291 s: linear_ordered_comm_monoid_with_zero.decidable_lt 0.001661 s: linear_ordered_comm_monoid_with_zero.mul 0.002097 s: linear_ordered_comm_monoid_with_zero.mul_assoc 0.002435 s: linear_ordered_comm_monoid_with_zero.one 0.002207 s: linear_ordered_comm_monoid_with_zero.one_mul 0.003430 s: linear_ordered_comm_monoid_with_zero.mul_one 0.003158 s: linear_ordered_comm_monoid_with_zero.npow 0.002524 s: linear_ordered_comm_monoid_with_zero.npow_zero' 0.002499 s: linear_ordered_comm_monoid_with_zero.npow_succ' 0.001840 s: linear_ordered_comm_monoid_with_zero.mul_comm 0.005192 s: linear_ordered_comm_monoid_with_zero.mul_le_mul_left 0.005767 s: linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left 0.001144 s: linear_ordered_comm_monoid_with_zero.to_linear_ordered_comm_monoid 0.000348 s: comm_semiring.to_comm_monoid 0.000066 s: comm_semiring.to_comm_monoid_with_zero._proof_1 0.000100 s: comm_semiring.to_comm_monoid_with_zero._proof_2 0.000080 s: comm_semiring.to_comm_monoid_with_zero._proof_3 0.000370 s: comm_semiring.to_comm_monoid_with_zero._proof_4 0.000240 s: comm_semiring.to_comm_monoid_with_zero._proof_5 0.000082 s: comm_semiring.to_comm_monoid_with_zero._proof_6 0.000068 s: comm_semiring.to_comm_monoid_with_zero._proof_7 0.000052 s: comm_semiring.to_comm_monoid_with_zero._proof_8 0.001121 s: comm_semiring.to_comm_monoid_with_zero 0.000112 s: nat.linear_ordered_comm_monoid_with_zero._proof_1 0.001138 s: nat.linear_ordered_comm_monoid_with_zero._proof_2 0.000277 s: decidable_eq_of_decidable_le._main 0.000073 s: decidable_eq_of_decidable_le 0.000214 s: decidable_lt_of_decidable_le._main 0.000078 s: decidable_lt_of_decidable_le 0.000108 s: le_of_not_lt 0.002615 s: linear_ordered_comm_monoid.lt_of_mul_lt_mul_left._default 0.002596 s: nat.linear_ordered_comm_monoid_with_zero._proof_3 0.006616 s: nat.linear_ordered_comm_monoid_with_zero 0.000030 s: nat.comm_monoid 0.000014 s: nat.comm_semigroup 0.001028 s: nat.div_eq_of_lt_le 0.000619 s: nat.sub_le_sub_left 0.000681 s: nat.div_mul_le_self 0.001293 s: nat.mul_sub_div 0.001799 s: sub_sub 0.000489 s: int.neg_succ_of_nat_coe' 0.001437 s: nat.sub_mul_div 0.074485 s: int.add_mul_div_right 0.007783 s: int.mul_div_cancel 0.000617 s: int.mul_div_cancel_left 0.004969 s: int.neg_div_of_dvd 0.000066 s: int.of_nat_eq_of_nat_iff 0.000159 s: int.coe_nat_eq_coe_nat_iff 0.000062 s: int.coe_nat_inj' 0.000143 s: int.coe_nat_eq_zero 0.000147 s: int.neg_zero 0.000463 s: int.eq_coe_of_zero_le 0.005629 s: nonneg_of_mul_nonneg_left 0.000157 s: int.le_of_coe_nat_le_coe_nat 0.000699 s: int.coe_nat_le_coe_nat_of_le 0.000059 s: int.coe_nat_le_coe_nat_iff 0.000063 s: int.coe_nat_le 0.000257 s: int.coe_nat_nonneg 0.000116 s: int.lt_iff_add_one_le 0.000330 s: int.coe_nat_succ 0.000259 s: int.coe_nat_lt_coe_nat_iff 0.000066 s: int.coe_nat_lt 0.000169 s: int.coe_nat_pos 0.010174 s: int.coe_nat_dvd 0.000042 s: nat.gcd_dvd_left 0.000578 s: int.nat_abs_neg 0.000072 s: nat.coprime_iff_gcd_eq_one 0.000565 s: nat.le_of_mul_le_mul_left 0.000344 s: nat.eq_of_mul_eq_mul_left 0.001380 s: nat.eq_of_mul_eq_mul_right 0.000166 s: nat.add_mod_right 0.001573 s: nat.add_mul_mod_self_left 0.000190 s: nat.mul_mod_right 0.000205 s: nat.mod_eq_zero_of_dvd 0.000132 s: nat.mul_div_cancel' 0.000142 s: nat.div_mul_cancel 0.000301 s: nat.dvd_gcd 0.001228 s: nat.mul_mod_mul_left 0.002107 s: nat.gcd_mul_left 0.001105 s: nat.gcd_mul_right 0.000518 s: nat.gcd_div 0.000422 s: nat.zero_div 0.000180 s: nat.div_self 0.000309 s: nat.coprime_div_gcd_div_gcd 0.004859 s: rat.mk_pnat._main 0.000021 s: rat.mk_pnat 0.002550 s: rat.add._main 0.000010 s: rat.add 0.000016 s: rat.has_add 0.000018 s: nat.one_pos 0.000498 s: nat.dvd_antisymm 0.000062 s: nat.gcd_comm 0.000154 s: nat.eq_zero_of_le_zero 0.000125 s: nat.mod_one 0.000320 s: nat.gcd_one_left 0.000064 s: nat.gcd_one_right 0.000033 s: nat.coprime_one_right 0.000017 s: rat.of_int._proof_1 0.000020 s: rat.of_int 0.000014 s: rat.has_zero 0.000087 s: rat.mk_nat 0.000029 s: nat.succ_pnat 0.000041 s: rat.mk._main 0.000007 s: rat.mk 0.000034 s: rat.num 0.000045 s: rat.denom 0.001989 s: rat.mk_pnat._main._proof_1 0.000160 s: nat.div_one 0.000688 s: rat.mk_pnat._main._proof_2 0.000701 s: int.div_one 0.000101 s: rat.mk_nat.equations._eqn_1 0.000354 s: rat.mk_pnat._main.equations._eqn_1 0.000158 s: rat.mk_pnat.equations._eqn_1 0.000067 s: rat.no_confusion_type 0.000160 s: rat.no_confusion 0.000123 s: rat.mk'.inj 0.000557 s: rat.mk'.inj_eq 0.003733 s: rat.num_denom 0.000118 s: rat.num_denom' 0.000313 s: rat.num_denom_cases_on._main 0.000089 s: rat.num_denom_cases_on 0.000111 s: has_lt.lt.ne' 0.000315 s: rat.num_denom_cases_on'._proof_1 0.000095 s: rat.num_denom_cases_on' 0.000171 s: int.of_nat_eq_coe 0.000178 s: rat.mk._main.equations._eqn_1 0.000039 s: rat.mk.equations._eqn_1 0.000237 s: rat.mk._main.equations._eqn_2 0.000037 s: rat.mk.equations._eqn_2 0.000053 s: nat.succ_pnat.equations._eqn_1 0.000014 s: int.distrib 0.000134 s: eq_neg_iff_add_eq_zero 0.000481 s: neg_add_eq_iff_eq_add 0.000331 s: eq_neg_of_eq_neg 0.000074 s: eq_neg_iff_eq_neg 0.000320 s: add_eq_zero_iff_neg_eq 0.000132 s: neg_eq_iff_add_eq_zero 0.000072 s: iff_eq_true_of_eq 0.000040 s: int.add_comm_monoid 0.000028 s: int.add_comm_semigroup 0.000366 s: mul_right_cancel' 0.000132 s: domain.to_cancel_monoid_with_zero._proof_1 0.000129 s: domain.to_cancel_monoid_with_zero._proof_2 0.000079 s: domain.to_cancel_monoid_with_zero._proof_3 0.000179 s: domain.to_cancel_monoid_with_zero._proof_4 0.000218 s: domain.to_cancel_monoid_with_zero._proof_5 0.000105 s: domain.to_cancel_monoid_with_zero._proof_6 0.000063 s: domain.to_cancel_monoid_with_zero._proof_7 0.004036 s: domain.to_cancel_monoid_with_zero._proof_8 0.003415 s: domain.to_cancel_monoid_with_zero._proof_9 0.001599 s: domain.to_cancel_monoid_with_zero 0.000089 s: int.coe_nat_ne_zero 0.000061 s: int.mod._main 0.000007 s: int.mod 0.000015 s: int.has_mod 0.000522 s: int.mod_zero 0.000262 s: int.neg_succ_of_nat_coe 0.001471 s: sub_sub_self 0.005394 s: int.mod_add_div_aux 0.009450 s: int.mod_add_div 0.001896 s: int.mul_div_cancel_of_mod_eq_zero 0.000458 s: int.div_mul_cancel_of_mod_eq_zero 0.003110 s: int.mod_def 0.002203 s: sub_add_eq_sub_sub_swap 0.001217 s: add_sub_add_right_eq_sub 0.005815 s: int.add_mul_mod_self 0.000166 s: int.zero_mod 0.001385 s: int.mul_mod_left 0.000542 s: int.mul_mod_right 0.000739 s: int.mod_eq_zero_of_dvd 0.000054 s: int.div_mul_cancel 0.000445 s: int.mul_div_cancel' 0.000134 s: int.eq_mul_of_div_eq_right 0.000369 s: int.eq_mul_of_div_eq_left 0.000139 s: dvd.elim 0.000124 s: dvd_mul_right 0.000509 s: dvd_mul_of_dvd_left 0.000611 s: dvd_mul_of_dvd_right 0.001226 s: dvd_neg_of_dvd 0.000205 s: dvd_of_dvd_neg 0.000215 s: dvd_neg_iff_dvd 0.001160 s: int.dvd_nat_abs 0.000079 s: _private.2111965705.gcd_abs_dvd_left 0.003074 s: int.mul_div_assoc 0.000143 s: nat.eq_mul_of_div_eq_right 0.001112 s: nat.eq_mul_of_div_eq_left 0.000212 s: nat.mul_div_cancel 0.000626 s: nat.mul_div_assoc 0.000538 s: dvd_mul_left 0.000039 s: nat.coprime.gcd_eq_one 0.002809 s: nat.coprime.dvd_of_dvd_mul_right 0.000895 s: nat.coprime.dvd_of_dvd_mul_left 0.000093 s: nat.coprime.symm 0.000100 s: int.mul_def 0.000078 s: int.mul._main.equations._eqn_1 0.000031 s: int.mul.equations._eqn_1 0.000037 s: int.nat_abs._main.equations._eqn_1 0.000020 s: int.nat_abs.equations._eqn_1 0.000169 s: int.mul._main.equations._eqn_2 0.000032 s: int.mul.equations._eqn_2 0.000097 s: int.nat_abs_neg_of_nat 0.000039 s: int.nat_abs._main.equations._eqn_2 0.000024 s: int.nat_abs.equations._eqn_2 0.000105 s: int.mul._main.equations._eqn_3 0.000034 s: int.mul.equations._eqn_3 0.000061 s: int.mul._main.equations._eqn_4 0.000031 s: int.mul.equations._eqn_4 0.001033 s: int.nat_abs_mul 0.000118 s: int.nat_abs_of_nat 0.000056 s: int.sign._main 0.000006 s: int.sign 0.001362 s: int.neg_eq_neg_one_mul 0.000881 s: int.sign_mul_nat_abs 0.000080 s: int.sign_zero 0.004243 s: int.sign_mul 0.000468 s: int.sign_eq_one_of_pos 0.029486 s: rat.mk_eq 0.003359 s: rat.lift_binop_eq 0.001005 s: rat.mk_pnat_eq 0.000263 s: mul_ne_zero_iff 0.000151 s: mul_ne_zero 0.035691 s: rat.add_def 0.000029 s: int.add_semigroup 0.034169 s: rat.add_assoc 0.000067 s: int.nat_abs_zero 0.015492 s: euclidean_domain 0.002675 s: euclidean_domain.add 0.002887 s: euclidean_domain.add_assoc 0.002088 s: euclidean_domain.zero 0.002457 s: euclidean_domain.zero_add 0.002216 s: euclidean_domain.add_zero 0.001943 s: euclidean_domain.nsmul 0.002653 s: euclidean_domain.nsmul_zero' 0.002978 s: euclidean_domain.nsmul_succ' 0.001976 s: euclidean_domain.neg 0.001712 s: euclidean_domain.sub 0.004289 s: euclidean_domain.sub_eq_add_neg 0.009350 s: euclidean_domain.add_left_neg 0.003236 s: euclidean_domain.add_comm 0.001991 s: euclidean_domain.mul 0.002125 s: euclidean_domain.mul_assoc 0.002083 s: euclidean_domain.one 0.002852 s: euclidean_domain.one_mul 0.002403 s: euclidean_domain.mul_one 0.001937 s: euclidean_domain.npow 0.002709 s: euclidean_domain.npow_zero' 0.002646 s: euclidean_domain.npow_succ' 0.002212 s: euclidean_domain.left_distrib 0.002285 s: euclidean_domain.right_distrib 0.002469 s: euclidean_domain.mul_comm 0.000818 s: euclidean_domain.to_comm_ring 0.000613 s: int.div_add_mod 0.000070 s: int.euclidean_domain._proof_1 0.000026 s: int.euclidean_domain._proof_2 0.000611 s: int.nat_abs_of_nonneg 0.000114 s: int.coe_zero_le 0.006847 s: sub_le_sub_iff_left 0.000771 s: sub_nonneg 0.000195 s: sub_nonneg_of_le 0.000290 s: int.eq_zero_of_nat_abs_eq_zero 0.000054 s: int.nat_abs_pos_of_ne_zero 0.005989 s: int.mod_nonneg 0.002249 s: linear_ordered_add_comm_group.le 0.002045 s: linear_ordered_add_comm_group.lt 0.002882 s: linear_ordered_add_comm_group.le_refl 0.002233 s: linear_ordered_add_comm_group.le_trans 0.002230 s: linear_ordered_add_comm_group.lt_iff_le_not_le 0.002571 s: linear_ordered_add_comm_group.le_antisymm 0.002680 s: linear_ordered_add_comm_group.le_total 0.002639 s: linear_ordered_add_comm_group.decidable_le 0.001581 s: linear_ordered_add_comm_group.decidable_eq 0.002280 s: linear_ordered_add_comm_group.decidable_lt 0.000276 s: linear_ordered_add_comm_group.to_linear_order 0.000092 s: abs 0.015694 s: linear_ordered_add_comm_group.add_le_add_left 0.005287 s: linear_ordered_add_comm_group.to_ordered_add_comm_group 0.000492 s: eq_max 0.000332 s: max_eq_left 0.000637 s: neg_nonpos 0.016066 s: abs_of_nonneg 0.000272 s: max_comm 0.000267 s: max_eq_right 0.013696 s: abs_of_nonpos 0.000867 s: int.neg_succ_lt_zero 0.005434 s: int.abs_eq_nat_abs 0.000210 s: is_total 0.000049 s: is_total.total 0.000785 s: sup_eq_right 0.000779 s: sup_eq_left 0.000383 s: sup_ind 0.000125 s: has_le.le.is_total 0.002573 s: abs_by_cases 0.000843 s: int.mod_neg 0.001242 s: int.mod_abs 0.000078 s: int.coe_nat_lt_coe_nat_of_lt 0.000480 s: add_lt_iff_neg_left 0.000374 s: pos_of_neg_neg 0.000192 s: neg_neg_of_pos 0.000223 s: neg_neg_iff_pos 0.005770 s: sub_lt_self_iff 0.000160 s: sub_lt_self 0.005967 s: int.mod_lt_of_pos 0.000216 s: abs_of_neg 0.000508 s: neg_pos 0.000176 s: abs_zero 0.000205 s: lt_self_iff_false 0.000164 s: abs_of_pos 0.015660 s: abs_pos 0.002764 s: int.mod_lt 0.004588 s: int.euclidean_domain._proof_3 0.008337 s: int.euclidean_domain._proof_4 0.005997 s: int.euclidean_domain 0.002757 s: euclidean_domain.quotient 0.000031 s: euclidean_domain.has_div 0.019259 s: euclidean_domain.quotient_zero 0.000882 s: euclidean_domain.div_zero 0.003645 s: euclidean_domain.r 0.002381 s: euclidean_domain.remainder 0.000057 s: euclidean_domain.has_mod 0.000558 s: add_neg_eq_iff_eq_add 0.000623 s: sub_eq_iff_eq_add 0.001765 s: sub_eq_iff_eq_add' 0.020042 s: euclidean_domain.quotient_mul_add_remainder_eq 0.000905 s: euclidean_domain.div_add_mod 0.013943 s: euclidean_domain.mul_left_not_lt 0.014933 s: euclidean_domain.remainder_lt 0.000707 s: euclidean_domain.mod_lt 0.005993 s: euclidean_domain.mul_div_cancel_left 0.001410 s: euclidean_domain.mul_div_cancel 0.001591 s: euclidean_domain.zero_div 0.006993 s: rat.zero_mk_pnat 0.000096 s: dite_eq_ite 0.001650 s: rat.zero_mk_nat 0.003506 s: rat.zero_mk 0.000226 s: rat.mk_zero 0.000020 s: int.semigroup 0.032969 s: rat.div_mk_div_cancel_left 0.006769 s: rat.zero_add 0.002211 s: rat.add_zero 0.000123 s: comm_ring.nsmul._default 0.000106 s: rat.field._proof_1 0.000151 s: rat.field._proof_2 0.000116 s: rat.pos 0.000058 s: rat.cop 0.000123 s: rat.neg._proof_1 0.000026 s: rat.neg 0.000524 s: sub_neg_monoid.sub._default 0.000429 s: add_group.sub._default 0.000444 s: add_comm_group.sub._default 0.000474 s: ring.sub._default 0.000463 s: comm_ring.sub._default 0.000128 s: rat.field._proof_3 0.000109 s: rat.field._proof_4 0.001277 s: rat.field._proof_5 0.000019 s: rat.has_neg 0.002497 s: rat.neg_def 0.004809 s: rat.add_left_neg 0.000093 s: comm_semigroup.to_is_commutative 0.001909 s: rat.add_comm 0.002611 s: rat.mul._main 0.000010 s: rat.mul 0.000013 s: rat.has_mul 0.035274 s: rat.mul_def 0.033191 s: rat.mul_assoc 0.000027 s: rat.has_one 0.010384 s: rat.one_mul 0.007960 s: rat.mul_one 0.000187 s: comm_ring.npow._default 0.000173 s: rat.field._proof_6 0.000147 s: rat.field._proof_7 0.002438 s: rat.mul_comm 0.032967 s: rat.add_mul 0.003346 s: rat.mul_add 0.000992 s: rat.inv._main 0.000010 s: rat.inv 0.000167 s: rat.field._proof_8 0.000103 s: rat.field._proof_9 0.001201 s: rat.field._proof_10 0.000207 s: rat.mk'.inj_arrow 0.006597 s: rat.mk_eq_zero 0.009004 s: rat.zero_ne_one 0.000045 s: rat.field._proof_11 0.000015 s: rat.has_inv 0.000068 s: rat.inv._main._proof_1 0.000616 s: rat.inv._main.equations._eqn_2 0.000318 s: rat.inv.equations._eqn_2 0.000631 s: rat.inv._main._proof_2 0.000335 s: rat.inv._main.equations._eqn_3 0.000180 s: rat.inv.equations._eqn_3 0.013118 s: rat.inv_def 0.007436 s: rat.mul_inv_cancel 0.006579 s: rat.field._proof_12 0.008366 s: rat.field 0.000089 s: rat.nonneg 0.000049 s: rat.division_ring 0.000023 s: rat.add_comm_group 0.000014 s: rat.add_group 0.000045 s: rat.le 0.000029 s: partial_order.lt._default 0.000027 s: rat.has_le 0.004506 s: rat.le_refl 0.000034 s: rat.add_comm_monoid 0.000017 s: rat.add_comm_semigroup 0.000040 s: add_semiconj_by 0.000037 s: add_commute 0.000101 s: add_commute.eq 0.001314 s: add_commute.add_neg_cancel 0.000625 s: add_commute.add_neg_cancel_assoc 0.000074 s: add_commute.all 0.001022 s: add_neg_cancel_comm_assoc 0.000069 s: rat.nonneg.equations._eqn_1 0.005258 s: nonneg_of_mul_nonneg_right 0.001816 s: mul_nonneg 0.086966 s: rat.mk_nonneg 0.000410 s: le_add_of_nonneg_of_le 0.000214 s: add_nonneg 0.017862 s: rat.nonneg_add 0.007253 s: rat.le_trans 0.000037 s: rat.linear_order._proof_1 0.004610 s: rat.nonneg_antisymm 0.004696 s: rat.le_antisymm 0.007638 s: neg_le_neg 0.000434 s: neg_nonneg_of_nonpos 0.008154 s: rat.nonneg_total 0.003311 s: rat.le_total 0.000130 s: rat.decidable_nonneg._proof_1 0.000105 s: rat.decidable_nonneg 0.000061 s: rat.decidable_eq._proof_1 0.000172 s: rat.decidable_eq._proof_2 0.000125 s: rat.decidable_eq._proof_3 0.001325 s: rat.decidable_eq 0.000043 s: rat.linear_order._proof_2 0.003038 s: rat.linear_order 0.000049 s: rat.le.equations._eqn_1 0.001981 s: add_sub_add_left_eq_sub 0.003275 s: rat.add_le_add_left 0.000413 s: rat.linear_ordered_field._proof_1 0.001051 s: rat.decidable_le._main 0.000028 s: rat.decidable_le 0.005435 s: rat.linear_ordered_field._proof_2 0.000021 s: rat.lattice 0.000035 s: rat.semilattice_inf 0.000013 s: rat.partial_order 0.000583 s: sub_zero 0.001777 s: rat.nonneg_iff_zero_le 0.007648 s: rat.nonneg_mul 0.000192 s: rat.mul_nonneg 0.000018 s: rat.preorder 0.000016 s: rat.semiring 0.006552 s: division_ring.to_domain._proof_1 0.002003 s: division_ring.to_domain 0.048087 s: rat.linear_ordered_field._proof_3 0.009623 s: rat.linear_ordered_field 0.000182 s: field.to_euclidean_domain._proof_1 0.001726 s: mul_div_cancel' 0.075173 s: field.to_euclidean_domain._proof_2 0.000423 s: field.to_euclidean_domain._match_1 0.005739 s: field.to_euclidean_domain._match_2 0.000262 s: field.to_euclidean_domain._proof_3 0.036617 s: field.to_euclidean_domain._proof_4 0.097899 s: field.to_euclidean_domain._match_3 0.019449 s: field.to_euclidean_domain._proof_5 0.028143 s: field.to_euclidean_domain 0.000068 s: rat.comm_ring 0.000017 s: rat.linear_ordered_comm_ring 0.000014 s: rat.linear_ordered_ring 0.000089 s: rat.linear_ordered_add_comm_group 0.005405 s: le_abs_self 0.002995 s: neg_le_abs_self 0.014999 s: abs_nonneg 0.000063 s: iff_def' 0.000050 s: decidable.not_imp_not 0.000271 s: decidable.not_iff_not 0.000041 s: not_iff_not 0.000086 s: ne_comm 0.000180 s: has_le.le.lt_iff_ne 0.002052 s: abs_eq_zero 0.001716 s: max_le_iff 0.002286 s: abs_le' 0.000211 s: neg_le 0.011684 s: abs_le 0.022138 s: abs_add 0.000188 s: neg_eq_iff_neg_eq 0.000097 s: abs.equations._eqn_1 0.001881 s: abs_neg 0.002067 s: abs_eq 0.052128 s: abs_mul 0.022979 s: abs_is_absolute_value 0.311995 s: real 0.080760 s: real.cases_on 0.007407 s: cau_seq.pos 0.000257 s: cau_seq.has_lt 0.000336 s: sub_neg_eq_add 0.000440 s: sub_sub_sub_cancel_right 0.003987 s: sub_self_div_two 0.000070 s: has_le.le.trans_lt 0.000455 s: sup_lt_iff 0.002831 s: max_lt_iff 0.000292 s: neg_lt 0.016877 s: abs_lt 0.062870 s: cau_seq.pos_add_lim_zero 0.007981 s: cau_seq.lt_of_eq_of_lt 0.002964 s: cau_seq.lt_of_lt_of_eq 0.084317 s: _private.3981297311.lt._main 0.000016 s: _private.3981297311.lt 0.000018 s: real.has_lt 0.000033 s: _private.1680458781.le 0.000017 s: real.has_le 0.000224 s: cau_seq.completion.mk 0.000202 s: cau_seq.completion.of_rat 0.000180 s: cau_seq.completion.Cauchy.has_zero 0.079313 s: _private.4025661507.zero 0.000026 s: real.has_zero 0.000029 s: nnreal 0.000012 s: ennreal 0.000236 s: has_edist 0.000046 s: has_edist.edist 0.010171 s: canonically_ordered_comm_semiring.mul 0.002982 s: canonically_ordered_comm_semiring.mul_assoc 0.002462 s: canonically_ordered_comm_semiring.one 0.002714 s: canonically_ordered_comm_semiring.one_mul 0.002610 s: canonically_ordered_comm_semiring.mul_one 0.002692 s: canonically_ordered_comm_semiring.npow 0.003073 s: canonically_ordered_comm_semiring.npow_zero' 0.003035 s: canonically_ordered_comm_semiring.npow_succ' 0.002535 s: canonically_ordered_comm_semiring.zero_mul 0.002390 s: canonically_ordered_comm_semiring.mul_zero 0.002556 s: canonically_ordered_comm_semiring.left_distrib 0.002381 s: canonically_ordered_comm_semiring.right_distrib 0.002306 s: canonically_ordered_comm_semiring.mul_comm 0.000639 s: canonically_ordered_comm_semiring.to_comm_semiring 0.000135 s: option.bind._main 0.000058 s: option.bind 0.000101 s: option.map 0.000063 s: with_top.has_add 0.000009 s: additive 0.000009 s: with_zero 0.000040 s: additive.of_mul._proof_1 0.000032 s: additive.of_mul._proof_2 0.000126 s: additive.of_mul 0.000031 s: additive.to_mul 0.000150 s: additive.has_add 0.000929 s: additive.add_semigroup 0.000177 s: additive.add_monoid._proof_1 0.000104 s: additive.has_zero 0.000096 s: additive.add_zero_class._proof_1 0.000082 s: additive.add_zero_class._proof_2 0.001037 s: additive.add_zero_class 0.000084 s: additive.add_monoid._proof_2 0.000073 s: additive.add_monoid._proof_3 0.000361 s: additive.add_monoid._proof_4 0.000250 s: additive.add_monoid._proof_5 0.002035 s: additive.add_monoid 0.000131 s: additive.add_comm_monoid._proof_1 0.000127 s: additive.add_comm_monoid._proof_2 0.000095 s: additive.add_comm_monoid._proof_3 0.000385 s: additive.add_comm_monoid._proof_4 0.000298 s: additive.add_comm_monoid._proof_5 0.000133 s: additive.add_comm_semigroup._proof_1 0.000088 s: additive.add_comm_semigroup._proof_2 0.001149 s: additive.add_comm_semigroup 0.000117 s: additive.add_comm_monoid._proof_6 0.001246 s: additive.add_comm_monoid 0.000056 s: with_zero.has_coe_t 0.000074 s: with_zero.has_one 0.000036 s: with_zero.has_zero 0.000167 s: with_zero.mul_zero_class._proof_1 0.000540 s: with_zero.mul_zero_class._proof_2 0.000191 s: with_zero.mul_zero_class 0.000739 s: with_zero.mul_zero_one_class._match_1 0.000104 s: with_zero.mul_zero_one_class._proof_1 0.000369 s: with_zero.mul_zero_one_class._match_2 0.000079 s: with_zero.mul_zero_one_class._proof_2 0.000074 s: with_zero.mul_zero_one_class._proof_3 0.000071 s: with_zero.mul_zero_one_class._proof_4 0.000200 s: with_zero.mul_zero_one_class 0.002525 s: with_zero.semigroup._match_1 0.000083 s: with_zero.semigroup._proof_1 0.000069 s: with_zero.semigroup 0.000072 s: with_zero.monoid_with_zero._proof_1 0.000109 s: with_zero.monoid_with_zero._proof_2 0.000103 s: with_zero.monoid_with_zero._proof_3 0.000059 s: with_zero.monoid_with_zero._proof_4 0.000087 s: with_zero.monoid_with_zero._proof_5 0.000166 s: with_zero.monoid_with_zero._proof_6 0.000131 s: with_zero.monoid_with_zero._proof_7 0.000079 s: with_zero.monoid_with_zero._proof_8 0.000068 s: with_zero.monoid_with_zero._proof_9 0.001680 s: with_zero.monoid_with_zero 0.000083 s: with_zero.comm_monoid_with_zero._proof_1 0.000076 s: with_zero.comm_monoid_with_zero._proof_2 0.000105 s: with_zero.comm_monoid_with_zero._proof_3 0.000246 s: with_zero.comm_monoid_with_zero._proof_4 0.000173 s: with_zero.comm_monoid_with_zero._proof_5 0.000074 s: with_zero.comm_semigroup._proof_1 0.000266 s: with_zero.mul_zero 0.001074 s: with_zero.comm_semigroup._match_1 0.000092 s: with_zero.comm_semigroup._proof_2 0.000145 s: with_zero.comm_semigroup 0.000237 s: with_zero.comm_monoid_with_zero._proof_6 0.000135 s: with_zero.comm_monoid_with_zero._proof_7 0.000171 s: with_zero.comm_monoid_with_zero._proof_8 0.001232 s: with_zero.comm_monoid_with_zero 0.000125 s: with_top.add_comm_monoid._proof_1 0.000033 s: with_top.has_coe_t 0.000039 s: with_top.has_zero 0.000099 s: with_top.add_comm_monoid._proof_2 0.000088 s: with_top.add_comm_monoid._proof_3 0.000218 s: with_top.add_comm_monoid._proof_4 0.000218 s: with_top.add_comm_monoid._proof_5 0.000118 s: with_top.add_comm_monoid._proof_6 0.003475 s: with_top.add_comm_monoid 0.000116 s: with_top.canonically_ordered_comm_semiring._proof_1 0.000081 s: with_top.canonically_ordered_comm_semiring._proof_2 0.000073 s: with_top.canonically_ordered_comm_semiring._proof_3 0.000302 s: with_top.canonically_ordered_comm_semiring._proof_4 0.000209 s: with_top.canonically_ordered_comm_semiring._proof_5 0.000146 s: with_top.canonically_ordered_comm_semiring._proof_6 0.000066 s: with_top.ordered_add_comm_monoid._proof_1 0.000060 s: with_top.ordered_add_comm_monoid._proof_2 0.000055 s: with_top.ordered_add_comm_monoid._proof_3 0.000174 s: with_top.ordered_add_comm_monoid._proof_4 0.000195 s: with_top.ordered_add_comm_monoid._proof_5 0.000082 s: with_top.ordered_add_comm_monoid._proof_6 0.000051 s: option.has_mem 0.000071 s: with_top.has_lt 0.000171 s: with_top.preorder._proof_1 0.000348 s: with_top.preorder._match_1 0.000504 s: with_top.preorder._match_2 0.000359 s: with_top.preorder._proof_2 0.000216 s: option.not_mem_none 0.000046 s: Exists.fst 0.000034 s: exists_prop_of_false 0.000034 s: exists_false_left 0.000060 s: exists_false 0.000070 s: option.mem_def 0.000096 s: option.some.inj 0.000105 s: option.some.inj_eq 0.000420 s: forall_eq' 0.000452 s: exists_eq_left' 0.000052 s: exists_eq' 0.000904 s: with_top.some_lt_none 0.001119 s: with_top.some_lt_some 0.005473 s: with_top.preorder._proof_3 0.000371 s: with_top.preorder 0.000062 s: with_top.partial_order._proof_1 0.000165 s: with_top.partial_order._proof_2 0.000440 s: with_top.partial_order._proof_3 0.001996 s: with_top.partial_order._proof_4 0.000461 s: with_top.partial_order 0.000092 s: with_top.ordered_add_comm_monoid._proof_7 0.000166 s: with_top.ordered_add_comm_monoid._proof_8 0.000195 s: with_top.ordered_add_comm_monoid._proof_9 0.000172 s: with_top.ordered_add_comm_monoid._proof_10 0.000148 s: has_top 0.000056 s: has_top.top 0.000040 s: with_top.has_top 0.002580 s: order_top 0.000620 s: order_top.top 0.000026 s: order_top.to_has_top 0.000049 s: with_top.order_top._proof_1 0.000116 s: with_top.order_top._proof_2 0.000119 s: with_top.order_top._proof_3 0.000308 s: with_top.order_top._proof_4 0.000267 s: with_top.order_top._proof_5 0.001022 s: with_top.order_top 0.000113 s: with_top.none_eq_top 0.000162 s: with_top.top_add 0.000727 s: order_top.le 0.000463 s: order_top.lt 0.000785 s: order_top.le_refl 0.000805 s: order_top.le_trans 0.000612 s: order_top.lt_iff_le_not_le 0.001092 s: order_top.le_antisymm 0.000186 s: order_top.to_partial_order 0.001212 s: order_top.le_top 0.000143 s: le_top 0.000087 s: top_unique 0.000156 s: top_le_iff 0.000269 s: with_top.add_top 0.000419 s: with_top.coe_ne_top 0.000247 s: with_top.top_ne_coe 0.000086 s: with_top.some_eq_coe 0.000185 s: option.some_inj 0.001125 s: with_top.coe_le_coe 0.000209 s: with_top.coe_eq_coe 0.002331 s: with_top.le_coe_iff 0.000281 s: with_top.coe_add 0.003911 s: with_top.ordered_add_comm_monoid._proof_11 0.000136 s: not_top_lt 0.002235 s: with_top.lt_iff_exists_coe 0.000253 s: exists_and_distrib_left 0.002712 s: with_top.add_eq_coe 0.000334 s: with_top.coe_lt_top 0.000373 s: with_top.coe_lt_coe 0.001764 s: with_top.coe_lt_iff 0.004444 s: with_top.ordered_add_comm_monoid._proof_12 0.002001 s: with_top.ordered_add_comm_monoid 0.000106 s: with_top.canonically_ordered_add_monoid._proof_1 0.000071 s: with_top.canonically_ordered_add_monoid._proof_2 0.000072 s: with_top.canonically_ordered_add_monoid._proof_3 0.000182 s: with_top.canonically_ordered_add_monoid._proof_4 0.000493 s: with_top.canonically_ordered_add_monoid._proof_5 0.000132 s: with_top.canonically_ordered_add_monoid._proof_6 0.000068 s: with_top.order_bot._proof_1 0.000258 s: with_top.order_bot._proof_2 0.000207 s: with_top.order_bot._proof_3 0.000237 s: with_top.order_bot._proof_4 0.000693 s: with_top.order_bot._proof_5 0.000727 s: with_top.order_bot 0.002006 s: canonically_ordered_add_monoid.bot 0.002674 s: canonically_ordered_add_monoid.bot_le 0.000280 s: canonically_ordered_add_monoid.to_order_bot 0.000104 s: with_top.canonically_ordered_add_monoid._proof_7 0.000118 s: with_top.canonically_ordered_add_monoid._proof_8 0.000245 s: with_top.canonically_ordered_add_monoid._proof_9 0.000268 s: with_top.canonically_ordered_add_monoid._proof_10 0.000966 s: with_top.canonically_ordered_add_monoid._proof_11 0.000726 s: with_top.canonically_ordered_add_monoid._proof_12 0.000424 s: with_top.canonically_ordered_add_monoid._proof_13 0.000039 s: iff_true 0.000032 s: true_iff 0.000190 s: with_zero.coe_inj 0.004243 s: with_top.canonically_ordered_add_monoid._match_2 0.011311 s: with_top.canonically_ordered_add_monoid._match_1 0.004777 s: with_top.canonically_ordered_add_monoid._proof_14 0.004992 s: with_top.canonically_ordered_add_monoid 0.000081 s: with_top.canonically_ordered_comm_semiring._proof_7 0.000107 s: with_top.canonically_ordered_comm_semiring._proof_8 0.000375 s: with_top.canonically_ordered_comm_semiring._proof_9 0.000215 s: with_top.canonically_ordered_comm_semiring._proof_10 0.000686 s: with_top.canonically_ordered_comm_semiring._proof_11 0.000752 s: with_top.canonically_ordered_comm_semiring._proof_12 0.000351 s: with_top.canonically_ordered_comm_semiring._proof_13 0.000738 s: with_top.canonically_ordered_comm_semiring._proof_14 0.000214 s: option.decidable_eq._match_1 0.000290 s: option.decidable_eq._main 0.000022 s: option.decidable_eq 0.000028 s: coe_option 0.000582 s: with_top.mul_zero_class._proof_1 0.000492 s: with_top.mul_zero_class._proof_2 0.001023 s: with_top.mul_zero_class 0.000590 s: with_top.mul_def 0.000347 s: with_top.top_ne_zero 0.000194 s: option.none_bind' 0.000102 s: option.some_bind' 0.001754 s: with_top.top_mul 0.000166 s: with_top.coe_eq_zero 0.000130 s: with_top.coe_zero 0.004661 s: with_top.no_zero_divisors 0.014664 s: canonically_ordered_comm_semiring.eq_zero_or_eq_zero_of_mul_eq_zero 0.000699 s: canonically_ordered_semiring.canonically_ordered_comm_semiring.to_no_zero_divisors 0.002358 s: with_top.mul_top 0.002067 s: with_top.coe_mul 0.007016 s: _private.3982486233.assoc 0.000191 s: with_top.canonically_ordered_comm_semiring._proof_15 0.000046 s: with_top.has_one 0.002386 s: _private.78475997.one_mul' 0.000239 s: with_top.canonically_ordered_comm_semiring._proof_16 0.000865 s: option.bind_comm 0.002880 s: _private.526960213.comm 0.000738 s: with_top.canonically_ordered_comm_semiring._proof_17 0.000184 s: comm_semiring.npow._default 0.000166 s: with_top.canonically_ordered_comm_semiring._proof_18 0.000647 s: with_top.canonically_ordered_comm_semiring._proof_19 0.001354 s: with_top.canonically_ordered_comm_semiring._proof_20 0.001213 s: with_top.canonically_ordered_comm_semiring._proof_21 0.000194 s: with_top.canonically_ordered_comm_semiring._proof_22 0.000218 s: with_top.canonically_ordered_comm_semiring._proof_23 0.000139 s: with_top.add_monoid._proof_1 0.000123 s: with_top.add_monoid._proof_2 0.000166 s: with_top.add_monoid._proof_3 0.000217 s: with_top.add_monoid._proof_4 0.000209 s: with_top.add_monoid._proof_5 0.002301 s: with_top.add_monoid 0.000241 s: le_add_of_le_of_nonneg 0.000751 s: add_eq_zero_iff' 0.000140 s: add_eq_zero_iff 0.002528 s: with_top.mul_coe 0.008839 s: _private.209073151.distrib' 0.002224 s: with_top.canonically_ordered_comm_semiring._proof_24 0.000187 s: with_top.canonically_ordered_comm_semiring._proof_25 0.000202 s: with_top.canonically_ordered_comm_semiring._proof_26 0.000981 s: with_top.canonically_ordered_comm_semiring._proof_27 0.017039 s: with_top.canonically_ordered_comm_semiring 0.000074 s: subtype.decidable_eq._proof_1 0.000128 s: subtype.no_confusion_type 0.000222 s: subtype.no_confusion 0.000229 s: subtype.mk.inj 0.000101 s: subtype.mk.inj_arrow 0.000160 s: subtype.decidable_eq._proof_2 0.002338 s: subtype.decidable_eq 0.000024 s: real.decidable_eq 0.011209 s: canonically_linear_ordered_add_monoid 0.002586 s: canonically_linear_ordered_add_monoid.add 0.005069 s: cau_seq.completion.Cauchy.has_add._proof_1 0.000705 s: cau_seq.completion.Cauchy.has_add 0.075927 s: _private.1733257311.add._main 0.000017 s: _private.1733257311.add 0.000018 s: real.has_add 0.000074 s: nnreal.real.has_coe 0.082689 s: _private.1733257311.add._main.equations._eqn_1 0.080758 s: _private.1733257311.add.equations._eqn_1 0.083876 s: real.add_cauchy 0.080063 s: real.no_confusion_type 0.080877 s: real.no_confusion 0.081049 s: real.of_cauchy.inj 0.084319 s: real.of_cauchy.inj_eq 0.000146 s: quotient.induction_on 0.000467 s: cau_seq.completion.mk_eq_mk 0.000594 s: cau_seq.completion.mk_add 0.009733 s: cau_seq.completion.Cauchy.comm_ring._proof_1 0.000530 s: _private.935358239.zero_def 0.003003 s: cau_seq.completion.Cauchy.comm_ring._proof_2 0.002907 s: cau_seq.completion.Cauchy.comm_ring._proof_3 0.000302 s: cau_seq.completion.Cauchy.comm_ring._proof_4 0.000297 s: cau_seq.completion.Cauchy.comm_ring._proof_5 0.000154 s: quotient.lift_on 0.001285 s: sub_eq_neg_add 0.001406 s: neg_sub_neg 0.001945 s: cau_seq.completion.Cauchy.has_neg._proof_1 0.000421 s: cau_seq.completion.Cauchy.has_neg 0.001640 s: cau_seq.sub_lim_zero 0.002279 s: cau_seq.completion.Cauchy.has_sub._proof_1 0.000498 s: cau_seq.completion.Cauchy.has_sub 0.000485 s: cau_seq.completion.mk_sub 0.000587 s: cau_seq.completion.mk_neg 0.011512 s: cau_seq.completion.Cauchy.comm_ring._proof_6 0.023051 s: cau_seq.completion.Cauchy.comm_ring._proof_7 0.008934 s: cau_seq.completion.Cauchy.comm_ring._proof_8 0.000215 s: cau_seq.comm_ring._proof_1 0.000190 s: cau_seq.comm_ring._proof_2 0.000149 s: cau_seq.comm_ring._proof_3 0.000492 s: cau_seq.comm_ring._proof_4 0.000265 s: cau_seq.comm_ring._proof_5 0.000449 s: cau_seq.comm_ring._proof_6 0.000460 s: cau_seq.comm_ring._proof_7 0.000177 s: cau_seq.comm_ring._proof_8 0.000168 s: cau_seq.comm_ring._proof_9 0.000171 s: cau_seq.comm_ring._proof_10 0.000148 s: cau_seq.comm_ring._proof_11 0.000278 s: cau_seq.comm_ring._proof_12 0.000275 s: cau_seq.comm_ring._proof_13 0.000183 s: cau_seq.comm_ring._proof_14 0.000176 s: cau_seq.comm_ring._proof_15 0.001937 s: cau_seq.comm_ring._proof_16 0.002681 s: cau_seq.comm_ring 0.003246 s: cau_seq.completion.Cauchy.has_mul._proof_1 0.000754 s: cau_seq.completion.Cauchy.has_mul 0.000492 s: cau_seq.completion.mk_mul 0.002435 s: cau_seq.completion.Cauchy.comm_ring._proof_9 0.000166 s: cau_seq.completion.Cauchy.has_one 0.000416 s: _private.2074959703.one_def 0.002967 s: cau_seq.completion.Cauchy.comm_ring._proof_10 0.001930 s: cau_seq.completion.Cauchy.comm_ring._proof_11 0.000202 s: cau_seq.completion.Cauchy.comm_ring._proof_12 0.000237 s: cau_seq.completion.Cauchy.comm_ring._proof_13 0.002008 s: cau_seq.completion.Cauchy.comm_ring._proof_14 0.002986 s: cau_seq.completion.Cauchy.comm_ring._proof_15 0.005324 s: cau_seq.completion.Cauchy.comm_ring._proof_16 0.016141 s: cau_seq.completion.Cauchy.comm_ring 0.078702 s: real.comm_ring._proof_1 0.080599 s: _private.4025661507.zero.equations._eqn_1 0.087144 s: real.zero_cauchy 0.087270 s: real.comm_ring._proof_2 0.088500 s: real.comm_ring._proof_3 0.083189 s: real.comm_ring._proof_4 0.086200 s: real.comm_ring._proof_5 0.083091 s: _private.891623003.neg._main 0.000015 s: _private.891623003.neg 0.000018 s: real.has_neg 0.086837 s: real.comm_ring._proof_6 0.083089 s: _private.891623003.neg._main.equations._eqn_1 0.084330 s: _private.891623003.neg.equations._eqn_1 0.080338 s: real.neg_cauchy 0.088138 s: real.comm_ring._proof_7 0.083241 s: real.comm_ring._proof_8 0.084945 s: _private.746892543.mul._main 0.000015 s: _private.746892543.mul 0.000019 s: real.has_mul 0.082764 s: _private.746892543.mul._main.equations._eqn_1 0.082396 s: _private.746892543.mul.equations._eqn_1 0.083479 s: real.mul_cauchy 0.083434 s: real.comm_ring._proof_9 0.081314 s: _private.1871799945.one 0.000023 s: real.has_one 0.082403 s: _private.1871799945.one.equations._eqn_1 0.083713 s: real.one_cauchy 0.085350 s: real.comm_ring._proof_10 0.086191 s: real.comm_ring._proof_11 0.084500 s: real.comm_ring._proof_12 0.086415 s: real.comm_ring._proof_13 0.084505 s: real.comm_ring._proof_14 0.084737 s: real.comm_ring._proof_15 0.083532 s: real.comm_ring._proof_16 0.008106 s: real.comm_ring 0.000025 s: rat.ordered_ring 0.137290 s: real.mk 0.147165 s: real.ind_mk 0.000305 s: cau_seq.has_le 0.000079 s: _private.1680458781.le.equations._eqn_1 0.000249 s: _private.2622093771.le_def 0.087428 s: _private.3981297311.lt._main.equations._eqn_1 0.083802 s: _private.3981297311.lt.equations._eqn_1 0.081849 s: real.lt_cauchy 0.082529 s: real.mk_lt 0.083682 s: real.cauchy 0.083749 s: real.ext_cauchy_iff 0.000624 s: cau_seq.completion.mk_eq 0.148677 s: real.mk_eq 0.011170 s: real.mk_le 0.000482 s: cau_seq.preorder._proof_1 0.025022 s: cau_seq.add_pos 0.005494 s: cau_seq.lt_trans 0.001757 s: cau_seq.preorder._match_1 0.000695 s: cau_seq.preorder._proof_2 0.013614 s: cau_seq.not_lim_zero_of_pos 0.003007 s: cau_seq.lt_irrefl 0.000982 s: cau_seq.preorder._match_2 0.001075 s: cau_seq.preorder._proof_3 0.000587 s: cau_seq.preorder 0.000525 s: real.partial_order._proof_1 0.000614 s: real.partial_order._proof_2 0.000973 s: real.partial_order._proof_3 0.000726 s: cau_seq.le_antisymm 0.002039 s: real.partial_order._proof_4 0.000246 s: real.partial_order 0.000025 s: real.ring 0.000026 s: real.add_comm_group 0.000028 s: real.add_group 0.000036 s: real.add_right_cancel_semigroup 0.000015 s: real.preorder 0.000019 s: real.inhabited 0.142935 s: real.mk.equations._eqn_1 0.160293 s: real.mk_add 0.002628 s: real.add_lt_add_iff_left 0.003318 s: real.ordered_ring._proof_1 0.001332 s: semiring.add_assoc 0.001174 s: semiring.zero_add 0.000974 s: semiring.add_zero 0.001242 s: semiring.nsmul 0.001433 s: semiring.nsmul_zero' 0.001352 s: semiring.nsmul_succ' 0.000916 s: semiring.add_comm 0.000264 s: semiring.to_add_comm_monoid 0.001616 s: ring_hom 0.000022 s: real.semiring 0.000473 s: ring_hom.to_fun 0.000094 s: ring_hom.has_coe_to_fun 0.000118 s: function.comp_app 0.000403 s: cau_seq.completion.of_rat_one 0.114677 s: real.of_rat._proof_1 0.012873 s: cau_seq.const_mul 0.001376 s: cau_seq.completion.of_rat_mul 0.001850 s: euclidean_domain.exists_pair_ne 0.000039 s: euclidean_domain.to_nontrivial 0.000022 s: rat.nontrivial 0.094788 s: real.of_rat._proof_2 0.000449 s: cau_seq.completion.of_rat_zero 0.099734 s: real.of_rat._proof_3 0.009109 s: cau_seq.const_add 0.000945 s: cau_seq.completion.of_rat_add 0.092610 s: real.of_rat._proof_4 0.121752 s: real.of_rat 0.000064 s: rat.ordered_semiring 0.008605 s: ring_hom.map_zero' 0.002608 s: ring_hom.map_zero 0.000691 s: ring_hom.map_one' 0.000523 s: ring_hom.map_one 0.000037 s: rat.has_lt 0.001118 s: cau_seq.const_sub 0.001986 s: cau_seq.const_pos 0.081953 s: cau_seq.const_lt 0.170639 s: real.of_rat_lt 0.062972 s: real.zero_lt_one 0.007313 s: real.ordered_ring._proof_2 0.082104 s: real.mk_zero 0.000068 s: iff_of_eq 0.012612 s: real.mk_pos 0.149550 s: real.mk_mul 0.011851 s: mul_le_mul 0.062199 s: cau_seq.mul_pos 0.004546 s: real.mul_pos 0.006243 s: real.ordered_ring 0.000021 s: real.ordered_semiring 0.000015 s: real.ordered_cancel_add_comm_monoid 0.000016 s: real.ordered_add_comm_monoid 0.003941 s: nnreal.has_add._proof_1 0.003490 s: nnreal.has_add 0.001140 s: function.injective.add_semigroup._proof_1 0.000298 s: function.injective.add_semigroup 0.000251 s: function.injective.add_comm_semigroup._proof_1 0.000814 s: function.injective.add_comm_semigroup._proof_2 0.000529 s: function.injective.add_comm_semigroup 0.000850 s: function.injective.add_comm_monoid._proof_1 0.000330 s: function.injective.add_monoid._proof_1 0.000465 s: function.injective.add_zero_class._proof_1 0.000512 s: function.injective.add_zero_class._proof_2 0.000263 s: function.injective.add_zero_class 0.000284 s: function.injective.add_monoid._proof_2 0.000264 s: function.injective.add_monoid._proof_3 0.000259 s: function.injective.add_monoid._proof_4 0.000204 s: function.injective.add_monoid._proof_5 0.000824 s: function.injective.add_monoid._proof_6 0.000805 s: function.injective.add_monoid._proof_7 0.002063 s: function.injective.add_monoid 0.000475 s: function.injective.add_comm_monoid._proof_2 0.000285 s: function.injective.add_comm_monoid._proof_3 0.000433 s: function.injective.add_comm_monoid._proof_4 0.000397 s: function.injective.add_comm_monoid._proof_5 0.000636 s: function.injective.add_comm_monoid._proof_6 0.001809 s: function.injective.add_comm_monoid 0.001831 s: function.injective.semiring._proof_1 0.000760 s: function.injective.semigroup._proof_1 0.000163 s: function.injective.semigroup 0.000581 s: function.injective.monoid._proof_1 0.000463 s: function.injective.mul_one_class._proof_1 0.000605 s: function.injective.mul_one_class._proof_2 0.000367 s: function.injective.mul_one_class 0.000329 s: function.injective.monoid._proof_2 0.000347 s: function.injective.monoid._proof_3 0.000363 s: function.injective.monoid._proof_4 0.000240 s: function.injective.monoid._proof_5 0.001219 s: function.injective.monoid._proof_6 0.001040 s: function.injective.monoid._proof_7 0.002389 s: function.injective.monoid 0.001995 s: function.injective.monoid_with_zero._proof_1 0.001665 s: function.injective.monoid_with_zero._proof_2 0.001226 s: function.injective.monoid_with_zero._proof_3 0.001240 s: function.injective.monoid_with_zero._proof_4 0.001209 s: function.injective.monoid_with_zero._proof_5 0.000612 s: function.injective.mul_zero_class._proof_1 0.000456 s: function.injective.mul_zero_class._proof_2 0.000266 s: function.injective.mul_zero_class 0.000271 s: function.injective.monoid_with_zero._proof_6 0.000261 s: function.injective.monoid_with_zero._proof_7 0.002287 s: function.injective.monoid_with_zero 0.001515 s: function.injective.semiring._proof_2 0.001305 s: function.injective.semiring._proof_3 0.001391 s: function.injective.semiring._proof_4 0.001370 s: function.injective.semiring._proof_5 0.001309 s: function.injective.semiring._proof_6 0.001074 s: function.injective.semiring._proof_7 0.000826 s: function.injective.semiring._proof_8 0.000828 s: function.injective.semiring._proof_9 0.001095 s: function.injective.semiring._proof_10 0.000983 s: function.injective.semiring._proof_11 0.000803 s: function.injective.semiring._proof_12 0.000786 s: function.injective.semiring._proof_13 0.000947 s: function.injective.distrib._proof_1 0.000855 s: function.injective.distrib._proof_2 0.000368 s: function.injective.distrib 0.000360 s: function.injective.semiring._proof_14 0.000345 s: function.injective.semiring._proof_15 0.005664 s: function.injective.semiring 0.000735 s: function.injective.comm_semiring._proof_1 0.000532 s: function.injective.comm_semiring._proof_2 0.000532 s: function.injective.comm_semiring._proof_3 0.000681 s: function.injective.comm_semiring._proof_4 0.000779 s: function.injective.comm_semiring._proof_5 0.000594 s: function.injective.comm_semiring._proof_6 0.000656 s: function.injective.comm_semiring._proof_7 0.000580 s: function.injective.comm_semiring._proof_8 0.000589 s: function.injective.comm_semiring._proof_9 0.000663 s: function.injective.comm_semiring._proof_10 0.000627 s: function.injective.comm_semiring._proof_11 0.000548 s: function.injective.comm_semiring._proof_12 0.000538 s: function.injective.comm_semiring._proof_13 0.000463 s: function.injective.comm_semiring._proof_14 0.000437 s: function.injective.comm_semiring._proof_15 0.000227 s: function.injective.comm_semigroup._proof_1 0.000635 s: function.injective.comm_semigroup._proof_2 0.000501 s: function.injective.comm_semigroup 0.001658 s: function.injective.comm_semiring._proof_16 0.007370 s: function.injective.comm_semiring 0.000113 s: comm_ring.to_comm_semiring._proof_1 0.000106 s: comm_ring.to_comm_semiring._proof_2 0.002433 s: comm_ring.to_comm_semiring 0.000020 s: real.comm_semiring 0.000052 s: nnreal.has_zero._proof_1 0.000143 s: nnreal.has_zero 0.002191 s: nnreal.has_one 0.001796 s: nnreal.has_mul._proof_1 0.002972 s: nnreal.has_mul 0.000057 s: coe_subtype 0.001288 s: subtype.ext 0.000415 s: subtype.coe_injective 0.000137 s: nnreal.coe_injective 0.004804 s: nnreal.comm_semiring._proof_1 0.002935 s: nnreal.comm_semiring._proof_2 0.002908 s: nnreal.comm_semiring._proof_3 0.000039 s: nnreal.comm_semiring._proof_4 0.000078 s: nnreal.comm_semiring._proof_5 0.000042 s: nnreal.comm_semiring._proof_6 0.000034 s: nnreal.comm_semiring._proof_7 0.002816 s: nnreal.comm_semiring._proof_8 0.003356 s: nnreal.comm_semiring._proof_9 0.003593 s: nnreal.comm_semiring._proof_10 0.002916 s: nnreal.comm_semiring._proof_11 0.002896 s: nnreal.comm_semiring._proof_12 0.003176 s: nnreal.comm_semiring._proof_13 0.003495 s: nnreal.comm_semiring._proof_14 0.003445 s: nnreal.comm_semiring._proof_15 0.004041 s: nnreal.comm_semiring._proof_16 0.003685 s: nnreal.comm_semiring._proof_17 0.003408 s: nnreal.comm_semiring._proof_18 0.003675 s: nnreal.comm_semiring._proof_19 0.003184 s: nnreal.comm_semiring._proof_20 0.006914 s: nnreal.comm_semiring 0.000029 s: nnreal.has_bot 0.000108 s: preorder.lift._proof_1 0.000136 s: preorder.lift._proof_2 0.000136 s: preorder.lift._proof_3 0.001082 s: preorder.lift 0.000079 s: partial_order.lift._proof_1 0.000115 s: partial_order.lift._proof_2 0.000839 s: partial_order.lift._proof_3 0.001268 s: partial_order.lift._proof_4 0.000590 s: partial_order.lift 0.000121 s: linear_order.lift._proof_1 0.000149 s: linear_order.lift._proof_2 0.000311 s: linear_order.lift._proof_3 0.000302 s: linear_order.lift._proof_4 0.000101 s: linear_order.lift._proof_5 0.000043 s: eq.decidable 0.000282 s: has_lt.lt.decidable 0.002942 s: linear_order.lift 0.000071 s: ge_iff_le 0.043224 s: cau_seq.abv_pos_of_not_lim_zero 0.009448 s: le_neg_add_iff_add_le 0.002226 s: le_sub_iff_add_le' 0.001220 s: le_sub_iff_add_le 0.005445 s: neg_add_le_iff_le_add 0.001796 s: neg_add_le_iff_le_add' 0.000255 s: neg_le_sub_iff_le_add 0.001063 s: neg_le_sub_iff_le_add' 0.001600 s: add_le_add_iff_right 0.005142 s: sub_le_sub_iff_right 0.000402 s: neg_eq_zero_sub 0.000102 s: zero_sub 0.162644 s: cau_seq.trichotomy 0.012735 s: cau_seq.lt_total 0.000611 s: cau_seq.le_total 0.002393 s: real.linear_order._proof_1 0.000592 s: real.linear_order 0.000077 s: nnreal.linear_order 0.001450 s: nnreal.order_bot._match_1 0.000186 s: nnreal.order_bot._proof_1 0.000270 s: nnreal.order_bot 0.002611 s: nnreal.canonically_linear_ordered_add_monoid._proof_1 0.000159 s: nnreal.canonically_linear_ordered_add_monoid._proof_2 0.000022 s: real.has_sub 0.000016 s: real.ordered_add_comm_group 0.000016 s: real.add_monoid 0.000233 s: nnreal.eq 0.000422 s: add_sub_cancel' 0.000270 s: add_sub_cancel'_right 0.017601 s: nnreal.canonically_linear_ordered_add_monoid._match_1 0.043980 s: nnreal.canonically_linear_ordered_add_monoid._match_2 0.015848 s: nnreal.canonically_linear_ordered_add_monoid._match_3 0.012640 s: nnreal.canonically_linear_ordered_add_monoid._proof_3 0.013805 s: nnreal.canonically_linear_ordered_add_monoid 0.004839 s: canonically_linear_ordered_add_monoid.add_assoc 0.001975 s: canonically_linear_ordered_add_monoid.zero 0.003026 s: canonically_linear_ordered_add_monoid.zero_add 0.003046 s: canonically_linear_ordered_add_monoid.add_zero 0.001910 s: canonically_linear_ordered_add_monoid.nsmul 0.002223 s: canonically_linear_ordered_add_monoid.nsmul_zero' 0.002241 s: canonically_linear_ordered_add_monoid.nsmul_succ' 0.001777 s: canonically_linear_ordered_add_monoid.add_comm 0.001600 s: canonically_linear_ordered_add_monoid.le 0.001406 s: canonically_linear_ordered_add_monoid.lt 0.001729 s: canonically_linear_ordered_add_monoid.le_refl 0.001617 s: canonically_linear_ordered_add_monoid.le_trans 0.001793 s: canonically_linear_ordered_add_monoid.lt_iff_le_not_le 0.002108 s: canonically_linear_ordered_add_monoid.le_antisymm 0.005029 s: canonically_linear_ordered_add_monoid.add_le_add_left 0.007075 s: canonically_linear_ordered_add_monoid.lt_of_add_lt_add_left 0.002092 s: canonically_linear_ordered_add_monoid.bot 0.002734 s: canonically_linear_ordered_add_monoid.bot_le 0.014006 s: canonically_linear_ordered_add_monoid.le_iff_exists_add 0.003236 s: function.injective.group_with_zero._proof_1 0.000572 s: function.injective.group_with_zero._proof_2 0.000508 s: function.injective.group_with_zero._proof_3 0.000708 s: function.injective.group_with_zero._proof_4 0.000877 s: function.injective.group_with_zero._proof_5 0.000421 s: function.injective.group_with_zero._proof_6 0.000366 s: function.injective.group_with_zero._proof_7 0.000412 s: function.injective.div_inv_monoid._proof_1 0.000302 s: function.injective.div_inv_monoid._proof_2 0.000317 s: function.injective.div_inv_monoid._proof_3 0.000488 s: function.injective.div_inv_monoid._proof_4 0.000405 s: function.injective.div_inv_monoid._proof_5 0.001767 s: function.injective.div_inv_monoid._proof_6 0.001808 s: function.injective.div_inv_monoid 0.002957 s: function.injective.group_with_zero._proof_8 0.000491 s: pullback_nonzero 0.000281 s: function.injective.group_with_zero._proof_9 0.012827 s: function.injective.group_with_zero._proof_10 0.000112 s: function.injective.ne 0.000143 s: function.injective.ne_iff 0.000127 s: function.injective.ne_iff' 0.013899 s: function.injective.group_with_zero._proof_11 0.012733 s: function.injective.group_with_zero 0.001818 s: function.injective.comm_group_with_zero._proof_1 0.000640 s: function.injective.comm_group_with_zero._proof_2 0.000700 s: function.injective.comm_group_with_zero._proof_3 0.000790 s: function.injective.comm_group_with_zero._proof_4 0.000839 s: function.injective.comm_group_with_zero._proof_5 0.001746 s: function.injective.comm_group_with_zero._proof_6 0.000707 s: function.injective.comm_group_with_zero._proof_7 0.000625 s: function.injective.comm_group_with_zero._proof_8 0.001451 s: function.injective.comm_group_with_zero._proof_9 0.000462 s: function.injective.comm_group_with_zero._proof_10 0.001144 s: function.injective.comm_group_with_zero._proof_11 0.001411 s: function.injective.comm_group_with_zero._proof_12 0.007533 s: function.injective.comm_group_with_zero 0.000209 s: real.nontrivial 0.007026 s: real.linear_ordered_comm_ring 0.000642 s: inv_eq_one_div 0.001473 s: neg_eq_neg_one_mul 0.000604 s: mul_div_assoc 0.001972 s: mul_div_mul_right 0.001305 s: mul_div_mul_left 0.070902 s: div_add_div 0.000989 s: field.to_comm_ring 0.014874 s: div_sub_div 0.004115 s: inv_sub_inv 0.000053 s: ne.equations._eqn_1 0.016615 s: is_absolute_value.abv_pos 0.001788 s: monoid_with_zero_hom 0.000406 s: monoid_with_zero_hom.to_fun 0.000117 s: monoid_with_zero_hom.has_coe_to_fun 0.000749 s: monoid_with_zero_hom.map_mul' 0.000988 s: monoid_with_zero_hom.map_mul 0.000538 s: monoid_with_zero_hom.map_zero' 0.000239 s: monoid_with_zero_hom.map_zero 0.000406 s: monoid_with_zero_hom.map_one' 0.000254 s: monoid_with_zero_hom.map_one 0.001615 s: monoid_with_zero_hom.map_inv' 0.002336 s: monoid_with_zero_hom.map_div 0.081123 s: is_absolute_value.abv_one 0.002766 s: is_absolute_value.abv_hom 0.061367 s: is_absolute_value.abv_div 0.006272 s: lt_iff_lt_of_le_iff_le 0.002409 s: div_eq_mul_one_div 0.004148 s: one_div_pos 0.000692 s: div_eq_iff_mul_eq 0.000230 s: div_eq_iff 0.103361 s: div_le_iff 0.032655 s: lt_div_iff 0.009297 s: div_mul_eq_mul_div 0.002622 s: mul_mul_div 0.079295 s: le_div_iff 0.032229 s: div_lt_iff 0.021127 s: div_lt_div_iff 0.000094 s: has_lt.lt.trans_le 0.002816 s: mul_lt_mul 0.048164 s: div_lt_div 0.120251 s: rat_inv_continuous_lemma 0.010521 s: cau_seq.inv_aux 0.000696 s: cau_seq.inv 0.002774 s: cau_seq.lim_zero_congr 0.001363 s: cau_seq.inv_apply 0.021992 s: cau_seq.inv_mul_cancel 0.100591 s: cau_seq.completion.Cauchy.has_inv._proof_1 0.098862 s: cau_seq.completion.Cauchy.has_inv 0.164733 s: _private.2128078109.inv'._main 0.000015 s: _private.2128078109.inv' 0.000054 s: real.has_inv 0.012528 s: field.div._default 0.000376 s: real.linear_ordered_field._proof_1 0.000021 s: real.comm_monoid 0.000079 s: real.comm_semigroup 0.143816 s: _private.2128078109.inv'._main.equations._eqn_1 0.152122 s: _private.2128078109.inv'.equations._eqn_1 0.152500 s: real.inv_cauchy 0.016985 s: cau_seq.completion.mk_eq_zero 0.094650 s: cau_seq.completion.inv_mk 0.097598 s: cau_seq.completion.inv_mul_cancel 0.178409 s: real.linear_ordered_field._proof_2 0.099233 s: cau_seq.completion.inv_zero 0.235727 s: real.linear_ordered_field._proof_3 0.020524 s: real.linear_ordered_field 0.000023 s: real.field 0.004959 s: nnreal.has_inv._proof_1 0.007222 s: nnreal.has_inv 0.000046 s: push_neg.not_and_eq 0.000206 s: push_neg.not_le_eq 0.000110 s: lt_asymm 0.000064 s: has_lt.lt.asymm 0.004968 s: nonneg_and_nonneg_or_nonpos_and_nonpos_of_mul_nnonneg 0.000785 s: le_of_neg_le_neg 0.041592 s: mul_le_mul_of_nonpos_right 0.004856 s: mul_nonneg_of_nonpos_of_nonpos 0.047249 s: mul_nonneg_iff 0.022505 s: inv_nonpos 0.005728 s: div_nonneg_iff 0.000443 s: div_nonneg 0.008699 s: nnreal.has_div._proof_1 0.004639 s: nnreal.has_div 0.017530 s: nnreal.comm_group_with_zero._proof_1 0.013095 s: nnreal.comm_group_with_zero._proof_2 0.013924 s: nnreal.comm_group_with_zero._proof_3 0.000056 s: nnreal.comm_group_with_zero._proof_4 0.000027 s: nnreal.comm_group_with_zero._proof_5 0.000059 s: nnreal.comm_group_with_zero._proof_6 0.000056 s: nnreal.comm_group_with_zero._proof_7 0.000060 s: nnreal.comm_group_with_zero._proof_8 0.013929 s: nnreal.comm_group_with_zero._proof_9 0.015561 s: nnreal.comm_group_with_zero._proof_10 0.014189 s: nnreal.comm_group_with_zero._proof_11 0.013376 s: nnreal.comm_group_with_zero._proof_12 0.012962 s: nnreal.comm_group_with_zero._proof_13 0.015712 s: nnreal.comm_group_with_zero._proof_14 0.013411 s: nnreal.comm_group_with_zero._proof_15 0.013588 s: nnreal.comm_group_with_zero._proof_16 0.015217 s: nnreal.comm_group_with_zero._proof_17 0.020937 s: nnreal.comm_group_with_zero 0.000979 s: nnreal.canonically_ordered_comm_semiring._proof_1 0.007067 s: nnreal.canonically_ordered_comm_semiring 0.000037 s: real.add_left_cancel_semigroup 0.000101 s: nnreal.eq_iff 0.002517 s: nnreal.linear_ordered_semiring._proof_1 0.000156 s: nnreal.linear_ordered_semiring._proof_2 0.000274 s: nnreal.linear_ordered_semiring._proof_3 0.000135 s: nnreal.linear_ordered_semiring._proof_4 0.003150 s: canonically_linear_ordered_add_monoid.le_total 0.003885 s: canonically_linear_ordered_add_monoid.decidable_le 0.002236 s: canonically_linear_ordered_add_monoid.decidable_eq 0.003122 s: canonically_linear_ordered_add_monoid.decidable_lt 0.005841 s: nnreal.linear_ordered_semiring._proof_5 0.039375 s: nnreal.linear_ordered_semiring 0.000244 s: ennreal.canonically_ordered_comm_semiring 0.000224 s: set.nonempty 0.000093 s: upper_bounds 0.000041 s: bdd_above 0.000038 s: lower_bounds 0.000042 s: bdd_below 0.020328 s: conditionally_complete_linear_order 0.003263 s: conditionally_complete_linear_order.le 0.002044 s: conditionally_complete_linear_order.lt 0.001964 s: conditionally_complete_linear_order.le_refl 0.001715 s: conditionally_complete_linear_order.le_trans 0.002140 s: conditionally_complete_linear_order.lt_iff_le_not_le 0.002594 s: conditionally_complete_linear_order.le_antisymm 0.002727 s: conditionally_complete_linear_order.le_total 0.002561 s: conditionally_complete_linear_order.decidable_le 0.001485 s: conditionally_complete_linear_order.decidable_eq 0.002392 s: conditionally_complete_linear_order.decidable_lt 0.000437 s: conditionally_complete_linear_order.to_linear_order 0.015060 s: complete_linear_order 0.015461 s: conditionally_complete_lattice 0.002269 s: conditionally_complete_lattice.sup 0.010591 s: complete_lattice 0.001099 s: complete_lattice.sup 0.001175 s: complete_lattice.le 0.001024 s: complete_lattice.lt 0.001483 s: complete_lattice.le_refl 0.001396 s: complete_lattice.le_trans 0.001393 s: complete_lattice.lt_iff_le_not_le 0.002910 s: complete_lattice.le_antisymm 0.002592 s: complete_lattice.le_sup_left 0.002035 s: complete_lattice.le_sup_right 0.002672 s: complete_lattice.sup_le 0.001177 s: complete_lattice.inf 0.003693 s: complete_lattice.inf_le_left 0.003768 s: complete_lattice.inf_le_right 0.002940 s: complete_lattice.le_inf 0.001191 s: complete_lattice.Sup 0.001004 s: complete_lattice.Inf 0.003191 s: complete_semilattice_Sup 0.000593 s: complete_semilattice_Sup.le 0.000581 s: complete_semilattice_Sup.lt 0.000799 s: complete_semilattice_Sup.le_refl 0.000774 s: complete_semilattice_Sup.le_trans 0.001111 s: complete_semilattice_Sup.lt_iff_le_not_le 0.001490 s: complete_semilattice_Sup.le_antisymm 0.000166 s: complete_semilattice_Sup.to_partial_order 0.002733 s: complete_lattice.le_Sup 0.002308 s: complete_lattice.Sup_le 0.000405 s: complete_lattice.to_complete_semilattice_Sup 0.000171 s: has_Sup 0.000055 s: has_Sup.Sup 0.000588 s: complete_semilattice_Sup.Sup 0.000038 s: complete_semilattice_Sup.to_has_Sup 0.001347 s: complete_semilattice_Sup.le_Sup 0.000347 s: le_Sup 0.001410 s: conditionally_complete_lattice_of_complete_lattice._proof_1 0.001625 s: complete_semilattice_Sup.Sup_le 0.000364 s: Sup_le 0.004008 s: conditionally_complete_lattice_of_complete_lattice._proof_2 0.003673 s: complete_semilattice_Inf 0.000597 s: complete_semilattice_Inf.le 0.000521 s: complete_semilattice_Inf.lt 0.000732 s: complete_semilattice_Inf.le_refl 0.000678 s: complete_semilattice_Inf.le_trans 0.000941 s: complete_semilattice_Inf.lt_iff_le_not_le 0.001486 s: complete_semilattice_Inf.le_antisymm 0.000195 s: complete_semilattice_Inf.to_partial_order 0.002770 s: complete_lattice.Inf_le 0.002639 s: complete_lattice.le_Inf 0.000434 s: complete_lattice.to_complete_semilattice_Inf 0.000233 s: has_Inf 0.000053 s: has_Inf.Inf 0.000712 s: complete_semilattice_Inf.Inf 0.000029 s: complete_semilattice_Inf.to_has_Inf 0.002039 s: complete_semilattice_Inf.Inf_le 0.000992 s: Inf_le 0.002044 s: conditionally_complete_lattice_of_complete_lattice._proof_3 0.002956 s: complete_semilattice_Inf.le_Inf 0.000637 s: le_Inf 0.004618 s: conditionally_complete_lattice_of_complete_lattice._proof_4 0.006472 s: conditionally_complete_lattice_of_complete_lattice 0.001479 s: complete_linear_order.sup 0.001261 s: complete_linear_order.le 0.001072 s: complete_linear_order.lt 0.001485 s: complete_linear_order.le_refl 0.001702 s: complete_linear_order.le_trans 0.001938 s: complete_linear_order.lt_iff_le_not_le 0.001956 s: complete_linear_order.le_antisymm 0.002292 s: complete_linear_order.le_sup_left 0.002111 s: complete_linear_order.le_sup_right 0.002633 s: complete_linear_order.sup_le 0.001244 s: complete_linear_order.inf 0.002685 s: complete_linear_order.inf_le_left 0.002236 s: complete_linear_order.inf_le_right 0.002822 s: complete_linear_order.le_inf 0.001375 s: complete_linear_order.top 0.002403 s: complete_linear_order.le_top 0.001493 s: complete_linear_order.bot 0.003176 s: complete_linear_order.bot_le 0.001192 s: complete_linear_order.Sup 0.002223 s: complete_linear_order.le_Sup 0.002400 s: complete_linear_order.Sup_le 0.001120 s: complete_linear_order.Inf 0.002223 s: complete_linear_order.Inf_le 0.002224 s: complete_linear_order.le_Inf 0.001159 s: complete_linear_order.to_complete_lattice 0.001786 s: conditionally_complete_lattice.le 0.001271 s: conditionally_complete_lattice.lt 0.001555 s: conditionally_complete_lattice.le_refl 0.000069 s: conditionally_complete_linear_order_of_complete_linear_order._proof_1 0.001458 s: conditionally_complete_lattice.le_trans 0.000094 s: conditionally_complete_linear_order_of_complete_linear_order._proof_2 0.001749 s: conditionally_complete_lattice.lt_iff_le_not_le 0.000217 s: conditionally_complete_linear_order_of_complete_linear_order._proof_3 0.002269 s: conditionally_complete_lattice.le_antisymm 0.000282 s: conditionally_complete_linear_order_of_complete_linear_order._proof_4 0.002501 s: conditionally_complete_lattice.le_sup_left 0.000398 s: conditionally_complete_linear_order_of_complete_linear_order._proof_5 0.002500 s: conditionally_complete_lattice.le_sup_right 0.000360 s: conditionally_complete_linear_order_of_complete_linear_order._proof_6 0.004227 s: conditionally_complete_lattice.sup_le 0.000534 s: conditionally_complete_linear_order_of_complete_linear_order._proof_7 0.001620 s: conditionally_complete_lattice.inf 0.003150 s: conditionally_complete_lattice.inf_le_left 0.000365 s: conditionally_complete_linear_order_of_complete_linear_order._proof_8 0.002376 s: conditionally_complete_lattice.inf_le_right 0.000362 s: conditionally_complete_linear_order_of_complete_linear_order._proof_9 0.003986 s: conditionally_complete_lattice.le_inf 0.000583 s: conditionally_complete_linear_order_of_complete_linear_order._proof_10 0.002573 s: conditionally_complete_lattice.Sup 0.001775 s: conditionally_complete_lattice.Inf 0.009312 s: conditionally_complete_lattice.le_cSup 0.001251 s: conditionally_complete_linear_order_of_complete_linear_order._proof_11 0.009585 s: conditionally_complete_lattice.cSup_le 0.001373 s: conditionally_complete_linear_order_of_complete_linear_order._proof_12 0.010058 s: conditionally_complete_lattice.cInf_le 0.001390 s: conditionally_complete_linear_order_of_complete_linear_order._proof_13 0.011620 s: conditionally_complete_lattice.le_cInf 0.001997 s: conditionally_complete_linear_order_of_complete_linear_order._proof_14 0.004719 s: complete_linear_order.le_total 0.002280 s: complete_linear_order.decidable_le 0.001443 s: complete_linear_order.decidable_eq 0.002154 s: complete_linear_order.decidable_lt 0.008274 s: conditionally_complete_linear_order_of_complete_linear_order 0.000137 s: set.has_emptyc 0.016736 s: conditionally_complete_linear_order_bot 0.005226 s: semilattice_sup_top 0.000704 s: semilattice_sup_top.sup 0.000139 s: with_top.semilattice_sup._proof_1 0.000102 s: with_top.semilattice_sup._proof_2 0.000340 s: with_top.semilattice_sup._proof_3 0.000249 s: with_top.semilattice_sup._proof_4 0.000256 s: with_top.semilattice_sup._proof_5 0.001245 s: option.bind_eq_some' 0.000250 s: option.map_none' 0.000152 s: option.map_some' 0.001279 s: option.map_eq_some' 0.003900 s: with_top.semilattice_sup._proof_6 0.002942 s: with_top.semilattice_sup._proof_7 0.002478 s: with_top.semilattice_sup._proof_8 0.001894 s: with_top.semilattice_sup 0.000764 s: semilattice_sup_top.le 0.000566 s: semilattice_sup_top.lt 0.000806 s: semilattice_sup_top.le_refl 0.000124 s: with_top.lattice._proof_1 0.000689 s: semilattice_sup_top.le_trans 0.000109 s: with_top.lattice._proof_2 0.000926 s: semilattice_sup_top.lt_iff_le_not_le 0.000207 s: with_top.lattice._proof_3 0.001035 s: semilattice_sup_top.le_antisymm 0.000280 s: with_top.lattice._proof_4 0.001734 s: semilattice_sup_top.le_sup_left 0.000223 s: with_top.lattice._proof_5 0.001624 s: semilattice_sup_top.le_sup_right 0.000288 s: with_top.lattice._proof_6 0.001948 s: semilattice_sup_top.sup_le 0.000392 s: with_top.lattice._proof_7 0.004115 s: semilattice_inf_top 0.000629 s: semilattice_inf_top.inf 0.000059 s: with_top.semilattice_inf._proof_1 0.000092 s: with_top.semilattice_inf._proof_2 0.000133 s: with_top.semilattice_inf._proof_3 0.000222 s: with_top.semilattice_inf._proof_4 0.000261 s: with_top.semilattice_inf._proof_5 0.000090 s: option.lift_or_get._main 0.000023 s: option.lift_or_get 0.000194 s: option.lift_or_get._main.equations._eqn_3 0.000141 s: option.lift_or_get.equations._eqn_3 0.000110 s: option.lift_or_get._main.equations._eqn_4 0.000058 s: option.lift_or_get.equations._eqn_4 0.002412 s: with_top.semilattice_inf._proof_6 0.000229 s: option.lift_or_get._main.equations._eqn_2 0.000064 s: option.lift_or_get.equations._eqn_2 0.002675 s: with_top.semilattice_inf._proof_7 0.000075 s: with_top.has_le 0.001150 s: with_top.some_le_some 0.003821 s: with_top.semilattice_inf._proof_8 0.001851 s: with_top.semilattice_inf 0.000807 s: semilattice_inf_top.le 0.000610 s: semilattice_inf_top.lt 0.000796 s: semilattice_inf_top.le_refl 0.000791 s: semilattice_inf_top.le_trans 0.001733 s: semilattice_inf_top.lt_iff_le_not_le 0.001855 s: semilattice_inf_top.le_antisymm 0.001883 s: semilattice_inf_top.inf_le_left 0.000292 s: with_top.lattice._proof_8 0.001400 s: semilattice_inf_top.inf_le_right 0.000283 s: with_top.lattice._proof_9 0.001973 s: semilattice_inf_top.le_inf 0.000326 s: with_top.lattice._proof_10 0.004288 s: with_top.lattice 0.001171 s: conditionally_complete_lattice.to_lattice 0.002185 s: conditionally_complete_linear_order.sup 0.003048 s: conditionally_complete_linear_order.le_sup_left 0.002588 s: conditionally_complete_linear_order.le_sup_right 0.003102 s: conditionally_complete_linear_order.sup_le 0.001695 s: conditionally_complete_linear_order.inf 0.003188 s: conditionally_complete_linear_order.inf_le_left 0.002926 s: conditionally_complete_linear_order.inf_le_right 0.003165 s: conditionally_complete_linear_order.le_inf 0.001777 s: conditionally_complete_linear_order.Sup 0.001917 s: conditionally_complete_linear_order.Inf 0.011225 s: conditionally_complete_linear_order.le_cSup 0.010194 s: conditionally_complete_linear_order.cSup_le 0.009957 s: conditionally_complete_linear_order.cInf_le 0.010077 s: conditionally_complete_linear_order.le_cInf 0.001656 s: conditionally_complete_linear_order.to_conditionally_complete_lattice 0.002560 s: conditionally_complete_linear_order_bot.sup 0.001817 s: conditionally_complete_linear_order_bot.le 0.001958 s: conditionally_complete_linear_order_bot.lt 0.002120 s: conditionally_complete_linear_order_bot.le_refl 0.001942 s: conditionally_complete_linear_order_bot.le_trans 0.002694 s: conditionally_complete_linear_order_bot.lt_iff_le_not_le 0.002654 s: conditionally_complete_linear_order_bot.le_antisymm 0.004098 s: conditionally_complete_linear_order_bot.le_sup_left 0.003674 s: conditionally_complete_linear_order_bot.le_sup_right 0.003578 s: conditionally_complete_linear_order_bot.sup_le 0.002170 s: conditionally_complete_linear_order_bot.inf 0.003249 s: conditionally_complete_linear_order_bot.inf_le_left 0.002953 s: conditionally_complete_linear_order_bot.inf_le_right 0.003555 s: conditionally_complete_linear_order_bot.le_inf 0.002043 s: conditionally_complete_linear_order_bot.Sup 0.001983 s: conditionally_complete_linear_order_bot.Inf 0.010380 s: conditionally_complete_linear_order_bot.le_cSup 0.010773 s: conditionally_complete_linear_order_bot.cSup_le 0.012708 s: conditionally_complete_linear_order_bot.cInf_le 0.011726 s: conditionally_complete_linear_order_bot.le_cInf 0.004166 s: conditionally_complete_linear_order_bot.le_total 0.003674 s: conditionally_complete_linear_order_bot.decidable_le 0.002083 s: conditionally_complete_linear_order_bot.decidable_eq 0.002946 s: conditionally_complete_linear_order_bot.decidable_lt 0.001641 s: conditionally_complete_linear_order_bot.to_conditionally_complete_linear_order 0.000086 s: with_top.linear_order._proof_1 0.000115 s: with_top.linear_order._proof_2 0.000368 s: with_top.linear_order._proof_3 0.000210 s: with_top.linear_order._proof_4 0.003181 s: with_top.linear_order._proof_5 0.000017 s: with_bot 0.000086 s: with_bot.has_lt 0.000154 s: with_bot.preorder._proof_1 0.000758 s: with_bot.preorder._match_1 0.000546 s: with_bot.preorder._match_2 0.000311 s: with_bot.preorder._proof_2 0.001063 s: with_bot.some_lt_some 0.006407 s: with_bot.preorder._proof_3 0.000362 s: with_bot.preorder 0.000055 s: with_bot.has_coe_t 0.001452 s: with_bot.coe_le_coe 0.000150 s: with_bot.some_le_some 0.001256 s: with_bot.decidable_le._main 0.000064 s: with_bot.decidable_le 0.000701 s: with_top.decidable_le 0.000094 s: with_top.linear_order._proof_6 0.000115 s: with_top.linear_order._proof_7 0.000222 s: with_top.linear_order._proof_8 0.000183 s: with_top.linear_order._proof_9 0.002140 s: with_bot.decidable_lt._main 0.000127 s: with_bot.decidable_lt 0.000421 s: with_top.decidable_lt 0.004212 s: with_top.linear_order 0.000083 s: with_top.complete_linear_order._proof_1 0.000096 s: with_top.complete_linear_order._proof_2 0.000327 s: with_top.complete_linear_order._proof_3 0.000264 s: with_top.complete_linear_order._proof_4 0.000368 s: with_top.complete_linear_order._proof_5 0.000383 s: with_top.complete_linear_order._proof_6 0.000466 s: with_top.complete_linear_order._proof_7 0.000258 s: with_top.complete_linear_order._proof_8 0.000257 s: with_top.complete_linear_order._proof_9 0.000335 s: with_top.complete_linear_order._proof_10 0.002154 s: conditionally_complete_linear_order_bot.bot 0.003832 s: conditionally_complete_linear_order_bot.bot_le 0.000227 s: conditionally_complete_linear_order_bot.to_order_bot 0.000394 s: with_top.complete_linear_order._proof_11 0.000320 s: with_top.complete_linear_order._proof_12 0.000179 s: set.decidable_mem 0.000045 s: set.preimage 0.000224 s: with_top.has_Sup 0.000030 s: conditionally_complete_lattice.to_has_Sup 0.000074 s: is_least 0.000074 s: is_lub 0.000159 s: decidable.not_iff_comm 0.000027 s: not_iff_comm 0.000060 s: set.nonempty.equations._eqn_1 0.000221 s: eq.subset 0.000198 s: set.subset.antisymm 0.000189 s: set.subset.antisymm_iff 0.000149 s: set.empty_subset 0.000127 s: set.subset_empty_iff 0.000201 s: set.eq_empty_iff_forall_not_mem 0.000390 s: set.not_nonempty_iff_eq_empty 0.000110 s: set.ne_empty_iff_nonempty 0.000158 s: set.eq_empty_or_nonempty 0.000212 s: set.preimage_empty 0.003732 s: conditionally_complete_linear_order_bot.cSup_empty 0.001449 s: cSup_empty 0.000057 s: is_greatest 0.000030 s: is_glb 0.000067 s: is_glb.equations._eqn_1 0.000187 s: upper_bounds.equations._eqn_1 0.000146 s: set.ball_empty_iff 0.000158 s: set.subset_univ 0.000086 s: set.univ_subset_iff 0.000042 s: imp_iff_right 0.000247 s: set.eq_univ_iff_forall 0.000081 s: set.mem_set_of_eq 0.000840 s: upper_bounds_empty 0.000354 s: lower_bounds_empty 0.000088 s: is_greatest.equations._eqn_1 0.000045 s: set.mem_univ 0.000808 s: order_top.upper_bounds_univ 0.000150 s: set.mem_singleton 0.000576 s: is_greatest_univ 0.000448 s: is_glb_empty 0.000043 s: order_dual.has_top 0.000102 s: order_dual.order_top._proof_1 0.000111 s: order_dual.order_top._proof_2 0.000147 s: order_dual.order_top._proof_3 0.000315 s: order_dual.order_top._proof_4 0.001300 s: order_dual.order_top 0.001409 s: is_lub_empty 0.000739 s: le_cSup 0.000295 s: with_top.not_top_le_coe 0.000667 s: cSup_le 0.005107 s: with_top.is_lub_Sup' 0.016627 s: with_top.is_lub_Sup 0.000292 s: with_top.complete_linear_order._proof_13 0.000214 s: with_top.complete_linear_order._proof_14 0.000175 s: with_top.has_Inf 0.000058 s: conditionally_complete_lattice.to_has_Inf 0.000943 s: cInf_le 0.000777 s: le_cInf 0.000061 s: push_neg.not_not_eq 0.005486 s: with_top.is_glb_Inf' 0.010140 s: with_top.is_glb_Inf 0.000236 s: with_top.complete_linear_order._proof_15 0.000174 s: with_top.complete_linear_order._proof_16 0.000393 s: with_top.complete_linear_order._proof_17 0.000140 s: classical.dec_rel 0.000056 s: with_top.complete_linear_order._proof_18 0.000100 s: with_top.complete_linear_order._proof_19 0.001023 s: with_top.complete_linear_order._proof_20 0.000313 s: with_top.complete_linear_order._proof_21 0.016614 s: with_top.complete_linear_order 0.000354 s: nnreal.conditionally_complete_linear_order_bot._proof_1 0.000317 s: nnreal.conditionally_complete_linear_order_bot._proof_2 0.000296 s: nnreal.conditionally_complete_linear_order_bot._proof_3 0.000177 s: nnreal.conditionally_complete_linear_order_bot._proof_4 0.000326 s: nnreal.conditionally_complete_linear_order_bot._proof_5 0.000238 s: nnreal.conditionally_complete_linear_order_bot._proof_6 0.000226 s: int.cast._main 0.000041 s: int.cast 0.000052 s: int.cast_coe 0.000354 s: le_neg 0.000093 s: _private.3897234211.lbp 0.002003 s: _private.651630769.wf_lbp._match_1 0.001013 s: nat.add_right_comm 0.001022 s: _private.651630769.wf_lbp._match_2 0.000306 s: _private.651630769.wf_lbp._match_3 0.000052 s: _private.651630769.wf_lbp 0.000054 s: nat.find_x._proof_1 0.000063 s: nat.find_x._proof_2 0.000169 s: nat.find_x._proof_3 0.001095 s: nat.find_x._proof_4 0.000041 s: nat.find_x._proof_5 0.000329 s: nat.find_x 0.000059 s: nat.find 0.000105 s: nat.find_spec 0.000134 s: nat.find_min 0.000451 s: nat.find_min' 0.007477 s: int.exists_least_of_bdd 0.040115 s: int.exists_greatest_of_bdd 0.000024 s: real.linear_ordered_ring 0.000246 s: has_scalar 0.000049 s: has_scalar.smul 0.000032 s: add_monoid.has_scalar_nat 0.000784 s: archimedean 0.000114 s: coe_trans 0.000992 s: coe_coe 0.000281 s: add_monoid_hom.congr_fun 0.000593 s: nat.cast_zero 0.000167 s: nat.cast_add_monoid_hom._proof_1 0.007261 s: nat.cast_add 0.003266 s: nat.cast_add_monoid_hom 0.000570 s: add_monoid_hom.cases_on 0.001102 s: add_monoid_hom.coe_inj 0.000287 s: add_monoid_hom.ext 0.000338 s: add_monoid_hom.map_zero' 0.000236 s: add_monoid_hom.map_zero 0.000350 s: add_monoid_hom.map_add' 0.000401 s: add_monoid_hom.map_add 0.003854 s: add_monoid_hom.ext_nat 0.000762 s: nat.cast_one 0.000723 s: add_monoid_hom.eq_nat_cast 0.000348 s: zero_nsmul 0.000031 s: semiconj_by 0.000029 s: commute 0.000150 s: commute.symm 0.000148 s: semiconj_by.equations._eqn_1 0.000275 s: semiconj_by.one_right 0.000052 s: semiconj_by.eq 0.000552 s: semiconj_by.mul_right 0.001407 s: semiconj_by.pow_right 0.000186 s: commute.pow_right 0.000139 s: commute.pow_left 0.000107 s: commute.refl 0.000090 s: commute.pow_self 0.000099 s: pow_mul_comm' 0.000409 s: pow_succ' 0.001549 s: pow_add 0.001362 s: add_nsmul 0.000201 s: nsmul_eq_smul 0.000833 s: nsmul_one' 0.000218 s: one_nsmul 0.002734 s: nsmul_one 0.000346 s: strict_mono.lt_iff_lt 0.000577 s: nat.cast_lt 0.000330 s: archimedean.arch 0.012696 s: exists_nat_gt 0.029234 s: exists_int_gt 0.000260 s: rat.cast_coe 0.003227 s: nat.cast_succ 0.000167 s: int.add_neg_one 0.000450 s: int.neg_succ_sub_one 0.027695 s: rat.coe_int_eq_mk 0.000156 s: rat.of_int_eq_mk 0.000103 s: rat.coe_int_eq_of_int 0.003389 s: inv_one 0.002052 s: div_one 0.014477 s: rat.cast_of_int 0.001537 s: rat.cast_coe_int 0.001695 s: rat.cast_coe_nat 0.057018 s: exists_rat_gt 0.005447 s: succ_nsmul' 0.003509 s: nsmul_eq_mul' 0.000107 s: commute.eq 0.000312 s: semiconj_by.zero_left 0.000087 s: commute.zero_left 0.000904 s: semiconj_by.add_left 0.000132 s: commute.add_left 0.000107 s: semiconj_by.one_left 0.000091 s: commute.one_left 0.003492 s: nat.cast_commute 0.000689 s: nsmul_eq_mul 0.082672 s: archimedean_iff_nat_lt 0.005981 s: floor_ring 0.000051 s: int.to_nat._main 0.000008 s: int.to_nat 0.000279 s: floor_ring.floor 0.000063 s: floor 0.000117 s: ceil 0.000061 s: nat_ceil 0.000178 s: rat.floor._main 0.000008 s: rat.floor 0.000228 s: rat.floor._main.equations._eqn_1 0.000093 s: rat.floor.equations._eqn_1 0.058188 s: rat.le_def 0.000232 s: le_of_sub_nonneg 0.009336 s: int.div_mul_le 0.011110 s: int.mul_le_of_le_div 0.000668 s: int.neg_add_cancel_left 0.000146 s: int.le_of_add_le_add_left 0.000139 s: int.le_of_add_le_add_right 0.000360 s: int.le_of_lt_add_one 0.005654 s: lt_of_mul_lt_mul_right 0.007452 s: neg_add_lt_iff_lt_add 0.001849 s: sub_lt_iff_lt_add' 0.007437 s: int.lt_div_add_one_mul_self 0.013934 s: int.le_div_of_mul_le 0.000092 s: int.le_div_iff_mul_le 0.028589 s: rat.le_floor 0.014905 s: rat.floor_ring 0.001238 s: eq_div_iff_mul_eq 0.007961 s: rat.denom_dvd 0.007368 s: nat.cast_mul 0.003203 s: int.cast_neg_of_nat 0.000998 s: nat.cast_add_one 0.011408 s: int.cast_mul 0.000308 s: nat.commute_cast 0.000850 s: int.cast_coe_nat 0.000427 s: int.cast_zero 0.019897 s: rat.cast_mk_of_ne_zero 0.003671 s: nat.cast_sub 0.001355 s: sub_left_inj 0.000354 s: int.cast_neg_succ_of_nat 0.003680 s: int.cast_sub_nat_nat 0.000526 s: sub_eq_of_eq_add 0.000029 s: nat.add_semigroup 0.012303 s: int.cast_add 0.000100 s: add_right_injective 0.000098 s: add_right_inj 0.046478 s: rat.cast_add_of_ne_zero 0.006966 s: int.cast_neg 0.004557 s: rat.cast_neg 0.005227 s: rat.cast_sub_of_ne_zero 0.000173 s: nat.cast_inj 0.000456 s: nat.cast_eq_zero 0.000165 s: nat.cast_ne_zero 0.002200 s: rat.cast_sub 0.014870 s: rat.mk_eq_div 0.002350 s: ring_hom.map_mul' 0.001981 s: ring_hom.to_monoid_with_zero_hom 0.025701 s: ring_hom.map_div 0.003172 s: int.cast_one 0.003519 s: rat.cast_one 0.000418 s: semiconj_by.zero_right 0.001099 s: units.inv_mul_cancel_left 0.000618 s: units.mul_inv_cancel_right 0.000963 s: semiconj_by.units_inv_right 0.003170 s: semiconj_by.inv_right' 0.000228 s: semiconj_by.inv_right_iff' 0.000201 s: commute.inv_right_iff' 0.000162 s: commute.inv_right' 0.035060 s: rat.cast_mul_of_ne_zero 0.008447 s: rat.cast_mul 0.000609 s: rat.cast_zero 0.002582 s: rat.cast_add 0.009429 s: rat.cast_hom 0.008807 s: rat.cast_div 0.001715 s: rat.cast_mk 0.006217 s: int.cast_sub 0.007606 s: nat.cast_nonneg 0.028358 s: int.cast_nonneg 0.011309 s: int.cast_le 0.451905 s: rat.cast_nonneg 0.000027 s: rat.ordered_add_comm_group 0.197124 s: rat.cast_le 0.000109 s: nat_ceil.equations._eqn_1 0.000981 s: int.to_nat_eq_max 0.016557 s: int.to_nat_le 0.000176 s: ceil.equations._eqn_1 0.000946 s: floor_ring.le_floor 0.000350 s: le_floor 0.053382 s: ceil_le 0.007709 s: nat_ceil_le 0.001611 s: le_nat_ceil 0.090280 s: archimedean_iff_rat_lt 0.019652 s: rat.cast_lt 0.018292 s: archimedean_iff_rat_le 0.000024 s: real.division_ring 0.150543 s: real.mk_neg 0.013876 s: ring_hom.map_add' 0.000307 s: ring_hom.to_add_monoid_hom 0.018494 s: ring_hom.eq_nat_cast 0.003033 s: ring_hom.comp._proof_1 0.002350 s: ring_hom.map_mul 0.002578 s: ring_hom.comp._proof_2 0.002635 s: ring_hom.comp._proof_3 0.001858 s: ring_hom.map_add 0.002297 s: ring_hom.comp._proof_4 0.000800 s: ring_hom.comp 0.000241 s: nat.cast_ring_hom._proof_1 0.000210 s: nat.cast_ring_hom._proof_2 0.000197 s: nat.cast_ring_hom._proof_3 0.018146 s: nat.cast_ring_hom 0.004649 s: ring_hom.map_nat_cast 0.000188 s: int.cast_add_hom._proof_1 0.002245 s: int.cast_add_hom 0.000440 s: add_monoid_hom.ext_iff 0.001520 s: add_monoid_hom.comp._proof_1 0.000028 s: has_zero.nonempty 0.001425 s: add_monoid_hom.comp._proof_2 0.000594 s: add_monoid_hom.comp 0.000224 s: ring_hom.has_coe_add_monoid_hom 0.000110 s: int.of_nat_hom._proof_1 0.000147 s: int.of_nat_mul 0.000074 s: int.of_nat_hom._proof_2 0.000087 s: int.of_nat_add 0.007913 s: int.of_nat_hom 0.001471 s: add_monoid_hom.map_add_eq_zero 0.000154 s: add_neg_self 0.000692 s: add_monoid_hom.eq_on_neg 0.055066 s: add_monoid_hom.ext_int 0.000617 s: int.coe_cast_add_hom 0.006723 s: add_monoid_hom.eq_int_cast_hom 0.002137 s: add_monoid_hom.eq_int_cast 0.017363 s: ring_hom.eq_int_cast 0.000210 s: int.cast_ring_hom._proof_1 0.000184 s: int.cast_ring_hom._proof_2 0.000201 s: int.cast_ring_hom._proof_3 0.014041 s: int.cast_ring_hom 0.002829 s: ring_hom.map_int_cast 0.083616 s: ring_hom.eq_rat_cast 0.070386 s: real.of_rat_eq_cast 0.000032 s: rat.ordered_cancel_add_comm_monoid 0.000018 s: rat.ordered_add_comm_monoid 0.387781 s: real.le_mk_of_forall_le 0.085648 s: real.mk_le_of_forall_le 0.019867 s: real.archimedean._match_1 0.234565 s: real.archimedean 0.069629 s: exists_int_lt 0.048884 s: exists_floor 0.006553 s: archimedean.floor_ring._proof_1 0.002122 s: archimedean.floor_ring 0.146370 s: real.floor_ring 0.014601 s: floor_le 0.000023 s: real.linear_ordered_semiring 0.002054 s: nat.cast_pos 0.003158 s: strict_mono.le_iff_le 0.001036 s: nat.cast_le 0.025129 s: ring_hom.map_inv 0.001710 s: rat.cast_inv 0.005041 s: sub_lt_iff_lt_add 0.000058 s: int.succ 0.001650 s: int.succ.equations._eqn_1 0.008209 s: floor_lt 0.010563 s: int.lt_succ_self 0.001758 s: lt_succ_floor 0.005280 s: lt_floor_add_one 0.049022 s: sub_one_lt_floor 0.000170 s: one_div 0.006530 s: div_eq_inv_mul 0.030078 s: inv_le_inv 0.021097 s: inv_le 0.000360 s: densely_ordered 0.000170 s: densely_ordered.dense 0.000063 s: exists_between 0.002107 s: le_of_forall_ge_of_dense 0.001412 s: mul_two 0.074245 s: add_self_div_two 0.087723 s: div_lt_div_of_lt 0.058539 s: linear_ordered_field.to_densely_ordered 0.000345 s: le_sub 1.270100 s: real.exists_sup 0.000194 s: real.has_Sup._proof_1 0.000145 s: real.has_Sup 0.000149 s: set.image 0.000486 s: set.mem_image 0.000179 s: set.mem_empty_eq 0.003952 s: set.image_empty 0.000157 s: exists_const 0.003656 s: real.Sup_empty 0.000267 s: le_cSup_of_le 0.000027 s: real.lattice 0.000101 s: real.has_Inf 0.000283 s: real.Sup_def 0.001292 s: real.Sup_le 0.000237 s: real.le_Sup 0.007993 s: real.conditionally_complete_linear_order._proof_1 0.000100 s: real.Sup_le_ub 0.000122 s: real.conditionally_complete_linear_order._proof_2 0.031362 s: real.le_Inf 0.000397 s: real.Inf_le 0.013758 s: real.conditionally_complete_linear_order._proof_3 0.000169 s: real.lb_le_Inf 0.000123 s: real.conditionally_complete_linear_order._proof_4 0.007250 s: real.conditionally_complete_linear_order 0.000109 s: nnreal.of_real._proof_1 0.000301 s: nnreal.of_real 0.002436 s: le_max_left_of_le 0.000208 s: set.mem_image_of_mem 0.005219 s: nnreal.bdd_above_coe 0.000542 s: real.Sup_of_not_bdd_above 0.005848 s: nnreal.has_Sup._proof_1 0.000094 s: nnreal.has_Sup 0.000094 s: real.Inf_def 0.000078 s: set.set_of_false 0.001732 s: real.Inf_empty 0.000372 s: set.nonempty.image 0.001639 s: nnreal.has_Inf._match_1 0.002264 s: nnreal.has_Inf._proof_1 0.000102 s: nnreal.has_Inf 0.018786 s: nnreal.conditionally_complete_linear_order_bot._proof_7 0.000649 s: set.nonempty.of_image 0.000171 s: set.nonempty_image_iff 0.013229 s: nnreal.conditionally_complete_linear_order_bot._match_1 0.013297 s: nnreal.conditionally_complete_linear_order_bot._proof_8 0.001305 s: nnreal.bdd_below_coe 0.010902 s: nnreal.conditionally_complete_linear_order_bot._proof_9 0.013145 s: nnreal.conditionally_complete_linear_order_bot._match_2 0.012361 s: nnreal.conditionally_complete_linear_order_bot._proof_10 0.000311 s: nnreal.coe_Sup 0.002120 s: bot_eq_zero 0.000168 s: nnreal.coe_zero 0.010047 s: nnreal.conditionally_complete_linear_order_bot._proof_11 0.021083 s: nnreal.conditionally_complete_linear_order_bot 0.000096 s: ennreal.complete_linear_order 0.000095 s: set.inter 0.000039 s: set.has_inter 0.000089 s: set.sUnion 0.000728 s: topological_space 0.001424 s: filter 0.000396 s: prod 0.000385 s: filter.sets 0.000148 s: filter.has_mem 0.000281 s: set.subset.refl 0.000102 s: filter.partial_order._proof_1 0.000219 s: set.subset.trans 0.000661 s: filter.partial_order._proof_2 0.000125 s: filter.partial_order._proof_3 0.000521 s: filter.cases_on 0.005284 s: filter.filter_eq 0.002974 s: filter.partial_order._proof_4 0.001347 s: filter.partial_order 0.000172 s: filter.principal._proof_1 0.000466 s: set.subset_inter 0.000121 s: filter.principal._proof_2 0.000373 s: filter.principal 0.000107 s: prod.fst 0.000071 s: prod.snd 0.000087 s: id_rel 0.000409 s: filter.univ_sets 0.000282 s: filter.univ_mem_sets 0.000328 s: filter.sets_of_superset 0.000315 s: filter.mem_sets_of_superset 0.000675 s: set.preimage_mono 0.000744 s: filter.map._proof_1 0.000589 s: filter.inter_sets 0.000689 s: filter.inter_mem_sets 0.000717 s: filter.map._proof_2 0.001509 s: filter.map 0.000109 s: filter.tendsto 0.000086 s: prod.swap 0.000068 s: set.range 0.000045 s: infi 0.001503 s: complete_lattice.top 0.001140 s: complete_lattice.bot 0.007972 s: bounded_lattice 0.001930 s: bounded_lattice.lt 0.001396 s: bounded_lattice.le 0.001045 s: bounded_lattice.top 0.001449 s: bounded_lattice.bot 0.000948 s: bounded_lattice.sup 0.000916 s: bounded_lattice.inf 0.000050 s: semilattice_sup.lt._default 0.000023 s: lattice.lt._default 0.003125 s: bounded_lattice.cases_on 0.001832 s: bounded_lattice.copy._aux_1 0.002475 s: bounded_lattice.copy._aux_2 0.000060 s: bounded_lattice.copy._proof_1 0.004564 s: bounded_lattice.copy._aux_3 0.006245 s: bounded_lattice.copy._aux_4 0.006536 s: bounded_lattice.copy._aux_5 0.008344 s: bounded_lattice.copy._aux_6 0.007050 s: bounded_lattice.copy._aux_7 0.006160 s: bounded_lattice.copy._aux_8 0.009468 s: bounded_lattice.copy._aux_9 0.008504 s: bounded_lattice.copy._aux_10 0.006420 s: bounded_lattice.copy._aux_11 0.003526 s: bounded_lattice.copy 0.002954 s: complete_lattice.le_top 0.002539 s: complete_lattice.bot_le 0.001081 s: complete_lattice.to_bounded_lattice 0.001460 s: bounded_lattice.le_refl 0.003877 s: complete_lattice.copy._proof_1 0.001202 s: bounded_lattice.le_trans 0.003476 s: complete_lattice.copy._proof_2 0.001473 s: bounded_lattice.lt_iff_le_not_le 0.003316 s: complete_lattice.copy._proof_3 0.001839 s: bounded_lattice.le_antisymm 0.003265 s: complete_lattice.copy._proof_4 0.002145 s: bounded_lattice.le_sup_left 0.004703 s: complete_lattice.copy._proof_5 0.002529 s: bounded_lattice.le_sup_right 0.003844 s: complete_lattice.copy._proof_6 0.002561 s: bounded_lattice.sup_le 0.003577 s: complete_lattice.copy._proof_7 0.001943 s: bounded_lattice.inf_le_left 0.003089 s: complete_lattice.copy._proof_8 0.002081 s: bounded_lattice.inf_le_right 0.003239 s: complete_lattice.copy._proof_9 0.003006 s: bounded_lattice.le_inf 0.003381 s: complete_lattice.copy._proof_10 0.001858 s: bounded_lattice.le_top 0.003055 s: complete_lattice.copy._proof_11 0.002162 s: bounded_lattice.bot_le 0.003281 s: complete_lattice.copy._proof_12 0.003201 s: complete_lattice.cases_on 0.016206 s: complete_lattice.copy._aux_1 0.018693 s: complete_lattice.copy._aux_2 0.016792 s: complete_lattice.copy._aux_3 0.022295 s: complete_lattice.copy._aux_4 0.010044 s: complete_lattice.copy 0.000138 s: order_dual.lattice._proof_1 0.000105 s: order_dual.lattice._proof_2 0.001239 s: order_dual.lattice._proof_3 0.000374 s: order_dual.lattice._proof_4 0.000325 s: order_dual.lattice._proof_5 0.000270 s: order_dual.lattice._proof_6 0.000704 s: order_dual.lattice._proof_7 0.000081 s: order_dual.has_inf 0.000193 s: order_dual.semilattice_inf._proof_1 0.000177 s: order_dual.semilattice_inf._proof_2 0.000352 s: order_dual.semilattice_inf._proof_3 0.000314 s: order_dual.semilattice_inf._proof_4 0.001721 s: order_dual.semilattice_inf._proof_5 0.002905 s: order_dual.semilattice_inf 0.000404 s: order_dual.lattice._proof_8 0.000250 s: order_dual.lattice._proof_9 0.000340 s: order_dual.lattice._proof_10 0.004373 s: order_dual.lattice 0.000818 s: bounded_lattice.to_lattice 0.000096 s: order_dual.bounded_lattice._proof_1 0.000148 s: order_dual.bounded_lattice._proof_2 0.000508 s: order_dual.bounded_lattice._proof_3 0.000345 s: order_dual.bounded_lattice._proof_4 0.000254 s: order_dual.bounded_lattice._proof_5 0.000200 s: order_dual.bounded_lattice._proof_6 0.000511 s: order_dual.bounded_lattice._proof_7 0.000444 s: order_dual.bounded_lattice._proof_8 0.000259 s: order_dual.bounded_lattice._proof_9 0.000612 s: order_dual.bounded_lattice._proof_10 0.000425 s: bounded_lattice.to_order_bot 0.000422 s: order_dual.bounded_lattice._proof_11 0.000059 s: order_dual.has_bot 0.000110 s: order_dual.order_bot._proof_1 0.000092 s: order_dual.order_bot._proof_2 0.000444 s: order_dual.order_bot._proof_3 0.000198 s: order_dual.order_bot._proof_4 0.001336 s: order_dual.order_bot 0.000249 s: bounded_lattice.to_order_top 0.000345 s: order_dual.bounded_lattice._proof_12 0.005481 s: order_dual.bounded_lattice 0.000078 s: order_dual.complete_lattice._proof_1 0.000088 s: order_dual.complete_lattice._proof_2 0.000508 s: order_dual.complete_lattice._proof_3 0.000280 s: order_dual.complete_lattice._proof_4 0.000275 s: order_dual.complete_lattice._proof_5 0.000379 s: order_dual.complete_lattice._proof_6 0.000419 s: order_dual.complete_lattice._proof_7 0.000304 s: order_dual.complete_lattice._proof_8 0.000282 s: order_dual.complete_lattice._proof_9 0.000425 s: order_dual.complete_lattice._proof_10 0.000268 s: order_dual.complete_lattice._proof_11 0.000278 s: order_dual.complete_lattice._proof_12 0.000051 s: order_dual.has_Sup 0.000068 s: order_dual.has_Inf 0.016616 s: order_dual.complete_lattice 0.000135 s: galois_connection 0.001753 s: galois_insertion 0.000400 s: galois_insertion.le_l_u 0.000067 s: monotone 0.000152 s: galois_connection.l_le 0.000130 s: galois_connection.le_u 0.000172 s: galois_connection.le_u_l 0.000223 s: galois_connection.monotone_l 0.000306 s: galois_insertion.gc 0.002307 s: galois_insertion.lift_semilattice_sup._proof_1 0.000443 s: galois_insertion.lift_semilattice_sup._proof_2 0.000139 s: galois_connection.l_u_le 0.000245 s: galois_connection.monotone_u 0.001505 s: galois_insertion.lift_semilattice_sup._proof_3 0.001079 s: galois_insertion.lift_semilattice_sup 0.001701 s: galois_insertion.lift_lattice._proof_1 0.002089 s: galois_insertion.lift_lattice._proof_2 0.001764 s: galois_insertion.lift_lattice._proof_3 0.001964 s: galois_insertion.lift_lattice._proof_4 0.002006 s: galois_insertion.lift_lattice._proof_5 0.001863 s: galois_insertion.lift_lattice._proof_6 0.001997 s: galois_insertion.lift_lattice._proof_7 0.000347 s: galois_insertion.choice 0.000420 s: galois_insertion.lift_semilattice_inf._proof_1 0.000401 s: galois_insertion.choice_eq 0.002096 s: galois_insertion.lift_semilattice_inf._proof_2 0.002051 s: galois_insertion.lift_semilattice_inf._proof_3 0.002703 s: galois_insertion.lift_semilattice_inf._proof_4 0.001356 s: galois_insertion.lift_semilattice_inf 0.000480 s: galois_insertion.lift_lattice._proof_8 0.000435 s: galois_insertion.lift_lattice._proof_9 0.000565 s: galois_insertion.lift_lattice._proof_10 0.005929 s: galois_insertion.lift_lattice 0.003926 s: galois_insertion.lift_bounded_lattice._proof_1 0.003556 s: galois_insertion.lift_bounded_lattice._proof_2 0.003943 s: galois_insertion.lift_bounded_lattice._proof_3 0.003144 s: galois_insertion.lift_bounded_lattice._proof_4 0.002738 s: galois_insertion.lift_bounded_lattice._proof_5 0.002542 s: galois_insertion.lift_bounded_lattice._proof_6 0.003236 s: galois_insertion.lift_bounded_lattice._proof_7 0.002753 s: galois_insertion.lift_bounded_lattice._proof_8 0.002672 s: galois_insertion.lift_bounded_lattice._proof_9 0.002939 s: galois_insertion.lift_bounded_lattice._proof_10 0.000079 s: galois_insertion.lift_order_top._proof_1 0.001597 s: galois_insertion.lift_order_top._proof_2 0.000744 s: galois_insertion.lift_order_top 0.001816 s: galois_insertion.lift_bounded_lattice._proof_11 0.000193 s: galois_connection.lift_order_bot._proof_1 0.001147 s: galois_connection.lift_order_bot 0.000207 s: galois_insertion.lift_bounded_lattice._proof_12 0.000669 s: galois_insertion.lift_bounded_lattice._proof_13 0.007598 s: galois_insertion.lift_bounded_lattice 0.005665 s: galois_insertion.lift_complete_lattice._proof_1 0.005100 s: galois_insertion.lift_complete_lattice._proof_2 0.006183 s: galois_insertion.lift_complete_lattice._proof_3 0.005856 s: galois_insertion.lift_complete_lattice._proof_4 0.005362 s: galois_insertion.lift_complete_lattice._proof_5 0.005384 s: galois_insertion.lift_complete_lattice._proof_6 0.005342 s: galois_insertion.lift_complete_lattice._proof_7 0.005385 s: galois_insertion.lift_complete_lattice._proof_8 0.006308 s: galois_insertion.lift_complete_lattice._proof_9 0.005905 s: galois_insertion.lift_complete_lattice._proof_10 0.005548 s: galois_insertion.lift_complete_lattice._proof_11 0.005376 s: galois_insertion.lift_complete_lattice._proof_12 0.000076 s: supr 0.003073 s: le_supr 0.000320 s: le_supr_of_le 0.001079 s: galois_insertion.lift_complete_lattice._proof_13 0.004306 s: supr_le 0.009553 s: galois_insertion.lift_complete_lattice._proof_14 0.000497 s: le_infi 0.000163 s: infi_le 0.000160 s: infi_le_of_le 0.000751 s: galois_insertion.lift_complete_lattice._proof_15 0.013133 s: galois_insertion.lift_complete_lattice._proof_16 0.011217 s: galois_insertion.lift_complete_lattice._proof_17 0.012156 s: galois_insertion.lift_complete_lattice 0.002075 s: filter.generate_sets 0.000101 s: filter.generate._proof_1 0.000060 s: filter.generate._proof_2 0.000252 s: filter.generate 0.011142 s: bounded_distrib_lattice 0.001647 s: bounded_distrib_lattice.sup 0.001548 s: bounded_distrib_lattice.le 0.001269 s: bounded_distrib_lattice.lt 0.001512 s: bounded_distrib_lattice.le_refl 0.001352 s: bounded_distrib_lattice.le_trans 0.001505 s: bounded_distrib_lattice.lt_iff_le_not_le 0.002004 s: bounded_distrib_lattice.le_antisymm 0.002251 s: bounded_distrib_lattice.le_sup_left 0.002552 s: bounded_distrib_lattice.le_sup_right 0.002853 s: bounded_distrib_lattice.sup_le 0.001432 s: bounded_distrib_lattice.inf 0.002416 s: bounded_distrib_lattice.inf_le_left 0.002429 s: bounded_distrib_lattice.inf_le_right 0.002927 s: bounded_distrib_lattice.le_inf 0.001669 s: bounded_distrib_lattice.top 0.002870 s: bounded_distrib_lattice.le_top 0.001374 s: bounded_distrib_lattice.bot 0.003306 s: bounded_distrib_lattice.bot_le 0.001912 s: bounded_distrib_lattice.to_bounded_lattice 0.000123 s: semilattice_inf_bot_of_bounded_lattice._proof_1 0.002204 s: semilattice_inf_bot_of_bounded_lattice 0.000136 s: has_compl 0.000051 s: has_compl.compl 0.000056 s: semilattice_sup_bot_of_bounded_lattice._proof_1 0.001732 s: semilattice_sup_bot_of_bounded_lattice 0.019664 s: boolean_algebra.core 0.002883 s: boolean_algebra.core.compl 0.000039 s: boolean_algebra.core.to_has_compl 0.037660 s: boolean_algebra 0.006265 s: boolean_algebra.sup 0.000044 s: set.has_le 0.000079 s: set.has_lt 0.005816 s: boolean_algebra.le 0.004974 s: boolean_algebra.bot 0.000086 s: pi.preorder._proof_1 0.000227 s: pi.preorder._proof_2 0.000243 s: pi.preorder._proof_3 0.000436 s: pi.preorder 0.000208 s: pi.partial_order._proof_1 0.000229 s: pi.partial_order._proof_2 0.000504 s: pi.partial_order._proof_3 0.000852 s: pi.partial_order._proof_4 0.000639 s: pi.partial_order 0.005508 s: boolean_algebra.lt 0.004925 s: boolean_algebra.le_refl 0.000081 s: pi.boolean_algebra._proof_1 0.004691 s: boolean_algebra.le_trans 0.000156 s: pi.boolean_algebra._proof_2 0.006527 s: boolean_algebra.lt_iff_le_not_le 0.000660 s: pi.boolean_algebra._proof_3 0.005472 s: boolean_algebra.le_antisymm 0.000391 s: pi.boolean_algebra._proof_4 0.000790 s: pi.boolean_algebra._proof_5 0.000993 s: pi.boolean_algebra._proof_6 0.001793 s: pi.boolean_algebra._proof_7 0.001096 s: pi.boolean_algebra._proof_8 0.006619 s: boolean_algebra.bot_le 0.004563 s: pi.boolean_algebra._proof_9 0.006951 s: boolean_algebra.le_sup_left 0.004620 s: pi.boolean_algebra._proof_10 0.006328 s: boolean_algebra.le_sup_right 0.005320 s: pi.boolean_algebra._proof_11 0.007452 s: boolean_algebra.sup_le 0.007498 s: pi.boolean_algebra._proof_12 0.006455 s: boolean_algebra.inf 0.007032 s: boolean_algebra.inf_le_left 0.005156 s: pi.boolean_algebra._proof_13 0.006324 s: boolean_algebra.inf_le_right 0.004894 s: pi.boolean_algebra._proof_14 0.007636 s: boolean_algebra.le_inf 0.005176 s: pi.boolean_algebra._proof_15 0.026635 s: boolean_algebra.le_sup_inf 0.040774 s: pi.boolean_algebra._proof_16 0.010077 s: boolean_algebra.sdiff 0.015835 s: boolean_algebra.sup_inf_sdiff 0.041481 s: pi.boolean_algebra._proof_17 0.018781 s: boolean_algebra.inf_inf_sdiff 0.025256 s: pi.boolean_algebra._proof_18 0.010278 s: boolean_algebra.top 0.007234 s: boolean_algebra.le_top 0.005196 s: pi.boolean_algebra._proof_19 0.005910 s: boolean_algebra.compl 0.074038 s: boolean_algebra.inf_compl_le_bot 0.077303 s: pi.boolean_algebra._proof_20 0.097591 s: boolean_algebra.top_le_sup_compl 0.085071 s: pi.boolean_algebra._proof_21 0.250449 s: boolean_algebra.sdiff_eq 0.205395 s: pi.boolean_algebra._proof_22 0.041081 s: pi.boolean_algebra 0.007712 s: boolean_algebra.core.bot 0.005108 s: boolean_algebra.core.le 0.003704 s: boolean_algebra.core.lt 0.002981 s: boolean_algebra.core.le_refl 0.003208 s: boolean_algebra.core.le_trans 0.003030 s: boolean_algebra.core.lt_iff_le_not_le 0.002780 s: boolean_algebra.core.le_antisymm 0.003248 s: boolean_algebra.core.bot_le 0.002208 s: boolean_algebra.core.sup 0.003262 s: boolean_algebra.core.le_sup_left 0.003653 s: boolean_algebra.core.le_sup_right 0.003538 s: boolean_algebra.core.sup_le 0.002317 s: boolean_algebra.core.inf 0.003281 s: boolean_algebra.core.inf_le_left 0.003341 s: boolean_algebra.core.inf_le_right 0.004781 s: boolean_algebra.core.le_inf 0.024005 s: boolean_algebra.core.le_sup_inf 0.005886 s: boolean_algebra.core.top 0.003822 s: boolean_algebra.core.le_top 0.001173 s: boolean_algebra.core.to_bounded_distrib_lattice 0.000881 s: distrib_lattice.to_lattice 0.022551 s: bounded_distrib_lattice.le_sup_inf 0.001336 s: bounded_distrib_lattice.to_distrib_lattice 0.003405 s: inf_eq_left 0.001583 s: inf_sup_self 0.001453 s: inf_assoc 0.001390 s: sup_inf_le 0.000488 s: le_sup_inf 0.000242 s: sup_inf_left 0.000562 s: sup_inf_right 0.001583 s: sup_inf_self 0.001014 s: inf_sup_left 0.076050 s: boolean_algebra.core.top_le_sup_compl 0.004999 s: sup_compl_eq_top 0.000840 s: semilattice_inf_top.to_semilattice_inf 0.000100 s: semilattice_inf_top_of_bounded_lattice._proof_1 0.002204 s: semilattice_inf_top_of_bounded_lattice 0.001088 s: semilattice_inf_top.top 0.002024 s: semilattice_inf_top.le_top 0.000351 s: semilattice_inf_top.to_order_top 0.000156 s: inf_of_le_left 0.001090 s: inf_top_eq 0.028643 s: boolean_algebra.of_core._proof_1 0.000722 s: inf_comm 0.004294 s: inf_left_right_swap 0.077834 s: boolean_algebra.core.inf_compl_le_bot 0.000469 s: inf_compl_eq_bot 0.000273 s: compl_inf_eq_bot 0.000240 s: inf_of_le_right 0.004756 s: inf_bot_eq 0.000950 s: bot_inf_eq 0.010494 s: boolean_algebra.of_core._proof_2 0.068195 s: boolean_algebra.of_core._proof_3 0.009538 s: boolean_algebra.of_core 0.000034 s: distrib_lattice.lt._default 0.000012 s: bounded_distrib_lattice_Prop._proof_1 0.000093 s: bounded_distrib_lattice_Prop._proof_2 0.000047 s: bounded_distrib_lattice_Prop._proof_3 0.000484 s: bounded_distrib_lattice_Prop._proof_4 0.000028 s: bounded_distrib_lattice_Prop._proof_5 0.000870 s: bounded_distrib_lattice_Prop._proof_6 0.003667 s: bounded_distrib_lattice_Prop._proof_7 0.000013 s: bounded_distrib_lattice_Prop._proof_8 0.002622 s: bounded_distrib_lattice_Prop 0.000037 s: boolean_algebra_Prop._proof_1 0.000054 s: boolean_algebra_Prop._proof_2 0.000172 s: boolean_algebra_Prop._proof_3 0.000204 s: boolean_algebra_Prop._proof_4 0.000214 s: boolean_algebra_Prop._proof_5 0.000193 s: boolean_algebra_Prop._proof_6 0.000279 s: boolean_algebra_Prop._proof_7 0.000237 s: boolean_algebra_Prop._proof_8 0.000321 s: boolean_algebra_Prop._proof_9 0.000246 s: boolean_algebra_Prop._proof_10 0.001016 s: boolean_algebra_Prop._proof_11 0.000301 s: boolean_algebra_Prop._proof_12 0.000237 s: boolean_algebra_Prop._proof_13 0.002964 s: boolean_algebra_Prop._match_1 0.001227 s: boolean_algebra_Prop._proof_14 0.001008 s: boolean_algebra_Prop._proof_15 0.005790 s: boolean_algebra_Prop 0.000127 s: set.boolean_algebra._proof_1 0.000112 s: set.boolean_algebra._proof_2 0.000395 s: set.boolean_algebra._proof_3 0.000308 s: set.boolean_algebra._proof_4 0.000345 s: set.boolean_algebra._proof_5 0.000164 s: set.union 0.000032 s: set.has_union 0.000437 s: set.boolean_algebra._proof_6 0.000306 s: set.boolean_algebra._proof_7 0.000451 s: set.boolean_algebra._proof_8 0.000369 s: set.boolean_algebra._proof_9 0.000282 s: set.boolean_algebra._proof_10 0.000497 s: set.boolean_algebra._proof_11 0.001127 s: set.boolean_algebra._proof_12 0.000240 s: has_sep 0.000066 s: has_sep.sep 0.000063 s: set.sep 0.000053 s: set.has_sep 0.000062 s: set.diff 0.000041 s: set.has_sdiff 0.001458 s: set.boolean_algebra._proof_13 0.000782 s: set.boolean_algebra._proof_14 0.000399 s: set.boolean_algebra._proof_15 0.000054 s: set.compl 0.001629 s: set.boolean_algebra._proof_16 0.001849 s: set.boolean_algebra._proof_17 0.004489 s: set.boolean_algebra._proof_18 0.190052 s: set.boolean_algebra 0.000260 s: set.lattice_set._proof_1 0.000106 s: set.lattice_set._proof_2 0.020259 s: set.lattice_set._proof_3 0.000297 s: set.lattice_set._proof_4 0.000372 s: set.lattice_set._proof_5 0.000215 s: set.lattice_set._proof_6 0.000389 s: set.lattice_set._proof_7 0.000229 s: set.lattice_set._proof_8 0.000356 s: set.lattice_set._proof_9 0.000248 s: set.lattice_set._proof_10 0.000327 s: set.lattice_set._proof_11 0.000218 s: set.lattice_set._proof_12 0.000163 s: set.lattice_set._proof_13 0.002593 s: set.lattice_set._match_1 0.000943 s: set.lattice_set._proof_14 0.000195 s: set.lattice_set._proof_15 0.000811 s: set.lattice_set._proof_16 0.004627 s: set.lattice_set 0.000489 s: filter.mk_of_closure._proof_1 0.000403 s: filter.mk_of_closure._proof_2 0.000382 s: filter.mk_of_closure._proof_3 0.000239 s: filter.mk_of_closure 0.000270 s: filter.generate_sets.rec_on 0.002142 s: filter.sets_iff_generate 0.001266 s: filter.gi_generate._proof_1 0.000112 s: filter.gi_generate._proof_2 0.000242 s: filter.gi_generate._proof_3 0.000127 s: filter.filter_eq_iff 0.000153 s: set.ext_iff 0.000244 s: filter.mem_sets 0.000853 s: filter.ext_iff 0.000089 s: filter.ext 0.000473 s: filter.mk_of_closure_sets 0.001584 s: filter.gi_generate._proof_4 0.001972 s: filter.gi_generate 0.003390 s: _private.1462318553.original_complete_lattice 0.000048 s: filter.complete_lattice._proof_1 0.000041 s: filter.has_top._proof_1 0.000162 s: filter.has_top._proof_2 0.000146 s: set.mem_inter 0.000151 s: filter.has_top._proof_3 0.000176 s: filter.has_top 0.000319 s: filter.mem_top_sets_iff_forall 0.000236 s: filter.mem_top_sets 0.007811 s: filter.complete_lattice._proof_2 0.000043 s: filter.complete_lattice._proof_3 0.000059 s: filter.complete_lattice._proof_4 0.000203 s: set.inter_subset_left 0.000666 s: filter.has_inf._proof_1 0.001177 s: filter.has_inf._match_1 0.000386 s: filter.has_inf._proof_2 0.000299 s: set.inter_assoc 0.000068 s: set.inter_is_assoc 0.000213 s: set.inter_comm 0.000055 s: set.inter_is_comm 0.000246 s: set.inter_subset_inter 0.001623 s: filter.has_inf._match_2 0.001253 s: filter.has_inf._match_3 0.000378 s: filter.has_inf._proof_3 0.000601 s: filter.has_inf 0.000479 s: filter.mem_inf_sets_of_left 0.000176 s: set.inter_subset_right 0.000446 s: filter.mem_inf_sets_of_right 0.007702 s: filter.complete_lattice._match_1 0.035772 s: filter.complete_lattice._proof_5 0.000112 s: set.set_of_true 0.008503 s: filter.join._proof_1 0.001424 s: filter.join._proof_2 0.000744 s: filter.join._match_1 0.000699 s: filter.join._proof_3 0.000469 s: filter.join 0.000088 s: set.Inter 0.001288 s: set.mem_Inter 0.000705 s: set.mem_bInter_iff 0.003035 s: filter.complete_lattice._proof_6 0.000050 s: filter.complete_lattice._proof_7 0.026579 s: filter.complete_lattice 0.000142 s: filter.lift 0.000125 s: filter.lift' 0.000170 s: comp_rel 0.006439 s: uniform_space.core 0.000156 s: topological_space.is_open 0.000324 s: uniform_space.core.uniformity 0.001597 s: uniform_space 0.000272 s: uniform_space.to_core 0.000036 s: uniformity 0.013276 s: pseudo_emetric_space 0.000622 s: pseudo_emetric_space.to_has_edist 0.000782 s: emetric_space 0.000170 s: has_dist 0.000058 s: has_dist.dist 0.000052 s: ennreal.has_coe 0.000070 s: ennreal.of_real 0.002462 s: pseudo_metric_space 0.000704 s: pseudo_metric_space.to_has_dist 0.000578 s: metric_space 0.000070 s: set.has_coe_to_sort 0.000076 s: emetric.ball 0.000161 s: emetric_space.to_pseudo_emetric_space 0.000073 s: ennreal.to_nnreal._main 0.000009 s: ennreal.to_nnreal 0.000034 s: ennreal.to_real 0.000692 s: pseudo_emetric_space.edist_self 0.002584 s: ennreal.zero_to_real 0.000692 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_1 0.000623 s: pseudo_emetric_space.edist_comm 0.000524 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_2 0.000362 s: can_lift 0.000087 s: can_lift.coe 0.000060 s: option.is_some._main 0.000017 s: option.is_some 0.000268 s: option.get._main 0.000046 s: option.get 0.000094 s: option.is_some_none 0.000050 s: option.is_some_some 0.000169 s: coe_sort_tt 0.000736 s: option.ne_none_iff_is_some 0.000631 s: option.some_get 0.001827 s: ennreal.nnreal.can_lift._proof_1 0.000120 s: ennreal.nnreal.can_lift 0.000108 s: can_lift.cond 0.000351 s: can_lift.prf 0.003742 s: ennreal.to_real_add 0.000078 s: nnreal.has_le 0.026291 s: ennreal.coe_le_coe 0.005892 s: ennreal.to_real_le_to_real 0.002191 s: with_top.add_eq_top 0.002553 s: ennreal.add_eq_top 0.000932 s: pseudo_emetric_space.edist_triangle 0.001242 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_3 0.000093 s: ennreal.to_real.equations._eqn_1 0.000062 s: ennreal.of_real.equations._eqn_1 0.000734 s: nnreal.of_real_coe 0.001099 s: ennreal.coe_to_nnreal 0.000629 s: ennreal.of_real_to_real 0.000929 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_4 0.001269 s: uniform_space.core.to_topological_space._proof_1 0.000607 s: filter.mp_sets 0.000151 s: filter.univ_mem_sets' 0.000144 s: set.mem_inter_eq 0.000079 s: prod.cases_on 0.000121 s: prod.forall 0.001731 s: uniform_space.core.to_topological_space._match_1 0.000465 s: uniform_space.core.to_topological_space._proof_2 0.001136 s: uniform_space.core.to_topological_space._match_2 0.000291 s: uniform_space.core.to_topological_space._proof_3 0.000463 s: uniform_space.core.to_topological_space 0.000051 s: uniform_space.of_core._proof_1 0.000219 s: uniform_space.of_core 0.000094 s: gt.equations._eqn_1 0.000095 s: id_rel.equations._eqn_1 0.000608 s: filter.le_principal_iff 0.000193 s: filter.mem_principal_sets 0.000202 s: set.subset_def 0.168457 s: uniform_space_of_dist._proof_1 0.000180 s: filter.tendsto.equations._eqn_1 0.000381 s: le_infi_iff 0.171989 s: filter.tendsto_infi 0.000238 s: set.preimage_univ 0.002354 s: filter.comap._proof_1 0.000609 s: filter.comap._match_1 0.000391 s: filter.comap._proof_2 0.001390 s: filter.comap._match_2 0.000959 s: filter.comap._match_3 0.000400 s: filter.comap._proof_3 0.000456 s: filter.comap 0.001752 s: filter.map_le_iff_le_comap 0.000193 s: filter.gc_map_comap 0.000182 s: filter.map_mono 0.000231 s: filter.tendsto.mono_left 0.164879 s: filter.tendsto_infi' 0.000067 s: filter.eventually 0.000896 s: filter.mem_map 0.000104 s: filter.eventually.equations._eqn_1 0.002306 s: filter.tendsto_principal 0.000236 s: filter.eventually_principal 0.000487 s: filter.tendsto_principal_principal 0.000169 s: prod.fst_swap 0.000118 s: prod.snd_swap 0.002024 s: uniform_space_of_dist._proof_2 0.300102 s: filter.lift_le 0.000484 s: filter.lift'_le 0.175858 s: filter.mem_infi_sets 0.000228 s: comp_rel.equations._eqn_1 0.000192 s: set.set_of_subset_set_of 0.374931 s: uniform_space_of_dist._proof_3 0.168205 s: uniform_space_of_dist 0.002673 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_5 0.002034 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_6 0.003458 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_7 0.004256 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_8 0.000828 s: pseudo_emetric_space.to_uniform_space 0.000066 s: pseudo_emetric_space.to_uniform_space' 0.000688 s: pseudo_metric_space.edist 0.000033 s: pseudo_metric_space.to_has_edist 0.000810 s: pseudo_metric_space.edist_dist 0.000290 s: edist_dist 0.000425 s: pseudo_metric_space.dist_self 0.000072 s: dist_self 0.000470 s: nnreal.of_real.equations._eqn_1 0.002079 s: nnreal.of_real_zero 0.002473 s: ennreal.coe_zero 0.000386 s: ennreal.of_real_zero 0.000504 s: pseudo_metric_space.to_pseudo_emetric_space._proof_1 0.000602 s: pseudo_metric_space.dist_comm 0.000049 s: dist_comm 0.000744 s: pseudo_metric_space.to_pseudo_emetric_space._proof_2 0.001751 s: ennreal.coe_add 0.000167 s: ennreal.coe_eq_coe 0.000295 s: subtype.coe_mk 0.000240 s: nnreal.coe_add 0.007116 s: nnreal.of_real_add 0.001365 s: ennreal.of_real_add 0.000812 s: pseudo_metric_space.dist_triangle 0.000116 s: dist_triangle 0.064138 s: dist_nonneg 0.000528 s: nnreal.coe_le_coe 0.011503 s: nnreal.of_real_le_of_real_iff 0.002045 s: ennreal.of_real_le_of_real_iff 0.012994 s: pseudo_metric_space.to_pseudo_emetric_space._proof_3 0.002371 s: pseudo_metric_space.to_uniform_space 0.000033 s: metric_space.to_uniform_space' 0.000776 s: filter.has_basis 0.000660 s: infi_subtype 0.001019 s: infi_subtype' 0.162116 s: filter.eq_Inf_of_mem_sets_iff_exists_mem 0.000195 s: set.mem_range 0.003139 s: exists_exists_eq_and 0.000741 s: set.exists_range_iff 0.000791 s: filter.eq_infi_of_mem_sets_iff_exists_mem 0.156259 s: filter.eq_binfi_of_mem_sets_iff_exists_mem 0.000373 s: filter.has_basis.mem_iff' 0.000179 s: filter.has_basis.mem_iff 0.005196 s: filter.has_basis.eq_binfi 0.000806 s: filter.has_basis.mem_uniformity_iff 0.001383 s: pseudo_metric_space.uniformity_dist 0.000090 s: directed_on 0.000044 s: order.preimage 0.000060 s: directed 0.000090 s: set.Union 0.000077 s: nonempty.dcases_on 0.001791 s: set.mem_Union 0.000588 s: filter.mem_mk 0.004125 s: filter.infi_sets_eq 0.001045 s: filter.mem_infi 0.000169 s: directed_on.equations._eqn_1 0.000105 s: directed.equations._eqn_1 0.000550 s: subtype.exists 0.000460 s: set_coe.exists 0.000152 s: subtype.forall 0.000372 s: set_coe.forall 0.000165 s: forall_prop_congr 0.000113 s: forall_prop_congr' 0.004501 s: directed_on_iff_directed 0.000642 s: directed_on.directed_coe 0.000369 s: nonempty_subtype 0.000488 s: set.nonempty.to_subtype 0.166856 s: filter.mem_binfi 0.000254 s: directed_comp 0.000092 s: function.comp.equations._eqn_1 0.000367 s: directed.mono 0.000214 s: directed.mono_comp 0.001419 s: filter.principal_mono 0.002352 s: filter.has_basis_binfi_principal 0.000139 s: le_or_gt 0.000938 s: lt_min 0.000245 s: no_top_order 0.000042 s: set.Ioi 0.000069 s: no_top_order.no_top 0.000041 s: no_top 0.000176 s: set.nonempty_Ioi 0.005019 s: linear_ordered_semiring.to_no_top_order 0.006638 s: metric.uniformity_basis_dist 0.000932 s: metric.mem_uniformity_dist 0.026611 s: ennreal.coe_lt_coe 0.007630 s: ennreal.coe_pos 0.001159 s: nnreal.coe_lt_coe 0.000020 s: as_linear_order 0.000091 s: total_of 0.000098 s: as_linear_order.linear_order._proof_1 0.002531 s: as_linear_order.linear_order 0.003778 s: lt_sup_iff 0.003276 s: lt_max_iff 0.002634 s: nnreal.of_real_pos 0.000556 s: ennreal.of_real_pos 0.002717 s: nnreal.of_real_lt_of_real_iff' 0.000141 s: nnreal.of_real_lt_of_real_iff 0.001019 s: ennreal.of_real_lt_of_real_iff 0.022435 s: ennreal.lt_iff_exists_coe 0.006479 s: with_top.densely_ordered._match_2 0.002395 s: with_top.densely_ordered._match_3 0.002757 s: with_top.densely_ordered._match_1 0.000161 s: with_top.densely_ordered 0.002405 s: nnreal.densely_ordered._match_1 0.009509 s: nnreal.densely_ordered 0.003168 s: nnreal.no_top_order._match_1 0.004555 s: nnreal.no_top_order 0.023182 s: ennreal.densely_ordered 0.000962 s: nnreal.coe_of_real 0.005690 s: inv_div 0.007081 s: rat.cast_inv_of_ne_zero 0.006197 s: rat.cast_div_of_ne_zero 0.000161 s: rat.coe_int_denom 0.000093 s: rat.coe_int_num 0.000404 s: rat.coe_nat_num 0.000057 s: has_lt.lt.trans 0.000193 s: rat.coe_nat_denom 0.007307 s: lt_neg_add_iff_add_lt 0.002282 s: lt_sub_iff_add_lt' 0.004455 s: div_lt_iff' 0.699593 s: exists_rat_btwn 0.337812 s: nnreal.lt_iff_exists_rat_btwn 0.028825 s: ennreal.lt_iff_exists_rat_btwn 0.005964 s: ennreal.lt_iff_exists_real_btwn 0.008272 s: pseudo_metric.uniformity_basis_edist 0.000730 s: metric.uniformity_edist 0.000390 s: pseudo_metric_space.to_pseudo_emetric_space 0.001069 s: pseudo_metric_space.replace_uniformity._proof_1 0.000700 s: pseudo_metric_space.replace_uniformity 0.001104 s: pseudo_emetric_space.uniformity_edist 0.000246 s: uniformity_pseudoedist 0.005091 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_9 0.001911 s: pseudo_emetric_space.to_pseudo_metric_space_of_dist 0.000218 s: emetric_space.to_metric_space_of_dist._proof_1 0.000185 s: emetric_space.to_metric_space_of_dist._proof_2 0.000208 s: emetric_space.to_metric_space_of_dist._proof_3 0.000283 s: emetric_space.to_metric_space_of_dist._proof_4 0.000602 s: emetric_space.to_metric_space_of_dist._proof_5 0.000129 s: nnreal.coe_eq 0.000743 s: nnreal.coe_eq_zero 0.001708 s: ennreal.none_eq_top 0.000918 s: ennreal.top_to_nnreal 0.000260 s: ennreal.some_eq_coe 0.000126 s: ennreal.to_nnreal_coe 0.000501 s: with_top.zero_ne_top 0.002490 s: ennreal.zero_to_nnreal 0.004126 s: ennreal.to_nnreal_eq_zero_iff 0.000548 s: ennreal.to_real_eq_zero_iff 0.000244 s: emetric_space.eq_of_edist_eq_zero 0.000277 s: edist_eq_zero 0.001900 s: emetric_space.to_metric_space_of_dist._proof_6 0.001319 s: emetric_space.to_metric_space_of_dist 0.000057 s: emetric_space.to_metric_space._proof_1 0.000136 s: emetric_space.to_metric_space 0.000145 s: emetric_space.induced._proof_1 0.000107 s: emetric_space.induced._proof_2 0.000125 s: emetric_space.induced._proof_3 0.000200 s: topological_space.is_open_univ 0.000161 s: topological_space.induced._proof_1 0.000212 s: topological_space.is_open_inter 0.000513 s: set.preimage_inter 0.000781 s: topological_space.induced._proof_2 0.000159 s: classical.axiom_of_choice 0.000300 s: classical.skolem 0.000090 s: set.preimage.equations._eqn_1 0.002318 s: set.preimage_Union 0.001251 s: infi_subtype'' 0.000209 s: infi.equations._eqn_1 0.000189 s: forall_swap 0.000165 s: forall_apply_eq_imp_iff 0.000829 s: forall_apply_eq_imp_iff' 0.000853 s: set.forall_range_iff 0.000214 s: set.mem_range_self 0.000132 s: forall_apply_eq_imp_iff₂ 0.000967 s: set.ball_image_iff 0.000742 s: set.range_comp 0.000187 s: set.image.equations._eqn_1 0.000123 s: set.range.equations._eqn_1 0.001138 s: set.image_univ 0.001285 s: subtype.coe_image 0.000231 s: set.set_of_mem_eq 0.001908 s: subtype.range_coe 0.001995 s: Inf_image 0.004629 s: Sup_image 0.001437 s: set.sUnion_image 0.000521 s: set.image_id' 0.000404 s: set.sUnion_eq_bUnion 0.000030 s: is_open 0.000392 s: topological_space.is_open_sUnion 0.000106 s: is_open_sUnion 0.000967 s: is_open_Union 0.002786 s: topological_space.induced._proof_3 0.000498 s: topological_space.induced 0.000332 s: uniform_space.to_topological_space 0.001595 s: filter.comap_principal 0.000285 s: mem_id_rel 0.000920 s: id_rel_subset 0.000244 s: set.mem_preimage 0.000192 s: filter.comap_mono 0.000290 s: uniform_space.core.refl 0.001352 s: uniform_space.comap._proof_1 0.000113 s: prod.swap.equations._eqn_1 0.002861 s: filter.map_compose 0.000274 s: filter.map_map 0.000788 s: filter.tendsto.comp 0.000137 s: filter.map_comap_le 0.000166 s: filter.tendsto_comap 0.000558 s: filter.tendsto_comap_iff 0.000333 s: uniform_space.core.symm 0.000223 s: symm_le_uniformity 0.000062 s: tendsto_swap_uniformity 0.001416 s: uniform_space.comap._proof_2 0.000330 s: filter.mem_comap_sets 0.000241 s: filter.has_basis.mem_of_superset 0.000101 s: filter.has_basis.mem_of_mem 0.000914 s: filter.has_basis.exists_iff 0.005944 s: filter.has_basis.mem_lift_iff 0.000672 s: filter.exists_sets_subset_iff 0.000249 s: filter.basis_sets 0.000052 s: id.equations._eqn_1 0.002010 s: filter.mem_lift_sets 0.000329 s: monotone.comp 0.002914 s: filter.comap_lift_eq 0.001702 s: filter.monotone_principal 0.000144 s: filter.lift'.equations._eqn_1 0.001730 s: filter.comap_lift'_eq 0.004672 s: monotone_comp_rel 0.000099 s: monotone_id 0.169851 s: filter.comap_lift_eq2 0.006029 s: filter.comap_lift'_eq2 0.000287 s: infi_le_infi 0.315463 s: filter.lift'_mono' 0.010776 s: uniform_space.comap._match_2 0.000884 s: uniform_space.comap._match_3 0.000426 s: uniform_space.core.comp 0.001210 s: uniform_space.comap._proof_3 0.000139 s: nhds 0.000073 s: interior 0.000230 s: is_open_interior 0.002821 s: set.sUnion_subset 0.000288 s: interior_subset 0.000877 s: set.subset_sUnion_of_mem 0.000215 s: interior_maximal 0.000144 s: is_open.interior_eq 0.000135 s: interior_eq_iff_open 0.000577 s: subset_interior_iff_open 0.000190 s: interior.equations._eqn_1 0.001123 s: mem_interior 0.000193 s: nhds.equations._eqn_1 0.000378 s: nhds_def 0.000133 s: is_open_inter 0.000037 s: is_open_univ 0.001471 s: nhds_basis_opens 0.000945 s: mem_nhds_sets_iff 0.000850 s: interior_eq_nhds' 0.000527 s: interior_eq_nhds 0.000522 s: is_open_iff_nhds 0.000478 s: uniform_space.is_open_uniformity 0.000269 s: is_open_uniformity 0.000119 s: refl_le_uniformity 0.000476 s: refl_mem_uniformity 0.000901 s: filter.mem_lift'_sets 0.000145 s: comp_le_uniformity 0.000837 s: comp_mem_uniformity_sets 0.004256 s: mem_nhds_uniformity_iff_right 0.000359 s: is_open_induced_iff 0.002961 s: mem_nhds_induced 0.001011 s: nhds_induced 0.000786 s: filter.comap.equations._eqn_1 0.000303 s: ball_congr 0.000075 s: uniform_space.ball 0.002105 s: nhds_eq_comap_uniformity_aux 0.000521 s: nhds_eq_comap_uniformity 0.000736 s: uniform_space.mem_nhds_iff 0.000368 s: uniform_space.ball_mem_nhds 0.000272 s: mem_nhds_left 0.017164 s: uniform_space.comap._proof_4 0.001728 s: uniform_space.comap 0.180941 s: uniformity_dist_of_mem_uniformity 0.003350 s: canonically_ordered_semiring.zero_lt_one 0.000110 s: nonempty.elim_to_inhabited 0.000350 s: option.nontrivial 0.000083 s: with_top.nontrivial 0.000175 s: ennreal.nontrivial 0.028506 s: ennreal.zero_lt_one 0.022951 s: uniformity_basis_edist 0.007867 s: mem_uniformity_edist 0.002828 s: edist_mem_uniformity 0.003161 s: emetric_space.induced._match_1 0.002724 s: emetric_space.induced._proof_4 0.005021 s: emetric_space.induced._proof_5 0.001819 s: emetric_space.induced 0.000329 s: subtype.ext_iff 0.000328 s: subtype.ext_iff_val 0.000221 s: subtype.emetric_space._proof_1 0.000366 s: subtype.emetric_space 0.000548 s: lt_top_iff_ne_top 0.000214 s: pseudo_emetric_space.induced._proof_1 0.000058 s: pseudo_emetric_space.induced._proof_2 0.000106 s: pseudo_emetric_space.induced._proof_3 0.003298 s: pseudo_emetric_space.induced._match_1 0.002226 s: pseudo_emetric_space.induced._proof_4 0.000758 s: pseudo_emetric_space.induced 0.000109 s: subtype.pseudo_emetric_space 0.000305 s: edist_triangle_left 0.003221 s: ennreal.top_add 0.002112 s: with_top.add_lt_top 0.025222 s: ennreal.add_lt_top 0.025522 s: ennreal.coe_lt_top 0.003235 s: ennreal.add_top 0.000197 s: ne_top_of_lt 0.017783 s: ennreal.add_lt_add 0.013908 s: edist_ne_top_of_mem_ball 0.002046 s: metric_space_emetric_ball 0.000481 s: expr.coord 0.000098 s: expr.coord.cases_on 0.000305 s: expr.coord.repr._sunfold 0.000512 s: omega.nat.preterm 0.001139 s: omega.nat.preform 0.000241 s: omega.nat.preform.cases_on 0.000114 s: omega.nat.preform.below 0.000898 s: omega.nat.preform.brec_on 0.000091 s: pprod.snd 0.000439 s: omega.nat.push_neg._main 0.000010 s: omega.nat.push_neg 0.000377 s: omega.nat.nnf._main 0.000010 s: omega.nat.nnf 0.000073 s: omega.nat.nnf._sunfold 0.002064 s: right_cancel_monoid 0.000527 s: right_cancel_monoid.mul 0.000612 s: right_cancel_monoid.mul_assoc 0.000477 s: right_cancel_monoid.one 0.000656 s: right_cancel_monoid.one_mul 0.000552 s: right_cancel_monoid.mul_one 0.000314 s: right_cancel_monoid.npow 0.000736 s: right_cancel_monoid.npow_zero' 0.000708 s: right_cancel_monoid.npow_succ' 0.000212 s: right_cancel_monoid.to_monoid 0.002042 s: cancel_monoid 0.000360 s: cancel_monoid.mul 0.000528 s: cancel_monoid.mul_assoc 0.000595 s: cancel_monoid.mul_right_cancel 0.000350 s: cancel_monoid.one 0.000659 s: cancel_monoid.one_mul 0.000528 s: cancel_monoid.mul_one 0.000358 s: cancel_monoid.npow 0.000809 s: cancel_monoid.npow_zero' 0.000834 s: cancel_monoid.npow_succ' 0.000233 s: cancel_monoid.to_right_cancel_monoid 0.002062 s: cancel_comm_monoid 0.000525 s: cancel_comm_monoid.mul 0.000714 s: cancel_comm_monoid.mul_assoc 0.000698 s: cancel_comm_monoid.mul_left_cancel 0.000389 s: cancel_comm_monoid.one 0.000719 s: cancel_comm_monoid.one_mul 0.000511 s: cancel_comm_monoid.mul_one 0.000359 s: cancel_comm_monoid.npow 0.000744 s: cancel_comm_monoid.npow_zero' 0.000708 s: cancel_comm_monoid.npow_succ' 0.000593 s: left_cancel_semigroup 0.000110 s: left_cancel_semigroup.mul 0.000244 s: left_cancel_semigroup.mul_assoc 0.000058 s: left_cancel_semigroup.to_semigroup 0.000312 s: left_cancel_semigroup.mul_left_cancel 0.000096 s: mul_left_cancel 0.001697 s: left_cancel_monoid 0.000317 s: left_cancel_monoid.mul 0.000518 s: left_cancel_monoid.mul_assoc 0.000654 s: left_cancel_monoid.mul_left_cancel 0.000081 s: left_cancel_monoid.to_left_cancel_semigroup 0.000218 s: cancel_comm_monoid.to_left_cancel_monoid 0.000612 s: cancel_comm_monoid.mul_comm 0.000209 s: cancel_comm_monoid.to_comm_monoid 0.000944 s: cancel_comm_monoid.to_cancel_monoid._proof_1 0.000240 s: cancel_comm_monoid.to_cancel_monoid 0.008797 s: linear_ordered_cancel_comm_monoid 0.009676 s: ordered_cancel_comm_monoid 0.001535 s: ordered_cancel_comm_monoid.mul 0.000101 s: order_dual.ordered_comm_monoid._proof_1 0.000101 s: order_dual.ordered_comm_monoid._proof_2 0.000129 s: order_dual.ordered_comm_monoid._proof_3 0.000235 s: order_dual.ordered_comm_monoid._proof_4 0.000183 s: order_dual.ordered_comm_monoid._proof_5 0.000140 s: order_dual.ordered_comm_monoid._proof_6 0.000125 s: order_dual.ordered_comm_monoid._proof_7 0.000086 s: order_dual.ordered_comm_monoid._proof_8 0.000174 s: order_dual.ordered_comm_monoid._proof_9 0.000273 s: order_dual.ordered_comm_monoid._proof_10 0.004746 s: ordered_comm_monoid.mul_le_mul_left 0.000441 s: mul_le_mul_left' 0.000978 s: order_dual.ordered_comm_monoid._proof_11 0.005375 s: ordered_comm_monoid.lt_of_mul_lt_mul_left 0.000441 s: lt_of_mul_lt_mul_left' 0.005431 s: order_dual.ordered_comm_monoid._proof_12 0.005760 s: order_dual.ordered_comm_monoid 0.001801 s: ordered_cancel_comm_monoid.mul_assoc 0.001230 s: ordered_cancel_comm_monoid.one 0.001443 s: ordered_cancel_comm_monoid.one_mul 0.001440 s: ordered_cancel_comm_monoid.mul_one 0.001083 s: ordered_cancel_comm_monoid.npow 0.001683 s: ordered_cancel_comm_monoid.npow_zero' 0.001601 s: ordered_cancel_comm_monoid.npow_succ' 0.001320 s: ordered_cancel_comm_monoid.mul_comm 0.001180 s: ordered_cancel_comm_monoid.le 0.000949 s: ordered_cancel_comm_monoid.lt 0.001126 s: ordered_cancel_comm_monoid.le_refl 0.001335 s: ordered_cancel_comm_monoid.le_trans 0.002107 s: ordered_cancel_comm_monoid.lt_iff_le_not_le 0.002710 s: ordered_cancel_comm_monoid.le_antisymm 0.001574 s: ordered_cancel_comm_monoid.mul_left_cancel 0.004800 s: ordered_cancel_comm_monoid.mul_le_mul_left 0.000167 s: ordered_cancel_comm_monoid.to_partial_order 0.000244 s: ordered_cancel_comm_monoid.to_cancel_comm_monoid 0.004791 s: ordered_cancel_comm_monoid.le_of_mul_le_mul_left 0.000533 s: le_of_mul_le_mul_left' 0.006343 s: ordered_cancel_comm_monoid.to_ordered_comm_monoid._proof_1 0.003566 s: ordered_cancel_comm_monoid.to_ordered_comm_monoid 0.000088 s: order_dual.ordered_cancel_comm_monoid._proof_1 0.000071 s: order_dual.ordered_cancel_comm_monoid._proof_2 0.000091 s: order_dual.ordered_cancel_comm_monoid._proof_3 0.000078 s: order_dual.ordered_cancel_comm_monoid._proof_4 0.000214 s: order_dual.ordered_cancel_comm_monoid._proof_5 0.000299 s: order_dual.ordered_cancel_comm_monoid._proof_6 0.000093 s: order_dual.ordered_cancel_comm_monoid._proof_7 0.000072 s: order_dual.ordered_cancel_comm_monoid._proof_8 0.000088 s: order_dual.ordered_cancel_comm_monoid._proof_9 0.000193 s: order_dual.ordered_cancel_comm_monoid._proof_10 0.000222 s: order_dual.ordered_cancel_comm_monoid._proof_11 0.000876 s: order_dual.ordered_cancel_comm_monoid._proof_12 0.000221 s: order_dual.ordered_cancel_comm_monoid._proof_13 0.010863 s: order_dual.ordered_cancel_comm_monoid 0.003321 s: linear_ordered_cancel_comm_monoid.mul 0.003324 s: linear_ordered_cancel_comm_monoid.mul_assoc 0.002498 s: linear_ordered_cancel_comm_monoid.mul_left_cancel 0.001446 s: linear_ordered_cancel_comm_monoid.one 0.001628 s: linear_ordered_cancel_comm_monoid.one_mul 0.001663 s: linear_ordered_cancel_comm_monoid.mul_one 0.001794 s: linear_ordered_cancel_comm_monoid.npow 0.002145 s: linear_ordered_cancel_comm_monoid.npow_zero' 0.002257 s: linear_ordered_cancel_comm_monoid.npow_succ' 0.001753 s: linear_ordered_cancel_comm_monoid.mul_comm 0.001586 s: linear_ordered_cancel_comm_monoid.le 0.001397 s: linear_ordered_cancel_comm_monoid.lt 0.001590 s: linear_ordered_cancel_comm_monoid.le_refl 0.001598 s: linear_ordered_cancel_comm_monoid.le_trans 0.001739 s: linear_ordered_cancel_comm_monoid.lt_iff_le_not_le 0.002332 s: linear_ordered_cancel_comm_monoid.le_antisymm 0.005587 s: linear_ordered_cancel_comm_monoid.mul_le_mul_left 0.005271 s: linear_ordered_cancel_comm_monoid.le_of_mul_le_mul_left 0.000840 s: linear_ordered_cancel_comm_monoid.to_ordered_cancel_comm_monoid 0.000133 s: order_dual.linear_ordered_cancel_comm_monoid._proof_7 0.000166 s: norm_cast.label 0.000014 s: norm_cast.label.move.inj 0.000019 s: norm_cast.label.move.inj_arrow 0.000131 s: filter.prod 0.009635 s: filter.tendsto_inf 0.001215 s: filter.tendsto.prod_mk 0.000024 s: set.set_semiring 0.000205 s: set.image2 0.000066 s: set.has_mul 0.000516 s: set.union_assoc 0.000262 s: set.empty_union 0.000254 s: set.union_empty 0.001033 s: set.set_semiring.add_comm_monoid._proof_1 0.000631 s: set.set_semiring.add_comm_monoid._proof_2 0.000287 s: set.union_comm 0.002475 s: set.set_semiring.add_comm_monoid 0.000293 s: set.mem_image2 0.001102 s: set.image2_empty_left 0.000259 s: set.empty_mul 0.000099 s: set.set_semiring.mul_zero_class._proof_1 0.001263 s: set.image2_empty_right 0.000180 s: set.mul_empty 0.000132 s: set.set_semiring.mul_zero_class._proof_2 0.000462 s: set.set_semiring.mul_zero_class 0.000213 s: set.set_semiring.semiring._proof_12 0.000369 s: pgame 0.000686 s: pgame.short 0.000207 s: pgame.short.rec_on 0.000103 s: tactic.tfae.arrow 0.000027 s: tactic.tfae.arrow.sizeof 0.000025 s: tactic.tfae.arrow.left.sizeof_spec 0.000027 s: superset 0.000247 s: filter.ne_bot 0.000120 s: cluster_pt 0.000102 s: is_compact 0.001791 s: boolean_algebra.to_core 0.000421 s: is_closed 0.000188 s: set.nonempty.mono 0.002131 s: set.subset_Inter 0.000637 s: set.Inter_subset 0.000124 s: set.Inter_subset_of_subset 0.000158 s: set.Inter_subset_Inter 0.000891 s: set.mem_compl_eq 0.000045 s: nhds_within 0.003151 s: is_compl 0.000141 s: sup_of_le_right 0.001357 s: bot_sup_eq 0.000222 s: inf_le_inf 0.000181 s: inf_le_inf_left 0.019095 s: inf_eq_bot_iff_le_compl 0.000320 s: is_compl.top_le_sup 0.002841 s: is_compl.sup_eq_top 0.000176 s: disjoint.eq_bot 0.000265 s: is_compl.inf_le_bot 0.001840 s: is_compl.disjoint 0.002723 s: is_compl.inf_eq_bot 0.000361 s: is_compl.inf_left_eq_bot_iff 0.003204 s: is_compl.disjoint_left_iff 0.000559 s: is_compl.symm 0.000120 s: is_compl.disjoint_right_iff 0.000146 s: is_compl.le_left_iff 0.000095 s: order_dual.bounded_distrib_lattice._proof_1 0.000165 s: order_dual.bounded_distrib_lattice._proof_2 0.000152 s: order_dual.bounded_distrib_lattice._proof_3 0.000247 s: order_dual.bounded_distrib_lattice._proof_4 0.000301 s: order_dual.bounded_distrib_lattice._proof_5 0.000458 s: order_dual.bounded_distrib_lattice._proof_6 0.000432 s: order_dual.bounded_distrib_lattice._proof_7 0.000250 s: order_dual.bounded_distrib_lattice._proof_8 0.000345 s: order_dual.bounded_distrib_lattice._proof_9 0.000354 s: order_dual.bounded_distrib_lattice._proof_10 0.000110 s: order_dual.distrib_lattice._proof_1 0.000102 s: order_dual.distrib_lattice._proof_2 0.000237 s: order_dual.distrib_lattice._proof_3 0.000367 s: order_dual.distrib_lattice._proof_4 0.000263 s: order_dual.distrib_lattice._proof_5 0.000311 s: order_dual.distrib_lattice._proof_6 0.000360 s: order_dual.distrib_lattice._proof_7 0.000246 s: order_dual.distrib_lattice._proof_8 0.000216 s: order_dual.distrib_lattice._proof_9 0.000322 s: order_dual.distrib_lattice._proof_10 0.009749 s: order_dual.distrib_lattice._proof_11 0.013100 s: order_dual.distrib_lattice 0.001516 s: order_dual.bounded_distrib_lattice._proof_11 0.000340 s: order_dual.bounded_distrib_lattice._proof_12 0.000331 s: order_dual.bounded_distrib_lattice._proof_13 0.049958 s: order_dual.bounded_distrib_lattice 0.007626 s: is_compl.to_order_dual 0.020661 s: is_compl.left_le_iff 0.000217 s: is_compl.right_le_iff 0.003828 s: is_compl.antimono 0.000174 s: is_compl.right_unique 0.000386 s: is_compl.of_eq 0.000184 s: is_compl_compl 0.000104 s: is_compl.compl_eq 0.000734 s: semilattice_sup_top.to_semilattice_sup 0.001055 s: semilattice_sup_top.top 0.001848 s: semilattice_sup_top.le_top 0.000299 s: semilattice_sup_top.to_order_top 0.000245 s: sup_of_le_left 0.001210 s: top_sup_eq 0.000100 s: semilattice_sup_top_of_bounded_lattice._proof_1 0.001734 s: semilattice_sup_top_of_bounded_lattice 0.004958 s: is_compl_top_bot 0.000214 s: compl_top 0.002984 s: set.compl_univ 0.000101 s: compl_compl 0.000163 s: compl_le_compl 0.001606 s: compl_le_compl_iff_le 0.003270 s: set.compl_subset_compl 0.000878 s: inf_sup_right 0.000411 s: sup_left_comm 0.001300 s: inf_left_comm 0.000941 s: sup_top_eq 0.000821 s: top_inf_eq 0.020921 s: is_compl.sup_inf 0.000290 s: is_compl.inf_sup 0.000300 s: compl_inf 0.004004 s: set.compl_inter 0.000102 s: push_neg.not_forall_eq 0.000030 s: not_not_of_not_imp 0.000031 s: decidable.of_not_imp 0.000027 s: not_of_not_imp 0.000063 s: not_imp_of_and_not 0.000056 s: decidable.not_imp 0.000029 s: not_imp 0.000032 s: push_neg.not_implies_eq 0.002924 s: set.nonempty.ne_empty 0.000081 s: set.empty_not_nonempty 0.003267 s: filter.mem_bot_sets 0.002060 s: filter.empty_in_sets_eq_bot 0.000148 s: filter.ne_bot.ne' 0.000435 s: filter.nonempty_of_mem_sets 0.000340 s: filter.forall_sets_nonempty_iff_ne_bot 0.000803 s: filter.has_basis.forall_iff 0.000317 s: filter.has_basis.ne_bot_iff 0.000086 s: filter.bounded_distrib_lattice._proof_1 0.000135 s: filter.bounded_distrib_lattice._proof_2 0.000308 s: filter.bounded_distrib_lattice._proof_3 0.000313 s: filter.bounded_distrib_lattice._proof_4 0.000333 s: filter.bounded_distrib_lattice._proof_5 0.000368 s: filter.bounded_distrib_lattice._proof_6 0.000566 s: filter.bounded_distrib_lattice._proof_7 0.000305 s: filter.bounded_distrib_lattice._proof_8 0.000412 s: filter.bounded_distrib_lattice._proof_9 0.000448 s: filter.bounded_distrib_lattice._proof_10 0.005291 s: filter.mem_sup_sets 0.000373 s: filter.mem_inf_sets 0.000211 s: set.subset_union_left 0.000114 s: set.subset_union_right 0.022725 s: generalized_boolean_algebra.le_sup_inf 0.001552 s: generalized_boolean_algebra.to_distrib_lattice 0.001888 s: boolean_algebra.to_generalized_boolean_algebra 0.000362 s: set.union_subset 0.170175 s: filter.bounded_distrib_lattice._proof_11 0.000340 s: filter.bounded_distrib_lattice._proof_12 0.000360 s: filter.bounded_distrib_lattice._proof_13 0.006336 s: filter.bounded_distrib_lattice 0.000121 s: imp_and_distrib 0.000664 s: set.subset_inter_iff 0.007236 s: filter.inf_principal 0.002384 s: set.inter_compl_self 0.001214 s: filter.principal_empty 0.000398 s: set.union_subset_iff 0.001558 s: filter.sup_principal 0.000032 s: em 0.000830 s: set.union_compl_self 0.005889 s: filter.principal_univ 0.007427 s: filter.is_compl_principal 0.000050 s: decidable.not_or_of_imp 0.000039 s: or.neg_resolve_left 0.000058 s: decidable.imp_iff_not_or 0.000024 s: imp_iff_not_or 0.000208 s: is_compl.le_right_iff 0.028989 s: filter.mem_inf_principal 0.000193 s: set.mem_inter_iff 0.005617 s: filter.has_basis.inf_principal 0.000291 s: filter.has_basis.inf_principal_ne_bot_iff 0.000218 s: filter.inf_principal_ne_bot_iff 0.000691 s: set.not_subset 0.000764 s: set.inter_compl_nonempty_iff 0.000159 s: filter.ne_bot_iff 0.000788 s: filter.mem_iff_inf_principal_compl 0.000190 s: filter.not_mem_iff_inf_principal_compl 0.007536 s: is_compact.compl_mem_sets 0.003464 s: is_compact.compl_mem_sets_of_nhds_within 0.002126 s: is_compact.induction_on 0.000219 s: mem_nhds_within_of_mem_nhds 0.000258 s: mem_nhds_sets 0.001772 s: is_compact.elim_directed_cover 0.000039 s: finset.inhabited_finset 0.000353 s: is_open_bUnion 0.001029 s: supr_eq_supr_finset 0.000310 s: set.Union_eq_Union_finset 0.000265 s: directed_of_sup 0.000121 s: finset.semilattice_sup_bot._proof_1 0.000241 s: finset.semilattice_sup_bot._proof_2 0.000224 s: finset.semilattice_sup_bot._proof_3 0.000371 s: finset.semilattice_sup_bot._proof_4 0.000315 s: finset.semilattice_sup_bot._proof_5 0.000416 s: finset.semilattice_sup_bot._proof_6 0.000343 s: finset.semilattice_sup_bot._proof_7 0.000470 s: finset.semilattice_sup_bot._proof_8 0.003953 s: finset.semilattice_sup_bot 0.002458 s: set.bUnion_subset 0.001136 s: set.subset_bUnion_of_mem 0.000387 s: set.bUnion_subset_bUnion_left 0.002418 s: is_compact.elim_finite_subcover 0.000137 s: is_closed.is_open_compl 0.003144 s: is_compact.elim_finite_subfamily_closed 0.000171 s: is_open_compl_iff 0.000101 s: cond._main 0.000025 s: cond 0.000212 s: set.mem_union_eq 0.000274 s: bool.exists_bool 0.000141 s: bool.cond_ff 0.000048 s: bool.cond_tt 0.001761 s: set.union_eq_Union 0.000401 s: bool.forall_bool 0.000521 s: is_open_union 0.000511 s: is_closed_inter 0.000424 s: set.inter_empty 0.000235 s: is_trans 0.000090 s: is_trans.trans 0.000058 s: trans 0.001798 s: directed.finset_le 0.000066 s: trans_of 0.000175 s: is_trans.swap 0.000109 s: has_le.le.is_trans 0.000409 s: ge.is_trans 0.000395 s: set.subset_bInter 0.003697 s: is_compact.nonempty_Inter_of_directed_nonempty_compact_closed 0.006773 s: euclidean_domain.cases_on 0.003901 s: euclidean_domain.no_confusion_type 0.003013 s: euclidean_domain.no_confusion 0.011080 s: euclidean_domain.mk.inj 0.018535 s: euclidean_domain.mk.inj_arrow 0.000131 s: has_norm 0.000151 s: metric_space.to_pseudo_metric_space 0.000036 s: has_norm.norm 0.000652 s: normed_group 0.000115 s: asymptotics.is_O_with 0.000067 s: asymptotics.is_O 0.002765 s: normed_field 0.000214 s: normed_field.to_has_norm 0.000175 s: normed_group.to_has_norm 0.000051 s: real.linear_ordered_add_comm_group 0.050474 s: real.pseudo_metric_space._proof_1 0.005570 s: abs_sub 0.000158 s: real.pseudo_metric_space._proof_2 0.001612 s: abs_sub_le 0.000282 s: real.pseudo_metric_space._proof_3 0.000040 s: real.pseudo_metric_space._proof_4 0.049220 s: real.pseudo_metric_space._proof_5 0.000130 s: real.pseudo_metric_space._proof_6 0.000170 s: real.pseudo_metric_space._proof_7 0.057934 s: real.pseudo_metric_space._proof_8 0.068830 s: real.pseudo_metric_space 0.055190 s: real.metric_space._proof_1 0.000349 s: real.metric_space 0.000080 s: real.normed_group._proof_1 0.000318 s: real.normed_group 0.000227 s: normed_group.to_metric_space 0.000191 s: normed_group.to_add_comm_group 0.000659 s: normed_group.dist_eq 0.123106 s: real.normed_field 0.000254 s: asymptotics.is_O.equations._eqn_1 0.000189 s: asymptotics.is_O_with.equations._eqn_1 0.000669 s: semi_normed_group 0.000164 s: semi_normed_group.to_has_norm 0.004040 s: real.norm_of_nonneg 0.000154 s: semi_normed_group.to_pseudo_metric_space 0.000077 s: semi_normed_group.to_add_comm_group 0.000604 s: semi_normed_group.dist_eq 0.000128 s: dist_eq_norm 0.012152 s: dist_zero_right 0.000217 s: norm_nonneg 0.000074 s: norm_norm 0.000149 s: normed_group.to_semi_normed_group 0.003296 s: asymptotics.is_O_with_norm_left 0.000766 s: asymptotics.is_O_norm_left 0.001469 s: asymptotics.is_O_with_norm_right 0.000806 s: asymptotics.is_O_norm_right 0.000666 s: asymptotics.is_O_norm_norm 0.001360 s: normalization_monoid.norm_unit_zero 0.001577 s: units.coe_one 0.001344 s: normalize._proof_1 0.000623 s: normalization_monoid.norm_unit_coe_units 0.002048 s: norm_unit_one 0.001856 s: normalize._proof_2 0.000989 s: normalization_monoid.norm_unit_mul 0.003219 s: normalize._proof_3 0.000450 s: normalize 0.004800 s: gcd_monoid 0.001285 s: gcd_monoid.lcm 0.000143 s: associated 0.000736 s: associated.refl 0.002917 s: associated_of_dvd_dvd 0.000755 s: normalize_apply 0.008453 s: normalize_eq_normalize 0.000861 s: dvd_antisymm_of_normalize_eq 0.001376 s: gcd_monoid.norm_unit 0.001298 s: gcd_monoid.norm_unit_zero 0.001367 s: gcd_monoid.norm_unit_mul 0.001207 s: gcd_monoid.norm_unit_coe_units 0.000277 s: gcd_monoid.to_normalization_monoid 0.000220 s: normalize_zero 0.000820 s: gcd_monoid.gcd 0.002293 s: gcd_monoid.normalize_gcd 0.000394 s: normalize_gcd 0.003008 s: gcd_monoid.gcd_mul_lcm 0.000491 s: gcd_mul_lcm 0.000587 s: left_inv_eq_right_inv 0.004103 s: group.mul_left_inv 0.000212 s: mul_left_inv 0.000144 s: inv_mul_self 0.000219 s: inv_eq_of_mul_eq_one 0.000075 s: inv_inv 0.000587 s: eq_inv_of_mul_eq_one 0.000793 s: mul_eq_one_iff_eq_inv 0.000380 s: mul_inv_eq_one 0.001504 s: norm_unit_mul_norm_unit 0.004528 s: normalize_idem 0.001489 s: gcd_monoid.gcd_dvd_right 0.001075 s: gcd_monoid.gcd_dvd_left 0.000605 s: gcd_eq_normalize 0.001281 s: gcd_monoid.dvd_gcd 0.000551 s: gcd_zero_left 0.001712 s: gcd_eq_zero_iff 0.001836 s: associated.symm 0.001366 s: associated_zero_iff_eq_zero 0.001471 s: associated_normalize 0.000830 s: normalize_eq_zero 0.001185 s: cancel_monoid_with_zero.to_no_zero_divisors 0.001990 s: gcd_monoid.lcm_zero_left 0.001656 s: gcd_monoid.lcm_zero_right 0.003782 s: lcm_eq_zero_iff 0.004098 s: normalize_lcm 0.000447 s: eq_zero_of_zero_dvd 0.000230 s: zero_dvd_iff 0.001106 s: mul_dvd_mul_iff_left 0.001320 s: dvd_trans 0.001043 s: units.mul_right_dvd 0.000929 s: normalize_dvd_iff 0.000914 s: units.dvd_mul_right 0.000821 s: dvd_normalize_iff 0.002447 s: mul_dvd_mul 0.000133 s: mul_dvd_mul_left 0.006120 s: gcd_mul_left 0.002059 s: gcd_mul_right 0.000499 s: dvd_gcd_iff 0.000248 s: mul_left_inj' 0.003860 s: mul_dvd_mul_iff_right 0.007128 s: lcm_dvd_iff 0.000289 s: lcm_dvd 0.000213 s: dvd_lcm_right 0.000131 s: dvd_lcm_left 0.000470 s: lcm_comm 0.000097 s: gcd_monoid.lcm.is_commutative 0.000036 s: dvd.trans 0.000835 s: lcm_assoc 0.000100 s: gcd_monoid.lcm.is_associative 0.000154 s: finset.lcm 0.000139 s: multiset.lcm 0.000177 s: multiset.lcm_zero 0.000087 s: is_unit 0.000962 s: units.mul_inv_cancel_left 0.000618 s: units.coe_dvd 0.000246 s: is_unit.dvd 0.000766 s: is_unit_one 0.000208 s: multiset.lcm_cons 0.002996 s: multiset.lcm_dvd 0.001454 s: finset.lcm_dvd_iff 0.000280 s: finset.lcm_dvd 0.000249 s: finset.dvd_lcm 0.000466 s: finset.lcm_mono_fun 0.000793 s: dfinsupp.pre 0.000191 s: dfinsupp.pre.to_fun 0.000452 s: dfinsupp.pre.setoid._proof_1 0.000199 s: dfinsupp.pre.setoid 0.000088 s: dfinsupp 0.000054 s: pi.has_zero 0.000034 s: multiset.has_emptyc 0.000400 s: dfinsupp.has_zero._proof_1 0.000445 s: dfinsupp.has_zero 0.000178 s: dfinsupp.pre.pre_support 0.000337 s: dfinsupp.pre.zero 0.002588 s: dfinsupp.zip_with._proof_1 0.006015 s: dfinsupp.zip_with._proof_2 0.002606 s: dfinsupp.zip_with 0.000105 s: dfinsupp.has_add._proof_1 0.000423 s: dfinsupp.has_add 0.000340 s: dfinsupp.has_coe_to_fun._proof_1 0.001038 s: dfinsupp.has_coe_to_fun 0.001693 s: dfinsupp.coe_fn_injective 0.001093 s: dfinsupp.ext 0.002538 s: dfinsupp.zip_with_apply 0.007642 s: dfinsupp.add_apply 0.001019 s: dfinsupp.zero_apply 0.006313 s: dfinsupp.add_zero_class._proof_1 0.006219 s: dfinsupp.add_zero_class._proof_2 0.000438 s: dfinsupp.add_zero_class 0.001109 s: dfinsupp.map_range._proof_1 0.003509 s: dfinsupp.map_range._proof_2 0.001502 s: dfinsupp.map_range 0.000354 s: dfinsupp.map_range.add_monoid_hom._proof_1 0.001428 s: dfinsupp.map_range_apply 0.000683 s: dfinsupp.coe_zero 0.000202 s: pi.zero_apply 0.002600 s: dfinsupp.map_range_zero 0.001103 s: dfinsupp.map_range.add_monoid_hom._proof_2 0.000069 s: pi.has_add 0.001665 s: dfinsupp.coe_add 0.000230 s: pi.add_apply 0.006132 s: dfinsupp.map_range_add 0.001595 s: dfinsupp.map_range.add_monoid_hom._proof_3 0.002362 s: dfinsupp.map_range.add_monoid_hom 0.000066 s: add_monoid_hom.id._proof_1 0.000042 s: add_monoid_hom.id._proof_2 0.000106 s: add_monoid_hom.id 0.000010 s: opt_param 0.000035 s: id.def 0.001908 s: dfinsupp.map_range_id 0.003636 s: dfinsupp.map_range.add_monoid_hom_id 0.000689 s: finsupp 0.000131 s: set.inj_on 0.000277 s: finsupp.support 0.000218 s: set.finite 0.003079 s: list.pairwise_map 0.000234 s: list.pairwise_map_of_pairwise 0.000326 s: list.pairwise.iff_of_mem 0.001011 s: list.pairwise.and_mem 0.000579 s: list.nodup_map_on 0.001068 s: multiset.nodup_map_on 0.000165 s: multiset.nodup_map 0.000542 s: set.to_finset._proof_1 0.000156 s: set.to_finset 0.000130 s: set.finite.fintype 0.000046 s: set.finite.to_finset 0.000885 s: set.finite_of_finite_image 0.000047 s: and_iff_right_of_imp 0.000043 s: and_iff_right_iff_imp 0.000373 s: set.inter_eq_right_iff_subset 0.000103 s: set.inter_eq_self_of_subset_right 0.000194 s: set.fintype_subset._proof_1 0.000279 s: quot.rec_on 0.000613 s: list.pmap._main 0.000073 s: list.pmap 0.000663 s: list.pmap._main.equations._eqn_1 0.000186 s: list.pmap.equations._eqn_1 0.000112 s: list.pmap._main._proof_1 0.000141 s: list.pmap._main._proof_2 0.000663 s: list.pmap._main.equations._eqn_2 0.000391 s: list.pmap.equations._eqn_2 0.002157 s: list.perm.pmap 0.003154 s: multiset.pmap._proof_1 0.000782 s: multiset.pmap 0.000117 s: fintype.subtype._proof_1 0.000079 s: list.attach._proof_1 0.000119 s: list.attach 0.000136 s: list.attach.equations._eqn_1 0.001968 s: list.map_pmap 0.001267 s: list.pmap_congr 0.001030 s: list.pmap_eq_map_attach 0.000128 s: list.nodup_map 0.001573 s: list.pmap_eq_map 0.001265 s: list.map_id 0.000891 s: list.attach_map_val 0.000261 s: list.pairwise_of_pairwise_map 0.000302 s: list.nodup_of_nodup_map 0.000627 s: list.nodup_attach 0.001856 s: list.nodup_pmap 0.001943 s: multiset.nodup_pmap 0.000670 s: fintype.subtype._proof_2 0.001130 s: list.mem_attach 0.001940 s: list.mem_pmap 0.003129 s: multiset.mem_pmap 0.002428 s: fintype.subtype._match_1 0.000484 s: fintype.subtype._proof_3 0.000488 s: fintype.subtype 0.000277 s: fintype.of_finset 0.000115 s: finset.filter._proof_1 0.000082 s: finset.filter 0.000594 s: finset.mem_filter 0.001452 s: list.map_congr 0.000771 s: multiset.map_congr 0.000278 s: subtype.val_eq_coe 0.000320 s: set.to_finset.equations._eqn_1 0.000169 s: finset.mem_mk 0.000171 s: finset.mem_univ_val 0.002385 s: set.mem_to_finset 0.000222 s: set.mem_sep_eq 0.000884 s: set.fintype_sep._proof_1 0.000214 s: set.fintype_sep 0.000346 s: set.fintype_inter 0.000202 s: set.fintype_subset 0.000032 s: classical.dec_pred 0.000153 s: set.finite.subset 0.000367 s: set.image_subset_iff 0.000113 s: set.image_preimage_subset 0.000129 s: set.finite.preimage 0.000257 s: set.finite_mem_finset 0.000190 s: finset.finite_to_set 0.000239 s: finset.preimage._proof_1 0.000144 s: finset.preimage 0.000145 s: finsupp.to_fun 0.000060 s: finsupp.has_coe_to_fun 0.000326 s: set.finite.mem_to_finset 0.000610 s: finset.mem_preimage 0.000276 s: finsupp.mem_support_to_fun 0.000712 s: finsupp.comap_domain._proof_1 0.000284 s: finsupp.comap_domain 0.000417 s: finsupp.comap_domain.equations._eqn_1 0.000160 s: int.add_neg_cancel_right 0.000151 s: int.add_lt_add_left 0.000103 s: int.add_lt_add_right 0.000228 s: int.sub_left_lt_of_lt_add 0.000135 s: is_refl 0.000148 s: is_preorder 0.000046 s: is_preorder.to_is_trans 0.000148 s: is_symm 0.000178 s: is_equiv 0.000050 s: is_equiv.to_is_preorder 0.000102 s: eq_is_equiv 0.000050 s: multiset.attach._proof_1 0.000089 s: multiset.attach 0.001753 s: multiset.nodup_attach 0.000114 s: finset.attach._proof_1 0.000208 s: finset.attach 0.000038 s: classical.dec_eq 0.001954 s: finset.filter_not 0.000286 s: multiset.filter_subset 0.000882 s: finset.filter_subset 0.000860 s: finset.filter_union_filter_neg_eq 0.000623 s: disjoint.comm 0.000594 s: finset.disjoint_right 0.000193 s: congr_arg2 0.001350 s: list.pw_filter_eq_self 0.000280 s: list.erase_dup_eq_self 0.000722 s: multiset.erase_dup_eq_self 0.001494 s: finset.image_val_of_inj_on 0.001619 s: list.map_map 0.001063 s: multiset.map_map 0.002022 s: finset.fold_image 0.001520 s: finset.sum_image 0.000505 s: finset.attach_val 0.002799 s: multiset.attach_map_val 0.000245 s: finset.erase_dup_eq_self 0.001314 s: finset.attach_image_val 0.001595 s: finset.sum_attach 0.000734 s: finset.fold_congr 0.001000 s: finset.sum_congr 0.003857 s: finset.sum_apply_dite 0.001530 s: finset.sum_apply_ite 0.000782 s: finset.sum_ite 0.000458 s: finset.filter_false_of_mem 0.001597 s: finset.sum_empty 0.000310 s: finset.filter_true_of_mem 0.001368 s: finset.sum_ite_of_false 0.000021 s: equiv.perm 0.000032 s: equiv.refl._proof_1 0.000034 s: equiv.refl._proof_2 0.000141 s: equiv.refl 0.000436 s: function.left_inverse.comp 0.000716 s: equiv.trans._proof_1 0.000310 s: function.right_inverse.comp 0.000594 s: equiv.trans._proof_2 0.000660 s: equiv.trans 0.001277 s: equiv_functor 0.000333 s: equiv_functor.map 0.000159 s: equiv.cases_on 0.000111 s: equiv.no_confusion_type 0.000388 s: equiv.no_confusion 0.000359 s: equiv.mk.inj 0.001122 s: equiv.mk.inj_eq 0.000145 s: function.right_inverse.comp_eq_id 0.000070 s: function.comp.right_id 0.000162 s: function.comp.assoc 0.000122 s: function.left_inverse.comp_eq_id 0.000115 s: function.comp.left_id 0.000490 s: function.left_inverse.eq_right_inverse 0.001591 s: equiv.coe_fn_injective 0.000182 s: equiv.ext 0.000362 s: equiv.coe_trans 0.000336 s: equiv.symm_apply_apply 0.000403 s: equiv.symm_comp_self 0.000165 s: equiv.coe_refl 0.000785 s: equiv.trans_symm 0.000385 s: equiv_functor.map_refl 0.000775 s: equiv_functor.map_trans 0.001076 s: equiv_functor.map_equiv._proof_1 0.000438 s: equiv.apply_symm_apply 0.000462 s: equiv.self_comp_symm 0.000821 s: equiv.symm_trans 0.000800 s: equiv_functor.map_equiv._proof_2 0.000169 s: equiv_functor.map_equiv 0.000243 s: functor 0.000072 s: functor.map_const 0.000060 s: functor.map 0.001213 s: is_lawful_functor 0.000269 s: is_lawful_functor.id_map 0.000298 s: equiv_functor.of_is_lawful_functor._proof_1 0.000360 s: is_lawful_functor.comp_map 0.000562 s: equiv_functor.of_is_lawful_functor._proof_2 0.000282 s: equiv_functor.of_is_lawful_functor 0.000133 s: has_pure 0.000154 s: has_seq 0.000148 s: has_seq_left 0.000160 s: has_seq_right 0.000243 s: applicative 0.000220 s: traversable 0.000056 s: traversable.to_functor 0.000066 s: applicative.to_functor 0.000188 s: has_bind 0.000153 s: monad 0.000045 s: monad.to_applicative 0.000208 s: option.monad 0.000048 s: has_pure.pure 0.000059 s: applicative.to_has_pure 0.000151 s: option.traverse._main 0.000047 s: option.traverse 0.000063 s: option.traversable 0.000073 s: traversable.traverse 0.000021 s: id_bind 0.000335 s: id.monad 0.000021 s: id.mk 0.000067 s: has_seq_left.seq_left 0.000078 s: applicative.to_has_seq_left 0.000080 s: has_seq.seq 0.000056 s: applicative.to_has_seq 0.000148 s: has_seq_right.seq_right 0.000054 s: applicative.to_has_seq_right 0.003564 s: is_lawful_applicative 0.000022 s: functor.comp 0.000141 s: functor.comp.mk 0.000105 s: functor.comp.map._main 0.000061 s: functor.comp.map 0.000099 s: functor.comp.has_pure 0.000137 s: functor.comp.seq._main 0.000062 s: functor.comp.seq 0.000434 s: functor.comp.applicative 0.001570 s: applicative_transformation 0.000473 s: applicative_transformation.app 0.000146 s: applicative_transformation.has_coe_to_fun 0.003350 s: is_lawful_traversable 0.000882 s: is_lawful_traversable.to_is_lawful_functor 0.000736 s: is_lawful_applicative.to_is_lawful_functor 0.000084 s: has_bind.bind 0.000094 s: monad.to_has_bind 0.002077 s: is_lawful_monad 0.000517 s: is_lawful_monad.to_is_lawful_applicative 0.027556 s: option.is_lawful_monad 0.000090 s: option.is_lawful_traversable._proof_1 0.000558 s: option.id_traverse 0.003609 s: is_lawful_applicative.map_pure 0.000124 s: functor.comp.functor 0.001086 s: functor.comp.map_mk 0.000676 s: functor.map_map 0.004147 s: option.comp_traverse 0.000944 s: option.traverse_eq_map_id 0.000642 s: applicative_transformation.preserves_pure' 0.000455 s: applicative_transformation.preserves_pure 0.000777 s: is_lawful_applicative.pure_seq_eq_map 0.000812 s: applicative_transformation.preserves_seq' 0.000485 s: applicative_transformation.preserves_seq 0.001417 s: applicative_transformation.preserves_map 0.002779 s: option.naturality 0.001149 s: option.is_lawful_traversable 0.000285 s: equiv.injective 0.000925 s: option.not_is_some_iff_eq_none 0.000688 s: _private.4217087231.remove_none_aux._proof_1 0.000366 s: _private.4217087231.remove_none_aux 0.000087 s: option.some_injective 0.000240 s: _private.4217087231.remove_none_aux.equations._eqn_1 0.000199 s: equiv.apply_eq_iff_eq 0.001164 s: _private.874882877.remove_none_aux_none 0.001120 s: equiv.symm_apply_eq 0.000282 s: equiv.eq_symm_apply 0.000077 s: option.is_some._main.equations._eqn_1 0.000037 s: option.is_some.equations._eqn_1 0.000056 s: option.is_some._main.equations._eqn_2 0.000036 s: option.is_some.equations._eqn_2 0.000791 s: option.is_some_iff_exists 0.000949 s: _private.3605755605.remove_none_aux_some 0.001454 s: _private.4077018507.remove_none_aux_inv 0.000104 s: equiv.remove_none._proof_1 0.001025 s: equiv.remove_none 0.003493 s: equiv.trans_assoc 0.000189 s: equiv.perm.perm_group._proof_1 0.001146 s: equiv.trans_refl 0.001415 s: equiv.refl_trans 0.001484 s: equiv.perm.perm_group._proof_2 0.000950 s: equiv.perm.perm_group._proof_3 0.000170 s: equiv.perm.perm_group._proof_4 0.001083 s: equiv.perm.perm_group._proof_5 0.000913 s: equiv.perm.perm_group._proof_6 0.006080 s: equiv.perm.perm_group._proof_7 0.006485 s: equiv.perm.perm_group 0.000056 s: equiv.swap_core 0.000122 s: equiv.swap_core.equations._eqn_1 0.002015 s: equiv.swap_core_swap_core 0.000090 s: equiv.swap._proof_1 0.000074 s: equiv.swap._proof_2 0.000232 s: equiv.swap 0.000431 s: equiv_functor.map_equiv_apply 0.000766 s: equiv.perm.coe_mul 0.000838 s: equiv.swap_core_self 0.000525 s: equiv.swap_self 0.000726 s: equiv.swap_apply_def 0.001406 s: equiv.swap_apply_right 0.000597 s: equiv.remove_none_none 0.000348 s: equiv.swap_apply_left 0.000538 s: equiv.remove_none_some 0.000805 s: equiv.swap_apply_of_ne_of_ne 0.003070 s: map_equiv_remove_none 0.000189 s: quaternion_algebra 0.000062 s: quaternion 0.000137 s: complex 0.000024 s: complex.re 0.000016 s: complex.im 0.000119 s: quaternion.has_coe 0.000019 s: complex.has_coe 0.000044 s: complex.has_one 0.000060 s: quaternion_algebra.re 0.000071 s: quaternion_algebra.im_i 0.000065 s: quaternion_algebra.im_j 0.000068 s: quaternion_algebra.im_k 0.000135 s: quaternion_algebra.has_add 0.000091 s: quaternion_algebra.cases_on 0.001641 s: quaternion_algebra.ext 0.001099 s: quaternion_algebra.has_add_add_re 0.002404 s: tactic.ring_exp.add_pf_sum_lt 0.000239 s: pow_one 0.002527 s: tactic.ring_exp.atom_to_sum_pf 0.001222 s: tactic.ring_exp.add_pf_z_sum 0.000659 s: quaternion_algebra.has_add_add_im_i 0.000462 s: quaternion_algebra.has_add_add_im_j 0.000457 s: quaternion_algebra.has_add_add_im_k 0.016308 s: quaternion_algebra.ring._proof_1 0.000104 s: quaternion_algebra.has_zero 0.000999 s: quaternion_algebra.has_zero_zero_re 0.000724 s: quaternion_algebra.has_zero_zero_im_i 0.000583 s: quaternion_algebra.has_zero_zero_im_j 0.000558 s: quaternion_algebra.has_zero_zero_im_k 0.004894 s: quaternion_algebra.ring._proof_2 0.002675 s: quaternion_algebra.ring._proof_3 0.006494 s: quaternion_algebra.ring._proof_4 0.008793 s: quaternion_algebra.ring._proof_5 0.000130 s: quaternion_algebra.has_neg 0.000153 s: quaternion_algebra.has_sub 0.001266 s: quaternion_algebra.has_sub_sub_re 0.001216 s: quaternion_algebra.has_neg_neg_re 0.001494 s: tactic.ring_exp.sub_pf 0.001296 s: tactic.ring_exp.negate_pf 0.000336 s: tactic.ring_exp.mul_pf_sum 0.002088 s: tactic.ring_exp.add_pf_sum_z 0.000513 s: tactic.ring_exp.mul_p_pf_sum 0.001291 s: tactic.ring_exp.prod_to_sum_pf 0.002138 s: tactic.ring_exp.mul_pf_c_prod 0.000725 s: tactic.ring_exp.mul_pf_c_c 0.000551 s: tactic.ring_exp.mul_coeff_pf_mul_one 0.000616 s: tactic.ring_exp.mul_p_pf_zero 0.000557 s: tactic.ring_exp.mul_pf_zero 0.000838 s: quaternion_algebra.has_sub_sub_im_i 0.000639 s: quaternion_algebra.has_neg_neg_im_i 0.000647 s: quaternion_algebra.has_sub_sub_im_j 0.000543 s: quaternion_algebra.has_neg_neg_im_j 0.000622 s: quaternion_algebra.has_sub_sub_im_k 0.000566 s: quaternion_algebra.has_neg_neg_im_k 0.041402 s: quaternion_algebra.ring._proof_6 0.067269 s: quaternion_algebra.ring._proof_7 0.008428 s: tactic.ring_exp.add_pf_sum_gt 0.037197 s: quaternion_algebra.ring._proof_8 0.004350 s: quaternion_algebra.has_mul 0.003244 s: quaternion_algebra.has_mul_mul_re 0.001721 s: quaternion_algebra.has_mul_mul_im_i 0.001070 s: quaternion_algebra.has_mul_mul_im_j 0.000780 s: quaternion_algebra.has_mul_mul_im_k 0.002783 s: tactic.ring_exp.mul_pp_pf_prod_lt 0.000819 s: tactic.ring_exp.mul_coeff_pf_one_mul 0.002524 s: tactic.ring_exp.mul_pp_pf_prod_gt 0.002038 s: tactic.ring_exp.mul_pf_prod_c 0.000648 s: norm_num.mul_neg_neg 0.135743 s: quaternion_algebra.ring._proof_9 0.000146 s: quaternion_algebra.has_one 0.000889 s: quaternion_algebra.has_one_one_re 0.000739 s: quaternion_algebra.has_one_one_im_i 0.000681 s: quaternion_algebra.has_one_one_im_j 0.000770 s: quaternion_algebra.has_one_one_im_k 0.006520 s: quaternion_algebra.ring._proof_10 0.005010 s: quaternion_algebra.ring._proof_11 0.018588 s: quaternion_algebra.ring._proof_12 0.020329 s: quaternion_algebra.ring._proof_13 0.048197 s: quaternion_algebra.ring._proof_14 0.061956 s: quaternion_algebra.ring._proof_15 0.027735 s: quaternion_algebra.ring 0.000298 s: quaternion.ring 0.007115 s: quaternion.coe_complex_one 0.001199 s: monoid_hom 0.000082 s: pi.has_one 0.000764 s: pi.has_mul 0.002060 s: pi.mul_one_class._proof_1 0.001514 s: pi.mul_one_class._proof_2 0.000430 s: pi.mul_one_class 0.000178 s: monoid_hom.apply._proof_1 0.000138 s: monoid_hom.apply._proof_2 0.001043 s: monoid_hom.apply 0.000161 s: nat.mul_le_mul_right 0.008496 s: fin_prod_fin_equiv._proof_1 0.000242 s: fin_prod_fin_equiv._proof_2 0.000100 s: fin_prod_fin_equiv._proof_3 0.000515 s: fin_prod_fin_equiv._proof_4 0.000606 s: prod.mk.eta 0.000227 s: prod.no_confusion_type 0.000827 s: prod.no_confusion 0.000252 s: prod.mk.inj 0.000050 s: eq_true_of_and_eq_true_right 0.000076 s: and_eq_of_eq_true_right 0.001072 s: prod.mk.inj_iff 0.000922 s: prod.ext_iff 0.000203 s: prod.ext 0.001023 s: fin.eq_of_veq 0.020594 s: fin_prod_fin_equiv._match_1 0.012594 s: fin_prod_fin_equiv._proof_5 0.015220 s: fin_prod_fin_equiv._proof_6 0.003242 s: fin_prod_fin_equiv 0.002100 s: fin_prod_fin_equiv.equations._eqn_1 0.000413 s: list.sublists_aux._main 0.000035 s: list.sublists_aux 0.000103 s: multiset.powerset_aux 0.000335 s: list.sublists'_aux._main 0.000065 s: list.sublists'_aux 0.000047 s: list.sublists' 0.000083 s: multiset.powerset_aux' 0.000030 s: list.sublists 0.000213 s: multiset.powerset_aux.equations._eqn_1 0.000279 s: list.sublists.equations._eqn_1 0.000588 s: multiset.coe_nil_eq_zero 0.000368 s: list.sublists_aux₁._main 0.000046 s: list.sublists_aux₁ 0.001111 s: list.sublists_aux₁._main.equations._eqn_2 0.000192 s: list.sublists_aux₁.equations._eqn_2 0.000686 s: list.sublists_aux._main.equations._eqn_2 0.000266 s: list.sublists_aux.equations._eqn_2 0.002432 s: list.sublists_aux₁_eq_sublists_aux 0.000609 s: list.sublists_aux_cons_eq_sublists_aux₁ 0.000263 s: list.join._main 0.000024 s: list.join 0.000047 s: list.bind 0.000034 s: list.ret 0.000091 s: list.bind.equations._eqn_1 0.000167 s: list.join._main.equations._eqn_1 0.000068 s: list.join.equations._eqn_1 0.000512 s: list.join._main.equations._eqn_2 0.000087 s: list.join.equations._eqn_2 0.002172 s: list.bind_ret_eq_map 0.000707 s: list.cons_bind 0.002658 s: list.append_bind 0.000210 s: list.bind_append 0.002828 s: list.sublists_aux₁_bind 0.003031 s: multiset.powerset_aux_eq_map_coe 0.000150 s: list.sublists'.equations._eqn_1 0.001110 s: list.sublists'_aux._main.equations._eqn_2 0.000353 s: list.sublists'_aux.equations._eqn_2 0.002764 s: list.map_sublists'_aux 0.001954 s: list.sublists'_aux_append 0.001674 s: list.sublists'_aux_eq_sublists' 0.001377 s: list.sublists'_cons 0.002647 s: list.sublists_aux_eq_foldr.aux 0.001631 s: list.sublists_aux_eq_foldr 0.000865 s: list.sublists_aux_cons_cons 0.000406 s: list.foldr_nil 0.000377 s: list.map_nil 0.003201 s: list.sublists_cons_perm_append 0.002725 s: list.sublists_perm_sublists' 0.000393 s: multiset.powerset_aux_perm_powerset_aux' 0.001002 s: multiset.powerset_aux'_nil 0.000120 s: multiset.powerset_aux'.equations._eqn_1 0.002246 s: multiset.powerset_aux'_cons 0.000737 s: multiset.cons_swap 0.000935 s: multiset.cons_inj_right 0.002076 s: multiset.powerset_aux'_perm 0.000116 s: multiset.powerset_aux_perm 0.000131 s: multiset.powerset._proof_1 0.000242 s: multiset.powerset 0.000156 s: multiset.quot_mk_to_coe 0.000353 s: multiset.powerset_coe' 0.000390 s: multiset.mem_coe 0.000327 s: list.sublists'_nil 0.000116 s: list.eq_of_mem_singleton 0.000371 s: list.mem_singleton 0.003326 s: list.mem_sublists' 0.000195 s: list.subperm.equations._eqn_1 0.000028 s: list.inhabited 0.001733 s: multiset.mem_powerset 0.000140 s: finset.powerset._proof_1 0.000421 s: multiset.nodup_of_nodup_map 0.001153 s: multiset.coe_map 0.000857 s: multiset.powerset_coe 0.000283 s: list.sublist.map 0.000183 s: list.reverse_rec_on._proof_1 0.000178 s: list.reverse_rec_on._proof_2 0.000776 s: list.reverse_rec_on 0.000358 s: list.monad 0.000705 s: list.traverse._main 0.000086 s: list.traverse 0.000123 s: list.traversable 0.000282 s: list.sublists_aux₁._main.equations._eqn_1 0.000072 s: list.sublists_aux₁.equations._eqn_1 0.002859 s: list.sublists_aux₁_append 0.000641 s: list.bind_eq_bind 0.006549 s: list.sublists_aux_cons_append 0.000699 s: list.map_eq_map 0.000989 s: list.map_id' 0.001832 s: list.sublists_append 0.000420 s: list.sublists_singleton 0.000545 s: list.nil_bind 0.001289 s: list.sublists_concat 0.000091 s: list.sublist_append_of_sublist_left 0.002432 s: list.sublist.append_right 0.000927 s: list.sublist.reverse 0.000281 s: list.reverse_sublist_iff 0.002959 s: list.sublists_reverse 0.000196 s: list.sublists_eq_sublists' 0.000440 s: list.sublists'_reverse 0.000507 s: list.mem_map_of_injective 0.000051 s: list.reverse_involutive 0.000062 s: list.reverse_injective 0.000370 s: list.mem_sublists 0.000296 s: list.append_sublist_append_right 0.001324 s: list.map_ret_sublist_sublists 0.001882 s: multiset.map_single_le_powerset 0.000354 s: multiset.coe_nodup 0.003335 s: list.nodup.sublist_ext 0.000213 s: list.sublists'_eq_sublists 0.000131 s: list.nodup_map_iff 0.001028 s: list.lex 0.000065 s: list.reverse_inj 0.000635 s: list.lex.dcases_on 0.001418 s: list.lex.to_ne 0.002331 s: list.pairwise_sublists' 0.000991 s: list.mem_reverse 0.001525 s: list.pairwise_reverse 0.000594 s: list.pairwise_sublists 0.000607 s: list.nodup_sublists 0.000754 s: list.nodup_reverse 0.000311 s: list.nodup_sublists' 0.001359 s: multiset.nodup_powerset 0.000609 s: finset.powerset._proof_2 0.000192 s: finset.powerset 0.000174 s: finset.has_decidable_eq._main 0.000020 s: finset.has_decidable_eq 0.000108 s: multiset.nodup_erase_of_nodup 0.000091 s: finset.erase._proof_1 0.000069 s: finset.erase 0.000259 s: finset.powerset.equations._eqn_1 0.000089 s: finset.no_confusion_type 0.000188 s: finset.no_confusion 0.000111 s: finset.mk.inj 0.000300 s: finset.mk.inj_eq 0.001602 s: finset.mem_powerset 0.001973 s: list.nodup_erase_eq_filter 0.000752 s: multiset.nodup_erase_eq_filter 0.001156 s: multiset.mem_erase_iff_of_nodup 0.000425 s: finset.mem_erase 0.000992 s: finset.subset_insert_iff 0.000024 s: dec_em 0.000884 s: finset.insert_erase 0.000132 s: multiset.erase_subset 0.000459 s: finset.erase_subset 0.000183 s: finset.erase_insert_subset 0.000240 s: finset.erase_eq_of_not_mem 0.000914 s: finset.ne_insert_of_not_mem 0.003211 s: finset.powerset_insert 0.001152 s: finset.prod_union_inter 0.001610 s: finset.prod_union 0.000612 s: finset.disjoint_iff_ne 0.000143 s: finset.not_mem_of_mem_powerset_of_not_mem 0.000898 s: finset.prod_image 0.000042 s: and.imp_right 0.000133 s: and_or_distrib_left 0.000031 s: and.elim 0.000042 s: not_and_self 0.000735 s: finset.erase_insert 0.002298 s: finset.prod_powerset_insert 0.000619 s: measurable_space 0.000044 s: set.Ici 0.000078 s: filter.at_top 0.000143 s: has_sum 0.000059 s: summable 0.000136 s: tsum 0.002072 s: topological_space.generate_open 0.000124 s: topological_space.generate_from 0.000115 s: preorder.topology 0.000064 s: ennreal.topological_space 0.006832 s: measure_theory.outer_measure 0.000208 s: measurable_space.measurable_set' 0.000028 s: measurable_set 0.000023 s: pairwise 0.000028 s: function.on_fun 0.000241 s: measure_theory.outer_measure.measure_of 0.000581 s: t2_space 0.004825 s: filter.has_basis.inf 0.001861 s: filter.has_basis.inf_basis_ne_bot_iff 0.000422 s: filter.has_basis.inf_ne_bot_iff 0.000214 s: filter.inf_ne_bot_iff 0.000261 s: t2_space.t2 0.001256 s: eq_of_nhds_ne_bot 0.000227 s: ne_bot_of_le_ne_bot 0.005413 s: filter.ne_bot.mono 0.000081 s: filter.ne_bot_of_le 0.000366 s: is_least.unique 0.000149 s: is_lub.unique 0.000248 s: set.ball_image_of_ball 0.000611 s: monotone.mem_upper_bounds_image 0.000814 s: galois_connection.upper_bounds_l_image_subset 0.001015 s: galois_connection.is_lub_l_image 0.000556 s: galois_connection.l_bot 0.012547 s: filter.map_bot 0.002994 s: filter.map_eq_bot_iff 0.000604 s: filter.map_ne_bot_iff 0.000070 s: filter.ne_bot.map 0.000053 s: filter.map_ne_bot 0.006951 s: tendsto_nhds_unique 0.001472 s: filter.has_basis_infi_principal 0.000178 s: set.mem_Ici 0.000141 s: set.left_mem_Ici 0.000409 s: set.Ici_subset_Ici 0.001102 s: filter.at_top_basis 0.000189 s: set.nonempty_Ici 0.000250 s: filter.at_top_ne_bot 0.007353 s: has_sum.unique 0.000271 s: tsum.equations._eqn_1 0.001171 s: summable.has_sum 0.000193 s: has_sum.tsum_eq 0.000189 s: has_sum.equations._eqn_1 0.000662 s: all_mem_nhds 0.000429 s: all_mem_nhds_filter 0.001433 s: tendsto_nhds 0.000457 s: tendsto_const_nhds 0.000880 s: has_sum_zero 0.000163 s: tsum_zero 0.000319 s: t1_space 0.000851 s: regular_space 0.000083 s: set.eq_empty_of_subset_empty 0.000729 s: regular_space.t2_space._match_1 0.001648 s: regular_space.t2_space._match_2 0.001448 s: regular_space.t2_space._match_3 0.000764 s: regular_space.t2_space._match_4 0.000443 s: regular_space.regular 0.000070 s: t1_space.t1 0.000045 s: is_closed_singleton 0.000116 s: regular_space.to_t1_space 0.000403 s: regular_space.t2_space 0.000043 s: set.Iio 0.000479 s: order_topology 0.000783 s: is_open_iff_forall_mem_open 0.001889 s: t2_space.t1_space._match_1 0.000275 s: t2_separation 0.000280 s: set.mem_singleton_of_eq 0.001200 s: t2_space.t1_space 0.000074 s: Prop.linear_order._proof_1 0.000083 s: Prop.linear_order._proof_2 0.000177 s: Prop.linear_order._proof_3 0.000151 s: Prop.linear_order._proof_4 0.001469 s: Prop.linear_order._proof_5 0.000036 s: Prop.linear_order._proof_6 0.000039 s: Prop.linear_order._proof_7 0.000105 s: Prop.linear_order._proof_8 0.000110 s: Prop.linear_order._proof_9 0.000622 s: Prop.linear_order 0.000160 s: tmp_order._proof_1 0.000693 s: tmp_order._proof_2 0.000248 s: tmp_order._proof_3 0.000336 s: topological_space.cases_on 0.001174 s: topological_space_eq 0.000058 s: complete_lattice_Prop._proof_1 0.000057 s: complete_lattice_Prop._proof_2 0.000179 s: complete_lattice_Prop._proof_3 0.000167 s: complete_lattice_Prop._proof_4 0.000265 s: complete_lattice_Prop._proof_5 0.000208 s: complete_lattice_Prop._proof_6 0.000241 s: complete_lattice_Prop._proof_7 0.000193 s: complete_lattice_Prop._proof_8 0.000180 s: complete_lattice_Prop._proof_9 0.000254 s: complete_lattice_Prop._proof_10 0.000193 s: complete_lattice_Prop._proof_11 0.000179 s: complete_lattice_Prop._proof_12 0.000086 s: complete_lattice_Prop._proof_13 0.000624 s: complete_lattice_Prop._match_1 0.000184 s: complete_lattice_Prop._proof_14 0.000033 s: complete_lattice_Prop._proof_15 0.000313 s: complete_lattice_Prop._proof_16 0.001974 s: complete_lattice_Prop 0.006837 s: tmp_order._proof_4 0.001298 s: tmp_order 0.000313 s: mk_of_closure._proof_1 0.000441 s: mk_of_closure._proof_2 0.000344 s: mk_of_closure._proof_3 0.000300 s: mk_of_closure 0.000317 s: topological_space.generate_open.rec_on 0.002781 s: _private.1762982821.generate_from_le_iff_subset_is_open 0.002011 s: gi_generate_from._proof_1 0.000104 s: gi_generate_from._proof_2 0.000212 s: gi_generate_from._proof_3 0.000302 s: mk_of_closure_sets 0.002130 s: gi_generate_from._proof_4 0.002324 s: gi_generate_from 0.000110 s: tmp_complete_lattice 0.000059 s: topological_space.complete_lattice 0.000172 s: prod.topological_space 0.000436 s: order_closed_topology 0.000113 s: set.prod 0.000612 s: order_closed_topology.to_t2_space._match_1 0.001209 s: order_closed_topology.to_t2_space._match_2 0.000174 s: filter.prod.equations._eqn_1 0.000171 s: prod.topological_space.equations._eqn_1 0.000202 s: is_greatest.unique 0.000118 s: is_glb.unique 0.000039 s: set.insert 0.000059 s: set.has_insert 0.000321 s: monotone.mem_lower_bounds_image 0.000482 s: galois_connection.lower_bounds_u_image_subset 0.000676 s: galois_connection.is_glb_u_image 0.000273 s: set.insert_eq 0.000902 s: is_lub.union 0.003667 s: is_glb.union 0.000251 s: is_least.is_glb 0.000112 s: set.eq_of_mem_singleton 0.000165 s: is_greatest_singleton 0.000308 s: is_least_singleton 0.000139 s: is_glb_singleton 0.000432 s: is_glb.insert 0.000153 s: is_glb_pair 0.000181 s: set.mem_insert_iff 0.000350 s: exists_or_distrib 0.002247 s: set.image_insert_eq 0.000290 s: set.set_of_eq_eq_singleton 0.002190 s: set.image_singleton 0.000852 s: set.image_pair 0.001410 s: galois_connection.u_inf 0.000106 s: topological_space.nhds_adjoint._proof_1 0.000693 s: topological_space.nhds_adjoint._match_1 0.000363 s: topological_space.nhds_adjoint._proof_2 0.000723 s: topological_space.nhds_adjoint._match_2 0.000221 s: topological_space.nhds_adjoint._proof_3 0.000202 s: topological_space.nhds_adjoint 0.000142 s: topological_space.partial_order._proof_1 0.000572 s: topological_space.partial_order._proof_2 0.000176 s: topological_space.partial_order._proof_3 0.006398 s: topological_space.partial_order._proof_4 0.001574 s: topological_space.partial_order 0.000499 s: supr_congr_Prop 0.000440 s: infi_congr_Prop 0.158198 s: le_nhds_iff 0.003360 s: gc_nhds 0.031654 s: nhds_inf 0.005343 s: nhds_prod_eq 0.001975 s: filter.has_basis.comap 0.001460 s: filter.has_basis.prod 0.000763 s: filter.has_basis.prod_nhds 0.000437 s: prod.exists 0.005887 s: is_open_prod_iff 0.000212 s: order_closed_topology.is_closed_le' 0.000802 s: continuous 0.001995 s: set.preimage_compl 0.000525 s: is_closed_compl_iff 0.000353 s: is_open.is_closed_compl 0.000319 s: continuous.is_open_preimage 0.000268 s: continuous_def 0.002749 s: continuous_iff_is_closed 0.000174 s: topological_space.coinduced._proof_1 0.000310 s: topological_space.coinduced._proof_2 0.001929 s: set.preimage_sUnion 0.000690 s: topological_space.coinduced._proof_3 0.000237 s: topological_space.coinduced 0.002154 s: continuous_iff_coinduced_le 0.031037 s: continuous_inf_rng 0.007646 s: continuous_induced_rng 0.000935 s: continuous.prod_mk 0.000181 s: is_closed_le_prod 0.001001 s: is_closed_le 0.001946 s: continuous_le_dom 0.026349 s: continuous_inf_dom_right 0.000459 s: continuous_induced_dom 0.000299 s: continuous_snd 0.030295 s: continuous_inf_dom_left 0.000233 s: continuous_fst 0.004892 s: _private.1132998013.is_closed_eq_aux 0.001735 s: order_closed_topology.to_t2_space 0.001766 s: order_topology.to_order_closed_topology._match_1 0.000603 s: order_topology.to_order_closed_topology._match_2 0.001298 s: order_topology.to_order_closed_topology._match_3 0.000275 s: order_topology.topology_eq_generate_intervals 0.000560 s: is_open_iff_generate_intervals 0.000562 s: is_open_gt' 0.000422 s: is_open_lt' 0.000509 s: dense_or_discrete 0.005819 s: order_separated 0.003246 s: order_topology.to_order_closed_topology 0.000160 s: ne_iff_lt_or_gt 0.159775 s: nhds_within_union 0.168212 s: order_topology.regular_space._match_5 0.000083 s: set.Ico 0.002459 s: filter.inf_principal_eq_bot 0.009558 s: order_topology.regular_space._match_3 0.002077 s: order_topology.regular_space._match_4 0.000056 s: set.Ioc 0.000088 s: order_dual.linear_order._proof_1 0.000127 s: order_dual.linear_order._proof_2 0.000311 s: order_dual.linear_order._proof_3 0.000288 s: order_dual.linear_order._proof_4 0.000098 s: order_dual.linear_order._proof_5 0.000097 s: order_dual.linear_order._proof_6 0.000163 s: order_dual.linear_order._proof_7 0.000311 s: order_dual.linear_order._proof_8 0.000306 s: order_dual.linear_order._proof_9 0.002753 s: order_dual.linear_order 0.000736 s: set.dual_Ico 0.000492 s: set.dual_Ioc 0.000287 s: infi_le_infi_const 0.000843 s: topological_space.generate_open.drec 0.173189 s: topological_space.nhds_generate_from 0.000377 s: le_binfi 0.183251 s: nhds_eq_order 0.000072 s: set.Iic 0.000065 s: set.subset.rfl 0.000110 s: set.inter_subset_inter_right 0.000186 s: set.mem_Iic 0.000122 s: set.right_mem_Iic 0.000550 s: set.Iic_subset_Iio 0.002869 s: max_lt 0.000242 s: set.mem_Iio 0.000090 s: order.preimage.equations._eqn_1 0.000286 s: set.Ioi_subset_Ioi 0.003732 s: set.Ioi_subset_Ioi_iff 0.003493 s: le_sup_iff 0.000257 s: is_total.swap 0.000279 s: order_dual.is_total_le 0.003851 s: inf_le_iff 0.003208 s: min_le_iff 0.003578 s: le_max_iff 0.172499 s: exists_Ioc_subset_of_mem_nhds' 0.000054 s: order_dual.topological_space 0.003052 s: order_dual.order_topology 0.013332 s: exists_Ico_subset_of_mem_nhds' 0.000096 s: Exists.snd 0.003926 s: exists_Ico_subset_of_mem_nhds 0.000833 s: is_lub_Sup 0.000152 s: is_lub.Sup_eq 0.003393 s: Sup_empty 0.002265 s: set.sUnion_empty 0.000318 s: is_open_empty 0.000174 s: nhds_within.equations._eqn_1 0.155013 s: nhds_within_empty 0.002070 s: order_topology.regular_space._match_6 0.011138 s: order_topology.regular_space._match_1 0.001819 s: order_topology.regular_space._match_2 0.000825 s: exists_Ioc_subset_of_mem_nhds 0.001829 s: order_topology.regular_space 0.000294 s: ennreal.order_topology 0.000047 s: ennreal.t2_space 0.000417 s: nonpos_iff_eq_zero 0.025242 s: measure_theory.outer_measure.of_function._proof_1 0.000454 s: infi_le_infi2 0.010224 s: measure_theory.outer_measure.of_function._proof_2 0.021402 s: ennreal.not_top_le_coe 0.002508 s: le_of_forall_le_of_dense 0.000444 s: lt_add_iff_pos_right 0.026546 s: nnreal.le_of_forall_pos_le_add 0.000069 s: true_implies_iff 0.019372 s: ennreal.le_of_forall_pos_le_add 0.000440 s: encodable 0.000057 s: nnreal.equations._eqn_1 0.000080 s: nnreal.pseudo_metric_space._proof_1 0.000101 s: pseudo_metric_space.induced._proof_1 0.000087 s: pseudo_metric_space.induced._proof_2 0.000141 s: pseudo_metric_space.induced._proof_3 0.000087 s: pseudo_metric_space.induced._proof_4 0.002450 s: metric.dist_mem_uniformity 0.002430 s: pseudo_metric_space.induced._match_1 0.003231 s: pseudo_metric_space.induced._proof_5 0.001497 s: pseudo_metric_space.induced 0.000110 s: subtype.psudo_metric_space 0.000109 s: nnreal.pseudo_metric_space 0.000025 s: nnreal.topological_space 0.000022 s: real.add_comm_monoid 0.000028 s: real.monoid 0.000104 s: encodable.encode 0.000181 s: nontrivial_of_lt 0.003864 s: pow_pos 0.000111 s: uniform_continuous 0.000605 s: uniform_space.of_core_eq._proof_1 0.000125 s: uniform_space.of_core_eq 0.153107 s: uniform_space.has_Inf._proof_1 0.152885 s: uniform_space.has_Inf._proof_2 0.289147 s: filter.lift_mono 0.003884 s: filter.lift'_mono 0.154752 s: uniform_space.has_Inf._proof_3 0.151871 s: uniform_space.has_Inf 0.000149 s: uniform_space.partial_order._proof_1 0.000651 s: uniform_space.partial_order._proof_2 0.000203 s: uniform_space.partial_order._proof_3 0.002555 s: uniform_space.cases_on 0.000299 s: uniform_space.mk' 0.000061 s: iff_iff_eq 0.000035 s: eq_iff_iff 0.000576 s: uniform_space.core.cases_on 0.001344 s: uniform_space.core_eq 0.002904 s: uniform_space_eq 0.002516 s: uniform_space.partial_order._proof_4 0.001021 s: uniform_space.partial_order 0.000077 s: uniform_space.complete_lattice._proof_1 0.000079 s: uniform_space.complete_lattice._proof_2 0.000237 s: uniform_space.complete_lattice._proof_3 0.000186 s: uniform_space.complete_lattice._proof_4 0.156144 s: _private.3316010141.le_Inf 0.000382 s: uniform_space.complete_lattice._match_1 0.000208 s: uniform_space.complete_lattice._proof_5 0.000272 s: uniform_space.complete_lattice._match_2 0.001644 s: uniform_space.complete_lattice._proof_6 0.148614 s: _private.437975945.Inf_le 0.006311 s: uniform_space.complete_lattice._proof_7 0.000639 s: uniform_space.complete_lattice._proof_8 0.000431 s: uniform_space.complete_lattice._proof_9 0.002339 s: uniform_space.complete_lattice._proof_10 0.000151 s: uniform_space.has_top._proof_1 0.000156 s: uniform_space.has_top._proof_2 0.000138 s: uniform_space.has_top._proof_3 0.005242 s: uniform_space.has_top 0.005413 s: uniform_space.complete_lattice._proof_11 0.000085 s: uniform_space.has_bot._proof_1 0.000940 s: filter.map_principal 0.001038 s: set.image_subset_preimage_of_inverse 0.000448 s: set.preimage_subset_image_of_inverse 0.000433 s: set.image_eq_preimage_of_inverse 0.000224 s: prod.swap_swap 0.000092 s: prod.swap_left_inverse 0.000085 s: prod.swap_right_inverse 0.000177 s: set.image_swap_eq_preimage_swap 0.000160 s: prod.swap_prod_mk 0.000956 s: swap_id_rel 0.000654 s: uniform_space.has_bot._proof_2 0.161207 s: filter.lift_principal 0.000636 s: filter.lift'_principal 0.000428 s: mem_comp_rel 0.001958 s: id_comp_rel 0.001257 s: uniform_space.has_bot._proof_3 0.000102 s: is_open_fold 0.000311 s: discrete_topology 0.000088 s: discrete_topology.eq_bot 0.003078 s: is_open_discrete 0.000095 s: discrete_topology_bot 0.004920 s: uniform_space.has_bot._proof_4 0.000517 s: uniform_space.has_bot 0.000120 s: uniform_space.complete_lattice._proof_12 0.000251 s: uniform_space.complete_lattice._proof_13 0.002757 s: uniform_space.complete_lattice._proof_14 0.000110 s: uniform_space.complete_lattice._proof_15 0.002293 s: uniform_space.complete_lattice._proof_16 0.005083 s: uniform_space.complete_lattice 0.002796 s: Sup_eq_supr 0.003204 s: Inf_eq_infi 0.002845 s: le_of_nhds_le_nhds 0.000280 s: eq_of_nhds_eq_nhds 0.000467 s: is_glb_Inf 0.000109 s: is_glb.Inf_eq 0.000246 s: is_glb.infi_eq 0.000077 s: Inf_range 0.000865 s: galois_connection.u_infi 0.182366 s: nhds_infi 0.002543 s: nhds_basis_uniformity' 0.000628 s: nhds_eq_uniformity 0.290462 s: infi_uniformity 0.000240 s: plift 0.000095 s: inf_is_commutative 0.000053 s: finset.inf._proof_1 0.000113 s: inf_is_associative 0.000061 s: finset.inf._proof_2 0.000142 s: finset.inf 0.000067 s: plift.down 0.000261 s: finset.sup_le 0.005361 s: finset.sup_eq_supr 0.006894 s: finset.inf_eq_infi 0.005367 s: infi_eq_infi_finset 0.159838 s: filter.infi_sets_eq_finite 0.000096 s: plift.cases_on 0.000146 s: plift.up_down 0.000038 s: plift.down_up 0.000188 s: equiv.plift 0.000107 s: supr.equations._eqn_1 0.000999 s: function.surjective.exists 0.000496 s: function.surjective.range_comp 0.000748 s: function.surjective.supr_comp 0.000434 s: function.surjective.infi_comp 0.000355 s: equiv.surjective 0.001169 s: filter.infi_sets_eq_finite' 0.004015 s: filter.mem_infi_finite' 0.000161 s: function.injective.decidable_eq 0.000177 s: equiv.decidable_eq 0.000091 s: plift.decidable_eq 0.000184 s: is_idempotent 0.000815 s: finset.insert_idem 0.000081 s: is_idempotent.idempotent 0.001693 s: finset.fold_insert_idem 0.000447 s: sup_idem 0.000323 s: inf_idem 0.000049 s: inf_is_idempotent 0.000529 s: finset.inf_insert 0.154825 s: filter.infi_sets_induct 0.001822 s: le_of_inf_eq 0.000051 s: and_iff_left_of_imp 0.000050 s: and_iff_left_iff_imp 0.000315 s: set.inter_eq_left_iff_subset 0.000100 s: set.inter_eq_self_of_subset_left 0.306704 s: filter.lift_infi 0.002336 s: filter.principal_eq_iff_eq 0.001357 s: filter.lift'_infi 0.003279 s: infi_of_empty' 0.000117 s: infi_of_empty 0.007062 s: to_topological_space_top 0.003704 s: to_topological_space_infi 0.001643 s: to_topological_space_Inf 0.003974 s: infi_or 0.002949 s: infi_inf_eq 0.001615 s: infi_union 0.000742 s: infi_infi_eq_left 0.000875 s: infi_insert 0.000696 s: infi_singleton 0.000520 s: infi_pair 0.002323 s: to_topological_space_inf 0.000161 s: to_topological_space_comap 0.000558 s: uniform_space.core.to_topological_space.equations._eqn_1 0.000983 s: uniform_space.to_core_to_topological_space 0.000774 s: prod.uniform_space._proof_1 0.000298 s: prod.uniform_space 0.008090 s: uniform_add_group 0.000124 s: cauchy 0.000582 s: complete_space 0.000182 s: set.indicator 0.000165 s: set.piecewise 0.000092 s: set.eq_on 0.000364 s: set.comp_eq_of_eq_on_range 0.000320 s: set.piecewise_eq_of_mem 0.000452 s: set.piecewise_eq_on 0.000351 s: set.piecewise_range_comp 0.000373 s: set.indicator_range_comp 0.000041 s: true.dcases_on 0.000264 s: infi_true 0.155931 s: filter.has_basis.eq_infi 0.005106 s: filter.has_basis.map 0.000514 s: filter.map_at_top_eq 0.000276 s: finset.le_eq_subset 0.160956 s: filter.map_at_top_finset_sum_le_of_sum_eq 0.000243 s: set.inj_on_of_injective 0.000105 s: function.injective.inj_on 0.004167 s: finset.sum_sdiff 0.001111 s: finset.sum_subset 0.000137 s: set.inj_on.equations._eqn_1 0.000780 s: finset.coe_inj 0.000450 s: set.mem_image_iff_bex 0.001613 s: finset.coe_image 0.000754 s: set.coe_to_finset 0.000483 s: set.finite.coe_to_finset 0.000313 s: finset.coe_preimage 0.001522 s: set.image_preimage_eq_inter_range 0.000773 s: finset.coe_filter 0.000201 s: set.sep_mem_eq 0.001461 s: finset.image_preimage 0.001955 s: finset.sum_preimage' 0.000036 s: not_imp_comm 0.000945 s: finset.sum_filter_of_ne 0.000027 s: not.imp_symm 0.000832 s: finset.sum_preimage 0.000627 s: finset.coe_subset 0.001168 s: finset.image_subset_iff 0.000734 s: finset.image_subset_iff_subset_preimage 0.003594 s: function.injective.map_at_top_finset_sum_eq 0.001376 s: function.injective.has_sum_iff 0.000608 s: function.injective.summable_iff 0.000329 s: set.indicator_of_not_mem 0.000135 s: cauchy_seq 0.000196 s: complete_space.complete 0.013513 s: filter.prod_mono 0.000475 s: cauchy.mono 0.000313 s: filter.has_pure._proof_1 0.000153 s: filter.has_pure._proof_2 0.000590 s: filter.has_pure 0.000306 s: set.not_mem_empty 0.000544 s: filter.pure_ne_bot 0.000270 s: filter.mem_pure_sets 0.002919 s: mem_of_nhds 0.000792 s: pure_le_nhds 0.000226 s: nhds_ne_bot 0.000255 s: filter.lift.equations._eqn_1 0.153936 s: filter.lift_inf 0.291620 s: filter.le_lift 0.000416 s: filter.lift_const 0.155116 s: filter.mem_lift 0.000349 s: filter.mem_principal_self 0.158311 s: filter.lift_principal2 0.004222 s: filter.prod_def 0.000139 s: filter.functor 0.163250 s: filter.lift_assoc 0.003375 s: set.monotone_preimage 0.005939 s: lift_nhds_left 0.000173 s: set.preimage_id 0.002895 s: filter.map_eq_comap_of_inverse 0.000214 s: prod.swap_swap_eq 0.000598 s: filter.map_swap_eq_comap_swap 0.000391 s: uniformity_le_symm 0.000186 s: uniformity_eq_symm 0.154978 s: filter.map_lift_eq2 0.003079 s: lift_nhds_right 0.000823 s: filter.monotone_lift' 0.000124 s: monotone_const 0.000454 s: monotone_lam 0.000846 s: set.prod_mono 0.003929 s: set.monotone_prod 0.001987 s: nhds_nhds_eq_uniformity_uniformity_prod 0.157058 s: cauchy_nhds 0.000439 s: cauchy_iff_exists_le_nhds 0.000258 s: cauchy_map_iff_exists_tendsto 0.012233 s: summable_iff_cauchy_seq_finset 0.000108 s: prod.has_le 0.000541 s: prod.preorder._match_1 0.000166 s: prod.preorder._proof_1 0.001825 s: prod.preorder._match_2 0.001315 s: prod.preorder._match_3 0.000565 s: prod.preorder._match_4 0.000445 s: prod.preorder._match_5 0.000313 s: prod.preorder._match_6 0.000180 s: prod.preorder._proof_2 0.000127 s: prod.preorder._proof_3 0.000441 s: prod.preorder 0.000169 s: cauchy_seq.equations._eqn_1 0.000138 s: cauchy.equations._eqn_1 0.000207 s: filter.inter_mem_inf_sets 0.000337 s: filter.preimage_mem_comap 0.000909 s: filter.prod_mem_prod 0.000228 s: set.subset_preimage_image 0.000503 s: filter.image_mem_map 0.000226 s: set.mem_prod 0.000590 s: exists_and_distrib_right 0.003597 s: set.prod_image_image_eq 0.003839 s: filter.mem_prod_iff 0.006818 s: filter.tendsto_inf_left 0.000250 s: filter.tendsto_fst 0.007197 s: filter.tendsto_inf_right 0.000278 s: filter.tendsto_snd 0.005230 s: filter.prod_map_map_eq 0.001048 s: cauchy_map_iff 0.000171 s: filter.at_top.equations._eqn_1 0.299045 s: filter.comap_infi 0.000264 s: set.range_subset_iff 0.000559 s: set.range_const_subset 0.000513 s: set.range_const 0.000134 s: Inf_singleton 0.002471 s: infi_const 0.000656 s: infi_inf 0.000867 s: inf_infi 0.147809 s: filter.prod_infi_right 0.151994 s: filter.prod_infi_left 0.004271 s: filter.prod_principal_principal 0.000665 s: infi_prod 0.000587 s: infi_comm 0.000247 s: filter.filter_eq_bot_of_not_nonempty 0.000215 s: nonempty_prod 0.002024 s: filter.comap_bot 0.152788 s: filter.bot_prod 0.152697 s: filter.prod_bot 0.161897 s: filter.prod_at_top_at_top_eq 0.004200 s: filter.comap_comap 0.001196 s: filter.mem_map_sets_iff 0.000736 s: mem_map_sets_iff' 0.000642 s: filter.tendsto_map'_iff 0.159436 s: inf_uniformity 0.008924 s: uniformity_prod 0.017279 s: filter.comap_inf 0.004851 s: uniformity_prod_eq_prod 0.000227 s: uniform_continuous.equations._eqn_1 0.003643 s: mem_uniformity_of_uniform_continuous_invariant 0.000213 s: uniform_add_group.uniform_continuous_sub 0.000163 s: uniform_continuous_sub 0.000722 s: uniform_continuous.comp 0.001367 s: uniform_continuous.prod_mk 0.000612 s: uniform_continuous.sub 0.007647 s: uniform_continuous_of_const 0.000085 s: uniform_continuous_const 0.001316 s: uniform_continuous.neg 0.001166 s: uniform_continuous.add 0.005967 s: tendsto_prod_uniformity_fst 0.000167 s: uniform_continuous_fst 0.004115 s: tendsto_prod_uniformity_snd 0.000180 s: uniform_continuous_snd 0.000477 s: uniform_continuous_add 0.003361 s: uniformity_eq_comap_nhds_zero 0.000097 s: prod.has_sup 0.000115 s: prod.partial_order._proof_1 0.000379 s: prod.partial_order._proof_2 0.000472 s: prod.partial_order._proof_3 0.001491 s: prod.partial_order._match_1 0.001093 s: prod.partial_order._match_2 0.000739 s: prod.partial_order._match_3 0.000701 s: prod.partial_order._match_4 0.000286 s: prod.partial_order._proof_4 0.000513 s: prod.partial_order 0.000113 s: prod.semilattice_sup._proof_1 0.000157 s: prod.semilattice_sup._proof_2 0.000205 s: prod.semilattice_sup._proof_3 0.000275 s: prod.semilattice_sup._proof_4 0.000640 s: prod.semilattice_sup._proof_5 0.000519 s: prod.semilattice_sup._proof_6 0.001505 s: prod.semilattice_sup._proof_7 0.001493 s: prod.semilattice_sup 0.000750 s: filter.tendsto_def 0.000020 s: true.inhabited 0.000823 s: filter.mem_at_top_sets 0.000752 s: filter.tendsto_at_top' 0.000075 s: prod.nonempty 0.000102 s: disjoint.symm 0.000393 s: has_continuous_add 0.000428 s: topological_add_group 0.002600 s: filter.has_basis.prod_self 0.000354 s: filter.mem_prod_self_iff 0.000317 s: set.mk_mem_prod 0.000778 s: set.prod_subset_iff 0.000068 s: continuous_at 0.001014 s: filter.has_basis.ge_iff 0.001031 s: filter.has_basis.tendsto_right_iff 0.000651 s: filter.has_basis.eventually_iff 0.001198 s: filter.has_basis.tendsto_iff 0.000124 s: is_open.preimage 0.001270 s: continuous.tendsto 0.003306 s: continuous_iff_continuous_at 0.000267 s: has_continuous_add.continuous_add 0.000534 s: tendsto_add 0.001127 s: filter.tendsto.prod_mk_nhds 0.001048 s: filter.tendsto.add 0.000374 s: continuous_at.add 0.000191 s: topological_add_group.to_has_continuous_add 0.000107 s: continuous.continuous_at 0.000152 s: continuous_at_fst 0.000133 s: topological_add_group.continuous_neg 0.000954 s: filter.tendsto.neg 0.000212 s: continuous_at_snd 0.006245 s: exists_nhds_half_neg 0.005173 s: coinduced_le_iff_le_induced 0.000222 s: gc_coinduced_induced 0.000353 s: continuous_iff_le_induced 0.001294 s: to_nhds_mono 0.000134 s: to_topological_space_mono 0.001099 s: uniform_continuous_iff 0.000434 s: uniform_continuous.continuous 0.000480 s: filter.map_id 0.000437 s: filter.tendsto_id' 0.000065 s: filter.tendsto_id 0.000595 s: uniform_continuous_id 0.000136 s: uniform_continuous_neg 0.000401 s: uniform_add_group.to_topological_add_group 0.012074 s: cauchy_seq_finset_iff_vanishing 0.001850 s: summable_iff_vanishing 0.000429 s: finset.disjoint_of_subset_left 0.003572 s: summable.summable_of_eq_zero_or_self 0.000269 s: set.indicator_of_mem 0.000343 s: set.indicator_eq_zero_or_self 0.000319 s: summable.indicator 0.004134 s: summable.comp_injective 0.002404 s: uniform_add_group.mk' 0.001622 s: prod.pseudo_metric_space_max._proof_1 0.000719 s: prod.pseudo_metric_space_max._proof_2 0.007244 s: prod.pseudo_metric_space_max._proof_3 0.004092 s: monotone.map_max 0.002365 s: max_le_max 0.003134 s: nnreal.of_real_mono 0.000746 s: nnreal.of_real_le_of_real 0.000345 s: ennreal.of_real_le_of_real 0.002282 s: prod.pseudo_metric_space_max._proof_4 0.000184 s: set.preimage_set_of_eq 0.000154 s: forall_3_true_iff 0.154003 s: prod.pseudo_metric_space_max._proof_5 0.003814 s: prod.pseudo_metric_space_max 0.001397 s: filter.has_basis.uniform_continuous_iff 0.001333 s: metric.uniform_continuous_iff 0.922624 s: real.uniform_continuous_add 0.001267 s: real.dist_eq 0.002075 s: real.uniform_continuous_neg 0.001682 s: real.uniform_add_group 0.000147 s: set.countable 0.000124 s: filter.is_countably_generated 0.003453 s: filter.has_antimono_basis 0.000226 s: filter.has_antimono_basis.decreasing 0.000237 s: filter.has_antimono_basis.to_has_basis 0.000053 s: exists_prop_of_true 0.000038 s: exists_true_left 0.000848 s: filter_basis 0.000207 s: filter_basis.sets 0.000320 s: filter.countable_filter_basis 0.000081 s: set.sInter 0.000914 s: set.fintype_empty._proof_1 0.000200 s: set.fintype_empty 0.000111 s: set.finite_empty 0.003564 s: Inf_empty 0.000782 s: set.sInter_empty 0.000485 s: filter.filter_basis.of_sets._proof_1 0.000846 s: set.fintype_union._proof_1 0.000286 s: set.fintype_union 0.000246 s: set.finite.union 0.002879 s: Inf_union 0.001863 s: set.sInter_union 0.001471 s: filter.filter_basis.of_sets._proof_2 0.000381 s: filter.filter_basis.of_sets 0.000148 s: filter.is_countably_generated.generating_set 0.000377 s: filter_basis.nonempty 0.000139 s: filter.is_countably_generated.countable_filter_basis._proof_1 0.000325 s: filter_basis.inter_sets 0.000247 s: filter.is_countably_generated.countable_filter_basis._proof_2 0.000096 s: encodable.decode 0.000237 s: encodable.encodek 0.000548 s: encodable.of_left_injection._proof_1 0.000184 s: encodable.of_left_injection 0.000080 s: function.partial_inv 0.000042 s: function.is_partial_inv 0.000060 s: option.some.inj_arrow 0.000130 s: function.partial_inv.equations._eqn_1 0.000922 s: function.partial_inv_of_injective 0.000114 s: encodable.of_inj._proof_1 0.000077 s: encodable.of_inj 0.000113 s: set.countable.to_encodable 0.000067 s: function.surj_inv 0.000078 s: function.right_inverse.left_inverse 0.000073 s: function.right_inverse.injective 0.000207 s: function.surj_inv_eq 0.000080 s: function.right_inverse_surj_inv 0.000073 s: function.injective_surj_inv 0.001381 s: set.countable.image 0.000243 s: function.embedding 0.000062 s: function.embedding.to_fun 0.000352 s: set.embedding_of_subset._proof_1 0.001188 s: set.embedding_of_subset._match_1 0.000556 s: set.embedding_of_subset._match_2 0.000384 s: set.embedding_of_subset._proof_2 0.000320 s: set.embedding_of_subset 0.000136 s: function.embedding.inj' 0.000257 s: set.countable.mono 0.000049 s: function.embedding.has_coe_to_fun 0.000314 s: finset.map._proof_1 0.000096 s: finset.map 0.001105 s: finset.mem_map 0.000528 s: set.embedding_of_subset_apply 0.000588 s: subtype.mk.inj_eq 0.000130 s: encodable.encode_subtype._main 0.000057 s: encodable.encode_subtype 0.000199 s: encodable.decode_subtype 0.000253 s: encodable.encode_subtype._main.equations._eqn_1 0.000148 s: encodable.encode_subtype.equations._eqn_1 0.000293 s: encodable.decode_subtype.equations._eqn_1 0.002419 s: encodable.subtype._match_1 0.000261 s: encodable.subtype._proof_1 0.000245 s: encodable.subtype 0.000398 s: set.countable_encodable 0.000282 s: set.countable_range 0.000131 s: encodable.of_left_inverse._proof_1 0.000201 s: encodable.of_left_inverse 0.000772 s: encodable.of_equiv 0.000086 s: nat.mkpair 0.000437 s: encodable.encode_list._main 0.000099 s: encodable.encode_list 0.000603 s: encodable.decode_list._match_1 0.000782 s: decode_list._main._pack._wf_rec_mk_dec_tactic._aux_1 0.000184 s: nat.bodd_div2._match_1 0.000226 s: nat.bodd_div2._main 0.000012 s: nat.bodd_div2 0.000016 s: nat.div2 0.000287 s: nat.shiftr._main 0.000017 s: nat.shiftr 0.000037 s: nat.sqrt_aux._match_1 0.001819 s: sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001236 s: sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_2 0.000044 s: nat.bodd 0.000034 s: bxor._main 0.000008 s: bxor 0.000019 s: band._main 0.000007 s: band 0.000091 s: nat.bodd_zero 0.000020 s: bnot._main 0.000007 s: bnot 0.000034 s: nat.bodd.equations._eqn_1 0.000249 s: nat.bodd_div2._main.equations._eqn_2 0.000034 s: nat.bodd_div2.equations._eqn_2 0.000699 s: nat.bodd_succ 0.001177 s: nat.bodd_add 0.001243 s: nat.bodd_mul 0.000039 s: bnot._main.equations._eqn_1 0.000017 s: bnot.equations._eqn_1 0.000027 s: bnot._main.equations._eqn_2 0.000014 s: bnot.equations._eqn_2 0.001393 s: nat.mod_two_eq_zero_or_one 0.001313 s: nat.mod_two_of_bodd 0.000046 s: nat.div2.equations._eqn_1 0.000632 s: nat.div2_succ 0.000073 s: cond._main.equations._eqn_2 0.000045 s: cond.equations._eqn_2 0.000126 s: cond._main.equations._eqn_1 0.000084 s: cond.equations._eqn_1 0.001909 s: nat.bodd_add_div2 0.000694 s: nat.div2_val 0.000133 s: nat.mul_pos 0.001165 s: nat.div_div_eq_div_mul 0.007815 s: nat.shiftr_eq_div_pow 0.000069 s: nat.le_div_iff_mul_le' 0.000578 s: nat.div_lt_iff_lt_mul' 0.006474 s: nat.sqrt_aux_dec 0.000804 s: nat.sqrt_aux._main._pack 0.000035 s: nat.sqrt_aux._main 0.000008 s: nat.sqrt_aux 0.000028 s: nat.bit 0.000282 s: nat.shiftl'._main 0.000012 s: nat.shiftl' 0.000010 s: nat.shiftl 0.000055 s: nat.sqrt._match_1 0.000705 s: nat.bit0_val 0.000433 s: nat.bit1_val 0.000896 s: nat.bit_val 0.000257 s: nat.bit_decomp 0.000541 s: binary_rec._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001661 s: nat.binary_rec._main._pack 0.000062 s: nat.binary_rec._main 0.000044 s: nat.binary_rec 0.000022 s: nat.size 0.000013 s: nat.sqrt 0.000064 s: nat.unpair 0.000070 s: nat.mkpair.equations._eqn_1 0.002469 s: nat.add_sub_cancel' 0.000053 s: _private.3216647591.is_sqrt 0.000040 s: nat.sqrt.equations._eqn_1 0.000178 s: nat.sqrt._match_1.equations._eqn_1 0.007788 s: nat.shiftl_eq_mul_pow 0.000082 s: nat.one_shiftl 0.000041 s: nat.size.equations._eqn_1 0.000073 s: nat.binary_rec._main._pack._proof_1 0.000074 s: nat.binary_rec._main._pack._proof_2 0.002283 s: nat.binary_rec._main._pack.equations._eqn_1 0.000331 s: nat.binary_rec._main.equations._eqn_1 0.000348 s: nat.binary_rec.equations._eqn_1 0.000037 s: cast 0.000237 s: eq_mpr_eq_cast 0.000066 s: cast_eq 0.001214 s: nat.div2_bit 0.001067 s: nat.size_bit 0.000639 s: nat.shiftl_succ 0.000100 s: nat.add_lt_add_right 0.000405 s: nat.add_lt_add 0.000050 s: nat.bit0_lt 0.000306 s: nat.add_le_add 0.000847 s: nat.bit1_lt_bit0 0.000319 s: nat.bit_lt_bit0 0.001826 s: nat.lt_size_self 0.001083 s: nat.mul_le_mul_of_nonneg_right 0.000907 s: nat.mul_le_mul_of_nonneg_left 0.000225 s: nat.mul_le_mul 0.004912 s: nat.pow_le_pow_of_le_right 0.000160 s: lt_of_not_ge' 0.000221 s: lt_imp_lt_of_le_imp_le 0.002932 s: nat.bit0_le 0.000351 s: nat.bit0_lt_bit1 0.003204 s: nat.bit0_le_bit 0.004295 s: nat.size_le 0.000799 s: nat.lt_size 0.001466 s: nat.size_pos 0.004780 s: nat.size_eq_zero 0.000083 s: _private.3216647591.is_sqrt.equations._eqn_1 0.001372 s: nat.sqrt._match_1.equations._eqn_2 0.001135 s: nat.sqrt_aux._main._pack.equations._eqn_1 0.000264 s: nat.sqrt_aux._main.equations._eqn_1 0.000152 s: nat.sqrt_aux.equations._eqn_1 0.000855 s: int.eq_neg_succ_of_lt_zero 0.002217 s: add_lt_add_iff_right 0.007078 s: sub_lt_sub_iff_right 0.000854 s: sub_lt_zero 0.000096 s: nat.sqrt_aux._match_1.equations._eqn_2 0.007045 s: nat.sqrt_aux_2 0.000113 s: nat.mul_ne_zero 0.000142 s: nat.le_sub_right_of_add_le 0.002134 s: nat.le_sub_left_of_add_le 0.002268 s: nat.lt_add_of_sub_lt_left 0.000924 s: nat.sub_lt_left_iff_lt_add 0.001536 s: nat.sub_lt_right_iff_lt_add 0.000037 s: nat.distrib 0.000035 s: nat.semigroup 0.000133 s: nat.mul_div_cancel_left 0.000226 s: nat.sqrt_aux._match_1.equations._eqn_1 0.006664 s: nat.sqrt_aux_1 0.000183 s: nat.sub_eq_of_eq_add 0.002305 s: linear_ordered_comm_monoid_with_zero.zero 0.002326 s: linear_ordered_comm_monoid_with_zero.zero_mul 0.001984 s: linear_ordered_comm_monoid_with_zero.mul_zero 0.000396 s: linear_ordered_comm_monoid_with_zero.to_comm_monoid_with_zero 0.000125 s: nat.comm_cancel_monoid_with_zero._proof_1 0.000053 s: nat.comm_cancel_monoid_with_zero._proof_2 0.000045 s: nat.comm_cancel_monoid_with_zero._proof_3 0.000275 s: nat.comm_cancel_monoid_with_zero._proof_4 0.000250 s: nat.comm_cancel_monoid_with_zero._proof_5 0.000114 s: nat.comm_cancel_monoid_with_zero._proof_6 0.000063 s: nat.comm_cancel_monoid_with_zero._proof_7 0.000047 s: nat.comm_cancel_monoid_with_zero._proof_8 0.002995 s: nat.comm_cancel_monoid_with_zero._proof_9 0.002417 s: nat.comm_cancel_monoid_with_zero._proof_10 0.001046 s: nat.comm_cancel_monoid_with_zero 0.014569 s: _private.3486962995.sqrt_aux_is_sqrt_lemma 0.000091 s: nat.zero_shiftr 0.004716 s: nat.sqrt_aux_0 0.000564 s: nat.shiftr._main.equations._eqn_2 0.000074 s: nat.shiftr.equations._eqn_2 0.000139 s: nat.shiftr._main.equations._eqn_1 0.000023 s: nat.shiftr.equations._eqn_1 0.000779 s: nat.mul_div_right 0.017704 s: _private.2920353739.sqrt_aux_is_sqrt 0.008984 s: _private.232589461.sqrt_is_sqrt 0.000067 s: nat.sqrt_le 0.000288 s: le_imp_le_of_lt_imp_lt 0.002417 s: nat.lt_of_sub_lt_sub_right 0.000125 s: nat.add_lt_of_lt_sub_right 0.001517 s: nat.add_lt_of_lt_sub_left 0.002549 s: nat.sub_le_left_of_le_add 0.000811 s: nat.lt_succ_sqrt 0.001695 s: nat.sqrt_le_add 0.003959 s: nat.mkpair_unpair 0.003562 s: nat.le_mul_self 0.019389 s: nat.le_mkpair_right 0.000218 s: nat.unpair_le_right 0.000421 s: encodable.decode_list._main._pack 0.000081 s: encodable.decode_list._main 0.000027 s: encodable.decode_list 0.000371 s: encodable.encode_list._main.equations._eqn_1 0.000099 s: encodable.encode_list.equations._eqn_1 0.003681 s: encodable.decode_list._main._pack.equations._eqn_1 0.000161 s: encodable.decode_list._main.equations._eqn_1 0.000118 s: encodable.decode_list.equations._eqn_1 0.000131 s: nat.unpair.equations._eqn_1 0.003895 s: nat.mul_self_le_mul_self 0.003989 s: nat.mul_self_lt_mul_self 0.002283 s: nat.mul_self_le_mul_self_iff 0.000499 s: nat.mul_self_lt_mul_self_iff 0.001845 s: nat.le_sqrt 0.000433 s: nat.sqrt_lt 0.002459 s: nat.sqrt_add_eq 0.009099 s: nat.unpair_mkpair 0.000353 s: encodable.encode_list._main.equations._eqn_2 0.000195 s: encodable.encode_list.equations._eqn_2 0.003043 s: encodable.decode_list._main._pack.equations._eqn_2 0.000199 s: encodable.decode_list._main.equations._eqn_2 0.000201 s: encodable.decode_list.equations._eqn_2 0.001135 s: encodable.decode_list._match_1.equations._eqn_1 0.000159 s: option.map_eq_map 0.000225 s: option.seq_some 0.002527 s: encodable.list._proof_1 0.000078 s: encodable.list 0.000226 s: is_antisymm 0.000174 s: list.split._match_1 0.000340 s: list.split._main 0.000022 s: list.split 0.000212 s: prod.mk.inj_arrow 0.000575 s: list.split._main.equations._eqn_2 0.000091 s: list.split.equations._eqn_2 0.000389 s: list.split_cons_of_eq 0.003297 s: list.length_split_le 0.002242 s: list.length_split_lt 0.000318 s: list.sizeof._main 0.000034 s: list.sizeof 0.000040 s: list.has_sizeof 0.000016 s: default.sizeof._main 0.000013 s: default.sizeof 0.000019 s: default_has_sizeof 0.000468 s: list.sizeof._main.equations._eqn_2 0.000178 s: list.sizeof.equations._eqn_2 0.000118 s: default.sizeof._main.equations._eqn_1 0.000095 s: default.sizeof.equations._eqn_1 0.001747 s: lt_add_iff_pos_left 0.007960 s: merge._main._pack._wf_rec_mk_dec_tactic._aux_1 0.006582 s: merge._main._pack._wf_rec_mk_dec_tactic._aux_2 0.001162 s: list.merge._main._pack 0.000076 s: list.merge._main 0.000038 s: list.merge 0.000942 s: list.merge_sort._main._pack 0.000062 s: list.merge_sort._main 0.000058 s: list.merge_sort 0.000021 s: list.sorted 0.000074 s: is_antisymm.antisymm 0.000100 s: antisymm 0.000456 s: list.length_singleton 0.005853 s: list.eq_of_perm_of_sorted 0.000065 s: list.merge_sort._main._pack._proof_1 0.002603 s: list.merge_sort._main._pack.equations._eqn_3 0.000787 s: list.merge_sort._main.equations._eqn_3 0.000622 s: list.merge_sort.equations._eqn_3 0.003315 s: list.merge_sort_cons_cons 0.001629 s: list.merge._main._pack.equations._eqn_2 0.000166 s: list.merge._main.equations._eqn_2 0.000078 s: list.merge.equations._eqn_2 0.001274 s: list.merge._main._pack.equations._eqn_3 0.000106 s: list.merge._main.equations._eqn_3 0.000082 s: list.merge.equations._eqn_3 0.001314 s: list.merge._main._pack.equations._eqn_4 0.000209 s: list.merge._main.equations._eqn_4 0.000163 s: list.merge.equations._eqn_4 0.012259 s: list.perm_merge 0.003226 s: list.perm_split 0.004455 s: list.perm_merge_sort 0.000083 s: list.sorted_nil 0.000053 s: list.sorted_singleton 0.000145 s: list.sorted_cons 0.000115 s: list.pairwise_of_pairwise_cons 0.000154 s: list.sorted_of_sorted_cons 0.000142 s: or.left_comm 0.000091 s: list.rel_of_sorted_cons 0.017030 s: list.sorted.merge 0.003889 s: list.sorted_merge_sort 0.000557 s: multiset.sort._proof_1 0.000218 s: multiset.sort 0.000055 s: _private.3583951997.enle 0.000274 s: _private.3583951997.enle.equations._eqn_1 0.000380 s: _private.4174719113.decidable_enle._proof_1 0.000105 s: _private.4174719113.decidable_enle 0.000179 s: is_partial_order 0.000074 s: is_partial_order.to_is_preorder 0.000236 s: is_linear_order 0.000056 s: is_linear_order.to_is_partial_order 0.000816 s: rel_embedding 0.000079 s: is_preorder.to_is_refl 0.000070 s: is_refl.refl 0.000249 s: rel_embedding.to_embedding 0.000182 s: rel_embedding.has_coe_to_fun 0.000536 s: rel_embedding.map_rel_iff' 0.000584 s: rel_embedding.map_rel_iff 0.000080 s: refl 0.000222 s: rel_embedding.is_refl 0.000311 s: rel_embedding.cases_on 0.000180 s: is_trans.dcases_on 0.000662 s: rel_embedding.is_trans 0.000167 s: rel_embedding.is_preorder 0.000212 s: is_antisymm.dcases_on 0.000416 s: rel_embedding.is_antisymm 0.000082 s: is_partial_order.to_is_antisymm 0.000238 s: rel_embedding.is_partial_order 0.000114 s: is_total.dcases_on 0.000375 s: rel_embedding.is_total 0.000048 s: is_linear_order.to_is_total 0.000278 s: rel_embedding.is_linear_order 0.000478 s: encodable.encode_injective 0.000101 s: rel_embedding.preimage._proof_1 0.000213 s: rel_embedding.preimage 0.000075 s: has_le.le.is_refl 0.000117 s: has_le.le.is_antisymm 0.000152 s: has_le.le.is_linear_order 0.000485 s: _private.1946976957.enle.is_linear_order 0.000068 s: encodable.encode_multiset._proof_1 0.000067 s: encodable.encode_multiset._proof_2 0.000061 s: encodable.encode_multiset._proof_3 0.000124 s: encodable.encode_multiset 0.000095 s: encodable.decode_multiset 0.000149 s: encodable.encode_multiset.equations._eqn_1 0.000114 s: encodable.decode_multiset.equations._eqn_1 0.001978 s: multiset.sort_eq 0.000867 s: encodable.multiset._proof_1 0.000057 s: encodable.multiset 0.000063 s: multiset.nodup_decidable._proof_1 0.000240 s: list.decidable_pairwise 0.000101 s: list.nodup_decidable 0.000183 s: multiset.nodup_decidable 0.000132 s: encodable.decidable_eq_of_encodable._main 0.000021 s: encodable.decidable_eq_of_encodable 0.000091 s: encodable.finset._match_1 0.000085 s: encodable.finset._match_2 0.000252 s: encodable.finset._match_3 0.000059 s: encodable.finset._proof_1 0.000501 s: encodable.finset._match_4 0.000111 s: encodable.finset._proof_2 0.000539 s: encodable.finset 0.005479 s: set.countable_set_of_finite_subset 0.000489 s: filter.is_countably_generated.countable_generating_set 0.000293 s: filter.is_countably_generated.countable_filter_basis._proof_3 0.000688 s: filter.is_countably_generated.countable_filter_basis 0.000178 s: filter.countable_filter_basis.to_filter_basis 0.000313 s: filter.countable_filter_basis.countable 0.000110 s: filter_basis.has_mem 0.001861 s: filter_basis.filter._match_1 0.000325 s: filter_basis.filter._proof_1 0.001256 s: filter_basis.filter._match_2 0.000355 s: filter_basis.filter._proof_2 0.000907 s: filter_basis.filter._match_3 0.000911 s: filter_basis.filter._match_4 0.000993 s: filter_basis.filter._match_5 0.000469 s: filter_basis.filter._proof_3 0.000517 s: filter_basis.filter 0.000331 s: filter.is_countably_generated.eq_generate 0.000529 s: filter_basis.mem_filter_iff 0.000692 s: filter_basis.mem_filter_of_mem 0.003012 s: filter_basis.generate 0.000735 s: filter.is_basis 0.000347 s: filter.is_basis.filter_basis._match_1 0.000214 s: filter.is_basis.nonempty 0.000109 s: filter.is_basis.filter_basis._proof_1 0.000212 s: filter.is_basis.inter 0.001917 s: filter.is_basis.filter_basis._proof_2 0.000294 s: filter.is_basis.filter_basis 0.000136 s: filter.is_basis.filter 0.002243 s: filter.has_basis.is_basis 0.000769 s: filter.generate_sets.drec 0.000278 s: unique 0.000161 s: fintype.of_subsingleton._proof_1 0.000061 s: fintype.of_subsingleton 0.000075 s: unique.to_inhabited 0.000021 s: unique.inhabited 0.000128 s: subsingleton_of_forall_eq 0.000173 s: unique.uniq 0.000062 s: unique.eq_default 0.000074 s: unique.subsingleton 0.000047 s: unique.fintype 0.000960 s: set.unique_singleton._match_1 0.000687 s: set.unique_singleton._proof_1 0.000384 s: set.unique_singleton 0.000221 s: set.fintype_singleton 0.000199 s: set.finite_singleton 0.000186 s: set.sInter_singleton 0.000187 s: set.univ.equations._eqn_1 0.009864 s: multiset.mem_attach 0.001899 s: finset.mem_attach 0.000158 s: finset.subtype.fintype 0.003062 s: set.finite.induction_on 0.000974 s: set.insert_subset 0.005243 s: filter.mem_generate_iff 0.001447 s: filter.has_basis_generate 0.000430 s: filter.is_basis.mem_filter_basis_iff 0.001910 s: filter.is_basis.mem_filter_iff 0.000942 s: filter.has_basis.filter_eq 0.001246 s: filter.generate_eq_generate_inter 0.000548 s: filter.of_sets_filter_eq_generate 0.000598 s: filter.is_countably_generated.filter_basis_filter 0.000036 s: false_of_true_eq_false 0.000142 s: filter_basis.nonempty_sets 0.004382 s: filter_basis.eq_infi_principal 0.168033 s: filter.is_countably_generated.exists_countable_infi_principal 0.006334 s: infi_false 0.002401 s: infi_top 0.003074 s: infi_emptyset 0.000535 s: is_glb_cInf 0.000308 s: is_glb.cInf_eq 0.000224 s: is_least.nonempty 0.000260 s: is_least.cInf_eq 0.000159 s: cInf_singleton 0.000521 s: cinfi_const 0.000087 s: option.iget._main 0.000020 s: option.iget 0.000293 s: option.iget_some 0.001833 s: set.countable_iff_exists_surjective_to_subtype 0.002811 s: filter.countable_binfi_eq_infi_seq 0.001811 s: filter.countable_binfi_eq_infi_seq' 0.000948 s: filter.countable_binfi_principal_eq_seq_infi 0.000713 s: filter.is_countably_generated.exists_seq 0.000046 s: Exists.some 0.000197 s: filter.has_basis.index._proof_1 0.000307 s: Exists.some_spec 0.000409 s: filter.has_basis.index._proof_2 0.000324 s: filter.has_basis.index 0.000401 s: subtype.prop 0.000232 s: subtype.coe_prop 0.000700 s: filter.has_basis.property_index 0.000422 s: filter.has_basis.set_index_mem 0.001565 s: monotone_of_monotone_nat 0.001020 s: filter.has_basis.set_index_subset 0.195315 s: filter.is_countably_generated.exists_antimono_subbasis 0.001965 s: filter.is_countably_generated.exists_antimono_basis 0.000770 s: set.bInter_mono' 0.000782 s: set.Iic_subset_Iic 0.002823 s: infi_neg 0.000931 s: set.Inter_neg 0.000781 s: set.Inter_univ 0.014665 s: set.bInter_union 0.001885 s: set.bInter_singleton 0.001252 s: set.bInter_insert 0.000324 s: filter.inter_mem_sets_iff 0.002054 s: filter.bInter_mem_sets 0.000132 s: set.fintype_le_nat._proof_1 0.000568 s: set.fintype_le_nat._proof_2 0.000475 s: set.fintype_lt_nat._proof_1 0.000091 s: set.fintype_lt_nat 0.000099 s: set.fintype_le_nat 0.000101 s: set.finite_le_nat 0.158555 s: filter.antimono_seq_of_seq 0.000058 s: encodable.nat._proof_1 0.000134 s: encodable.nat 0.003088 s: filter.is_basis.filter_eq_generate 0.000399 s: filter.has_basis.eq_generate 0.002564 s: filter.is_countably_generated_seq 0.000520 s: filter.is_countably_generated_iff_exists_antimono_basis 0.001666 s: filter.is_countably_generated.exists_antimono_seq' 0.000846 s: filter.has_basis.le_basis_iff 0.000334 s: set.mem_prod_eq 0.002313 s: filter.has_basis.cauchy_iff 0.002098 s: cauchy_iff 0.000472 s: sequentially_complete.set_seq_aux._proof_1 0.000328 s: sequentially_complete.set_seq_aux 0.000287 s: sequentially_complete.set_seq 0.000101 s: filter.ne_bot.nonempty_of_mem 0.001480 s: sequentially_complete.set_seq_mem 0.000353 s: sequentially_complete.seq._proof_1 0.000224 s: sequentially_complete.seq 0.000391 s: prod_mk_mem_comp_rel 0.001665 s: le_nhds_of_cauchy_adhp_aux 0.001329 s: set.bInter_subset_of_mem 0.001040 s: sequentially_complete.set_seq_sub_aux 0.000318 s: set.bInter_subset_bInter_left 0.001514 s: sequentially_complete.set_seq_mono 0.001365 s: sequentially_complete.set_seq_prod_subset 0.000627 s: sequentially_complete.seq_mem 0.004434 s: sequentially_complete.le_nhds_of_seq_tendsto_nhds 0.000956 s: sequentially_complete.seq_pair_mem 0.001506 s: uniform_space.complete_of_convergent_controlled_sequences 0.000091 s: prod.map 0.000483 s: cauchy_map_iff' 0.000198 s: prod.map_fst 0.000205 s: prod.map_snd 0.000510 s: prod.map_def 0.001113 s: cauchy_seq_iff_tendsto 0.004714 s: cauchy_seq_of_controlled 0.002764 s: uniform_space.complete_of_cauchy_seq_tendsto 0.000582 s: filter.is_countably_generated_of_seq 0.000288 s: ennreal.has_inv 0.005917 s: emetric.mk_uniformity_basis 0.007252 s: ennreal.top_mul 0.033633 s: ennreal.inv_top 0.000134 s: function.bijective 0.000198 s: function.involutive.surjective 0.000337 s: function.involutive.bijective 0.002125 s: ennreal.top_ne_coe 0.001425 s: ennreal.top_ne_zero 0.004913 s: ennreal.coe_eq_zero 0.023037 s: ennreal.inv_zero 0.006143 s: with_top.coe_le_iff 0.021856 s: ennreal.coe_le_iff 0.008683 s: le_of_mul_le_mul_left 0.000871 s: mul_le_mul_left 0.012514 s: nnreal.inv_le 0.002378 s: ennreal.coe_one 0.038748 s: ennreal.coe_mul 0.044298 s: ennreal.coe_inv 0.008166 s: ennreal.inv_inv 0.000056 s: ennreal.inv_involutive 0.000080 s: ennreal.inv_bijective 0.000417 s: ennreal.inv_eq_inv 0.000207 s: ennreal.inv_eq_zero 0.000609 s: ennreal.inv_ne_zero 0.021852 s: ennreal.inv_pos 0.000295 s: with_top.coe_one 0.004769 s: with_top.coe_nat 0.000478 s: with_top.nat_ne_top 0.007172 s: ennreal.nat_ne_top 0.028246 s: ennreal.not_lt_zero 0.000055 s: or.symm 0.000158 s: has_le.le.lt_or_eq 0.000203 s: eq_or_lt_of_le 0.000284 s: ennreal.inv_eq_top 0.034584 s: inv_lt_inv 0.041484 s: ennreal.inv_lt_inv 0.000297 s: monoid_hom.to_fun 0.000133 s: monoid_hom.has_coe_to_fun 0.000302 s: monoid_hom.map_one' 0.000398 s: monoid_hom.map_one 0.000480 s: monoid_hom.map_mul' 0.000445 s: monoid_hom.map_mul 0.006181 s: monoid_hom.map_pow 0.000342 s: add_monoid_hom.to_multiplicative._proof_1 0.000281 s: add_monoid_hom.to_multiplicative._proof_2 0.005920 s: add_monoid_hom.to_multiplicative._proof_3 0.000638 s: monoid_hom.cases_on 0.001284 s: monoid_hom.coe_inj 0.000270 s: monoid_hom.ext 0.005035 s: add_monoid_hom.to_multiplicative._proof_4 0.003895 s: add_monoid_hom.to_multiplicative 0.004868 s: add_monoid_hom.map_nsmul 0.001636 s: nnreal.coe_one 0.000277 s: nnreal.coe_mul 0.004515 s: nnreal.to_real_hom 0.006957 s: nnreal.nsmul_coe 0.046257 s: nnreal.archimedean._match_1 0.015199 s: nnreal.archimedean 0.006869 s: ennreal.coe_nat 0.000504 s: ennreal.coe_lt_coe_nat 0.010152 s: ennreal.exists_nat_gt 0.000991 s: ennreal.inv_ne_top 0.000894 s: ennreal.exists_inv_nat_lt 0.000814 s: uniformity_basis_edist_inv_nat 0.000480 s: emetric.uniformity_has_countable_basis 0.000238 s: emetric.complete_of_cauchy_seq_tendsto 0.000386 s: metric.complete_of_cauchy_seq_tendsto 0.000254 s: prod.map.equations._eqn_1 0.002550 s: filter.has_basis.cauchy_seq_iff 0.002868 s: symm_of_uniformity 0.003890 s: comp_symm_of_uniformity 0.003026 s: filter.has_basis.cauchy_seq_iff' 0.001478 s: metric.cauchy_seq_iff' 0.001255 s: cau_seq.is_complete 0.000492 s: cau_seq.is_complete.is_complete 0.000275 s: cau_seq.complete 0.000257 s: cau_seq.lim 0.001633 s: cau_seq.const_neg 0.216217 s: cau_seq.exists_gt 0.089647 s: cau_seq.exists_lt 0.007393 s: sub_right_comm 0.000022 s: real.add_comm_semigroup 1.083590 s: real.cau_seq_converges 0.753634 s: real.abs.cau_seq.is_complete 0.000099 s: metric.ball 0.000898 s: nhds_basis_uniformity 0.000731 s: metric.nhds_basis_ball 0.000344 s: metric.mem_nhds_iff 0.000852 s: cau_seq.equiv_lim 0.942549 s: real.complete_space 0.000190 s: has_sum.summable 0.002753 s: inv_pow' 0.000785 s: norm_num.sub_pos 0.000509 s: norm_num.add_pos_neg_pos 0.028501 s: norm_num.clear_denom_add 0.000307 s: bit0_pos 0.000213 s: zero_lt_one' 0.020152 s: norm_num.clear_denom_div 0.000206 s: norm_num.one_succ 0.009834 s: norm_num.inv_one_div 0.000438 s: has_continuous_mul 0.000324 s: topological_semiring 0.000137 s: add_monoid_hom.mul_left._proof_1 0.000090 s: add_monoid_hom.mul_left._proof_2 0.002178 s: add_monoid_hom.mul_left 0.000168 s: finset.sum_eq_multiset_sum 0.000047 s: list.sum 0.006128 s: multiset.sum_eq_foldl 0.000891 s: multiset.coe_sum 0.000110 s: list.sum.equations._eqn_1 0.001886 s: list.foldl_map 0.001161 s: list.foldl_hom 0.001269 s: list.sum_hom 0.001514 s: multiset.sum_hom 0.000420 s: add_monoid_hom.map_multiset_sum 0.002291 s: add_monoid_hom.map_sum 0.001770 s: has_sum.map 0.000909 s: continuous.comp 0.000261 s: has_continuous_mul.continuous_mul 0.000202 s: continuous_mul 0.000533 s: continuous.mul 0.000162 s: topological_semiring.to_has_continuous_mul 0.000185 s: continuous_at_const 0.000151 s: continuous_const 0.000277 s: continuous_id 0.001573 s: has_sum.mul_left 0.000625 s: topological_ring 0.000204 s: topological_ring.to_has_continuous_add 0.000106 s: topological_ring.to_has_continuous_mul 0.001135 s: topological_ring.to_topological_semiring 0.001850 s: lt_sub_iff_add_lt 0.002687 s: neg_add_lt_iff_lt_add_right 0.000461 s: neg_lt_sub_iff_lt_add 0.022082 s: abs_sub_lt_iff 0.000361 s: sub_lt 0.000404 s: set.set_of_and 0.000239 s: set.mem_Ioi 0.000117 s: set.Ioi.equations._eqn_1 0.000083 s: sub_sub_cancel 0.000179 s: set.Iio.equations._eqn_1 0.244739 s: nhds_eq_infi_abs_sub 0.010134 s: linear_ordered_add_comm_group.tendsto_nhds 0.000530 s: set.nonempty.fst 0.000392 s: set.nonempty.snd 0.000789 s: set.nonempty.prod 0.000230 s: set.prod_nonempty_iff 0.001188 s: set.prod_eq_empty_iff 0.001169 s: set.fst_image_prod_subset 0.000994 s: set.fst_image_prod 0.000219 s: set.mem_image_eq 0.000056 s: eq_false_of_not_eq_true 0.000068 s: or_eq_of_eq_false_right 0.000048 s: not_eq_of_eq_true 0.000023 s: auto.classical.implies_iff_not_or 0.000067 s: auto.not_exists_eq 0.000037 s: auto.not_and_eq 0.001524 s: set.image_subset 0.000628 s: set.snd_image_prod_subset 0.000545 s: set.snd_image_prod 0.001817 s: set.prod_subset_prod_iff 0.001488 s: filter.prod_mem_prod_iff 0.000675 s: prod_mem_nhds_iff 0.000440 s: prod_mem_nhds_sets 0.001475 s: eventually_abs_sub_lt 0.001862 s: add_sub_comm 0.000177 s: has_le.le.le_iff_eq 0.000280 s: abs_nonpos_iff 0.000226 s: filter.eventually.mp 0.000131 s: filter.eventually_of_forall 0.000138 s: filter.eventually.mono 0.037371 s: linear_ordered_add_comm_group.topological_add_group 0.007235 s: order_topology_of_nhds_abs 0.000245 s: metric.ball.equations._eqn_1 0.057201 s: real.order_topology 0.058787 s: real.topological_add_group 0.000074 s: subtype.uniform_space 0.000170 s: subtype.topological_space 0.000447 s: filter.range_mem_map 0.019666 s: filter.map_comap 0.007733 s: filter.map_comap_of_mem 0.001156 s: map_nhds_induced_of_mem 0.001782 s: map_nhds_subtype_coe_eq 0.000690 s: filter.tendsto_map' 0.001772 s: tendsto_of_uniform_continuous_subtype 1.033202 s: real.uniform_continuous_mul 0.004063 s: is_open.prod 0.000171 s: continuous_within_at 0.003589 s: continuous_on 0.000081 s: closure 0.000071 s: frontier 0.000138 s: continuous_at.equations._eqn_1 0.000298 s: continuous_on.equations._eqn_1 0.000106 s: continuous_within_at.equations._eqn_1 0.003170 s: nhds_within_univ 0.001326 s: continuous_iff_continuous_on_univ 0.001904 s: filter.tendsto.if 0.001579 s: filter.tendsto.piecewise 0.001307 s: nhds_within_inter' 0.000713 s: filter.tendsto.piecewise_nhds_within 0.000106 s: set.inter_univ 0.004038 s: set.inter_union_distrib_left 0.000345 s: is_greatest.is_lub 0.000246 s: is_lub_singleton 0.000551 s: is_lub.insert 0.000186 s: is_lub_pair 0.000975 s: galois_connection.l_sup 0.013547 s: filter.map_sup 0.012234 s: filter.tendsto_sup 0.002401 s: continuous_within_at_union 0.000283 s: continuous_within_at.union 0.000082 s: filter.eventually_eq 0.000215 s: filter.ext' 0.000783 s: filter.eventually_map 0.000236 s: filter.eventually.congr 0.001124 s: filter.eventually_congr 0.000668 s: filter.map_congr 0.000618 s: continuous_within_at.congr_of_eventually_eq 0.000142 s: self_mem_nhds_within 0.000513 s: continuous_within_at.congr 0.000032 s: filter.frequently 0.000139 s: filter.frequently.equations._eqn_1 0.000313 s: mem_interior_iff_mem_nhds 0.000132 s: closure.equations._eqn_1 0.000313 s: set.sInter_image 0.001498 s: set.compl_sUnion 0.000170 s: set.compl_image 0.000220 s: set.compl_image_set_of 0.000953 s: closure_eq_compl_interior_compl 0.001547 s: mem_closure_iff_frequently 0.000167 s: cluster_pt_principal_iff 0.000144 s: filter.frequently.exists 0.000223 s: filter.frequently.and_eventually 0.000067 s: and_not_self 0.000451 s: filter.frequently_iff_forall_eventually_exists_and 0.000974 s: filter.frequently_iff 0.000941 s: cluster_pt_principal_iff_frequently 0.000181 s: mem_closure_iff_cluster_pt 0.000190 s: mem_closure_iff_nhds_within_ne_bot 0.006508 s: filter.tendsto_bot 0.001197 s: continuous_within_at_of_not_mem_closure 0.002329 s: set.subset_sInter 0.000385 s: subset_closure 0.000135 s: compl_injective 0.000077 s: compl_inj_iff 0.000631 s: closure_compl 0.000512 s: monotone.map_inf_le 0.001272 s: set.sInter_subset_of_mem 0.000261 s: closure_minimal 0.000355 s: set.sUnion_eq_compl_sInter_compl 0.000874 s: set.image_comp 0.000988 s: set.compl_comp_compl 0.000076 s: auto.not_forall_eq 0.000077 s: auto.not_or_eq 0.000042 s: auto.not_not_eq 0.004208 s: set.image_congr 0.000722 s: set.image_id 0.000677 s: set.compl_compl_image 0.000358 s: set.compl_sInter 0.000801 s: is_closed_sInter 0.000279 s: is_closed_closure 0.000170 s: closure_mono 0.001714 s: monotone_closure 0.009930 s: closure_inter_subset_inter_closure 0.000255 s: set.piecewise_eq_of_not_mem 0.004833 s: continuous_on.piecewise' 0.001814 s: continuous_on.if' 0.000291 s: if_t_t 0.015280 s: nhds_within_mono 0.000298 s: tendsto_nhds_within_mono_left 0.001448 s: set.mem_compl_iff 0.000314 s: continuous_on.mono 0.006137 s: continuous_on.if 0.000074 s: set.univ_inter 0.001442 s: continuous_if 0.000105 s: frontier.equations._eqn_1 0.001307 s: set.diff_eq 0.000487 s: frontier_eq_closure_inter_closure 0.000112 s: is_closed.closure_eq 0.000395 s: closure_le_eq 0.000913 s: closure_lt_subset_le 0.005399 s: frontier_le_subset_eq 0.003155 s: continuous_if_le 0.000199 s: continuous.continuous_on 0.001312 s: continuous.if_le 0.004459 s: continuous.min 0.000201 s: is_closed.preimage 0.000536 s: continuous_swap 0.000836 s: order_dual.order_closed_topology 0.008595 s: continuous.max 0.000442 s: continuous_abs 0.026802 s: real.continuous_mul 0.002322 s: real.topological_ring 0.000153 s: real.topological_semiring 0.000189 s: geom_sum 0.003021 s: pi.can_lift._proof_1 0.000277 s: pi.can_lift 0.000627 s: nnreal.can_lift._proof_1 0.000097 s: nnreal.can_lift 0.001917 s: ring_hom.map_sum 0.007613 s: nnreal.coe_sum 0.000089 s: filter.eventually_le 0.000142 s: is_closed.closure_subset 0.000140 s: filter.frequently.mem_closure 0.000226 s: filter.frequently.mem_of_closed 0.001122 s: filter.tendsto.eventually 0.000182 s: filter.tendsto.frequently 0.000295 s: is_closed.mem_of_frequently_of_tendsto 0.000272 s: filter.compl_not_mem_sets 0.001334 s: filter.eventually.frequently 0.000261 s: is_closed.mem_of_tendsto 0.001355 s: le_of_tendsto_of_tendsto 0.000245 s: ge_of_tendsto 0.000285 s: ge_of_tendsto' 0.000473 s: nhds_subtype_eq_comap 0.001092 s: tendsto_subtype_rng 0.001888 s: nnreal.tendsto_coe 0.002463 s: nnreal.tendsto_coe' 0.000328 s: inducing 0.000423 s: embedding 0.000110 s: inducing.induced 0.000120 s: embedding.to_inducing 0.001108 s: embedding.tendsto_nhds_iff 0.000500 s: le_generate_from_iff_subset_is_open 0.000296 s: le_generate_from 0.000045 s: set.Icc 0.000477 s: set.ord_connected 0.000051 s: subtype.preorder 0.000135 s: set.ord_connected.out' 0.000103 s: set.ord_connected.out 0.343615 s: order_topology_of_ord_connected 0.000622 s: set.ord_connected_Ici 0.016079 s: nnreal.order_topology 0.006416 s: is_open_lt 0.000259 s: is_open_Ioi 0.000228 s: is_open_Iio 0.027862 s: ennreal.embedding_coe 0.000409 s: ennreal.tendsto_coe 0.000135 s: ennreal.of_nnreal_hom._proof_1 0.000148 s: ennreal.of_nnreal_hom._proof_2 0.013429 s: ennreal.of_nnreal_hom 0.030780 s: ennreal.coe_finset_sum 0.005515 s: ennreal.has_sum_coe 0.000849 s: filter.mem_at_top 0.001981 s: filter.tendsto_at_top_at_top_of_monotone 0.000180 s: monotone.tendsto_at_top_at_top 0.002327 s: list.length_range' 0.004154 s: list.range'_append 0.000583 s: list.range'_sublist_right 0.001349 s: list.range'_subset_right 0.000386 s: list.range_subset 0.001275 s: multiset.range_subset 0.001081 s: finset.range_subset 0.000677 s: finset.range_mono 0.000101 s: finset.exists_nat_subset_range 0.000255 s: filter.tendsto_finset_range 0.000302 s: has_sum.tendsto_sum_nat 0.002818 s: tendsto_order 0.000077 s: push_neg.not_exists_eq 0.010732 s: exists_lt_of_lt_cSup 0.000457 s: set.range_nonempty_iff_nonempty 0.000123 s: set.range_nonempty 0.001750 s: exists_lt_of_lt_csupr 0.000315 s: le_csupr 0.000643 s: filter.tendsto_of_not_nonempty 0.010300 s: tendsto_at_top_csupr 0.000468 s: order_top.bdd_above 0.042797 s: tendsto_at_top_supr 0.003128 s: supr_eq_of_tendsto 0.000593 s: finset.sum_le_sum_of_subset 0.024240 s: ennreal.has_sum 0.000258 s: ennreal.tsum_eq_supr_sum 0.002835 s: supr_le_supr2 0.000316 s: supr_comp_le 0.001386 s: monotone.supr_comp_eq 0.000607 s: finset.sum_mono_set 0.023020 s: ennreal.tsum_eq_supr_sum' 0.000289 s: ennreal.tsum_eq_supr_nat 0.000254 s: ennreal.summable 0.024578 s: ennreal.has_sum_iff_tendsto_nat 0.005101 s: nnreal.has_sum_iff_tendsto_nat 0.031400 s: has_sum_iff_tendsto_nat_of_nonneg 0.007881 s: pow_nonneg 0.000134 s: geom_sum₂ 0.002149 s: geom_sum₂_with_one 0.000597 s: finset.range_zero 0.000085 s: multiset.range.equations._eqn_1 0.002113 s: list.range'_concat 0.003481 s: list.range_succ 0.000685 s: multiset.coe_add 0.001971 s: multiset.range_succ 0.000633 s: finset.range_succ 0.000794 s: finset.sum_range_succ_comm 0.000631 s: semiconj_by.add_right 0.000187 s: commute.add_right 0.000439 s: is_add_hom 0.000581 s: is_add_monoid_hom 0.000157 s: is_add_monoid_hom.map_zero 0.000121 s: add_monoid_hom.of._proof_1 0.000122 s: is_add_hom.map_add 0.000126 s: is_add_monoid_hom.to_is_add_hom 0.000175 s: add_monoid_hom.of._proof_2 0.000208 s: add_monoid_hom.of 0.000599 s: finset.sum_hom 0.002247 s: is_add_monoid_hom.is_add_monoid_hom_mul_left 0.000689 s: finset.mul_sum 0.010207 s: commute.geom_sum₂_mul_add 0.001873 s: semiconj_by.neg_left 0.002082 s: semiconj_by.sub_left 0.000161 s: commute.sub_left 0.005141 s: commute.geom_sum₂_mul 0.000127 s: commute.one_right 0.004130 s: geom_sum_mul 0.011821 s: geom_sum_eq 0.003690 s: one_div_mul_one_div_rev 0.000770 s: eq_inv_of_mul_right_eq_one 0.001557 s: eq_one_div_of_mul_eq_one 0.010036 s: one_div_neg_one_eq_neg_one 0.011646 s: one_div_neg_eq_neg_one_div 0.001535 s: mul_one_div 0.002734 s: div_neg_eq_neg_div 0.000431 s: neg_inv 0.000729 s: tendsto_mul 0.000888 s: filter.tendsto.mul 0.001517 s: semi_normed_ring 0.000202 s: semi_normed_ring.to_pseudo_metric_space 0.000197 s: semi_normed_ring.to_ring 0.000286 s: semi_normed_ring.to_has_norm 0.000195 s: semi_normed_ring.to_semi_normed_group._proof_1 0.000097 s: semi_normed_ring.to_semi_normed_group._proof_2 0.000130 s: semi_normed_ring.to_semi_normed_group._proof_3 0.000385 s: semi_normed_ring.to_semi_normed_group._proof_4 0.000298 s: semi_normed_ring.to_semi_normed_group._proof_5 0.000671 s: semi_normed_ring.to_semi_normed_group._proof_6 0.000682 s: semi_normed_ring.to_semi_normed_group._proof_7 0.000108 s: semi_normed_ring.to_semi_normed_group._proof_8 0.000856 s: semi_normed_ring.dist_eq 0.001663 s: semi_normed_ring.to_semi_normed_group 0.000786 s: metric.mem_ball 0.001612 s: real.dist_0_eq_abs 0.004027 s: abs_dist 0.002273 s: metric.uniformity_eq_comap_nhds_zero 0.001212 s: nhds_comap_dist 0.000606 s: tendsto_iff_dist_tendsto_zero 0.001422 s: tendsto_iff_norm_tendsto_zero 0.002116 s: tendsto_of_tendsto_of_tendsto_of_le_of_le' 0.000623 s: squeeze_zero' 0.000189 s: squeeze_zero 0.000914 s: norm_add_le 0.004553 s: norm_add_le_of_le 0.000594 s: semi_normed_ring.norm_mul 0.000128 s: norm_mul_le 0.000445 s: norm_zero 0.000220 s: lipschitz_with 0.006208 s: emetric.uniform_continuous_iff 0.000082 s: ennreal.div_inv_monoid._proof_1 0.000095 s: ennreal.div_inv_monoid._proof_2 0.000050 s: ennreal.div_inv_monoid._proof_3 0.000788 s: ennreal.div_inv_monoid._proof_4 0.000215 s: ennreal.div_inv_monoid._proof_5 0.000089 s: ennreal.div_inv_monoid._proof_6 0.002599 s: ennreal.div_inv_monoid 0.004291 s: canonically_ordered_semiring.mul_pos 0.002088 s: ennreal.coe_ne_top 0.000467 s: lipschitz_with.edist_le_mul 0.009482 s: ennreal.zero_div 0.002947 s: ennreal.div_top 0.001031 s: ite_eq_left_iff 0.006830 s: ennreal.mul_top 0.037067 s: ennreal.mul_le_mul_left 0.000374 s: with_top.top_mul_top 0.009047 s: with_top.mul_eq_top_iff 0.039900 s: ennreal.mul_eq_top 0.010694 s: ennreal.div_eq_top 0.001487 s: ennreal.zero_ne_top 0.036722 s: ennreal.le_div_iff_mul_le 0.009234 s: ennreal.div_le_iff_le_mul 0.022619 s: ennreal.div_le_of_le_mul 0.007987 s: ennreal.mul_lt_of_lt_div 0.024885 s: lipschitz_with.uniform_continuous 0.024564 s: ennreal.max_zero_right 0.003589 s: prod.pseudo_emetric_space_max._proof_1 0.000715 s: prod.pseudo_emetric_space_max._proof_2 0.024318 s: prod.pseudo_emetric_space_max._proof_3 0.164388 s: prod.pseudo_emetric_space_max._proof_4 0.012152 s: prod.pseudo_emetric_space_max 0.000091 s: nndist 0.000224 s: nndist.equations._eqn_1 0.002541 s: ennreal.coe_nnreal_eq 0.000434 s: ennreal.of_real_eq_coe_nnreal 0.000454 s: edist_nndist 0.000566 s: dist_add_right 0.000470 s: dist_add_left 0.000563 s: dist_add_add_le 0.001686 s: nndist_add_add_le 0.000809 s: edist_add_add_le 0.023508 s: lipschitz_with.add 0.003994 s: norm_sub_rev 0.001119 s: dist_neg_neg 0.001474 s: lipschitz_with.neg 0.001443 s: lipschitz_with.sub 0.002528 s: lipschitz_with.of_edist_le 0.004096 s: lipschitz_with.prod_fst 0.004197 s: lipschitz_with.prod_snd 0.001034 s: normed_uniform_group 0.000264 s: normed_top_monoid 0.001650 s: sub_le_iff_le_add' 0.014323 s: abs_sub_le_iff 0.003070 s: sub_le_iff_le_add 0.000203 s: dist_triangle_left 0.143258 s: abs_dist_sub_le 0.083499 s: uniform_continuous_dist 0.000643 s: continuous_dist 0.008872 s: filter.tendsto.dist 0.003256 s: tendsto_norm 0.000407 s: filter.tendsto.norm 0.000481 s: has_continuous_sub 0.000225 s: has_continuous_sub.continuous_sub 0.000708 s: filter.tendsto.sub 0.000340 s: continuous_add 0.000487 s: continuous.add 0.000862 s: continuous.neg 0.000726 s: topological_add_group.to_has_continuous_sub 0.000156 s: normed_top_group 0.065710 s: semi_normed_ring_top_monoid 0.000489 s: semi_normed_comm_ring 0.000151 s: semi_normed_comm_ring.to_semi_normed_ring 0.008442 s: normed_ring 0.000355 s: normed_ring.to_ring 0.000467 s: normed_comm_ring 0.000258 s: normed_ring.to_has_norm 0.000158 s: normed_comm_ring.to_normed_ring 0.000162 s: normed_ring.to_metric_space 0.002142 s: normed_ring.dist_eq 0.000159 s: normed_comm_ring.to_semi_normed_comm_ring._proof_1 0.000619 s: normed_ring.norm_mul 0.000138 s: normed_comm_ring.to_semi_normed_comm_ring._proof_2 0.000483 s: normed_comm_ring.mul_comm 0.000622 s: normed_comm_ring.to_semi_normed_comm_ring 0.000368 s: normed_field.to_field 0.000147 s: normed_field.to_normed_comm_ring._proof_1 0.000109 s: normed_field.to_normed_comm_ring._proof_2 0.000110 s: normed_field.to_normed_comm_ring._proof_3 0.000448 s: normed_field.to_normed_comm_ring._proof_4 0.000235 s: normed_field.to_normed_comm_ring._proof_5 0.000383 s: normed_field.to_normed_comm_ring._proof_6 0.000421 s: normed_field.to_normed_comm_ring._proof_7 0.000119 s: normed_field.to_normed_comm_ring._proof_8 0.000077 s: normed_field.to_normed_comm_ring._proof_9 0.000094 s: normed_field.to_normed_comm_ring._proof_10 0.000075 s: normed_field.to_normed_comm_ring._proof_11 0.000215 s: normed_field.to_normed_comm_ring._proof_12 0.000174 s: normed_field.to_normed_comm_ring._proof_13 0.000093 s: normed_field.to_normed_comm_ring._proof_14 0.000104 s: normed_field.to_normed_comm_ring._proof_15 0.000215 s: normed_field.to_metric_space 0.000611 s: normed_field.dist_eq 0.000382 s: normed_field.norm_mul' 0.000107 s: normed_field.norm_mul 0.000139 s: normed_field.to_normed_comm_ring._proof_16 0.000131 s: normed_field.to_normed_comm_ring._proof_17 0.031014 s: normed_field.to_normed_comm_ring 0.000128 s: has_le.le.eq_or_lt 0.166418 s: filter.map_at_top_eq_of_gc 0.002712 s: le_iff_le_iff_lt_iff_lt 0.000957 s: nat.le_sub_left_iff_add_le 0.002187 s: nat.le_sub_right_iff_add_le 0.007966 s: filter.map_add_at_top_eq_nat 0.000797 s: filter.tendsto_add_at_top_iff_nat 0.000549 s: filter.tendsto_congr' 0.000387 s: filter.tendsto_congr 0.000200 s: filter.tendsto.congr 0.000169 s: filter.tendsto.mono_right 0.000086 s: set.Ioo 0.000079 s: list.tfae 0.000310 s: list.nth._main 0.000082 s: list.nth 0.001520 s: list.nth_le._main 0.000036 s: list.nth_le 0.003138 s: list.nth_le_mem 0.003159 s: list.nth_le_nth 0.001867 s: list.nth_len_le 0.001080 s: list.nth_eq_some 0.000338 s: list.nth_mem 0.000186 s: list.tfae.out 0.000093 s: list.tfae_of_forall 0.000012 s: implies 0.000027 s: implies.trans 0.000316 s: nhds_within_has_basis 0.000210 s: nhds_within_basis_open 0.000842 s: mem_nhds_within 0.000547 s: set.Ioi_inter_Iio 0.000485 s: set.Ioo_subset_Ioo 0.000109 s: set.Ioo_subset_Ioo_left 0.001525 s: Ioo_mem_nhds_within_Ioi 0.000348 s: mem_nhds_within_iff_exists_mem_nhds_inter 0.000209 s: set.Ioc_subset_Ioi_self 0.009040 s: nhds_within_restrict'' 0.000198 s: nhds_within_restrict' 0.000168 s: nhds_within_restrict 0.002411 s: nhds_within_le_of_mem 0.000658 s: set.Ioo_subset_Ioc_self 0.000433 s: Ioc_mem_nhds_within_Ioi 0.000157 s: set.mem_Ico 0.000756 s: set.left_mem_Ico 0.000654 s: nhds_within_Ioc_eq_nhds_within_Ioi 0.000587 s: set.Ioo_subset_Ioi_self 0.000420 s: nhds_within_Ioo_eq_nhds_within_Ioi 0.005259 s: tfae_mem_nhds_within_Ioi 0.001684 s: mem_nhds_within_Ioi_iff_exists_Ioo_subset' 0.000577 s: mem_nhds_within_Ioi_iff_exists_Ioo_subset 0.002011 s: mem_nhds_within_Ioi_iff_exists_Ioc_subset 0.033283 s: tendsto_inv_at_top_zero' 0.012496 s: tendsto_inv_at_top_zero 0.000085 s: bdd_above.equations._eqn_1 0.002108 s: not_bdd_above_iff' 0.003288 s: not_bdd_above_iff 0.001447 s: filter.tendsto_at_top_at_top_of_monotone' 0.001753 s: le_mul_of_one_le_left 0.004434 s: pow_mono 0.001040 s: pow_le_pow 0.001942 s: lt_one_add 0.000059 s: bit0.equations._eqn_1 0.000730 s: commute.left_comm 0.022028 s: one_add_mul_le_pow' 0.011181 s: zero_le_two 0.017303 s: add_one_pow_unbounded_of_pos 0.015087 s: tendsto_add_one_pow_at_top_at_top_of_pos 0.155131 s: tendsto_pow_at_top_at_top_of_one_lt 0.048074 s: lt_inv 0.121376 s: one_lt_inv 0.074923 s: tendsto_pow_at_top_nhds_0_of_lt_1 0.659184 s: has_sum_geometric_of_lt_1 0.061446 s: one_half_pos 0.005101 s: lt_mul_of_one_lt_right 0.000295 s: one_add_one_eq_two 0.005883 s: one_lt_two 0.060590 s: div_two_lt_of_pos 0.000431 s: half_lt_self 0.065214 s: one_half_lt_one 0.128122 s: has_sum_geometric_two' 0.000103 s: option.cases_on'._main 0.000032 s: option.cases_on' 0.000387 s: le_of_tendsto_of_tendsto' 0.020157 s: has_sum_le 0.000115 s: function.is_partial_inv_left 0.000183 s: function.partial_inv_left 0.000317 s: option.cases_on'._main.equations._eqn_2 0.000100 s: option.cases_on'.equations._eqn_2 0.000088 s: option.cases_on'._main.equations._eqn_1 0.000116 s: option.cases_on'.equations._eqn_1 0.000080 s: function.support 0.000737 s: subtype.range_coe_subtype 0.000490 s: function.support_subset_iff' 0.002252 s: has_sum_subtype_iff_of_support_subset 0.000592 s: has_sum_subtype_support 0.000120 s: set.eq_univ_of_forall 0.000487 s: equiv.range_eq_univ 0.001680 s: equiv.has_sum_iff 0.002641 s: equiv.has_sum_iff_of_support 0.000083 s: equiv.of_left_inverse._proof_1 0.000124 s: nonempty_of_exists 0.000389 s: equiv.of_left_inverse._proof_2 0.000084 s: equiv.of_left_inverse._proof_3 0.002117 s: equiv.of_left_inverse._match_1 0.001016 s: equiv.of_left_inverse._proof_4 0.000848 s: equiv.of_left_inverse 0.000106 s: equiv.of_injective._proof_1 0.000177 s: equiv.of_injective 0.000141 s: equiv.of_bijective._proof_1 0.000569 s: equiv.subtype_equiv._proof_1 0.000899 s: equiv.subtype_equiv._proof_2 0.000378 s: subtype.ext_val 0.003590 s: equiv.subtype_equiv._match_1 0.001414 s: equiv.subtype_equiv._proof_3 0.004973 s: equiv.subtype_equiv._match_2 0.001629 s: equiv.subtype_equiv._proof_4 0.001306 s: equiv.subtype_equiv 0.000379 s: equiv.subtype_equiv_prop._proof_1 0.000198 s: equiv.subtype_equiv_prop 0.000307 s: equiv.set_congr 0.000159 s: set.range_iff_surjective 0.000074 s: function.surjective.range_eq 0.000095 s: equiv.of_bijective._proof_2 0.001150 s: equiv.set.univ._match_1 0.000563 s: equiv.set.univ._proof_1 0.000419 s: equiv.set.univ._proof_2 0.000766 s: equiv.set.univ 0.000442 s: equiv.of_bijective 0.004891 s: has_sum_iff_has_sum_of_ne_zero_bij 0.000209 s: function.mem_support 0.005317 s: has_sum_le_inj 0.095090 s: pos_sum_of_encodable._proof_1 0.010683 s: pos_sum_of_encodable 0.030497 s: nnreal.has_sum_coe 0.034513 s: nnreal.exists_pos_sum_of_encodable 0.000460 s: ennreal.tsum_coe_eq 0.009936 s: ennreal.exists_pos_sum_of_encodable 0.000832 s: multiset.map_zero 0.003621 s: multiset.fold_distrib 0.001033 s: finset.fold_op_distrib 0.001494 s: finset.sum_add_distrib 0.001418 s: has_sum.add 0.000691 s: tsum_add 0.219839 s: nhds_top_order 0.005869 s: tendsto_nhds_top_mono 0.001203 s: tendsto_nhds_top_mono' 0.000664 s: le_add_right 0.000565 s: le_add_left 0.000718 s: open_embedding 0.000548 s: inducing.map_nhds_of_mem 0.000504 s: embedding.map_nhds_of_mem 0.000178 s: open_embedding.to_embedding 0.000189 s: open_embedding.open_range 0.000474 s: open_embedding.map_nhds_eq 0.000122 s: is_open_map 0.000577 s: is_open_map.is_open_range 0.000216 s: open_embedding_of_embedding_open 0.004495 s: induced_compose 0.094615 s: induced_inf 0.017211 s: inducing.prod_mk 0.000127 s: embedding.inj 0.001650 s: embedding.prod_mk 0.001251 s: filter.le_map 0.001091 s: is_open_map.image_mem_nhds 0.000416 s: is_open_map.nhds_le 0.000118 s: imp_congr_right 0.000743 s: is_open_iff_mem_nhds 0.001300 s: is_open_map.of_nhds_le 0.000358 s: is_open_map_iff_nhds_le 0.001758 s: is_open_map.prod 0.000104 s: eq.ge 0.000328 s: inducing.is_open_map 0.000158 s: open_embedding.is_open_map 0.000547 s: open_embedding.prod 0.000158 s: is_open_compl_singleton 0.001157 s: is_open_ne 0.000144 s: ennreal.is_open_ne_top 0.001230 s: ennreal.open_embedding_coe 0.000371 s: ennreal.nhds_coe_coe 0.000114 s: topological_semiring.to_has_continuous_add 0.000489 s: continuous_subtype_mk 0.000222 s: continuous_subtype_val 0.010781 s: nnreal.topological_semiring 0.054425 s: ennreal.has_continuous_add 0.001946 s: ennreal.tsum_add 0.000445 s: upper_bounds_mono_mem 0.000675 s: is_lub.upper_bounds_eq 0.000307 s: is_lub_le_iff 0.000205 s: mem_upper_bounds 0.012198 s: lt_is_lub_iff 0.004597 s: is_glb_lt_iff 0.000581 s: complete_linear_order.to_linear_order 0.009490 s: Inf_lt_iff 0.000533 s: infi_lt_iff 0.004312 s: with_top.add_lt_add_iff_left 0.044829 s: ennreal.add_lt_add_iff_left 0.010488 s: ennreal.lt_add_right 0.000514 s: filter.eventually_at_top 0.006035 s: sum_le_has_sum 0.001677 s: le_has_sum 0.000535 s: le_tsum 0.000325 s: le_tsum' 0.021300 s: ennreal.le_tsum 0.000244 s: sigma 0.005815 s: filter.mem_sets_of_eq_bot 0.000626 s: compl_le_of_compl_le 0.000198 s: compl_le_iff_compl_le 0.004802 s: set.compl_subset_comm 0.002927 s: nhds_is_closed 0.001460 s: closed_nhds_basis 0.000114 s: sigma.cases_on 0.000125 s: sigma.no_confusion_type 0.000347 s: sigma.no_confusion 0.000717 s: sigma.decidable_eq._match_2 0.000510 s: sigma.decidable_eq._match_1 0.000252 s: sigma.decidable_eq._main 0.000067 s: sigma.decidable_eq 0.000054 s: sigma.fst 0.000359 s: sigma_mk_injective 0.000061 s: multiset.join 0.000049 s: multiset.bind 0.000136 s: multiset.sigma 0.000143 s: quot.exists_rep 0.000162 s: quotient.exists_rep 0.000155 s: list.sigma 0.000164 s: multiset.sigma.equations._eqn_1 0.000158 s: list.sigma.equations._eqn_1 0.005883 s: multiset.coe_join 0.001358 s: multiset.coe_bind 0.001813 s: multiset.coe_sigma 0.000047 s: list.disjoint 0.000086 s: or_and_distrib_right 0.002320 s: list.mem_join 0.002431 s: list.pairwise_join 0.000093 s: list.disjoint_left 0.001334 s: list.nodup_join 0.001495 s: list.nodup_bind 0.000245 s: sigma.mk.inj 0.000175 s: sigma.mk.inj_arrow 0.002489 s: list.nodup_sigma 0.002637 s: multiset.nodup_sigma 0.000231 s: finset.sigma._proof_1 0.000198 s: finset.sigma 0.000143 s: sigma.snd 0.000097 s: multiset.bind.equations._eqn_1 0.001168 s: multiset.join_zero 0.000223 s: multiset.sum_cons 0.000715 s: multiset.join_cons 0.002560 s: multiset.mem_join 0.000876 s: exists_exists_and_eq_and 0.001319 s: multiset.mem_bind 0.000059 s: heq_of_eq 0.001279 s: sigma.mk.inj_eq 0.001190 s: sigma.mk.inj_iff 0.000134 s: heq_iff_eq 0.003247 s: multiset.mem_sigma 0.002868 s: finset.mem_sigma 0.000284 s: sigma.eta 0.002255 s: finset.sigma_preimage_mk 0.000169 s: function.embedding.sigma_mk 0.000089 s: finset.bUnion 0.000428 s: finset.bUnion_val 0.001648 s: finset.mem_bUnion 0.000599 s: function.embedding.sigma_mk_apply 0.003799 s: finset.sigma_eq_bUnion 0.003116 s: finset.bUnion_empty 0.001837 s: finset.bUnion_insert 0.001645 s: disjoint_bot_left 0.000621 s: finset.disjoint_empty_left 0.000638 s: finset.forall_mem_empty_iff 0.000992 s: finset.disjoint_union_left 0.000921 s: finset.forall_mem_insert 0.001750 s: finset.disjoint_bUnion_left 0.000585 s: finset.disjoint_bUnion_right 0.003408 s: finset.sum_bUnion 0.000113 s: finset.sum.equations._eqn_1 0.000266 s: finset.map_val 0.000866 s: finset.sum_map 0.010662 s: finset.sum_sigma 0.001062 s: list.sum_nil 0.002728 s: list.sum_cons 0.002668 s: tendsto_list_sum 0.002457 s: tendsto_multiset_sum 0.000616 s: tendsto_finset_sum 0.001064 s: supr_range 0.002642 s: filter.infi_eq_generate 0.001378 s: set.fintype_range._proof_1 0.000276 s: set.fintype_range 0.000221 s: set.finite_range 0.000311 s: set.bUnion_range 0.004034 s: set.finite_subset_Union 0.004206 s: set.eq_finite_Union_of_finite_subset_Union 0.000580 s: set.sInter_eq_bInter 0.000554 s: filter.sInter_mem_sets 0.001014 s: set.mem_sInter 0.000816 s: set.sInter_Union 0.005193 s: filter.mem_infi_iff 0.160672 s: filter.at_top_finset_eq_infi 0.002903 s: filter.tendsto_at_top_finset_of_monotone 0.000110 s: monotone.tendsto_at_top_finset 0.001278 s: finset.monotone_preimage 0.001494 s: finset.mem_singleton_self 0.001229 s: filter.tendsto_finset_preimage_at_top_at_top 0.022252 s: has_sum.sigma 0.000502 s: equiv.sigma_equiv_prod._match_1 0.000223 s: equiv.sigma_equiv_prod._proof_1 0.000351 s: equiv.sigma_equiv_prod._match_2 0.000243 s: equiv.sigma_equiv_prod._proof_2 0.000279 s: equiv.sigma_equiv_prod 0.004537 s: has_sum.prod_fiberwise 0.000852 s: tsum_prod' 0.002268 s: ennreal.tsum_prod 0.000211 s: equiv.nat_prod_nat_equiv_nat._proof_1 0.000131 s: equiv.nat_prod_nat_equiv_nat 0.000891 s: equiv.summable_iff_of_has_sum_iff 0.002880 s: equiv.tsum_eq_tsum_of_has_sum_iff_has_sum 0.002049 s: tsum_eq_tsum_of_has_sum_iff_has_sum 0.000955 s: equiv.tsum_eq 0.003034 s: set.Union_subset 0.000124 s: equiv.nat_prod_nat_equiv_nat.equations._eqn_1 0.000332 s: equiv.coe_fn_mk 0.000414 s: equiv.coe_fn_symm_mk 0.000862 s: set.subset_Union 0.000450 s: tsum_le_tsum 0.022401 s: ennreal.tsum_le_tsum 0.041435 s: measure_theory.outer_measure.of_function._proof_3 0.011436 s: measure_theory.outer_measure.of_function 0.000154 s: measure_theory.extend 0.000093 s: measure_theory.extend.equations._eqn_1 0.001659 s: measure_theory.extend_eq 0.000226 s: measure_theory.extend_empty 0.000216 s: measure_theory.induced_outer_measure._proof_1 0.000191 s: measure_theory.induced_outer_measure 0.000048 s: measure_theory.outer_measure.has_coe_to_fun 0.000427 s: measurable_space.measurable_set_empty 0.000079 s: measurable_set.empty 0.000463 s: measure_theory.outer_measure.empty 0.000240 s: measure_theory.outer_measure.trim 0.000988 s: measure_theory.measure 0.000253 s: measure_theory.measure.to_outer_measure 0.000122 s: measure_theory.measure.has_coe_to_fun 0.000746 s: mul_action 0.000162 s: mul_action.to_has_scalar 0.000899 s: distrib_mul_action 0.000249 s: distrib_mul_action.to_mul_action 0.001332 s: semimodule 0.000737 s: smul_with_zero 0.000216 s: smul_with_zero.to_has_scalar 0.000891 s: mul_action_with_zero 0.000307 s: mul_action_with_zero.to_mul_action 0.000411 s: mul_action_with_zero.smul_zero 0.000369 s: mul_action_with_zero.zero_smul 0.000233 s: mul_action_with_zero.to_smul_with_zero 0.000439 s: semimodule.to_distrib_mul_action 0.000300 s: mul_action.one_smul 0.000228 s: semimodule.to_mul_action_with_zero._proof_1 0.000281 s: mul_action.mul_smul 0.000210 s: semimodule.to_mul_action_with_zero._proof_2 0.000416 s: distrib_mul_action.smul_zero 0.000142 s: smul_zero 0.000179 s: semimodule.to_mul_action_with_zero._proof_3 0.000663 s: semimodule.zero_smul 0.000897 s: semimodule.to_mul_action_with_zero 0.002117 s: linear_map 0.000188 s: measure_theory.outer_measure.empty' 0.002958 s: measure_theory.outer_measure.has_add._proof_1 0.000372 s: measure_theory.outer_measure.mono 0.022382 s: measure_theory.outer_measure.has_add._proof_2 0.003415 s: measure_theory.outer_measure.Union_nat 0.020989 s: measure_theory.outer_measure.has_add._proof_3 0.023638 s: measure_theory.outer_measure.has_add 0.000516 s: measure_theory.measure.trimmed 0.000824 s: measure_theory.measure_eq_trim 0.000768 s: measure_theory.measure_eq_induced_outer_measure 0.000205 s: encodable.decode2 0.009088 s: supr_comm 0.000258 s: encodable.decode2.equations._eqn_1 0.001440 s: option.guard_eq_some 0.001704 s: encodable.mem_decode2' 0.000281 s: encodable.mem_decode2 0.000979 s: infi_infi_eq_right 0.002197 s: supr_supr_eq_right 0.001298 s: encodable.supr_decode2 0.000312 s: encodable.Union_decode2 0.000369 s: measurable_space.measurable_set_Union 0.004131 s: supr_neg 0.001484 s: set.Union_neg 0.002494 s: supr_bot 0.000732 s: set.Union_empty 0.003134 s: encodable.Union_decode2_cases 0.000282 s: measurable_set.bUnion_decode2 0.000582 s: measurable_set.Union 0.000928 s: filter.singleton_mem_pure_sets 0.000746 s: filter.le_pure_iff 0.000167 s: filter.eventually_ge_at_top 0.164116 s: filter.order_top.at_top_eq 0.005351 s: filter.tendsto_pure 0.000510 s: filter.tendsto_pure_pure 0.000358 s: filter.tendsto_at_top_pure 0.000546 s: order_top.tendsto_at_top_nhds 0.000060 s: finset.order_top._proof_1 0.000078 s: finset.order_top._proof_2 0.000204 s: finset.order_top._proof_3 0.000328 s: finset.order_top._proof_4 0.000213 s: finset.subset_univ 0.000845 s: finset.order_top 0.001950 s: has_sum_fintype 0.000658 s: finset_coe.fintype 0.001849 s: finset.has_sum 0.001672 s: has_sum_sum_of_ne_finset_zero 0.000818 s: has_sum_single 0.000355 s: tsum_eq_single 0.000480 s: nat.rec_zero 0.011329 s: measure_theory.outer_measure.of_function_le 0.007534 s: measure_theory.outer_measure.of_function_eq 0.003351 s: set.union_diff_cancel 0.002342 s: tsum_eq_tsum_of_ne_zero_bij 0.004184 s: supr_false 0.001455 s: option.get_mem 0.000174 s: encodable.encodek2 0.000634 s: option.get_of_mem 0.010707 s: tsum_supr_decode2 0.003062 s: tsum_Union_decode2 0.000602 s: option.ext 0.000915 s: measure_theory.extend_Union_nat 0.001847 s: set.bot_eq_empty 0.012684 s: encodable.Union_decode2_disjoint_on 0.004536 s: measure_theory.extend_Union 0.000313 s: sum 0.000029 s: unit 0.000157 s: sum.cases_on 0.000112 s: encodable.encode_sum._main 0.000067 s: encodable.encode_sum 0.000200 s: encodable.decode_sum._match_1 0.000046 s: encodable.decode_sum 0.000275 s: encodable.encode_sum._main.equations._eqn_1 0.000111 s: encodable.encode_sum.equations._eqn_1 0.000186 s: encodable.decode_sum.equations._eqn_1 0.000536 s: nat.bodd_div2_eq 0.001735 s: nat.bodd_bit 0.000163 s: nat.bodd_bit0 0.000114 s: nat.div2_bit0 0.000549 s: encodable.decode_sum._match_1.equations._eqn_1 0.000120 s: sum.no_confusion_type 0.000329 s: sum.no_confusion 0.000138 s: sum.inl.inj 0.000155 s: sum.inl.inj_eq 0.000263 s: encodable.encode_sum._main.equations._eqn_2 0.000112 s: encodable.encode_sum.equations._eqn_2 0.000167 s: nat.bodd_bit1 0.000386 s: nat.div2_bit1 0.000633 s: encodable.decode_sum._match_1.equations._eqn_2 0.000230 s: sum.inr.inj 0.000197 s: sum.inr.inj_eq 0.002309 s: encodable.sum._proof_1 0.000184 s: encodable.sum 0.000047 s: punit.cases_on 0.000079 s: iff_eq_of_eq_true_right 0.000107 s: eq_iff_true_of_subsingleton 0.000023 s: punit.rec_on 0.000056 s: punit_eq 0.000025 s: punit.subsingleton 0.000243 s: encodable.unit._match_1 0.000080 s: encodable.unit._proof_1 0.000111 s: encodable.unit 0.000145 s: sum.rec_on 0.000208 s: equiv.bool_equiv_punit_sum_punit._proof_1 0.000336 s: equiv.bool_equiv_punit_sum_punit._proof_2 0.000272 s: equiv.bool_equiv_punit_sum_punit 0.000068 s: encodable.bool 0.000131 s: function.on_fun.equations._eqn_1 0.000064 s: pairwise.equations._eqn_1 0.002045 s: pairwise_on_bool 0.000129 s: pairwise_disjoint_on_bool 0.000697 s: bool.fintype._proof_1 0.000165 s: finset.mk_zero 0.000390 s: finset.mk_cons 0.000547 s: is_lawful_singleton 0.000244 s: is_lawful_singleton.insert_emptyc_eq 0.000879 s: finset.is_lawful_singleton 0.003327 s: bool.fintype._proof_2 0.000079 s: bool.fintype 0.000239 s: tsum_fintype 0.002540 s: fintype.univ_bool 0.003602 s: measure_theory.extend_union 0.010482 s: generalized_boolean_algebra.inf_inf_sdiff 0.000406 s: inf_inf_sdiff 0.002945 s: sdiff_le 0.001386 s: inf_sdiff_right 0.011636 s: sdiff_inf_sdiff 0.012044 s: inf_sdiff_self_right 0.003271 s: set.inter_diff_self 0.002520 s: set.disjoint_diff 0.000188 s: decidable.and_iff_not_or_not 0.000030 s: and_iff_not_or_not 0.001827 s: set.inter_eq_compl_compl_union_compl 0.000280 s: measurable_space.measurable_set_compl 0.000105 s: measurable_set.compl 0.001499 s: measurable_set.union 0.000227 s: measurable_set.inter 0.001868 s: measurable_set.diff 0.027820 s: measure_theory.extend_mono 0.009750 s: measure_theory.extend_Union_le_tsum_nat' 0.000111 s: set.disjointed 0.000237 s: supr_le_supr 0.003300 s: set.Union_subset_Union 0.001271 s: set.mem_bUnion 0.001383 s: set.mem_bInter 0.004407 s: set.subset_Union_disjointed 0.000392 s: set.bUnion_subset_Union 0.000921 s: set.Union_disjointed 0.000166 s: set.disjointed.equations._eqn_1 0.001768 s: nat.lt_succ_iff_lt_or_eq 0.001205 s: set.Inter_lt_succ 0.002083 s: set.disjointed_induct 0.000118 s: measurable_set.disjointed 0.000099 s: or.drec 0.009561 s: set.disjoint_disjointed 0.006647 s: measure_theory.extend_Union_le_tsum_nat 0.001598 s: measure_theory.induced_outer_measure_eq_extend 0.000925 s: measure_theory.measure.m_Union 0.001397 s: measure_theory.measure_eq_extend 0.001602 s: measure_theory.measure_Union 0.000851 s: measure_theory.measure.has_add._proof_1 0.000511 s: measure_theory.outer_measure.cases_on 0.001580 s: measure_theory.outer_measure.coe_fn_injective 0.000183 s: measure_theory.outer_measure.ext 0.000107 s: fin.has_zero 0.000079 s: nat.succ_lt_succ 0.000095 s: fin.succ._main 0.000015 s: fin.succ 0.000060 s: order_embedding 0.000053 s: fin.le 0.000021 s: fin.has_le 0.000399 s: rel_embedding.of_map_rel_iff._proof_1 0.000436 s: rel_embedding.of_map_rel_iff 0.000284 s: order_embedding.of_map_rel_iff 0.002148 s: order_embedding.of_strict_mono._proof_1 0.001398 s: order_embedding.of_strict_mono 0.000051 s: fin.lt 0.000050 s: fin.has_lt 0.000079 s: fin.fin_to_nat 0.000817 s: fin.linear_order._proof_1 0.000667 s: fin.linear_order._proof_2 0.000898 s: fin.linear_order._proof_3 0.001401 s: fin.linear_order._proof_4 0.001236 s: fin.linear_order._proof_5 0.000197 s: fin.decidable_le 0.000431 s: fin.veq_of_eq 0.000091 s: fin.decidable_eq._proof_1 0.000082 s: fin.decidable_eq 0.000155 s: fin.decidable_lt 0.003992 s: fin.linear_order 0.000073 s: fin.cast_lt 0.001376 s: fin.cast_le._proof_1 0.000082 s: fin.cast_le._proof_2 0.002248 s: fin.cast_le 0.000052 s: fin.cast_add 0.000037 s: fin.cast_succ 0.000694 s: fin.mk_zero 0.000450 s: fin.induction._proof_1 0.000100 s: nat.lt_of_succ_lt 0.000058 s: fin.induction._proof_2 0.001915 s: fin.induction 0.000591 s: fin.cases 0.000344 s: fin.cons 0.000417 s: matrix.vec_cons 0.000127 s: fin.elim0._main 0.000024 s: fin.elim0 0.000050 s: fin_zero_elim 0.000062 s: matrix.vec_empty 0.000465 s: measure_theory.outer_measure.mono' 0.006733 s: measure_theory.extend_mono' 0.001190 s: measure_theory.induced_outer_measure_eq_extend' 0.000920 s: measure_theory.induced_outer_measure_eq' 0.009030 s: measure_theory.induced_outer_measure_eq_infi 0.003017 s: measure_theory.outer_measure.trim_eq_infi 0.007097 s: is_compl_bot_top 0.000212 s: compl_bot 0.003528 s: set.compl_empty 0.000222 s: measurable_set.univ 0.004625 s: Inf_eq_top 0.000401 s: infi_eq_top 0.000178 s: measurable_set.of_compl 0.000086 s: measurable_set.compl_iff 0.001101 s: set.compl_Inter 0.000407 s: measurable_set.Inter 0.000251 s: ennreal.lt_inv_iff_lt_inv 0.000436 s: gt_mem_nhds 0.000217 s: ennreal.inv_lt_iff_inv_lt 0.000329 s: lt_mem_nhds 0.009263 s: ennreal.continuous_inv 0.001430 s: ennreal.tendsto_inv_iff 0.010025 s: ennreal.nhds_top 0.001299 s: supr_congr 0.000457 s: infi_congr 0.000928 s: ennreal.ne_top_equiv_nnreal._match_1 0.000249 s: ennreal.ne_top_equiv_nnreal._proof_1 0.000054 s: ennreal.ne_top_equiv_nnreal._proof_2 0.000411 s: ennreal.ne_top_equiv_nnreal 0.000964 s: ennreal.cinfi_ne_top 0.001577 s: ennreal.infi_ne_top 0.000200 s: ennreal.nhds_top' 0.001270 s: ennreal.tendsto_nhds_top_iff_nnreal 0.011718 s: ennreal.tendsto_nhds_top_iff_nat 0.001066 s: ennreal.tendsto_nhds_top 0.000859 s: ennreal.coe_nat_lt_coe 0.007933 s: ennreal.coe_nat_lt_coe_nat 0.006568 s: ennreal.tendsto_nat_nhds_top 0.000331 s: ennreal.tendsto_inv_nat_nhds_zero 0.019523 s: measure_theory.outer_measure.exists_measurable_superset_eq_trim 0.000122 s: has_le.le.trans_eq 0.002907 s: measure_theory.outer_measure.trim_eq 0.007449 s: measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim 0.000072 s: equiv.fin_equiv_subtype._proof_1 0.000038 s: equiv.fin_equiv_subtype._proof_2 0.000271 s: equiv.fin_equiv_subtype._match_1 0.000197 s: equiv.fin_equiv_subtype._proof_3 0.000249 s: equiv.fin_equiv_subtype._match_2 0.000124 s: equiv.fin_equiv_subtype._proof_4 0.000488 s: equiv.fin_equiv_subtype 0.000140 s: encodable.fin 0.000853 s: fin.forall_fin_succ 0.000436 s: matrix.cons_val_zero 0.000324 s: matrix.vec_cons.equations._eqn_1 0.000621 s: fin.cons.equations._eqn_1 0.000423 s: fin.cases_succ 0.001303 s: fin.cons_succ 0.000563 s: matrix.cons_val_succ 0.004007 s: measure_theory.outer_measure.trim_binop 0.000513 s: measure_theory.outer_measure.add_apply 0.000319 s: measure_theory.outer_measure.trim_add 0.000715 s: measure_theory.measure.has_add._proof_2 0.000857 s: measure_theory.measure.has_add 0.000072 s: measure_theory.outer_measure.has_zero._proof_1 0.000149 s: measure_theory.outer_measure.has_zero._proof_2 0.000126 s: measure_theory.outer_measure.has_zero._proof_3 0.020400 s: measure_theory.outer_measure.has_zero 0.000255 s: measure_theory.measure.has_zero._proof_1 0.030858 s: measure_theory.outer_measure.trim_zero 0.001824 s: measure_theory.measure.has_zero 0.003985 s: pi.add_comm_monoid._proof_1 0.001023 s: pi.add_comm_monoid._proof_2 0.001334 s: pi.add_comm_monoid._proof_3 0.003832 s: pi.add_comm_monoid._proof_4 0.003716 s: pi.add_comm_monoid._proof_5 0.003022 s: pi.add_comm_monoid._proof_6 0.001101 s: pi.add_comm_monoid 0.005519 s: measure_theory.outer_measure.add_comm_monoid._proof_1 0.005144 s: measure_theory.outer_measure.add_comm_monoid._proof_2 0.004887 s: measure_theory.outer_measure.add_comm_monoid._proof_3 0.000109 s: measure_theory.outer_measure.add_comm_monoid._proof_4 0.000097 s: measure_theory.outer_measure.add_comm_monoid._proof_5 0.005415 s: measure_theory.outer_measure.add_comm_monoid._proof_6 0.005877 s: measure_theory.outer_measure.add_comm_monoid._proof_7 0.007987 s: measure_theory.outer_measure.add_comm_monoid._proof_8 0.006116 s: measure_theory.outer_measure.add_comm_monoid 0.000768 s: measure_theory.measure.cases_on 0.001489 s: measure_theory.measure.to_outer_measure_injective 0.000133 s: measure_theory.measure.zero_to_outer_measure 0.000302 s: measure_theory.measure.add_to_outer_measure 0.000695 s: measure_theory.measure.add_comm_monoid 0.000116 s: one_smul 0.000367 s: function.injective.mul_action._proof_1 0.000880 s: function.injective.mul_action._proof_2 0.000449 s: function.injective.mul_action 0.000808 s: function.injective.distrib_mul_action._proof_1 0.000805 s: function.injective.distrib_mul_action._proof_2 0.000600 s: distrib_mul_action.smul_add 0.000188 s: smul_add 0.002079 s: function.injective.distrib_mul_action._proof_3 0.001749 s: function.injective.distrib_mul_action._proof_4 0.001764 s: function.injective.distrib_mul_action 0.001758 s: function.injective.semimodule._proof_1 0.001455 s: function.injective.semimodule._proof_2 0.001548 s: function.injective.semimodule._proof_3 0.001522 s: function.injective.semimodule._proof_4 0.001223 s: semimodule.add_smul 0.000843 s: add_smul 0.005523 s: function.injective.semimodule._proof_5 0.000371 s: smul_with_zero.zero_smul 0.000186 s: zero_smul 0.004493 s: function.injective.semimodule._proof_6 0.004202 s: function.injective.semimodule 0.002991 s: measure_theory.outer_measure.has_scalar._proof_1 0.005325 s: canonically_ordered_semiring.mul_le_mul 0.019228 s: ennreal.mul_le_mul 0.000697 s: ennreal.mul_left_mono 0.000574 s: measure_theory.outer_measure.has_scalar._proof_2 0.005349 s: filter.prod_comm' 0.001777 s: filter.prod_comm 0.000764 s: nhds_swap 0.000864 s: with_top.lt_iff_exists_coe_btwn 0.023022 s: ennreal.lt_iff_exists_nnreal_btwn 0.018138 s: ennreal.mul_lt_mul 0.041047 s: ennreal.tendsto_mul 0.005230 s: ennreal.tendsto.mul 0.002917 s: ennreal.tendsto.const_mul 0.037240 s: ennreal.tsum_mul_left 0.006793 s: rel_supr_tsum 0.006694 s: measure_theory.outer_measure.Union 0.001020 s: measure_theory.outer_measure.has_scalar._proof_3 0.000440 s: measure_theory.outer_measure.has_scalar 0.001333 s: pi.add_monoid._proof_1 0.001194 s: pi.add_monoid._proof_2 0.000804 s: pi.add_monoid._proof_3 0.002718 s: pi.add_monoid._proof_4 0.002962 s: pi.add_monoid._proof_5 0.000898 s: pi.add_monoid 0.000121 s: pi.has_scalar 0.000758 s: pi.mul_action._proof_1 0.000983 s: pi.mul_action._proof_2 0.000433 s: pi.mul_action 0.000456 s: pi.distrib_mul_action._proof_1 0.000422 s: pi.distrib_mul_action._proof_2 0.002639 s: pi.distrib_mul_action._proof_3 0.001577 s: pi.distrib_mul_action._proof_4 0.001033 s: pi.distrib_mul_action 0.000534 s: pi.semimodule._proof_1 0.000565 s: pi.semimodule._proof_2 0.006135 s: pi.semimodule._proof_3 0.007207 s: pi.semimodule._proof_4 0.003426 s: pi.semimodule 0.000087 s: monoid.to_mul_action._proof_1 0.000132 s: monoid.to_mul_action._proof_2 0.001216 s: monoid.to_mul_action 0.000120 s: semiring.to_semimodule._proof_1 0.000110 s: semiring.to_semimodule._proof_2 0.000079 s: semiring.to_semimodule._proof_3 0.000105 s: semiring.to_semimodule._proof_4 0.007100 s: semiring.to_semimodule 0.000742 s: measure_theory.outer_measure.coe_zero 0.000537 s: measure_theory.outer_measure.coe_add 0.000427 s: mul_zero_class.to_smul_with_zero 0.002452 s: measure_theory.outer_measure.coe_smul 0.017579 s: measure_theory.outer_measure.semimodule._proof_1 0.018718 s: measure_theory.outer_measure.semimodule._proof_2 0.023257 s: measure_theory.outer_measure.semimodule._proof_3 0.019785 s: measure_theory.outer_measure.semimodule._proof_4 0.019780 s: measure_theory.outer_measure.semimodule._proof_5 0.021840 s: measure_theory.outer_measure.semimodule._proof_6 0.005761 s: measure_theory.outer_measure.semimodule 0.000188 s: measure_theory.outer_measure.measure_of_eq_coe 0.000553 s: measure_theory.coe_to_outer_measure 0.000429 s: pi.smul_apply 0.001797 s: algebra.id.smul_eq_mul 0.003171 s: measure_theory.measure.has_scalar._proof_1 0.000361 s: measure_theory.outer_measure.trim_op 0.000317 s: measure_theory.outer_measure.smul_apply 0.000317 s: measure_theory.outer_measure.trim_smul 0.000274 s: measure_theory.measure.has_scalar._proof_2 0.000173 s: measure_theory.measure.has_scalar 0.000259 s: measure_theory.measure.smul_to_outer_measure 0.003239 s: measure_theory.measure.semimodule 0.000823 s: linear_map.to_fun 0.000180 s: linear_map.has_coe_to_fun 0.000116 s: measurable_space.partial_order._proof_1 0.000233 s: measurable_space.partial_order._proof_2 0.000150 s: measurable_space.partial_order._proof_3 0.000336 s: measurable_space.cases_on 0.000877 s: measurable_space.ext 0.004003 s: measurable_space.partial_order._proof_4 0.001455 s: measurable_space.partial_order 0.000818 s: measurable_space.dynkin_system 0.000148 s: measurable_space.dynkin_system.has 0.000200 s: measurable_space.dynkin_system.has_empty 0.000207 s: measurable_space.dynkin_system.has_compl 0.000081 s: measurable_space.dynkin_system.to_measurable_space._proof_1 0.000275 s: measurable_space.dynkin_system.has_Union_nat 0.000652 s: measurable_space.dynkin_system.has_Union 0.001625 s: measurable_space.dynkin_system.to_measurable_space._proof_2 0.000147 s: measurable_space.dynkin_system.to_measurable_space 0.000139 s: measure_theory.outer_measure.is_caratheodory 0.000138 s: measure_theory.outer_measure.is_caratheodory.equations._eqn_1 0.002133 s: disjoint.sdiff_eq_left 0.001086 s: disjoint_bot_right 0.000087 s: sdiff_bot 0.001376 s: set.diff_empty 0.000042 s: set.inhabited 0.004379 s: measure_theory.outer_measure.is_caratheodory_empty 0.002995 s: measure_theory.outer_measure.is_caratheodory_compl 0.000075 s: measure_theory.outer_measure.caratheodory_dynkin._proof_1 0.002602 s: set.inter_union_diff 0.006477 s: supr_bool_eq 0.001402 s: fintype.sum_bool 0.002681 s: rel_sup_add 0.006903 s: measure_theory.outer_measure.union 0.000911 s: measure_theory.outer_measure.le_inter_add_diff 0.007162 s: measure_theory.outer_measure.is_caratheodory_iff_le' 0.001282 s: set.inter_Union 0.001446 s: set.Union_lt_succ 0.000113 s: set.union_inter_cancel_left 0.002352 s: le_of_inf_le_sup_le 0.000527 s: eq_of_inf_eq_sup_eq 0.009928 s: sdiff_unique 0.008842 s: inf_sdiff_assoc 0.002714 s: set.inter_diff_assoc 0.004893 s: disjoint.sdiff_eq_of_sup_eq 0.000230 s: disjoint.sup_sdiff_cancel_left 0.004962 s: set.union_diff_cancel_left 0.001326 s: measure_theory.outer_measure.measure_inter_union 0.016012 s: measure_theory.outer_measure.is_caratheodory_sum 0.000137 s: Sup_range 0.000361 s: filter.eventually.filter_mono 0.000213 s: filter.frequently.filter_mono 0.016095 s: pure_le_nhds_within 0.000552 s: mem_of_mem_nhds_within 0.000279 s: filter.eventually.self_of_nhds_within 0.000463 s: set.dual_Ioi 0.000671 s: set.dual_Icc 0.000420 s: set.Ici_inter_Iio 0.000627 s: set.Ico_subset_Ico 0.000175 s: set.Ico_subset_Ico_left 0.003498 s: Ico_mem_nhds_within_Ici 0.000254 s: set.Icc_subset_Ici_self 0.000242 s: set.Ico_subset_Icc_self 0.000245 s: Icc_mem_nhds_within_Ici 0.000610 s: nhds_within_Icc_eq_nhds_within_Ici 0.001791 s: nhds_within_Ico_eq_nhds_within_Ici 0.005111 s: tfae_mem_nhds_within_Ici 0.017386 s: tfae_mem_nhds_within_Iic 0.000444 s: list.nth._main.equations._eqn_2 0.000133 s: list.nth.equations._eqn_2 0.000034 s: auto_param_eq 0.000672 s: list.nth._main.equations._eqn_3 0.000139 s: list.nth.equations._eqn_3 0.006276 s: mem_nhds_within_Iic_iff_exists_Ioc_subset' 0.000937 s: is_lub.exists_between 0.002294 s: is_lub.frequently_mem 0.008080 s: is_lub.frequently_nhds_mem 0.000188 s: is_lub.mem_closure 0.000204 s: is_lub.nhds_within_ne_bot 0.004294 s: is_lub.inter_Ici_of_mem 0.002858 s: is_lub.mem_upper_bounds_of_tendsto 0.000409 s: le_of_tendsto 0.001819 s: is_lub.is_lub_of_tendsto 0.035184 s: ennreal.bsupr_add 0.006052 s: ennreal.Sup_add 0.002108 s: ennreal.supr_add 0.016078 s: sdiff_le_sdiff_self 0.002521 s: set.diff_subset_diff_right 0.000082 s: ge_of_eq 0.002691 s: sup_bot_eq 0.011369 s: sup_sdiff 0.002383 s: sdiff_self 0.002324 s: sup_sdiff_right_self 0.000548 s: sup_sdiff_left_self 0.001602 s: set.union_diff_left 0.000446 s: set.inter_left_comm 0.000314 s: compl_sup 0.002781 s: set.compl_union 0.003320 s: measure_theory.outer_measure.is_caratheodory_union 0.003516 s: measure_theory.outer_measure.is_caratheodory_Union_lt 0.029844 s: measure_theory.outer_measure.is_caratheodory_Union_nat 0.000231 s: measure_theory.outer_measure.caratheodory_dynkin._proof_2 0.000195 s: measure_theory.outer_measure.caratheodory_dynkin 0.003590 s: measure_theory.outer_measure.is_caratheodory_compl_iff 0.000699 s: measure_theory.outer_measure.is_caratheodory_inter 0.000074 s: measure_theory.outer_measure.caratheodory._proof_1 0.000395 s: measure_theory.outer_measure.caratheodory 0.000138 s: measure_theory.measure.of_measurable._proof_1 0.000078 s: measure_theory.measure.of_measurable._proof_2 0.000335 s: measure_theory.measure.of_measurable._proof_3 0.000362 s: measure_theory.measure.of_measurable._proof_4 0.000324 s: measure_theory.measure.of_measurable._proof_5 0.000870 s: measure_theory.induced_outer_measure_eq 0.001361 s: measure_theory.measure.of_measurable._proof_6 0.000257 s: measure_theory.outer_measure.trim.equations._eqn_1 0.004593 s: measure_theory.measure.of_measurable._proof_7 0.009810 s: measure_theory.measure.of_measurable 0.008139 s: measure_theory.outer_measure.f_Union 0.001116 s: measure_theory.outer_measure.Union_eq_of_caratheodory 0.002822 s: measure_theory.outer_measure.to_measure._proof_1 0.000495 s: measure_theory.outer_measure.to_measure 0.001475 s: measure_theory.outer_measure.trim_congr 0.001013 s: measure_theory.measure.ext 0.001151 s: linear_map.map_add' 0.000859 s: linear_map.map_add 0.002336 s: measure_theory.to_measure_apply 0.000801 s: measure_theory.measure.coe_add 0.010561 s: measure_theory.measure.lift_linear._proof_1 0.002231 s: linear_map.map_smul' 0.001327 s: linear_map.map_smul 0.003314 s: measure_theory.measure.coe_smul 0.008530 s: measure_theory.measure.lift_linear._proof_2 0.001438 s: measure_theory.measure.lift_linear 0.001811 s: linear_map.comp._proof_1 0.000033 s: has_one.nonempty 0.003222 s: linear_map.comp._proof_2 0.001689 s: linear_map.comp 0.000246 s: measure_theory.outer_measure.map._proof_1 0.000658 s: measure_theory.outer_measure.map._proof_2 0.031430 s: measure_theory.outer_measure.map._proof_3 0.009497 s: measure_theory.outer_measure.map._proof_4 0.002370 s: measure_theory.outer_measure.map 0.000736 s: measure_theory.outer_measure.comap._proof_1 0.000298 s: measure_theory.outer_measure.comap._proof_2 0.000460 s: exists_swap 0.002384 s: set.image_Union 0.000872 s: measure_theory.outer_measure.comap._proof_3 0.002998 s: measure_theory.outer_measure.comap._proof_4 0.003059 s: measure_theory.outer_measure.comap._proof_5 0.029531 s: measure_theory.outer_measure.comap 0.000707 s: measure_theory.outer_measure.restrict 0.000717 s: measure_theory.outer_measure.restrict.equations._eqn_1 0.004837 s: linear_map.coe_comp 0.001396 s: measure_theory.outer_measure.map_apply 0.001293 s: measure_theory.outer_measure.comap_apply 0.000552 s: subtype.image_preimage_coe 0.003119 s: measure_theory.outer_measure.restrict_apply 0.000702 s: measure_theory.to_outer_measure_eq_induced_outer_measure 0.000498 s: measure_theory.outer_measure.is_caratheodory_iff_le 0.001240 s: set.Union_inter 0.000138 s: set.inter_subset_inter_left 0.000734 s: set.Union_diff 0.016732 s: sdiff_le_self_sdiff 0.002841 s: set.diff_subset_diff_left 0.033992 s: measure_theory.outer_measure.of_function_caratheodory 0.006726 s: measure_theory.measure_union 0.012941 s: measure_theory.le_to_outer_measure_caratheodory 0.004466 s: measure_theory.measure.restrictₗ._proof_1 0.001919 s: measure_theory.measure.restrictₗ 0.000257 s: measure_theory.measure.restrict 0.000473 s: measure_theory.measure.restrictₗ_apply 0.001996 s: measure_theory.measure.restrictₗ.equations._eqn_1 0.001656 s: measure_theory.measure.lift_linear_apply 0.004255 s: measure_theory.measure.restrict_apply 0.000108 s: set.pairwise_on 0.000318 s: finset.attach_eq_univ 0.004040 s: supr_subtype 0.000886 s: supr_subtype' 0.000784 s: set.bUnion_eq_Union 0.000357 s: set.pairwise_on.on_injective 0.003536 s: measure_theory.measure_bUnion 0.000021 s: trunc 0.000043 s: trunc.mk 0.000090 s: trunc.exists_rep 0.000063 s: trunc.nonempty 0.000270 s: pi.subsingleton 0.000069 s: trunc.ind 0.000085 s: trunc.induction_on 0.000104 s: trunc.induction_on₂ 0.000110 s: trunc.eq 0.000043 s: trunc.subsingleton 0.000178 s: encodable.trunc_encodable_of_fintype._proof_1 0.000292 s: list.find_index._main 0.000039 s: list.find_index 0.000102 s: list.index_of 0.000819 s: list.index_of_cons 0.000087 s: nat.succ_inj' 0.003831 s: list.index_of_eq_length 0.003520 s: list.index_of_le_length 0.002240 s: list.index_of_lt_length 0.000536 s: list.nth_le._main.equations._eqn_2 0.000118 s: list.nth_le.equations._eqn_2 0.000687 s: list.nth_le._main._proof_1 0.000973 s: list.nth_le._main.equations._eqn_3 0.000139 s: list.nth_le.equations._eqn_3 0.003407 s: list.index_of_nth_le 0.000846 s: list.index_of_nth 0.000256 s: encodable.encodable_of_list._proof_1 0.000160 s: encodable.encodable_of_list 0.000980 s: encodable.trunc_encodable_of_fintype 0.000540 s: set.finite.countable 0.000132 s: finset.countable_to_set 0.002003 s: measure_theory.measure_bUnion_finset 0.000116 s: pairwise.pairwise_on 0.000445 s: measure_theory.measure_mono 0.000432 s: set.bUnion_subset_bUnion_right 0.000197 s: set.disjointed_subset 0.000167 s: option.to_finset._match_1 0.000019 s: option.to_finset 0.000121 s: option.to_finset.equations._eqn_1 0.000178 s: option.to_finset._match_1.equations._eqn_1 0.000252 s: option.to_finset._match_1.equations._eqn_2 0.001973 s: option.mem_to_finset 0.000549 s: finset.supr_option_to_finset 0.000290 s: finset.set_bUnion_option_to_finset 0.000589 s: infi_exists 0.003278 s: supr_exists 0.002424 s: finset.supr_bUnion 0.000802 s: finset.set_bUnion_bUnion 0.000120 s: set.Union.equations._eqn_1 0.003909 s: supr_of_empty' 0.000109 s: supr_of_empty 0.000294 s: measure_theory.measure_empty 0.021187 s: measure_theory.measure_Union_eq_supr 0.003633 s: measure_theory.measure.restrict_Union_apply_eq_supr 0.002400 s: subfield 0.001817 s: subring 0.000371 s: subring.carrier 0.000763 s: submonoid 0.000126 s: submonoid.carrier 0.000457 s: set_like 0.000071 s: set_like.coe 0.000045 s: set_like.set.has_coe_t 0.000321 s: submonoid.cases_on 0.001446 s: submonoid.set_like._proof_1 0.000111 s: submonoid.set_like 0.000131 s: set_like.has_mem 0.000252 s: submonoid.one_mem' 0.000536 s: submonoid.one_mem 0.000526 s: submonoid.comap._proof_1 0.000376 s: submonoid.mul_mem' 0.000662 s: submonoid.mul_mem 0.001049 s: submonoid.comap._proof_2 0.000675 s: submonoid.comap 0.000279 s: ring_hom.to_monoid_hom 0.000223 s: ring_hom.has_coe_monoid_hom 0.001861 s: subsemiring 0.000266 s: subsemiring.carrier 0.000440 s: subsemiring.one_mem' 0.000361 s: subsemiring.mul_mem' 0.000209 s: subsemiring.to_submonoid 0.000472 s: subring.one_mem' 0.000415 s: subring.mul_mem' 0.000356 s: subring.zero_mem' 0.000403 s: subring.add_mem' 0.000306 s: subring.to_subsemiring 0.000140 s: subring.to_submonoid._proof_1 0.000186 s: subring.to_submonoid._proof_2 0.000423 s: subring.to_submonoid 0.000338 s: subring.comap._proof_1 0.000457 s: subring.comap._proof_2 0.000905 s: add_subgroup 0.000176 s: add_subgroup.carrier 0.000337 s: add_subgroup.cases_on 0.001468 s: add_subgroup.set_like._proof_1 0.000098 s: add_subgroup.set_like 0.000671 s: add_submonoid 0.000129 s: add_submonoid.carrier 0.000224 s: add_submonoid.cases_on 0.000993 s: add_submonoid.set_like._proof_1 0.000085 s: add_submonoid.set_like 0.000217 s: add_submonoid.zero_mem' 0.000369 s: add_submonoid.zero_mem 0.000508 s: add_submonoid.comap._proof_1 0.000280 s: add_submonoid.add_mem' 0.000735 s: add_submonoid.add_mem 0.001194 s: add_submonoid.comap._proof_2 0.000695 s: add_submonoid.comap 0.000356 s: add_subgroup.zero_mem' 0.000307 s: add_subgroup.add_mem' 0.000186 s: add_subgroup.to_add_submonoid 0.000215 s: add_subgroup.comap._proof_1 0.000261 s: add_subgroup.comap._proof_2 0.000364 s: add_monoid_hom.map_neg 0.000292 s: add_subgroup.neg_mem' 0.000745 s: add_subgroup.neg_mem 0.000950 s: add_subgroup.comap._proof_3 0.001282 s: add_subgroup.comap 0.000493 s: subring.neg_mem' 0.004331 s: subring.to_add_subgroup 0.019892 s: subring.comap._proof_3 0.020994 s: subring.comap._proof_4 0.020931 s: subring.comap._proof_5 0.011019 s: subring.comap 0.001168 s: subfield.carrier 0.001086 s: subfield.one_mem' 0.000892 s: subfield.mul_mem' 0.000767 s: subfield.zero_mem' 0.000605 s: subfield.add_mem' 0.000495 s: subfield.neg_mem' 0.000345 s: subfield.to_subring 0.000279 s: subfield.comap._proof_1 0.000266 s: subfield.comap._proof_2 0.000182 s: subfield.comap._proof_3 0.000256 s: subfield.comap._proof_4 0.000223 s: subfield.comap._proof_5 0.000860 s: subfield.cases_on 0.002715 s: subfield.set_like._proof_1 0.000122 s: subfield.set_like 0.000635 s: subfield.inv_mem' 0.000700 s: subfield.inv_mem 0.019765 s: subfield.comap._proof_6 0.003394 s: subfield.comap 0.002500 s: subfield.comap.equations._eqn_1 0.002058 s: submodule 0.000142 s: set_like.coe_injective' 0.000461 s: set_like.coe_injective 0.000406 s: set_like.partial_order._proof_1 0.000422 s: set_like.partial_order._proof_2 0.000549 s: set_like.partial_order._proof_3 0.000553 s: set_like.partial_order._proof_4 0.013027 s: set_like.partial_order 0.001744 s: submodule.carrier 0.000817 s: submodule.cases_on 0.001701 s: submodule.set_like._proof_1 0.000219 s: submodule.set_like 0.000351 s: submodule.order_bot._proof_2 0.000016 s: stream 0.000098 s: stream.is_seq 0.000028 s: seq 0.000203 s: generalized_continued_fraction.pair 0.000183 s: generalized_continued_fraction 0.000018 s: stream.nth 0.000039 s: stream.map 0.000034 s: generalized_continued_fraction.pair.b 0.000032 s: stream.tail 0.000040 s: generalized_continued_fraction.h 0.000084 s: generalized_continued_fraction.next_numerator 0.000029 s: generalized_continued_fraction.pair.a 0.000084 s: generalized_continued_fraction.next_denominator 0.000071 s: generalized_continued_fraction.next_continuants 0.000084 s: generalized_continued_fraction.continuants_aux._match_1 0.000078 s: seq.nth 0.000040 s: generalized_continued_fraction.s 0.001377 s: generalized_continued_fraction.continuants_aux._main 0.000035 s: generalized_continued_fraction.continuants_aux 0.000050 s: generalized_continued_fraction.continuants 0.000042 s: generalized_continued_fraction.denominators 0.000108 s: generalized_continued_fraction.denominators.equations._eqn_1 0.000243 s: finset.card 0.000864 s: is_primitive_root 0.000099 s: add_monoid_algebra 0.000034 s: polynomial 0.000225 s: finsupp.sum 0.001065 s: finset.filter_congr_decidable 0.001713 s: finsupp.on_finset._proof_1 0.000535 s: finsupp.on_finset 0.000363 s: finsupp.mem_support_iff 0.001704 s: finsupp.zip_with._proof_1 0.000551 s: finsupp.zip_with 0.000074 s: finsupp.has_add._proof_1 0.000158 s: finsupp.has_add 0.000215 s: finsupp.cases_on 0.001083 s: finsupp.coe_fn_injective 0.000262 s: finsupp.ext 0.001330 s: finsupp.add_monoid._match_1 0.000650 s: finsupp.add_monoid._match_2 0.000480 s: finsupp.add_monoid._match_3 0.000219 s: finsupp.add_monoid._proof_1 0.000861 s: finsupp.has_zero._proof_1 0.000142 s: finsupp.has_zero 0.000749 s: finsupp.add_zero_class._match_1 0.000123 s: finsupp.add_zero_class._proof_1 0.000668 s: finsupp.add_zero_class._match_2 0.000134 s: finsupp.add_zero_class._proof_2 0.000165 s: finsupp.add_zero_class 0.000126 s: finsupp.add_monoid._proof_2 0.000112 s: finsupp.add_monoid._proof_3 0.000033 s: not_imp_not 0.000656 s: finsupp.map_range._proof_1 0.000266 s: finsupp.map_range 0.001380 s: nsmul_add' 0.000595 s: succ_nsmul 0.001020 s: nsmul_zero 0.000496 s: finsupp.map_range_apply 0.000153 s: add_monoid.to_smul_with_zero 0.000309 s: finsupp.coe_zero 0.001740 s: finsupp.add_monoid._proof_4 0.000682 s: finsupp.coe_add 0.043477 s: finsupp.add_monoid._proof_5 0.001474 s: finsupp.add_monoid 0.000323 s: finsupp.add_comm_monoid._proof_1 0.000282 s: finsupp.add_comm_monoid._proof_2 0.000227 s: finsupp.add_comm_monoid._proof_3 0.002050 s: finsupp.add_comm_monoid._proof_4 0.001171 s: finsupp.add_comm_monoid._proof_5 0.001959 s: finsupp.add_comm_monoid._match_1 0.000545 s: finsupp.add_comm_monoid._match_2 0.000205 s: finsupp.add_comm_monoid._proof_6 0.000700 s: finsupp.add_comm_monoid 0.001032 s: add_monoid_algebra.add_comm_monoid 0.002570 s: finsupp.single._proof_1 0.000245 s: finsupp.single 0.000252 s: add_monoid_algebra.has_mul 0.000697 s: add_monoid_algebra.mul_def 0.000542 s: finsupp.add_apply 0.000319 s: finsupp.not_mem_support_iff 0.000948 s: finsupp.sum_of_support_subset 0.000434 s: finsupp.support_on_finset_subset 0.001417 s: finsupp.support_zip_with 0.000430 s: finsupp.support_add 0.001929 s: finsupp.sum_add_index 0.000106 s: function.update 0.000969 s: finsupp.single_apply 0.000183 s: set.indicator.equations._eqn_1 0.000875 s: finsupp.single_eq_indicator 0.000362 s: set.piecewise_eq_indicator 0.000229 s: function.update_same 0.000205 s: function.update_noteq 0.001277 s: set.piecewise_singleton 0.000910 s: finsupp.single_eq_update 0.000167 s: function.funext_iff 0.001776 s: function.forall_update_iff 0.000408 s: function.update_eq_iff 0.000299 s: function.update_eq_self 0.000965 s: finsupp.single_zero 0.000365 s: finsupp.single_eq_same 0.000362 s: finsupp.single_eq_of_ne 0.001124 s: finsupp.single_add 0.000305 s: finsupp.sum_add 0.005747 s: 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0.000109 s: add_comm_monoid.nat_semimodule._proof_5 0.000075 s: add_comm_monoid.nat_semimodule._proof_6 0.006491 s: add_comm_monoid.nat_semimodule 0.006128 s: add_monoid_algebra.semiring._proof_4 0.002089 s: finsupp.coe_smul 0.135979 s: add_monoid_algebra.semiring._proof_5 0.000580 s: add_monoid_algebra.semiring._proof_6 0.011910 s: finsupp.sum_finset_sum_index 0.001545 s: finsupp.sum_sum_index 0.000719 s: finsupp.support_single_subset 0.001123 s: finsupp.sum_single_index 0.014027 s: add_monoid_algebra.semigroup._proof_1 0.000229 s: add_monoid_algebra.semigroup 0.000227 s: add_monoid_algebra.semiring._proof_7 0.000202 s: add_monoid_algebra.has_one 0.000275 s: add_monoid_algebra.one_def 0.001006 s: add_equiv 0.001777 s: add_monoid_hom.has_add._proof_1 0.001473 s: add_monoid_hom.has_add._proof_2 0.000466 s: add_monoid_hom.has_add 0.000209 s: add_equiv.to_fun 0.000096 s: add_equiv.has_coe_to_fun 0.000813 s: finsupp.lift_add_hom._proof_1 0.000827 s: finsupp.lift_add_hom._proof_2 0.000125 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s: add_equiv.inv_fun 0.000409 s: add_equiv.left_inv 0.000361 s: add_equiv.right_inv 0.000231 s: add_equiv.to_equiv 0.001022 s: equiv.apply_eq_iff_eq_symm_apply 0.005523 s: finsupp.lift_add_hom_single_add_hom 0.003480 s: finsupp.sum_single 0.004768 s: add_monoid_algebra.mul_zero_one_class._proof_1 0.003817 s: add_monoid_algebra.mul_zero_one_class._proof_2 0.000180 s: add_monoid_algebra.mul_zero_one_class._proof_3 0.000111 s: add_monoid_algebra.mul_zero_one_class._proof_4 0.000502 s: add_monoid_algebra.mul_zero_one_class 0.000164 s: add_monoid_algebra.semiring._proof_8 0.000231 s: add_monoid_algebra.semiring._proof_9 0.000131 s: add_monoid_algebra.semiring._proof_10 0.000129 s: add_monoid_algebra.semiring._proof_11 0.000840 s: add_monoid_algebra.semiring._proof_12 0.000601 s: add_monoid_algebra.semiring._proof_13 0.000187 s: add_monoid_algebra.semiring._proof_14 0.000147 s: add_monoid_algebra.semiring._proof_15 0.000214 s: add_monoid_algebra.semiring._proof_16 0.000219 s: 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finset.sum_range_induction 0.000411 s: tactic.abel.unfold_sub 0.000178 s: norm_num.subst_into_add 0.000131 s: gpow._main 0.000062 s: gpow 0.000144 s: multiplicative.div_inv_monoid._proof_1 0.000082 s: multiplicative.div_inv_monoid._proof_2 0.000063 s: multiplicative.div_inv_monoid._proof_3 0.000210 s: multiplicative.div_inv_monoid._proof_4 0.000267 s: multiplicative.div_inv_monoid._proof_5 0.000189 s: multiplicative.has_inv 0.000094 s: multiplicative.has_div 0.002052 s: multiplicative.div_inv_monoid 0.000089 s: multiplicative.group._proof_1 0.000074 s: multiplicative.group._proof_2 0.000084 s: multiplicative.group._proof_3 0.000283 s: multiplicative.group._proof_4 0.000204 s: multiplicative.group._proof_5 0.000435 s: multiplicative.group._proof_6 0.002813 s: multiplicative.group 0.000056 s: gsmul 0.000062 s: tactic.abel.termg 0.000156 s: tactic.abel.termg.equations._eqn_1 0.001282 s: one_gsmul 0.000912 s: tactic.abel.term_atomg 0.000435 s: norm_num.subst_into_neg 0.000101 s: group.has_pow 0.000127 s: one_inv 0.003299 s: gpow_neg 0.001576 s: neg_gsmul 0.001767 s: tactic.abel.term_neg 0.009201 s: int.induction_on 0.000642 s: gpow_zero 0.000575 s: gpow_coe_nat 0.001045 s: right_cancel_semigroup 0.000212 s: right_cancel_semigroup.mul 0.000389 s: right_cancel_semigroup.mul_assoc 0.000065 s: right_cancel_semigroup.to_semigroup 0.002411 s: right_cancel_monoid.mul_right_cancel 0.000096 s: right_cancel_monoid.to_right_cancel_semigroup 0.000923 s: inv_mul_cancel_left 0.001020 s: group.to_cancel_monoid._proof_1 0.000262 s: mul_right_inv 0.000502 s: mul_inv_cancel_right 0.000755 s: group.to_cancel_monoid._proof_2 0.000403 s: group.to_cancel_monoid 0.000395 s: right_cancel_semigroup.mul_right_cancel 0.000248 s: mul_right_cancel 0.000168 s: mul_left_injective 0.000139 s: mul_left_inj 0.000370 s: int.neg_succ_of_nat_eq 0.000535 s: gpow_one 0.000489 s: mul_inv_cancel_left 0.000744 s: mul_inv_rev 0.000689 s: inv_mul_cancel_right 0.008273 s: gpow_add_one 0.003507 s: gpow_sub_one 0.005100 s: gpow_add 0.002213 s: add_gsmul 0.001975 s: tactic.abel.term_add_termg 0.001134 s: zero_gsmul 0.000474 s: tactic.abel.zero_termg 0.001702 s: tactic.abel.term_add_constg 0.001553 s: tactic.abel.const_add_termg 0.000586 s: norm_num.add_neg_pos_pos 0.040784 s: finset.sum_range_sub' 0.000333 s: with_bot.bot_lt_coe 0.012169 s: polynomial.coeff_eq_zero_of_nat_degree_lt 0.003362 s: polynomial.coeff_nat_degree_succ_eq_zero 0.001836 s: finset.nat.antidiagonal_zero 0.001067 s: polynomial.mul_coeff_zero 0.000485 s: polynomial.coeff_X_zero 0.028407 s: polynomial.eval_mul_X_sub_C 0.005168 s: polynomial.eval₂_one 0.000257 s: polynomial.eval_one 0.033904 s: polynomial.not_is_unit_X_sub_C 0.003852 s: polynomial.C_inj 0.002439 s: polynomial.dvd_iff_is_root 0.073739 s: polynomial.prime_X_sub_C 0.000040 s: roption.some 0.000071 s: enat.has_coe 0.000097 s: roption.cases_on 0.000076 s: roption.no_confusion_type 0.000360 s: roption.no_confusion 0.000168 s: roption.mk.inj 0.000394 s: roption.some_inj 0.000379 s: enat.coe_inj 0.007670 s: roption.ext' 0.000396 s: enat.coe_get 0.000057 s: roption.mem 0.000106 s: roption.has_mem 0.000108 s: enat.has_le 0.000297 s: one_dvd 0.001404 s: multiplicity.pow_dvd_of_le_multiplicity 0.000664 s: enat.partial_order._proof_1 0.000980 s: enat.partial_order._match_1 0.000261 s: enat.partial_order._match_2 0.000054 s: enat.partial_order._proof_2 0.000043 s: enat.partial_order._proof_3 0.001867 s: enat.partial_order._match_3 0.001040 s: enat.partial_order._match_4 0.000941 s: enat.partial_order._proof_4 0.000369 s: enat.partial_order 0.000049 s: roption.none 0.000030 s: enat.has_top 0.000351 s: roption.mem_some 0.000433 s: roption.eq_some_iff 0.000148 s: roption.some_get 0.000100 s: roption.not_mem_none 0.000398 s: roption.ext 0.000375 s: roption.eq_none_iff 0.000182 s: roption.eq_none_iff' 0.000162 s: roption.induction_on 0.000241 s: enat.cases_on 0.000043 s: enat.has_zero 0.000021 s: enat.has_bot 0.000187 s: enat.semilattice_sup_bot._proof_1 0.000032 s: enat.has_sup._proof_1 0.000029 s: enat.has_sup._proof_2 0.000099 s: enat.has_sup 0.001610 s: enat.semilattice_sup_bot._proof_2 0.000765 s: enat.semilattice_sup_bot._proof_3 0.001440 s: enat.semilattice_sup_bot._match_1 0.000466 s: enat.semilattice_sup_bot._match_2 0.000147 s: enat.semilattice_sup_bot._proof_4 0.000754 s: enat.semilattice_sup_bot 0.000158 s: enat.order_top._proof_1 0.000494 s: enat.order_top 0.000336 s: enat.coe_le_coe 0.001659 s: enat.linear_order._proof_1 0.000359 s: enat.linear_order 0.000893 s: multiplicity.pow_multiplicity_dvd 0.000090 s: enat.le_def 0.002407 s: enat.lt_def 0.000125 s: enat.dom_coe 0.000110 s: enat.get_coe' 0.000552 s: enat.lt_coe_iff 0.000448 s: pow_dvd_pow 0.003328 s: multiplicity.is_greatest 0.000951 s: enat.le_coe_iff 0.002825 s: multiplicity.unique 0.000800 s: multiplicity.unique' 0.005476 s: multiplicity.eq_some_iff 0.002129 s: enat.coe_lt_coe 0.002642 s: multiplicity.is_greatest' 0.000437 s: 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0.000151 s: complex.mul_im 0.000497 s: tactic.ring.unfold_sub 0.000181 s: norm_num.subst_into_mul 0.001792 s: tactic.ring.horner_mul_const 0.004105 s: tactic.ring.horner_neg 0.001673 s: tactic.ring.horner_const_mul 0.000511 s: norm_num.mul_neg_pos 0.002396 s: tactic.ring.horner_add_horner_eq 0.013091 s: complex.comm_ring._proof_9 0.000203 s: complex.one_re 0.000123 s: complex.one_im 0.004864 s: complex.comm_ring._proof_10 0.003527 s: complex.comm_ring._proof_11 0.006538 s: complex.comm_ring._proof_12 0.005074 s: complex.comm_ring._proof_13 0.008518 s: complex.comm_ring._proof_14 0.010502 s: complex.comm_ring._proof_15 0.014510 s: complex.comm_ring._proof_16 0.002297 s: complex.comm_ring 0.013287 s: complex.conj._proof_1 0.002566 s: real.domain._proof_1 0.145146 s: real.domain 0.019853 s: complex.conj._proof_2 0.009622 s: complex.conj._proof_3 0.004183 s: complex.conj._proof_4 0.000442 s: complex.conj 0.004326 s: complex.norm_sq._proof_1 0.006392 s: complex.norm_sq._proof_2 0.006076 s: tactic.ring.horner_mul_horner 0.004296 s: tactic.ring.horner_mul_horner_zero 0.003230 s: tactic.ring.horner_horner 0.001517 s: norm_num.add_neg_neg 0.001880 s: tactic.ring.zero_horner 0.022325 s: complex.norm_sq._proof_3 0.000240 s: complex.norm_sq 0.000312 s: complex.has_inv 0.000319 s: complex.field._proof_1 0.001984 s: complex.field._proof_2 0.000294 s: complex.inv_def 0.000375 s: complex.conj_re 0.000190 s: complex.conj_im 0.000239 s: complex.norm_sq.equations._eqn_1 0.003111 s: monoid_with_zero_hom.coe_mk 0.000301 s: complex.of_real_re 0.000120 s: complex.of_real_im 0.002456 s: complex.of_real_add 0.004104 s: complex.of_real_mul 0.010902 s: complex.mul_conj 0.034998 s: abs_mul_abs_self 0.000336 s: abs_mul_self 0.074811 s: mul_self_nonneg 0.007513 s: mul_self_eq_zero 0.052463 s: mul_self_add_mul_self_eq_zero 0.000355 s: eq_zero_of_mul_self_add_mul_self_eq_zero 0.002350 s: complex.norm_sq_zero 0.011731 s: complex.norm_sq_eq_zero 0.000189 s: complex.of_real_one 0.011670 s: complex.mul_inv_cancel 0.000239 s: complex.of_real_zero 0.010363 s: complex.inv_re 0.006531 s: complex.norm_sq_of_real 0.001204 s: inv_mul_mul_self 0.005735 s: div_self_mul_self' 0.011085 s: complex.inv_im 0.001890 s: zero_div 0.031615 s: complex.of_real_inv 0.006317 s: complex.inv_zero 0.008107 s: complex.field 0.000099 s: nat.coprime.equations._eqn_1 0.000095 s: nat.coprime.decidable._proof_1 0.000102 s: nat.coprime.decidable 0.000056 s: nat.totient 0.001805 s: list.length_pmap 0.003080 s: multiset.card_pmap 0.000627 s: multiset.card_attach 0.001841 s: finset.card_attach 0.000199 s: finset.card.equations._eqn_1 0.000831 s: list.length_map 0.001761 s: multiset.card_map 0.001024 s: finset.card_image_of_inj_on 0.000304 s: finset.card_image_of_injective 0.002043 s: finset.card_congr 0.000257 s: primitive_roots.equations._eqn_1 0.000527 s: multiset.mem_to_finset 0.000426 s: polynomial.nth_roots.equations._eqn_1 0.027407 s: polynomial.roots.equations._eqn_1 0.054314 s: 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0.004445 s: enat.canonically_ordered_add_monoid 0.012749 s: multiplicity.dvd_iff_multiplicity_pos 0.068768 s: polynomial.root_multiplicity_pos 0.032995 s: polynomial.mem_roots 0.006129 s: ring_hom.map_pow 0.002067 s: is_semiring_hom 0.000521 s: is_mul_hom 0.000656 s: is_monoid_hom 0.000219 s: is_monoid_hom.map_one 0.000187 s: monoid_hom.of._proof_1 0.000252 s: is_mul_hom.map_mul 0.000163 s: is_monoid_hom.to_is_mul_hom 0.000248 s: monoid_hom.of._proof_2 0.000291 s: monoid_hom.of 0.000755 s: is_semiring_hom.map_mul 0.000518 s: is_semiring_hom.map_one 0.001871 s: is_semiring_hom.is_monoid_hom 0.005857 s: ring_hom.of._proof_1 0.005417 s: ring_hom.of._proof_2 0.000530 s: is_semiring_hom.map_add 0.000314 s: is_semiring_hom.map_zero 0.002942 s: is_semiring_hom.is_add_monoid_hom 0.000296 s: ring_hom.of._proof_3 0.000279 s: ring_hom.of._proof_4 0.002999 s: ring_hom.of 0.000532 s: polynomial.eval₂.is_semiring_hom 0.000201 s: polynomial.eval₂_ring_hom 0.001016 s: polynomial.eval₂_pow 0.000360 s: 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s: nat.xgcd_aux_rec 0.001300 s: nat.xgcd_aux_fst 0.000421 s: nat.xgcd_aux_val 0.046368 s: nat.xgcd_aux_P 0.000241 s: _private.549113655.P._main.equations._eqn_1 0.000089 s: _private.549113655.P.equations._eqn_1 0.009690 s: nat.gcd_eq_gcd_ab 0.005146 s: gpow_sub 0.005529 s: gpow_mul 0.001415 s: one_gpow 0.007303 s: is_primitive_root.pow_of_coprime 0.003960 s: nat.eq_zero_of_dvd_of_div_eq_zero 0.000134 s: nat.mul_right_inj 0.005442 s: nat.div_eq_zero_iff 0.002285 s: nat.eq_zero_of_dvd_of_lt 0.000770 s: units.mul_left_inj 0.000629 s: is_unit.mul_left_inj 0.000078 s: nat.sub_le_self 0.000038 s: iff.to_eq 0.004832 s: is_primitive_root.pow_inj 0.000563 s: invertible 0.000177 s: invertible.inv_of 0.000272 s: invertible.mul_inv_of_self 0.000136 s: mul_inv_of_self 0.000715 s: unit_of_invertible._proof_1 0.000267 s: invertible.inv_of_mul_self 0.000102 s: inv_of_mul_self 0.000287 s: unit_of_invertible._proof_2 0.000210 s: unit_of_invertible 0.000864 s: is_unit_of_invertible 0.000416 s: invertible_of_pow_succ_eq_one._proof_1 0.000314 s: invertible_of_pow_succ_eq_one._proof_2 0.000235 s: invertible_of_pow_succ_eq_one 0.000978 s: invertible_of_pow_eq_one._proof_1 0.000320 s: invertible_of_pow_eq_one 0.000113 s: is_unit_of_pow_eq_one 0.000047 s: coe_pnat_nat 0.001159 s: subgroup 0.000175 s: subgroup.carrier 0.000452 s: subgroup.cases_on 0.001621 s: subgroup.set_like._proof_1 0.000160 s: subgroup.set_like 0.000207 s: roots_of_unity._proof_1 0.003319 s: roots_of_unity._proof_2 0.001082 s: inv_pow 0.000871 s: roots_of_unity._proof_3 0.000491 s: roots_of_unity 0.000435 s: subgroup.one_mem' 0.000716 s: subgroup.copy._proof_1 0.000404 s: subgroup.mul_mem' 0.000557 s: subgroup.copy._proof_2 0.000307 s: subgroup.inv_mem' 0.000368 s: subgroup.copy._proof_3 0.000275 s: subgroup.copy 0.000763 s: submonoid.map._proof_1 0.002590 s: submonoid.map._proof_2 0.000512 s: submonoid.map 0.000226 s: subgroup.to_submonoid 0.000262 s: subgroup.map._proof_1 0.000278 s: subgroup.map._proof_2 0.000605 s: subgroup.inv_mem 0.000502 s: monoid_hom.map_mul_eq_one 0.000347 s: monoid_hom.map_inv 0.001434 s: subgroup.map._proof_3 0.001053 s: subgroup.map 0.000073 s: submonoid.has_top._proof_1 0.000082 s: submonoid.has_top._proof_2 0.000127 s: submonoid.has_top 0.000132 s: subgroup.has_top._proof_1 0.000163 s: subgroup.has_top._proof_2 0.000106 s: subgroup.has_top._proof_3 0.000332 s: subgroup.has_top 0.000663 s: subgroup.coe_map 0.000340 s: subgroup.coe_top 0.001222 s: monoid_hom.range._proof_1 0.000276 s: monoid_hom.range 0.000140 s: gpowers_hom._proof_1 0.002410 s: monoid_hom.map_gpow 0.000593 s: of_add_gsmul 0.013424 s: gsmul_eq_mul 0.004672 s: int.cast_id 0.040094 s: gsmul_int_int 0.054733 s: gpowers_hom._proof_2 0.009080 s: gpowers_hom 0.000098 s: subgroup.gpowers._proof_1 0.037682 s: subgroup.gpowers 0.000048 s: fintype.card 0.000072 s: set.has_ssubset 0.004170 s: set.eq_or_ssubset_of_subset 0.001228 s: finset.card_map 0.001366 s: finset.val_lt_iff 0.000729 s: finset.card_lt_card 0.000780 s: finset.card_lt_univ_of_not_mem 0.007795 s: finset.coe_map 0.000542 s: finset.coe_univ 0.000962 s: fintype.card_lt_of_injective_of_not_mem 0.000523 s: fintype.card_lt_of_injective_not_surjective 0.000422 s: set.inclusion._proof_1 0.000543 s: set.inclusion 0.001801 s: set.inclusion_injective 0.002621 s: set.ssubset_iff_subset_ne 0.000681 s: set.inclusion.equations._eqn_1 0.000442 s: subtype.mk_eq_mk 0.003198 s: set.range_inclusion 0.001170 s: set.eq_of_inclusion_surjective 0.000669 s: set.card_lt_card 0.001269 s: set.eq_of_subset_of_card_le 0.000198 s: fintype.of_bijective._proof_1 0.001405 s: multiset.mem_map_of_injective 0.000762 s: finset.mem_map' 0.000387 s: finset.mem_map_of_mem 0.000695 s: fintype.of_bijective._match_1 0.000182 s: fintype.of_bijective._proof_2 0.000188 s: fintype.of_bijective 0.000211 s: equiv.bijective 0.000141 s: fintype.of_equiv 0.000098 s: set_like.has_coe_to_sort 0.000046 s: zmod._main 0.000008 s: zmod 0.000084 s: fact 0.000023 s: fact.out 0.000076 s: fin.mk 0.000057 s: list.fin_range._proof_1 0.000062 s: list.fin_range 0.000208 s: list.nodup_fin_range 0.000292 s: finset.fin_range 0.000318 s: fin.eta 0.000469 s: list.mem_fin_range 0.000783 s: finset.mem_fin_range 0.000048 s: fin.fintype 0.000203 s: zmod.fintype._main 0.000026 s: zmod.fintype 0.000116 s: pnat.pos 0.000318 s: _private.4164854483.mlt 0.000126 s: fin.add._main 0.000015 s: fin.add 0.000022 s: fin.has_add 0.000127 s: fin.eq_iff_veq 0.000049 s: fin.add._main._proof_1 0.000191 s: fin.add._main.equations._eqn_1 0.000099 s: fin.add.equations._eqn_1 0.000886 s: fin.add_def 0.000150 s: fin.val_eq_coe 0.001958 s: nat.mod_add_mod 0.001086 s: nat.add_mod_mod 0.000038 s: fin.inhabited 0.002309 s: fin.add_comm_monoid._proof_1 0.000291 s: fin.val_zero' 0.000178 s: fin.is_lt 0.004470 s: fin.zero_add 0.005252 s: fin.add_zero 0.000752 s: fin.add_comm_monoid._proof_2 0.000660 s: fin.add_comm_monoid._proof_3 0.004976 s: fin.add_comm_monoid._proof_4 0.002035 s: fin.add_comm_monoid 0.000121 s: fin.add_comm_group._proof_1 0.000088 s: fin.add_comm_group._proof_2 0.000099 s: fin.add_comm_group._proof_3 0.000284 s: fin.add_comm_group._proof_4 0.000180 s: fin.add_comm_group._proof_5 0.000053 s: int.nat_mod 0.000078 s: int.nat_mod.equations._eqn_1 0.000389 s: int.to_nat_of_nonneg 0.002448 s: int.coe_nat_ne_zero_iff_pos 0.004331 s: fin.has_neg._proof_1 0.000144 s: fin.has_neg 0.000155 s: fin.sub._main 0.000029 s: fin.sub 0.000431 s: int.coe_nat_mod 0.000702 s: int.add_mul_mod_self_left 0.000988 s: int.mod_add_mod 0.000365 s: int.add_mod_eq_add_mod_right 0.003930 s: int.mod_add_cancel_right 0.000831 s: int.mod_add_cancel_left 0.001543 s: int.add_mod_self 0.000708 s: int.add_mod_self_left 0.000329 s: int.mod_mod 0.008951 s: fin.add_comm_group._match_2 0.002631 s: fin.add_comm_group._match_3 0.000661 s: fin.add_comm_group._proof_6 0.001228 s: int.add_mod_mod 0.010552 s: fin.add_comm_group._match_1 0.000885 s: fin.add_comm_group._proof_7 0.000170 s: fin.add_comm_group._proof_8 0.002393 s: fin.add_comm_group 0.000105 s: fin.comm_ring._proof_1 0.000078 s: fin.comm_ring._proof_2 0.000069 s: fin.comm_ring._proof_3 0.000347 s: fin.comm_ring._proof_4 0.000344 s: fin.comm_ring._proof_5 0.000510 s: fin.comm_ring._proof_6 0.000513 s: fin.comm_ring._proof_7 0.000154 s: fin.comm_ring._proof_8 0.000194 s: fin.mul._main 0.000015 s: fin.mul 0.000026 s: fin.has_mul 0.000021 s: nat.modeq 0.000104 s: nat.modeq.trans 0.000085 s: nat.modeq.equations._eqn_1 0.000233 s: int.mod_sub_cancel_right 0.002978 s: int.mod_eq_mod_iff_mod_sub_eq_zero 0.000657 s: int.dvd_of_mod_eq_zero 0.000063 s: int.dvd_iff_mod_eq_zero 0.000593 s: nat.modeq.modeq_iff_dvd 0.000113 s: nat.modeq.modeq_of_dvd 0.000081 s: nat.modeq.dvd_of_modeq 0.000114 s: nat.modeq.modeq_of_dvd_of_modeq 0.000340 s: nat.modeq.modeq_mul_left' 0.001846 s: nat.modeq.modeq_mul_left 0.001322 s: nat.modeq.modeq_mul_right 0.000091 s: nat.modeq.modeq_mul 0.000540 s: nat.mod_mod 0.000053 s: nat.modeq.refl 0.002228 s: fin.comm_semigroup._match_1 0.000245 s: fin.comm_semigroup._match_2 0.000198 s: fin.comm_semigroup._match_3 0.000074 s: fin.comm_semigroup._proof_1 0.001750 s: fin.comm_semigroup._match_4 0.000304 s: fin.comm_semigroup._match_5 0.000127 s: fin.comm_semigroup._proof_2 0.000153 s: fin.comm_semigroup 0.000076 s: fin.comm_ring._proof_9 0.000035 s: fin.of_nat._proof_1 0.000042 s: fin.of_nat 0.000026 s: fin.has_one 0.000212 s: fin.eq_zero 0.000197 s: fin.unique 0.000052 s: fin.mul._main._proof_1 0.000185 s: fin.mul._main.equations._eqn_1 0.000143 s: fin.mul.equations._eqn_1 0.000833 s: fin.mul_def 0.001143 s: fin.val_one 0.004607 s: fin.one_mul 0.003687 s: fin.mul_one 0.000811 s: fin.comm_ring._proof_10 0.000739 s: fin.comm_ring._proof_11 0.001473 s: dvd_add 0.010408 s: nat.modeq.modeq_add 0.004383 s: _private.1897013675.left_distrib_aux 0.001239 s: fin.comm_ring._proof_12 0.000162 s: fin.comm_ring._proof_13 0.002881 s: fin.comm_ring 0.000173 s: zmod.comm_ring._main 0.000012 s: zmod.comm_ring 0.000606 s: submonoid.has_mul._proof_1 0.000320 s: submonoid.has_mul 0.000774 s: subgroup.has_mul 0.000473 s: add_equiv.of_bijective._proof_1 0.000322 s: add_equiv.of_bijective._proof_2 0.003053 s: add_equiv.of_bijective 0.000794 s: function.injective.group._proof_1 0.000608 s: function.injective.group._proof_2 0.000406 s: function.injective.group._proof_3 0.000625 s: function.injective.group._proof_4 0.000628 s: function.injective.group._proof_5 0.000786 s: function.injective.group._proof_6 0.002756 s: function.injective.group._proof_7 0.003000 s: function.injective.group 0.000240 s: submonoid.has_one 0.000844 s: subgroup.has_one 0.000601 s: subgroup.has_inv._proof_1 0.000351 s: subgroup.has_inv 0.001379 s: subgroup.div_mem 0.000651 s: subgroup.has_div._proof_1 0.000415 s: subgroup.has_div 0.000295 s: subgroup.to_group._proof_1 0.000325 s: subgroup.to_group._proof_2 0.000328 s: subgroup.to_group._proof_3 0.000307 s: subgroup.to_group._proof_4 0.000267 s: subgroup.to_group._proof_5 0.003410 s: subgroup.to_group 0.000124 s: additive.sub_neg_monoid._proof_1 0.000155 s: additive.sub_neg_monoid._proof_2 0.000095 s: additive.sub_neg_monoid._proof_3 0.000321 s: additive.sub_neg_monoid._proof_4 0.000302 s: additive.sub_neg_monoid._proof_5 0.000199 s: additive.has_neg 0.000091 s: additive.has_sub 0.002060 s: additive.sub_neg_monoid 0.000097 s: additive.add_group._proof_1 0.000105 s: additive.add_group._proof_2 0.000092 s: additive.add_group._proof_3 0.000310 s: additive.add_group._proof_4 0.000315 s: additive.add_group._proof_5 0.000483 s: additive.add_group._proof_6 0.003245 s: additive.add_group 0.000282 s: add_subgroup.has_bot._proof_1 0.000251 s: add_subgroup.has_bot._proof_2 0.000409 s: add_submonoid.mem_carrier 0.000602 s: neg_eq_zero 0.000743 s: add_subgroup.has_bot._proof_3 0.000529 s: add_subgroup.has_bot 0.000252 s: add_monoid_hom.ker 0.003055 s: add_monoid_hom.lift_of_right_inverse_aux._proof_1 0.000633 s: add_neg_eq_zero 0.001603 s: add_monoid_hom.mem_ker 0.002830 s: add_monoid_hom.lift_of_right_inverse_aux._proof_2 0.002100 s: add_monoid_hom.lift_of_right_inverse_aux 0.000457 s: add_monoid_hom.lift_of_right_inverse._proof_1 0.002013 s: add_monoid_hom.lift_of_right_inverse._proof_2 0.000837 s: add_monoid_hom.comp_apply 0.003056 s: add_monoid_hom.lift_of_right_inverse_aux_comp_apply 0.008131 s: add_monoid_hom.lift_of_right_inverse._proof_3 0.002922 s: add_monoid_hom.lift_of_right_inverse_aux.equations._eqn_1 0.007769 s: add_monoid_hom.lift_of_right_inverse._proof_4 0.003495 s: add_monoid_hom.lift_of_right_inverse 0.000147 s: zmod.val._main 0.000012 s: zmod.val 0.000439 s: zmod.cast._main 0.000042 s: zmod.cast 0.000057 s: zmod.has_coe_t 0.002445 s: int.nat_cast_eq_coe_nat 0.000271 s: fin.ext 0.000730 s: fin.val_add 0.000086 s: fin.of_nat.equations._eqn_1 0.000195 s: nat.add_mod 0.004752 s: fin.of_nat_eq_coe 0.001529 s: fin.coe_val_of_lt 0.000856 s: fin.coe_val_eq_self 0.000542 s: fin.coe_coe_eq_self 0.007532 s: zmod.int_cast_zmod_cast 0.000241 s: zmod.int_cast_right_inverse 0.000278 s: is_primitive_root.zmod_equiv_gpowers._proof_1 0.007384 s: is_primitive_root.zmod_equiv_gpowers._proof_2 0.008131 s: is_primitive_root.zmod_equiv_gpowers._proof_3 0.000607 s: char_p 0.000273 s: dvd_neg 0.000131 s: nat.can_lift._proof_1 0.000106 s: nat.can_lift 0.000185 s: char_p.cast_eq_zero_iff 0.021068 s: char_p.int_cast_eq_zero_iff 0.007975 s: zmod.val_nat_cast 0.002076 s: zmod.val_zero 0.000298 s: nat.dvd_of_mod_eq_zero 0.000107 s: nat.dvd_iff_mod_eq_zero 0.008835 s: zmod.char_p 0.073618 s: is_primitive_root.zmod_equiv_gpowers._proof_4 0.008022 s: add_monoid_hom.injective_iff 0.001891 s: comm_group.inv 0.000976 s: comm_group.div 0.002546 s: comm_group.div_eq_mul_inv 0.004060 s: comm_group.mul_left_inv 0.000496 s: comm_group.to_group 0.001017 s: is_primitive_root.pow_eq_one_iff_dvd 0.000091 s: inv_involutive 0.000103 s: inv_injective 0.000071 s: inv_inj 0.013119 s: is_primitive_root.gpow_eq_one_iff_dvd 0.000147 s: has_coe_t_aux 0.000083 s: has_coe_t_aux.coe 0.000087 s: coe_fn_trans 0.000036 s: coe_base_aux 0.003653 s: add_monoid_hom.lift_of_right_inverse_comp_apply 0.158712 s: is_primitive_root.zmod_equiv_gpowers._proof_5 0.075500 s: is_primitive_root.zmod_equiv_gpowers 0.000443 s: fintype.of_multiset._proof_1 0.000160 s: fintype.of_multiset 0.000264 s: multiset.subtype.fintype 0.000805 s: mem_roots_of_unity 0.027275 s: mem_roots_of_unity_iff_mem_nth_roots 0.018889 s: roots_of_unity_equiv_nth_roots._proof_1 0.000329 s: subtype.val_injective 0.000155 s: subtype.linear_order 0.000090 s: pnat.linear_order 0.000035 s: pnat.has_one 0.001542 s: pnat.one_le 0.017515 s: roots_of_unity_equiv_nth_roots._proof_2 0.015177 s: roots_of_unity_equiv_nth_roots._proof_3 0.000623 s: units.coe_mk 0.030766 s: roots_of_unity_equiv_nth_roots._proof_4 0.041324 s: roots_of_unity_equiv_nth_roots._proof_5 0.039651 s: roots_of_unity_equiv_nth_roots._proof_6 0.020837 s: roots_of_unity_equiv_nth_roots 0.002046 s: roots_of_unity.fintype 0.000328 s: submonoid.to_monoid._proof_1 0.000433 s: submonoid.to_monoid._proof_2 0.000440 s: submonoid.to_monoid._proof_3 0.001748 s: submonoid.to_monoid 0.000144 s: submonoid.to_mul_one_class._proof_1 0.000257 s: submonoid.to_mul_one_class._proof_2 0.000293 s: submonoid.to_mul_one_class._proof_3 0.001062 s: submonoid.to_mul_one_class 0.000297 s: submonoid.subtype._proof_1 0.000368 s: submonoid.subtype._proof_2 0.001044 s: submonoid.subtype 0.001424 s: submonoid.coe_pow 0.001088 s: submonoid.pow_mem 0.000842 s: subgroup.pow_mem 0.001002 s: subgroup.gpow_mem 0.001138 s: subgroup.gpowers_subset 0.001173 s: fintype.of_equiv_card 0.001314 s: fintype.subsingleton._match_1 0.000112 s: fintype.subsingleton._match_2 0.000052 s: fintype.subsingleton 0.000459 s: fintype.card_congr 0.001100 s: multiset.card_le_of_le 0.000282 s: list.erase_dup_sublist 0.000741 s: multiset.erase_dup_le 0.000214 s: multiset.empty_eq_zero 0.000427 s: multiset.card_zero 0.034549 s: polynomial.card_roots 0.001472 s: is_ring_hom 0.002591 s: is_ring_hom.map_add 0.004848 s: is_ring_hom.map_zero 0.004424 s: is_ring_hom.map_neg 0.002467 s: is_ring_hom.map_sub 0.002735 s: is_ring_hom.of_semiring 0.000812 s: ring_hom.is_semiring_hom 0.000272 s: ring_hom.is_ring_hom 0.043168 s: polynomial.card_nth_roots 0.007478 s: card_roots_of_unity 0.000164 s: list.fin_range.equations._eqn_1 0.000219 s: list.length_range 0.000388 s: list.length_fin_range 0.001332 s: fintype.card_fin 0.000578 s: zmod.card 0.026427 s: is_primitive_root.gpowers_eq 0.006583 s: is_primitive_root.gpow_eq_one 0.088248 s: is_primitive_root.eq_pow_of_mem_roots_of_unity 0.021835 s: is_primitive_root.eq_pow_of_pow_eq_one 0.000245 s: nat.mul_left_inj 0.006809 s: is_primitive_root.pow_iff_coprime 0.013548 s: is_primitive_root.is_primitive_root_iff 0.015566 s: is_primitive_root.card_primitive_roots 0.000882 s: rel_iso 0.000064 s: order_iso 0.000117 s: equiv.to_embedding 0.000385 s: rel_iso.to_equiv 0.000354 s: rel_iso.map_rel_iff' 0.000650 s: rel_iso.to_rel_embedding 0.000120 s: rel_iso.rel_embedding.has_coe 0.000374 s: rel_iso.has_coe_to_fun 0.001051 s: rel_iso.map_rel_iff 0.002010 s: rel_iso.symm._proof_1 0.000157 s: rel_iso.symm 0.000149 s: order_iso.symm 0.001057 s: rel_iso.trans._proof_1 0.001458 s: rel_iso.trans 0.000237 s: order_iso.trans 0.002322 s: strict_mono.order_iso._proof_1 0.002652 s: strict_mono.order_iso 0.000575 s: order_iso.set_congr._proof_1 0.001462 s: order_iso.set_congr 0.000223 s: order_iso.set.univ._proof_1 0.000839 s: order_iso.set.univ 0.000693 s: strict_mono.order_iso_of_surjective 0.000485 s: mul_self_lt_mul_self 0.009099 s: nnreal.sqrt._proof_1 0.000243 s: filter.at_bot 0.000159 s: is_preconnected 0.000344 s: preconnected_space 0.002432 s: set.subset_compl_iff_disjoint 0.006673 s: is_preconnected_closed_iff 0.000055 s: preconnected_space.is_preconnected_univ 0.007082 s: intermediate_value_univ₂ 0.001141 s: intermediate_value_univ 0.001007 s: mem_range_of_exists_le_of_exists_ge 0.000339 s: set.restrict 0.004963 s: subtype.preconnected_space 0.000820 s: map_nhds_induced_eq 0.000467 s: inducing.map_nhds_eq 0.000323 s: embedding.map_nhds_eq 0.000365 s: embedding_subtype_coe 0.001445 s: nhds_within_eq_map_subtype_coe 0.000455 s: set.restrict.equations._eqn_1 0.001602 s: tendsto_nhds_within_iff_subtype 0.000615 s: continuous_within_at_iff_continuous_at_restrict 0.000920 s: continuous_on_iff_continuous_restrict 0.001460 s: is_preconnected.intermediate_value₂ 0.000123 s: continuous_on_const 0.000778 s: is_preconnected.intermediate_value 0.000078 s: continuous_on_id 0.000402 s: is_preconnected.Icc_subset 0.001394 s: is_preconnected_of_forall_pair 0.000051 s: set.interval 0.000090 s: set.interval.equations._eqn_1 0.002015 s: set.interval_of_le 0.001936 s: set.interval_of_ge 0.002535 s: set.ord_connected.interval_subset 0.000139 s: set.mem_Icc 0.001900 s: set.left_mem_interval 0.001558 s: set.interval_swap 0.000134 s: set.right_mem_interval 0.000305 s: set.Icc_subset_Icc 0.000381 s: set.right_mem_Icc 0.000287 s: set.left_mem_Icc 0.000188 s: is_lub.mem_of_is_closed 0.000448 s: is_lub_cSup 0.008026 s: is_closed.cSup_mem 0.007794 s: is_closed.mem_of_ge_of_forall_exists_gt 0.000111 s: set.Icc_subset_Icc_right 0.000255 s: is_closed_ge' 0.000125 s: is_closed_Ici 0.000192 s: is_closed_le' 0.000076 s: is_closed_Iic 0.000456 s: is_closed_Icc 0.000144 s: set.Ico_subset_Ico_right 0.003055 s: is_closed.Icc_subset_of_forall_exists_gt 0.000305 s: set.Ioi_subset_Ici_self 0.003424 s: sup_sdiff_left 0.009893 s: sup_sdiff_self_right 0.000703 s: sup_sdiff_self_left 0.000324 s: inf_sdiff_self_left 0.000140 s: sup_le_sup_right 0.012464 s: sdiff_le_iff 0.003116 s: set.diff_subset_iff 0.000230 s: set.union_eq_self_of_subset_left 0.002031 s: diff_subset_closure_iff 0.000362 s: set.mem_diff 0.001131 s: set.Ici_diff_left 0.000305 s: inf_sdiff_left 0.008569 s: sup_inf_inf_sdiff 0.009654 s: inf_sdiff_sup_left 0.000914 s: inf_sdiff_sup_right 0.012707 s: sdiff_sdiff_right 0.002855 s: sdiff_sdiff_right_self 0.001642 s: sdiff_sdiff_eq_self 0.001896 s: set.diff_diff_cancel_left 0.000619 s: set.Ici_diff_Ioi_same 0.010127 s: is_glb.frequently_mem 0.008385 s: is_glb.frequently_nhds_mem 0.000201 s: is_glb.mem_closure 0.004133 s: is_lub_Iio 0.000026 s: and.symm 0.000725 s: order_dual.densely_ordered 0.012163 s: is_glb_Ioi 0.003139 s: closure_Ioi' 0.001252 s: nhds_within_Ioi_ne_bot' 0.000150 s: nhds_within_Ioi_self_ne_bot' 0.002044 s: is_closed.Icc_subset_of_forall_mem_nhds_within 0.000102 s: imp_eq_of_eq_true_left 0.000069 s: set.union_is_comm 0.008323 s: is_preconnected_Icc 0.000210 s: is_preconnected_interval 0.001235 s: is_preconnected_iff_ord_connected 0.000140 s: set.ord_connected.is_preconnected 0.000138 s: set.ord_connected_univ 0.000193 s: ordered_connected_space 0.000137 s: filter.eventually.exists 0.000053 s: order_dual.nonempty 0.001460 s: filter.at_bot_ne_bot 0.000053 s: has_Sup_to_nonempty 0.000662 s: filter.mem_at_bot 0.000136 s: filter.eventually_le_at_bot 0.008722 s: continuous.surjective 0.001902 s: filter.tendsto_at_top 0.003094 s: filter.monotone_mem_sets 0.004317 s: filter.tendsto_at_top_mono' 0.004001 s: filter.tendsto.at_top_mul_at_top 0.000228 s: filter.tendsto_mul_self_at_top 0.001912 s: filter.order_bot.at_bot_eq 0.000774 s: filter.eventually_pure 0.068228 s: nnreal.sqrt._proof_2 0.012122 s: nnreal.sqrt 0.000253 s: real.sqrt 0.000198 s: complex.abs 0.000290 s: nnreal.coe_nonneg 0.000166 s: real.sqrt_nonneg 0.000110 s: complex.abs_nonneg 0.000104 s: real.sqrt.equations._eqn_1 0.002621 s: nnreal.sqrt_eq_iff_sqr_eq 0.002814 s: nnreal.sqrt_eq_zero 0.000097 s: nnreal.sqrt_zero 0.000630 s: real.sqrt_zero 0.000295 s: order_iso.le_iff_le 0.002292 s: real.sqrt_le 0.000707 s: real.sqrt_inj 0.000477 s: real.sqrt_eq_zero 0.016491 s: complex.norm_sq_nonneg 0.000361 s: complex.abs_eq_zero 0.000483 s: mul_self_le_mul_self 0.037725 s: nonneg_le_nonneg_of_squares_le 0.026322 s: mul_self_le_mul_self_iff 0.005717 s: order_iso.symm_apply_apply 0.002965 s: nnreal.mul_sqrt_self 0.000870 s: real.mul_self_sqrt 0.000152 s: complex.mul_self_abs 0.003046 s: add_mul_self_eq 0.006440 s: tactic.ring.horner_add_horner_gt 0.028474 s: complex.norm_sq_add 0.000027 s: real.semigroup 0.000226 s: complex.abs.equations._eqn_1 0.001782 s: complex.norm_sq_mul 0.026015 s: linear_ordered_comm_group_with_zero 0.004603 s: linear_ordered_comm_group_with_zero.le 0.003458 s: linear_ordered_comm_group_with_zero.lt 0.004701 s: linear_ordered_comm_group_with_zero.le_refl 0.003988 s: linear_ordered_comm_group_with_zero.le_trans 0.003636 s: linear_ordered_comm_group_with_zero.lt_iff_le_not_le 0.006509 s: linear_ordered_comm_group_with_zero.le_antisymm 0.005067 s: linear_ordered_comm_group_with_zero.le_total 0.004742 s: linear_ordered_comm_group_with_zero.decidable_le 0.003639 s: linear_ordered_comm_group_with_zero.decidable_eq 0.005025 s: linear_ordered_comm_group_with_zero.decidable_lt 0.003613 s: linear_ordered_comm_group_with_zero.mul 0.003802 s: linear_ordered_comm_group_with_zero.mul_assoc 0.004123 s: linear_ordered_comm_group_with_zero.one 0.003808 s: linear_ordered_comm_group_with_zero.one_mul 0.004317 s: linear_ordered_comm_group_with_zero.mul_one 0.004532 s: linear_ordered_comm_group_with_zero.npow 0.006910 s: linear_ordered_comm_group_with_zero.npow_zero' 0.005596 s: linear_ordered_comm_group_with_zero.npow_succ' 0.003923 s: linear_ordered_comm_group_with_zero.mul_comm 0.009093 s: linear_ordered_comm_group_with_zero.mul_le_mul_left 0.010753 s: linear_ordered_comm_group_with_zero.lt_of_mul_lt_mul_left 0.004427 s: linear_ordered_comm_group_with_zero.zero 0.004514 s: linear_ordered_comm_group_with_zero.zero_mul 0.004554 s: linear_ordered_comm_group_with_zero.mul_zero 0.020855 s: linear_ordered_comm_group_with_zero.zero_le_one 0.001924 s: linear_ordered_comm_group_with_zero.to_linear_ordered_comm_monoid_with_zero 0.001467 s: canonically_linear_ordered_add_monoid.to_canonically_ordered_add_monoid 0.017842 s: nnreal.linear_ordered_comm_group_with_zero._proof_1 0.006451 s: linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left._default 0.032415 s: nnreal.linear_ordered_comm_group_with_zero._proof_2 0.002390 s: nnreal.linear_ordered_comm_group_with_zero._proof_3 0.071101 s: nnreal.linear_ordered_comm_group_with_zero 0.011155 s: linear_ordered_comm_monoid.le_total 0.002252 s: linear_ordered_comm_monoid.decidable_le 0.001120 s: linear_ordered_comm_monoid.decidable_eq 0.002032 s: linear_ordered_comm_monoid.decidable_lt 0.000513 s: linear_ordered_comm_monoid.to_linear_order 0.014786 s: linear_ordered_comm_monoid_with_zero.zero_le_one 0.006705 s: zero_le_one' 0.006472 s: zero_le' 0.002839 s: le_zero_iff 0.013048 s: nnreal.of_real_eq_zero 0.012997 s: nnreal.of_real_mul 0.001698 s: mul_mul_mul_comm 0.003250 s: nnreal.sqrt_mul 0.000947 s: real.sqrt_mul 0.000396 s: complex.abs_mul 0.004698 s: complex.norm_sq_conj 0.000440 s: complex.abs_conj 0.014632 s: complex.re_sq_le_norm_sq 0.112336 s: complex.abs_re_le_abs 0.002015 s: complex.re_le_abs 0.088246 s: complex.abs_add 0.021981 s: complex.abs.is_absolute_value 0.001112 s: complex.sub_re 0.010427 s: complex.is_cau_seq_re 0.000198 s: complex.cau_seq_re 0.000994 s: complex.sub_im 0.013481 s: complex.im_sq_le_norm_sq 0.116627 s: complex.abs_im_le_abs 0.022950 s: complex.is_cau_seq_im 0.000181 s: complex.cau_seq_im 0.742578 s: complex.lim_aux 0.000046 s: complex.I 0.000088 s: complex.I_re 0.000056 s: complex.I_im 0.004342 s: complex.re_add_im 0.010826 s: real.sqrt_mul_self 0.006722 s: real.sqrt_mul_self_eq_abs 0.000725 s: complex.abs_of_real 0.004929 s: complex.norm_sq_I 0.006566 s: nnreal.of_real_one 0.002383 s: nnreal.sqrt_one 0.000967 s: real.sqrt_one 0.000337 s: complex.abs_I 0.001502 s: complex.abs_le_abs_re_add_abs_im 0.771392 s: complex.equiv_lim_aux 0.000427 s: complex.abs.cau_seq.is_complete._proof_1 0.000157 s: complex.abs.cau_seq.is_complete 0.000226 s: nat.factorial._main 0.000039 s: nat.factorial 0.322021 s: is_cau_series_of_abv_le_cau 0.015725 s: is_cau_series_of_abv_cau 0.000323 s: monoid_with_zero_hom.to_monoid_hom 0.006993 s: is_absolute_value.abv_pow 0.000692 s: local_ring 0.000118 s: local_ring.to_nontrivial 0.000207 s: units.is_unit 0.000786 s: is_unit.mk0 0.065830 s: field.local_ring 0.009302 s: neg_div 0.002139 s: neg_div_neg_eq 0.000262 s: lt_neg 0.000242 s: nat.pred_lt 0.002160 s: sub_nonpos 0.006806 s: forall_ge_le_of_forall_le_succ 0.003104 s: sub_add 0.458780 s: is_cau_of_decreasing_bounded 0.116038 s: is_cau_of_mono_bounded 0.000299 s: norm_num.nonneg_pos 0.018644 s: one_div_nonneg 0.084663 s: div_le_div_of_le 0.007719 s: add_neg_le_iff_le_add' 0.011546 s: sub_le_self_iff 0.000198 s: sub_le_self 0.000150 s: sub_le_sub_left 0.754339 s: is_cau_geo_series 0.163235 s: is_cau_geo_series_const 0.235182 s: series_ratio_test 0.005007 s: complex.abs_abs 0.000388 s: nat.factorial_succ 0.026890 s: div_mul_div 0.001527 s: div_div_eq_div_mul 0.004300 s: mul_div_right_comm 0.000192 s: complex.abs_div 0.006677 s: complex.of_real 0.004154 s: complex.of_real_nat_cast 0.004699 s: complex.abs_of_nonneg 0.006184 s: complex.abs_cast_nat 0.060098 s: div_le_div_of_le_left 1.122761 s: complex.is_cau_abs_exp 0.941179 s: complex.is_cau_exp 0.000439 s: complex.exp' 0.000058 s: complex.exp 0.000127 s: complex.cos 0.000053 s: real.cos 0.002279 s: intermediate_value_Icc' 0.000707 s: bit0_le_bit0 0.006296 s: norm_num.lt_one_bit0 0.000270 s: norm_num.le_one_bit0 0.000566 s: nondiscrete_normed_field 0.001831 s: normed_space 0.000098 s: nondiscrete_normed_field.to_normed_field 0.002131 s: continuous_linear_map 0.000590 s: normed_space.to_semimodule 0.000133 s: asymptotics.is_o 0.000589 s: continuous_linear_map.to_linear_map 0.000415 s: continuous_linear_map.linear_map.has_coe 0.000677 s: continuous_linear_map.to_fun 0.001002 s: has_fderiv_at_filter 0.000606 s: has_fderiv_at 0.000357 s: differentiable_at 0.000122 s: differentiable 0.000170 s: has_vadd 0.000051 s: has_vadd.vadd 0.000704 s: add_action 0.000182 s: has_vsub 0.000156 s: add_action.to_has_vadd 0.000058 s: has_vsub.vsub 0.001103 s: add_torsor 0.000198 s: add_torsor.nonempty 0.000074 s: add_monoid.to_add_action._proof_1 0.000062 s: add_monoid.to_add_action._proof_2 0.000718 s: add_monoid.to_add_action 0.000039 s: add_group_is_add_torsor._proof_1 0.001519 s: add_group_is_add_torsor 0.000236 s: asymptotics.is_o.equations._eqn_1 0.001290 s: asymptotics.is_O_with_congr 0.000209 s: asymptotics.is_O_with.congr' 0.000414 s: asymptotics.is_O_with.congr 0.000159 s: asymptotics.is_O_with.congr_const 0.007392 s: asymptotics.is_O_with.trans 0.050284 s: asymptotics.is_o.trans_is_O_with 0.005775 s: asymptotics.is_O_with_iff 0.000319 s: asymptotics.is_O_with.of_bound 0.000341 s: asymptotics.is_O_with.bound 0.005035 s: asymptotics.is_O_with.weaken 0.004652 s: asymptotics.is_O_with.exists_pos 0.000302 s: asymptotics.is_O_iff_is_O_with 0.000166 s: asymptotics.is_O.is_O_with 0.000557 s: asymptotics.is_O.exists_pos 0.000552 s: asymptotics.is_o.trans_is_O 0.000107 s: normed_ring.to_normed_group._proof_1 0.000155 s: normed_ring.to_normed_group._proof_2 0.000080 s: normed_ring.to_normed_group._proof_3 0.000213 s: normed_ring.to_normed_group._proof_4 0.000197 s: normed_ring.to_normed_group._proof_5 0.000423 s: normed_ring.to_normed_group._proof_6 0.000540 s: normed_ring.to_normed_group._proof_7 0.000113 s: normed_ring.to_normed_group._proof_8 0.001778 s: normed_ring.to_normed_group 0.000289 s: asymptotics.is_O_with.is_O 0.000242 s: norm_one_class 0.000072 s: norm_one_class.norm_one 0.000306 s: metric_space.eq_of_dist_eq_zero 0.000067 s: eq_of_dist_eq_zero 0.000181 s: dist_eq_zero 0.000840 s: norm_eq_zero 0.023942 s: normed_field.to_norm_one_class 0.035478 s: asymptotics.is_O_with_const_const 0.039006 s: asymptotics.is_O_with_const_one 0.000536 s: asymptotics.is_O_const_one 0.005247 s: asymptotics.is_O_const_const 0.001127 s: asymptotics.is_o_const_iff_is_o_one 0.000125 s: metric.closed_ball 0.010521 s: metric.mk_uniformity_basis_le 0.000580 s: metric.uniformity_basis_dist_le 0.000498 s: metric.nhds_basis_closed_ball 0.000172 s: metric.mem_closed_ball 0.005481 s: asymptotics.is_o_const_iff 0.002312 s: asymptotics.is_o_one_iff 0.043687 s: asymptotics.is_O_with.trans_is_o 0.006170 s: asymptotics.is_O.trans_is_o 0.002931 s: asymptotics.is_O.trans_tendsto 0.000770 s: asymptotics.is_O_congr 0.000220 s: asymptotics.is_O.congr' 0.000442 s: asymptotics.is_O.congr 0.000281 s: asymptotics.is_O.congr_left 0.002689 s: asymptotics.is_O_with.add 0.000840 s: asymptotics.is_O.add 0.000444 s: norm_neg 0.001015 s: asymptotics.is_O_with_neg_left 0.000577 s: asymptotics.is_O_neg_left 0.000241 s: asymptotics.is_O.neg_left 0.000946 s: asymptotics.is_O.sub 0.000704 s: asymptotics.is_O.congr_of_sub 0.000769 s: asymptotics.is_o_iff 0.000427 s: asymptotics.is_o.def' 0.003285 s: asymptotics.is_o.is_O_with 0.000573 s: asymptotics.is_o.is_O 0.001848 s: semi_normed_space 0.000505 s: semi_normed_space.to_semimodule 0.001633 s: asymptotics.is_O_with.comp_tendsto 0.000671 s: asymptotics.is_O.comp_tendsto 0.000398 s: asymptotics.is_O_with_of_le' 0.000231 s: asymptotics.is_O_of_le' 0.001051 s: metric.tendsto_nhds_nhds 0.001591 s: normed_group.tendsto_nhds_nhds 0.000211 s: nondiscrete_normed_field.non_trivial 0.000090 s: normed_field.exists_one_lt_norm 0.000183 s: sub_pos_of_lt 0.020471 s: le_of_forall_pos_le_add 0.244316 s: norm_image_of_norm_zero 0.000160 s: fpow._main 0.000024 s: fpow 0.000040 s: int.has_pow 0.106361 s: pow_unbounded_of_one_lt 0.000320 s: int.of_nat_nonneg 0.000924 s: fpow_neg_succ_of_nat 0.120703 s: inv_le_one 0.015310 s: one_le_pow_of_one_le 0.130328 s: fpow_le_of_le 0.000392 s: int.lt_succ 0.018622 s: fpow_neg 0.024079 s: le_inv 0.040146 s: inv_lt 0.055853 s: exists_int_pow_near 0.000302 s: ne.le_iff_lt 0.005957 s: dist_le_zero 0.001706 s: dist_pos 0.001806 s: norm_pos_iff 0.005954 s: monoid_with_zero_hom.map_fpow 0.000191 s: normed_field.norm_hom._proof_1 0.000155 s: normed_field.norm_hom._proof_2 0.007724 s: normed_field.norm_hom 0.038259 s: normed_field.norm_fpow 0.005055 s: semi_normed_space.norm_smul_le 0.000187 s: smul_smul 0.001881 s: units.inv_smul_smul 0.001609 s: inv_smul_smul' 0.051082 s: normed_field.norm_inv 0.075420 s: norm_smul 0.011798 s: fpow_zero 0.000897 s: fpow_coe_nat 0.000397 s: fpow_one 0.014933 s: fpow_add_one 0.005811 s: fpow_sub_one 0.007295 s: fpow_add 0.090807 s: fpow_pos_of_pos 0.401209 s: rescale_to_shell_semi_normed 0.044393 s: linear_map.bound_of_shell_semi_normed 0.008282 s: div_le_iff' 0.002717 s: one_div_div 0.124007 s: linear_map.bound_of_continuous 0.012944 s: continuous_linear_map.cont 0.005889 s: continuous_linear_map.bound 0.001951 s: continuous_linear_map.is_O_id 0.009326 s: continuous_linear_map.is_O_comp 0.002125 s: continuous_linear_map.is_O_sub 0.001162 s: normed_space.norm_smul_le 0.000754 s: normed_space.to_semi_normed_space 0.003309 s: has_fderiv_at_filter.is_O_sub 0.002801 s: has_fderiv_at_filter.tendsto_nhds 0.001252 s: has_fderiv_at.continuous_at 0.000916 s: differentiable_at.continuous_at 0.000468 s: differentiable.continuous 0.044204 s: real.nondiscrete_normed_field._proof_1 0.000069 s: real.nondiscrete_normed_field 0.021503 s: normed_field.to_normed_space._proof_1 0.009262 s: normed_field.to_normed_space 0.000789 s: is_scalar_tower 0.000680 s: has_continuous_smul 0.002268 s: linear_map.smul_right._proof_1 0.000268 s: is_scalar_tower.smul_assoc 0.000215 s: smul_assoc 0.002001 s: linear_map.smul_right._proof_2 0.001998 s: linear_map.smul_right 0.001825 s: continuous_linear_map.smul_right._proof_1 0.002020 s: continuous_linear_map.smul_right._proof_2 0.000289 s: has_continuous_smul.continuous_smul 0.000644 s: continuous.smul 0.001133 s: continuous_linear_map.smul_right._proof_3 0.003702 s: continuous_linear_map.smul_right 0.000705 s: is_scalar_tower.left 0.010653 s: has_deriv_at_filter._proof_1 0.001813 s: smul_neg 0.000813 s: smul_sub 0.000100 s: module 0.006255 s: neg_smul 0.005885 s: sub_smul 0.090848 s: semi_normed_space.has_continuous_smul 0.011413 s: has_deriv_at_filter._proof_2 0.000135 s: linear_map.id._proof_1 0.000365 s: linear_map.id._proof_2 0.002005 s: linear_map.id 0.000649 s: continuous_linear_map.id 0.000219 s: continuous_linear_map.has_one 0.013670 s: has_deriv_at_filter 0.000177 s: has_deriv_at 0.002791 s: has_fderiv_at.differentiable_at 0.012261 s: has_deriv_at.differentiable_at 0.000131 s: complex.sin 0.000039 s: real.sin 0.001369 s: normed_group.core 0.001544 s: semi_normed_group.core 0.000301 s: semi_normed_group.core.norm_zero 0.003711 s: semi_normed_group.of_core._proof_1 0.000319 s: semi_normed_group.core.norm_neg 0.000506 s: semi_normed_group.of_core._proof_2 0.000372 s: semi_normed_group.core.triangle 0.000513 s: semi_normed_group.of_core._proof_3 0.000152 s: semi_normed_group.of_core._proof_4 0.000696 s: semi_normed_group.of_core._proof_5 0.000638 s: semi_normed_group.of_core._proof_6 0.000300 s: semi_normed_group.of_core._proof_7 0.002002 s: semi_normed_group.of_core._proof_8 0.003263 s: semi_normed_group.of_core._proof_9 0.002552 s: semi_normed_group.of_core 0.000414 s: normed_group.core.norm_eq_zero_iff 0.000265 s: normed_group.core.triangle 0.000186 s: normed_group.core.norm_neg 0.000346 s: normed_group.core.to_semi_normed_group.core 0.000610 s: normed_group.of_core._proof_1 0.000146 s: normed_group.of_core._proof_2 0.000488 s: normed_group.of_core 0.000027 s: complex.has_norm 0.001684 s: complex.abs_neg 0.007439 s: complex.normed_group._proof_1 0.000058 s: complex.normed_group 0.000072 s: complex.normed_field._proof_1 0.024645 s: complex.normed_field 0.009729 s: complex.of_real_bit0 0.024538 s: complex.abs_two 0.014799 s: complex.nondiscrete_normed_field._proof_1 0.000055 s: complex.nondiscrete_normed_field 0.000146 s: complex.has_scalar 0.006770 s: complex.smul_re 0.003247 s: complex.smul_im 0.000729 s: complex.mul_action._proof_1 0.000745 s: complex.mul_action._proof_2 0.000255 s: complex.mul_action 0.003714 s: complex.distrib_mul_action._proof_1 0.002579 s: complex.distrib_mul_action._proof_2 0.000359 s: complex.distrib_mul_action 0.015217 s: complex.semimodule._proof_1 0.019720 s: complex.semimodule._proof_2 0.017936 s: complex.semimodule 0.002517 s: linear_isometry 0.003253 s: linear_isometry.to_linear_map 0.000496 s: linear_isometry.has_coe_to_fun 0.000082 s: isometry 0.000264 s: lipschitz_with.continuous 0.000339 s: isometry.lipschitz 0.000168 s: isometry.continuous 0.000635 s: ennreal.to_real_of_real 0.000280 s: dist_edist 0.001534 s: isometry_emetric_iff_metric 0.000737 s: add_monoid_hom.map_add_neg 0.000772 s: add_monoid_hom.map_sub 0.001784 s: add_monoid_hom.isometry_iff_norm 0.000590 s: add_monoid_hom.isometry_of_norm 0.000686 s: linear_map.to_add_monoid_hom 0.001048 s: linear_isometry.norm_map' 0.001199 s: linear_isometry.norm_map 0.008523 s: linear_isometry.isometry 0.001660 s: linear_isometry.continuous 0.000856 s: linear_isometry.to_continuous_linear_map 0.001234 s: algebra 0.000256 s: algebra.to_has_scalar 0.000275 s: algebra.to_ring_hom 0.000072 s: algebra_map 0.000632 s: algebra.smul_def' 0.000835 s: algebra.smul_def'' 0.003346 s: algebra.to_semimodule._proof_1 0.002678 s: algebra.to_semimodule._proof_2 0.014053 s: algebra.to_semimodule._proof_3 0.012260 s: algebra.to_semimodule._proof_4 0.023586 s: algebra.to_semimodule._proof_5 0.028032 s: algebra.to_semimodule._proof_6 0.015017 s: algebra.to_semimodule 0.000395 s: ring_hom.to_algebra'._proof_1 0.001225 s: ring_hom.to_algebra' 0.000267 s: ring_hom.to_algebra._proof_1 0.000994 s: ring_hom.to_algebra 0.000072 s: algebra.id 0.004121 s: algebra.smul_def 0.000759 s: algebra.id.map_eq_self 0.000447 s: complex.algebra._proof_1 0.000399 s: complex.algebra._proof_2 0.000322 s: complex.algebra._proof_3 0.000233 s: complex.algebra._proof_4 0.000490 s: ring_hom.to_fun_eq_coe 0.001026 s: ring_hom.coe_comp 0.000367 s: complex.of_real_eq_coe 0.000650 s: algebra.commutes' 0.000638 s: algebra.commutes 0.033147 s: complex.algebra._match_1 0.023908 s: complex.algebra._proof_5 0.033588 s: complex.algebra._proof_6 0.026092 s: complex.algebra 0.040445 s: complex.coe_algebra_map 0.000273 s: complex.of_real_inj 0.000268 s: complex.of_real_eq_zero 0.060863 s: complex.of_real_lm._proof_1 0.015057 s: complex.of_real_lm 0.004146 s: complex.of_real_lm_coe 0.002732 s: complex.norm_real 0.107943 s: complex.of_real_li._proof_1 0.110336 s: complex.of_real_li 0.175948 s: complex.of_real_clm 0.017925 s: continuous_linear_map.comp._proof_1 0.002981 s: continuous_linear_map.comp 0.000130 s: semi_normed_comm_ring.to_comm_ring._proof_1 0.000095 s: semi_normed_comm_ring.to_comm_ring._proof_2 0.000091 s: semi_normed_comm_ring.to_comm_ring._proof_3 0.000703 s: semi_normed_comm_ring.to_comm_ring._proof_4 0.000226 s: semi_normed_comm_ring.to_comm_ring._proof_5 0.000611 s: semi_normed_comm_ring.to_comm_ring._proof_6 0.000602 s: semi_normed_comm_ring.to_comm_ring._proof_7 0.000111 s: semi_normed_comm_ring.to_comm_ring._proof_8 0.000080 s: semi_normed_comm_ring.to_comm_ring._proof_9 0.000181 s: semi_normed_comm_ring.to_comm_ring._proof_10 0.000127 s: semi_normed_comm_ring.to_comm_ring._proof_11 0.000248 s: semi_normed_comm_ring.to_comm_ring._proof_12 0.000293 s: semi_normed_comm_ring.to_comm_ring._proof_13 0.000122 s: semi_normed_comm_ring.to_comm_ring._proof_14 0.000127 s: semi_normed_comm_ring.to_comm_ring._proof_15 0.000258 s: semi_normed_comm_ring.mul_comm 0.002417 s: semi_normed_comm_ring.to_comm_ring 0.001489 s: normed_algebra 0.000200 s: normed_ring.to_semi_normed_ring 0.001237 s: semi_normed_algebra 0.000404 s: semi_normed_algebra.to_algebra 0.000979 s: semi_normed_algebra.norm_algebra_map_eq 0.000469 s: norm_algebra_map_eq 0.004814 s: semi_normed_algebra.to_semi_normed_space._proof_1 0.023146 s: semi_normed_algebra.to_semi_normed_space 0.000463 s: normed_algebra.to_algebra 0.002264 s: normed_algebra.norm_algebra_map_eq 0.001345 s: normed_algebra.to_semi_normed_algebra 0.002299 s: normed_algebra.to_normed_space._proof_1 0.006279 s: normed_algebra.to_normed_space 0.069989 s: complex.normed_algebra._proof_1 0.122731 s: complex.normed_algebra 0.000317 s: normed_algebra.id._proof_1 0.000291 s: normed_algebra.id._proof_2 0.041415 s: normed_algebra.id._proof_3 0.021458 s: normed_algebra.id 0.000326 s: lipschitz_with.equations._eqn_1 0.000458 s: dist_nndist 0.004098 s: lipschitz_with_iff_dist_le_mul 0.000507 s: lipschitz_with.of_dist_le_mul 0.000525 s: nnreal.le_coe_of_real 0.005693 s: lipschitz_with.of_dist_le' 0.007188 s: linear_map.map_sub 0.002447 s: linear_map.lipschitz_of_bound 0.001782 s: linear_map.continuous_of_bound 0.001749 s: linear_map.mk_continuous 0.014622 s: complex.smul_coe 0.021172 s: complex.re_lm._proof_1 0.008518 s: complex.re_lm 0.004648 s: complex.re_lm_coe 0.002261 s: real.norm_eq_abs 0.001413 s: complex.norm_eq_abs 0.156522 s: complex.re_clm._proof_1 0.294092 s: complex.re_clm 0.007476 s: linear_map.compatible_smul 0.001205 s: linear_map.compatible_smul.map_smul 0.000574 s: linear_map.map_smul_of_tower 0.001138 s: linear_map.restrict_scalars._proof_1 0.001602 s: linear_map.restrict_scalars 0.001319 s: continuous_linear_map.continuous 0.000677 s: continuous_linear_map.restrict_scalars._proof_1 0.002163 s: continuous_linear_map.restrict_scalars 0.000563 s: smul_one_smul 0.002771 s: linear_map.is_scalar_tower.compatible_smul._proof_1 0.001330 s: linear_map.is_scalar_tower.compatible_smul 0.000015 s: restrict_scalars 0.000044 s: restrict_scalars.add_comm_monoid 0.002780 s: mul_action_with_zero.comp_hom._proof_1 0.002526 s: mul_action_with_zero.comp_hom._proof_2 0.000486 s: zero_hom 0.000102 s: zero_hom.to_fun 0.000069 s: zero_hom.has_coe_to_fun 0.000346 s: smul_with_zero.smul_zero 0.000086 s: smul_zero' 0.000992 s: 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s: restrict_scalars.module_orig 0.000343 s: restrict_scalars.semimodule 0.007235 s: module.complex_to_real 0.004870 s: restrict_scalars.is_scalar_tower 0.013720 s: module.real_complex_tower 0.064383 s: complex.of_real_clm_apply 0.012500 s: continuous_linear_map.coe_comp' 0.003445 s: continuous_linear_map.coe_restrict_scalars' 0.003151 s: continuous_linear_map.smul_right_apply 0.001166 s: continuous_linear_map.one_apply 0.058908 s: complex.re_clm_apply 0.024261 s: has_deriv_at_filter.equations._eqn_1 0.003197 s: continuous_linear_map.cases_on 0.002276 s: continuous_linear_map.coe_injective 0.000884 s: continuous_linear_map.coe_inj 0.002026 s: linear_map.cases_on 0.002869 s: linear_map.coe_injective 0.000727 s: linear_map.ext 0.000563 s: smul_eq_mul 0.003044 s: linear_map.ext_ring 0.002209 s: continuous_linear_map.ext_ring 0.001844 s: continuous_linear_map.map_smul_of_tower 0.010217 s: continuous_linear_map.smul_right_one_one 0.016285 s: has_fderiv_at_filter_iff_has_deriv_at_filter 0.006367 s: has_fderiv_at_iff_has_deriv_at 0.002598 s: has_fderiv_at.has_deriv_at 0.000520 s: asymptotics.is_o_iff_forall_is_O_with 0.000214 s: asymptotics.is_o.of_is_O_with 0.000220 s: asymptotics.is_o.forall_is_O_with 0.000467 s: asymptotics.is_o.comp_tendsto 0.000194 s: filter.tendsto_map 0.000723 s: asymptotics.is_o_congr 0.000241 s: asymptotics.is_o.congr' 0.000951 s: asymptotics.is_o.congr 0.000252 s: asymptotics.is_o.congr_left 0.010166 s: asymptotics.is_o.add 0.001570 s: asymptotics.is_o.triangle 0.001851 s: continuous_linear_map.map_sub 0.012561 s: has_fderiv_at_filter.comp 0.001085 s: asymptotics.is_O_with.mono 0.000476 s: asymptotics.is_o.mono 0.001684 s: has_fderiv_at_filter.mono 0.004253 s: has_fderiv_at.comp 0.000461 s: asymptotics.is_o.of_bound 0.007983 s: asymptotics.is_o_zero 0.003483 s: continuous_linear_map.has_fderiv_at_filter 0.001525 s: continuous_linear_map.has_fderiv_at 0.005695 s: has_fderiv_at.restrict_scalars 0.013332 s: has_deriv_at_iff_has_fderiv_at 0.027133 s: has_deriv_at.has_fderiv_at 0.381743 s: has_deriv_at.real_of_complex 0.001515 s: has_strict_fderiv_at 0.009557 s: has_strict_deriv_at._proof_1 0.001002 s: has_strict_deriv_at._proof_2 0.012388 s: has_strict_deriv_at 0.002371 s: has_fderiv_at.equations._eqn_1 0.002181 s: has_fderiv_at_filter.equations._eqn_1 0.006076 s: has_strict_fderiv_at.has_fderiv_at 0.014796 s: has_strict_deriv_at.has_deriv_at 0.000300 s: complex.sin.equations._eqn_1 0.004272 s: linear_map.has_add._proof_1 0.002855 s: linear_map.has_add._proof_2 0.001222 s: linear_map.has_add 0.001840 s: continuous_linear_map.has_add._proof_1 0.001449 s: continuous_linear_map.has_add 0.000536 s: smul_comm_class 0.001103 s: linear_map.has_scalar._proof_1 0.000160 s: smul_comm_class.smul_comm 0.001370 s: linear_map.has_scalar._proof_2 0.001098 s: linear_map.has_scalar 0.009244 s: continuous_linear_map.has_scalar._proof_1 0.005851 s: continuous_linear_map.has_scalar 0.003525 s: algebra_compatible_smul 0.003104 s: 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0.000715 s: prod.fst_sub 0.000599 s: prod.snd_sub 0.001339 s: prod.semi_normed_group._proof_1 0.002369 s: prod.semi_normed_group 0.000185 s: prod.metric_space_max._proof_1 0.000185 s: prod.metric_space_max._proof_2 0.000214 s: prod.metric_space_max._proof_3 0.000196 s: prod.metric_space_max._proof_4 0.000550 s: prod.metric_space_max._proof_5 0.002118 s: prod.metric_space_max._proof_6 0.000890 s: prod.metric_space_max 0.000272 s: prod.normed_group._proof_1 0.002461 s: prod.normed_group 0.000155 s: prod.add_comm_monoid._proof_1 0.000237 s: prod.add_comm_monoid._proof_2 0.000110 s: prod.add_comm_monoid._proof_3 0.000463 s: prod.add_comm_monoid._proof_4 0.000363 s: prod.add_comm_monoid._proof_5 0.000198 s: prod.add_comm_monoid._proof_6 0.003058 s: prod.add_comm_monoid 0.000277 s: prod.has_scalar 0.001005 s: prod.mul_action._match_1 0.000171 s: prod.mul_action._proof_1 0.000936 s: prod.mul_action._proof_2 0.000420 s: prod.mul_action 0.002584 s: prod.distrib_mul_action._proof_1 0.001385 s: 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is_bounded_bilinear_map.map_sub_left 0.003811 s: is_bounded_bilinear_map_deriv_coe 0.000111 s: metric_space.induced._proof_1 0.000129 s: metric_space.induced._proof_2 0.000130 s: metric_space.induced._proof_3 0.000296 s: metric_space.induced._proof_4 0.000503 s: metric_space.induced._proof_5 0.001340 s: metric_space.induced._proof_6 0.000773 s: metric_space.induced 0.002113 s: int.cast_eq_zero 0.006145 s: int.cast_inj 0.000308 s: int.cast_injective 0.018909 s: int.metric_space._proof_1 0.000061 s: emetric_space.to_uniform_space' 0.000313 s: metric.metric_space.to_emetric_space._proof_1 0.000100 s: metric.metric_space.to_emetric_space._proof_2 0.000263 s: metric.metric_space.to_emetric_space._proof_3 0.004099 s: metric.metric_space.to_emetric_space._proof_4 0.001314 s: ennreal.of_real_eq_zero 0.001277 s: metric.metric_space.to_emetric_space._proof_5 0.000552 s: metric.metric_space.to_emetric_space 0.001775 s: metric_space.replace_uniformity._proof_1 0.001276 s: metric_space.replace_uniformity._proof_2 0.001254 s: metric_space.replace_uniformity._proof_3 0.001246 s: metric_space.replace_uniformity._proof_4 0.001408 s: metric_space.replace_uniformity._proof_5 0.001680 s: metric_space.replace_uniformity 0.000044 s: int.uniform_space 0.037463 s: int.cast_mono 0.057839 s: int.cast_max 0.027564 s: int.cast_abs 0.010413 s: int.lt_add_one_iff 0.000266 s: int.coe_nat_one 0.001760 s: strict_mono_of_le_iff_le 0.003633 s: int.cast_strict_mono 0.000757 s: int.cast_lt 0.240108 s: int.metric_space._proof_2 0.000316 s: int.metric_space 0.025165 s: int.dist_eq 0.009307 s: int.normed_comm_ring._proof_1 0.059376 s: int.normed_comm_ring._proof_2 0.001244 s: int.normed_comm_ring 0.000228 s: continuous_linear_map.add_comm_group._proof_1 0.000198 s: function.injective.comp 0.011015 s: continuous_linear_map.coe_fn_injective 0.001213 s: continuous_linear_map.ext 0.002818 s: continuous_linear_map.add_comm_monoid._proof_1 0.000710 s: linear_map.has_zero._proof_1 0.001851 s: linear_map.has_zero._proof_2 0.000820 s: linear_map.has_zero 0.000178 s: continuous_linear_map.has_zero._proof_1 0.000732 s: continuous_linear_map.has_zero 0.002862 s: continuous_linear_map.add_comm_monoid._proof_2 0.001765 s: continuous_linear_map.add_comm_monoid._proof_3 0.001300 s: continuous_linear_map.map_add 0.001985 s: continuous_linear_map.add_comm_monoid._proof_4 0.001671 s: continuous_linear_map.map_smul 0.005847 s: add_comm_monoid.nat_smul_comm_class 0.002097 s: continuous_linear_map.add_comm_monoid._proof_5 0.002779 s: continuous_linear_map.continuous_nsmul 0.000489 s: continuous_linear_map.continuous.nsmul 0.001313 s: continuous_linear_map.add_comm_monoid._proof_6 0.001429 s: continuous_linear_map.coe_mk' 0.002413 s: linear_map.coe_mk 0.001762 s: continuous_linear_map.zero_apply 0.016127 s: continuous_linear_map.add_comm_monoid._proof_7 0.025420 s: continuous_linear_map.add_comm_monoid._proof_8 0.010620 s: continuous_linear_map.add_comm_monoid._proof_9 0.007712 s: continuous_linear_map.add_comm_monoid 0.007476 s: continuous_linear_map.add_comm_group._proof_2 0.004547 s: continuous_linear_map.add_comm_group._proof_3 0.004285 s: continuous_linear_map.add_comm_group._proof_4 0.000127 s: continuous_linear_map.add_comm_group._proof_5 0.006221 s: continuous_linear_map.add_comm_group._proof_6 0.004828 s: continuous_linear_map.add_comm_group._proof_7 0.005232 s: linear_map.has_neg._proof_1 0.005566 s: linear_map.has_neg._proof_2 0.001265 s: linear_map.has_neg 0.001008 s: continuous_linear_map.has_neg._proof_1 0.001635 s: continuous_linear_map.has_neg 0.007822 s: linear_map.has_sub._proof_1 0.004907 s: linear_map.has_sub._proof_2 0.001040 s: linear_map.has_sub 0.000412 s: continuous.sub 0.001642 s: continuous_linear_map.has_sub._proof_1 0.001498 s: continuous_linear_map.has_sub 0.011305 s: continuous_linear_map.add_comm_group._proof_8 0.015798 s: continuous_linear_map.add_comm_group._proof_9 0.006930 s: continuous_linear_map.add_comm_group._proof_10 0.010238 s: continuous_linear_map.add_comm_group 0.000137 s: continuous_linear_map.to_normed_group._proof_1 0.002434 s: continuous_linear_map.op_norm 0.000790 s: continuous_linear_map.has_op_norm 0.001371 s: norm_le_zero_iff 0.002290 s: continuous_linear_map.bounds_nonempty 0.002114 s: continuous_linear_map.bounds_bdd_below 0.020466 s: continuous_linear_map.le_op_norm 0.004668 s: continuous_linear_map.op_norm_nonneg 0.019053 s: continuous_linear_map.op_norm_zero_iff 0.004417 s: continuous_linear_map.op_norm_le_bound 0.001192 s: continuous_linear_map.map_zero 0.000276 s: lipschitz_with.dist_le_mul 0.008938 s: continuous_linear_map.op_norm_le_of_lipschitz 0.004089 s: continuous_linear_map.lipschitz 0.010138 s: continuous_linear_map.op_norm_add_le 0.002548 s: continuous_linear_map.norm_def 0.001626 s: continuous_linear_map.neg_apply 0.002857 s: continuous_linear_map.op_norm_neg 0.018285 s: continuous_linear_map.to_normed_group._proof_2 0.002489 s: continuous_linear_map.to_normed_group 0.000806 s: asymptotics.is_O_iff 0.000384 s: asymptotics.is_O.of_bound 0.004869 s: is_bounded_bilinear_map.is_O 0.008440 s: is_bounded_bilinear_map.is_O_comp 0.008193 s: continuous_linear_map.semimodule._proof_1 0.006762 s: continuous_linear_map.semimodule._proof_2 0.022926 s: continuous_linear_map.semimodule._proof_3 0.022942 s: continuous_linear_map.semimodule._proof_4 0.031177 s: continuous_linear_map.semimodule._proof_5 0.030290 s: continuous_linear_map.semimodule._proof_6 0.021745 s: continuous_linear_map.semimodule 0.005052 s: continuous_linear_map.to_normed_space._proof_1 0.000162 s: continuous_linear_map.to_normed_space._proof_2 0.016994 s: continuous_linear_map.op_norm_smul_le 0.006247 s: continuous_linear_map.to_normed_space._proof_3 0.015195 s: continuous_linear_map.to_normed_space 0.000606 s: continuous_linear_map.inhabited 0.063215 s: is_bounded_bilinear_map_apply 0.049786 s: asymptotics.is_O_with.mul 0.049138 s: asymptotics.is_o.mul_is_O 0.007815 s: asymptotics.is_o_norm_left 0.000306 s: asymptotics.is_o.norm_left 0.003061 s: normed_linear_ordered_field 0.000350 s: normed_linear_ordered_field.to_has_norm 0.000262 s: real.normed_linear_ordered_field._proof_1 0.158857 s: real.normed_linear_ordered_field 0.017807 s: is_linear_map 0.003828 s: is_bounded_linear_map 0.000613 s: is_bounded_linear_map.bound 0.001402 s: is_bounded_linear_map.is_O_id 0.006683 s: is_linear_map.with_bound 0.001125 s: continuous_linear_map.inl 0.000624 s: continuous_linear_map.inr 0.000531 s: linear_map.inl 0.000432 s: linear_map.inr 0.002934 s: linear_equiv 0.001153 s: linear_map.add_apply 0.002518 s: linear_map.add_comm_monoid._proof_1 0.000707 s: linear_map.zero_apply 0.001626 s: linear_map.add_comm_monoid._proof_2 0.001754 s: linear_map.add_comm_monoid._proof_3 0.001511 s: linear_map.add_comm_monoid._proof_4 0.001370 s: linear_map.add_comm_monoid._proof_5 0.014365 s: linear_map.add_comm_monoid._proof_6 0.012763 s: linear_map.add_comm_monoid._proof_7 0.005461 s: linear_map.add_comm_monoid._proof_8 0.006996 s: linear_map.add_comm_monoid 0.002623 s: linear_map.distrib_mul_action._proof_1 0.001571 s: linear_map.distrib_mul_action._proof_2 0.005832 s: linear_map.distrib_mul_action._proof_3 0.004723 s: linear_map.distrib_mul_action._proof_4 0.003258 s: linear_map.distrib_mul_action 0.004936 s: linear_map.semimodule._proof_1 0.003962 s: linear_map.semimodule._proof_2 0.002184 s: linear_map.semimodule 0.000404 s: add_comm_monoid.nat_smul_comm_class' 0.001000 s: linear_equiv.to_fun 0.000240 s: linear_equiv.has_coe_to_fun 0.001359 s: linear_map.inverse._proof_1 0.001606 s: linear_map.inverse._proof_2 0.001319 s: linear_map.inverse 0.001489 s: linear_equiv.map_add' 0.001471 s: linear_equiv.map_smul' 0.000624 s: linear_equiv.to_linear_map 0.000840 s: linear_equiv.inv_fun 0.001390 s: linear_equiv.left_inv 0.000949 s: linear_equiv.right_inv 0.001744 s: linear_equiv.symm._proof_1 0.001806 s: linear_equiv.symm._proof_2 0.000769 s: linear_equiv.to_add_equiv 0.000350 s: linear_equiv.to_equiv 0.000250 s: linear_equiv.symm._proof_3 0.000209 s: linear_equiv.symm._proof_4 0.002384 s: linear_equiv.symm 0.000145 s: linear_map.fst._proof_1 0.000618 s: linear_map.fst._proof_2 0.003165 s: linear_map.fst 0.000163 s: linear_map.snd._proof_1 0.000538 s: linear_map.snd._proof_2 0.002721 s: linear_map.snd 0.000973 s: linear_map.coprod 0.000245 s: prod.fst_add 0.000262 s: prod.snd_add 0.003214 s: linear_map.coprod_apply 0.007551 s: linear_map.coprod_equiv._proof_1 0.001831 s: linear_map.smul_apply 0.012928 s: linear_map.coprod_equiv._proof_2 0.002813 s: linear_map.comp_apply 0.002053 s: linear_map.inl_apply 0.004324 s: linear_map.coprod_inl 0.001540 s: linear_map.inr_apply 0.003439 s: linear_map.coprod_inr 0.002428 s: linear_map.coprod_equiv._proof_3 0.007887 s: linear_map.comp_coprod 0.001004 s: linear_map.id_apply 0.004920 s: linear_map.coprod_inl_inr 0.001563 s: linear_map.comp_id 0.003541 s: linear_map.coprod_equiv._proof_4 0.005558 s: linear_map.coprod_equiv 0.000942 s: linear_equiv.injective 0.006718 s: linear_map.prod_ext_iff 0.014541 s: continuous_linear_map.prod_ext_iff 0.004715 s: continuous_linear_map.prod_ext 0.002891 s: continuous_linear_map.inl_apply 0.003351 s: continuous_linear_map.add_comp 0.002573 s: continuous_linear_map.inr_apply 0.009952 s: continuous_linear_map.smul_comp 0.154733 s: is_bounded_bilinear_map.is_bounded_linear_map_deriv 0.015642 s: prod.has_continuous_add 0.002771 s: continuous.prod_map 0.004708 s: prod.topological_add_group 0.001741 s: asymptotics.is_O_with_of_le 0.000376 s: asymptotics.is_O_with_refl 0.000150 s: asymptotics.is_O_refl 0.000214 s: asymptotics.is_O.of_norm_right 0.000895 s: asymptotics.is_O_with_const_mul_self 0.000229 s: asymptotics.is_O_const_mul_self 0.001107 s: asymptotics.is_o_norm_right 0.001319 s: asymptotics.is_O_with.exists_nonneg 0.000592 s: asymptotics.is_O.exists_nonneg 0.001065 s: asymptotics.is_O.trans 0.001416 s: asymptotics.is_O.mul 0.000309 s: asymptotics.is_O.norm_norm 0.002120 s: asymptotics.is_O_with_fst_prod 0.000461 s: asymptotics.is_O_fst_prod 0.001630 s: asymptotics.is_O_fst_prod' 0.001238 s: asymptotics.is_O_with_snd_prod 0.000403 s: asymptotics.is_O_snd_prod 0.001144 s: asymptotics.is_O_snd_prod' 0.003307 s: is_bounded_bilinear_map.is_O' 0.043145 s: asymptotics.is_O.mul_is_o 0.121037 s: is_bounded_bilinear_map.has_strict_fderiv_at 0.016507 s: asymptotics.is_O_with.prod_left_same 0.001022 s: asymptotics.is_o.prod_left 0.060692 s: has_strict_fderiv_at.prod 0.096399 s: has_strict_fderiv_at.smul 0.114068 s: has_strict_deriv_at.smul 0.022257 s: has_strict_deriv_at.mul 0.005233 s: has_strict_fderiv_at_const 0.004679 s: has_strict_deriv_at_const 0.004094 s: has_strict_deriv_at.mul_const 0.018086 s: has_strict_fderiv_at.add 0.028164 s: has_strict_deriv_at.add 0.044842 s: has_strict_deriv_at.scomp 0.010581 s: has_strict_deriv_at.comp 0.139752 s: is_R_or_C 0.033494 s: is_R_or_C.to_nondiscrete_normed_field 0.009027 s: multilinear_map 0.000179 s: Pi.topological_space 0.001318 s: multilinear_map.to_fun 0.002694 s: continuous_multilinear_map 0.000706 s: formal_multilinear_series 0.001081 s: continuous_multilinear_map.to_multilinear_map 0.000969 s: continuous_multilinear_map.has_coe_to_fun 0.002478 s: continuous_multilinear_map.uncurry0 0.001012 s: has_fderiv_within_at 0.005803 s: function.injective.add_comm_group._proof_1 0.004372 s: function.injective.add_comm_group._proof_2 0.005201 s: function.injective.add_comm_group._proof_3 0.004705 s: function.injective.add_comm_group._proof_4 0.004354 s: function.injective.add_comm_group._proof_5 0.000627 s: function.injective.sub_neg_add_monoid._proof_1 0.000351 s: function.injective.sub_neg_add_monoid._proof_2 0.000270 s: function.injective.sub_neg_add_monoid._proof_3 0.000946 s: function.injective.sub_neg_add_monoid._proof_4 0.000629 s: function.injective.sub_neg_add_monoid._proof_5 0.002317 s: function.injective.sub_neg_add_monoid._proof_6 0.001902 s: function.injective.sub_neg_add_monoid 0.000566 s: function.injective.add_group._proof_1 0.000512 s: function.injective.add_group._proof_2 0.000483 s: function.injective.add_group._proof_3 0.000627 s: function.injective.add_group._proof_4 0.000679 s: function.injective.add_group._proof_5 0.000819 s: function.injective.add_group._proof_6 0.002669 s: function.injective.add_group._proof_7 0.003661 s: function.injective.add_group 0.001370 s: function.injective.add_comm_group._proof_6 0.001336 s: function.injective.add_comm_group._proof_7 0.006331 s: function.injective.add_comm_group._proof_8 0.016408 s: function.injective.add_comm_group 0.002515 s: multilinear_map.has_coe_to_fun 0.002691 s: multilinear_map.map_add' 0.002371 s: multilinear_map.map_add 0.003215 s: multilinear_map.has_add._proof_1 0.002319 s: multilinear_map.map_smul' 0.002249 s: multilinear_map.map_smul 0.003836 s: multilinear_map.has_add._proof_2 0.001991 s: multilinear_map.has_add 0.001520 s: continuous_multilinear_map.cont 0.002839 s: continuous_multilinear_map.has_add._proof_1 0.002178 s: continuous_multilinear_map.has_add 0.000109 s: continuous_multilinear_map.add_comm_group._proof_1 0.000410 s: multilinear_map.has_zero._proof_1 0.000992 s: multilinear_map.has_zero._proof_2 0.000753 s: multilinear_map.has_zero 0.002049 s: continuous_multilinear_map.has_zero._proof_1 0.002573 s: continuous_multilinear_map.has_zero._proof_2 0.000281 s: continuous_multilinear_map.has_zero._proof_3 0.002167 s: continuous_multilinear_map.has_zero 0.006409 s: multilinear_map.has_neg._proof_1 0.005754 s: multilinear_map.has_neg._proof_2 0.002086 s: multilinear_map.has_neg 0.001811 s: continuous_multilinear_map.has_neg._proof_1 0.001915 s: continuous_multilinear_map.has_neg._proof_2 0.001569 s: continuous_multilinear_map.has_neg._proof_3 0.004909 s: continuous_multilinear_map.has_neg 0.005631 s: multilinear_map.has_sub._proof_1 0.006485 s: multilinear_map.has_sub._proof_2 0.002542 s: multilinear_map.has_sub 0.002746 s: continuous_multilinear_map.has_sub._proof_1 0.002937 s: continuous_multilinear_map.has_sub._proof_2 0.002968 s: continuous_multilinear_map.has_sub._proof_3 0.004285 s: continuous_multilinear_map.has_sub 0.002107 s: multilinear_map.cases_on 0.003767 s: multilinear_map.coe_inj 0.001361 s: multilinear_map.ext 0.001694 s: multilinear_map.add_apply 0.003996 s: multilinear_map.add_comm_monoid._proof_1 0.001438 s: multilinear_map.zero_apply 0.003068 s: multilinear_map.add_comm_monoid._proof_2 0.003358 s: multilinear_map.add_comm_monoid._proof_3 0.002655 s: multilinear_map.add_comm_monoid._proof_4 0.002942 s: multilinear_map.add_comm_monoid._proof_5 0.002608 s: multilinear_map.coe_mk 0.019753 s: multilinear_map.add_comm_monoid._proof_6 0.026710 s: multilinear_map.add_comm_monoid._proof_7 0.012694 s: multilinear_map.add_comm_monoid._proof_8 0.012324 s: multilinear_map.add_comm_monoid 0.002841 s: multilinear_map.add_comm_group._proof_1 0.001505 s: multilinear_map.add_comm_group._proof_2 0.000749 s: multilinear_map.add_comm_group._proof_3 0.000947 s: multilinear_map.add_comm_group._proof_4 0.001023 s: multilinear_map.add_comm_group._proof_5 0.001478 s: multilinear_map.sub_apply 0.001296 s: multilinear_map.neg_apply 0.008438 s: multilinear_map.add_comm_group._proof_6 0.019696 s: multilinear_map.add_comm_group._proof_7 0.003588 s: multilinear_map.add_comm_group._proof_8 0.006761 s: multilinear_map.add_comm_group 0.002651 s: continuous_multilinear_map.cases_on 0.003273 s: continuous_multilinear_map.to_multilinear_map_inj 0.000870 s: continuous_multilinear_map.add_comm_group._proof_2 0.001272 s: continuous_multilinear_map.add_comm_group._proof_3 0.006801 s: continuous_multilinear_map.add_comm_group._proof_4 0.001547 s: continuous_multilinear_map.add_comm_group._proof_5 0.001281 s: continuous_multilinear_map.add_comm_group._proof_6 0.012940 s: continuous_multilinear_map.add_comm_group 0.000118 s: continuous_multilinear_map.to_normed_group._proof_1 0.002664 s: continuous_multilinear_map.op_norm 0.001319 s: continuous_multilinear_map.has_op_norm 0.002414 s: continuous_multilinear_map.ext 0.001664 s: continuous_multilinear_map.zero_apply 0.028629 s: ordered_comm_semiring 0.004526 s: ordered_comm_semiring.add 0.003413 s: ordered_comm_semiring.add_assoc 0.003375 s: ordered_comm_semiring.zero 0.003943 s: ordered_comm_semiring.zero_add 0.003072 s: ordered_comm_semiring.add_zero 0.002878 s: ordered_comm_semiring.nsmul 0.004261 s: ordered_comm_semiring.nsmul_zero' 0.004461 s: ordered_comm_semiring.nsmul_succ' 0.003533 s: ordered_comm_semiring.add_comm 0.002776 s: ordered_comm_semiring.mul 0.003241 s: ordered_comm_semiring.mul_assoc 0.003245 s: ordered_comm_semiring.one 0.003897 s: ordered_comm_semiring.one_mul 0.004241 s: ordered_comm_semiring.mul_one 0.004052 s: ordered_comm_semiring.npow 0.004728 s: ordered_comm_semiring.npow_zero' 0.004382 s: ordered_comm_semiring.npow_succ' 0.003192 s: ordered_comm_semiring.zero_mul 0.003487 s: ordered_comm_semiring.mul_zero 0.003937 s: ordered_comm_semiring.left_distrib 0.004277 s: ordered_comm_semiring.right_distrib 0.003339 s: ordered_comm_semiring.add_left_cancel 0.002921 s: ordered_comm_semiring.le 0.002592 s: ordered_comm_semiring.lt 0.005223 s: ordered_comm_semiring.le_refl 0.005308 s: ordered_comm_semiring.le_trans 0.005036 s: ordered_comm_semiring.lt_iff_le_not_le 0.005103 s: ordered_comm_semiring.le_antisymm 0.009596 s: ordered_comm_semiring.add_le_add_left 0.010054 s: ordered_comm_semiring.le_of_add_le_add_left 0.021861 s: ordered_comm_semiring.zero_le_one 0.045435 s: ordered_comm_semiring.mul_lt_mul_of_pos_left 0.045377 s: ordered_comm_semiring.mul_lt_mul_of_pos_right 0.008419 s: ordered_comm_semiring.to_ordered_semiring 0.007867 s: ordered_comm_semiring.mul_comm 0.000696 s: ordered_comm_semiring.to_comm_semiring 0.001126 s: multiset.prod_eq_foldr 0.000626 s: multiset.foldr_zero 0.000180 s: multiset.mem_cons_of_mem 0.001171 s: multiset.foldr_induction' 0.000187 s: multiset.foldr_induction 0.001146 s: multiset.prod_induction 0.000146 s: quotient.mk' 0.000292 s: quotient.induction_on' 0.000703 s: list.forall_mem_map_iff 0.001709 s: multiset.forall_mem_map_iff 0.000806 s: finset.prod_induction 0.004536 s: finset.prod_nonneg 0.061777 s: ordered_comm_ring 0.012316 s: ordered_comm_ring.add 0.010271 s: ordered_comm_ring.add_assoc 0.009243 s: ordered_comm_ring.zero 0.009795 s: ordered_comm_ring.zero_add 0.012173 s: ordered_comm_ring.add_zero 0.010750 s: ordered_comm_ring.nsmul 0.010535 s: ordered_comm_ring.nsmul_zero' 0.011401 s: ordered_comm_ring.nsmul_succ' 0.009301 s: ordered_comm_ring.add_comm 0.015571 s: ordered_comm_ring.mul 0.010333 s: ordered_comm_ring.mul_assoc 0.009296 s: ordered_comm_ring.one 0.009590 s: ordered_comm_ring.one_mul 0.010864 s: ordered_comm_ring.mul_one 0.010293 s: ordered_comm_ring.npow 0.013686 s: ordered_comm_ring.npow_zero' 0.011792 s: ordered_comm_ring.npow_succ' 0.011795 s: ordered_comm_ring.zero_mul 0.009777 s: ordered_comm_ring.mul_zero 0.012861 s: ordered_comm_ring.left_distrib 0.009912 s: ordered_comm_ring.right_distrib 0.009623 s: ordered_comm_ring.add_left_cancel 0.009065 s: ordered_comm_ring.le 0.010077 s: ordered_comm_ring.lt 0.011897 s: ordered_comm_ring.le_refl 0.012005 s: ordered_comm_ring.le_trans 0.009618 s: ordered_comm_ring.lt_iff_le_not_le 0.011245 s: ordered_comm_ring.le_antisymm 0.009652 s: ordered_comm_ring.neg 0.009540 s: ordered_comm_ring.sub 0.015491 s: ordered_comm_ring.sub_eq_add_neg 0.022227 s: ordered_comm_ring.add_left_neg 0.041156 s: ordered_comm_ring.add_le_add_left 0.020987 s: ordered_comm_ring.le_of_add_le_add_left 0.073243 s: ordered_comm_ring.zero_le_one 0.127863 s: ordered_comm_ring.mul_lt_mul_of_pos_left 0.123707 s: ordered_comm_ring.mul_lt_mul_of_pos_right 0.012734 s: ordered_comm_ring.mul_comm 0.021130 s: ordered_comm_ring.to_ordered_comm_semiring 0.128577 s: linear_ordered_comm_ring.to_ordered_comm_ring 0.013208 s: finset.exists_mem_insert 0.006402 s: finset.prod_eq_zero_iff 0.003292 s: multilinear_map.map_coord_zero 0.001930 s: continuous_multilinear_map.map_coord_zero 0.000031 s: nnreal.distrib_lattice 0.004637 s: nnreal.semilattice_sup_bot 0.000122 s: nnnorm 0.002531 s: pi.add_comm_group._proof_1 0.001773 s: pi.add_comm_group._proof_2 0.001539 s: pi.add_comm_group._proof_3 0.005306 s: pi.add_comm_group._proof_4 0.006486 s: pi.add_comm_group._proof_5 0.000089 s: pi.has_neg 0.000078 s: pi.has_sub 0.020972 s: pi.add_comm_group._proof_6 0.034416 s: pi.add_comm_group._proof_7 0.011303 s: pi.add_comm_group._proof_8 0.003893 s: pi.add_comm_group 0.005430 s: ennreal.bot_eq_zero 0.034099 s: pseudo_emetric_space_pi._proof_1 0.005133 s: pseudo_emetric_space_pi._proof_2 0.027226 s: pseudo_emetric_space_pi._proof_3 0.005823 s: Pi.uniform_space._proof_1 0.000229 s: Pi.uniform_space 0.005562 s: Pi.uniformity 0.000396 s: infi_pos 0.000260 s: set.Inter_pos 0.000292 s: finset.inf_empty 0.000033 s: false_implies_iff 0.000103 s: pi.inhabited 0.000598 s: finset.inf_congr 0.178384 s: filter.mem_infi_sets_finset 0.005726 s: filter.infi_principal_finset 0.001526 s: filter.infi_principal_fintype 0.000231 s: finset.cons_induction_on 0.000824 s: finset.fold_cons 0.000467 s: finset.sup_cons 0.004064 s: finset.sup_lt_iff 0.196263 s: pseudo_emetric_space_pi._proof_4 0.007783 s: pseudo_emetric_space_pi 0.000603 s: edist_pi_def 0.004855 s: ennreal.lt_top_iff_ne_top 0.000361 s: edist_ne_top 0.000265 s: edist_lt_top 0.013911 s: pseudo_metric_space_pi._proof_1 0.005882 s: finset.comp_sup_eq_sup_comp 0.001014 s: monotone.map_sup 0.002880 s: finset.comp_sup_eq_sup_comp_of_is_total 0.001107 s: ennreal.coe_mono 0.012464 s: ennreal.coe_finset_sup 0.003084 s: pseudo_metric_space_pi._proof_2 0.000422 s: pseudo_metric_space_pi 0.001068 s: nndist_eq_nnnorm 0.000814 s: pi.semi_normed_group._proof_1 0.005367 s: pi.semi_normed_group 0.000374 s: metric_space_pi._proof_1 0.000270 s: metric_space_pi._proof_2 0.000203 s: metric_space_pi._proof_3 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separated_space_iff 0.011852 s: separated_equiv 0.003003 s: separated_def 0.001997 s: separated_def' 0.003633 s: filter.inf_eq_bot_iff 0.002073 s: disjoint.mono 0.000172 s: filter.not_ne_bot 0.010355 s: t2_iff_nhds 0.005259 s: separated_iff_t2 0.003531 s: set.compl_inter_self 0.001868 s: separated_regular._match_1 0.000498 s: closure_eq_cluster_pts 0.000149 s: cluster_pt.equations._eqn_1 0.000669 s: set.prod_mk_mem_set_prod_eq 0.003189 s: filter.prod_eq_bot 0.001040 s: filter.prod_ne_bot 0.002505 s: filter.prod_inf_prod 0.002511 s: closure_prod_eq 0.000607 s: mem_closure_iff_nhds_ne_bot 0.306924 s: filter.lift_lift_same_le_lift 0.190167 s: filter.lift_lift_same_eq_lift 0.005250 s: filter.lift_lift'_same_eq_lift' 0.001693 s: nhds_eq_uniformity_prod 0.001176 s: filter.map_lift'_eq2 0.000387 s: filter.inhabited_mem 0.200213 s: filter.lift'_inf_principal_eq 0.003007 s: filter.infi_ne_bot_of_directed' 0.193024 s: filter.infi_ne_bot_iff_of_directed' 0.005581 s: subtype.forall' 0.246266 s: filter.lift_ne_bot_iff 0.000369 s: filter.principal_eq_bot_iff 0.000305 s: filter.principal_ne_bot_iff 0.003639 s: filter.lift'_ne_bot_iff 0.003108 s: set.monotone_inter 0.008962 s: closure_eq_inter_uniformity 0.027371 s: separated_regular._match_2 0.005643 s: separated_regular 0.000281 s: eq_of_le_of_forall_le_of_dense 0.016955 s: eq_of_forall_dist_le 0.002004 s: metric.metric_space.to_separated 0.000743 s: unique_diff_within_at.dense_tangent_cone 0.000487 s: asymptotics.is_o_norm_norm 0.000270 s: asymptotics.is_o.of_norm_norm 0.000207 s: asymptotics.is_o.norm_norm 0.008998 s: asymptotics.is_O.smul_is_o 0.001369 s: tendsto_zero_iff_norm_tendsto_zero 0.000176 s: filter.tendsto.congr' 0.000492 s: add_le_iff_nonpos_left 0.009213 s: eventually_ne_of_tendsto_norm_at_top 0.001931 s: continuous.dist 0.001562 s: continuous_norm 0.145882 s: tangent_cone_at.lim_zero 0.017741 s: ge_mem_nhds 0.023792 s: asymptotics.is_O_const_of_tendsto 0.005806 s: asymptotics.is_O_one_of_tendsto 0.031041 s: has_fderiv_within_at.lim 0.017576 s: has_fderiv_within_at.unique_on 0.003026 s: unique_diff_within_at.eq 0.001292 s: unique_diff_within_at.drec 0.001148 s: unique_diff_within_at_iff 0.008885 s: normed_field.norm_pow 0.279708 s: tangent_cone_univ 0.000322 s: submodule.has_top._proof_1 0.000244 s: submodule.has_top._proof_2 0.000072 s: submodule.has_top._proof_3 0.000703 s: submodule.has_top 0.000151 s: submodule.order_top._proof_1 0.000173 s: submodule.order_top._proof_2 0.030585 s: submodule.order_top._proof_3 0.001275 s: submodule.order_top._proof_4 0.000294 s: submodule.order_top._proof_5 0.003332 s: submodule.order_top 0.000410 s: eq_top_iff 0.000631 s: set_like.le_def 0.014841 s: submodule.span_univ 0.001519 s: submodule.top_coe 0.000409 s: dense_univ 0.001140 s: is_closed_univ 0.001107 s: closure_univ 0.003268 s: unique_diff_within_at_univ 0.001506 s: has_fderiv_within_at.equations._eqn_1 0.001991 s: has_fderiv_within_at_univ 0.002229 s: has_fderiv_at.unique 0.000522 s: metric.eventually_nhds_iff_ball 0.000696 s: metric.is_open_iff 0.009625 s: add_lt_add_of_lt_of_le 0.020585 s: metric.ball_subset 0.043790 s: metric.exists_ball_subset_ball 0.000555 s: metric.is_open_ball 0.001096 s: metric.mem_ball_self 0.000346 s: metric.ball_mem_nhds 0.000190 s: restrict_scalars.normed_group 0.006512 s: normed_space.restrict_scalars._proof_1 0.006163 s: normed_space.restrict_scalars._proof_2 0.050553 s: normed_space.restrict_scalars._proof_3 0.021406 s: normed_space.restrict_scalars 0.000417 s: restrict_scalars.normed_space 0.051729 s: is_R_or_C.to_normed_algebra 0.000150 s: vector_space 0.005004 s: convex 0.000276 s: has_deriv_within_at 0.003843 s: mem_closure_of_tendsto 0.000892 s: continuous_within_at.mem_closure_image 0.000475 s: continuous_within_at.mem_closure 0.000588 s: continuous_within_at.prod 0.001221 s: continuous_within_at.closure_le 0.000424 s: closure_Ioi 0.000276 s: continuous_within_at.mono 0.000590 s: continuous_within_at_univ 0.000257 s: continuous_at.continuous_within_at 0.000133 s: continuous.continuous_within_at 0.000158 s: continuous_within_at_const 0.000379 s: continuous_within_at.add 0.000324 s: continuous_within_at.mul 0.000143 s: continuous_within_at_id 0.001923 s: is_closed_induced_iff 0.000776 s: set.restrict_eq 0.000794 s: set.preimage_image_eq 0.000393 s: function.injective.image_injective 0.001012 s: subtype.preimage_coe_eq_preimage_coe_iff 0.002637 s: continuous_on_iff_is_closed 0.000678 s: continuous_on.preimage_closed_of_closed 0.000549 s: continuous_on.prod 0.000401 s: nhds_within_Ioi_ne_bot 0.000238 s: nhds_within_Ioi_self_ne_bot 0.000057 s: and.imp_left 0.000414 s: set.Ioo_subset_Ico_self 0.000307 s: set.Ioo_subset_Icc_self 0.000630 s: Icc_mem_nhds_within_Ioi 0.000382 s: sup_sdiff_right 0.015463 s: sdiff_inf 0.005609 s: sdiff_inf_self_right 0.015589 s: sdiff_eq_sdiff_iff_inf_eq_inf 0.001527 s: sdiff_eq_self_iff_disjoint 0.017759 s: set.diff_eq_self 0.002073 s: set.singleton_inter_nonempty 0.000349 s: set.singleton_inter_eq_empty 0.000642 s: set.diff_singleton_eq_self 0.000613 s: has_deriv_within_at.equations._eqn_1 0.000450 s: asymptotics.is_O_of_le 0.100995 s: normed_field.norm_div 0.011501 s: div_self 0.045387 s: asymptotics.is_o.tendsto_0 0.007570 s: div_mul_cancel_of_imp 0.028934 s: asymptotics.is_o_iff_tendsto' 0.002825 s: asymptotics.is_o_iff_tendsto 0.134273 s: has_fderiv_at_filter_iff_tendsto 0.034177 s: has_deriv_at_filter_iff_tendsto 0.003917 s: homeomorph 0.000450 s: homeomorph.to_equiv 0.000402 s: homeomorph.has_coe_to_fun 0.000625 s: add_units 0.000166 s: add_units.val 0.000074 s: add_units.has_coe 0.000148 s: add_units.neg 0.000267 s: add_units.val_neg 0.000891 s: add_units.add_group._proof_1 0.000253 s: add_units.neg_val 0.000691 s: add_units.add_group._proof_2 0.000225 s: add_units.cases_on 0.005044 s: add_units.ext 0.005535 s: add_units.add_group._proof_3 0.000098 s: add_units.add_group._proof_4 0.000093 s: add_units.add_group._proof_5 0.003748 s: add_units.add_group._proof_6 0.005250 s: add_units.add_group._proof_7 0.004197 s: add_units.add_group._proof_8 0.003247 s: add_units.add_group._proof_9 0.007431 s: add_units.add_group._proof_10 0.006790 s: add_units.add_group._proof_11 0.004869 s: add_units.add_group._proof_12 0.004941 s: add_units.add_group._proof_13 0.005476 s: add_units.add_group._proof_14 0.008674 s: add_units.add_group._proof_15 0.007768 s: add_units.add_group._proof_16 0.030153 s: add_units.add_group._proof_17 0.050156 s: add_units.add_group._proof_18 0.060949 s: add_units.add_group 0.001010 s: add_units.add_neg 0.003943 s: add_units.add_neg_cancel_right 0.000192 s: add_units.add_right._proof_1 0.000570 s: add_units.neg_add 0.000646 s: add_units.neg_add_cancel_right 0.000185 s: add_units.add_right._proof_2 0.000383 s: add_units.add_right 0.000328 s: to_add_units._proof_1 0.000570 s: to_add_units._proof_2 0.001922 s: to_add_units._proof_3 0.000791 s: to_add_units 0.000687 s: equiv.add_right 0.000182 s: homeomorph.add_right._proof_1 0.000086 s: homeomorph.add_right._proof_2 0.001201 s: homeomorph.add_right._proof_3 0.000932 s: homeomorph.add_right._proof_4 0.000867 s: homeomorph.add_right 0.000580 s: homeomorph.continuous_inv_fun 0.000369 s: homeomorph.continuous_to_fun 0.000520 s: homeomorph.symm 0.000583 s: induced_iff_nhds_eq 0.000291 s: inducing.nhds_eq_comap 0.000859 s: inducing_of_inducing_compose 0.000444 s: homeomorph.continuous 0.001337 s: homeomorph.symm_apply_apply 0.000961 s: homeomorph.symm_comp_self 0.001051 s: induced_id 0.000094 s: inducing_id 0.000744 s: homeomorph.inducing 0.000428 s: homeomorph.injective 0.000255 s: homeomorph.embedding 0.000270 s: homeomorph.nhds_eq_comap 0.001243 s: homeomorph.apply_symm_apply 0.001206 s: homeomorph.comap_nhds_eq 0.003495 s: nhds_translation_add_neg 0.000655 s: nhds_translation 0.000167 s: filter.tendsto_iff_comap 0.220380 s: tendsto_inf_principal_nhds_iff_of_forall_eq 0.000709 s: no_zero_smul_divisors 0.000210 s: no_zero_smul_divisors.eq_zero_or_eq_zero_of_smul_eq_zero 0.004636 s: smul_eq_zero 0.000785 s: units.smul_eq_zero 0.012056 s: no_zero_smul_divisors.of_division_ring 0.000251 s: sub_ne_zero 0.085395 s: has_deriv_at_filter_iff_tendsto_slope 0.017130 s: has_deriv_within_at_iff_tendsto_slope 0.001895 s: has_deriv_within_at_iff_tendsto_slope' 0.015505 s: sdiff_sup 0.012999 s: sdiff_sdiff_left 0.000232 s: sdiff_idem 0.003844 s: has_deriv_within_at_diff_singleton 0.000862 s: has_deriv_within_at_Ioi_iff_Ici 0.000231 s: has_deriv_within_at.Ioi_of_Ici 0.001011 s: Ioi_mem_nhds 0.410851 s: image_le_of_liminf_slope_right_lt_deriv_boundary' 0.000189 s: continuous_within_at.tendsto 0.000090 s: set.maps_to 0.037455 s: continuous_within_at.tendsto_nhds_within 0.003743 s: continuous_within_at.comp 0.000578 s: continuous_on.comp 0.000215 s: set.subset_preimage_univ 0.000550 s: continuous.comp_continuous_on 0.000676 s: continuous_on.add 0.000466 s: continuous_on.mul 0.000360 s: continuous_within_at.sub 0.000356 s: continuous_on.sub 0.003042 s: has_fderiv_at_filter.has_deriv_at_filter 0.019510 s: has_fderiv_at_filter.add 0.037848 s: has_deriv_at_filter.add 0.005037 s: has_deriv_within_at.add 0.003841 s: has_fderiv_within_at_iff_has_deriv_within_at 0.002442 s: has_fderiv_within_at.has_deriv_within_at 0.000420 s: set.maps_to' 0.000256 s: set.maps_to_image 0.000264 s: continuous_within_at.tendsto_nhds_within_image 0.012448 s: has_fderiv_within_at.continuous_within_at 0.004885 s: has_fderiv_within_at.comp 0.003035 s: has_fderiv_at.comp_has_fderiv_within_at 0.056445 s: is_bounded_bilinear_map.has_fderiv_at 0.094127 s: has_fderiv_at_filter.prod 0.066237 s: has_fderiv_within_at.prod 0.118445 s: has_fderiv_within_at.smul 0.144383 s: has_deriv_within_at.smul 0.030360 s: has_deriv_within_at.mul 0.007224 s: has_fderiv_at_filter_const 0.006770 s: has_deriv_at_filter_const 0.000409 s: has_deriv_within_at_const 0.006052 s: has_deriv_within_at.const_mul 0.001126 s: has_deriv_at_filter.add_const 0.001943 s: has_deriv_at_filter.sub_const 0.001185 s: has_deriv_within_at.sub_const 0.002173 s: continuous_linear_map.coe_id' 0.001958 s: sub_sub_sub_cancel_left 0.003700 s: has_fderiv_at_filter_id 0.004711 s: has_deriv_at_filter_id 0.000793 s: has_deriv_within_at_id 0.218916 s: image_le_of_liminf_slope_right_le_deriv_boundary 0.000444 s: filter.frequently.mp 0.002729 s: set.diff_union_self 0.184242 s: has_deriv_within_at.limsup_norm_slope_le 0.018156 s: abs_norm_sub_norm_le 0.007043 s: norm_sub_norm_le 0.066595 s: has_deriv_within_at.limsup_slope_norm_le 0.148473 s: has_deriv_within_at.liminf_right_slope_norm_le 0.090216 s: image_norm_le_of_norm_deriv_right_le_deriv_boundary' 0.027908 s: has_deriv_at_filter.tendsto_nhds 0.001263 s: has_deriv_at.continuous_at 0.001237 s: has_fderiv_at.has_fderiv_at_filter 0.011989 s: has_fderiv_at.has_fderiv_within_at 0.020327 s: has_deriv_at.has_deriv_within_at 0.137739 s: image_norm_le_of_norm_deriv_right_le_deriv_boundary 0.032145 s: has_fderiv_at_filter.neg 0.025751 s: has_deriv_at_filter.neg 0.004028 s: has_deriv_at_filter.sub 0.000632 s: has_deriv_within_at.sub 0.014526 s: has_deriv_within_at_univ 0.003189 s: has_deriv_at.mul 0.000431 s: has_deriv_at_const 0.000618 s: has_deriv_at.sub 0.000236 s: has_deriv_at_id 0.076730 s: norm_image_sub_le_of_norm_deriv_right_le_segment 0.019509 s: has_deriv_within_at.continuous_within_at 0.002735 s: has_fderiv_within_at_inter' 0.015427 s: has_deriv_within_at_inter' 0.002824 s: has_fderiv_within_at.mono 0.015861 s: has_deriv_within_at.mono 0.002572 s: has_deriv_within_at.nhds_within 0.073093 s: norm_image_sub_le_of_norm_deriv_le_segment' 0.020883 s: norm_image_sub_le_of_norm_deriv_le_segment_01' 0.016039 s: has_deriv_within_at_iff_has_fderiv_within_at 0.031539 s: has_fderiv_within_at.comp_has_deriv_within_at 0.002906 s: segment 0.036267 s: segment_eq_image 0.101265 s: segment_eq_image' 0.013981 s: convex.equations._eqn_1 0.002214 s: segment.equations._eqn_1 0.004927 s: segment_eq_image₂ 0.002645 s: convex_iff_segment_subset 0.000438 s: convex.segment_subset 0.001147 s: has_deriv_at_filter.const_add 0.000394 s: has_deriv_at.const_add 0.009844 s: has_deriv_within_at.smul_const 0.002013 s: has_deriv_at.smul_const 0.008284 s: continuous_linear_map.le_of_op_norm_le 0.218748 s: convex.norm_image_sub_le_of_norm_has_fderiv_within_le 0.029048 s: has_fderiv_at_filter.sub 0.003041 s: has_fderiv_within_at.sub 0.001588 s: continuous_linear_map.has_fderiv_within_at 0.085723 s: convex.norm_image_sub_le_of_norm_has_fderiv_within_le' 0.001384 s: set.sep_univ 0.013278 s: ordered_semimodule 0.003096 s: convex_on 0.002393 s: ordered_semimodule.smul_lt_smul_of_pos 0.001327 s: smul_lt_smul_of_pos 0.001131 s: smul_le_smul_of_nonneg 0.098334 s: convex_on.convex_lt 0.018499 s: mul_lt_mul_left 0.174669 s: linear_ordered_comm_ring.to_ordered_semimodule 0.195772 s: convex_on_dist 0.000380 s: convex_univ 0.345044 s: convex_ball 0.000843 s: prod.dist_eq 0.006954 s: ball_prod_same 0.084106 s: has_strict_fderiv_at_of_has_fderiv_at_of_continuous_at 0.000331 s: filter.eventually.self_of_nhds 0.011652 s: eventually_nhds_iff 0.001946 s: filter.eventually.eventually_nhds 0.000181 s: eventually_eventually_nhds 0.003105 s: has_fderiv_within_at_inter 0.001946 s: has_fderiv_within_at.has_fderiv_at 0.003203 s: filter.eventually_eq.has_fderiv_at_filter_iff 0.001708 s: has_fderiv_at_filter.congr_of_eventually_eq 0.001781 s: has_fderiv_within_at.congr_mono 0.001164 s: has_fderiv_within_at.congr 0.002228 s: continuous_linear_equiv 0.000816 s: continuous_linear_equiv.to_linear_equiv 0.000704 s: continuous_linear_equiv.to_continuous_linear_map._proof_1 0.001003 s: continuous_linear_equiv.to_continuous_linear_map._proof_2 0.000858 s: continuous_linear_equiv.continuous_to_fun 0.001405 s: continuous_linear_equiv.to_continuous_linear_map 0.000260 s: continuous_linear_equiv.continuous_linear_map.has_coe 0.000227 s: linear_equiv.linear_map.has_coe 0.002489 s: linear_isometry_equiv.to_linear_isometry 0.001232 s: linear_isometry_equiv.isometry 0.000883 s: linear_isometry_equiv.continuous 0.000470 s: isometric 0.000112 s: isometric.to_equiv 0.000160 s: isometric.has_coe_to_fun 0.000371 s: isometry.right_inv 0.000304 s: isometric.isometry_to_fun 0.000295 s: isometric.isometry 0.000395 s: isometric.symm._proof_1 0.000157 s: isometric.symm 0.001005 s: linear_isometry_equiv.to_isometric 0.000208 s: isometric.continuous 0.000579 s: linear_isometry_equiv.continuous_linear_equiv.has_coe_t._proof_1 0.001863 s: linear_isometry_equiv.continuous_linear_equiv.has_coe_t 0.000690 s: linear_isometry_equiv.continuous_linear_map.has_coe_t 0.000882 s: continuous_linear_equiv.has_coe_to_fun 0.000944 s: continuous_linear_equiv.symm._proof_1 0.001398 s: continuous_linear_equiv.symm._proof_2 0.000764 s: continuous_linear_equiv.symm._proof_3 0.001058 s: continuous_linear_equiv.symm._proof_4 0.001591 s: continuous_linear_equiv.continuous_inv_fun 0.002873 s: continuous_linear_equiv.symm 0.004980 s: continuous_linear_equiv.symm_apply_apply 0.003201 s: continuous_linear_equiv.symm_comp_self 0.012419 s: continuous_linear_map.comp_assoc 0.009014 s: continuous_linear_equiv.coe_symm_comp_coe 0.003103 s: continuous_linear_map.id_comp 0.002541 s: continuous_linear_equiv.has_fderiv_at 0.009719 s: continuous_linear_equiv.comp_has_fderiv_within_at_iff 0.004371 s: continuous_linear_equiv.apply_symm_apply 0.006445 s: continuous_linear_equiv.coe_comp_coe_symm 0.007445 s: continuous_linear_equiv.comp_has_fderiv_within_at_iff' 0.017697 s: linear_isometry_equiv.comp_has_fderiv_within_at_iff' 0.000133 s: coe_fn.equations._eqn_1 0.032033 s: has_ftaylor_series_up_to_on.fderiv_within 0.015595 s: has_ftaylor_series_up_to_on.zero_eq 0.082938 s: has_ftaylor_series_up_to_on.has_fderiv_within_at 0.037150 s: has_ftaylor_series_up_to_on.has_fderiv_at 0.033574 s: has_ftaylor_series_up_to_on.eventually_has_fderiv_at 0.005189 s: linear_isometry_equiv.continuous_at 0.002027 s: continuous_within_at_inter 0.000739 s: continuous_within_at.continuous_at 0.000293 s: continuous_on.continuous_at 0.015406 s: has_ftaylor_series_up_to_on.cont 0.037708 s: has_ftaylor_series_up_to_on.has_strict_fderiv_at 0.000439 s: set.insert_eq_of_mem 0.020012 s: times_cont_diff_at.has_strict_fderiv_at' 0.021860 s: times_cont_diff_at.has_strict_deriv_at' 0.000548 s: proper_space 0.003069 s: metric.cauchy_iff 0.000207 s: totally_bounded 0.000181 s: is_complete 0.001679 s: ultrafilter 0.000131 s: ultrafilter.to_filter 0.000076 s: ultrafilter.filter.has_coe_t 0.000355 s: ultrafilter.ne_bot' 0.000137 s: ultrafilter.has_mem 0.000255 s: filter.empty_nmem_sets 0.000278 s: ultrafilter.ne_bot 0.000801 s: ultrafilter.empty_not_mem 0.009352 s: Sup_insert 0.002985 s: set.sUnion_insert 0.000356 s: filter.eventually.and 0.000234 s: ultrafilter.le_of_le 0.000842 s: ultrafilter.unique 0.015842 s: ultrafilter.le_of_inf_ne_bot 0.003638 s: ultrafilter.compl_not_mem_iff 0.000458 s: ultrafilter.compl_mem_iff_not_mem 0.000158 s: ultrafilter.mem_or_compl_mem 0.002298 s: ultrafilter.em 0.001145 s: ultrafilter.eventually_or 0.001739 s: ultrafilter.union_mem_iff 0.002434 s: ultrafilter.finite_sUnion_mem_iff 0.001462 s: set.fintype_image._proof_1 0.000384 s: set.fintype_image 0.000285 s: set.finite.image 0.001096 s: set.bex_image_iff 0.001016 s: ultrafilter.finite_bUnion_mem_iff 0.004768 s: ultrafilter.cauchy_of_totally_bounded 0.000092 s: zorn.chain 0.172698 s: filter.infi_ne_bot_of_directed 0.000169 s: filter.nonempty_of_ne_bot 0.005177 s: directed_of_chain 0.000043 s: refl_of 0.000145 s: is_refl.swap 0.000283 s: ge.is_refl 0.000330 s: set.forall_insert_of_forall 0.000990 s: zorn.chain_insert 0.000090 s: zorn.super_chain 0.000092 s: zorn.succ_chain 0.000949 s: zorn.chain_closure 0.000034 s: zorn.max_chain 0.000040 s: zorn.is_max_chain 0.000522 s: zorn.chain_closure.drec 0.000200 s: zorn.succ_chain.equations._eqn_1 0.000867 s: zorn.succ_spec 0.000933 s: zorn.succ_increasing 0.000053 s: decidable.or_iff_not_imp_right 0.000024 s: or_iff_not_imp_right 0.000737 s: _private.3844893253.chain_closure_succ_total_aux 0.000186 s: set.sUnion_subset_iff 0.002255 s: _private.1676659881.chain_closure_succ_total 0.000927 s: zorn.chain_closure_succ_fixpoint 0.000130 s: zorn.chain_closure_closure 0.000395 s: zorn.chain_closure_succ_fixpoint_iff 0.000226 s: zorn.is_max_chain.equations._eqn_1 0.000128 s: decidable.not_forall_not 0.000077 s: not_forall_not 0.000755 s: zorn.super_of_not_max 0.000689 s: zorn.chain_succ 0.000200 s: zorn.chain_closure_total 0.001242 s: zorn.chain_chain_closure 0.000500 s: zorn.max_chain_spec 0.000244 s: set.ssubset_def 0.001166 s: set.ssubset_iff_insert 0.000212 s: set.ssubset_insert 0.000630 s: zorn.exists_maximal_of_chains_bounded 0.175797 s: ultrafilter.exists_le 0.000178 s: ultrafilter.of 0.000399 s: ultrafilter.of_le 0.001515 s: set.nonempty_diff 0.001134 s: finset.set_bUnion_coe 0.003451 s: filter.prod_same_eq 0.001146 s: filter.mem_prod_same_iff 0.004339 s: supr_supr_eq_left 0.001461 s: finset.supr_singleton 0.000244 s: finset.set_bUnion_singleton 0.180312 s: totally_bounded_iff_filter 0.003205 s: totally_bounded_iff_ultrafilter 0.003188 s: filter.forall_ne_bot_le_iff 0.008391 s: cluster_pt.mono 0.001320 s: ultrafilter.le_of_inf_ne_bot' 0.007390 s: cluster_pt.of_le_nhds 0.000341 s: ultrafilter.cluster_pt_iff 0.004089 s: compact_iff_ultrafilter_le_nhds 0.001409 s: le_nhds_of_cauchy_adhp 0.001531 s: compact_iff_totally_bounded_complete 0.000102 s: proper_space.compact_ball 0.005930 s: complete_of_proper 0.000214 s: submodule.fg 0.000770 s: is_noetherian 0.000322 s: finite_dimensional 0.000795 s: submodule.to_add_submonoid 0.001014 s: submodule.comap._proof_1 0.000677 s: submodule.comap._proof_2 0.002837 s: submodule.comap._proof_3 0.003513 s: submodule.comap 0.000381 s: linear_map.ker 0.001885 s: finsupp.lsum._proof_1 0.001503 s: finsupp.sum_map_range_index 0.002444 s: finsupp.sum_smul_index' 0.000364 s: const_smul_hom 0.000808 s: finset.smul_sum 0.002023 s: finsupp.smul_sum 0.003987 s: finsupp.lsum._proof_2 0.001471 s: linear_map.to_add_monoid_hom_injective 0.002509 s: finsupp.lhom_ext 0.000651 s: linear_map.congr_fun 0.003218 s: finsupp.lhom_ext' 0.001012 s: finsupp.lsingle_apply 0.052945 s: finsupp.lsum._proof_3 0.048615 s: finsupp.lsum._proof_4 0.027668 s: finsupp.lsum._proof_5 0.031533 s: finsupp.lsum._proof_6 0.023506 s: finsupp.lsum 0.000473 s: finsupp.total._proof_1 0.010025 s: finsupp.total 0.001478 s: linear_independent 0.000374 s: is_basis 0.001194 s: linear_independent.restrict_of_comp_subtype 0.000990 s: zorn.zorn_partial_order 0.016886 s: zorn.zorn_subset 0.005536 s: zorn.zorn_subset₀ 0.001009 s: set.sUnion_range 0.001471 s: set.sUnion_eq_Union 0.002259 s: finsupp.supported._proof_1 0.001881 s: finset.coe_union 0.002075 s: finsupp.supported._proof_2 0.001779 s: finsupp.support_smul 0.001603 s: finsupp.supported._proof_3 0.000891 s: finsupp.supported 0.001065 s: linear_independent.equations._eqn_1 0.000149 s: submodule.complete_lattice._proof_1 0.000167 s: submodule.complete_lattice._proof_2 0.000254 s: submodule.complete_lattice._proof_3 0.000339 s: submodule.complete_lattice._proof_4 0.003115 s: _private.44982561.le_Inf' 0.000530 s: submodule.complete_lattice._match_1 0.000599 s: submodule.complete_lattice._proof_5 0.000400 s: submodule.complete_lattice._match_2 0.000654 s: submodule.complete_lattice._proof_6 0.002821 s: _private.1824694467.Inf_le' 0.005802 s: submodule.complete_lattice._proof_7 0.001211 s: submodule.has_inf._proof_1 0.002096 s: submodule.has_inf._proof_2 0.002170 s: submodule.has_inf._proof_3 0.000883 s: submodule.has_inf 0.000403 s: submodule.complete_lattice._proof_8 0.000281 s: submodule.complete_lattice._proof_9 0.000839 s: submodule.complete_lattice._proof_10 0.000435 s: submodule.complete_lattice._proof_11 0.000332 s: submodule.order_bot._proof_1 0.000434 s: submodule.order_bot._proof_3 0.000655 s: submodule.order_bot._proof_4 0.001231 s: submodule.mem_bot 0.001819 s: submodule.order_bot._proof_5 0.002056 s: submodule.order_bot 0.000611 s: submodule.complete_lattice._proof_12 0.000513 s: submodule.complete_lattice._proof_13 0.004518 s: submodule.complete_lattice._proof_14 0.000319 s: submodule.complete_lattice._proof_15 0.000550 s: submodule.complete_lattice._proof_16 0.012263 s: submodule.complete_lattice 0.000427 s: submodule.mem_top 0.008842 s: submodule.disjoint_def 0.001910 s: linear_map.mem_ker 0.001409 s: linear_map.disjoint_ker 0.014083 s: linear_map.ker_eq_bot' 0.004912 s: linear_independent_iff 0.005706 s: finsupp.total_apply 0.001356 s: finsupp.mem_supported 0.000300 s: finset.subtype._proof_1 0.000762 s: finset.subtype._proof_2 0.000513 s: finset.subtype 0.000479 s: finset.subtype.equations._eqn_1 0.000439 s: function.embedding.coe_fn_mk 0.005888 s: finset.mem_subtype 0.001584 s: finsupp.subtype_domain._proof_1 0.000706 s: finsupp.subtype_domain 0.000904 s: finsupp.support_subtype_domain 0.001606 s: finset.subtype_eq_empty 0.001167 s: finsupp.subtype_domain_eq_zero_iff' 0.001576 s: finsupp.subtype_domain_eq_zero_iff 0.001752 s: multiset.pmap_eq_map 0.004060 s: multiset.pmap_eq_map_attach 0.004338 s: multiset.map_eq_map_of_bij_of_nodup 0.002082 s: finset.sum_bij 0.002205 s: finsupp.sum_subtype_domain_index 0.000038 s: exists_unique 0.000728 s: quotient.rec_on 0.000994 s: list.choose_x._match_2 0.000647 s: list.choose_x._match_1 0.002299 s: list.choose_x._main 0.000111 s: list.choose_x 0.000228 s: exists_of_exists_unique 0.000676 s: multiset.choose_x._proof_1 0.004556 s: multiset.choose_x._proof_2 0.000995 s: multiset.choose_x 0.000448 s: finset.choose_x 0.000175 s: finset.choose 0.000224 s: exists_unique.intro 0.000179 s: function.embedding.injective 0.000381 s: finsupp.emb_domain._match_1 0.001102 s: finsupp.emb_domain._proof_1 0.001240 s: finset.choose_spec 0.000237 s: finset.choose_mem 0.000052 s: ne.irrefl 0.000020 s: false_of_ne 0.000058 s: ne_self_iff_false 0.003594 s: finsupp.emb_domain._proof_2 0.001221 s: finsupp.emb_domain 0.000257 s: function.embedding.subtype._proof_1 0.000640 s: function.embedding.subtype 0.000266 s: function.injective.eq_iff' 0.000392 s: finset.choose_property 0.003967 s: finsupp.emb_domain_apply 0.001070 s: finsupp.emb_domain_injective 0.004165 s: finsupp.emb_domain_zero 0.000480 s: finsupp.emb_domain_eq_zero 0.000384 s: finsupp.support_emb_domain 0.000569 s: function.embedding.coe_subtype 0.000229 s: finsupp.map_domain 0.000480 s: finsupp.map_domain.equations._eqn_1 0.002806 s: finsupp.map_domain_apply 0.001815 s: finsupp.map_domain_notin_range 0.002005 s: finsupp.emb_domain_notin_range 0.001738 s: finsupp.emb_domain_eq_map_domain 0.001270 s: finsupp.sum_map_domain_index 0.014897 s: linear_independent_comp_subtype 0.003357 s: linear_independent_subtype 0.004259 s: linear_independent_of_finite 0.005360 s: linear_independent_comp_subtype_disjoint 0.002029 s: linear_independent_subtype_disjoint 0.000143 s: disjoint.mono_left 0.001841 s: finsupp.supported_mono 0.011532 s: linear_independent.mono 0.002124 s: finsupp.mem_supported' 0.003989 s: finsupp.supported_empty 0.005204 s: linear_independent_empty 0.004685 s: linear_independent_Union_of_directed 0.004304 s: linear_independent_sUnion_of_directed 0.000458 s: zorn.chain.total_of_refl 0.001095 s: zorn.chain.directed_on 0.000940 s: set.union_singleton 0.000155 s: nontrivial_iff 0.000148 s: subsingleton_iff 0.001244 s: not_nontrivial_iff_subsingleton 0.000211 s: subsingleton_or_nontrivial 0.002051 s: linear_independent_of_subsingleton 0.002362 s: finsupp.map_domain_add 0.000306 s: finsupp.lmap_domain._proof_1 0.000904 s: finsupp.map_range_zero 0.000500 s: finsupp.map_domain_zero 0.001140 s: finsupp.map_range_add 0.000638 s: finsupp.map_domain_single 0.004940 s: finsupp.map_domain_smul 0.004047 s: finsupp.lmap_domain 0.001732 s: finsupp.lmap_domain_apply 0.012449 s: finsupp.total_comp 0.008184 s: linear_independent.comp 0.002639 s: linear_independent_equiv 0.000836 s: linear_independent_equiv' 0.001682 s: linear_independent_subtype_range 0.000549 s: finsupp.single_injective 0.001265 s: finsupp.single_eq_single_iff 0.000290 s: finsupp.add_comm_group._proof_1 0.000211 s: finsupp.add_comm_group._proof_2 0.000144 s: finsupp.add_comm_group._proof_3 0.000420 s: finsupp.add_comm_group._proof_4 0.000363 s: finsupp.add_comm_group._proof_5 0.000611 s: finsupp.add_comm_group._proof_6 0.000578 s: finsupp.add_comm_group._proof_7 0.005606 s: finsupp.add_comm_group._proof_8 0.005245 s: finsupp.add_comm_group 0.001766 s: eq_add_of_sub_eq' 0.027081 s: linear_independent.injective 0.004268 s: linear_independent.to_subtype_range 0.001355 s: linear_independent.to_subtype_range' 0.000105 s: sum.elim 0.000121 s: sum.inl_injective 0.000111 s: sum.inr_injective 0.001263 s: add_submonoid.map._proof_1 0.001898 s: add_submonoid.map._proof_2 0.000532 s: add_submonoid.map 0.000803 s: submodule.map._proof_1 0.001319 s: submodule.map._proof_2 0.003011 s: submodule.map._proof_3 0.002289 s: submodule.map 0.000571 s: submodule.span_eq_of_le 0.002596 s: finsupp.single_mem_supported 0.003045 s: finsupp.total_single 0.004373 s: submodule.map_le_iff_le_comap 0.001838 s: add_submonoid.list_sum_mem 0.001010 s: add_submonoid.multiset_sum_mem 0.000962 s: add_submonoid.sum_mem 0.001267 s: submodule.sum_mem 0.002508 s: linear_map.coe_smul_right 0.000679 s: linear_map.id_coe 0.021789 s: finsupp.span_eq_map_total 0.003455 s: submodule.mem_map 0.003499 s: finsupp.mem_span_iff_total 0.001211 s: set.inter_eq_Inter 0.000541 s: set_like.ext 0.000247 s: submodule.ext 0.002485 s: set.subset_Inter_iff 0.002309 s: submodule.Inf_coe 0.004138 s: infi_range 0.000344 s: set.bInter_range 0.001674 s: submodule.infi_coe 0.001401 s: submodule.mem_infi 0.001735 s: finsupp.supported_Inter 0.005746 s: infi_bool_eq 0.004007 s: finsupp.supported_inter 0.002653 s: set.disjoint_iff_inter_eq_empty 0.003236 s: finsupp.disjoint_supported_supported 0.001400 s: submodule.mem_inf 0.017476 s: linear_independent_iff_injective_total 0.004845 s: linear_independent.injective_total 0.016086 s: linear_independent.disjoint_span_image 0.000040 s: true_eq_false_of_false 0.009868 s: set.is_compl_range_inl_range_inr 0.000607 s: finsupp.lapply._proof_1 0.002177 s: finsupp.lapply._proof_2 0.004213 s: finsupp.lapply 0.001263 s: finsupp.lapply_apply 0.001279 s: linear_map.map_sum 0.010024 s: linear_independent_iff' 0.001468 s: submodule.disjoint_def' 0.000727 s: sub_mul_action 0.000263 s: sub_mul_action.carrier 0.000237 s: sub_mul_action.cases_on 0.001102 s: sub_mul_action.set_like._proof_1 0.000180 s: sub_mul_action.set_like 0.005366 s: neg_one_smul 0.000316 s: sub_mul_action.smul_mem' 0.002601 s: sub_mul_action.smul_mem 0.001228 s: sub_mul_action.neg_mem 0.000476 s: submodule.to_sub_mul_action 0.001333 s: submodule.neg_mem 0.000092 s: sum.inl.inj_arrow 0.000077 s: sum.inr.inj_arrow 0.000902 s: sum.decidable_eq 0.001817 s: finset.disjoint_filter 0.004137 s: set.disjoint_left 0.001071 s: finset.filter_or 0.000227 s: set.mem_union 0.004126 s: set.range_inl_union_range_inr 0.000651 s: finset.filter_true 0.034484 s: linear_independent_sum 0.003477 s: linear_independent.sum_type 0.000691 s: sum.exists 0.000206 s: sum.elim_inl 0.000097 s: sum.elim_inr 0.001610 s: set.sum.elim_range 0.004202 s: linear_independent.union 0.000171 s: unique.forall_iff 0.000439 s: finsupp.unique_single 0.002816 s: finsupp.total_unique 0.000046 s: division_ring.to_nontrivial 0.000335 s: finsupp.unique_ext 0.006790 s: linear_independent_unique_iff 0.000979 s: linear_independent_unique 0.001394 s: linear_independent_singleton 0.006540 s: submodule.mem_span_singleton 0.000997 s: sub_mul_action.smul_of_tower_mem 0.002008 s: sub_mul_action.smul_mem_iff' 0.016915 s: sub_mul_action.smul_mem_iff 0.009345 s: submodule.smul_mem_iff 0.015429 s: submodule.disjoint_span_singleton 0.002050 s: submodule.disjoint_span_singleton' 0.004674 s: linear_independent.insert 0.000249 s: set.subset_insert 0.008061 s: exists_linear_independent 0.007860 s: exists_subset_is_basis 0.003242 s: exists_is_basis 0.000301 s: is_irrefl 0.000256 s: is_strict_order 0.000181 s: well_founded.dcases_on 0.000304 s: rel_embedding.swap._proof_1 0.000803 s: rel_embedding.swap 0.000243 s: is_trichotomous 0.000188 s: is_asymm 0.000086 s: is_trichotomous.trichotomous 0.000158 s: trichotomous 0.000085 s: is_irrefl.irrefl 0.000064 s: irrefl 0.000068 s: is_asymm.asymm 0.000043 s: asymm 0.000059 s: is_asymm.is_irrefl 0.000578 s: rel_embedding.of_monotone._proof_1 0.001280 s: rel_embedding.of_monotone._proof_2 0.000448 s: rel_embedding.of_monotone 0.000139 s: has_lt.lt.is_trichotomous 0.000117 s: is_asymm_of_is_trans_of_is_irrefl 0.000098 s: is_strict_order.to_is_trans 0.000054 s: is_strict_order.to_is_irrefl 0.000065 s: rel_embedding.nat_lt._proof_1 0.000783 s: rel_embedding.nat_lt._proof_2 0.000560 s: rel_embedding.nat_lt 0.000042 s: irrefl_of 0.000090 s: is_irrefl.swap 0.000173 s: is_strict_order.swap 0.000466 s: rel_embedding.nat_gt 0.000276 s: nat.iterate._main 0.000031 s: nat.iterate 0.000548 s: function.iterate_succ 0.000038 s: function.semiconj 0.000173 s: function.semiconj.comp_eq 0.000027 s: function.commute 0.000085 s: function.semiconj.id_right 0.000067 s: function.semiconj.eq 0.000580 s: function.semiconj.comp_right 0.001317 s: function.semiconj.iterate_right 0.000107 s: function.commute.iterate_right 0.000044 s: function.commute.refl 0.000051 s: function.commute.self_iterate 0.000316 s: function.iterate_succ' 0.002096 s: rel_embedding.well_founded_iff_no_descending_seq 0.000068 s: has_lt.lt.is_irrefl 0.000284 s: gt.is_irrefl 0.000065 s: has_lt.lt.is_trans 0.000210 s: gt.is_trans 0.000058 s: gt.is_strict_order 0.000212 s: complete_lattice.is_compact_element 0.000221 s: complete_lattice.is_Sup_finite_compact 0.000111 s: complete_lattice.is_sup_closed_compact 0.000646 s: well_founded.has_min 0.000552 s: well_founded.well_founded_iff_has_min 0.000476 s: well_founded.eq_iff_not_lt_of_le 0.001164 s: well_founded.well_founded_iff_has_max' 0.000279 s: finset.subset_insert 0.000858 s: finset.sup_eq_Sup 0.000232 s: is_least.mono 0.000210 s: upper_bounds_mono_set 0.000160 s: is_lub.mono 0.000140 s: Sup_le_Sup 0.017579 s: complete_lattice.well_founded.is_Sup_finite_compact 0.000048 s: and_congr_left' 0.000569 s: set.eq_singleton_iff_unique_mem 0.000176 s: and_congr_left 0.002008 s: set.eq_singleton_iff_nonempty_unique_mem 0.004565 s: Sup_eq_bot 0.000687 s: eq_singleton_bot_of_Sup_eq_bot_of_nonempty 0.002083 s: finset.sup_of_mem 0.000839 s: finset.sup'._match_1 0.000203 s: finset.sup' 0.000299 s: finset.sup'.equations._eqn_1 0.000821 s: finset.coe_sup' 0.002962 s: finset.sup'_le 0.002382 s: finset.le_sup' 0.001633 s: finset.sup'_eq_sup 0.000376 s: with_bot.rec_bot_coe 0.001782 s: finset.sup_induction 0.002073 s: finset.sup'_induction 0.001021 s: 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add_subgroup.has_neg 0.000644 s: add_subgroup.has_sub._proof_1 0.000281 s: add_subgroup.has_sub 0.000184 s: add_subgroup.to_add_comm_group._proof_1 0.000254 s: add_subgroup.to_add_comm_group._proof_2 0.000273 s: add_subgroup.to_add_comm_group._proof_3 0.000283 s: add_subgroup.to_add_comm_group._proof_4 0.000275 s: add_subgroup.to_add_comm_group._proof_5 0.005300 s: add_subgroup.to_add_comm_group 0.000638 s: submodule.add_comm_group._proof_1 0.000601 s: submodule.add_comm_group._proof_2 0.000392 s: submodule.add_comm_group._proof_3 0.000651 s: submodule.add_comm_group._proof_4 0.000616 s: submodule.add_comm_group._proof_5 0.000637 s: submodule.has_neg._proof_1 0.000836 s: submodule.has_neg 0.001072 s: submodule.add_comm_group._proof_6 0.000962 s: submodule.add_comm_group._proof_7 0.000513 s: submodule.add_comm_group._proof_8 0.010825 s: submodule.add_comm_group 0.013985 s: finsupp.range_total 0.004166 s: linear_independent.total_equiv._proof_1 0.000485 s: linear_map.ker.equations._eqn_1 0.007774 s: linear_map.comap_cod_restrict 0.001347 s: submodule.gc_map_comap 0.013021 s: submodule.map_bot 0.003195 s: linear_map.ker_cod_restrict 0.045016 s: linear_independent.total_equiv._proof_2 0.006220 s: linear_map.range_eq_map 0.002285 s: linear_map.cod_restrict_apply 0.001669 s: submodule.mem_comap 0.001437 s: submodule.subtype_apply 0.006504 s: linear_map.map_cod_restrict 0.005243 s: linear_map.range_le_iff_comap 0.002743 s: submodule.comap_top 0.000512 s: submodule.map_top 0.006618 s: submodule.map_comap_subtype 0.003610 s: submodule.range_subtype 0.046872 s: linear_independent.total_equiv._proof_3 0.050549 s: linear_independent.total_equiv 0.016229 s: linear_independent.repr 0.003396 s: finsupp.single_of_emb_domain_single 0.006829 s: finsupp.total_emb_domain 0.003167 s: finsupp.total_map_domain 0.019076 s: linear_independent.total_repr 0.029526 s: surjective_of_linear_independent_of_span 0.000589 s: subtype.mem 0.009516 s: eq_of_linear_independent_of_span_subtype 0.005216 s: le_of_span_le_span 0.000789 s: submodule.span_mono 0.001385 s: span_le_span_iff 0.000724 s: set.image_subset_image_iff 0.010273 s: finite_of_linear_independent 0.054178 s: finite_dimensional.exists_is_basis_finite 0.011421 s: finite_dimensional.exists_is_basis_finset 0.000154 s: cardinal.is_equivalent._match_1 0.000106 s: cardinal.is_equivalent._match_2 0.000098 s: cardinal.is_equivalent._match_3 0.000283 s: cardinal.is_equivalent._proof_1 0.000112 s: cardinal.is_equivalent 0.000061 s: cardinal 0.000485 s: function.embedding.trans._proof_1 0.000308 s: function.embedding.trans 0.000154 s: function.embedding.congr 0.000128 s: cardinal.has_le._match_1 0.000127 s: cardinal.has_le._match_2 0.000316 s: cardinal.has_le._match_3 0.000179 s: cardinal.has_le._match_4 0.000088 s: cardinal.has_le._proof_1 0.000187 s: cardinal.has_le 0.000106 s: function.injective_id 0.000039 s: function.embedding.refl 0.000392 s: cardinal.linear_order._proof_1 0.000494 s: cardinal.linear_order._proof_2 0.000078 s: cardinal.linear_order._proof_3 0.000143 s: lfp 0.000106 s: or_eq_of_eq_false_left 0.000070 s: and_eq_of_eq_false_left 0.000110 s: and_eq_of_eq_false_right 0.004959 s: set.image_union 0.001078 s: lfp_le 0.000587 s: le_lfp 0.000260 s: lfp_eq 0.012893 s: function.embedding.schroeder_bernstein 0.000377 s: function.embedding.antisymm 0.002768 s: cardinal.linear_order._proof_4 0.000149 s: ulift 0.000067 s: ulift.down 0.000060 s: ulift.cases_on 0.000193 s: ulift.up_down 0.000035 s: equiv.ulift._proof_1 0.000123 s: equiv.ulift 0.000142 s: _private.1867346213.sets 0.000179 s: zorn.chain.total 0.010863 s: function.embedding.min_injective 0.001619 s: function.embedding.total 0.003813 s: cardinal.linear_order._proof_5 0.000183 s: cardinal.linear_order._proof_6 0.000705 s: cardinal.linear_order._proof_7 0.000058 s: cardinal.linear_order._proof_8 0.001768 s: cardinal.linear_order._proof_9 0.001650 s: cardinal.linear_order 0.000099 s: quot.out 0.000067 s: quotient.out 0.000156 s: cardinal.min._proof_1 0.000088 s: cardinal.min 0.000711 s: vector_space.dim._proof_1 0.000033 s: cardinal.mk 0.000452 s: vector_space.dim 0.000369 s: cardinal.lift._match_1 0.000070 s: cardinal.lift._proof_1 0.000087 s: cardinal.lift 0.000018 s: cardinal.omega 0.000334 s: cardinal.lift_id' 0.000024 s: cardinal.lift_id 0.000195 s: cardinal.min_eq 0.000448 s: cardinal.mk_range_eq 0.000435 s: is_basis.injective 0.000123 s: sum.map._main 0.000057 s: sum.map 0.000787 s: sum.map_map 0.000309 s: sum.map_id_id 0.001587 s: equiv.sum_congr._proof_1 0.001425 s: equiv.sum_congr._proof_2 0.000676 s: equiv.sum_congr 0.000288 s: cardinal.has_add._match_1 0.000142 s: cardinal.has_add._match_2 0.000065 s: cardinal.has_add._proof_1 0.000097 s: cardinal.has_add 0.001249 s: equiv.sum_assoc._proof_1 0.001012 s: equiv.sum_assoc._proof_2 0.000356 s: equiv.sum_assoc 0.000538 s: cardinal.comm_semiring._proof_1 0.000039 s: pempty 0.000035 s: cardinal.has_zero 0.000092 s: sum.swap._main 0.000032 s: sum.swap 0.000377 s: sum.swap_swap 0.000143 s: equiv.sum_comm 0.000035 s: pempty.cases_on 0.000256 s: equiv.sum_pempty._proof_1 0.000069 s: equiv.sum_pempty._proof_2 0.000157 s: equiv.sum_pempty 0.000083 s: equiv.pempty_sum 0.000228 s: _private.4139825523.zero_add 0.000402 s: _private.326938349.add_comm 0.000207 s: cardinal.comm_semiring._proof_2 0.000125 s: add_comm_monoid.nsmul._default 0.000101 s: semiring.nsmul._default 0.000188 s: cardinal.comm_semiring._proof_3 0.000200 s: cardinal.comm_semiring._proof_4 0.000190 s: cardinal.comm_semiring._proof_5 0.000231 s: prod.map_mk 0.001880 s: equiv.prod_congr._match_1 0.000584 s: equiv.prod_congr._proof_1 0.001855 s: equiv.prod_congr._match_2 0.000447 s: equiv.prod_congr._proof_2 0.000922 s: equiv.prod_congr 0.000296 s: cardinal.has_mul._match_1 0.000171 s: cardinal.has_mul._match_2 0.000075 s: cardinal.has_mul._proof_1 0.000103 s: cardinal.has_mul 0.001019 s: equiv.prod_assoc._match_1 0.000348 s: equiv.prod_assoc._proof_1 0.000629 s: equiv.prod_assoc._match_2 0.000252 s: equiv.prod_assoc._proof_2 0.000378 s: equiv.prod_assoc 0.000464 s: cardinal.comm_semiring._proof_6 0.000032 s: cardinal.has_one 0.000235 s: equiv.prod_comm._match_1 0.000062 s: equiv.prod_comm._proof_1 0.000237 s: equiv.prod_comm._match_2 0.000101 s: equiv.prod_comm._proof_2 0.000224 s: equiv.prod_comm 0.000264 s: equiv.prod_punit._match_1 0.000069 s: equiv.prod_punit._proof_1 0.000058 s: equiv.prod_punit._proof_2 0.000151 s: equiv.prod_punit 0.000072 s: equiv.punit_prod 0.000304 s: _private.465478439.one_mul 0.000286 s: _private.4138093333.mul_comm 0.000203 s: cardinal.comm_semiring._proof_7 0.000156 s: cardinal.comm_semiring._proof_8 0.000230 s: cardinal.comm_semiring._proof_9 0.000191 s: cardinal.comm_semiring._proof_10 0.000083 s: equiv.equiv_pempty._proof_1 0.000058 s: equiv.equiv_pempty._proof_2 0.000133 s: equiv.equiv_pempty 0.000074 s: equiv.pempty_prod._match_1 0.000023 s: equiv.pempty_prod._proof_1 0.000057 s: equiv.pempty_prod 0.000231 s: _private.4239070525.zero_mul 0.000189 s: cardinal.comm_semiring._proof_11 0.000280 s: equiv.sum_prod_distrib._match_1 0.000175 s: equiv.sum_prod_distrib._match_2 0.000877 s: equiv.sum_prod_distrib._proof_1 0.000930 s: equiv.sum_prod_distrib._proof_2 0.000438 s: equiv.sum_prod_distrib 0.000514 s: equiv.prod_sum_distrib 0.000699 s: _private.3246141139.left_distrib 0.000933 s: cardinal.comm_semiring._proof_12 0.004090 s: cardinal.comm_semiring 0.000036 s: function.embedding.of_not_nonempty._proof_1 0.000087 s: function.embedding.of_not_nonempty._proof_2 0.000148 s: function.embedding.of_not_nonempty 0.000059 s: pempty.elim._main 0.000021 s: pempty.elim 0.000340 s: cardinal.zero_le 0.000916 s: cardinal.order_bot 0.001818 s: function.embedding.sum_map._match_1 0.000459 s: function.embedding.sum_map._proof_1 0.000276 s: function.embedding.sum_map 0.001079 s: cardinal.add_le_add 0.001043 s: cardinal.add_le_add_left 0.000919 s: cardinal.canonically_ordered_comm_semiring._proof_1 0.001989 s: cardinal.canonically_ordered_comm_semiring._proof_2 0.001503 s: equiv.set.union'._proof_1 0.000578 s: equiv.set.union'._proof_2 0.001058 s: equiv.set.union'._match_1 0.000316 s: equiv.set.union'._match_1._proof_1 0.000684 s: equiv.set.union'._match_1.equations._eqn_1 0.000399 s: equiv.set.union'._match_1._proof_2 0.000462 s: equiv.set.union'._match_1.equations._eqn_2 0.005512 s: equiv.set.union'._match_2 0.001439 s: equiv.set.union'._proof_3 0.004682 s: equiv.set.union'._proof_4 0.001587 s: equiv.set.union' 0.000066 s: equiv.set.union._proof_1 0.000427 s: equiv.set.union._proof_2 0.000480 s: equiv.set.union 0.000391 s: equiv.set.sum_compl._proof_1 0.000573 s: equiv.set.of_eq._proof_1 0.000444 s: equiv.set.of_eq._proof_2 0.001533 s: equiv.set.of_eq._proof_3 0.001414 s: equiv.set.of_eq._proof_4 0.000930 s: equiv.set.of_eq 0.000264 s: equiv.set.sum_compl._proof_2 0.000490 s: equiv.set.sum_compl 0.003344 s: cardinal.le_iff_exists_add 0.000051 s: empty 0.000072 s: equiv.equiv_empty._proof_1 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set.sigma_to_Union_surjective 0.001597 s: equiv.sigma_congr_right._match_1 0.000546 s: equiv.sigma_congr_right._proof_1 0.001356 s: equiv.sigma_congr_right._match_2 0.000555 s: equiv.sigma_congr_right._proof_2 0.000791 s: equiv.sigma_congr_right 0.000218 s: quot.out_eq 0.001162 s: cardinal.sum_mk 0.001236 s: cardinal.mk_Union_le_sum_mk 0.000149 s: sigma.map 0.002024 s: function.injective.sigma_map 0.001177 s: function.embedding.sigma_map._proof_1 0.000617 s: function.embedding.sigma_map 0.001797 s: cardinal.sum_le_sum 0.002681 s: cardinal.lift_lt 0.000185 s: function.embedding.equiv_of_surjective._proof_1 0.000270 s: function.embedding.equiv_of_surjective 0.000610 s: function.embedding.cod_restrict._proof_1 0.000290 s: function.embedding.cod_restrict 0.002584 s: cardinal.lift_down 0.001682 s: cardinal.lt_lift_iff 0.001616 s: cardinal.le_mk_iff_exists_set 0.000039 s: equiv.pempty_equiv_pempty 0.000479 s: cardinal.lift_zero 0.000933 s: cardinal.lift_add 0.000109 s: equiv.punit_equiv_punit._proof_1 0.000060 s: equiv.punit_equiv_punit._proof_2 0.000176 s: equiv.punit_equiv_punit 0.000547 s: cardinal.lift_one 0.001719 s: cardinal.lift_nat_cast 0.000037 s: equiv.pempty_of_not_nonempty._proof_1 0.000046 s: equiv.pempty_of_not_nonempty 0.001221 s: sigma.fintype._match_1 0.000167 s: sigma.fintype._proof_1 0.000279 s: sigma.fintype 0.000053 s: ulift.fintype 0.000274 s: equiv.sum_equiv_sigma_bool._match_1 0.000512 s: equiv.sum_equiv_sigma_bool._proof_1 0.000648 s: equiv.sum_equiv_sigma_bool._proof_2 0.000338 s: equiv.sum_equiv_sigma_bool 0.000338 s: sum.fintype 0.000039 s: punit.fintype 0.000044 s: trunc.out 0.000983 s: fintype.equiv_fin._proof_1 0.000861 s: fintype.equiv_fin._proof_2 0.000303 s: fintype.equiv_fin_of_forall_mem_list._proof_1 0.000099 s: fintype.equiv_fin_of_forall_mem_list._proof_2 0.001672 s: fintype.equiv_fin_of_forall_mem_list._proof_3 0.004560 s: list.nth_le_of_mem 0.037575 s: list.pairwise_iff_nth_le 0.007481 s: list.nodup_iff_nth_le_inj 0.001695 s: fintype.equiv_fin_of_forall_mem_list._match_1 0.000442 s: fintype.equiv_fin_of_forall_mem_list._proof_4 0.000769 s: fintype.equiv_fin_of_forall_mem_list 0.000073 s: fintype.equiv_fin._proof_3 0.001669 s: fintype.equiv_fin 0.000540 s: fintype.card_eq 0.001249 s: multiset.sum_zero 0.016603 s: multiset.card_join 0.003526 s: multiset.card_bind 0.002396 s: multiset.card_sigma 0.001448 s: finset.card_sigma 0.000921 s: fintype.card_sigma 0.004429 s: fintype.card_sum 0.001238 s: fintype.card_punit 0.005605 s: cardinal.mk_fin 0.000763 s: cardinal.lift_mk_fin 0.000518 s: cardinal.fintype_card 0.001705 s: equiv.arrow_congr._proof_1 0.001526 s: equiv.arrow_congr._proof_2 0.000579 s: equiv.arrow_congr 0.000535 s: cardinal.power._match_1 0.000240 s: cardinal.power._match_2 0.000106 s: cardinal.power._proof_1 0.000143 s: cardinal.power 0.000052 s: cardinal.has_pow 0.000392 s: equiv.Prop_equiv_bool._proof_1 0.000959 s: bool.to_bool_coe 0.000175 s: equiv.Prop_equiv_bool._proof_2 0.000093 s: equiv.Prop_equiv_bool 0.000436 s: cardinal.prop_eq_two 0.000069 s: ulift.no_confusion_type 0.000148 s: ulift.no_confusion 0.000088 s: ulift.up.inj 0.000051 s: iff_not_self 0.000230 s: function.cantor_surjective 0.000288 s: function.cantor_injective 0.000090 s: ulift.up.inj_arrow 0.002805 s: cardinal.cantor 0.000160 s: cardinal.succ._proof_1 0.000077 s: cardinal.succ 0.000084 s: cardinal.succ.equations._eqn_1 0.000251 s: cardinal.lt_succ_self 0.000149 s: quotient.out_eq 0.000087 s: cardinal.mk_out 0.000723 s: cardinal.min_le 0.001235 s: cardinal.succ_le 0.003110 s: cardinal.add_one_le_succ 0.000420 s: finset.card_le_of_subset 0.001681 s: finset.card_le_card_of_inj_on 0.000329 s: fintype.card_le_of_injective 0.001076 s: cardinal.nat_cast_le 0.003710 s: cardinal.nat_cast_lt 0.002411 s: cardinal.nat_succ 0.000068 s: cardinal.omega.equations._eqn_1 0.000648 s: cardinal.nat_lt_omega 0.005862 s: cardinal.lt_omega 0.000949 s: cardinal.lt_omega_iff_fintype 0.000294 s: cardinal.lt_omega_iff_finite 0.000063 s: cardinal.mk_def 0.000173 s: cardinal.mul_def 0.000866 s: cardinal.sum_const 0.002709 s: cardinal.wf 0.000254 s: is_strict_total_order' 0.000238 s: is_well_order 0.000192 s: Well_order 0.000058 s: Well_order.cases_on 0.000087 s: ordinal.is_equivalent._match_1 0.000074 s: ordinal.is_equivalent._match_2 0.000224 s: rel_iso.refl._proof_1 0.000214 s: rel_iso.refl 0.000277 s: ordinal.is_equivalent._match_3 0.000376 s: ordinal.is_equivalent._match_4 0.000200 s: ordinal.is_equivalent._match_5 0.000136 s: ordinal.is_equivalent._match_6 0.000584 s: ordinal.is_equivalent._match_7 0.000577 s: ordinal.is_equivalent._match_8 0.000336 s: ordinal.is_equivalent._match_9 0.000330 s: ordinal.is_equivalent._match_10 0.000166 s: ordinal.is_equivalent._match_11 0.000188 s: ordinal.is_equivalent._proof_1 0.000106 s: ordinal.is_equivalent 0.000027 s: ordinal 0.000209 s: well_founded.min 0.001174 s: principal_seg 0.000082 s: ordinal.lt._match_1 0.000057 s: ordinal.lt._match_2 0.000814 s: function.embedding.trans_apply 0.001706 s: rel_embedding.trans._proof_1 0.000296 s: rel_embedding.trans 0.000268 s: principal_seg.to_rel_embedding 0.000138 s: principal_seg.rel_embedding.has_coe 0.000287 s: principal_seg.top 0.000282 s: principal_seg.has_coe_to_fun 0.001306 s: principal_seg.down 0.001720 s: principal_seg.coe_fn_to_rel_embedding 0.001422 s: rel_embedding.coe_trans 0.001065 s: principal_seg.coe_coe_fn 0.001066 s: rel_iso.coe_coe_fn 0.001740 s: rel_iso.apply_symm_apply 0.001024 s: principal_seg.equiv_lt._match_1 0.000458 s: principal_seg.equiv_lt._match_2 0.002649 s: principal_seg.equiv_lt._proof_1 0.000414 s: principal_seg.equiv_lt 0.001108 s: initial_seg 0.000308 s: initial_seg.to_rel_embedding 0.000116 s: initial_seg.rel_embedding.has_coe 0.000201 s: initial_seg.has_coe_to_fun 0.002220 s: initial_seg.init 0.001700 s: initial_seg.init' 0.002252 s: initial_seg.init_iff 0.000746 s: principal_seg.down' 0.001435 s: rel_embedding.trans_apply 0.003422 s: principal_seg.lt_le._proof_1 0.000679 s: principal_seg.lt_le 0.001529 s: initial_seg.of_iso._proof_1 0.000259 s: initial_seg.of_iso 0.001488 s: ordinal.lt._match_3 0.000727 s: ordinal.lt._match_4 0.000860 s: ordinal.lt._match_5 0.000577 s: ordinal.lt._match_6 0.000629 s: ordinal.lt._match_7 0.000373 s: ordinal.lt._match_8 0.000247 s: ordinal.lt._match_9 0.000184 s: ordinal.lt._match_10 0.000090 s: ordinal.lt._proof_1 0.000173 s: ordinal.lt 0.000042 s: ordinal.has_lt 0.000115 s: ordinal.type 0.000184 s: ordinal.induction_on 0.000338 s: subrel 0.000092 s: is_strict_total_order'.to_is_trichotomous 0.000186 s: is_trichotomous.dcases_on 0.000641 s: rel_embedding.is_trichotomous 0.000212 s: rel_embedding.is_irrefl 0.000278 s: rel_embedding.is_strict_order 0.000059 s: is_strict_total_order'.to_is_strict_order 0.000284 s: rel_embedding.is_strict_total_order' 0.000064 s: is_well_order.to_is_strict_total_order' 0.000824 s: rel_embedding.acc 0.000425 s: rel_embedding.well_founded 0.000067 s: is_well_order.wf 0.000193 s: rel_embedding.is_well_order 0.000467 s: subrel.rel_embedding._proof_1 0.000691 s: subrel.rel_embedding 0.000214 s: subrel.is_well_order 0.000098 s: ordinal.typein._proof_1 0.000154 s: ordinal.typein 0.000252 s: rel_iso.of_surjective._proof_1 0.000155 s: rel_iso.of_surjective._proof_2 0.002667 s: rel_iso.of_surjective 0.001409 s: rel_embedding.cod_restrict 0.000298 s: principal_seg.lt_top 0.002807 s: ordinal.typein_top 0.000644 s: ordinal.typein_surj 0.000103 s: ordinal.le._match_1 0.000055 s: ordinal.le._match_2 0.001050 s: initial_seg.coe_fn_to_rel_embedding 0.004512 s: initial_seg.trans._proof_1 0.000403 s: initial_seg.trans 0.000672 s: ordinal.le._match_3 0.000740 s: ordinal.le._match_4 0.001153 s: ordinal.le._match_5 0.000666 s: ordinal.le._match_6 0.000667 s: ordinal.le._match_7 0.000799 s: ordinal.le._match_8 0.000615 s: ordinal.le._match_9 0.000265 s: ordinal.le._match_10 0.000125 s: ordinal.le._proof_1 0.000154 s: ordinal.le 0.000051 s: ordinal.has_le 0.000216 s: rel_embedding.refl._proof_1 0.000336 s: rel_embedding.refl 0.000558 s: initial_seg.refl._proof_1 0.000252 s: initial_seg.refl 0.000897 s: ordinal.partial_order._match_1 0.000133 s: ordinal.partial_order._proof_1 0.001048 s: ordinal.partial_order._match_2 0.000565 s: ordinal.partial_order._match_3 0.000316 s: ordinal.partial_order._match_4 0.000307 s: ordinal.partial_order._match_5 0.000226 s: ordinal.partial_order._match_6 0.000178 s: ordinal.partial_order._proof_2 0.000376 s: principal_seg.init 0.000164 s: principal_seg.has_coe_initial_seg._proof_1 0.001004 s: principal_seg.has_coe_initial_seg 0.000065 s: is_well_order.is_trans 0.000055 s: is_well_order.is_irrefl 0.000250 s: is_extensional 0.000429 s: initial_seg.cases_on 0.000076 s: is_extensional.ext 0.005537 s: initial_seg.unique_of_extensional 0.000210 s: is_extensional_of_is_strict_total_order' 0.000119 s: is_well_order.is_extensional 0.000271 s: initial_seg.subsingleton 0.000234 s: initial_seg.eq 0.002153 s: principal_seg.irrefl 0.000620 s: ordinal.partial_order._match_7 0.000931 s: ordinal.partial_order._match_8 0.000397 s: initial_seg.lt_or_eq._proof_1 0.000067 s: is_well_order.is_trichotomous 0.001199 s: initial_seg.eq_or_principal 0.000349 s: initial_seg.lt_or_eq._proof_2 0.001654 s: initial_seg.lt_or_eq 0.001579 s: ordinal.partial_order._match_9 0.000591 s: ordinal.partial_order._match_10 0.000206 s: ordinal.partial_order._match_11 0.000132 s: ordinal.partial_order._proof_3 0.002634 s: initial_seg.antisymm.aux 0.000336 s: initial_seg.antisymm._proof_1 0.000178 s: initial_seg.antisymm._proof_2 0.001152 s: initial_seg.antisymm 0.000590 s: ordinal.partial_order._match_12 0.000373 s: ordinal.partial_order._match_13 0.000259 s: ordinal.partial_order._match_14 0.000159 s: ordinal.partial_order._match_15 0.000117 s: ordinal.partial_order._proof_4 0.000324 s: ordinal.partial_order 0.001440 s: principal_seg.of_element._match_1 0.000853 s: principal_seg.of_element._proof_1 0.000241 s: principal_seg.of_element 0.000416 s: ordinal.typein_lt_type 0.000221 s: principal_seg.trans 0.000383 s: principal_seg.cases_on 0.005902 s: principal_seg.subsingleton 0.003338 s: principal_seg.cod_restrict._match_1 0.001483 s: principal_seg.cod_restrict._proof_1 0.001419 s: principal_seg.cod_restrict 0.002866 s: ordinal.typein_lt_typein 0.001697 s: ordinal.wf 0.000370 s: ordinal.min._match_1 0.000157 s: ordinal.min 0.000275 s: cardinal.nontrivial 0.001107 s: cardinal.le_sum 0.001943 s: nonempty_embedding_to_cardinal 0.000039 s: embedding_to_cardinal 0.000120 s: well_ordering_rel 0.000183 s: has_lt.lt.is_strict_total_order' 0.002440 s: cardinal.wo 0.000249 s: well_ordering_rel.is_well_order 0.000073 s: cardinal.ord._proof_1 0.000070 s: cardinal.ord._proof_2 0.000880 s: sum.lex 0.000685 s: sum.lex.dcases_on 0.001264 s: sum.lex_inl_inl 0.000808 s: sum.lex_inr_inl 0.000900 s: sum.lex_inr_inr 0.002669 s: sum.lex_acc_inr 0.002100 s: sum.lex_acc_inl 0.000488 s: sum.lex_wf 0.003358 s: sum.lex.is_well_order 0.000256 s: ordinal.has_add._match_3 0.000056 s: ordinal.has_add._match_4 0.000492 s: rel_iso.cases_on 0.000890 s: equiv.sum_congr_apply 0.000197 s: sum.map_inl 0.000198 s: sum.map_inr 0.004338 s: rel_iso.sum_lex_congr._proof_1 0.000544 s: rel_iso.sum_lex_congr 0.001151 s: ordinal.has_add._match_5 0.000558 s: ordinal.has_add._match_6 0.000494 s: ordinal.has_add._match_7 0.000360 s: ordinal.has_add._match_8 0.000260 s: ordinal.has_add._match_9 0.000204 s: ordinal.has_add._match_10 0.000051 s: ordinal.has_add._proof_1 0.000153 s: ordinal.has_add 0.000092 s: trichotomous_of 0.000015 s: empty_relation 0.000365 s: empty_relation.is_well_order 0.000045 s: subsingleton_pempty 0.000061 s: ordinal.has_zero 0.000602 s: equiv.sum_assoc_apply_in1 0.000318 s: equiv.sum_assoc_apply_in2 0.000310 s: equiv.sum_assoc_apply_in3 0.004172 s: ordinal.add_monoid._match_1 0.000598 s: ordinal.add_monoid._match_2 0.000189 s: ordinal.add_monoid._match_3 0.000140 s: ordinal.add_monoid._proof_1 0.001674 s: ordinal.add_monoid._proof_2 0.000777 s: ordinal.add_monoid._proof_3 0.000979 s: ordinal.add_monoid._proof_4 0.000614 s: ordinal.add_monoid._proof_5 0.001626 s: ordinal.add_monoid._proof_6 0.001680 s: ordinal.add_monoid._proof_7 0.001471 s: ordinal.add_monoid 0.000109 s: rel_embedding.collapse._proof_1 0.000076 s: is_well_order.is_asymm 0.000105 s: rel_embedding.collapse_F._proof_1 0.000747 s: rel_embedding.collapse_F._proof_2 0.000469 s: well_founded.not_lt_min 0.001125 s: rel_embedding.collapse_F._proof_3 0.001171 s: rel_embedding.collapse_F 0.001136 s: rel_embedding.collapse_F.equations._eqn_1 0.000610 s: well_founded.min_mem 0.003188 s: rel_embedding.collapse_F.lt 0.000271 s: rel_embedding.collapse._proof_2 0.002616 s: rel_embedding.collapse_F.not_lt 0.002852 s: rel_embedding.collapse._proof_3 0.000928 s: rel_embedding.collapse 0.000815 s: ordinal.type_le' 0.009088 s: ordinal.add_le_add_right 0.001624 s: ordinal.zero_le 0.001149 s: ordinal.le_add_left 0.007453 s: ordinal.add_le_add_left 0.000479 s: ordinal.le_add_right 0.003190 s: ordinal.le_total 0.000826 s: ordinal.linear_order 0.001406 s: ordinal.min_le 0.000599 s: ordinal.min_eq 0.001768 s: ordinal.le_min 0.000183 s: rel_iso.preimage._proof_1 0.000307 s: rel_iso.preimage 0.002282 s: cardinal.ord._proof_3 0.000160 s: cardinal.ord 0.001525 s: cardinal.ord_eq 0.000064 s: partial_order_of_SO._proof_1 0.000730 s: partial_order_of_SO._match_1 0.000129 s: partial_order_of_SO._proof_2 0.000232 s: partial_order_of_SO._match_3 0.000379 s: partial_order_of_SO._proof_3 0.002373 s: partial_order_of_SO._match_2 0.002120 s: partial_order_of_SO._proof_4 0.001894 s: partial_order_of_SO 0.000131 s: linear_order_of_STO'._proof_1 0.000252 s: linear_order_of_STO'._proof_2 0.000306 s: linear_order_of_STO'._proof_3 0.000302 s: linear_order_of_STO'._proof_4 0.001347 s: linear_order_of_STO'._match_1 0.000318 s: linear_order_of_STO'._proof_5 0.000102 s: linear_order_of_STO'._proof_6 0.000092 s: linear_order_of_STO'._proof_7 0.000169 s: linear_order_of_STO'._proof_8 0.000240 s: linear_order_of_STO'._proof_9 0.000064 s: asymm_of 0.000799 s: linear_order_of_STO'._proof_10 0.001529 s: linear_order_of_STO' 0.001019 s: prod.lex 0.000115 s: ordinal.card._match_1 0.001101 s: ordinal.card._match_2 0.000282 s: ordinal.card._match_3 0.000122 s: ordinal.card._match_4 0.000045 s: ordinal.card._proof_1 0.000056 s: ordinal.card 0.001353 s: ordinal.card_le_card 0.000410 s: prod.lex.is_well_order._match_2 0.000460 s: prod.lex.is_well_order._match_1 0.000292 s: prod.lex.is_well_order._match_3 0.000222 s: prod.lex.is_well_order._match_4 0.000607 s: prod.lex.dcases_on 0.001775 s: prod.lex.is_well_order._match_5 0.000213 s: prod.lex.rec_on 0.000861 s: prod.lex_accessible 0.000203 s: prod.lex_wf 0.003116 s: prod.lex.is_well_order 0.000516 s: ordinal.has_lt.lt.is_well_order 0.000225 s: le_of_forall_lt 0.000269 s: ordinal.card_type 0.000965 s: cardinal.ord_le_type 0.002402 s: cardinal.ord_le 0.003251 s: cardinal.lt_ord 0.000099 s: ordinal.has_one 0.000063 s: ordinal.succ 0.002087 s: prod.lex_def 0.000554 s: injective_of_increasing 0.000286 s: ordinal.typein_injective 0.000087 s: ordinal.typein_inj 0.000306 s: equiv.subtype_prod_equiv_prod._proof_1 0.000137 s: equiv.subtype_prod_equiv_prod._proof_2 0.000322 s: equiv.subtype_prod_equiv_prod._proof_3 0.001523 s: equiv.subtype_prod_equiv_prod._match_1 0.000676 s: equiv.subtype_prod_equiv_prod._proof_4 0.001276 s: equiv.subtype_prod_equiv_prod._match_2 0.000594 s: equiv.subtype_prod_equiv_prod._proof_5 0.001286 s: equiv.subtype_prod_equiv_prod 0.000972 s: equiv.set.prod 0.000397 s: equiv.set.insert._proof_1 0.001117 s: equiv.set.insert._proof_2 0.001117 s: equiv.set.singleton._match_1 0.000335 s: equiv.set.singleton._proof_1 0.000393 s: equiv.set.singleton._match_2 0.000187 s: equiv.set.singleton._proof_2 0.000301 s: equiv.set.singleton 0.001134 s: equiv.set.insert 0.000060 s: set.decidable_set_of 0.004262 s: cardinal.mul_lt_omega 0.000095 s: ordinal.is_limit 0.000203 s: cardinal.omega_ne_zero 0.000172 s: ordinal.card_zero 0.000644 s: ordinal.le_zero 0.000934 s: cardinal.card_ord 0.000174 s: ordinal.card_one 0.000790 s: ordinal.card_add 0.000492 s: ordinal.lift._match_2 0.001315 s: ordinal.lift._match_3 0.000230 s: ordinal.lift._match_4 0.000205 s: ordinal.lift._match_5 0.000059 s: ordinal.lift._proof_1 0.000126 s: ordinal.lift 0.000902 s: nat.lt.is_well_order 0.000071 s: ordinal.omega 0.000326 s: ordinal.omin._match_1 0.000126 s: ordinal.omin 0.000502 s: ordinal.sub._proof_1 0.000072 s: ordinal.sub 0.000024 s: ordinal.has_sub 0.000061 s: quotient.decidable_eq._proof_1 0.000204 s: quotient.decidable_eq._match_1 0.000305 s: quotient.decidable_eq 0.000480 s: sum.inl_ne_inr 0.002026 s: ordinal.lt_succ_self 0.005639 s: ordinal.succ_le 0.001104 s: ordinal.succ_lt_of_not_succ 0.000728 s: ordinal.zero_or_succ_or_limit 0.000573 s: ordinal.add_succ 0.001561 s: ordinal.omin_mem 0.000906 s: ordinal.le_add_sub 0.000480 s: ordinal.le_omin 0.000803 s: ordinal.omin_le 0.000912 s: ordinal.sub_le 0.000597 s: ordinal.lt_sub 0.000317 s: ordinal.enum._match_1 0.000296 s: ordinal.type_eq 0.000583 s: principal_seg.top_eq 0.001523 s: ordinal.enum._match_2 0.000408 s: ordinal.enum._match_3 0.000356 s: ordinal.enum._match_4 0.000156 s: ordinal.enum._proof_1 0.000223 s: ordinal.enum 0.000280 s: ordinal.is_limit.pos 0.000674 s: ordinal.enum_type 0.000423 s: ordinal.enum_typein 0.000358 s: ordinal.typein_enum 0.059596 s: ordinal.add_le_of_limit 0.005328 s: ordinal.add_sub_cancel_of_le 0.000059 s: ordinal.omega.equations._eqn_1 0.000716 s: ordinal.one_eq_type_unit 0.002061 s: ordinal.lift_one 0.000258 s: ordinal.one_eq_lift_type_unit 0.002376 s: ordinal.lift_add 0.001679 s: ordinal.lift_umax 0.002431 s: ordinal.lift_type_le 0.000884 s: ordinal.lift_le 0.000421 s: ordinal.type_add 0.000077 s: has_lt.lt.is_asymm 0.005975 s: ordinal.one_add_omega 0.000828 s: ordinal.one_add_of_omega_le 0.001557 s: ordinal.lift_lt 0.001138 s: ordinal.lift_id' 0.000028 s: ordinal.lift_id 0.002640 s: ordinal.lift_type_eq 0.001189 s: ordinal.lift_down' 0.000417 s: ordinal.lift_card 0.000149 s: ordinal.lift_down 0.000829 s: ordinal.lt_lift_iff 0.000066 s: cardinal.lift_omega 0.003531 s: cardinal.ord_omega 0.000600 s: cardinal.ord_le_ord 0.002205 s: cardinal.add_one_of_omega_le 0.001200 s: ordinal.succ_lt_of_is_limit 0.000722 s: ordinal.le_succ_of_is_limit 0.001389 s: ordinal.card_nat 0.000578 s: cardinal.ord_lt_ord 0.006105 s: cardinal.ord_nat 0.000444 s: ordinal.nat_le_card 0.001516 s: ordinal.nat_lt_card 0.002630 s: ordinal.card_le_nat 0.001701 s: ordinal.card_eq_nat 0.000932 s: ordinal.lt_omega 0.000200 s: ordinal.nat_lt_omega 0.000392 s: ordinal.omega_pos 0.000569 s: ordinal.omega_ne_zero 0.001246 s: ordinal.omega_is_limit 0.000065 s: ordinal.succ.equations._eqn_1 0.000374 s: ordinal.card_succ 0.007087 s: cardinal.ord_is_limit 0.000415 s: canonically_ordered_semiring.mul_le_mul_left' 0.002610 s: cardinal.one_lt_omega 0.019187 s: cardinal.mul_eq_self 0.000242 s: canonically_ordered_semiring.mul_le_mul_right' 0.006417 s: cardinal.mul_eq_max 0.019833 s: linear_independent.repr_eq 0.010908 s: linear_independent.repr_eq_single 0.012133 s: is_basis.repr_eq_single 0.000492 s: set.union_insert 0.000414 s: set.insert_subset_insert 0.003261 s: submodule.span_insert_eq_span 0.015713 s: submodule.span_union 0.010024 s: submodule.mem_sup 0.001283 s: exists_comm 0.004851 s: submodule.mem_span_insert 0.024059 s: mem_span_insert_exchange 0.000671 s: set.union_subset_union 0.028205 s: exists_of_linear_independent_of_finite_span 0.004430 s: exists_finite_card_le_of_finite_of_linear_independent_of_span 0.003820 s: cardinal.nat_cast_inj 0.000928 s: fintype.card_coe 0.000645 s: cardinal.finset_card 0.021458 s: is_basis.le_span 0.009408 s: mk_eq_mk_of_basis 0.000368 s: mk_eq_mk_of_basis' 0.002348 s: is_basis.range 0.002535 s: is_basis.mk_eq_dim'' 0.000905 s: is_basis.mk_range_eq_dim 0.001467 s: is_basis.mk_eq_dim 0.000218 s: set.finite.exists_finset_coe 0.000999 s: submodule.fg_def 0.002776 s: submodule.span_image 0.001409 s: submodule.fg_map 0.000186 s: is_noetherian.noetherian 0.002538 s: set_like.coe_mono 0.000261 s: set.image_subset_range 0.005078 s: linear_map.map_le_range 0.000903 s: submodule.map_comap_le 0.011883 s: linear_map.map_comap_eq 0.008300 s: linear_map.map_comap_eq_self 0.008284 s: is_noetherian_of_surjective 0.000220 s: set_like.coe_set_eq 0.000432 s: set_like.ext'_iff 0.002274 s: linear_map.range_coe 0.002081 s: linear_map.range_eq_top 0.002300 s: linear_equiv.range 0.001213 s: is_noetherian_of_linear_equiv 0.001010 s: submodule.restricted_module 0.011812 s: is_noetherian_ring 0.005173 s: is_noetherian_ring.to_is_noetherian 0.012558 s: submodule.span_empty 0.000982 s: submodule.fg_bot 0.000305 s: or.by_cases.equations._eqn_1 0.000398 s: finset.nonempty_of_sum_ne_zero 0.000452 s: finset.sum_filter_ne_zero 0.000999 s: finset.exists_ne_zero_of_sum_ne_zero 0.004013 s: finsupp.support_sum 0.000828 s: finset.mem_of_subset 0.001478 s: finset.bUnion_mono 0.001242 s: finset.bUnion_singleton 0.001210 s: finsupp.map_domain_support 0.006092 s: finsupp.supported_comap_lmap_domain 0.000265 s: function.inv_fun_on_mem 0.003936 s: finsupp.map_domain_comp 0.004035 s: finsupp.lmap_domain_comp 0.001101 s: finsupp.map_domain_congr 0.000489 s: finsupp.map_domain_id 0.009798 s: finsupp.lmap_domain_supported 0.053710 s: submodule.fg_of_fg_map_of_fg_inf_ker 0.010214 s: is_noetherian_prod._match_1 0.014655 s: is_noetherian_prod 1.111864 s: is_noetherian_pi 0.125837 s: is_noetherian_of_fg_of_noetherian 0.000167 s: ideal 0.001208 s: submodule.is_principal 0.091969 s: is_principal_ideal_ring 0.011706 s: is_noetherian_ring_iff 0.000621 s: submodule.is_principal.principal 0.025954 s: is_principal_ideal_ring.principal 0.083451 s: principal_ideal_ring.is_noetherian_ring 0.000283 s: decidable.or_iff_not_and_not 0.000040 s: or_iff_not_and_not 0.072434 s: euclidean_domain.integral_domain._proof_1 0.017350 s: euclidean_domain.integral_domain 0.000294 s: ideal.span 0.002838 s: ideal.mem_span_singleton' 0.002755 s: ideal.mem_span_singleton 0.011317 s: euclidean_domain.mod_eq_zero 0.001258 s: ideal.add_mem 0.001625 s: ideal.mul_mem_left 0.001546 s: ideal.mul_mem_right 0.005037 s: euclidean_domain.mod_eq_sub_mul_div 0.031489 s: ideal.sub_mem 0.011021 s: mod_mem_iff 0.002880 s: euclidean_domain.to_principal_ideal_domain._match_1 0.005510 s: euclidean_domain.r_well_founded 0.001497 s: submodule.bot_coe 0.002184 s: ideal.zero_mem 0.194908 s: euclidean_domain.to_principal_ideal_domain 0.281738 s: finite_dimensional.finite_dimensional_iff_dim_lt_omega 0.046082 s: finsupp.lmap_domain_total 0.024986 s: linear_map.ker_comp 0.006617 s: finsupp.supported_univ 0.001987 s: submodule.comap_bot 0.008100 s: submodule.map_mono 0.044559 s: submodule.map_inf_eq_map_inf_comap 0.041619 s: linear_independent.map 0.009371 s: linear_independent.map' 0.018122 s: linear_map.ker_eq_bot_of_injective 0.003995 s: linear_equiv.ker 0.002286 s: linear_equiv.coe_coe 0.006135 s: linear_equiv.is_basis 0.003189 s: linear_equiv.lift_dim_eq 0.000863 s: linear_equiv.dim_eq 0.025906 s: dim_top 0.007453 s: linear_independent.of_comp 0.007646 s: linear_independent_span 0.002997 s: submodule.subtype_eq_val 0.001652 s: set_like.coe_eq_coe 0.038584 s: is_basis_span 0.035022 s: dim_span 0.065478 s: dim_span_set 0.000624 s: cardinal.mk_le_mk_of_subset 0.048972 s: dim_span_le 0.040135 s: finite_dimensional.iff_fg 0.009214 s: finite_dimensional.of_fintype_basis 0.001372 s: prod.fintype._match_1 0.000282 s: prod.fintype._proof_1 0.000267 s: prod.fintype 0.001447 s: ite_smul 0.000830 s: finset.sum_extend_by_zero 0.006282 s: linear_independent_iff'' 0.002364 s: add_monoid_hom.add_comm_monoid._proof_1 0.000061 s: add_monoid_hom.has_zero._proof_1 0.000114 s: add_monoid_hom.has_zero._proof_2 0.000277 s: add_monoid_hom.has_zero 0.001054 s: add_monoid_hom.add_comm_monoid._proof_2 0.000945 s: add_monoid_hom.add_comm_monoid._proof_3 0.002515 s: add_monoid_hom.add_comm_monoid._proof_4 0.001583 s: add_monoid_hom.add_comm_monoid._proof_5 0.000635 s: add_monoid_hom.zero_apply 0.013285 s: add_monoid_hom.add_comm_monoid._proof_6 0.013592 s: add_monoid_hom.add_comm_monoid._proof_7 0.007714 s: add_monoid_hom.add_comm_monoid._proof_8 0.008197 s: add_monoid_hom.add_comm_monoid 0.010432 s: add_monoid_hom.flip._proof_1 0.003452 s: add_monoid_hom.flip._proof_2 0.019258 s: add_monoid_hom.flip._proof_3 0.019617 s: add_monoid_hom.flip._proof_4 0.007243 s: add_monoid_hom.flip 0.000944 s: const_smul_hom_apply 0.004313 s: smul_add_hom._proof_1 0.004411 s: smul_add_hom._proof_2 0.000490 s: smul_add_hom 0.002695 s: finset.sum_smul 0.001399 s: finset.subset_product 0.035029 s: linear_independent_smul 0.000130 s: set.has_scalar 0.000462 s: set.mem_smul 0.006623 s: set.range_smul_range 0.001455 s: 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nnreal.mul_finset_sup 0.059228 s: pi.semi_normed_space._proof_1 0.037584 s: pi.semi_normed_space 0.004576 s: pi.normed_space._proof_1 0.001443 s: pi.normed_space 0.001133 s: linear_equiv.to_continuous_linear_equiv._proof_1 0.000992 s: linear_equiv.to_continuous_linear_equiv._proof_2 0.000703 s: linear_equiv.to_continuous_linear_equiv._proof_3 0.000559 s: linear_equiv.to_continuous_linear_equiv._proof_4 0.000376 s: module_equiv_finsupp._proof_1 0.000328 s: module_equiv_finsupp._proof_2 0.011171 s: module_equiv_finsupp 0.000940 s: is_basis.equiv_fun._proof_1 0.007186 s: is_basis.equiv_fun._proof_2 0.002275 s: finsupp.equiv_fun_on_fintype._proof_1 0.002583 s: finsupp.equiv_fun_on_fintype._proof_2 0.002305 s: finsupp.equiv_fun_on_fintype._proof_3 0.000878 s: finsupp.equiv_fun_on_fintype 0.000281 s: is_basis.equiv_fun._proof_3 0.000117 s: is_basis.equiv_fun._proof_4 0.018795 s: is_basis.equiv_fun 0.003394 s: pi.add_zero_class._proof_1 0.001559 s: pi.add_zero_class._proof_2 0.000369 s: pi.add_zero_class 0.000235 s: add_monoid_hom.apply._proof_1 0.000210 s: add_monoid_hom.apply._proof_2 0.001521 s: add_monoid_hom.apply 0.002573 s: finset.sum_apply 0.000397 s: fintype.sum_apply 0.000666 s: mul_ite 0.001554 s: mul_boole 0.007072 s: pi_eq_sum_univ 0.005178 s: linear_map.pi_apply_eq_sum_univ 0.000943 s: continuous_list_sum 0.001696 s: continuous_multiset_sum 0.000698 s: continuous_finset_sum 0.033746 s: continuous_infi_dom 0.000559 s: continuous_apply 0.075643 s: linear_map.continuous_on_pi 0.000060 s: empty.cases_on 0.000043 s: empty.elim._main 0.000026 s: empty.elim 0.000091 s: empty.fintype._proof_1 0.000053 s: empty.fintype 0.001609 s: fintype.card_empty 0.010219 s: fintype.card_eq_zero_iff 0.000309 s: linear_map.proj._proof_1 0.000949 s: linear_map.proj._proof_2 0.003533 s: linear_map.proj 0.001088 s: normal_space 0.000374 s: normal_space.to_t1_space 0.000276 s: locally_finite 0.001513 s: paracompact_space 0.002115 s: set_coe.forall' 0.000213 s: option.elim._main 0.000040 s: option.elim 0.001221 s: set.exists_range_iff' 0.000975 s: set.Union_eq_univ_iff 0.000763 s: paracompact_space.locally_finite_refinement 0.563657 s: precise_refinement 0.000320 s: option.forall 0.007447 s: is_lub_supr 0.000719 s: supr_le_iff 0.004552 s: supr_option 0.001699 s: set.Union_option 0.000120 s: option.elim._main.equations._eqn_1 0.000064 s: option.elim.equations._eqn_1 0.000162 s: option.elim._main.equations._eqn_2 0.000124 s: option.elim.equations._eqn_2 0.001102 s: set.compl_subset_iff_union 0.001290 s: set.subset_compl_comm 0.001570 s: locally_finite.comp_injective 0.003876 s: precise_refinement_set 0.005275 s: locally_finite.is_closed_Union 0.000286 s: interior_mem_nhds 0.000142 s: set.subset_eq_empty 0.000258 s: is_closed_empty 0.000112 s: closure_empty 0.000191 s: closure_empty_iff 0.000505 s: closure_nonempty_iff 0.000060 s: set.nonempty.of_closure 0.010287 s: closure_inter_open 0.001050 s: closure_inter_open' 0.001627 s: locally_finite.closure 0.000659 s: locally_finite.closure_Union 0.001218 s: set.compl_Union 0.000197 s: disjoint_compl_right 0.056795 s: normal_of_paracompact_t2 0.036278 s: eq_of_forall_edist_le 0.007058 s: to_separated 0.000649 s: strong_rec'._main._pack._wf_rec_mk_dec_tactic._aux_1 0.000201 s: nat.strong_rec'._main._pack 0.000062 s: nat.strong_rec'._main 0.000037 s: nat.strong_rec' 0.000049 s: nat.strong_rec_on' 0.000097 s: nat.strong_rec_on'.equations._eqn_1 0.000297 s: nat.strong_rec'._main._pack.equations._eqn_1 0.000147 s: nat.strong_rec'._main.equations._eqn_1 0.000087 s: nat.strong_rec'.equations._eqn_1 0.001306 s: nat.strong_rec_on_beta' 0.003207 s: emetric.nhds_basis_eball 0.000531 s: emetric.mem_nhds_iff 0.002857 s: emetric.is_open_iff 0.000355 s: ennreal.has_sub 0.001078 s: bot_lt_iff_ne_bot 0.023357 s: ennreal.bot_lt_iff_ne_bot 0.039174 s: ennreal.sub_eq_zero_of_le 0.002637 s: ennreal.forall_ennreal 0.023845 s: ennreal.le_coe_iff 0.011952 s: ennreal.top_sub_coe 0.029664 s: ennreal.sub_infty 0.000092 s: nnreal.has_sub 0.033535 s: nnreal.coe_sub 0.036528 s: nnreal.sub_eq_zero 0.043854 s: nnreal.sub_le_iff_le_add 0.019908 s: ennreal.coe_sub 0.000138 s: nnreal.sub_def 0.002706 s: nnreal.coe_max 0.000182 s: nnreal.coe_mk 0.007923 s: linear_ordered_add_comm_monoid 0.001639 s: linear_ordered_add_comm_monoid.le 0.001324 s: linear_ordered_add_comm_monoid.lt 0.001556 s: linear_ordered_add_comm_monoid.le_refl 0.001389 s: linear_ordered_add_comm_monoid.le_trans 0.001311 s: linear_ordered_add_comm_monoid.lt_iff_le_not_le 0.001585 s: linear_ordered_add_comm_monoid.le_antisymm 0.002139 s: linear_ordered_add_comm_monoid.le_total 0.002023 s: linear_ordered_add_comm_monoid.decidable_le 0.001499 s: linear_ordered_add_comm_monoid.decidable_eq 0.003038 s: linear_ordered_add_comm_monoid.decidable_lt 0.000464 s: linear_ordered_add_comm_monoid.to_linear_order 0.009596 s: linear_ordered_cancel_add_comm_monoid 0.001837 s: linear_ordered_cancel_add_comm_monoid.le 0.002671 s: linear_ordered_cancel_add_comm_monoid.lt 0.001950 s: linear_ordered_cancel_add_comm_monoid.le_refl 0.001545 s: linear_ordered_cancel_add_comm_monoid.le_trans 0.002449 s: linear_ordered_cancel_add_comm_monoid.lt_iff_le_not_le 0.003722 s: linear_ordered_cancel_add_comm_monoid.le_antisymm 0.003832 s: linear_ordered_cancel_add_comm_monoid.le_total 0.003817 s: linear_ordered_cancel_add_comm_monoid.decidable_le 0.001463 s: linear_ordered_cancel_add_comm_monoid.decidable_eq 0.002440 s: linear_ordered_cancel_add_comm_monoid.decidable_lt 0.001449 s: linear_ordered_cancel_add_comm_monoid.add 0.001815 s: linear_ordered_cancel_add_comm_monoid.add_assoc 0.001747 s: linear_ordered_cancel_add_comm_monoid.zero 0.002123 s: linear_ordered_cancel_add_comm_monoid.zero_add 0.002347 s: linear_ordered_cancel_add_comm_monoid.add_zero 0.001689 s: linear_ordered_cancel_add_comm_monoid.nsmul 0.002342 s: linear_ordered_cancel_add_comm_monoid.nsmul_zero' 0.002210 s: linear_ordered_cancel_add_comm_monoid.nsmul_succ' 0.001708 s: linear_ordered_cancel_add_comm_monoid.add_comm 0.001902 s: linear_ordered_cancel_add_comm_monoid.add_left_cancel 0.006392 s: linear_ordered_cancel_add_comm_monoid.add_le_add_left 0.005366 s: linear_ordered_cancel_add_comm_monoid.lt_of_add_lt_add_left 0.005785 s: linear_ordered_cancel_add_comm_monoid.to_linear_ordered_add_comm_monoid 0.000212 s: linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_1 0.000180 s: linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_2 0.003357 s: linear_ordered_add_comm_monoid.lt_of_add_lt_add_left._default 0.007668 s: linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_3 0.013117 s: linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid 0.007270 s: linear_ordered_cancel_add_comm_monoid.le_of_add_le_add_left 0.001179 s: linear_ordered_cancel_add_comm_monoid.to_ordered_cancel_add_comm_monoid 0.000603 s: monotone.add 0.000408 s: monotone.add_const 0.010533 s: max_add_add_right 0.037227 s: nnreal.sub_add_eq_max 0.001129 s: nnreal.sub_add_cancel_of_le 0.012797 s: ennreal.sub_add_cancel_of_le 0.009209 s: ennreal.sub_add_self_eq_max 0.004364 s: ennreal.le_sub_add_self 0.032930 s: ennreal.sub_le_iff_le_add 0.028459 s: ennreal.sub_eq_zero_iff_le 0.006888 s: ennreal.zero_lt_sub_iff_lt 0.002015 s: emetric.mem_ball 0.006670 s: emetric.ball_subset 0.001548 s: ennreal.add_sub_cancel_of_le 0.007111 s: emetric.exists_ball_subset_ball 0.000936 s: emetric.is_open_ball 0.036725 s: ennreal.inv_one 0.008035 s: ennreal.top_mul_top 0.001959 s: ennreal.top_pow 0.000798 s: ennreal.coe_pow 0.065429 s: ennreal.inv_pow 0.000367 s: nat.cast_bit0 0.015247 s: nat.cast_pow 0.007287 s: nat.pow_lt_pow_succ 0.008500 s: nat.lt_pow_self 0.000509 s: nat.lt_two_pow 0.006185 s: ennreal.exists_inv_two_pow_lt 0.002503 s: ennreal.div_zero_iff 0.025487 s: ennreal.div_pos_iff 0.000109 s: gt.lt 0.007296 s: 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0.016948 s: ennreal.mul_inv_cancel 0.000152 s: bit0_zero 0.006381 s: ennreal.bit0_inj 0.004572 s: ennreal.bit0_eq_zero_iff 0.000679 s: ennreal.bit0_eq_top_iff 0.002282 s: ennreal.one_ne_top 0.000224 s: bit1.equations._eqn_1 0.000297 s: ne.lt_or_lt 0.000035 s: int.comm_semiring 0.000710 s: add_neg_of_neg_of_nonpos 0.000512 s: sub_nonpos_of_le 0.000526 s: neg_nonpos_of_nonneg 0.000519 s: int.add_one_le_iff 0.000794 s: nat.cast_bit1 0.000301 s: ennreal.coe_nat_mono 0.000825 s: ennreal.coe_nat_le_coe_nat 0.003317 s: zero_lt_mul_left 0.005293 s: one_lt_bit1 0.013380 s: norm_num.lt_one_bit1 0.001274 s: norm_num.le_one_bit1 0.228034 s: emetric.paracompact_space 0.000391 s: emetric.normal_of_emetric 0.000282 s: subspace 0.000181 s: emetric.inf_edist 0.000131 s: metric.inf_dist 0.003927 s: lt_div_iff' 0.003274 s: norm_num.inv_div_one 0.001357 s: norm_num.div_eq 0.034660 s: norm_num.clear_denom_mul 0.001247 s: norm_num.clear_denom_simple_nat 0.019160 s: norm_num.clear_denom_simple_div 0.000105 s: metric.inf_dist.equations._eqn_1 0.000415 s: binfi_le 0.007370 s: emetric.inf_edist_le_edist_of_mem 0.006320 s: metric.inf_edist_ne_top 0.001505 s: metric.inf_dist_le_dist_of_mem 0.000231 s: emetric.inf_edist.equations._eqn_1 0.006578 s: emetric.exists_edist_lt_of_inf_edist_lt 0.003281 s: ennreal.to_real_lt_to_real 0.000703 s: ennreal.of_real_ne_top 0.000189 s: nnreal.zero_le_coe 0.000324 s: ennreal.to_real_nonneg 0.000257 s: metric.inf_dist_nonneg 0.001951 s: metric.exists_dist_lt_of_inf_dist_lt 0.002060 s: le_mul_iff_one_le_right 0.003853 s: mul_lt_iff_lt_one_right 0.005227 s: infi_le_infi_of_subset 0.007043 s: emetric.inf_edist_le_inf_edist_of_subset 0.000619 s: ennreal.half_pos 0.002214 s: emetric.mem_closure_iff 0.002936 s: ennreal.div_self 0.000187 s: ennreal.zero_lt_two 0.000098 s: ennreal.two_ne_zero 0.001916 s: ennreal.inv_two_add_inv_two 0.001910 s: ennreal.add_halves 0.025752 s: emetric.inf_edist_closure 0.027306 s: emetric.inf_edist_zero_of_mem 0.002489 s: 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s: submodule.quotient.mk 0.000199 s: quotient.eq' 0.000557 s: submodule.quotient.eq 0.003533 s: submodule.quotient.has_add._proof_1 0.000656 s: submodule.quotient.has_add 0.000311 s: submodule.quotient.quot_mk_eq_mk 0.000827 s: submodule.quotient.mk_add 0.002691 s: submodule.quotient.add_comm_group._proof_1 0.000431 s: submodule.quotient.has_zero 0.000568 s: submodule.quotient.mk_zero 0.001824 s: submodule.quotient.add_comm_group._proof_2 0.001506 s: submodule.quotient.add_comm_group._proof_3 0.000147 s: quotient.lift_on' 0.007479 s: add_comm_monoid.nat_is_scalar_tower 0.011572 s: submodule.quotient.add_comm_group._proof_4 0.026648 s: submodule.quotient.add_comm_group._proof_5 0.032303 s: submodule.quotient.add_comm_group._proof_6 0.005200 s: submodule.quotient.has_neg._proof_1 0.000541 s: submodule.quotient.has_neg 0.007005 s: submodule.quotient.has_sub._proof_1 0.000705 s: submodule.quotient.has_sub 0.000912 s: submodule.quotient.mk_sub 0.000548 s: submodule.quotient.mk_neg 0.040879 s: submodule.quotient.add_comm_group._proof_7 0.063100 s: submodule.quotient.add_comm_group._proof_8 0.013040 s: submodule.quotient.add_comm_group._proof_9 0.035809 s: submodule.quotient.add_comm_group 0.006481 s: semimodule.core 0.001667 s: semimodule.core.to_has_scalar 0.001904 s: semimodule.core.one_smul 0.000867 s: semimodule.core.mul_smul 0.000568 s: semimodule.core.smul_add 0.001038 s: add_left_eq_self 0.005676 s: add_monoid_hom.mk'._proof_1 0.002622 s: add_monoid_hom.mk' 0.000704 s: semimodule.of_core._proof_1 0.000681 s: semimodule.core.add_smul 0.001774 s: semimodule.of_core._proof_2 0.007813 s: semimodule.of_core 0.009162 s: submodule.quotient.has_scalar._proof_1 0.001029 s: submodule.quotient.has_scalar 0.000728 s: submodule.quotient.mk_smul 0.010293 s: submodule.quotient.semimodule._proof_1 0.012907 s: submodule.quotient.semimodule._proof_2 0.009333 s: submodule.quotient.semimodule._proof_3 0.006919 s: submodule.quotient.semimodule._proof_4 0.002026 s: submodule.quotient.semimodule 0.000743 s: linear_equiv.finite_dimensional 0.003226 s: linear_equiv.findim_eq 0.006412 s: submodule.liftq._proof_1 0.016604 s: submodule.liftq._proof_2 0.019444 s: submodule.liftq._proof_3 0.005986 s: submodule.liftq 0.000829 s: linear_map.quot_ker_equiv_range._proof_1 0.006996 s: submodule.mkq._proof_1 0.002627 s: submodule.mkq._proof_2 0.000957 s: submodule.mkq 0.012137 s: submodule.comap_comp 0.004198 s: submodule.liftq_mkq 0.006181 s: submodule.comap_liftq 0.001700 s: submodule.ker_liftq 0.001925 s: submodule.mkq_apply 0.001564 s: submodule.quotient.mk_eq_zero 0.003358 s: submodule.ker_mkq 0.008045 s: submodule.mkq_map_self 0.003977 s: submodule.ker_liftq_eq_bot 0.002163 s: linear_map.quot_ker_equiv_range._proof_2 0.000445 s: linear_equiv.of_eq._proof_1 0.001892 s: linear_equiv.of_eq._proof_2 0.001717 s: linear_equiv.of_eq._proof_3 0.000671 s: linear_equiv.of_eq._proof_4 0.000608 s: linear_equiv.of_eq._proof_5 0.008163 s: linear_equiv.of_eq 0.009548 s: submodule.map_liftq 0.008098 s: submodule.range_liftq 0.001515 s: linear_map.quot_ker_equiv_range._proof_3 0.003481 s: linear_map.quot_ker_equiv_range 0.002073 s: add_submonoid.prod._proof_1 0.005452 s: add_submonoid.prod._proof_2 0.001329 s: add_submonoid.prod 0.001047 s: submodule.prod._proof_1 0.000684 s: submodule.prod._proof_2 0.007728 s: submodule.prod._proof_3 0.007977 s: submodule.prod 0.003333 s: submodule.mem_prod 0.000222 s: prod.zero_eq_mk 0.003245 s: submodule.prod_bot 0.006110 s: submodule.prod_comap_inl 0.002247 s: submodule.ker_inl 0.004306 s: submodule.prod_comap_inr 0.004649 s: submodule.ker_inr 0.000733 s: set.range_comp_subset_range 0.022794 s: linear_map.is_compl_range_inl_inr 0.045173 s: linear_independent_inl_union_inr' 0.007556 s: linear_map.sup_range_inl_inr 0.028383 s: is_basis_inl_union_inr 0.000236 s: cardinal.lift_mk 0.000289 s: cardinal.add_def 0.026576 s: dim_prod 0.004404 s: linear_equiv.map_add 0.009371 s: linear_equiv.prod._proof_1 0.002958 s: linear_equiv.map_smul 0.012439 s: linear_equiv.prod._proof_2 0.001389 s: linear_equiv.prod._proof_3 0.000688 s: linear_equiv.prod._proof_4 0.002485 s: linear_equiv.prod 0.000852 s: submodule.le_comap_map 0.004903 s: submodule.comap_mono 0.039404 s: linear_map.comap_map_eq 0.004649 s: linear_map.map_le_map_iff 0.005446 s: linear_map.map_le_map_iff' 0.002508 s: submodule.ker_subtype 0.036920 s: submodule.disjoint_iff_comap_eq_bot 0.031831 s: submodule.quotient_equiv_of_is_compl._proof_1 0.005179 s: linear_map.range_comp 0.020661 s: linear_map.map_eq_top_iff 0.003226 s: submodule.range_mkq 0.002524 s: submodule.map_mkq_eq_top 0.029864 s: submodule.quotient_equiv_of_is_compl._proof_2 0.020157 s: submodule.quotient_equiv_of_is_compl 0.000343 s: linear_equiv.refl._proof_1 0.000489 s: linear_equiv.refl._proof_2 0.000089 s: linear_equiv.refl._proof_3 0.000068 s: linear_equiv.refl._proof_4 0.000816 s: linear_equiv.refl 0.000252 s: prod.mk_eq_zero 0.002992 s: submodule.mk_eq_zero 0.000411 s: add_subgroup.neg_mem_iff 0.001531 s: submodule.neg_mem_iff 0.076174 s: submodule.prod_equiv_of_is_compl._proof_1 0.007581 s: set_like.exists 0.007158 s: submodule.sup_eq_range 0.073400 s: submodule.prod_equiv_of_is_compl._proof_2 0.073206 s: submodule.prod_equiv_of_is_compl 0.012722 s: submodule.mem_sup' 0.028187 s: linear_map.is_compl_of_proj 0.003406 s: linear_map.ext_iff 0.004444 s: linear_independent.image_subtype 0.008058 s: is_basis.constr 0.001313 s: linear_map.ext_on 0.001084 s: linear_map.ext_on_range 0.001527 s: is_basis.ext 0.034267 s: is_basis.constr_apply 0.021790 s: constr_basis 0.023393 s: linear_map.exists_left_inverse_of_injective 0.026530 s: submodule.exists_is_compl 0.004820 s: quotient_prod_linear_equiv 0.042570 s: dim_quotient_add_dim 0.000334 s: self_le_add_right 0.022148 s: dim_quotient_le 0.003127 s: finite_dimensional.finite_dimensional_quotient 0.001557 s: self_le_add_left 0.026258 s: dim_submodule_le 0.093913 s: finite_dimensional.finite_dimensional_submodule 0.124736 s: submodule.findim_quotient_add_findim 0.132061 s: linear_map.findim_range_add_findim_ker 0.000091 s: exists_eq 0.036811 s: is_basis_singleton_one 0.000076 s: punit.unique._proof_1 0.000069 s: punit.unique 0.010119 s: cardinal.mk_punit 0.021920 s: dim_of_field 0.111670 s: finite_dimensional.findim_of_field 0.083477 s: submodule.findim_le 0.092283 s: finite_dimensional.finite_dimensional_self 0.014589 s: zero_lt_iff 0.000213 s: cauchy.mono' 0.008192 s: tendsto_nhds_unique' 0.012681 s: is_complete.is_closed 0.000746 s: uniform_inducing 0.000562 s: complete_univ 0.008946 s: complete_space_of_is_complete_univ 0.000077 s: complete_space_iff_is_complete_univ 0.001270 s: cauchy.map 0.000261 s: uniform_inducing.comap_uniformity 0.000812 s: uniform_inducing.uniform_continuous 0.003078 s: uniform_inducing.inducing 0.002537 s: is_complete_of_complete_image 0.000433 s: uniform_embedding 0.000247 s: uniform_embedding.to_uniform_inducing 0.000759 s: uniform_embedding_subtype_val 0.000454 s: uniform_embedding_subtype_coe 0.001078 s: is_complete.complete_space_coe 0.001585 s: filter.prod_comap_comap_eq 0.000977 s: cauchy.comap 0.000360 s: cauchy.comap' 0.002303 s: uniform_inducing.comp 0.001571 s: filter.comap_ne_bot_iff 0.001316 s: filter.comap_ne_bot_iff_frequently 0.000277 s: filter.ne_bot.comap_of_range_mem 0.000514 s: filter.comap_le_comap_iff 0.002865 s: is_complete_image_iff 0.000453 s: complete_space_iff_is_complete_range 0.000639 s: complete_space_coe_iff_is_complete 0.000520 s: complete_space_congr 0.000218 s: antilipschitz_with 0.030281 s: ennreal.mul_pos 0.014399 s: antilipschitz_with.comap_uniformity_le 0.000256 s: filter.tendsto.le_comap 0.001342 s: antilipschitz_with.uniform_inducing 0.002588 s: antilipschitz_with.injective 0.000530 s: antilipschitz_with.uniform_embedding 0.001079 s: lipschitz_with.to_right_inverse 0.004698 s: continuous_linear_equiv.lipschitz 0.010821 s: continuous_linear_equiv.antilipschitz 0.010652 s: continuous_linear_equiv.uniform_embedding 0.009775 s: linear_equiv.uniform_embedding 0.001435 s: submodule.semi_normed_group._proof_1 0.005071 s: submodule.semi_normed_group 0.000227 s: subtype.metric_space._proof_1 0.000300 s: subtype.metric_space 0.001155 s: submodule.normed_group._proof_1 0.007282 s: submodule.normed_group 0.025720 s: submodule.semi_normed_space._proof_1 0.016870 s: submodule.semi_normed_space 0.004500 s: submodule.normed_space._proof_1 0.007480 s: submodule.normed_space 0.007451 s: Pi.uniform_continuous_proj 0.002034 s: nhds_pi 0.169985 s: Pi.complete 0.004095 s: fintype.subtype_card 0.000491 s: fintype.card_of_finset 0.001483 s: fintype.card_of_finset' 0.003227 s: set.card_image_of_inj_on 0.000486 s: set.card_image_of_injective 0.142226 s: finite_dimensional.eq_top_of_findim_eq 0.039276 s: pi_semi_norm_le_iff 2.090591 s: continuous_equiv_fun_basis 0.086646 s: linear_map.continuous_of_finite_dimensional 0.077023 s: linear_equiv.to_continuous_linear_equiv._proof_5 0.073147 s: linear_equiv.to_continuous_linear_equiv._proof_6 0.074996 s: linear_equiv.to_continuous_linear_equiv 0.000105 s: nonempty.map 0.010412 s: linear_equiv_of_is_basis._proof_1 0.002769 s: linear_equiv_of_is_basis._proof_2 0.006806 s: linear_equiv_of_is_basis._proof_3 0.004337 s: linear_equiv_of_is_basis._proof_4 0.016997 s: linear_equiv_of_is_basis 0.005049 s: nonempty_linear_equiv_of_lift_dim_eq 0.004340 s: finite_dimensional.nonempty_linear_equiv_of_findim_eq 0.001092 s: finite_dimensional.linear_equiv.of_findim_eq 0.061651 s: continuous_linear_equiv.of_findim_eq 0.000195 s: pi.single 0.000486 s: pi.single_zero 0.000272 s: zero_hom.single._proof_1 0.000338 s: zero_hom.single 0.000391 s: add_monoid_hom.single._proof_1 0.000329 s: pi.single_eq_same 0.000385 s: pi.single_eq_of_ne 0.011479 s: pi.apply_single₂ 0.002247 s: pi.single_op₂ 0.001786 s: add_monoid_hom.single._proof_2 0.001412 s: add_monoid_hom.single 0.000626 s: linear_map.single._proof_1 0.000230 s: pi.single.equations._eqn_1 0.001335 s: function.apply_update 0.001903 s: pi.apply_single 0.000823 s: pi.single_op 0.000919 s: pi.single_smul 0.000910 s: linear_map.single._proof_2 0.005967 s: linear_map.single 0.000608 s: linear_map.std_basis 0.000856 s: linear_independent.of_subtype_range 0.001602 s: sigma.eq 0.004418 s: linear_independent.ne_zero 0.003468 s: supr_singleton 0.000846 s: sigma.exists 0.002586 s: set.range_sigma_eq_Union_range 0.000563 s: supr_le_supr_const 0.002626 s: set.Union_subset_Union_const 0.002067 s: linear_independent_empty_type 0.000142 s: not_nonempty_iff_imp_false 0.000295 s: disjoint.mono_right 0.027332 s: linear_independent_Union_finite_subtype 0.018099 s: linear_independent_Union_finite 0.002770 s: linear_map.std_basis_apply 0.002095 s: linear_map.std_basis_same 0.002582 s: linear_map.ker_std_basis 0.025722 s: submodule.comap_infi 0.000039 s: function.eval 0.004382 s: linear_map.coe_proj 0.000105 s: function.eval_apply 0.003221 s: linear_map.std_basis_ne 0.005608 s: linear_map.proj_std_basis_ne 0.048018 s: linear_map.supr_range_std_basis_le_infi_ker_proj 0.011569 s: linear_map.proj_apply 0.058701 s: linear_map.disjoint_std_basis_std_basis 0.000083 s: pi.has_bot 0.000155 s: pi.semilattice_inf_bot._proof_1 0.000149 s: pi.semilattice_inf_bot._proof_2 0.008257 s: pi.semilattice_inf_bot._proof_3 0.000387 s: pi.semilattice_inf_bot._proof_4 0.000608 s: pi.semilattice_inf_bot._proof_5 0.000612 s: pi.semilattice_inf_bot._proof_6 0.000736 s: pi.semilattice_inf_bot._proof_7 0.001109 s: pi.semilattice_inf_bot._proof_8 0.003538 s: pi.semilattice_inf_bot._proof_9 0.000130 s: pi.has_inf 0.005300 s: pi.semilattice_inf_bot._proof_10 0.003234 s: pi.semilattice_inf_bot._proof_11 0.005400 s: pi.semilattice_inf_bot._proof_12 0.010032 s: pi.semilattice_inf_bot 0.005143 s: set.disjoint_iff 0.003278 s: set.disjoint_singleton_left 0.495753 s: pi.linear_independent_std_basis 0.000236 s: eq_top_mono 0.000445 s: supr_pos 0.014080 s: submodule.mem_supr_of_mem 0.014246 s: linear_map.infi_ker_proj_le_supr_range_std_basis 0.026701 s: linear_map.supr_range_std_basis 0.116495 s: pi.is_basis_std_basis 0.084593 s: dim_pi 0.001764 s: cardinal.mk_prod 0.015997 s: cardinal.sum_const_eq_lift_mul 0.059443 s: dim_fun_eq_lift_mul 0.091410 s: dim_fun' 0.130541 s: finite_dimensional.findim_fintype_fun_eq_card 0.093240 s: finite_dimensional.findim_fin_fun 0.000549 s: real.decidable_le 0.000689 s: metric.closed_ball_subset_closed_ball 0.009582 s: is_closed.mem_of_nhds_within_ne_bot 0.003072 s: is_compact.inter_right 0.007545 s: metric.is_closed_ball 0.001648 s: proper_space_of_compact_closed_ball_of_le 0.000780 s: set.image_preimage_eq 0.000142 s: function.surjective.image_preimage 0.002798 s: filter.comap_inf_principal_ne_bot_of_image_mem 0.000218 s: filter.tendsto.ne_bot 0.000322 s: filter.tendsto.inf 0.012550 s: is_compact.image_of_continuous_on 0.000259 s: is_compact.image 0.000118 s: metric.bounded 0.001930 s: diagonal_eq_range_diagonal_map 0.002644 s: prod_subset_compl_diagonal_iff_disjoint 0.000431 s: nhds_contain_boxes 0.002608 s: set.bInter_empty 0.002532 s: is_open_bInter 0.008969 s: nhds_contain_boxes_of_compact 0.002958 s: set.preimage_swap_prod 0.000649 s: set.image_swap_prod 0.002154 s: nhds_contain_boxes.symm 0.001506 s: set.prod_singleton 0.002988 s: nhds_contain_boxes_of_singleton 0.000865 s: generalized_tube_lemma 0.001381 s: compact_compact_separated 0.000179 s: cluster_pt.of_le_nhds' 0.001123 s: filter.principal_singleton 0.001237 s: compact_singleton 0.001868 s: is_compact.is_closed 0.000316 s: metric.bounded.subset 0.000648 s: metric.bounded_empty 0.012644 s: supr_union 0.006377 s: set.bUnion_union 0.000496 s: set.bUnion_singleton 0.001673 s: set.bUnion_insert 0.000455 s: metric.bounded_iff_mem_bounded 0.000194 s: dist_triangle_right 0.006601 s: metric.bounded_closed_ball 0.005430 s: metric.bounded_iff_subset_ball 0.001708 s: metric.bounded_union 0.002387 s: metric.bounded_bUnion 0.000871 s: metric.ball_subset_closed_ball 0.000139 s: metric.bounded_ball 0.002051 s: set.Union_subtype 0.000483 s: set.preimage_range 0.000833 s: subtype.coe_preimage_self 0.000638 s: finset.supr_coe 0.001631 s: finset.supr_finset_image 0.000623 s: finset.set_bUnion_finset_image 0.003663 s: is_compact.elim_finite_subcover_image 0.001607 s: finite_cover_balls_of_compact 0.004365 s: metric.bounded_of_compact 0.000083 s: is_compact.bounded 0.000567 s: compact_empty 0.000141 s: compact_of_is_closed_subset 0.001001 s: metric.compact_iff_closed_bounded 0.000231 s: emetric.diam 0.000046 s: metric.diam 0.000321 s: antilipschitz_with.equations._eqn_1 0.003457 s: antilipschitz_with_iff_le_mul_dist 0.000382 s: antilipschitz_with.le_mul_dist 0.000196 s: metric.diam.equations._eqn_1 0.000254 s: emetric.diam.equations._eqn_1 0.012416 s: emetric.diam_le_iff 0.000250 s: emetric.edist_le_of_diam_le 0.000290 s: emetric.edist_le_diam_of_mem 0.001168 s: metric.dist_le_diam_of_mem' 0.000245 s: ne_top_of_le_ne_top 0.000162 s: emetric.diam_le 0.000544 s: metric.ediam_le_of_forall_dist_le 0.005683 s: metric.bounded_iff_ediam_ne_top 0.000205 s: metric.bounded.ediam_ne_top 0.000372 s: metric.dist_le_diam_of_mem 0.007300 s: antilipschitz_with.bounded_preimage 0.001243 s: antilipschitz_with.proper_space 0.001606 s: closed_ball_pi 0.001098 s: ultrafilter.of_compl_not_mem_iff._proof_1 0.000434 s: ultrafilter.of_compl_not_mem_iff._proof_2 0.000442 s: ultrafilter.of_compl_not_mem_iff 0.000141 s: ultrafilter.map._proof_1 0.004406 s: ultrafilter.map 0.183058 s: compact_pi_infinite 0.007969 s: pi_proper_space 0.002047 s: continuous_linear_equiv.continuous 0.001593 s: continuous_linear_equiv.surjective 0.169999 s: finite_dimensional.proper 0.000432 s: sub_le 0.175869 s: closed_ball_Icc 0.000241 s: set.Icc.equations._eqn_1 0.019785 s: set.Icc_self 0.015969 s: Ioc_mem_nhds_within_Iic 0.005565 s: ultrafilter.diff_mem_iff 0.003267 s: set.Icc_subset_Icc_union_Ioc 0.000796 s: set.Ioc_subset_Ioc 0.000172 s: set.Ioc_subset_Ioc_left 0.000210 s: set.mem_Ioc 0.002536 s: mem_nhds_within_Ici_iff_exists_mem_Ioc_Ico_subset 0.000431 s: and.right_comm 0.001211 s: set.Icc_diff_left 0.000320 s: set.union_eq_self_of_subset_right 0.001128 s: set.Ioc_union_left 0.003183 s: set.Ico_union_right 0.000154 s: set.union_subset_union_right 0.000234 s: set.Ioc_subset_Icc_self 0.000206 s: set.Icc_subset_Icc_union_Icc 0.000423 s: set.Icc_eq_empty 0.026581 s: compact_Icc 0.007821 s: real.proper_space 0.138404 s: finite_dimensional.proper_real 0.284284 s: finite_dimensional.proper_is_R_or_C 0.087622 s: real.is_R_or_C._proof_1 0.000056 s: or.intro_left 0.002938 s: real.is_R_or_C._proof_2 0.000475 s: add_monoid_hom.to_fun_eq_coe 0.000345 s: add_monoid_hom.id_apply 0.131565 s: real.is_R_or_C._proof_3 0.130506 s: real.is_R_or_C._proof_4 0.046971 s: real.is_R_or_C._proof_5 0.068341 s: real.is_R_or_C._proof_6 0.075942 s: real.is_R_or_C._proof_7 0.072941 s: real.is_R_or_C._proof_8 0.009505 s: real.is_R_or_C._proof_9 0.065041 s: real.is_R_or_C._proof_10 0.009391 s: pow_two 0.070268 s: real.is_R_or_C._proof_11 0.011227 s: real.is_R_or_C._proof_12 0.148081 s: real.is_R_or_C._proof_13 0.122639 s: real.is_R_or_C._proof_14 0.146120 s: real.is_R_or_C 0.000444 s: fin.tail 0.000316 s: fin_succ_equiv._proof_1 0.000289 s: fin_succ_equiv._proof_2 0.000178 s: option.cases_on'_none 0.000090 s: option.cases_on'_some 0.000147 s: nat.lt.step 0.004778 s: fin.cast_succ_mk 0.000727 s: subtype.mk_lt_mk 0.000502 s: fin.pred._main._proof_1 0.000518 s: fin.pred._main.equations._eqn_1 0.000255 s: fin.pred.equations._eqn_1 0.018065 s: fin.succ_above_pred_above 0.008799 s: fin_succ_equiv'._proof_1 0.010763 s: fin.pred_above_succ_above 0.004448 s: fin_succ_equiv'._proof_2 0.000784 s: fin_succ_equiv' 0.000429 s: fin_succ_equiv 0.000126 s: equiv.option_equiv_sum_punit._match_1 0.000093 s: equiv.option_equiv_sum_punit._match_2 0.000380 s: equiv.option_equiv_sum_punit._proof_1 0.000382 s: equiv.option_equiv_sum_punit._proof_2 0.000144 s: equiv.option_equiv_sum_punit 0.001216 s: set.range_unique 0.006542 s: linear_independent_option' 0.000546 s: option.cases_on'_none_coe 0.001831 s: linear_independent_option 0.000789 s: fin_succ_equiv'.equations._eqn_1 0.011049 s: fin_succ_equiv_symm'_some_above 0.002600 s: fin_succ_equiv_symm_some 0.000557 s: fin_succ_equiv_symm_coe 0.001899 s: fin_succ_equiv_symm_none 0.004106 s: linear_independent_fin_cons 0.000401 s: fin.tail.equations._eqn_1 0.002565 s: fin.cons_self_tail 0.001292 s: linear_independent_fin_succ 0.002894 s: linear_independent_fin2 0.001859 s: complex.I_ne_zero 0.000036 s: matrix.vec_head 0.000996 s: matrix.cons_val_one 0.000437 s: matrix.head_cons 0.001194 s: fin.exists_fin_succ 0.000389 s: set.singleton_union 0.002469 s: matrix.range_cons 0.000269 s: set.range_eq_empty 0.000216 s: matrix.range_empty 0.000503 s: set.is_lawful_singleton 0.098803 s: complex.is_basis_one_I 0.087005 s: complex.finite_dimensional 0.106890 s: complex.is_R_or_C._proof_1 0.017551 s: complex.is_R_or_C._proof_2 0.006974 s: complex.I_mul_I 0.003378 s: complex.is_R_or_C._proof_3 0.100691 s: complex.is_R_or_C._proof_4 0.096388 s: complex.is_R_or_C._proof_5 0.098410 s: complex.is_R_or_C._proof_6 0.019384 s: complex.is_R_or_C._proof_7 0.005037 s: complex.is_R_or_C._proof_8 0.023764 s: complex.is_R_or_C._proof_9 0.032506 s: complex.is_R_or_C._proof_10 0.007045 s: complex.conj_I 0.021415 s: complex.is_R_or_C._proof_11 0.004805 s: complex.norm_sq_eq_abs 0.000358 s: complex.norm_sq_apply 0.004431 s: complex.is_R_or_C._proof_12 0.005618 s: complex.is_R_or_C._proof_13 0.094494 s: complex.is_R_or_C._proof_14 0.031591 s: complex.div_I 0.042674 s: complex.is_R_or_C 0.081172 s: has_ftaylor_series_up_to 0.000429 s: times_cont_diff 0.000357 s: times_cont_diff_on 0.012446 s: continuous_linear_map.uncurry_left._proof_1 0.011009 s: continuous_linear_map.uncurry_left._proof_2 0.007641 s: linear_map.uncurry_left._proof_1 0.006629 s: linear_map.uncurry_left._proof_2 0.002677 s: fin.tail_update_zero 0.002920 s: fin.tail_update_succ 0.022899 s: linear_map.uncurry_left._proof_3 0.004992 s: multilinear_map.smul_apply 0.025220 s: linear_map.uncurry_left._proof_4 0.008171 s: linear_map.uncurry_left 0.000411 s: continuous_linear_map.uncurry_left._proof_3 0.010505 s: continuous_linear_map.uncurry_left._proof_4 0.000426 s: continuous_linear_map.uncurry_left._proof_5 0.037179 s: continuous_linear_map.uncurry_left._proof_6 0.007455 s: continuous_multilinear_map.to_multilinear_map_linear._proof_1 0.004140 s: continuous_multilinear_map.to_multilinear_map_linear._proof_2 0.012993 s: continuous_multilinear_map.to_multilinear_map_linear 0.009752 s: continuous_linear_map.uncurry_left._proof_7 0.000235 s: continuous_linear_map.uncurry_left._proof_8 0.132160 s: continuous_linear_map.norm_map_tail_le 0.044380 s: continuous_linear_map.uncurry_left._proof_9 0.103288 s: continuous_linear_map.uncurry_left 0.005356 s: fderiv_within 0.014636 s: iterated_fderiv_within._proof_1 0.012942 s: iterated_fderiv_within 0.000560 s: ftaylor_series_within 0.014805 s: has_ftaylor_series_up_to.zero_eq 0.029056 s: has_ftaylor_series_up_to.fderiv 0.018255 s: has_ftaylor_series_up_to.cont 0.028816 s: has_ftaylor_series_up_to_on_univ_iff 0.000250 s: unique_diff_on 0.000929 s: ftaylor_series_within.equations._eqn_1 0.006662 s: iterated_fderiv_within_zero_apply 0.006681 s: with_top.add_one_le_of_lt 0.121527 s: iterated_fderiv_within_succ_apply_left 0.001536 s: differentiable_within_at 0.004161 s: differentiable_within_at.has_fderiv_within_at 0.002934 s: has_fderiv_within_at.differentiable_within_at 0.003491 s: has_fderiv_within_at.fderiv_within 0.001368 s: has_fderiv_within_at.congr_of_eventually_eq 0.001289 s: fderiv_within.equations._eqn_1 0.002321 s: fderiv_within_zero_of_not_differentiable_within_at 0.000737 s: differentiable_within_at.congr_of_eventually_eq 0.002389 s: filter.eventually_eq.fderiv_within_eq 0.001724 s: fderiv_within_congr 0.002673 s: fderiv_within_subset 0.000221 s: dense.mono 0.006075 s: tangent_cone_mono_nhds 0.004389 s: unique_diff_within_at.mono_nhds 0.000723 s: unique_diff_within_at_congr 0.000627 s: unique_diff_within_at_inter 0.000557 s: unique_diff_within_at.inter 0.000944 s: differentiable_within_at.equations._eqn_1 0.003002 s: differentiable_within_at_inter 0.002187 s: fderiv_within_inter 0.023941 s: iterated_fderiv_within_inter_open 0.005059 s: unique_diff_on.inter 0.003812 s: iterated_fderiv_within_inter' 0.001932 s: iterated_fderiv_within_inter 0.022982 s: has_ftaylor_series_up_to_on.zero_eq' 0.015480 s: iterated_fderiv_within_zero_eq_comp 0.013978 s: continuous_multilinear_curry_left_equiv._proof_1 0.031425 s: continuous_multilinear_curry_left_equiv._proof_2 0.017273 s: continuous_multilinear_curry_left_equiv._proof_3 0.010750 s: continuous_multilinear_curry_left_equiv._proof_4 0.031132 s: continuous_multilinear_curry_left_equiv._proof_5 0.016280 s: continuous_multilinear_curry_left_equiv._proof_6 0.151740 s: continuous_multilinear_curry_left_equiv._proof_7 0.165487 s: continuous_multilinear_curry_left_equiv._proof_8 0.036911 s: continuous_multilinear_map.curry_left_apply 0.086258 s: continuous_linear_map.uncurry_left_apply 0.015610 s: fin.tail_cons 0.047407 s: continuous_linear_map.curry_uncurry_left 0.020762 s: linear_map.uncurry_left_apply 0.006970 s: multilinear_map.curry_left_apply 0.012236 s: multilinear_map.uncurry_curry_left 0.047455 s: continuous_multilinear_map.uncurry_curry_left 0.012629 s: continuous_multilinear_curry_left_equiv._proof_9 0.184612 s: continuous_multilinear_curry_left_equiv._proof_10 0.086971 s: continuous_multilinear_curry_left_equiv._proof_11 0.076662 s: continuous_multilinear_curry_left_equiv 0.072169 s: iterated_fderiv_within_succ_eq_comp_left 0.000129 s: function.comp_apply 0.071075 s: has_ftaylor_series_up_to_on.eq_ftaylor_series_of_unique_diff_on 0.024839 s: has_ftaylor_series_up_to_on.mono 0.003194 s: continuous_on_of_locally_continuous_on 0.000190 s: filter.eventually_eq.symm 0.000914 s: eventually_eq_nhds_within_of_eq_on 0.000144 s: set.eq_on.eventually_eq_nhds_within 0.000928 s: continuous_on.congr_mono 0.000134 s: continuous_on.congr 0.039853 s: times_cont_diff_on.ftaylor_series_within 0.000493 s: unique_diff_on_univ 0.013287 s: has_ftaylor_series_up_to_on.of_le 0.001386 s: has_ftaylor_series_up_to.has_ftaylor_series_up_to_on 0.002066 s: times_cont_diff_on_univ 0.000277 s: times_cont_diff_on.equations._eqn_1 0.000263 s: times_cont_diff_at.equations._eqn_1 0.001251 s: times_cont_diff_iff_times_cont_diff_at 0.000455 s: times_cont_diff.times_cont_diff_at 0.000482 s: times_cont_diff_within_at.of_le 0.000532 s: times_cont_diff_on.of_le 0.000669 s: times_cont_diff_on_iff_forall_nat_le 0.006233 s: times_cont_diff_on_top 0.000918 s: times_cont_diff_on_all_iff_nat 0.000928 s: times_cont_diff_all_iff_nat 0.000375 s: continuous_within_at.mono_of_mem 0.000230 s: continuous_on.continuous_within_at 0.001201 s: inducing.tendsto_nhds_iff 0.001138 s: inducing.continuous_iff 0.001440 s: inducing.continuous_on_iff 0.002302 s: isometry.antilipschitz 0.000249 s: isometry.uniform_inducing 0.000420 s: isometry.comp_continuous_on_iff 0.001571 s: linear_isometry_equiv.comp_continuous_on_iff 0.026291 s: has_ftaylor_series_up_to_on.continuous_on 0.015046 s: nhds_within_singleton 0.001261 s: nhds_within_insert 0.001083 s: mem_nhds_within_insert 0.011761 s: times_cont_diff_within_at.continuous_within_at 0.001209 s: times_cont_diff_on.continuous_on 0.000136 s: set.eq_on.symm 0.000237 s: continuous_on_congr 0.046921 s: has_ftaylor_series_up_to_on_zero_iff 0.021576 s: times_cont_diff_on_zero 0.002080 s: times_cont_diff_zero 0.000856 s: homeomorph.surjective 0.000279 s: homeomorph.range_coe 0.002000 s: homeomorph.map_nhds_eq 0.001578 s: add_units.neg_add_cancel_left 0.000915 s: add_units.add_neg_cancel_left 0.000484 s: add_units.add_left 0.000482 s: equiv.add_left 0.000174 s: homeomorph.add_left._proof_1 0.000123 s: homeomorph.add_left._proof_2 0.000904 s: homeomorph.add_left._proof_3 0.000716 s: homeomorph.add_left._proof_4 0.000902 s: homeomorph.add_left 0.002205 s: map_add_left_nhds 0.000681 s: map_add_left_nhds_zero 0.001064 s: asymptotics.is_O_with_map 0.001117 s: asymptotics.is_o_map 0.013439 s: has_fderiv_at_iff_is_o_nhds_zero 0.024521 s: has_deriv_at_iff_is_o_nhds_zero 0.033705 s: cau_seq.const_lim_zero 0.003451 s: cau_seq.const_equiv 0.000779 s: cau_seq.eq_lim_of_const_equiv 0.002491 s: mul_lt_mul'' 0.134579 s: cau_seq.mul_lim_zero_left 0.015402 s: cau_seq.lim_mul_lim 0.000659 s: cau_seq.lim_eq_of_equiv_const 0.000626 s: cau_seq.lim_eq_lim_of_equiv 0.001142 s: cau_seq.cauchy₂ 0.044137 s: abv_sum_le_sum_abv 0.012573 s: sum_range_sub_sum_range 0.004541 s: mul_lt_mul_right 0.000698 s: lt_add_of_pos_left 0.000808 s: norm_num.bit0_mul 0.000591 s: norm_num.mul_bit0' 0.000156 s: norm_num.mul_bit0_bit0 0.000755 s: finset.sum_sigma' 0.000657 s: nat.sub_lt_sub_right_iff 0.000167 s: nat.lt_sub_right_of_add_lt 0.002184 s: nat.lt_sub_left_of_add_lt 0.000068 s: nat.lt_sub_left_iff_add_lt 0.001239 s: nat.lt_sub_right_iff_add_lt 0.005132 s: sum_range_diag_flip 0.617400 s: cauchy_product 0.000581 s: nat.choose._main 0.000025 s: nat.choose 0.004830 s: finset.sum_range_succ 0.000256 s: nat.choose._main.equations._eqn_1 0.000028 s: nat.choose.equations._eqn_1 0.002186 s: nat.choose._main.equations._eqn_4 0.000084 s: nat.choose.equations._eqn_4 0.000094 s: nat.choose_zero_succ 0.001261 s: nat.choose_succ_succ 0.004780 s: nat.choose_eq_zero_of_lt 0.003018 s: nat.choose_self 0.000182 s: nat.choose_zero_right 0.000044 s: nat.choose_succ_self 0.014216 s: commute.add_pow 0.003200 s: add_pow 0.000608 s: nat.factorial_zero 0.000332 s: nat.factorial_one 0.023430 s: nat.choose_mul_factorial_mul_factorial 0.006833 s: char_zero_of_inj_zero 0.030697 s: complex.char_zero_complex 0.011833 s: nat.choose_pos 1.013684 s: complex.exp_add 0.001282 s: norm_num.add_pos_neg_neg 0.000690 s: norm_num.add_neg_pos_neg 0.001345 s: finset.range_one 0.000449 s: cau_seq.lim_const 0.000178 s: complex.exp.equations._eqn_1 0.004400 s: cau_seq.lim_neg 0.002376 s: cau_seq.lim_add 0.148198 s: is_absolute_value.sub_abv_le_abv_sub 0.036174 s: is_absolute_value.abs_abv_sub_le_abv_sub 1.012681 s: complex.abs_abs_sub_le_abs_sub 0.019925 s: complex.is_cau_seq_abs 0.000154 s: complex.cau_seq_abs._proof_1 0.000141 s: complex.cau_seq_abs 0.899949 s: complex.lim_abs 0.025582 s: cau_seq.const_le 0.001135 s: cau_seq.le_of_eq_of_le 0.000972 s: cau_seq.lim_le 0.027805 s: cau_seq.le_of_exists 0.018228 s: div_le_div_right 0.006115 s: nat.factorial_pos 0.002514 s: mul_le_one 0.004641 s: pow_le_one 0.014320 s: nat.factorial_mul_pow_le_factorial 0.000449 s: geom_sum_def 0.048106 s: geom_sum_inv 0.701709 s: complex.sum_div_factorial_le 1.028814 s: complex.exp_bound 0.000325 s: norm_num.nat_succ_eq 0.000247 s: norm_num.bit0_succ 0.003319 s: norm_num.nat_cast_bit1 0.000886 s: norm_num.nat_cast_one 0.000893 s: norm_num.nat_cast_bit0 0.011343 s: le_of_mul_le_mul_right 0.012960 s: norm_num.clear_denom_le 0.009950 s: norm_num.lt_bit1_bit0 0.001460 s: norm_num.le_bit1_bit0 0.003890 s: norm_num.sle_one_bit0 0.000258 s: pow_bit0 0.002683 s: pow_bit0_nonneg 0.000200 s: pow_two_nonneg 0.177231 s: complex.abs_exp_sub_one_sub_id_le 0.020351 s: continuous_pow 0.014479 s: asymptotics.is_o_pow_pow 0.001943 s: asymptotics.is_o_pow_id 0.079380 s: complex.has_deriv_at_exp 0.039643 s: complex.differentiable_exp 0.034950 s: complex.continuous_exp 0.004958 s: fderiv 0.002307 s: deriv 0.000334 s: differentiable_on 0.001955 s: deriv_within 0.001745 s: differentiable_within_at.mono 0.016244 s: has_ftaylor_series_up_to_on.differentiable_on 0.004431 s: times_cont_diff_within_at.differentiable_within_at' 0.001001 s: times_cont_diff_within_at.differentiable_within_at 0.000929 s: times_cont_diff_on.differentiable_on 0.016662 s: formal_multilinear_series.shift._proof_1 0.168950 s: formal_multilinear_series.shift 0.017631 s: continuous_multilinear_curry_right_equiv'._proof_1 0.012242 s: continuous_multilinear_curry_right_equiv'._proof_3 0.023004 s: continuous_multilinear_curry_right_equiv'._proof_2 0.181974 s: continuous_multilinear_curry_right_equiv' 0.007639 s: fin.cast_succ_fin_succ 0.000821 s: fin.succ_last 0.005298 s: fin.cons_snoc_eq_snoc_cons 0.000785 s: nat.sub_le_left_iff_le_add 0.001742 s: nat.sub_le_right_iff_le_add 0.000413 s: nat.pred_le_iff 0.001795 s: differentiable_within_at.continuous_within_at 0.000706 s: differentiable_on.continuous_on 0.846678 s: has_ftaylor_series_up_to_on_succ_iff_right 0.008441 s: times_cont_diff_within_at_nat 0.019726 s: formal_multilinear_series.unshift._proof_1 0.015762 s: formal_multilinear_series.unshift._proof_2 0.189030 s: formal_multilinear_series.unshift._main 0.010130 s: formal_multilinear_series.unshift 0.002743 s: has_ftaylor_series_up_to_on.congr 0.411893 s: times_cont_diff_within_at_succ_iff_has_fderiv_within_at 0.017583 s: times_cont_diff_within_at.congr_of_eventually_eq 0.002204 s: times_cont_diff_within_at.congr_of_eventually_eq' 0.001482 s: insert_mem_nhds_within_insert 0.001648 s: times_cont_diff_within_at.mono_of_mem 0.000576 s: times_cont_diff_within_at.congr_nhds 0.000517 s: times_cont_diff_within_at_congr_nhds 0.000446 s: times_cont_diff_within_at_inter' 0.000488 s: times_cont_diff_within_at.mono 0.000388 s: filter.eventually_of_mem 0.000226 s: filter.eventually_eq_of_mem 0.035460 s: times_cont_diff_on_succ_iff_fderiv_within 0.008320 s: linear_map.comp_multilinear_map._proof_1 0.003351 s: linear_map.comp_multilinear_map._proof_2 0.002191 s: linear_map.comp_multilinear_map 0.002476 s: continuous_linear_map.comp_continuous_multilinear_map._proof_1 0.002437 s: continuous_linear_map.comp_continuous_multilinear_map._proof_2 0.003089 s: continuous_linear_map.comp_continuous_multilinear_map._proof_3 0.004207 s: continuous_linear_map.comp_continuous_multilinear_map 0.011232 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_1 0.010962 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_2 0.016587 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_3 0.031094 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_4 0.022680 s: linear_map.mk_continuous₂._proof_1 0.001877 s: linear_map.mk_continuous₂._proof_2 0.014340 s: linear_map.mk_continuous₂._proof_3 0.015073 s: linear_map.mk_continuous₂._proof_4 0.011246 s: continuous_linear_map.to_semi_normed_space 0.016576 s: linear_map.mk_continuous₂._proof_5 0.005440 s: linear_map.mk_continuous_apply 0.035231 s: linear_map.mk_continuous₂._proof_6 0.039970 s: linear_map.mk_continuous₂._proof_7 0.016763 s: linear_map.mk_continuous_norm_le' 0.000493 s: monotone_mul_right_of_nonneg 0.006611 s: max_mul_of_nonneg 0.038310 s: linear_map.mk_continuous₂._proof_8 0.028616 s: linear_map.mk_continuous₂ 0.017650 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_5 0.015274 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_6 0.010812 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_7 0.007638 s: linear_map.mk₂._proof_1 0.001047 s: linear_map.mk₂'._proof_1 0.003231 s: linear_map.mk₂'._proof_2 0.004901 s: linear_map.mk₂'._proof_3 0.003827 s: linear_map.mk₂' 0.006168 s: linear_map.mk₂._proof_2 0.004321 s: linear_map.mk₂ 0.004214 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_8 0.044734 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_9 0.024700 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_10 0.006958 s: continuous_linear_map.comp_continuous_multilinear_map_coe 0.004594 s: continuous_multilinear_map.smul_apply 0.073371 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_11 0.019253 s: continuous_linear_map.le_op_norm_of_le 0.020173 s: continuous_linear_map.norm_comp_continuous_multilinear_map_le 0.224248 s: continuous_linear_map.comp_continuous_multilinear_mapL._proof_12 0.166394 s: continuous_linear_map.comp_continuous_multilinear_mapL 0.308153 s: has_ftaylor_series_up_to_on.continuous_linear_map_comp 0.014046 s: times_cont_diff_within_at.continuous_linear_map_comp 0.008479 s: continuous_linear_equiv.comp_times_cont_diff_within_at_iff 0.003265 s: continuous_linear_equiv.comp_times_cont_diff_on_iff 0.002826 s: continuous_linear_equiv.self_comp_symm 0.001468 s: continuous_within_at.preimage_mem_nhds_within' 0.005995 s: multilinear_map.comp_linear_map._proof_1 0.005876 s: multilinear_map.comp_linear_map._proof_2 0.002805 s: multilinear_map.comp_linear_map 0.002410 s: continuous_multilinear_map.comp_continuous_linear_map._proof_1 0.003832 s: continuous_multilinear_map.comp_continuous_linear_map._proof_2 0.035558 s: continuous_infi_rng 0.008466 s: continuous_pi 0.007458 s: continuous_multilinear_map.comp_continuous_linear_map._proof_3 0.004612 s: continuous_multilinear_map.comp_continuous_linear_map 0.000892 s: is_linear_map.map_add 0.000980 s: is_linear_map.map_smul 0.000715 s: is_linear_map.mk' 0.001397 s: is_bounded_linear_map.to_is_linear_map 0.000696 s: is_bounded_linear_map.to_linear_map._proof_1 0.000803 s: is_bounded_linear_map.to_linear_map 0.000921 s: is_bounded_linear_map.to_continuous_linear_map._proof_1 0.001160 s: is_bounded_linear_map.to_continuous_linear_map._proof_2 0.004223 s: is_bounded_linear_map.to_continuous_linear_map._match_1 0.001429 s: is_bounded_linear_map.to_continuous_linear_map._proof_3 0.001813 s: is_bounded_linear_map.to_continuous_linear_map 0.171062 s: is_bounded_linear_map_continuous_multilinear_map_comp_linear 0.024162 s: fin.comp_cons 0.003005 s: is_bounded_linear_map.has_fderiv_at_filter 0.001708 s: is_bounded_linear_map.has_fderiv_at 0.002463 s: is_bounded_linear_map.dcases_on 0.001768 s: tendsto_norm_sub_self 0.070309 s: is_bounded_linear_map.tendsto 0.012273 s: is_bounded_linear_map.continuous 0.125099 s: has_ftaylor_series_up_to_on.comp_continuous_linear_map 0.014959 s: times_cont_diff_within_at.comp_continuous_linear_map 0.001922 s: times_cont_diff_on.comp_continuous_linear_map 0.009918 s: continuous_linear_equiv.times_cont_diff_on_comp_iff 0.000779 s: with_top.nat_induction 0.052242 s: times_cont_diff_on_succ_iff_has_fderiv_within_at 0.008215 s: continuous_within_at_inter' 0.001008 s: times_cont_diff_on.mono 0.002100 s: times_cont_diff.times_cont_diff_on 0.000792 s: times_cont_diff.of_le 0.000505 s: differentiable_on.equations._eqn_1 0.001130 s: differentiable_at.equations._eqn_1 0.002093 s: differentiable_within_at_univ 0.001093 s: differentiable_on_univ 0.001543 s: differentiable_at.has_fderiv_at 0.000972 s: fderiv.equations._eqn_1 0.002064 s: fderiv_zero_of_not_differentiable_at 0.002604 s: fderiv_within_univ 0.025038 s: times_cont_diff_on_top_iff_fderiv_within 0.026644 s: times_cont_diff_top_iff_fderiv 0.034786 s: is_bounded_bilinear_map.differentiable_at 0.003124 s: is_bounded_bilinear_map.differentiable 0.003962 s: has_fderiv_at.fderiv 0.054954 s: is_bounded_bilinear_map.fderiv 0.000753 s: is_bounded_linear_map.differentiable_at 0.000453 s: is_bounded_linear_map.differentiable 0.006799 s: is_bounded_linear_map.fderiv 0.003120 s: has_fderiv_at_const 0.002265 s: differentiable_at_const 0.000297 s: differentiable_const 0.001101 s: fderiv_const_apply 0.002624 s: fderiv_const 0.009300 s: iterated_fderiv._proof_1 0.009581 s: iterated_fderiv 0.003586 s: times_cont_diff_on.continuous_on_iterated_fderiv_within 0.026371 s: times_cont_diff_on.differentiable_on_iterated_fderiv_within 0.091363 s: times_cont_diff_on_of_continuous_on_differentiable_on 0.037405 s: times_cont_diff_on_iff_continuous_on_differentiable_on 0.007520 s: iterated_fderiv_zero_apply 0.116938 s: iterated_fderiv_succ_apply_left 0.023012 s: iterated_fderiv_within_univ 0.049068 s: times_cont_diff_iff_continuous_differentiable 0.031408 s: times_cont_diff_of_differentiable_iterated_fderiv 0.038440 s: iterated_fderiv_within_zero_fun 0.016150 s: times_cont_diff_zero_fun 0.021644 s: times_cont_diff_const 0.022291 s: is_bounded_linear_map.times_cont_diff 0.045807 s: is_bounded_bilinear_map.times_cont_diff 0.024082 s: continuous_linear_map.op_norm_comp_le 0.092920 s: is_bounded_bilinear_map_comp 0.021345 s: multilinear_map.prod._proof_1 0.006059 s: multilinear_map.prod._proof_2 0.003734 s: multilinear_map.prod 0.002397 s: continuous_multilinear_map.prod._proof_1 0.002335 s: continuous_multilinear_map.prod._proof_2 0.003338 s: continuous_multilinear_map.prod._proof_3 0.006428 s: continuous_multilinear_map.prod 0.011344 s: continuous_multilinear_map.prodL._proof_1 0.010557 s: continuous_multilinear_map.prodL._proof_2 0.011504 s: continuous_multilinear_map.prodL._proof_3 0.010307 s: continuous_multilinear_map.prodL._proof_4 0.010951 s: continuous_multilinear_map.prodL._proof_5 0.013695 s: continuous_multilinear_map.prodL._proof_6 0.057395 s: continuous_multilinear_map.prodL._proof_7 0.086308 s: continuous_multilinear_map.prodL._proof_8 0.008757 s: continuous_linear_map.fst 0.002404 s: continuous_linear_map.snd 0.069798 s: continuous_multilinear_map.prodL._proof_9 0.072309 s: continuous_multilinear_map.prodL._proof_10 0.013876 s: continuous_multilinear_map.prod_apply 0.001708 s: prod.norm_def 0.113583 s: continuous_multilinear_map.op_norm_prod 0.047259 s: continuous_multilinear_map.prodL._proof_11 0.140348 s: continuous_multilinear_map.prodL 0.029019 s: linear_isometry_equiv.has_fderiv_at 0.711739 s: has_ftaylor_series_up_to_on.prod 0.048981 s: times_cont_diff_within_at.prod 0.006149 s: times_cont_diff_on.prod 0.033131 s: _private.2939904581.times_cont_diff_on.comp_same_univ 0.075621 s: times_cont_diff_on.comp 0.010078 s: times_cont_diff.comp_times_cont_diff_on 0.051361 s: is_bounded_bilinear_map.is_bounded_linear_map_left 0.006744 s: deriv_within.equations._eqn_1 0.024737 s: is_bounded_bilinear_map.is_bounded_linear_map_right 0.000675 s: has_continuous_mul.has_continuous_smul 0.199045 s: continuous_linear_map.norm_smul_right_apply 0.209985 s: is_bounded_bilinear_map_smul_right 0.068044 s: times_cont_diff_on_succ_iff_deriv_within 0.005984 s: unique_diff_within_at_of_mem_nhds 0.000550 s: is_open.unique_diff_within_at 0.000359 s: is_open.unique_diff_on 0.001985 s: times_cont_diff_within_at.congr 0.002280 s: times_cont_diff_on.congr 0.000614 s: times_cont_diff_on_congr 0.002302 s: fderiv_within_of_mem_nhds 0.001050 s: fderiv_within_of_open 0.003029 s: deriv_within_of_open 0.002305 s: times_cont_diff_on_succ_iff_deriv_of_open 0.001530 s: times_cont_diff_succ_iff_deriv 0.001353 s: continuous_linear_map.ext_ring_iff 0.006311 s: continuous_linear_map.smul_right_one_eq_iff 0.021165 s: has_deriv_at.unique 0.004134 s: deriv.equations._eqn_1 0.020816 s: differentiable_at.has_deriv_at 0.000413 s: has_deriv_at.deriv 0.035191 s: complex.deriv_exp 0.032071 s: complex.times_cont_diff_exp 0.057727 s: complex.has_strict_deriv_at_exp 0.039529 s: has_strict_deriv_at.cexp 0.008604 s: has_strict_fderiv_at_id 0.005246 s: has_strict_deriv_at_id 0.003680 s: continuous_linear_map.has_strict_fderiv_at 0.012496 s: has_strict_fderiv_at.neg 0.020332 s: has_strict_deriv_at.neg 0.073540 s: complex.has_strict_deriv_at_cos 0.041525 s: complex.has_deriv_at_cos 0.074588 s: real.has_deriv_at_cos 0.079875 s: real.differentiable_cos 0.134903 s: real.continuous_cos 0.000108 s: real.continuous_on_cos 0.038102 s: eq_zero_of_neg_eq 0.000405 s: complex.conj.equations._eqn_1 0.003080 s: ring_hom.coe_mk 0.003410 s: complex.conj_of_real 0.006073 s: complex.eq_conj_iff_real 0.001255 s: complex.eq_conj_iff_re 0.000128 s: complex.cosh 0.020844 s: complex.two_cosh 0.022496 s: complex.two_cos 0.013849 s: complex.cosh_mul_I 0.004250 s: complex.conj_neg_I 0.000186 s: complex.cosh.equations._eqn_1 0.014090 s: ring_hom.map_sub 0.024197 s: complex.is_cau_seq_conj 0.000209 s: complex.cau_seq_conj 0.000598 s: cau_seq.mk_to_fun 0.000282 s: complex.cau_seq_conj.equations._eqn_1 0.844980 s: complex.lim_aux.equations._eqn_1 0.000315 s: complex.cau_seq_re.equations._eqn_1 0.000260 s: complex.cau_seq_im.equations._eqn_1 0.981215 s: complex.lim_eq_lim_im_add_lim_re 0.865937 s: complex.lim_re 0.912629 s: complex.lim_im 0.887950 s: complex.lim_conj 0.049380 s: complex.exp_conj 0.012360 s: complex.conj_bit0 0.032634 s: complex.cosh_conj 0.006531 s: complex.abs_zero 0.049000 s: complex.exp_zero 0.018476 s: complex.exp_ne_zero 0.020086 s: complex.exp_neg 0.005608 s: complex.cosh_neg 0.005323 s: complex.cos_conj 0.000512 s: complex.of_real_cos_of_real_re 0.000143 s: complex.of_real_cos 0.000123 s: complex.sinh 0.019910 s: complex.two_sinh 0.051560 s: _private.3424581445.cosh_add_aux 0.019290 s: complex.cosh_add 0.020195 s: complex.two_sin 0.003745 s: mul_neg_one 0.015521 s: complex.sinh_mul_I 0.010009 s: complex.cos_add 0.005144 s: complex.cos_two_mul' 0.000604 s: complex.I_sq 0.001459 s: sq_sub_sq 0.000694 s: add_add_sub_cancel 0.012854 s: complex.cosh_add_sinh 0.001960 s: add_sub_sub_cancel 0.010433 s: complex.cosh_sub_sinh 0.029437 s: complex.cosh_sq_sub_sinh_sq 0.020002 s: complex.sin_sq_add_cos_sq 0.005052 s: sub_add_eq_add_sub 0.007023 s: complex.cos_two_mul 0.001929 s: complex.of_real_sub 0.002968 s: complex.of_real_pow 0.064798 s: real.cos_two_mul 0.000258 s: sub_le_sub_right 0.021605 s: bit1_pos 0.000340 s: bit1_pos' 0.003934 s: norm_num.add_bit1_bit0 0.001795 s: norm_num.add_bit0_bit0 0.000615 s: norm_num.one_add 0.000370 s: norm_num.sle_bit0_bit0 0.001712 s: norm_num.bit1_succ 0.006260 s: norm_num.sle_bit1_bit0 0.004357 s: norm_num.lt_bit0_bit1 0.000272 s: norm_num.le_bit0_bit1 0.000381 s: norm_num.sle_one_bit1 0.111955 s: complex.of_real_div 0.000191 s: complex.cos.equations._eqn_1 0.000388 s: add_div 0.016506 s: div_sub_div_same 0.000185 s: sub_div 0.000225 s: complex.bit0_re 0.000128 s: complex.bit0_im 0.010874 s: norm_num.mul_bit1_bit1 0.007204 s: tactic.ring.horner_add_horner_lt 0.000118 s: even 0.000116 s: abs_hom._proof_1 0.031899 s: abs_one 0.003172 s: abs_hom 0.010768 s: pow_abs 0.000234 s: abs_pow 0.004667 s: max_eq_left_iff 0.008758 s: neg_le_iff_add_nonneg 0.143559 s: neg_le_self_iff 0.027830 s: abs_eq_self 0.002875 s: pow_even_nonneg 0.000650 s: pow_even_abs 0.000594 s: even_bit0 0.001052 s: pow_bit0_abs 0.012783 s: half_add_self 0.001162 s: add_halves' 0.000921 s: decidable.le_iff_le_iff_lt_iff_lt 0.006946 s: decidable.mul_le_mul_right 0.377490 s: real.cos_bound 0.401131 s: real.cos_pos_of_le_one 0.002538 s: real.cos_one_pos 0.002739 s: norm_num.pow_bit0 0.297570 s: real.cos_one_le 0.514649 s: real.cos_two_neg 0.045542 s: real.exists_cos_eq_zero 0.000233 s: real.pi 0.014445 s: complex.exp_nat_mul 0.000047 s: real.exp 0.000757 s: complex.cos_add_sin_I 0.000080 s: complex.exp_mul_I 0.000156 s: complex.exp_add_mul_I 0.000323 s: complex.exp_eq_exp_re_mul_sin_add_cos 0.000082 s: complex.exp_of_real_re 0.000063 s: complex.cos_of_real_re 0.000058 s: complex.sin_of_real_re 0.000085 s: complex.sinh.equations._eqn_1 0.031346 s: complex.sinh_conj 0.019161 s: complex.sinh_neg 0.011301 s: complex.sin_conj 0.001130 s: complex.of_real_sin_of_real_re 0.000156 s: complex.sin_of_real_im 0.000383 s: complex.of_real_exp_of_real_re 0.000149 s: complex.exp_of_real_im 0.000178 s: complex.cos_of_real_im 0.000061 s: real.exp.equations._eqn_1 0.000438 s: real.exp_ne_zero 0.000049 s: real.integral_domain 0.002308 s: mul_self_eq_one_iff 0.000087 s: complex.of_real_sin 0.022191 s: real.sin_sq_add_cos_sq 0.000207 s: eq_zero_of_mul_self_eq_zero 0.019910 s: real.sin_eq_zero_iff_cos_eq 0.002317 s: real.exp_zero 0.004697 s: real.exp_add 0.002746 s: lt_mul_iff_one_lt_left 0.000700 s: add_neg_of_nonpos_of_neg 0.000348 s: add_nonpos 0.000779 s: cau_seq.le_of_le_of_eq 0.000817 s: cau_seq.le_lim 0.000052 s: real.add_semigroup 0.000564 s: is_add_group_hom 0.000394 s: add_cancel_monoid.to_add_left_cancel_monoid 0.003826 s: is_add_monoid_hom.of_add 0.000175 s: is_add_group_hom.to_is_add_hom 0.000202 s: is_add_group_hom.to_is_add_monoid_hom 0.001429 s: complex.re.is_add_group_hom 0.984272 s: real.add_one_le_exp_of_nonneg 0.008181 s: sub_neg_of_lt 0.065767 s: real.one_le_exp 0.012004 s: complex.of_real_neg 0.000107 s: complex.of_real_exp 0.002244 s: real.exp_neg 0.083907 s: real.exp_pos 0.000537 s: add_neg 0.076107 s: real.exp_strict_mono 0.000447 s: real.exp_injective 0.000256 s: real.exp_eq_one_iff 0.381077 s: sub_floor_div_mul_nonneg 0.000549 s: real.pi.equations._eqn_1 0.089629 s: real.one_le_pi_div_two 0.083995 s: real.two_le_pi 0.028162 s: real.pi_pos 0.008146 s: _private.1668581595.pow_le_pow_of_le_one_aux 0.006520 s: nat.exists_eq_add_of_le 0.000903 s: pow_le_pow_of_le_one 0.000610 s: norm_num.mul_pos_neg 0.002384 s: norm_num.add_bit1_bit1 0.003038 s: norm_num.adc_bit1_bit0 0.003530 s: norm_num.adc_bit0_bit1 0.001962 s: norm_num.adc_bit0_one 0.000443 s: neg_of_neg_pos 0.029791 s: linarith.mul_neg 0.008693 s: cancel_factors.sub_subst 0.001208 s: cancel_factors.add_subst 0.001977 s: cancel_factors.mul_subst 0.002487 s: mul_div_comm 0.026330 s: cancel_factors.div_subst 0.033848 s: linarith.mul_nonpos 0.008407 s: nat_mul_inj 0.000815 s: nat_mul_inj' 0.007754 s: bit0_injective 0.001040 s: bit0_eq_bit0 0.054271 s: complex.of_real_bit1 0.000749 s: complex.bit1_re 0.002211 s: complex.bit1_im 0.393013 s: real.sin_bound 0.476763 s: real.sin_pos_of_pos_of_le_one 0.056926 s: _private.2880291403.sinh_add_aux 0.019481 s: complex.sinh_add 0.007559 s: complex.sin_add 0.005123 s: complex.sin_two_mul 0.046904 s: real.sin_two_mul 0.245094 s: real.sin_pos_of_pos_of_le_two 0.000099 s: real.sin.equations._eqn_1 0.039371 s: real.sin_add 0.055767 s: real.cos_pi_div_two 0.103194 s: real.sin_pi 0.000096 s: real.cos.equations._eqn_1 0.018005 s: complex.cos_neg 0.001916 s: real.cos_neg 0.001849 s: zero_pow' 0.067169 s: real.cos_pi 0.028833 s: complex.sin_neg 0.003539 s: real.sin_neg 0.007161 s: real.sin_pi_sub 0.056396 s: real.pi_div_two_le_two 0.142710 s: real.pi_le_four 0.000193 s: le_of_not_ge 0.062849 s: real.sin_pos_of_pos_of_lt_pi 0.231047 s: sub_floor_div_mul_lt 0.044638 s: complex.sin_zero 0.002083 s: real.sin_zero 0.009869 s: real.sin_nat_mul_pi 0.006661 s: real.sin_int_mul_pi 1.085392 s: real.sin_eq_zero_iff 0.018669 s: int.mod_two_eq_zero_or_one 0.002867 s: int.cast_bit0 0.004738 s: int.cast_two 0.007809 s: real.cos_add 0.021055 s: complex.cos_zero 0.003063 s: real.cos_zero 0.005195 s: real.cos_two_pi 0.006200 s: real.sin_two_pi 0.003903 s: real.cos_nat_mul_two_pi 0.003085 s: real.cos_int_mul_two_pi 0.001839 s: int.coe_nat_bit0 0.007058 s: real.cos_add_int_mul_two_pi 0.002037 s: real.cos_int_mul_two_pi_add_pi 0.000394 s: norm_num.lt_neg_pos 0.024810 s: real.cos_eq_one_iff 0.030394 s: complex.of_real_int_cast 0.000458 s: complex.int_cast_re 0.005553 s: complex.int_cast_im 0.000193 s: not_lt_of_gt 0.085934 s: complex.exp_eq_one_iff 0.000191 s: mul_div_assoc' 0.000230 s: real.pi_ne_zero 0.074006 s: complex.two_pi_I_ne_zero 0.092660 s: complex.is_primitive_root_exp_of_coprime 0.000051 s: nat.coprime_one_left 0.017672 s: complex.is_primitive_root_exp 0.011962 s: complex.card_primitive_roots 0.063270 s: pow_bit0_pos 0.007469 s: bex.imp_right 0.002804 s: intermediate_value_univ₂_eventually₁ 0.003187 s: filter.comap_coe_ne_bot_of_le_principal 0.001216 s: filter.eventually_comap' 0.004735 s: is_preconnected.intermediate_value₂_eventually₁ 0.003182 s: eventually_le_of_tendsto_lt 0.001727 s: is_preconnected.intermediate_value_Ioc 0.000651 s: set.ord_connected.inter 0.000450 s: set.ord_connected_Ioi 0.000672 s: set.ord_connected_Iic 0.000402 s: set.ord_connected_Ioc 0.000248 s: is_preconnected_Ioc 0.011050 s: is_glb.nhds_within_ne_bot 0.000314 s: lower_bounds_mono_set 0.000358 s: is_lub.of_subset_of_superset 0.002825 s: is_glb.of_subset_of_superset 0.001698 s: is_glb_Ioo 0.000340 s: is_least_Icc 0.000154 s: is_glb_Icc 0.000396 s: is_glb_Ioc 0.000434 s: set.right_mem_Ioc 0.000417 s: set.nonempty_Ioc 0.003246 s: left_nhds_within_Ioc_ne_bot 0.020087 s: intermediate_value_Ioc 0.003718 s: category_theory.bundled 0.000018 s: Top 0.000058 s: topological_space.opens 0.000150 s: category_theory.bundled.α 0.000072 s: category_theory.bundled.has_coe_to_sort 0.000087 s: Top.has_coe_to_sort 0.000625 s: category_theory.bundled.str 0.000372 s: Top.topological_space 0.000110 s: subtype.partial_order 0.000115 s: topological_space.opens.partial_order 0.000253 s: Top.presheaf.sheaf_condition.opens_le_cover 0.000139 s: quiver 0.000076 s: quiver.hom 0.000604 s: category_theory.category_struct 0.000170 s: category_theory.category_struct.to_quiver 0.000207 s: category_theory.category_struct.comp 0.000215 s: category_theory.category_struct.id 0.002312 s: category_theory.category 0.000510 s: category_theory.category.to_category_struct 0.002841 s: category_theory.functor 0.000630 s: category_theory.functor.obj 0.001931 s: category_theory.comma 0.000012 s: category_theory.discrete 0.000014 s: category_theory.small_category 0.000029 s: category_theory.discrete_category._proof_1 0.000098 s: ulift.decidable_eq 0.000084 s: decidable_eq_of_subsingleton._main 0.000045 s: decidable_eq_of_subsingleton 0.000031 s: subsingleton_prop 0.001691 s: category_theory.discrete_category._proof_2 0.001071 s: category_theory.discrete_category._proof_3 0.001834 s: category_theory.discrete_category._proof_4 0.002426 s: category_theory.discrete_category 0.000956 s: category_theory.functor.map 0.002431 s: category_theory.nat_trans 0.001141 s: category_theory.category.comp_id 0.000810 s: category_theory.category.id_comp 0.001400 s: category_theory.nat_trans.id._proof_1 0.000611 s: category_theory.nat_trans.id 0.001011 s: category_theory.nat_trans.app 0.000970 s: category_theory.category.assoc 0.001786 s: category_theory.nat_trans.naturality 0.001893 s: category_theory.nat_trans.naturality_assoc 0.001721 s: category_theory.nat_trans.vcomp._proof_1 0.000687 s: category_theory.nat_trans.vcomp 0.001151 s: category_theory.nat_trans.cases_on 0.001762 s: category_theory.nat_trans.ext 0.002380 s: category_theory.functor.category._proof_1 0.002531 s: category_theory.functor.category._proof_2 0.003667 s: category_theory.functor.category._proof_3 0.001432 s: category_theory.functor.category 0.000086 s: category_theory.functor.const._proof_1 0.000705 s: category_theory.functor.const._proof_2 0.000072 s: category_theory.functor.const._proof_3 0.000464 s: category_theory.functor.const._proof_4 0.000068 s: category_theory.functor.const._proof_5 0.000385 s: category_theory.functor.const._proof_6 0.003518 s: category_theory.functor.const._proof_7 0.008286 s: category_theory.functor.const._proof_8 0.009123 s: category_theory.functor.const._proof_9 0.010260 s: category_theory.functor.const 0.000158 s: category_theory.functor.from_punit 0.000141 s: category_theory.structured_arrow 0.000244 s: category_theory.pairwise 0.001854 s: category_theory.pairwise.hom 0.000098 s: category_theory.pairwise.cases_on 0.000123 s: category_theory.pairwise.id._main 0.000036 s: category_theory.pairwise.id 0.000397 s: category_theory.pairwise.hom.cases_on 0.000152 s: category_theory.pairwise.no_confusion_type 0.000240 s: category_theory.pairwise.no_confusion 0.003142 s: category_theory.pairwise.comp._main 0.000044 s: category_theory.pairwise.comp 0.006434 s: category_theory.pairwise.category_theory.category._proof_1 0.008413 s: category_theory.pairwise.category_theory.category._proof_2 0.038159 s: category_theory.pairwise.category_theory.category._proof_3 0.000732 s: category_theory.pairwise.category_theory.category 0.000028 s: category_theory.induced_category 0.010094 s: category_theory.induced_category.category._proof_1 0.003572 s: category_theory.induced_category.category._proof_2 0.003709 s: category_theory.induced_category.category._proof_3 0.002031 s: category_theory.induced_category.category 0.000114 s: category_theory.full_subcategory 0.000458 s: preorder.small_category._proof_1 0.001880 s: preorder.small_category._proof_2 0.001317 s: preorder.small_category._proof_3 0.001023 s: preorder.small_category._proof_4 0.002765 s: preorder.small_category 0.000373 s: Top.presheaf.sheaf_condition.opens_le_cover.category_theory.category 0.000131 s: topological_space.opens.interior 0.003670 s: topological_space.opens.gi._proof_1 0.000078 s: topological_space.opens.set.has_coe 0.000709 s: galois_connection.dual 0.004250 s: topological_space.opens.gc 0.000306 s: topological_space.opens.gi._proof_2 0.000217 s: topological_space.opens.gi._proof_3 0.007207 s: topological_space.opens.gi._proof_4 0.004054 s: topological_space.opens.gi 0.000169 s: topological_space.opens.has_subset 0.000084 s: topological_space.opens.complete_lattice._proof_1 0.000102 s: interior_univ 0.063608 s: topological_space.opens.complete_lattice._proof_2 0.000234 s: topological_space.opens.complete_lattice._proof_3 0.000433 s: topological_space.opens.complete_lattice._proof_4 0.010335 s: topological_space.opens.complete_lattice._proof_5 0.000360 s: topological_space.opens.complete_lattice._proof_6 0.070798 s: topological_space.opens.complete_lattice._proof_7 0.011157 s: topological_space.opens.complete_lattice._proof_8 0.072898 s: topological_space.opens.complete_lattice._proof_9 0.075225 s: topological_space.opens.complete_lattice._proof_10 0.055359 s: topological_space.opens.complete_lattice 0.040279 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main 0.000183 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj 0.000539 s: category_theory.hom_of_le 0.044131 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main 0.000352 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map 0.008409 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_1 0.003064 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_2 0.000881 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover 0.000258 s: Top.presheaf.sheaf_condition.opens_le_cover.index._proof_1 0.000185 s: Top.presheaf.sheaf_condition.opens_le_cover.index 0.000454 s: Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index._proof_1 0.000705 s: Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index 0.003877 s: Top.presheaf.sheaf_condition.category_theory.structured_arrow.nonempty 0.002076 s: category_theory.limits.has_zero_morphisms 0.000502 s: category_theory.limits.has_zero_morphisms.has_zero 0.002643 s: category_theory.limits.binary_bicone 0.001428 s: category_theory.limits.cone 0.000301 s: category_theory.limits.cone.X 0.000475 s: category_theory.limits.cone.π 0.010141 s: category_theory.limits.is_limit 0.000101 s: category_theory.limits.walking_pair 0.000031 s: category_theory.discrete.functor._proof_1 0.000052 s: category_theory.discrete.functor._proof_2 0.000053 s: category_theory.discrete.functor._proof_3 0.000027 s: category_theory.discrete.functor._proof_4 0.000043 s: category_theory.discrete.functor._proof_5 0.001487 s: category_theory.discrete.functor._proof_6 0.006031 s: category_theory.discrete.functor._proof_7 0.004269 s: category_theory.discrete.functor 0.000081 s: category_theory.limits.walking_pair.cases_on 0.000186 s: category_theory.limits.pair 0.000088 s: category_theory.limits.binary_fan 0.000868 s: ulift.ext 0.000100 s: plift.ext 0.001764 s: category_theory.functor.map_id 0.001623 s: category_theory.discrete.functor_map_id 0.006344 s: category_theory.limits.binary_fan.mk._proof_1 0.002024 s: category_theory.limits.binary_fan.mk 0.001082 s: category_theory.limits.binary_bicone.X 0.001068 s: category_theory.limits.binary_bicone.fst 0.000669 s: category_theory.limits.binary_bicone.snd 0.000195 s: category_theory.limits.binary_bicone.to_cone 0.002547 s: category_theory.limits.cocone 0.000515 s: category_theory.limits.cocone.X 0.000780 s: category_theory.limits.cocone.ι 0.009688 s: category_theory.limits.is_colimit 0.000065 s: category_theory.limits.binary_cofan 0.004718 s: category_theory.limits.binary_cofan.mk._proof_1 0.002025 s: category_theory.limits.binary_cofan.mk 0.001456 s: category_theory.limits.binary_bicone.inl 0.000947 s: category_theory.limits.binary_bicone.inr 0.000384 s: category_theory.limits.binary_bicone.to_cocone 0.001426 s: category_theory.limits.binary_biproduct_data 0.000241 s: category_theory.limits.has_binary_biproduct 0.000339 s: category_theory.limits.binary_biproduct_data.bicone 0.000086 s: category_theory.limits.has_binary_biproduct.exists_binary_biproduct 0.000094 s: category_theory.limits.get_binary_biproduct_data 0.000084 s: category_theory.limits.binary_biproduct.bicone 0.000070 s: category_theory.limits.biprod 0.002704 s: category_theory.limits.is_limit.lift 0.000910 s: category_theory.limits.binary_biproduct_data.is_limit 0.000439 s: category_theory.limits.binary_biproduct.is_limit 0.001085 s: category_theory.limits.biprod.lift 0.000221 s: category_theory.limits.biprod.fst 0.004985 s: category_theory.limits.is_limit.fac 0.002145 s: category_theory.limits.biprod.lift_fst 0.000074 s: is_locally_constant 0.000686 s: locally_constant 0.000101 s: locally_constant.to_fun 0.000083 s: locally_constant.has_coe_to_fun 0.000312 s: is_locally_constant.comp 0.003846 s: is_locally_constant.tfae 0.001182 s: is_locally_constant.iff_eventually_eq 0.000190 s: is_locally_constant.eventually_eq 0.000723 s: is_locally_constant.prod_mk 0.000277 s: is_locally_constant.comp₂ 0.000235 s: is_locally_constant.add 0.000154 s: locally_constant.is_locally_constant 0.000426 s: locally_constant.has_add._proof_1 0.000247 s: locally_constant.has_add 0.000190 s: locally_constant.cases_on 0.000885 s: locally_constant.coe_injective 0.000307 s: locally_constant.ext 0.000358 s: locally_constant.add_apply 0.001300 s: locally_constant.add_semigroup._proof_1 0.000173 s: locally_constant.add_semigroup 0.000136 s: locally_constant.add_monoid._proof_1 0.000189 s: is_locally_constant.of_constant 0.000121 s: is_locally_constant.const 0.000071 s: locally_constant.const 0.000080 s: locally_constant.has_zero 0.000342 s: locally_constant.zero_apply 0.000883 s: locally_constant.add_zero_class._proof_1 0.000806 s: locally_constant.add_zero_class._proof_2 0.000267 s: locally_constant.add_zero_class 0.000189 s: locally_constant.add_monoid._proof_2 0.000142 s: locally_constant.add_monoid._proof_3 0.000091 s: locally_constant.add_monoid._proof_4 0.000090 s: locally_constant.add_monoid._proof_5 0.000563 s: locally_constant.add_monoid._proof_6 0.000342 s: locally_constant.add_monoid._proof_7 0.002298 s: locally_constant.add_monoid 0.000150 s: locally_constant.add_comm_monoid._proof_2 0.000089 s: is_extensional.cases_on 0.001477 s: measurable_space.generate_measurable 0.000115 s: measurable_space.generate_from 0.000047 s: borel 0.000175 s: borel_space 0.000253 s: topological_space.second_countable_topology 0.000082 s: measurable 0.000793 s: measure_theory.measure.ae._proof_1 0.032521 s: measure_theory.measure_mono_null 0.003738 s: measure_theory.measure.ae._proof_2 0.029482 s: measure_theory.outer_measure.union_null 0.000797 s: measure_theory.measure_union_null 0.006376 s: measure_theory.measure.ae._proof_3 0.000622 s: measure_theory.measure.ae 0.000369 s: ae_measurable 0.000207 s: filter.eventually_eq.refl 0.000063 s: filter.eventually_eq.rfl 0.000064 s: measure_theory.ae_eq_refl 0.000083 s: measure_theory.ae_eq_symm 0.000454 s: filter.eventually_eq.rw 0.000124 s: filter.eventually_eq.trans 0.000227 s: measure_theory.ae_eq_trans 0.000743 s: measure_theory.measure.ae_eq_setoid._proof_1 0.000501 s: measure_theory.measure.ae_eq_setoid 0.000108 s: measure_theory.ae_eq_fun 0.000243 s: filter.germ_setoid._proof_1 0.000107 s: filter.germ_setoid 0.000063 s: filter.germ 0.000362 s: measurable_space.mk_of_closure._proof_1 0.000440 s: measurable_space.mk_of_closure._proof_2 0.000244 s: measurable_space.mk_of_closure._proof_3 0.000363 s: measurable_space.mk_of_closure 0.000100 s: measurable_space.measurable_set_generate_from 0.000310 s: measurable_space.generate_measurable.rec_on 0.001946 s: measurable_space.generate_from_le 0.001865 s: measurable_space.generate_from_le_iff 0.002540 s: measurable_space.gi_generate_from._proof_1 0.000167 s: measurable_space.gi_generate_from._proof_2 0.000085 s: measurable_space.gi_generate_from._proof_3 0.001049 s: measurable_space.mk_of_closure_sets 0.001943 s: measurable_space.gi_generate_from._proof_4 0.002361 s: measurable_space.gi_generate_from 0.000119 s: measurable_space.complete_lattice 0.000320 s: measurable_space.comap._proof_1 0.002536 s: measurable_space.comap._match_1 0.000180 s: measurable_space.comap._proof_2 0.000925 s: measurable_space.comap._match_2 0.000241 s: measurable_space.comap._proof_3 0.000206 s: measurable_space.comap 0.000171 s: prod.measurable_space 0.000051 s: function.uncurry 0.000239 s: measure_theory.ae_eq_fun.mk 0.000145 s: ae_measurable.mk 0.000424 s: measurable.comp 0.000247 s: ae_measurable.measurable_mk 0.000218 s: filter.eventually_eq.fun_comp 0.000221 s: ae_measurable.ae_eq_mk 0.000543 s: measurable.comp_ae_measurable 0.000634 s: measure_theory.ae_eq_fun.comp._proof_1 0.000939 s: measure_theory.ae_eq_fun.mk_eq_mk 0.001460 s: measure_theory.ae_eq_fun.comp._proof_2 0.000724 s: measure_theory.ae_eq_fun.comp 0.000222 s: measurable_space.map._proof_1 0.000271 s: measurable_space.map._proof_2 0.002259 s: measurable_space.map 0.001604 s: measurable_iff_le_map 0.000130 s: measurable.of_le_map 0.004132 s: measurable_space.comap_le_iff_le_map 0.005673 s: measurable_space.map_comp 0.023724 s: measurable.prod 0.000414 s: measurable.prod_mk 0.005645 s: filter.eventually_eq.prod_mk 0.002800 s: ae_measurable.prod_mk 0.000569 s: measure_theory.ae_eq_fun.pair._proof_1 0.002391 s: measure_theory.ae_eq_fun.pair._proof_2 0.001257 s: measure_theory.ae_eq_fun.pair 0.000382 s: measure_theory.ae_eq_fun.comp₂ 0.004088 s: has_measurable_add₂ 0.000162 s: has_measurable_add₂.measurable_add 0.003498 s: opens_measurable_space 0.003060 s: measurable.mono 0.000907 s: continuous.borel_measurable 0.000126 s: opens_measurable_space.borel_le 0.000069 s: borel_space.measurable_eq 0.000408 s: continuous.measurable 0.001151 s: topological_space.is_topological_basis 0.001166 s: set.bUnion_eq_univ_iff 0.004823 s: Inf_insert 0.002050 s: set.sInter_insert 0.000864 s: is_open_sInter 0.004724 s: topological_space.is_topological_basis_of_subbasis 0.000103 s: topological_space.second_countable_topology.is_open_generated_countable 0.001986 s: topological_space.exists_countable_basis 0.000188 s: topological_space.countable_basis 0.000261 s: topological_space.countable_countable_basis 0.000336 s: topological_space.is_topological_basis.eq_generate_from 0.002546 s: filter.binfi_sets_eq 0.000588 s: topological_space.is_topological_basis.exists_subset_inter 0.000351 s: topological_space.is_topological_basis.sUnion_eq 0.001556 s: set.mem_bUnion_iff 0.007094 s: topological_space.is_topological_basis.mem_nhds_iff 0.000543 s: topological_space.is_topological_basis.exists_subset_of_mem_open 0.000303 s: topological_space.is_basis_countable_basis 0.004234 s: topological_space.is_open_Union_countable 0.002829 s: topological_space.is_open_sUnion_countable 0.001647 s: measurable_set.bUnion 0.000336 s: measurable_set.sUnion 0.002278 s: borel_eq_generate_from_of_subbasis 0.000129 s: topological_space.is_topological_basis.borel_eq_generate_from 0.000175 s: topological_space.is_topological_basis.second_countable_topology 0.000149 s: set.mem_sUnion 0.000618 s: set.sUnion_eq_univ_iff 0.000395 s: binfi_le_of_le 0.173512 s: topological_space.is_topological_basis_of_open_of_nhds 0.000388 s: topological_space.is_topological_basis.is_open 0.004512 s: topological_space.is_topological_basis.nhds_has_basis 0.000598 s: set.mem_image2_of_mem 0.002820 s: topological_space.is_topological_basis.prod 0.001896 s: set.image_prod 0.003277 s: set.prod_range_range_eq 0.000354 s: set.range_prod_map 0.000215 s: encodable.encode_sigma._main 0.000048 s: encodable.encode_sigma 0.000195 s: encodable.decode_sigma._match_1 0.000100 s: encodable.decode_sigma 0.000535 s: encodable.encode_sigma._main.equations._eqn_1 0.000240 s: encodable.encode_sigma.equations._eqn_1 0.000130 s: encodable.decode_sigma.equations._eqn_1 0.000650 s: encodable.decode_sigma._match_1.equations._eqn_1 0.002071 s: encodable.sigma._match_1 0.000135 s: encodable.sigma._proof_1 0.000193 s: encodable.sigma 0.000225 s: encodable.prod 0.001655 s: set.countable.prod 0.000645 s: set.countable.image2 0.000373 s: topological_space.prod.second_countable_topology 0.001761 s: measurable_iff_comap_le 0.000152 s: measurable.of_comap_le 0.016477 s: measurable_fst 0.019804 s: measurable_snd 0.001071 s: measurable_set.prod 0.001994 s: is_open.measurable_set 0.000179 s: topological_space.is_open_of_mem_countable_basis 0.005185 s: prod.opens_measurable_space 0.000179 s: borel_space.opens_measurable 0.000542 s: has_continuous_add.has_measurable_mul₂ 0.000208 s: measure_theory.ae_eq_fun.has_add._proof_1 0.000409 s: measure_theory.ae_eq_fun.has_add 0.000336 s: measurable.ae_measurable 0.001384 s: measurable_set.const 0.000192 s: measurable_const 0.000143 s: ae_measurable_const 0.000098 s: measure_theory.ae_eq_fun.const 0.000208 s: measure_theory.ae_eq_fun.has_zero 0.000461 s: has_measurable_neg 0.000087 s: has_measurable_neg.measurable_neg 0.000873 s: topological_add_group.has_measurable_neg 0.000137 s: measure_theory.ae_eq_fun.has_neg._proof_1 0.000236 s: measure_theory.ae_eq_fun.has_neg 0.003931 s: has_measurable_sub₂ 0.000155 s: has_measurable_sub₂.measurable_sub 0.000678 s: measurable.add 0.000282 s: measurable.neg 0.000794 s: has_measurable_div₂_of_add_neg 0.000374 s: measure_theory.ae_eq_fun.has_sub._proof_1 0.000275 s: measure_theory.ae_eq_fun.has_sub 0.000091 s: relator.lift_fun 0.000543 s: quotient.map₂._proof_1 0.000455 s: quotient.map₂ 0.000292 s: quotient.map₂' 0.001488 s: filter.germ.map₂._proof_1 0.000735 s: filter.germ.map₂ 0.000132 s: filter.germ.has_add 0.000180 s: filter.germ.has_coe_t 0.000561 s: filter.germ.quot_mk_eq_coe 0.001303 s: filter.germ.coe_add 0.001125 s: pi.add_semigroup._proof_1 0.000228 s: pi.add_semigroup 0.003047 s: filter.germ.add_semigroup._proof_1 0.000181 s: filter.germ.add_semigroup 0.000132 s: filter.germ.add_monoid._proof_1 0.000140 s: filter.germ.has_lift_t 0.000087 s: filter.germ.has_zero 0.000304 s: filter.germ.induction_on 0.000583 s: filter.germ.coe_zero 0.000465 s: filter.germ.coe_eq 0.002184 s: filter.germ.add_monoid._proof_2 0.002192 s: filter.germ.add_monoid._proof_3 0.001803 s: filter.germ.add_monoid._proof_4 0.001831 s: filter.germ.add_monoid._proof_5 0.004523 s: filter.germ.add_monoid._proof_6 0.006359 s: filter.germ.add_monoid._proof_7 0.005752 s: filter.germ.add_monoid 0.000211 s: filter.germ.sub_neg_add_monoid._proof_1 0.000131 s: filter.germ.sub_neg_add_monoid._proof_2 0.000138 s: filter.germ.sub_neg_add_monoid._proof_3 0.000344 s: filter.germ.sub_neg_add_monoid._proof_4 0.000238 s: filter.germ.sub_neg_add_monoid._proof_5 0.000220 s: quot.map._proof_1 0.000192 s: quot.map 0.000275 s: quotient.map' 0.000401 s: filter.germ.map' 0.000205 s: filter.germ.map._proof_1 0.000186 s: filter.germ.map 0.000072 s: filter.germ.has_neg 0.000094 s: filter.germ.has_sub 0.000171 s: pi.sub_neg_add_monoid._proof_1 0.000155 s: pi.sub_neg_add_monoid._proof_2 0.000144 s: pi.sub_neg_add_monoid._proof_3 0.000356 s: pi.sub_neg_add_monoid._proof_4 0.000309 s: pi.sub_neg_add_monoid._proof_5 0.002295 s: pi.sub_neg_add_monoid._proof_6 0.001061 s: pi.sub_neg_add_monoid 0.003567 s: filter.germ.sub_neg_add_monoid._proof_6 0.001289 s: filter.germ.sub_neg_add_monoid 0.000170 s: filter.germ.add_group._proof_1 0.000141 s: filter.germ.add_group._proof_2 0.000156 s: filter.germ.add_group._proof_3 0.000461 s: filter.germ.add_group._proof_4 0.000313 s: filter.germ.add_group._proof_5 0.000607 s: filter.germ.add_group._proof_6 0.008018 s: filter.germ.add_group._proof_7 0.003110 s: filter.germ.add_group 0.000935 s: measure_theory.ae_eq_fun.to_germ._proof_1 0.000582 s: measure_theory.ae_eq_fun.to_germ 0.000088 s: quotient.out' 0.000255 s: measure_theory.ae_eq_fun.has_coe_to_fun._proof_1 0.000321 s: measure_theory.ae_eq_fun.has_coe_to_fun 0.000748 s: measure_theory.ae_eq_fun.measurable 0.000292 s: measure_theory.ae_eq_fun.ae_measurable 0.000145 s: quotient.out_eq' 0.000238 s: measure_theory.ae_eq_fun.mk.equations._eqn_1 0.002131 s: measure_theory.ae_eq_fun.mk_coe_fn 0.000808 s: measure_theory.ae_eq_fun.ext 0.001006 s: measure_theory.ae_eq_fun.mk_to_germ 0.000747 s: measure_theory.ae_eq_fun.to_germ_eq 0.000831 s: measure_theory.ae_eq_fun.to_germ_injective 0.000823 s: measure_theory.ae_eq_fun.zero_to_germ 0.000296 s: measure_theory.ae_eq_fun.add_group._proof_1 0.000510 s: measure_theory.ae_eq_fun.induction_on 0.000502 s: measure_theory.ae_eq_fun.induction_on₂ 0.002268 s: measure_theory.ae_eq_fun.comp₂_mk_mk 0.000822 s: filter.germ.map₂_coe 0.002946 s: measure_theory.ae_eq_fun.comp₂_to_germ 0.001788 s: measure_theory.ae_eq_fun.add_to_germ 0.000482 s: measure_theory.ae_eq_fun.add_group._proof_2 0.001202 s: measure_theory.ae_eq_fun.comp_mk 0.000575 s: filter.germ.map_coe 0.001625 s: measure_theory.ae_eq_fun.comp_to_germ 0.000980 s: measure_theory.ae_eq_fun.neg_to_germ 0.001278 s: measure_theory.ae_eq_fun.sub_to_germ 0.003387 s: measure_theory.ae_eq_fun.add_group 0.000114 s: measure_theory.Lp._proof_1 0.000046 s: measure_theory.Lp._proof_2 0.000125 s: filter.Limsup 0.000051 s: filter.limsup 0.000059 s: ess_sup 0.000177 s: measure_theory.snorm_ess_sup 0.000480 s: real.decidable_lt 0.000039 s: complex.decidable_eq 0.000299 s: set.cod_restrict 0.000652 s: strict_mono.cod_restrict 0.001118 s: real.exp_order_iso._proof_1 0.070440 s: real.has_deriv_at_exp 0.073065 s: real.differentiable_exp 0.132541 s: real.continuous_exp 0.000038 s: real.semilattice_sup 0.000204 s: nontrivial.dcases_on 0.000027 s: by_contra 0.013289 s: filter.nontrivial_iff_nonempty 0.319896 s: filter.map_infi_le 0.175610 s: filter.map_infi_eq 0.004392 s: subtype.coe_le_coe 0.173882 s: filter.map_coe_at_top_of_Ici_subset 0.000846 s: set.Ici_subset_Ioi 0.000311 s: filter.le_comap_map 0.003540 s: filter.comap_map 0.001628 s: filter.at_top_Ioi_eq 0.001357 s: filter.tendsto_Ioi_at_top 0.000745 s: filter.tendsto_at_top_of_add_const_right 0.006528 s: filter.tendsto_at_top_of_add_bdd_above_right' 0.008934 s: filter.tendsto_at_top_add_right_of_le' 0.000917 s: filter.tendsto_at_top_add_const_right 0.006046 s: real.tendsto_exp_at_top 0.000796 s: set.dual_Ioo 0.020612 s: tfae_mem_nhds_within_Iio 0.004193 s: mem_nhds_within_Iio_iff_exists_mem_Ico_Ioo_subset 0.011093 s: Ioo_mem_nhds_within_Iio 0.020545 s: comap_coe_nhds_within_Iio_of_Ioo_subset 0.024758 s: comap_coe_nhds_within_Ioi_of_Ioo_subset 0.005014 s: comap_coe_Ioi_nhds_within_Ioi 0.001726 s: tendsto_Ioi_at_bot 0.014847 s: real.tendsto_exp_neg_at_top_nhds_0 0.000761 s: filter.tendsto_at_bot 0.003462 s: filter.tendsto_neg_at_top_at_bot 0.000115 s: order_dual.ordered_add_comm_monoid._proof_1 0.000079 s: order_dual.ordered_add_comm_monoid._proof_2 0.000131 s: order_dual.ordered_add_comm_monoid._proof_3 0.000358 s: order_dual.ordered_add_comm_monoid._proof_4 0.000250 s: order_dual.ordered_add_comm_monoid._proof_5 0.000163 s: order_dual.ordered_add_comm_monoid._proof_6 0.000147 s: order_dual.ordered_add_comm_monoid._proof_7 0.000169 s: order_dual.ordered_add_comm_monoid._proof_8 0.000225 s: order_dual.ordered_add_comm_monoid._proof_9 0.000317 s: order_dual.ordered_add_comm_monoid._proof_10 0.001962 s: order_dual.ordered_add_comm_monoid._proof_11 0.006686 s: order_dual.ordered_add_comm_monoid._proof_12 0.005573 s: order_dual.ordered_add_comm_monoid 0.000190 s: order_dual.ordered_add_comm_group._proof_1 0.000091 s: order_dual.ordered_add_comm_group._proof_2 0.000128 s: order_dual.ordered_add_comm_group._proof_3 0.000787 s: order_dual.ordered_add_comm_group._proof_4 0.000312 s: order_dual.ordered_add_comm_group._proof_5 0.000648 s: order_dual.ordered_add_comm_group._proof_6 0.000168 s: order_dual.ordered_add_comm_group._proof_7 0.000176 s: order_dual.ordered_add_comm_group._proof_8 0.000069 s: order_dual.ordered_add_comm_group._proof_9 0.000100 s: order_dual.ordered_add_comm_group._proof_10 0.000260 s: order_dual.ordered_add_comm_group._proof_11 0.000246 s: order_dual.ordered_add_comm_group._proof_12 0.000826 s: order_dual.ordered_add_comm_group._proof_13 0.037056 s: order_dual.ordered_add_comm_group 0.041056 s: filter.tendsto_neg_at_bot_at_top 0.045031 s: real.tendsto_exp_at_bot 0.001176 s: real.tendsto_exp_at_bot_nhds_within 0.040861 s: real.exp_order_iso._proof_2 0.010401 s: real.exp_order_iso 0.003539 s: real.log._proof_1 0.006907 s: real.log 0.002266 s: set.proj_Icc._proof_1 0.000555 s: set.proj_Icc 0.000216 s: set.Icc_extend 0.000235 s: neg_le_self 0.005338 s: real.arcsin._proof_1 0.000066 s: set.surj_on 0.000102 s: set.bij_on 0.000191 s: set.bij_on.maps_to 0.000133 s: subtype.val_prop 0.000880 s: set.bij_on.equiv._proof_1 0.000147 s: set.bij_on.inj_on 0.000125 s: set.bij_on.surj_on 0.003890 s: set.bij_on.bijective 0.000708 s: set.bij_on.equiv 0.000146 s: set.bij_on.mk 0.000248 s: set.inj_on.bij_on_image 0.002284 s: strict_mono_incr_on.inj_on 0.000221 s: strict_mono_incr_on.order_iso._proof_1 0.002792 s: strict_mono_incr_on.order_iso._proof_2 0.004871 s: strict_mono_incr_on.order_iso 0.012804 s: real.pi_div_two_pos 0.040191 s: real.sin_pi_div_two 0.013447 s: real.cos_sub_pi_div_two 0.009973 s: complex.cos_sub 0.055785 s: complex.cos_sub_cos 0.038605 s: real.cos_sub_cos 0.289311 s: real.cos_lt_cos_of_nonneg_of_le_pi_div_two 0.007824 s: real.cos_sub 0.006872 s: real.cos_pi_sub 0.004177 s: real.sin_add_pi_div_two 0.006068 s: has_strict_fderiv_at.restrict_scalars 0.015096 s: has_strict_deriv_at_iff_has_strict_fderiv_at 0.028772 s: has_strict_deriv_at.has_strict_fderiv_at 0.407561 s: has_strict_deriv_at.real_of_complex 0.004963 s: has_strict_deriv_at.sub 0.056771 s: complex.has_strict_deriv_at_sin 0.071715 s: real.has_strict_deriv_at_sin 0.071574 s: real.has_deriv_at_sin 0.069203 s: real.differentiable_sin 0.134357 s: real.continuous_sin 0.000650 s: real.sin_pos_of_mem_Ioo 0.002813 s: set.diff_diff 0.000198 s: set.mem_Ioo 0.016892 s: set.Ioc_diff_right 0.002828 s: set.Icc_diff_both 0.003433 s: set.Icc_diff_Ioo_same 0.000449 s: set.nonempty_Ioo 0.005507 s: is_lub_Ioo 0.004319 s: closure_Ioo 0.023470 s: real.sin_nonneg_of_mem_Icc 0.001741 s: cancel_factors.neg_subst 0.150589 s: real.cos_nonneg_of_mem_Icc 0.190033 s: real.cos_nonpos_of_pi_div_two_le_of_le 0.177585 s: real.cos_pos_of_mem_Ioo 0.205588 s: real.cos_neg_of_pi_div_two_lt_of_lt 0.024236 s: linarith.lt_of_lt_of_eq 0.003547 s: linarith.mul_eq 0.304118 s: real.cos_lt_cos_of_nonneg_of_le_pi 0.153037 s: real.sin_lt_sin_of_lt_of_le_pi_div_two 0.000806 s: real.strict_mono_incr_on_sin 0.000081 s: set.eq_of_subset_of_subset 0.000212 s: set.maps_to.image_subset 0.000240 s: set.surj_on.image_eq_of_maps_to 0.000171 s: set.bij_on.image_eq 0.104628 s: abs_le_iff_mul_self_le 0.013312 s: abs_le_one_iff_mul_self_le_one 0.074117 s: real.sin_sq_le_one 0.017919 s: real.abs_sin_le_one 0.005243 s: real.neg_one_le_sin 0.001754 s: real.sin_le_one 0.000432 s: real.sin_mem_Icc 0.000143 s: real.maps_to_sin 0.000931 s: real.inj_on_sin 0.001941 s: intermediate_value_Icc 0.027652 s: real.surj_on_sin 0.000240 s: real.bij_on_sin 0.000185 s: real.sin_order_iso._proof_1 0.007299 s: real.sin_order_iso 0.006694 s: real.arcsin 0.000124 s: complex.arg 0.000073 s: complex.log 0.000069 s: complex.cpow 0.000050 s: complex.has_pow 0.000060 s: real.rpow 0.000030 s: real.has_pow 0.000216 s: real.rpow_def 0.000126 s: complex.cpow_def 0.000065 s: complex.log.equations._eqn_1 0.003150 s: complex.log_re 0.003130 s: complex.log_im 0.000153 s: complex.arg.equations._eqn_1 0.007503 s: real.arcsin_mem_Icc 0.006237 s: real.arcsin.equations._eqn_1 0.000720 s: set.proj_Icc.equations._eqn_1 0.003179 s: set.proj_Icc_of_mem 0.001074 s: set.Icc_extend_of_mem 0.005150 s: real.coe_sin_order_iso_apply 0.002144 s: order_iso.apply_symm_apply 0.010150 s: real.sin_arcsin' 0.000233 s: real.arcsin_eq_of_sin_eq 0.005098 s: real.arcsin_zero 0.037840 s: complex.arg_of_real_of_nonneg 0.004813 s: complex.of_real_log 0.000071 s: real.exp_eq_exp 0.010786 s: real.rpow_def_of_nonneg 0.004849 s: real.rpow_nonneg_of_nonneg 0.000371 s: nnreal.rpow._proof_1 0.000062 s: nnreal.rpow 0.000021 s: nnreal.real.has_pow 0.000530 s: ennreal.rpow._main 0.000017 s: ennreal.rpow 0.000030 s: ennreal.real.has_pow 0.000937 s: measure_theory.simple_func 0.000237 s: measure_theory.simple_func.to_fun 0.000157 s: measure_theory.simple_func.has_coe_to_fun 0.000216 s: measure_theory.simple_func.finite_range' 0.000467 s: measure_theory.simple_func.finite_range 0.000195 s: measure_theory.simple_func.range 0.000431 s: measure_theory.simple_func.lintegral 0.000351 s: measure_theory.lintegral 0.000153 s: measure_theory.snorm' 0.000400 s: measure_theory.snorm 0.000462 s: measure_theory.snorm.equations._eqn_1 0.000058 s: filter.is_cobounded 0.000049 s: filter.is_cobounded_under 0.000032 s: filter.is_bounded 0.000039 s: filter.is_bounded_under 0.000408 s: cInf_le_cInf 0.001220 s: filter.Limsup_le_Limsup 0.000385 s: filter.eventually_le.trans 0.004225 s: filter.limsup_le_limsup 0.000242 s: filter.is_cobounded_le_of_bot 0.000270 s: filter.is_bounded_le_of_top 0.010142 s: ess_sup_mono_ae 0.000583 s: measure_theory.snorm'.equations._eqn_1 0.000192 s: nnreal.rpow_eq_pow 0.004223 s: complex.cpow_zero 0.000547 s: real.rpow_zero 0.001751 s: nnreal.rpow_zero 0.002355 s: ennreal.rpow_zero 0.002234 s: ennreal.top_rpow_def 0.000769 s: ennreal.top_rpow_of_pos 0.006277 s: real.log_zero 0.041098 s: complex.arg_zero 0.018379 s: complex.log_zero 0.003575 s: complex.zero_cpow 0.000652 s: real.zero_rpow 0.000491 s: nnreal.zero_rpow 0.001971 s: ennreal.zero_rpow_of_pos 0.001314 s: ennreal.coe_rpow_of_ne_zero 0.001466 s: ennreal.coe_rpow_of_nonneg 0.000606 s: real.rpow_def_of_pos 0.000106 s: real.rpow_pos_of_pos 0.000512 s: real.exp_lt_exp 0.010108 s: real.log_of_ne_zero 0.003199 s: real.coe_exp_order_iso_apply 0.007146 s: real.exp_log_eq_abs 0.003829 s: real.exp_log 0.001251 s: real.log_lt_log 0.004569 s: real.rpow_lt_rpow 0.000997 s: real.rpow_le_rpow 0.000858 s: nnreal.rpow_le_rpow 0.011475 s: ennreal.rpow_le_rpow 0.001293 s: measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero 0.000757 s: measure_theory.exists_measurable_superset_of_null 0.000082 s: set.ite 0.000141 s: set.ite.equations._eqn_1 0.002119 s: set.piecewise_preimage 0.000225 s: measurable_set.ite 0.001364 s: measurable.piecewise 0.000341 s: measure_theory.simple_func.measurable_set_fiber' 0.000504 s: measure_theory.simple_func.measurable_set_fiber 0.002393 s: measure_theory.simple_func.measurable_set_cut 0.000386 s: measure_theory.simple_func.measurable_set_preimage 0.000175 s: measure_theory.simple_func.measurable 0.003268 s: measure_theory.simple_func.piecewise._proof_1 0.001338 s: set.range_ite_subset 0.000908 s: measure_theory.simple_func.piecewise._proof_2 0.000499 s: measure_theory.simple_func.piecewise 0.000091 s: measure_theory.simple_func.const._proof_1 0.000210 s: set.finite_range_const 0.000137 s: measure_theory.simple_func.const 0.000143 s: measure_theory.simple_func.has_zero 0.000168 s: measure_theory.simple_func.restrict 0.000253 s: measure_theory.simple_func.restrict.equations._eqn_1 0.000854 s: measure_theory.simple_func.coe_restrict 0.000519 s: measure_theory.simple_func.restrict_apply 0.000573 s: measure_theory.simple_func.lintegral.equations._eqn_1 0.003619 s: finset.sum_bij_ne_zero 0.000398 s: measure_theory.simple_func.mem_range 0.000746 s: measure_theory.simple_func.forall_range_iff 0.000677 s: set.preimage_singleton_nonempty 0.000509 s: measure_theory.nonempty_of_measure_ne_zero 0.006714 s: measure_theory.simple_func.lintegral_eq_of_subset 0.001581 s: measure_theory.simple_func.mem_range_of_measure_ne_zero 0.002122 s: measure_theory.simple_func.lintegral_eq_of_measure_preimage 0.002564 s: set.union_diff_self 0.000619 s: measure_theory.measure_union_le 0.001531 s: measure_theory.ae_iff 0.002992 s: measure_theory.ae_le_set 0.005528 s: measure_theory.measure_mono_ae 0.000181 s: filter.eventually_le.measure_le 0.000356 s: filter.eventually_eq.le 0.006318 s: measure_theory.measure_congr 0.000433 s: filter.eventually_eq_set 0.000179 s: filter.eventually.set_eq 0.001393 s: measure_theory.simple_func.lintegral_congr 0.000445 s: measure_theory.mem_ae_iff 0.000810 s: measure_theory.compl_mem_ae_iff 0.001107 s: measure_theory.measure_zero_iff_ae_nmem 0.041123 s: measure_theory.lintegral_mono_ae 0.019504 s: measure_theory.snorm'_mono_ae 0.010038 s: measure_theory.snorm_mono_ae 0.008039 s: measure_theory.snorm_congr_norm_ae 0.000685 s: measure_theory.snorm_congr_ae 0.000398 s: quotient.mk_out' 0.001764 s: measure_theory.ae_eq_fun.coe_fn_mk 0.000396 s: measure_theory.ae_eq_fun.coe_fn_const 0.000499 s: measure_theory.ae_eq_fun.coe_fn_zero 0.035925 s: measure_theory.snorm'_exponent_zero 0.006016 s: measure_theory.snorm_exponent_zero 0.002213 s: ennreal.top_to_real 0.002717 s: measure_theory.snorm_exponent_top 0.000237 s: measure_theory.snorm_ess_sup.equations._eqn_1 0.000604 s: nnnorm_zero 0.002421 s: filter.limsup_eq 0.009535 s: filter.limsup_const_bot 0.000286 s: ess_sup_const_bot 0.034766 s: measure_theory.snorm_ess_sup_zero 0.005952 s: measure_theory.snorm_eq_snorm' 0.000254 s: finset.coe_injective 0.000383 s: measure_theory.simple_func.coe_range 0.000221 s: measure_theory.simple_func.coe_const 0.000293 s: eq_iff_eq_cancel_left 0.000658 s: set.singleton_eq_singleton_iff 0.001099 s: measure_theory.simple_func.range_const 0.000396 s: set.preimage_const_of_mem 0.000307 s: set.eq_empty_of_not_nonempty 0.001071 s: measure_theory.measure.eq_zero_of_not_nonempty 0.000607 s: measure_theory.measure.coe_zero 0.005508 s: measure_theory.simple_func.const_lintegral 0.000615 s: bsupr_le 0.000183 s: measure_theory.simple_func.has_le 0.000156 s: measure_theory.measure.partial_order._proof_1 0.000822 s: measure_theory.measure.partial_order._proof_2 0.000420 s: measure_theory.measure.partial_order._proof_3 0.008215 s: measure_theory.measure.partial_order._proof_4 0.001426 s: measure_theory.measure.partial_order 0.000823 s: measure_theory.simple_func.bind._proof_1 0.002571 s: measure_theory.simple_func.bind._proof_2 0.001035 s: measure_theory.simple_func.bind 0.000221 s: measure_theory.simple_func.map 0.000203 s: measure_theory.simple_func.seq 0.000149 s: measure_theory.simple_func.has_sup 0.000186 s: measure_theory.simple_func.pair 0.000766 s: measure_theory.simple_func.coe_map 0.002369 s: measure_theory.simple_func.range_map 0.000763 s: exists_eq_right_right' 0.001631 s: finset.bUnion_filter_eq_of_maps_to 0.001813 s: finset.sum_fiberwise_of_maps_to 0.001465 s: finset.sum_image' 0.000538 s: set.preimage_inter_range 0.004639 s: measure_theory.simple_func.map_preimage 0.000974 s: measure_theory.simple_func.map_preimage_singleton 0.004699 s: set.pairwise_on_disjoint_fiber 0.000966 s: set.preimage_bUnion 0.000562 s: set.bUnion_preimage_singleton 0.000795 s: finset.set_bUnion_preimage_singleton 0.001302 s: measure_theory.sum_measure_preimage_singleton 0.000454 s: measure_theory.simple_func.sum_measure_preimage_singleton 0.013109 s: measure_theory.simple_func.map_lintegral 0.007272 s: measure_theory.simple_func.sup_eq_map₂ 0.034149 s: measure_theory.simple_func.le_sup_lintegral 0.000251 s: measure_theory.simple_func.preorder._proof_1 0.000486 s: measure_theory.simple_func.preorder._proof_2 0.000167 s: measure_theory.simple_func.preorder._proof_3 0.000545 s: measure_theory.simple_func.preorder 0.000154 s: measure_theory.simple_func.partial_order._proof_1 0.000149 s: measure_theory.simple_func.partial_order._proof_2 0.004914 s: measure_theory.simple_func.partial_order._proof_3 0.000432 s: measure_theory.simple_func.cases_on 0.002789 s: measure_theory.simple_func.coe_injective 0.000287 s: measure_theory.simple_func.ext 0.000879 s: measure_theory.simple_func.partial_order._proof_4 0.001190 s: measure_theory.simple_func.partial_order 0.000160 s: measure_theory.simple_func.semilattice_sup._proof_1 0.000203 s: measure_theory.simple_func.semilattice_sup._proof_2 0.000336 s: measure_theory.simple_func.semilattice_sup._proof_3 0.000424 s: measure_theory.simple_func.semilattice_sup._proof_4 0.000318 s: measure_theory.simple_func.semilattice_sup._proof_5 0.000181 s: measure_theory.simple_func.semilattice_sup._proof_6 0.002116 s: measure_theory.simple_func.semilattice_sup._proof_7 0.003074 s: measure_theory.simple_func.semilattice_sup 0.026578 s: measure_theory.simple_func.lintegral_mono 0.014191 s: measure_theory.simple_func.lintegral_eq_lintegral 0.001661 s: measure_theory.lintegral_const 0.013376 s: measure_theory.snorm'_zero 0.002244 s: nnreal.coe_pos 0.000519 s: not_lt_zero' 0.000779 s: with_top.zero_lt_top 0.081431 s: ennreal.to_nnreal_pos_iff 0.008118 s: ennreal.to_real_pos_iff 0.030239 s: measure_theory.snorm_zero 0.062016 s: measure_theory.Lp._proof_3 0.008635 s: measure_theory.ae_eq_fun.comp₂_eq_pair 0.003851 s: measure_theory.ae_eq_fun.pair_mk_mk 0.003616 s: measure_theory.ae_eq_fun.pair_eq_mk 0.004021 s: measure_theory.ae_eq_fun.comp₂_eq_mk 0.002420 s: measure_theory.ae_eq_fun.coe_fn_comp₂ 0.001637 s: measure_theory.ae_eq_fun.coe_fn_add 0.000258 s: measure_theory.mem_ℒp 0.001535 s: nnnorm_add_le 0.001176 s: countable_Inter_filter 0.000441 s: set.set_of_forall 0.000189 s: set.sInter_range 0.000200 s: countable_Inter_filter.countable_sInter_mem_sets' 0.000309 s: countable_sInter_mem_sets 0.000598 s: countable_Inter_mem_sets 0.000721 s: eventually_countable_forall 0.000157 s: filter.Liminf 0.000063 s: filter.liminf 0.005454 s: filter.eventually_lt_of_lt_liminf 0.000091 s: order_dual.conditionally_complete_lattice._proof_1 0.000099 s: order_dual.conditionally_complete_lattice._proof_2 0.000604 s: order_dual.conditionally_complete_lattice._proof_3 0.000276 s: order_dual.conditionally_complete_lattice._proof_4 0.000316 s: order_dual.conditionally_complete_lattice._proof_5 0.000257 s: order_dual.conditionally_complete_lattice._proof_6 0.000504 s: order_dual.conditionally_complete_lattice._proof_7 0.000329 s: order_dual.conditionally_complete_lattice._proof_8 0.000310 s: order_dual.conditionally_complete_lattice._proof_9 0.000486 s: order_dual.conditionally_complete_lattice._proof_10 0.021228 s: order_dual.conditionally_complete_lattice 0.000105 s: order_dual.conditionally_complete_linear_order._proof_1 0.000154 s: order_dual.conditionally_complete_linear_order._proof_2 0.003023 s: order_dual.conditionally_complete_linear_order._proof_3 0.000338 s: order_dual.conditionally_complete_linear_order._proof_4 0.000351 s: order_dual.conditionally_complete_linear_order._proof_5 0.000337 s: order_dual.conditionally_complete_linear_order._proof_6 0.000548 s: order_dual.conditionally_complete_linear_order._proof_7 0.000278 s: order_dual.conditionally_complete_linear_order._proof_8 0.000254 s: order_dual.conditionally_complete_linear_order._proof_9 0.000418 s: order_dual.conditionally_complete_linear_order._proof_10 0.001448 s: order_dual.conditionally_complete_linear_order._proof_11 0.000979 s: order_dual.conditionally_complete_linear_order._proof_12 0.000942 s: order_dual.conditionally_complete_linear_order._proof_13 0.000930 s: order_dual.conditionally_complete_linear_order._proof_14 0.000292 s: order_dual.conditionally_complete_linear_order._proof_15 0.012005 s: order_dual.conditionally_complete_linear_order 0.017520 s: filter.eventually_lt_of_limsup_lt 0.081006 s: ennreal.eventually_le_limsup 0.040290 s: ennreal.limsup_add_le 0.033075 s: measure_theory.outer_measure.Union_null 0.000917 s: measure_theory.measure_Union_null 0.007226 s: measure_theory.measure.ae.countable_Inter_filter 0.000347 s: ennreal.ess_sup_add_le 0.007281 s: measure_theory.snorm_ess_sup_add_le 0.008231 s: measure_theory.lintegral_mono' 0.000376 s: measure_theory.lintegral_mono 0.000034 s: ennreal.measurable_space 0.000375 s: one_div_one 0.000590 s: real.sin_arcsin 0.056740 s: abs_div 0.017072 s: complex.abs_pos 0.855732 s: complex.abs_im_div_abs_le_one 0.001267 s: set.proj_Icc_coe 0.001476 s: set.Icc_extend_coe 0.000450 s: set.Icc_extend.equations._eqn_1 0.015040 s: real.arcsin_proj_Icc 0.005499 s: set.proj_Icc_of_le_left 0.004226 s: real.arcsin_neg_one 0.011191 s: real.arcsin_of_le_neg_one 0.007469 s: set.proj_Icc_of_right_le 0.005089 s: real.arcsin_one 0.009527 s: real.arcsin_of_one_le 0.000409 s: real.arcsin_le_pi_div_two 0.000336 s: real.neg_pi_div_two_le_arcsin 0.006646 s: real.arcsin_neg 0.040369 s: complex.sin_arg 0.000423 s: real.cos_arcsin_nonneg 0.007271 s: eq_sub_iff_add_eq' 0.083184 s: real.cos_arcsin 0.021632 s: div_pow 0.221179 s: _private.3573326013.cos_arg_of_re_nonneg 0.028485 s: complex.arg_eq_arg_neg_add_pi_of_im_nonneg_of_re_neg 0.004795 s: real.cos_add_pi 0.000207 s: neg_ne_zero 0.004254 s: complex.arg_eq_arg_neg_sub_pi_of_im_neg_of_re_neg 0.043971 s: complex.cos_arg 0.000163 s: complex.of_real_ne_zero 0.028107 s: complex.exp_log 0.009276 s: complex.cpow_one 0.000657 s: real.rpow_one 0.000411 s: nnreal.rpow_one 0.007235 s: ennreal.rpow_one 0.010441 s: measure_theory.lintegral_congr_ae 0.000733 s: filter.eventually_eq.comp₂ 0.000216 s: filter.eventually_eq.add 0.000210 s: measure_theory.simple_func.order_bot._proof_1 0.000188 s: measure_theory.simple_func.order_bot._proof_2 0.000457 s: measure_theory.simple_func.order_bot._proof_3 0.000377 s: measure_theory.simple_func.order_bot._proof_4 0.000268 s: measure_theory.simple_func.order_bot._proof_5 0.001713 s: measure_theory.simple_func.order_bot 0.000192 s: measure_theory.simple_func.semilattice_sup_bot._proof_1 0.000136 s: measure_theory.simple_func.semilattice_sup_bot._proof_2 0.000334 s: measure_theory.simple_func.semilattice_sup_bot._proof_3 0.000260 s: measure_theory.simple_func.semilattice_sup_bot._proof_4 0.000710 s: measure_theory.simple_func.semilattice_sup_bot._proof_5 0.000490 s: measure_theory.simple_func.semilattice_sup_bot._proof_6 0.000463 s: measure_theory.simple_func.semilattice_sup_bot._proof_7 0.000565 s: measure_theory.simple_func.semilattice_sup_bot._proof_8 0.005005 s: measure_theory.simple_func.semilattice_sup_bot 0.000232 s: measure_theory.simple_func.approx 0.000383 s: equiv.int_equiv_nat_sum_nat._proof_1 0.000418 s: equiv.int_equiv_nat_sum_nat._proof_2 0.000138 s: equiv.int_equiv_nat_sum_nat 0.000298 s: equiv.bool_prod_equiv_sum 0.000099 s: equiv.bool_prod_nat_equiv_nat._match_1 0.000392 s: equiv.bool_prod_nat_equiv_nat._match_1.equations._eqn_1 0.000785 s: equiv.bool_prod_nat_equiv_nat._match_2 0.000029 s: equiv.bool_prod_nat_equiv_nat._proof_1 0.000236 s: equiv.bool_prod_nat_equiv_nat._proof_2 0.000085 s: equiv.bool_prod_nat_equiv_nat 0.000119 s: equiv.nat_sum_nat_equiv_nat 0.000022 s: equiv.int_equiv_nat 0.000024 s: encodable.int 0.000127 s: rat.encodable._match_1 0.000219 s: rat.encodable._match_2 0.000263 s: rat.encodable._match_3 0.000041 s: rat.encodable._proof_1 0.000354 s: rat.encodable._match_4 0.000042 s: rat.encodable._proof_2 0.000248 s: rat.encodable 0.000073 s: measure_theory.simple_func.ennreal_rat_embed 0.000115 s: measure_theory.simple_func.eapprox 0.000126 s: measure_theory.simple_func.eapprox.equations._eqn_1 0.000639 s: measure_theory.simple_func.sup_apply 0.004941 s: measure_theory.simple_func.finset_sup_apply 0.000204 s: is_closed.measurable_set 0.000229 s: measurable_set_Ici 0.003206 s: measure_theory.simple_func.approx_apply 0.010523 s: measure_theory.simple_func.supr_approx_apply 0.000084 s: ennreal.borel_space 0.000166 s: measure_theory.simple_func.ennreal_rat_embed.equations._eqn_1 0.000942 s: measure_theory.simple_func.ennreal_rat_embed_encode 0.020579 s: measure_theory.simple_func.supr_eapprox_apply 0.004433 s: ennreal.add_supr 0.000493 s: supr_eq_bot 0.005372 s: ennreal.supr_eq_zero 0.031671 s: ennreal.supr_add_supr 0.033947 s: ennreal.supr_add_supr_of_monotone 0.009450 s: measure_theory.simple_func.monotone_approx 0.004966 s: measure_theory.simple_func.monotone_eapprox 0.006857 s: ennreal.coe_to_nnreal_le_self 0.008108 s: lt_Sup_iff 0.007724 s: Sup_eq_top 0.001248 s: supr_eq_top 0.005606 s: ennreal.div_lt_iff 0.000587 s: with_top.can_lift._proof_1 0.000188 s: with_top.can_lift 0.008023 s: with_top.mul_lt_top 0.027328 s: ennreal.mul_lt_top 0.010542 s: ennreal.mul_ne_top 0.031412 s: ennreal.exists_nat_pos_mul_gt 0.004605 s: ennreal.exists_nat_mul_gt 0.001755 s: set.indicator_comp_of_zero 0.000313 s: measure_theory.simple_func.restrict_of_not_measurable 0.000554 s: measure_theory.simple_func.coe_zero 0.000306 s: pi.comp_zero 0.000146 s: pi.const_zero 0.003149 s: measure_theory.simple_func.map_restrict_of_zero 0.000353 s: measure_theory.simple_func.map_coe_ennreal_restrict 0.001715 s: measure_theory.simple_func.map_const 0.000369 s: measure_theory.simple_func.mem_range_self 0.000522 s: set.indicator_preimage 0.000274 s: pi.zero_def 0.000550 s: set.preimage_const_of_not_mem 0.000292 s: bot_sdiff 0.002361 s: set.empty_diff 0.001288 s: set.ite_empty_right 0.000957 s: set.indicator_preimage_of_not_mem 0.000877 s: measure_theory.simple_func.restrict_preimage 0.000410 s: measure_theory.simple_func.restrict_preimage_singleton 0.004948 s: measure_theory.simple_func.restrict_lintegral 0.001617 s: measure_theory.simple_func.lintegral_restrict 0.000883 s: measure_theory.simple_func.restrict_lintegral_eq_lintegral_restrict 0.000587 s: measure_theory.simple_func.const_lintegral_restrict 0.000492 s: measure_theory.simple_func.restrict_const_lintegral 0.000412 s: lt_supr_iff 0.000874 s: add_monoid_hom.map_indicator 0.039446 s: ennreal.coe_indicator 0.005553 s: set.indicator_apply_le' 0.000825 s: set.indicator_le' 0.001963 s: set.indicator_le 0.040529 s: measure_theory.lintegral_eq_nnreal 0.025757 s: closure_Iio' 0.004650 s: nhds_within_Iio_ne_bot' 0.000217 s: nhds_within_Iio_self_ne_bot' 0.003188 s: ennreal.tendsto.mul_const 0.000261 s: ennreal.continuous_at_mul_const 0.000367 s: filter.eventually_inf_principal 0.000173 s: eventually_nhds_within_iff 0.013919 s: ennreal.le_of_forall_lt_one_mul_le 0.000139 s: measure_theory.simple_func.has_mul 0.032209 s: measure_theory.simple_func.const_mul_lintegral 0.055231 s: ennreal.mul_Sup 0.008672 s: ennreal.mul_supr 0.000328 s: ennreal.supr_zero_eq_zero 0.030187 s: ennreal.finset_sum_supr_nat 0.004413 s: measurable_set_le' 0.002653 s: measurable_set_le 0.004750 s: set.Union_eq_range_sigma 0.002053 s: set.countable_Union 0.003749 s: set.countable.bUnion 0.000547 s: set.countable.union 0.000289 s: set.countable_singleton 0.000239 s: set.countable.insert 0.035440 s: ennreal.topological_space.second_countable_topology 0.000893 s: measure_theory.simple_func.map_apply 0.000550 s: set.indicator_apply_le 0.000567 s: pi.has_Sup 0.000324 s: pi.has_Inf 0.009676 s: Inf_apply 0.002534 s: set.image_eq_range 0.001943 s: infi_apply 0.001267 s: supr_apply 0.000599 s: monotone.le_map_supr 0.000071 s: pi.has_top 0.000124 s: pi.semilattice_sup_top._proof_1 0.000180 s: pi.semilattice_sup_top._proof_2 0.000272 s: pi.semilattice_sup_top._proof_3 0.000354 s: pi.semilattice_sup_top._proof_4 0.000615 s: pi.semilattice_sup_top._proof_5 0.000620 s: pi.semilattice_sup_top._proof_6 0.000894 s: pi.semilattice_sup_top._proof_7 0.000931 s: pi.semilattice_sup_top._proof_8 0.003198 s: pi.semilattice_sup_top._proof_9 0.000070 s: pi.has_sup 0.002983 s: pi.semilattice_sup_top._proof_10 0.003266 s: pi.semilattice_sup_top._proof_11 0.004476 s: pi.semilattice_sup_top._proof_12 0.007065 s: pi.semilattice_sup_top 0.000189 s: pi.bounded_lattice._proof_1 0.000241 s: pi.bounded_lattice._proof_2 0.000926 s: pi.bounded_lattice._proof_3 0.000463 s: pi.bounded_lattice._proof_4 0.000515 s: pi.bounded_lattice._proof_5 0.000406 s: pi.bounded_lattice._proof_6 0.000613 s: pi.bounded_lattice._proof_7 0.000623 s: pi.bounded_lattice._proof_8 0.000413 s: pi.bounded_lattice._proof_9 0.000530 s: pi.bounded_lattice._proof_10 0.000382 s: pi.bounded_lattice._proof_11 0.000431 s: pi.bounded_lattice._proof_12 0.013662 s: pi.bounded_lattice 0.000401 s: pi.complete_lattice._proof_1 0.000365 s: pi.complete_lattice._proof_2 0.001030 s: pi.complete_lattice._proof_3 0.000731 s: pi.complete_lattice._proof_4 0.000624 s: pi.complete_lattice._proof_5 0.000442 s: pi.complete_lattice._proof_6 0.000566 s: pi.complete_lattice._proof_7 0.000391 s: pi.complete_lattice._proof_8 0.000447 s: pi.complete_lattice._proof_9 0.000627 s: pi.complete_lattice._proof_10 0.000398 s: pi.complete_lattice._proof_11 0.000445 s: pi.complete_lattice._proof_12 0.000732 s: pi.complete_lattice._proof_13 0.007299 s: pi.complete_lattice._proof_14 0.001141 s: pi.complete_lattice._proof_15 0.006582 s: pi.complete_lattice._proof_16 0.031534 s: pi.complete_lattice 0.000411 s: measure_theory.monotone_lintegral 0.071175 s: measure_theory.supr_lintegral_le 0.090138 s: measure_theory.lintegral_supr 0.000177 s: measure_theory.simple_func.has_add 0.017128 s: measure_theory.simple_func.add_eq_map₂ 0.005354 s: measure_theory.simple_func.add_lintegral 0.004118 s: measure_theory.lintegral_eq_supr_eapprox_lintegral 0.042229 s: measure_theory.lintegral_add 0.008449 s: measure_theory.lintegral_add' 0.000706 s: real.is_conjugate_exponent 0.002641 s: real.rpow_add 0.003788 s: nnreal.rpow_add 0.002817 s: ennreal.rpow_add 0.001454 s: ennreal.top_rpow_of_neg 0.001836 s: ennreal.zero_rpow_of_neg 0.000315 s: nnreal.coe_rpow 0.003289 s: real.rpow_eq_zero_iff_of_nonneg 0.000629 s: nnreal.rpow_eq_zero_iff 0.004268 s: ennreal.rpow_eq_zero_iff 0.004961 s: ennreal.rpow_eq_top_iff 0.001804 s: ennreal.rpow_eq_top_of_nonneg 0.000103 s: real.is_conjugate_exponent.one_lt 0.005740 s: real.is_conjugate_exponent.pos 0.000288 s: real.is_conjugate_exponent.nonneg 0.001811 s: ennreal.mul_le_mul_right 0.000090 s: real.is_conjugate_exponent.inv_add_inv_conj 0.002048 s: tactic.ring.unfold_div 0.031039 s: real.is_conjugate_exponent.sub_one_pos 0.005132 s: has_measurable_mul₂ 0.000165 s: has_measurable_mul₂.measurable_mul 0.005582 s: ae_measurable.mul 0.000181 s: subtype.measurable_space 0.000102 s: real.measurable_space 0.000061 s: nnreal.measurable_space 0.001974 s: measurable_equiv 0.000235 s: sum.measurable_space 0.000063 s: punit.measurable_space 0.000269 s: measurable_equiv.to_equiv 0.000407 s: measurable_equiv.measurable_to_fun 0.002690 s: measurable_equiv.trans._proof_1 0.000470 s: measurable_equiv.measurable_inv_fun 0.001004 s: measurable_equiv.trans._proof_2 0.001825 s: measurable_equiv.trans 0.000392 s: measurable.fst 0.000488 s: measurable_id 0.000338 s: measurable.snd 0.001205 s: measurable_equiv.prod_congr._proof_1 0.001319 s: measurable_equiv.prod_congr._proof_2 0.001561 s: measurable_equiv.prod_congr 0.000076 s: ennreal.ennreal_equiv_sum._proof_1 0.000047 s: ennreal.ennreal_equiv_sum._proof_2 0.000477 s: measurable_singleton_class 0.004954 s: set.inter_distrib_left 0.001873 s: measurable_set.subtype_image 0.002562 s: measurable_of_measurable_union_cover 0.000112 s: measurable_singleton_class.measurable_set_singleton 0.000272 s: measurable_set_eq 0.000308 s: subsingleton.eq_univ_of_nonempty 0.000215 s: subsingleton.set_cases 0.000123 s: subsingleton.measurable_set 0.000106 s: subsingleton.measurable 0.002922 s: measurable_of_measurable_on_compl_singleton 0.000152 s: opens_measurable_space.to_measurable_singleton_class 0.000172 s: measurable_equiv.has_coe_to_fun 0.000494 s: measurable_equiv.symm 0.000302 s: homeomorph.to_measurable_equiv._proof_1 0.000469 s: homeomorph.to_measurable_equiv._proof_2 0.000253 s: homeomorph.to_measurable_equiv 0.000142 s: subtype.measurable_space.equations._eqn_1 0.001773 s: measurable_space.comap_generate_from 0.000788 s: borel_comap 0.001510 s: subtype.borel_space 0.000414 s: measurable_equiv.ennreal_equiv_nnreal._proof_1 0.000163 s: real.borel_space 0.004400 s: nnreal.borel_space 0.000164 s: ennreal.ne_top_homeomorph_nnreal._proof_1 0.000108 s: ennreal.ne_top_homeomorph_nnreal._proof_2 0.000137 s: ennreal.nhds_coe 0.001352 s: ennreal.tendsto_to_nnreal 0.000372 s: ennreal.continuous_on_to_nnreal 0.000259 s: ennreal.ne_top_homeomorph_nnreal._proof_3 0.000251 s: inducing.continuous 0.000095 s: embedding.continuous 0.000100 s: ennreal.continuous_coe 0.000409 s: ennreal.ne_top_homeomorph_nnreal._proof_4 0.000575 s: ennreal.ne_top_homeomorph_nnreal 0.000289 s: measurable_equiv.ennreal_equiv_nnreal 0.000421 s: measurable_equiv.symm_to_equiv 0.000395 s: measurable_equiv.trans_to_equiv 0.000307 s: measurable_equiv.measurable 0.002422 s: measurable_equiv.measurable_coe_iff 0.001322 s: ennreal.measurable_of_measurable_nnreal 0.016629 s: measurable_inl 0.000860 s: ennreal.ennreal_equiv_sum._proof_3 0.028087 s: measurable_sum 0.000596 s: measurable.ennreal_coe 0.000227 s: ennreal.measurable_coe 0.001845 s: ennreal.ennreal_equiv_sum._proof_4 0.000249 s: ennreal.ennreal_equiv_sum 0.000270 s: measurable_equiv.refl 0.010851 s: measurable_set.inl_image 0.000331 s: measurable_set_range_inl 0.004662 s: measurable_set_inr_image 0.000467 s: measurable_set_range_inr 0.000735 s: set.prod_eq 0.002161 s: measurable.subtype_mk 0.000258 s: measurable_space.gc_comap_map 0.000204 s: measurable_space.le_map_comap 0.001958 s: measurable_subtype_coe 0.000479 s: measurable.subtype_coe 0.002648 s: measurable_equiv.set.prod._proof_1 0.002783 s: measurable_equiv.set.prod._proof_2 0.002578 s: measurable_equiv.set.prod 0.000737 s: measurable_equiv.set.range_inl._match_1 0.000096 s: measurable_equiv.set.range_inl._proof_1 0.002290 s: measurable_equiv.set.range_inl._proof_2 0.000647 s: measurable_equiv.set.range_inl._proof_3 0.000421 s: measurable_equiv.set.range_inl._match_1.equations._eqn_1 0.006732 s: measurable_equiv.set.range_inl._proof_4 0.001767 s: measurable_equiv.set.range_inl._proof_5 0.003536 s: measurable_equiv.set.range_inl 0.000406 s: measurable_equiv.set.univ._proof_1 0.000278 s: measurable_equiv.set.univ._proof_2 0.001004 s: measurable_equiv.set.univ 0.000805 s: measurable_equiv.set.range_inr._match_1 0.000075 s: measurable_equiv.set.range_inr._proof_1 0.001238 s: measurable_equiv.set.range_inr._proof_2 0.000361 s: measurable_equiv.set.range_inr._proof_3 0.000278 s: measurable_equiv.set.range_inr._match_1.equations._eqn_2 0.006138 s: measurable_equiv.set.range_inr._proof_4 0.016208 s: measurable_inr 0.004358 s: measurable_equiv.set.range_inr._proof_5 0.004177 s: measurable_equiv.set.range_inr 0.016213 s: measurable_equiv.sum_prod_distrib._proof_1 0.002641 s: measurable_equiv.sum_prod_distrib._proof_2 0.000584 s: measurable_equiv.sum_prod_distrib 0.005296 s: ennreal.measurable_of_measurable_nnreal_prod 0.000526 s: measurable_swap 0.000951 s: measurable_swap_iff 0.002068 s: ennreal.measurable_of_measurable_nnreal_nnreal 0.000469 s: has_continuous_mul.has_measurable_mul₂ 0.001260 s: induced_generate_from_eq 0.000619 s: topological_space.second_countable_topology_induced 0.000527 s: topological_space.subtype.second_countable_topology 0.000405 s: sigma_compact_space 0.000250 s: topological_space.separable_space 0.000128 s: topological_space.separable_space.exists_countable_dense 0.000052 s: topological_space.exists_countable_dense 0.001081 s: filter.has_basis.restrict 0.008735 s: nhdset_of_mem_uniformity 0.000183 s: subset_interior_iff_subset_of_open 0.324797 s: filter.lift_mono' 0.004954 s: filter.lift_lift'_assoc 0.001037 s: uniformity_lift_le_comp 0.001801 s: comp_le_uniformity3 0.165360 s: filter.mem_lift' 0.173125 s: uniformity_eq_uniformity_interior 0.000415 s: interior_mem_uniformity 0.003227 s: uniformity_has_basis_open 0.007171 s: uniformity_has_basis_open_symmetric 0.000425 s: uniform_space.is_open_ball 0.004226 s: mem_closure_iff 0.000198 s: dense_iff_closure_eq 0.000082 s: dense.closure_eq 0.001220 s: dense_iff_inter_open 0.000198 s: dense.inter_open_nonempty 0.000519 s: uniform_space.mem_ball_self 0.000713 s: mem_ball_comp 0.000622 s: ball_subset_of_comp_subset 0.006916 s: uniform_space.second_countable_of_separable 0.000098 s: emetric.second_countable_of_separable 0.000092 s: set.accumulate 0.000166 s: sigma_compact_space.exists_compact_covering 0.000149 s: compact_covering 0.000086 s: emetric.closed_ball 0.000469 s: set.countable_empty 0.000216 s: edist_triangle_right 0.102354 s: emetric.subset_countable_closure_of_almost_dense_set 0.022130 s: totally_bounded_iff_subset 0.006460 s: emetric.totally_bounded_iff' 0.000119 s: is_compact.totally_bounded 0.002207 s: emetric.mem_closed_ball 0.001020 s: emetric.ball_subset_closed_ball 0.001235 s: emetric.subset_countable_closure_of_compact 0.001231 s: filter.bInter_finset_mem_sets 0.000125 s: finset.Inter_mem_sets 0.019211 s: compact_of_finite_subfamily_closed 0.007321 s: compact_of_finite_subcover 0.003213 s: set.finite.compact_bUnion 0.000401 s: compact_accumulate 0.000502 s: is_compact_compact_covering 0.000197 s: compact_covering.equations._eqn_1 0.000580 s: set.mem_accumulate 0.000568 s: set.subset_accumulate 0.001506 s: set.Union_accumulate 0.001100 s: Union_compact_covering 0.001360 s: emetric.second_countable_of_sigma_compact 0.000079 s: subsingleton.le 0.000803 s: exists_nat_ge 0.006576 s: second_countable_of_proper 0.000042 s: real.topological_space.second_countable_topology 0.003284 s: nnreal.topological_space.second_countable_topology 0.000048 s: nnreal.metric_space 0.076862 s: ennreal.has_measurable_mul₂ 0.004639 s: has_measurable_pow 0.000319 s: has_measurable_pow.measurable_pow 0.009944 s: ae_measurable.pow 0.000288 s: ae_measurable.pow_const 0.000675 s: ennreal.coe_rpow_def 0.000503 s: measurable.ite 0.000248 s: measurable_set_Iio 0.002424 s: measurable.pow 0.000093 s: complex.measurable_space 0.000061 s: complex.borel_space 0.065071 s: complex.continuous_re 0.000212 s: complex.measurable_re 0.000263 s: measurable_one 0.000137 s: measurable_zero 0.000080 s: complex.measurable_exp 0.000175 s: measurable.cexp 0.000618 s: measurable.mul 0.151582 s: complex.isometry_of_real 0.000492 s: complex.continuous_of_real 0.000242 s: complex.measurable_of_real 0.000278 s: measurable_space.comap_mono 0.014330 s: subtype.opens_measurable_space 0.000768 s: continuous_generated_from 0.000272 s: order_iso.to_order_embedding 0.003162 s: order_iso.lt_iff_lt 0.001604 s: order_iso.preimage_Ioi 0.001698 s: order_iso.preimage_Iio 0.001715 s: order_iso.continuous 0.000477 s: continuous.norm 0.000752 s: continuous_subtype_coe 0.090297 s: real.continuous_on_log 0.078754 s: real.measurable_log 0.000613 s: measurable_norm 0.000906 s: has_measurable_mul 0.000162 s: has_measurable_mul.measurable_mul_const 0.000218 s: measurable.mul_const 0.000535 s: has_continuous_mul.has_measurable_mul 0.032967 s: complex.im_lm._proof_1 0.008710 s: complex.im_lm 0.004879 s: complex.im_lm_coe 0.148503 s: complex.im_clm._proof_1 0.305443 s: complex.im_clm 0.064857 s: complex.continuous_im 0.000835 s: has_measurable_add 0.000126 s: has_measurable_add.measurable_add_const 0.000264 s: measurable.add_const 0.000519 s: has_continuous_add.has_measurable_add 0.000788 s: has_measurable_sub 0.000107 s: has_measurable_sub.measurable_sub_const 0.000297 s: measurable.sub_const 0.000555 s: has_continuous_sub.has_measurable_sub 0.011018 s: continuous_proj_Icc 0.004307 s: continuous.Icc_extend 0.000930 s: set.ord_connected_Icc 0.020837 s: real.continuous_arcsin 0.000119 s: real.measurable_arcsin 0.004306 s: has_measurable_div₂ 0.000210 s: has_measurable_div₂.measurable_div 0.000522 s: measurable.div 0.000606 s: has_measurable_inv 0.000097 s: has_measurable_inv.measurable_inv 0.000270 s: measurable.inv 0.005737 s: has_measurable_div₂_of_mul_inv 0.005885 s: has_continuous_inv' 0.002437 s: measurable_of_continuous_on_compl_singleton 0.000257 s: has_continuous_inv'.continuous_at_inv' 0.001614 s: continuous_on_inv' 0.000357 s: has_continuous_inv'.has_measurable_inv 0.000305 s: is_open.eventually_mem 0.000246 s: continuous.tendsto' 0.001919 s: continuous.div_const 0.124018 s: normed_field.has_continuous_inv'._proof_1 0.000889 s: normed_field.has_continuous_inv' 0.000185 s: complex.measurable_im 0.178445 s: complex.measurable_arg 0.072164 s: complex.measurable_log 0.000216 s: measurable.clog 0.058989 s: complex.has_measurable_pow._proof_1 0.000396 s: complex.has_measurable_pow 0.000752 s: real.has_measurable_pow._proof_1 0.000252 s: real.has_measurable_pow 0.009072 s: nnreal.continuous_coe 0.000167 s: nnreal.measurable_coe 0.000234 s: measurable.nnreal_coe 0.000430 s: nnreal.real.has_measurable_pow._proof_1 0.000107 s: nnreal.real.has_measurable_pow 0.000246 s: measurable_set_Ioi 0.075859 s: ennreal.real.has_measurable_pow._proof_1 0.000224 s: ennreal.real.has_measurable_pow 0.010862 s: ae_measurable.add 0.006287 s: measure_theory.lintegral_zero_fun 0.002190 s: pi.mul_zero_class._proof_1 0.001503 s: pi.mul_zero_class._proof_2 0.000222 s: pi.mul_zero_class 0.000407 s: filter.eventually_eq.mul 0.000256 s: measure_theory.ae_all_iff 0.000327 s: ennreal.coe_nat_ne_top 0.036381 s: measure_theory.mul_meas_ge_le_lintegral 0.006359 s: measure_theory.lintegral_zero 0.031159 s: measure_theory.lintegral_eq_zero_iff 0.005189 s: measure_theory.lintegral_eq_zero_iff' 0.030781 s: ennreal.ae_eq_zero_of_lintegral_rpow_eq_zero 0.010179 s: ennreal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero 0.001333 s: pi.comm_semigroup._proof_1 0.002329 s: pi.comm_semigroup._proof_2 0.000356 s: pi.comm_semigroup 0.000077 s: field.to_nontrivial 0.024743 s: sub_div' 0.000296 s: real.is_conjugate_exponent.ne_zero 0.005483 s: div_div_eq_mul_div 0.151474 s: real.is_conjugate_exponent.conj_eq 0.020071 s: one_lt_div 0.069441 s: sub_one_lt 0.853342 s: real.is_conjugate_exponent.symm 0.032236 s: ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_eq_top 0.000175 s: ennreal.fun_mul_inv_snorm 0.003899 s: measure_theory.lintegral_congr 0.000300 s: pi.mul_apply 0.000303 s: ennreal.fun_mul_inv_snorm.equations._eqn_1 0.001826 s: ennreal.inv_mul_cancel 0.014965 s: ennreal.fun_eq_fun_mul_inv_snorm_mul_snorm 0.000867 s: measure_theory.lintegral.equations._eqn_1 0.038191 s: measure_theory.lintegral_const_mul_le 0.037207 s: measure_theory.lintegral_const_mul' 0.007121 s: measure_theory.lintegral_mul_const' 0.003259 s: ennreal.coe_div 0.001463 s: complex.of_real_cpow 0.002264 s: complex.norm_sq_one 0.000444 s: complex.abs_one 0.004580 s: real.log_one 0.044998 s: complex.arg_one 0.011487 s: complex.log_one 0.000720 s: complex.abs_exp_of_real 0.007154 s: complex.abs_cos_add_sin_mul_I 0.008705 s: div_eq_div_iff 0.287470 s: complex.arg_eq_arg_iff 0.116492 s: complex.arg_real_mul 0.000360 s: real.arcsin_sin' 0.000543 s: real.arcsin_sin 0.018145 s: real.sin_add_pi 0.003263 s: real.sin_neg_of_neg_of_neg_pi_lt 0.000397 s: real.sin_nonneg_of_nonneg_of_le_pi 0.205270 s: complex.arg_cos_add_sin_mul_I 0.022460 s: complex.exp_inj_of_neg_pi_lt_of_le_pi 0.000570 s: strict_mono.comp_strict_mono_incr_on 0.002994 s: subtype.strict_mono_coe 0.002779 s: set.strict_mono_incr_on_proj_Icc 0.001210 s: strict_mono.strict_mono_incr_on_Icc_extend 0.001686 s: order_iso.strict_mono 0.013664 s: real.strict_mono_incr_on_arcsin 0.002966 s: real.arcsin_le_iff_le_sin 0.000323 s: set.mem_Icc_of_Ico 0.003964 s: real.arcsin_le_iff_le_sin' 0.004093 s: real.le_arcsin_iff_sin_le' 0.000451 s: neg_lt_zero 0.003363 s: real.arcsin_nonneg 0.002125 s: real.arcsin_nonpos 0.000534 s: real.arcsin_pos 0.598667 s: complex.neg_pi_lt_arg 0.646245 s: complex.arg_le_pi 0.000817 s: complex.log_exp 0.046266 s: complex.cpow_mul 0.013724 s: real.rpow_mul 0.006333 s: fin.sum_univ_succ_above 0.001978 s: fin.sum_univ_succ 0.001905 s: fin.sum_univ_zero 0.005960 s: ring_hom.map_prod 0.009243 s: nnreal.coe_prod 0.000111 s: multiset.decidable_dexists_multiset._proof_1 0.000201 s: multiset.decidable_exists_multiset._proof_1 0.000802 s: multiset.decidable_exists_multiset 0.000067 s: multiset.decidable_dexists_multiset._proof_2 0.001644 s: multiset.decidable_dexists_multiset._match_1 0.000653 s: multiset.decidable_dexists_multiset._match_2 0.000539 s: multiset.decidable_dexists_multiset._proof_3 0.000752 s: multiset.decidable_dexists_multiset 0.000520 s: finset.decidable_dexists_finset 0.012837 s: real.exp_sum 0.000489 s: finset.center_mass 0.002338 s: finset.center_mass.equations._eqn_1 0.000132 s: add_monoid_hom.fst._proof_1 0.000115 s: add_monoid_hom.fst._proof_2 0.000781 s: add_monoid_hom.fst 0.003359 s: prod.fst_sum 0.000129 s: add_monoid_hom.snd._proof_1 0.000142 s: add_monoid_hom.snd._proof_2 0.000684 s: add_monoid_hom.snd 0.002282 s: prod.snd_sum 0.004049 s: finset.sum_eq_zero_iff_of_nonneg 0.224256 s: finset.center_mass_insert 0.177257 s: convex_iff_div 0.122043 s: convex.center_mass_mem 0.158577 s: convex_on.convex_epigraph 0.402567 s: convex_on.map_center_mass_le 0.111535 s: convex_on.map_sum_le 0.102410 s: linear_order.convex_on_of_lt 0.048433 s: div_le_div_iff 0.653573 s: convex_on_real_of_slope_mono_adjacent 0.000096 s: is_min_filter 0.000059 s: is_max_filter 0.000063 s: is_extr_filter 0.000051 s: is_local_extr 0.000055 s: is_local_min 0.000074 s: is_local_max 0.000308 s: is_local_extr.elim 0.004200 s: continuous_linear_map.ext_iff 0.000124 s: is_local_min_on 0.002434 s: pos_tangent_cone_at 0.000080 s: is_local_max_on 0.000279 s: filter.tendsto_at_top_mono 0.223104 s: is_local_max_on.has_fderiv_within_at_nonpos 0.034753 s: linear_map.map_neg 0.002560 s: continuous_linear_map.map_neg 0.190887 s: is_local_max_on.has_fderiv_within_at_eq_zero 0.021377 s: is_max_filter.comp_mono 0.000393 s: is_max_filter_dual_iff 0.000209 s: is_min_filter.dual 0.002099 s: is_min_filter.comp_antimono 0.000454 s: is_min_filter.neg 0.000383 s: is_local_min_on.neg 0.003995 s: has_fderiv_within_at.neg 0.195984 s: is_local_min_on.has_fderiv_within_at_eq_zero 0.000638 s: is_min_filter.filter_mono 0.032125 s: is_min_filter.filter_inf 0.000289 s: is_local_min.on 0.011955 s: one_le_two 0.419948 s: mem_pos_tangent_cone_at_of_segment_subset 0.084453 s: mem_pos_tangent_cone_at_of_segment_subset' 0.089175 s: pos_tangent_cone_at_univ 0.190240 s: is_local_min.has_fderiv_at_eq_zero 0.261467 s: is_local_min.has_deriv_at_eq_zero 0.024125 s: is_min_filter.comp_mono 0.000445 s: is_min_filter_dual_iff 0.000190 s: is_max_filter.dual 0.002207 s: is_max_filter.comp_antimono 0.000505 s: is_max_filter.neg 0.000309 s: is_local_max.neg 0.000692 s: has_deriv_at.neg 0.095710 s: is_local_max.has_deriv_at_eq_zero 0.078731 s: is_local_extr.has_deriv_at_eq_zero 0.000139 s: is_extr_on 0.000067 s: is_local_extr_on 0.000482 s: is_local_extr_on.elim 0.000105 s: is_min_filter.is_extr 0.022908 s: is_local_min_on.is_local_min 0.000103 s: is_max_filter.is_extr 0.000450 s: is_max_filter.filter_mono 0.007998 s: is_local_max_on.is_local_max 0.000980 s: is_local_extr_on.is_local_extr 0.000353 s: is_extr_filter.filter_mono 0.007595 s: is_extr_on.localize 0.000258 s: is_extr_on.is_local_extr 0.003116 s: is_open_Ioo 0.000505 s: Ioo_mem_nhds 0.000324 s: Icc_mem_nhds 0.000251 s: is_glb.mem_of_is_closed 0.011688 s: is_closed.cInf_mem 0.000029 s: not.imp 0.000182 s: set.univ_nonempty 0.000338 s: bdd_above_empty 0.000237 s: bdd_above.mono 0.001763 s: bdd_above.union 0.000223 s: bdd_above_union 0.000234 s: is_lub.bdd_above 0.000084 s: bdd_above_singleton 0.000667 s: bdd_above_insert 0.000112 s: bdd_above.insert 0.000184 s: set.finite.bdd_above 0.000757 s: set.finite.bdd_below 0.004158 s: is_compact.bdd_below 0.000371 s: is_compact.Inf_mem 0.001158 s: is_compact.exists_Inf_image_eq 0.014557 s: is_compact.is_glb_Inf 0.004631 s: is_compact.exists_forall_le 0.000548 s: set.nonempty_Icc 0.032276 s: is_compact.exists_forall_ge 0.021719 s: exists_Ioo_extr_on_Icc 0.003782 s: exists_local_extr_Ioo 0.066165 s: exists_has_deriv_at_eq_zero 0.010136 s: has_deriv_at.const_mul 0.134903 s: exists_ratio_has_deriv_at_eq_ratio_slope 0.000318 s: pi.one_apply 0.142953 s: exists_has_deriv_at_eq_slope 0.017880 s: differentiable_within_at.differentiable_at 0.129121 s: exists_deriv_eq_slope 0.015569 s: set.nonempty.image_const 0.000318 s: units.mul_right._proof_1 0.002376 s: units.inv_mul_cancel_right 0.000216 s: units.mul_right._proof_2 0.000389 s: units.mul_right 0.001988 s: set.mem_image_iff_of_inverse 0.001405 s: equiv.image_eq_preimage 0.001784 s: units.mul_right_symm 0.000316 s: units.mul_right_apply 0.000535 s: set.Ici_inter_Iic 0.029175 s: set.preimage_mul_const_Ici 0.026875 s: set.preimage_mul_const_Iic 0.004143 s: set.preimage_mul_const_Icc 0.082235 s: set.image_mul_right_Icc' 0.029571 s: set.image_mul_right_Icc 0.001923 s: set.image_add_left 0.001750 s: set.preimage_add_const_Ici 0.002057 s: set.preimage_add_const_Iic 0.001310 s: set.preimage_add_const_Icc 0.002440 s: set.image_const_add_Icc 0.100381 s: segment_eq_Icc 0.020612 s: segment_symm 0.016665 s: segment_eq_Icc' 0.022592 s: segment_eq_interval 0.000358 s: set.ord_connected_def 0.003382 s: set.ord_connected_iff 0.001984 s: set.ord_connected_iff_interval_subset 0.019790 s: real.convex_iff_ord_connected 0.020184 s: convex.ord_connected 0.004069 s: differentiable_on.mono 0.000189 s: set.Icc_subset_Icc_left 0.191561 s: convex_on_of_deriv_mono 0.287694 s: convex.mul_sub_le_image_sub_of_le_deriv 0.231644 s: convex.mono_of_deriv_nonneg 0.000125 s: set.has_add 0.000130 s: set.has_scalar_set 0.000336 s: set.add_mem_add 0.026559 s: convex_iff_pointwise_add_subset 0.000235 s: set.image_smul 0.001935 s: set.image2_subset 0.000436 s: set.add_subset_add 0.001868 s: set.Union_image_left 0.000466 s: set.Union_add_left_image 0.002174 s: homeomorph.preimage_symm 0.000088 s: quotient_map 0.000379 s: topological_space_eq_iff 0.000518 s: quotient_map_iff 0.000245 s: quotient_map.is_open_preimage 0.000467 s: continuous_coinduced_rng 0.001156 s: quotient_map.of_quotient_map_compose 0.000701 s: homeomorph.self_comp_symm 0.000351 s: coinduced_id 0.000178 s: quotient_map.id 0.000722 s: homeomorph.quotient_map 0.000321 s: homeomorph.is_open_preimage 0.000641 s: homeomorph.is_open_image 0.000313 s: homeomorph.is_open_map 0.001217 s: is_open_map_add_left 0.001359 s: is_open.add_left 0.000999 s: units.smul_inv_smul 0.000492 s: units.smul_perm 0.003152 s: units.smul_perm_hom._proof_1 0.002768 s: units.smul_perm_hom._proof_2 0.000418 s: units.smul_perm_hom 0.000794 s: continuous.const_smul 0.000434 s: homeomorph.smul_of_unit._proof_1 0.000397 s: homeomorph.smul_of_unit._proof_2 0.001096 s: homeomorph.smul_of_unit 0.000945 s: is_unit.is_open_map_smul 0.000527 s: is_open_map_smul' 0.001945 s: set.Union_image_right 0.000336 s: set.Union_add_right_image 0.000887 s: is_open_map_add_right 0.000591 s: is_open.add_right 0.084363 s: convex.interior 0.000113 s: interior_interior 0.271441 s: convex_on_of_deriv2_nonneg 0.000463 s: function.iterate_one 0.269560 s: convex_on_open_of_deriv2_nonneg 0.022445 s: differentiable.differentiable_on 0.187202 s: convex_on_univ_of_deriv2_nonneg 0.085686 s: real.deriv_exp 0.076001 s: has_deriv_at_filter.comp_has_fderiv_at_filter 0.024834 s: has_deriv_at_filter.mono 0.017385 s: has_deriv_at.comp_has_fderiv_at 0.241446 s: has_fderiv_at.exp 0.229904 s: differentiable_at.exp 0.090135 s: differentiable.exp 0.000812 s: has_fderiv_at_id 0.000620 s: differentiable_at_id 0.000403 s: differentiable_id' 0.000595 s: function.iterate_succ_apply 0.079734 s: real.iter_deriv_exp 0.203319 s: convex_on_exp 0.191393 s: real.geom_mean_le_arith_mean_weighted 0.064004 s: nnreal.geom_mean_le_arith_mean_weighted 0.034743 s: nnreal.geom_mean_le_arith_mean2_weighted 0.011623 s: real.geom_mean_le_arith_mean2_weighted 0.012782 s: real.is_conjugate_exponent.one_div_pos 0.000336 s: real.is_conjugate_exponent.one_div_nonneg 0.130835 s: real.young_inequality_of_nonneg 0.037461 s: nnreal.young_inequality 0.000273 s: real.is_conjugate_exponent.one_lt_nnreal 0.000460 s: nnreal.coe_inv 0.028257 s: nnreal.of_real_inv 0.067009 s: nnreal.of_real_div' 0.008680 s: real.is_conjugate_exponent.inv_add_inv_conj_nnreal 0.002170 s: nnreal.young_inequality_real 0.019036 s: ennreal.young_inequality 0.000455 s: ae_measurable.mul_const 0.000399 s: has_measurable_mul₂.to_has_measurable_mul 0.060699 s: measure_theory.lintegral_const_mul 0.007856 s: measure_theory.lintegral_const_mul'' 0.004970 s: measure_theory.lintegral_mul_const'' 0.001763 s: ennreal.of_real_one 0.002218 s: ennreal.of_real_mul 0.001714 s: ennreal.of_real_inv_of_pos 0.073361 s: ennreal.of_real_div_of_pos 0.011181 s: real.is_conjugate_exponent.inv_add_inv_conj_ennreal 0.004220 s: ennreal.lintegral_mul_le_one_of_lintegral_rpow_eq_one 0.015475 s: real.log_mul 0.027155 s: real.mul_rpow 0.007233 s: nnreal.mul_rpow 0.062004 s: ennreal.mul_rpow_of_ne_zero 0.016835 s: ennreal.mul_rpow_of_nonneg 0.063744 s: abs_inv 0.997293 s: real.log_inv 0.041511 s: real.inv_rpow 0.010285 s: nnreal.inv_rpow 0.001962 s: ennreal.inv_rpow_of_pos 0.004902 s: complex.one_cpow 0.000611 s: real.one_rpow 0.002234 s: nnreal.one_rpow 0.002946 s: ennreal.one_rpow 0.002581 s: zero_lt_mul_right 0.001081 s: nnreal.rpow_mul 0.025510 s: ennreal.rpow_mul 0.040052 s: ennreal.fun_mul_inv_snorm_rpow 0.008014 s: ennreal.lintegral_rpow_fun_mul_inv_snorm_eq_one 0.056661 s: ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_top 0.039046 s: ennreal.lintegral_mul_le_Lp_mul_Lq 0.000313 s: eq_div_iff 0.000440 s: real.is_conjugate_exponent.sub_one_ne_zero 0.045820 s: real.is_conjugate_exponent.sub_one_mul_conj 0.044192 s: ennreal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpow 0.049354 s: ennreal.lintegral_rpow_add_le_add_snorm_mul_lintegral_rpow_add 0.064432 s: _private.1601442165.lintegral_Lp_add_le_aux 0.000068 s: real.conjugate_exponent 0.122112 s: real.is_conjugate_exponent_iff 0.000148 s: real.is_conjugate_exponent_conjugate_exponent 0.016583 s: nnreal.rpow_lt_rpow 0.008867 s: ennreal.rpow_lt_rpow 0.000132 s: ennreal.rpow_ne_top_of_nonneg 0.000169 s: ennreal.rpow_lt_top_of_nonneg 0.012707 s: real.rpow_neg 0.000862 s: nnreal.rpow_neg 0.014807 s: ennreal.rpow_neg 0.001783 s: ennreal.rpow_neg_one 0.000647 s: univ_unique 0.000158 s: fin.default_eq_zero 0.005849 s: ennreal.le_of_top_imp_top_of_to_nnreal_le 0.001504 s: multiset.sum_eq_foldr 0.001031 s: multiset.sum_induction 0.000870 s: finset.sum_induction 0.001969 s: with_top.sum_lt_top 0.001950 s: finset.sum_piecewise 0.001908 s: finset.sum_inter_add_sum_diff 0.001473 s: finset.sum_eq_add_sum_diff_singleton 0.004445 s: with_top.sum_eq_top_iff 0.064524 s: ennreal.sum_eq_top_iff 0.087051 s: ennreal.sum_lt_top 0.010904 s: ennreal.to_nnreal_sum 0.006141 s: with_top.sum_lt_top_iff 0.071630 s: ennreal.sum_lt_top_iff 0.002007 s: ennreal.one_to_nnreal 0.017599 s: ennreal.to_nnreal_rpow 0.000069 s: ennreal.to_nnreal_hom._proof_1 0.003129 s: ennreal.to_nnreal_mul_top 0.001446 s: ennreal.to_nnreal_top_mul 0.004801 s: ennreal.to_nnreal_hom._proof_2 0.039007 s: ennreal.to_nnreal_hom 0.009459 s: ennreal.to_nnreal_mul 0.016063 s: set.ord_connected.convex 0.017009 s: convex_Ici 0.005586 s: real.continuous_log' 0.073169 s: real.continuous_rpow_aux1 0.068190 s: complex.arg_neg_one 0.000279 s: complex.of_real_def 0.009539 s: max_eq_right_iff 0.044965 s: le_neg_self_iff 0.017637 s: abs_eq_neg_self 0.095749 s: complex.arg_eq_pi_iff 0.000442 s: complex.arg_of_real_of_neg 0.000209 s: abs_abs 0.021389 s: real.log_abs 0.002433 s: real.log_neg_eq_log 0.029215 s: real.rpow_def_of_neg 0.079440 s: real.continuous_rpow_aux2 0.018876 s: real.continuous_at_rpow_of_ne_zero 0.104861 s: rat.cast_pos 0.012265 s: exists_pos_rat_lt 0.000967 s: subtype.dist_eq 0.003996 s: mul_le_of_le_one_right 0.075571 s: real.cos_sq_le_one 0.018598 s: real.abs_cos_le_one 0.068941 s: real.abs_rpow_le_abs_rpow 0.058117 s: mul_lt_mul_of_neg_left 0.005830 s: real.log_lt_log_iff 0.008565 s: real.log_neg_iff 0.000057 s: real.log_neg 0.003524 s: real.rpow_lt_rpow_of_exponent_gt 0.003815 s: sub_half 0.033205 s: sub_lt_of_abs_sub_lt_left 0.750809 s: real.continuous_rpow_aux3 0.010952 s: real.continuous_at_rpow_of_pos 0.001448 s: real.continuous_rpow 0.000216 s: real.continuous_rpow_of_pos 0.051160 s: has_deriv_at_filter.scomp 0.010065 s: has_deriv_within_at.scomp 0.005001 s: has_deriv_within_at.comp 0.000889 s: has_deriv_at.comp_has_deriv_within_at 0.002277 s: set.Iic_union_Ici 0.001109 s: asymptotics.is_O_with.join 0.000751 s: asymptotics.is_o.join 0.015046 s: has_deriv_within_at.union 0.004495 s: filter.eventually_bot 0.007292 s: has_fderiv_within_at_of_not_mem_closure 0.000085 s: closure_closure 0.000688 s: metric.nhds_within_basis_ball 0.004532 s: metric.tendsto_nhds_within_nhds_within 0.002365 s: metric.tendsto_nhds_within_nhds 0.000552 s: metric.mem_nhds_within_iff 0.001197 s: nhds_within_prod_eq 0.000373 s: pi.sub_apply 0.011251 s: tendsto_nhds_within_of_tendsto_nhds 0.105767 s: convex.norm_image_sub_le_of_norm_fderiv_within_le' 0.013435 s: differentiable_at.fderiv_within 0.002916 s: convex.inter 0.326535 s: has_fderiv_at_boundary_of_tendsto_fderiv 0.000879 s: set.ord_connected_Iio 0.000562 s: set.ord_connected_Ioo 0.049121 s: convex_Ioo 0.037717 s: deriv_fderiv 0.007981 s: is_bounded_bilinear_map.continuous 0.001403 s: is_bounded_bilinear_map.continuous_right 0.000616 s: set.Ioo_subset_Iio_self 0.000308 s: no_bot_order 0.000095 s: no_bot_order.no_bot 0.000051 s: no_bot 0.001403 s: mem_nhds_within_Iic_iff_exists_Ioc_subset 0.004871 s: mem_nhds_within_Iic_iff_exists_Icc_subset 0.017357 s: exists_zero_lt 0.017351 s: linear_ordered_add_comm_group.to_no_bot_order 0.000361 s: order_dual.no_top_order 0.023013 s: mem_nhds_within_Iio_iff_exists_Ico_subset 0.555257 s: has_deriv_at_interval_right_endpoint_of_tendsto_deriv 0.002566 s: differentiable_at.differentiable_within_at 0.003532 s: mem_nhds_within_Ici_iff_exists_Ico_subset' 0.000877 s: mem_nhds_within_Ici_iff_exists_Ico_subset 0.002636 s: mem_nhds_within_Ici_iff_exists_Icc_subset 0.526928 s: has_deriv_at_interval_left_endpoint_of_tendsto_deriv 0.078942 s: has_deriv_at_of_has_deriv_at_of_ne 0.037417 s: filter.eventually_eq.has_deriv_at_filter_iff 0.002349 s: has_deriv_at_filter.congr_of_eventually_eq 0.001914 s: has_deriv_at.congr_of_eventually_eq 0.007862 s: real.exp_sub 0.006972 s: real.exp_log_of_neg 0.001612 s: mul_eq_mul_right_iff 0.005265 s: has_deriv_within_at.mul_const 0.001044 s: has_deriv_at.mul_const 0.003905 s: has_deriv_at_filter.comp 0.001169 s: has_deriv_at.comp 0.003689 s: continuous_linear_equiv.map_sub 0.001914 s: continuous_linear_equiv.coe_coe 0.003553 s: filter.eventually.prod_inl_nhds 0.001712 s: filter.eventually.prod_inr_nhds 0.000968 s: filter.eventually.prod_mk_nhds 0.000805 s: asymptotics.is_o.symm 0.002589 s: continuous_linear_equiv.is_O_comp 0.001868 s: continuous_linear_equiv.is_O_comp_rev 0.000253 s: asymptotics.is_O_with.of_neg_left 0.001275 s: asymptotics.is_O_with_neg_right 0.000207 s: asymptotics.is_O_with.neg_right 0.342526 s: asymptotics.is_O_with.right_le_sub_of_lt_1 0.033108 s: asymptotics.is_O_with.right_le_add_of_lt_1 0.012017 s: asymptotics.is_o.right_is_O_add 0.014896 s: has_strict_fderiv_at.is_O_sub_rev 0.018351 s: has_strict_fderiv_at.of_local_left_inverse 0.002985 s: continuous_linear_equiv.equiv_of_inverse._proof_1 0.001363 s: continuous_linear_equiv.equiv_of_inverse._proof_2 0.004098 s: continuous_linear_equiv.equiv_of_inverse 0.000167 s: continuous_linear_equiv.units_equiv_aut._proof_1 0.001551 s: continuous_linear_equiv.units_equiv_aut._proof_2 0.000199 s: continuous_linear_equiv.units_equiv_aut._proof_3 0.000518 s: continuous_linear_equiv.units_equiv_aut._proof_4 0.023239 s: continuous_linear_equiv.units_equiv_aut._proof_5 0.022511 s: continuous_linear_equiv.units_equiv_aut._proof_6 0.007365 s: continuous_linear_equiv.map_smul 0.012904 s: continuous_linear_equiv.units_equiv_aut._proof_7 0.016789 s: continuous_linear_equiv.units_equiv_aut._proof_8 0.009586 s: continuous_linear_equiv.symm_equiv_of_inverse 0.004685 s: continuous_linear_equiv.equiv_of_inverse_apply 0.000974 s: units.mk_coe 0.039376 s: continuous_linear_equiv.units_equiv_aut._proof_9 0.007817 s: continuous_linear_equiv.cases_on 0.001828 s: continuous_linear_equiv.to_linear_equiv_injective 0.001628 s: linear_equiv.cases_on 0.001155 s: linear_equiv.no_confusion_type 0.001412 s: linear_equiv.no_confusion 0.001757 s: linear_equiv.mk.inj 0.003517 s: linear_equiv.mk.inj_eq 0.003293 s: linear_equiv.to_equiv_injective 0.001583 s: linear_equiv.ext 0.002577 s: continuous_linear_equiv.ext 0.003198 s: continuous_linear_equiv.ext₁ 0.000812 s: units.inv_mk 0.039561 s: continuous_linear_equiv.units_equiv_aut._proof_10 0.022741 s: continuous_linear_equiv.units_equiv_aut 0.041977 s: has_strict_deriv_at.has_strict_fderiv_at_equiv 0.039573 s: has_strict_deriv_at.of_local_left_inverse 0.075153 s: real.continuous_at_log 0.079320 s: real.has_strict_deriv_at_exp 0.137693 s: real.has_strict_deriv_at_log_of_pos 0.002803 s: has_strict_deriv_at_neg 0.176733 s: real.has_strict_deriv_at_log 0.083542 s: real.has_deriv_at_log 0.175849 s: real.has_deriv_at_rpow_of_neg 0.195585 s: real.has_deriv_at_rpow_of_pos 0.085773 s: real.has_deriv_at_rpow 0.214613 s: real.has_deriv_at_rpow_zero_of_one_le 0.086193 s: real.has_deriv_at_rpow_of_one_le 0.077774 s: has_deriv_within_at.rpow_of_one_le 0.076174 s: has_deriv_at.rpow_of_one_le 0.072477 s: differentiable_at.rpow_of_one_le 0.074528 s: differentiable.rpow_of_one_le 0.075974 s: deriv_rpow_of_one_le 0.000766 s: differentiable_at_id' 0.000349 s: deriv_id 0.000231 s: deriv_id'' 0.014247 s: set.compl_Iio 0.002327 s: interior_compl 0.000537 s: closure_Iio 0.003813 s: set.compl_Iic 0.001304 s: interior_Ici 0.003430 s: algebra.smul_mul_assoc 0.002779 s: is_scalar_tower.right 0.034864 s: has_fderiv_at.prod 0.099571 s: has_fderiv_at.smul 0.183697 s: has_fderiv_at.mul 0.049480 s: differentiable_at.mul 0.086497 s: has_deriv_within_at.rpow 0.078486 s: has_deriv_at.rpow 0.074270 s: differentiable_at.rpow 0.010552 s: deriv_mul 0.000354 s: deriv_const 0.000357 s: deriv_const' 0.067265 s: deriv_rpow 0.252876 s: convex_on_rpow 0.159740 s: real.rpow_arith_mean_le_arith_mean_rpow 0.048176 s: nnreal.rpow_arith_mean_le_arith_mean_rpow 0.002178 s: ennreal.one_lt_top 0.082152 s: ennreal.rpow_arith_mean_le_arith_mean_rpow 0.018954 s: ennreal.rpow_arith_mean_le_arith_mean2_rpow 0.003802 s: ennreal.div_add_div_same 0.000154 s: has_measurable_mul.measurable_const_mul 0.000501 s: ae_measurable.const_mul 0.001418 s: ennreal.ne_top_of_mul_ne_top_left 0.000391 s: ennreal.lt_top_of_mul_lt_top_left 0.001530 s: ennreal.lt_top_of_mul_lt_top_right 0.060243 s: ennreal.mul_lt_top_iff 0.061699 s: ennreal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_top 0.128709 s: ennreal.lintegral_Lp_add_le 0.016684 s: continuous_nnnorm 0.000262 s: measurable_nnnorm 0.000179 s: measurable_ennnorm 0.002393 s: ae_measurable.ennnorm 0.068811 s: measure_theory.snorm'_add_le 0.003164 s: ennreal.one_to_real 0.039536 s: measure_theory.snorm_add_le 0.006526 s: measure_theory.snorm_add_lt_top_of_one_le 0.062020 s: ennreal.rpow_le_rpow_iff 0.057486 s: ennreal.le_rpow_one_div_iff 0.012253 s: one_div_one_div 0.001140 s: ennreal.rpow_eq_top_iff_of_pos 0.005936 s: ennreal.add_ne_top 0.004202 s: ennreal.div_one 0.003415 s: ennreal.div_rpow_of_nonneg 0.004684 s: linarith.le_of_le_of_eq 0.000570 s: real.exp_le_exp 0.056407 s: mul_le_mul_of_nonpos_left 0.006837 s: real.log_pos_iff 0.007161 s: real.log_nonpos_iff 0.011000 s: real.log_nonpos_iff' 0.000113 s: real.log_nonpos 0.005079 s: real.rpow_le_rpow_of_exponent_ge 0.004381 s: nnreal.rpow_le_rpow_of_exponent_ge 0.003180 s: ennreal.coe_le_one_iff 0.101229 s: ennreal.rpow_le_rpow_of_exponent_ge 0.000342 s: ennreal.rpow_le_self_of_le_one 0.043876 s: _private.3116415879.add_rpow_le_one_of_add_le_one 0.051186 s: ennreal.add_rpow_le_rpow_add 0.121193 s: ennreal.rpow_add_rpow_le_add 0.019567 s: one_le_div 0.179854 s: ennreal.rpow_add_rpow_le 0.049713 s: ennreal.rpow_add_le_add_rpow 0.039677 s: measure_theory.lintegral_rpow_nnnorm_eq_rpow_snorm' 0.005342 s: measure_theory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top 0.028281 s: measure_theory.snorm'_add_lt_top_of_le_one 0.000328 s: measure_theory.mem_ℒp.equations._eqn_1 0.088972 s: measure_theory.snorm_add_lt_top 0.021896 s: measure_theory.Lp._proof_4 0.002265 s: measure_theory.ae_eq_fun.comp_eq_mk 0.001910 s: measure_theory.ae_eq_fun.coe_fn_comp 0.001118 s: measure_theory.ae_eq_fun.coe_fn_neg 0.000271 s: pi.neg_apply 0.000522 s: nnnorm_neg 0.003374 s: measure_theory.snorm'_neg 0.002493 s: measure_theory.snorm_neg 0.004326 s: measure_theory.Lp._proof_5 0.001697 s: measure_theory.Lp 0.002791 s: measure_theory.Lp.mem_Lp_iff_snorm_lt_top 0.001877 s: measure_theory.Lp.mem_Lp_iff_mem_ℒp 0.001441 s: nat.smul_one_eq_coe 0.003473 s: units.is_unit_mul_units 0.000015 s: opposite 0.000031 s: opposite.unop 0.000095 s: quiver.opposite 0.000019 s: category_theory.large_category 0.003357 s: category_theory.bundled_hom 0.000644 s: category_theory.bundled_hom.id 0.000626 s: category_theory.bundled_hom.comp 0.000565 s: category_theory.bundled_hom.to_fun 0.000748 s: category_theory.bundled_hom.hom_ext 0.001053 s: category_theory.bundled_hom.comp_to_fun 0.000848 s: category_theory.bundled_hom.id_to_fun 0.000138 s: function.right_id 0.003232 s: category_theory.bundled_hom.category._proof_1 0.000088 s: function.left_id 0.002574 s: category_theory.bundled_hom.category._proof_2 0.004354 s: category_theory.bundled_hom.category._proof_3 0.001742 s: category_theory.bundled_hom.category 0.000938 s: continuous_map 0.000298 s: continuous_map.to_fun 0.000112 s: continuous_map.id 0.000092 s: continuous_map.has_coe_to_fun 0.000378 s: continuous_map.continuous_to_fun 0.000303 s: continuous_map.continuous 0.000496 s: continuous_map.comp._proof_1 0.000280 s: continuous_map.comp 0.000379 s: continuous_map.cases_on 0.001039 s: continuous_map.coe_inj 0.000075 s: Top.bundled_hom._proof_1 0.000141 s: Top.bundled_hom._proof_2 0.000730 s: Top.bundled_hom 0.000094 s: Top.large_category 0.000238 s: TopCommRing 0.000013 s: CommRing 0.000044 s: category_theory.bundled.of 0.000042 s: CommRing.of 0.000042 s: TopCommRing.α 0.000026 s: TopCommRing.has_coe_to_sort 0.000086 s: TopCommRing.is_comm_ring 0.000049 s: TopCommRing.is_topological_space 0.001046 s: TopCommRing.category_theory.category._proof_1 0.001942 s: TopCommRing.category_theory.category._proof_2 0.000926 s: ring_hom.cases_on 0.002048 s: ring_hom.coe_inj 0.000259 s: ring_hom.ext 0.000641 s: ring_hom.comp_id 0.004518 s: TopCommRing.category_theory.category._proof_3 0.001002 s: ring_hom.id_comp 0.006424 s: TopCommRing.category_theory.category._proof_4 0.003522 s: TopCommRing.category_theory.category._proof_5 0.022478 s: TopCommRing.category_theory.category 0.000266 s: category_theory.types._proof_1 0.000214 s: category_theory.types._proof_2 0.000230 s: category_theory.types._proof_3 0.003685 s: category_theory.types 0.002153 s: category_theory.faithful 0.000615 s: category_theory.concrete_category 0.001640 s: category_theory.functor.comp._proof_1 0.001803 s: category_theory.functor.map_comp 0.001690 s: category_theory.functor.comp._proof_2 0.000997 s: category_theory.functor.comp 0.000196 s: category_theory.concrete_category.forget 0.000060 s: category_theory.forget 0.001442 s: category_theory.has_forget₂ 0.000544 s: category_theory.has_forget₂.forget₂ 0.000115 s: category_theory.forget₂ 0.001035 s: TopCommRing.category_theory.concrete_category._proof_1 0.000800 s: TopCommRing.category_theory.concrete_category._proof_2 0.004708 s: TopCommRing.category_theory.concrete_category._proof_3 0.002435 s: TopCommRing.category_theory.concrete_category 0.000624 s: category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_1 0.002758 s: category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_2 0.005071 s: category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_3 0.002459 s: category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category 0.000211 s: Top.concrete_category 0.000713 s: category_theory.faithful.map_injective 0.000316 s: category_theory.functor.map_injective 0.000072 s: heq.subst 0.000053 s: heq.trans 0.001480 s: category_theory.faithful.div._proof_1 0.000082 s: heq.symm 0.003385 s: category_theory.faithful.div._proof_2 0.001489 s: category_theory.faithful.div 0.000251 s: category_theory.concrete_category.forget_faithful 0.001012 s: category_theory.functor.cases_on 0.001922 s: category_theory.faithful.div.equations._eqn_1 0.001721 s: category_theory.functor.comp.equations._eqn_1 0.023757 s: category_theory.faithful.div_comp 0.005301 s: category_theory.has_forget₂.mk'._proof_1 0.001657 s: category_theory.has_forget₂.mk' 0.000056 s: Top.of 0.000520 s: TopCommRing.forget_topological_space 0.000248 s: TopCommRing.has_forget_to_Top._proof_1 0.000915 s: TopCommRing.has_forget_to_Top._proof_2 0.000024 s: heq.rfl 0.002094 s: TopCommRing.has_forget_to_Top._proof_3 0.002452 s: TopCommRing.has_forget_to_Top 0.000748 s: continuous_map.has_add._proof_1 0.000566 s: continuous_map.has_add 0.001147 s: continuous_map.ext 0.001245 s: continuous_map_add_semigroup._proof_1 0.000317 s: continuous_map_add_semigroup 0.000402 s: continuous_map_add_comm_monoid._proof_1 0.000111 s: continuous_map.const 0.000160 s: continuous_map.has_zero 0.001408 s: continuous_map_add_comm_monoid._proof_2 0.000956 s: continuous_map_add_comm_monoid._proof_3 0.000857 s: continuous_map_add_comm_monoid._proof_4 0.000831 s: continuous_map_add_comm_monoid._proof_5 0.002755 s: continuous_map_add_comm_monoid._proof_6 0.002730 s: continuous_map_add_comm_monoid._proof_7 0.001502 s: continuous_map_add_comm_monoid._proof_8 0.003012 s: continuous_map_add_comm_monoid 0.001275 s: continuous_map_semiring._proof_1 0.000926 s: continuous_map_semiring._proof_2 0.001100 s: continuous_map_semiring._proof_3 0.001102 s: continuous_map_semiring._proof_4 0.000860 s: continuous_map_semiring._proof_5 0.000647 s: continuous_map_semiring._proof_6 0.000565 s: continuous_map.has_mul._proof_1 0.000460 s: continuous_map.has_mul 0.000893 s: continuous_map_semigroup._proof_1 0.000217 s: continuous_map_semigroup 0.000437 s: continuous_map_monoid._proof_1 0.000116 s: continuous_map.has_one 0.001011 s: continuous_map_monoid._proof_2 0.000979 s: continuous_map_monoid._proof_3 0.000901 s: continuous_map_monoid._proof_4 0.000887 s: continuous_map_monoid._proof_5 0.003194 s: continuous_map_monoid._proof_6 0.003609 s: continuous_map_monoid._proof_7 0.002551 s: continuous_map_monoid 0.001195 s: continuous_map_semiring._proof_7 0.000818 s: continuous_map_semiring._proof_8 0.000800 s: continuous_map_semiring._proof_9 0.001147 s: continuous_map_semiring._proof_10 0.000981 s: continuous_map_semiring._proof_11 0.003899 s: continuous_map_semiring._proof_12 0.003811 s: continuous_map_semiring._proof_13 0.005471 s: continuous_map_semiring._proof_14 0.005307 s: continuous_map_semiring._proof_15 0.003523 s: continuous_map_semiring 0.000114 s: continuous_map_comm_ring._proof_1 0.000574 s: continuous_map_comm_ring._proof_2 0.000376 s: continuous_map_comm_ring._proof_3 0.000241 s: continuous_map_comm_ring._proof_4 0.000543 s: continuous_map_comm_ring._proof_5 0.000448 s: continuous_map_comm_ring._proof_6 0.000430 s: continuous_map_add_monoid._proof_1 0.001113 s: continuous_map_add_monoid._proof_2 0.001141 s: continuous_map_add_monoid._proof_3 0.000896 s: continuous_map_add_monoid._proof_4 0.001118 s: continuous_map_add_monoid._proof_5 0.002782 s: continuous_map_add_monoid._proof_6 0.002665 s: continuous_map_add_monoid._proof_7 0.002849 s: continuous_map_add_monoid 0.000467 s: continuous_map_add_group._proof_1 0.000244 s: continuous_map_add_group._proof_2 0.000267 s: continuous_map_add_group._proof_3 0.000725 s: continuous_map_add_group._proof_4 0.000595 s: continuous_map_add_group._proof_5 0.001497 s: continuous_map_add_group._proof_6 0.000287 s: continuous_map_add_group._proof_7 0.000218 s: continuous_map_add_group._proof_8 0.000291 s: continuous_map_add_group._proof_9 0.000401 s: continuous_map_add_group._proof_10 0.000356 s: continuous_map_add_group._proof_11 0.002134 s: continuous_map_add_group._proof_12 0.005113 s: continuous_map_add_group._proof_13 0.004476 s: continuous_map_add_group 0.000265 s: continuous_map_add_comm_group._proof_1 0.000251 s: continuous_map_add_comm_group._proof_2 0.000141 s: continuous_map_add_comm_group._proof_3 0.000428 s: continuous_map_add_comm_group._proof_4 0.000354 s: continuous_map_add_comm_group._proof_5 0.000639 s: continuous_map_add_comm_group._proof_6 0.000715 s: continuous_map_add_comm_group._proof_7 0.005136 s: continuous_map_add_comm_group._proof_8 0.005633 s: continuous_map_add_comm_group 0.000402 s: topological_ring.continuous_neg 0.001480 s: topological_ring.to_topological_add_group 0.000103 s: continuous_map_comm_ring._proof_7 0.001239 s: continuous_map_comm_ring._proof_8 0.000822 s: continuous_map_comm_ring._proof_9 0.000341 s: continuous_map_comm_ring._proof_10 0.000295 s: continuous_map_comm_ring._proof_11 0.000208 s: continuous_map_comm_ring._proof_12 0.000162 s: continuous_map_comm_ring._proof_13 0.000458 s: continuous_map_comm_ring._proof_14 0.000513 s: continuous_map_comm_ring._proof_15 0.000276 s: continuous_map_comm_ring._proof_16 0.000253 s: continuous_map_comm_ring._proof_17 0.000479 s: continuous_map_comm_monoid._proof_1 0.001412 s: continuous_map_comm_monoid._proof_2 0.001132 s: continuous_map_comm_monoid._proof_3 0.001102 s: continuous_map_comm_monoid._proof_4 0.000917 s: continuous_map_comm_monoid._proof_5 0.003205 s: continuous_map_comm_monoid._proof_6 0.003092 s: continuous_map_comm_monoid._proof_7 0.001398 s: continuous_map_comm_monoid._proof_8 0.003993 s: continuous_map_comm_monoid 0.002510 s: continuous_map_comm_ring._proof_18 0.035474 s: continuous_map_comm_ring 0.001098 s: TopCommRing.forget_to_Top_comm_ring 0.000314 s: TopCommRing.is_topological_ring 0.000560 s: TopCommRing.forget_to_Top_topological_ring 0.002187 s: Top.continuous_functions 0.000187 s: quiver.hom.unop 0.007336 s: Top.continuous_functions.pullback._proof_4 0.000173 s: complete_lattice_of_complete_semilattice_Inf._proof_1 0.000114 s: complete_lattice_of_complete_semilattice_Inf 0.000134 s: measure_theory.measure.complete_semilattice_Inf._proof_1 0.000193 s: measure_theory.measure.complete_semilattice_Inf._proof_2 0.001959 s: measure_theory.measure.complete_semilattice_Inf._proof_3 0.000325 s: measure_theory.measure.complete_semilattice_Inf._proof_4 0.000459 s: complete_lattice_of_Sup._proof_1 0.000310 s: complete_lattice_of_Sup._proof_2 0.000131 s: upper_bounds_singleton 0.001853 s: upper_bounds_insert 0.002744 s: complete_lattice_of_Sup._proof_3 0.000333 s: complete_lattice_of_Sup._proof_4 0.000254 s: complete_lattice_of_Sup._proof_5 0.001400 s: complete_lattice_of_Sup._proof_6 0.000239 s: complete_lattice_of_Sup._proof_7 0.000517 s: complete_lattice_of_Sup._proof_8 0.000222 s: complete_lattice_of_Sup._proof_9 0.000792 s: complete_lattice_of_Sup._proof_10 0.000222 s: complete_lattice_of_Sup._proof_11 0.000830 s: complete_lattice_of_Sup._proof_12 0.002378 s: complete_lattice_of_Sup 0.000143 s: measure_theory.outer_measure.outer_measure.order_bot._proof_1 0.000254 s: measure_theory.outer_measure.outer_measure.order_bot._proof_2 0.000147 s: measure_theory.outer_measure.outer_measure.order_bot._proof_3 0.007301 s: measure_theory.outer_measure.outer_measure.order_bot._proof_4 0.000226 s: measure_theory.outer_measure.outer_measure.order_bot._proof_5 0.029628 s: measure_theory.outer_measure.outer_measure.order_bot 0.032301 s: measure_theory.outer_measure.has_Sup._proof_1 0.000444 s: le_bsupr 0.005390 s: bsupr_le_bsupr 0.006602 s: measure_theory.outer_measure.has_Sup._proof_2 0.008223 s: measure_theory.outer_measure.has_Sup._proof_3 0.009489 s: measure_theory.outer_measure.has_Sup 0.011266 s: measure_theory.outer_measure.complete_lattice._proof_1 0.000069 s: measure_theory.outer_measure.complete_lattice._proof_2 0.000131 s: measure_theory.outer_measure.complete_lattice._proof_3 0.000950 s: measure_theory.outer_measure.complete_lattice._proof_4 0.000422 s: measure_theory.outer_measure.complete_lattice._proof_5 0.013010 s: measure_theory.outer_measure.complete_lattice._proof_6 0.013843 s: measure_theory.outer_measure.complete_lattice._proof_7 0.016885 s: measure_theory.outer_measure.complete_lattice._proof_8 0.013316 s: measure_theory.outer_measure.complete_lattice._proof_9 0.013498 s: measure_theory.outer_measure.complete_lattice._proof_10 0.015957 s: measure_theory.outer_measure.complete_lattice._proof_11 0.013830 s: measure_theory.outer_measure.complete_lattice._proof_12 0.000342 s: measure_theory.outer_measure.complete_lattice._proof_13 0.014150 s: measure_theory.outer_measure.complete_lattice._proof_14 0.014187 s: measure_theory.outer_measure.complete_lattice._proof_15 0.016089 s: measure_theory.outer_measure.complete_lattice._proof_16 0.014951 s: measure_theory.outer_measure.complete_lattice._proof_17 0.015855 s: measure_theory.outer_measure.complete_lattice 0.032208 s: measure_theory.outer_measure.bounded_by._proof_1 0.000144 s: 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measure_theory.measure.has_Inf 0.002482 s: measure_theory.measure.Inf_apply 0.020757 s: _private.3559450893.measure_Inf_le 0.000163 s: measure_theory.measure.complete_semilattice_Inf._proof_5 0.010500 s: measure_theory.outer_measure.le_trim_iff 0.001660 s: measure_theory.measure.to_outer_measure_le 0.016304 s: _private.3291363873.measure_le_Inf 0.000224 s: measure_theory.measure.complete_semilattice_Inf._proof_6 0.003733 s: measure_theory.measure.complete_semilattice_Inf 0.000134 s: measure_theory.measure.complete_lattice._proof_1 0.000110 s: measure_theory.measure.complete_lattice._proof_2 0.000292 s: measure_theory.measure.complete_lattice._proof_3 0.000231 s: measure_theory.measure.complete_lattice._proof_4 0.000376 s: measure_theory.measure.complete_lattice._proof_5 0.000541 s: measure_theory.measure.complete_lattice._proof_6 0.000507 s: measure_theory.measure.complete_lattice._proof_7 0.000396 s: measure_theory.measure.complete_lattice._proof_8 0.000281 s: measure_theory.measure.complete_lattice._proof_9 0.000356 s: measure_theory.measure.complete_lattice._proof_10 0.000397 s: measure_theory.measure.complete_lattice._proof_11 0.000340 s: measure_theory.measure.complete_lattice._proof_12 0.000385 s: measure_theory.measure.complete_lattice._proof_13 0.000314 s: measure_theory.measure.complete_lattice._proof_14 0.000263 s: measure_theory.measure.complete_lattice._proof_15 0.000399 s: measure_theory.measure.complete_lattice._proof_16 0.033975 s: measure_theory.measure.complete_lattice 0.000326 s: onote 0.000107 s: onote.sizeof 0.000086 s: onote.zero.sizeof_spec 0.007230 s: linear_ordered_add_comm_monoid.add 0.002130 s: linear_ordered_add_comm_monoid.add_assoc 0.001481 s: linear_ordered_add_comm_monoid.zero 0.001656 s: linear_ordered_add_comm_monoid.zero_add 0.001586 s: linear_ordered_add_comm_monoid.add_zero 0.001386 s: linear_ordered_add_comm_monoid.nsmul 0.001981 s: linear_ordered_add_comm_monoid.nsmul_zero' 0.001783 s: linear_ordered_add_comm_monoid.nsmul_succ' 0.001558 s: linear_ordered_add_comm_monoid.add_comm 0.004773 s: linear_ordered_add_comm_monoid.add_le_add_left 0.005035 s: linear_ordered_add_comm_monoid.lt_of_add_lt_add_left 0.000929 s: linear_ordered_add_comm_monoid.to_ordered_add_comm_monoid 0.012707 s: linear_ordered_add_comm_monoid_with_top 0.008138 s: valuation 0.000246 s: multiplicative.ordered_comm_monoid._proof_1 0.000220 s: multiplicative.ordered_comm_monoid._proof_2 0.000084 s: multiplicative.ordered_comm_monoid._proof_3 0.000283 s: multiplicative.ordered_comm_monoid._proof_4 0.000328 s: multiplicative.ordered_comm_monoid._proof_5 0.000129 s: multiplicative.ordered_comm_monoid._proof_6 0.000053 s: multiplicative.partial_order 0.000075 s: multiplicative.ordered_comm_monoid._proof_7 0.000181 s: multiplicative.ordered_comm_monoid._proof_8 0.000177 s: multiplicative.ordered_comm_monoid._proof_9 0.000340 s: multiplicative.ordered_comm_monoid._proof_10 0.010061 s: multiplicative.ordered_comm_monoid 0.003005 s: linear_ordered_add_comm_monoid_with_top.le 0.001843 s: linear_ordered_add_comm_monoid_with_top.lt 0.002169 s: linear_ordered_add_comm_monoid_with_top.le_refl 0.002152 s: linear_ordered_add_comm_monoid_with_top.le_trans 0.002364 s: linear_ordered_add_comm_monoid_with_top.lt_iff_le_not_le 0.003226 s: linear_ordered_add_comm_monoid_with_top.le_antisymm 0.003428 s: linear_ordered_add_comm_monoid_with_top.le_total 0.003137 s: linear_ordered_add_comm_monoid_with_top.decidable_le 0.001991 s: linear_ordered_add_comm_monoid_with_top.decidable_eq 0.002988 s: linear_ordered_add_comm_monoid_with_top.decidable_lt 0.001992 s: linear_ordered_add_comm_monoid_with_top.add 0.002662 s: linear_ordered_add_comm_monoid_with_top.add_assoc 0.002532 s: linear_ordered_add_comm_monoid_with_top.zero 0.002649 s: linear_ordered_add_comm_monoid_with_top.zero_add 0.003320 s: linear_ordered_add_comm_monoid_with_top.add_zero 0.002700 s: linear_ordered_add_comm_monoid_with_top.nsmul 0.002987 s: linear_ordered_add_comm_monoid_with_top.nsmul_zero' 0.003291 s: linear_ordered_add_comm_monoid_with_top.nsmul_succ' 0.002350 s: linear_ordered_add_comm_monoid_with_top.add_comm 0.005857 s: linear_ordered_add_comm_monoid_with_top.add_le_add_left 0.007139 s: linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left 0.001108 s: linear_ordered_add_comm_monoid_with_top.to_linear_ordered_add_comm_monoid 0.000156 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_1 0.000157 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_2 0.000965 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_3 0.000227 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_4 0.000061 s: multiplicative.linear_order 0.000464 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_5 0.000106 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_6 0.000120 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_7 0.000160 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_8 0.000277 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_9 0.000245 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_10 0.000187 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_11 0.000983 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_12 0.000733 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_13 0.002248 s: linear_ordered_add_comm_monoid_with_top.top 0.003519 s: linear_ordered_add_comm_monoid_with_top.le_top 0.000396 s: linear_ordered_add_comm_monoid_with_top.to_order_top 0.016659 s: linear_ordered_add_comm_monoid_with_top.top_add' 0.000954 s: top_add 0.000244 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_14 0.003716 s: add_top 0.000168 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_15 0.000140 s: multiplicative.linear_ordered_comm_monoid_with_zero._proof_16 0.021627 s: multiplicative.linear_ordered_comm_monoid_with_zero 0.000064 s: add_valuation 0.002499 s: valuation.to_fun 0.000325 s: add_valuation.has_coe_to_fun 0.000069 s: valuation.has_coe_to_fun 0.002369 s: valuation.map_add' 0.000754 s: valuation.map_add 0.004339 s: valuation.map_add_le 0.010479 s: add_valuation.map_le_add 0.003518 s: rbnode 0.000137 s: rbnode.color 0.000037 s: rbnode.color.cases_on 0.000338 s: rbnode.cases_on 0.000121 s: rbnode.mk_insert_result._main 0.000034 s: rbnode.mk_insert_result 0.000090 s: rbnode.get_color._main 0.000075 s: rbnode.get_color 0.000093 s: rbnode.below 0.001413 s: rbnode.brec_on 0.000072 s: rbnode.ins._match_1 0.000065 s: cmp_using 0.000055 s: rbnode.color.no_confusion_type 0.000187 s: rbnode.color.no_confusion 0.000031 s: rbnode.color.decidable_eq._proof_1 0.000023 s: rbnode.color.decidable_eq._proof_2 0.000135 s: rbnode.color.decidable_eq 0.000431 s: rbnode.balance1._main 0.000038 s: rbnode.balance1 0.000071 s: rbnode.balance1_node._main 0.000021 s: rbnode.balance1_node 0.000378 s: rbnode.balance2._main 0.000025 s: rbnode.balance2 0.000121 s: rbnode.balance2_node._main 0.000021 s: rbnode.balance2_node 0.000197 s: rbnode.ins._match_2 0.000900 s: rbnode.ins._main 0.000077 s: rbnode.ins 0.000096 s: rbnode.insert 0.000907 s: rbnode.well_formed 0.000161 s: rbtree 0.000044 s: rbmap_lt 0.000141 s: rbmap 0.000065 s: rbnode.find._match_1 0.000036 s: rbnode.find._match_2 0.000704 s: rbnode.find._main 0.000045 s: rbnode.find 0.000172 s: rbtree.find._main 0.000091 s: rbtree.find 0.000376 s: rbmap.rbmap_lt_dec 0.000358 s: rbmap.find_entry._match_1 0.000186 s: rbmap.find_entry 0.000116 s: rbmap.contains 0.000163 s: rbmap.contains.equations._eqn_1 0.000082 s: nat.prime 0.000124 s: int.decidable_dvd._proof_1 0.000123 s: int.decidable_dvd 0.000195 s: multiplicity.finite_def 0.002358 s: neg_dvd_of_dvd 0.000204 s: dvd_of_neg_dvd 0.000205 s: neg_dvd_iff_dvd 0.001522 s: int.nat_abs_dvd 0.000128 s: int.nat_abs_dvd_abs_iff 0.005577 s: int.nat_abs_pow 0.015406 s: multiplicity.finite_int_iff_nat_abs_finite 0.000198 s: multiplicity.finite.equations._eqn_1 0.003722 s: decidable.not_exists_not 0.000108 s: not_exists_not 0.001105 s: multiplicity.not_finite_iff_forall 0.001805 s: nat.le_zero_iff 0.000159 s: nat.decidable_ball_le._proof_1 0.000082 s: forall_prop_decidable._proof_1 0.000026 s: forall_prop_decidable._proof_2 0.000127 s: forall_prop_decidable 0.000278 s: nat.decidable_ball_lt._proof_1 0.000231 s: nat.lt_succ_of_lt 0.000167 s: nat.decidable_ball_lt._proof_2 0.000249 s: nat.decidable_ball_lt._match_1 0.002387 s: nat.decidable_ball_lt._proof_3 0.000099 s: nat.decidable_ball_lt._proof_4 0.000569 s: nat.decidable_ball_lt 0.000227 s: nat.decidable_ball_le 0.001166 s: nat.eq_one_of_dvd_one 0.005322 s: nat.units_eq_one 0.002799 s: nat.is_unit_iff 0.022979 s: multiplicity.finite_nat_iff 0.000206 s: int.nat_abs_eq_zero 0.000068 s: int.nat_abs_ne_zero 0.008690 s: multiplicity.finite_int_iff 0.001446 s: rat.zero_of_num_zero 0.000058 s: rat.num_ne_zero_of_ne_zero 0.000290 s: padic_val_rat._proof_1 0.000509 s: rat.denom_ne_zero 0.000475 s: padic_val_rat._proof_2 0.003371 s: padic_val_rat 0.000225 s: padic_norm 0.000207 s: padic_norm.equations._eqn_1 0.097938 s: fpow_nonneg 0.074843 s: padic_norm.nonneg 0.007772 s: fpow_ne_zero_of_ne_zero 0.000038 s: rat.add_monoid 0.000022 s: rat.linear_ordered_semiring 0.008092 s: nat.prime_def_lt 0.005344 s: nat.prime_def_lt' 0.002558 s: nat.decidable_lo_hi._proof_1 0.000186 s: nat.decidable_lo_hi 0.000050 s: nat.decidable_dvd._proof_1 0.000104 s: nat.decidable_dvd 0.000453 s: nat.decidable_prime_1 0.000327 s: nat.prime.ne_zero 0.026186 s: padic_norm.zero_of_padic_norm_eq_zero 0.005104 s: padic_norm.zero 0.000087 s: nat.prime.two_le 0.000454 s: nat.prime.one_lt 0.000620 s: rat.mk_ne_zero_of_ne_zero 0.005923 s: padic_val_rat.equations._eqn_1 0.000070 s: nat.prime.pos 0.001648 s: units.has_neg._proof_1 0.001191 s: units.has_neg._proof_2 0.000412 s: units.has_neg 0.004958 s: int.units_nat_abs 0.002606 s: int.units_eq_one_or 0.002178 s: int.is_unit_eq_one_or 0.001541 s: is_unit.neg 0.001775 s: int.is_unit_iff 0.002954 s: int.nat_abs_eq_nat_abs_iff 0.000207 s: int.nat_abs_eq_iff 0.002408 s: int.is_unit_iff_nat_abs_eq 0.000525 s: nat.prime.ne_one 0.001108 s: nat.prime.not_dvd_one 0.000083 s: nat.gcd_pos_of_pos_left 0.001071 s: nat.eq_zero_of_gcd_eq_zero_left 0.000078 s: nat.eq_zero_of_gcd_eq_zero_right 0.000883 s: nat.prime_two 0.002227 s: min_fac_aux._main._pack._wf_rec_mk_dec_tactic._aux_1 0.000846 s: _private.1493573281.min_fac_lemma 0.000412 s: nat.min_fac_aux._main._pack 0.000017 s: nat.min_fac_aux._main 0.000025 s: nat.min_fac_aux 0.000190 s: nat.min_fac._main 0.000025 s: nat.min_fac 0.000044 s: _private.3044241109.min_fac_prop 0.000142 s: nat.min_fac_zero 0.000071 s: _private.3044241109.min_fac_prop.equations._eqn_1 0.000049 s: nat.min_fac_one 0.001769 s: nat.dvd_one 0.001006 s: nat.min_fac_aux._main._pack.equations._eqn_1 0.000181 s: nat.min_fac_aux._main.equations._eqn_1 0.000153 s: nat.min_fac_aux.equations._eqn_1 0.000857 s: nat.min_fac._main.equations._eqn_3 0.000115 s: nat.min_fac.equations._eqn_3 0.005759 s: nat.min_fac_eq 0.002836 s: nat.dvd_prime 0.000876 s: nat.dvd_prime_two_le 0.002338 s: nat.sqrt_lt_self 0.010465 s: nat.prime_def_le_sqrt 0.001386 s: dvd_of_mul_right_dvd 0.014803 s: nat.min_fac_aux_has_prop 0.014486 s: nat.min_fac_has_prop 0.004659 s: nat.min_fac_prime 0.002143 s: nat.min_fac_dvd 0.001129 s: nat.exists_prime_and_dvd 0.006007 s: nat.coprime_of_dvd 0.000056 s: nat.prime_dvd_prime_iff_eq 0.003196 s: nat.prime.coprime_iff_not_dvd 0.001607 s: nat.prime.dvd_mul 0.002570 s: nat.one_lt_iff_ne_zero_and_ne_one 0.023887 s: nat.prime_iff_prime 0.000294 s: prime.not_unit 0.001568 s: not_prime_one 0.024929 s: nat.prime_iff_prime_int 0.006438 s: rat.num_dvd 0.005107 s: int.eq_mul_div_of_mul_eq_mul_of_dvd_left 0.001039 s: rat.num_denom_mk 0.000528 s: rat.mk_denom_ne_zero_of_ne_zero 0.000313 s: rat.mk_num_ne_zero_of_ne_zero 0.081923 s: padic_val_rat.defn 0.008126 s: enat.get_le_get 0.004677 s: multiplicity.le_multiplicity_of_pow_dvd 0.000293 s: multiplicity.finite_iff_dom 0.000412 s: multiplicity.eq_top_iff_not_finite 0.002017 s: multiplicity.multiplicity_le_multiplicity_iff 0.001564 s: padic_val_rat.finite_int_prime_iff 0.157984 s: padic_val_rat.padic_val_rat_le_padic_val_rat_iff 0.022678 s: multiplicity.mul 0.006675 s: multiplicity.min_le_multiplicity_add 0.001625 s: rat.add_num_denom 0.109641 s: padic_val_rat.le_padic_val_rat_add_of_le 0.013172 s: padic_val_rat.min_le_padic_val_rat_add 0.071849 s: _private.3619901659.nonarchimedean_aux 0.000062 s: rat.semilattice_sup 0.016638 s: padic_norm.nonarchimedean 0.013967 s: max_le_add_of_nonneg 0.028579 s: padic_norm.triangle_ineq 0.000029 s: rat.comm_monoid 0.000030 s: rat.comm_semigroup 0.003074 s: rat.mul_num_denom 0.135571 s: padic_val_rat.mul 0.137527 s: padic_norm.mul 0.027769 s: padic_norm.is_absolute_value 0.101966 s: padic 0.014311 s: semiconj_by.units_inv_symm_left 0.001521 s: semiconj_by.units_inv_symm_left_iff 0.005551 s: semiconj_by.inv_symm_left_iff' 0.000156 s: commute.inv_left_iff' 0.000116 s: commute.inv_left' 0.020801 s: rat.cast_inj 0.000314 s: rat.cast_injective 0.055986 s: rat.metric_space._proof_1 0.000076 s: rat.metric_space 0.002931 s: rat.dist_eq 0.123941 s: rat.normed_field._proof_1 0.159086 s: rat.normed_field._proof_2 0.000183 s: rat.normed_field 0.000088 s: padic_seq 0.000093 s: rat.num_neg_eq_neg_num 0.000267 s: enat.find.equations._eqn_1 0.026902 s: multiplicity.neg 0.000105 s: rat.denom_neg_eq_denom 0.015555 s: padic_val_rat.neg 0.005246 s: padic_norm.neg 0.000219 s: max_eq_right_of_lt 0.000058 s: rat.comm_semiring 0.063537 s: padic_norm.add_eq_max_of_ne 0.010174 s: cau_seq.not_lim_zero_of_not_congr_zero 0.104607 s: padic_seq.stationary 0.078920 s: padic_seq.stationary_point 0.073736 s: padic_seq.norm 0.073068 s: padic_seq.norm.equations._eqn_1 0.077662 s: padic_seq.stationary_point_spec 0.076844 s: padic_seq.lift_index_left 0.076532 s: padic_seq.lift_index_right 0.170734 s: _private.78461815.norm_eq_of_equiv_aux 0.084148 s: _private.973558253.norm_eq_of_equiv 0.074065 s: padic_seq.norm_equiv 0.108821 s: padic_norm_e 0.000120 s: padic.has_norm 0.000098 s: padic_int 0.124166 s: cau_seq.completion.field._proof_1 0.120147 s: cau_seq.completion.field._proof_2 0.118822 s: cau_seq.completion.field._proof_3 0.122736 s: cau_seq.completion.field._proof_4 0.115144 s: cau_seq.completion.field._proof_5 0.114854 s: cau_seq.completion.field._proof_6 0.114967 s: cau_seq.completion.field._proof_7 0.114936 s: cau_seq.completion.field._proof_8 0.115918 s: cau_seq.completion.field._proof_9 0.119322 s: cau_seq.completion.field._proof_10 0.121453 s: cau_seq.completion.field._proof_11 0.119256 s: cau_seq.completion.field._proof_12 0.114815 s: cau_seq.completion.field._proof_13 0.118832 s: cau_seq.completion.field._proof_14 0.114928 s: cau_seq.completion.field._proof_15 0.113285 s: cau_seq.completion.field._proof_16 0.116419 s: cau_seq.completion.field._proof_17 0.116919 s: cau_seq.completion.field._proof_18 0.119284 s: cau_seq.completion.field._proof_19 0.120672 s: cau_seq.completion.field._proof_20 0.115229 s: cau_seq.completion.field._proof_21 0.113381 s: cau_seq.completion.field._proof_22 0.015542 s: cau_seq.completion.cau_seq_zero_ne_one 0.116122 s: cau_seq.completion.zero_ne_one 0.117454 s: cau_seq.completion.field._proof_23 0.122684 s: cau_seq.completion.field._proof_24 0.129307 s: cau_seq.completion.field 0.104473 s: padic.field 0.000084 s: padic.has_add 0.086980 s: rat.cast_max 0.078738 s: padic_seq.norm_nonneg 0.084585 s: padic_seq.norm_zero_iff 0.078526 s: padic_seq.lift_index_left_left 0.076882 s: _private.3589582725.norm_nonarchimedean_aux 0.088670 s: padic_seq.norm_nonarchimedean 0.171048 s: padic_norm_e.nonarchimedean' 0.046032 s: padic_norm_e.nonarchimedean 0.004613 s: padic_int.has_add._match_1 0.000211 s: padic_int.has_add._match_2 0.000065 s: padic_int.has_add 0.000114 s: padic_int.padic.has_coe 0.004919 s: padic_int.coe_add 0.000129 s: padic.comm_ring 0.000238 s: padic.has_one 0.000097 s: padic.has_zero 0.000092 s: padic.add_comm_group 0.027464 s: padic_int.ring._proof_1 0.000091 s: padic.has_sub 0.000162 s: padic.has_dist 0.104670 s: padic_norm_e.zero_def 0.165173 s: padic_norm_e.zero_iff 0.000290 s: padic_norm_e.zero 0.024811 s: padic.metric_space._proof_1 0.000071 s: padic.has_neg 0.063724 s: padic_seq.equiv_zero_of_val_eq_of_equiv_zero 0.079809 s: padic_seq.norm_eq 0.075522 s: padic_seq.norm_neg 0.168436 s: padic_norm_e.neg 0.079704 s: padic.metric_space._proof_2 0.170865 s: padic_norm_e.nonneg 0.050421 s: padic_norm_e.triangle_ineq 0.075214 s: padic.metric_space._proof_3 0.000200 s: padic.metric_space._proof_4 0.019401 s: padic.metric_space._proof_5 0.062929 s: padic.metric_space._proof_6 0.078691 s: padic.metric_space._proof_7 0.094707 s: padic.metric_space._proof_8 0.117433 s: padic.metric_space._proof_9 0.029840 s: padic.metric_space 0.000095 s: padic.normed_field._proof_1 0.000068 s: padic.has_mul 0.003582 s: cau_seq.mul_equiv_zero 0.001957 s: cau_seq.mul_equiv_zero' 0.083350 s: cau_seq.mul_not_equiv_zero 0.149865 s: padic_seq.norm_mul 0.173498 s: padic_norm_e.mul' 0.016112 s: rat.cast_eq_zero 0.127684 s: padic.normed_field._proof_2 0.000717 s: padic.normed_field 0.091758 s: padic_int.has_zero._proof_1 0.000186 s: padic_int.has_zero 0.001852 s: padic_int.coe_zero 0.014184 s: padic_int.ring._proof_2 0.004601 s: padic_int.ring._proof_3 0.007680 s: padic_int.ring._proof_4 0.010756 s: padic_int.ring._proof_5 0.036489 s: padic_int.has_neg._match_1 0.000091 s: padic_int.has_neg 0.040654 s: padic_int.has_sub._match_1 0.000260 s: padic_int.has_sub._match_2 0.000048 s: padic_int.has_sub 0.009994 s: padic_int.coe_sub 0.005668 s: padic_int.coe_neg 0.110344 s: padic_int.ring._proof_6 0.178184 s: padic_int.ring._proof_7 0.078221 s: padic_int.ring._proof_8 0.135239 s: padic_norm_e.mul 0.021714 s: padic_int.has_mul._match_1 0.000166 s: padic_int.has_mul._match_2 0.000104 s: padic_int.has_mul 0.004893 s: padic_int.coe_mul 0.055749 s: padic_int.ring._proof_9 0.036458 s: padic_int.has_one._proof_1 0.000147 s: padic_int.has_one 0.002360 s: padic_int.coe_one 0.038383 s: padic_int.ring._proof_10 0.035301 s: padic_int.ring._proof_11 0.066060 s: padic_int.ring._proof_12 0.072228 s: padic_int.ring._proof_13 0.068956 s: padic_int.ring._proof_14 0.068083 s: padic_int.ring._proof_15 0.017282 s: padic_int.ring 0.000154 s: padic_int.has_norm 0.007457 s: polynomial.derivative 0.000108 s: padic.has_div 0.001749 s: _private.2628919033.T 0.001048 s: _private.490510495.ih 0.000234 s: padic_int.coe.ring_hom._proof_1 0.000145 s: padic_int.coe.ring_hom._proof_2 0.011775 s: padic_int.coe.ring_hom 0.010706 s: padic_int.coe_pow 0.002734 s: padic_int.norm_def 0.032444 s: 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_private.836590621.poly_binom_aux1._proof_1 0.002500 s: _private.836590621.poly_binom_aux1 0.011308 s: _private.4124296027.poly_binom_aux2 0.007935 s: _private.3023778131.poly_binom_aux3 0.000532 s: polynomial.eval_eq_sum 0.007215 s: polynomial.derivative.equations._eqn_1 0.000670 s: polynomial.C_eq_nat_cast 0.011537 s: polynomial.derivative_apply 0.003744 s: ring_hom.is_add_monoid_hom 0.000324 s: is_add_monoid_hom.map_add 0.012608 s: polynomial.eval₂_sum 0.000503 s: polynomial.eval_sum 0.003837 s: polynomial.derivative_eval 0.023370 s: polynomial.binom_expansion._proof_1 0.005034 s: polynomial.binom_expansion 0.003969 s: _private.445287609.deriv_norm_ne_zero 0.005394 s: _private.3499387053.calc_eval_z'._proof_1 0.016132 s: _private.3499387053.calc_eval_z' 0.071990 s: padic_seq.norm_eq_of_add_equiv_zero 0.079264 s: padic_seq.add_eq_max_of_ne 0.170123 s: padic_norm_e.add_eq_max_of_ne' 0.097244 s: padic_norm_e.add_eq_max_of_ne 0.019831 s: padic_int.norm_add_eq_max_of_ne 0.002117 s: padic_int.norm_eq_of_norm_add_lt_right 0.003403 s: tactic.ring_exp.add_pf_sum_overlap_zero 0.001604 s: tactic.ring_exp.add_overlap_pf_zero 0.049096 s: polynomial.pow_sub_pow_factor._main 0.000330 s: polynomial.pow_sub_pow_factor 0.000294 s: neg.is_add_group_hom 0.010972 s: finset.sum_neg_distrib 0.003418 s: finset.sum_sub_distrib 0.000727 s: finsupp.sum_sub 0.016131 s: polynomial.eval_sub_factor._proof_1 0.002216 s: polynomial.eval_sub_factor 0.026775 s: padic_polynomial_dist 0.003790 s: add_add_neg_cancel'_right 0.002389 s: _private.1608699331.deriv_norm_pos 0.004189 s: div_lt_one 0.010821 s: _private.139013675.T_lt_one 0.017396 s: _private.1124323785.T_pow 0.087554 s: _private.2244356431.calc_deriv_dist 0.021676 s: _private.3940601187.ih_n._proof_1 0.012376 s: _private.2026162011.T_pow_nonneg 0.014144 s: _private.3667137893.T_pow' 0.066197 s: _private.1849792777.calc_norm_le_one 0.010092 s: _private.3940601187.ih_n 0.003963 s: _private.4025450023.newton_seq_aux._main 0.000782 s: 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quotient.induction_on₂' 0.000471 s: filter.germ.induction_on₂ 0.000162 s: filter.eventually_eq.germ_eq 0.000357 s: filter.eventually_le.antisymm 0.001470 s: filter.germ.partial_order._proof_4 0.000690 s: filter.germ.partial_order 0.000115 s: filter.germ.semilattice_sup._proof_1 0.000132 s: filter.germ.semilattice_sup._proof_2 0.000239 s: filter.germ.semilattice_sup._proof_3 0.000256 s: filter.germ.semilattice_sup._proof_4 0.001546 s: filter.germ.semilattice_sup._proof_5 0.001264 s: filter.germ.semilattice_sup._proof_6 0.002479 s: filter.germ.semilattice_sup._proof_7 0.001318 s: filter.germ.semilattice_sup 0.000576 s: filter.germ.semilattice_sup_top._proof_8 0.064048 s: has_strict_deriv_at.sin 0.000066 s: category_theory.bundled_hom.map_hom 0.000246 s: category_theory.bundled_hom.parent_projection 0.008825 s: category_theory.bundled_hom.map._proof_1 0.002393 s: category_theory.bundled_hom.map._proof_2 0.001181 s: category_theory.bundled_hom.map._proof_3 0.001172 s: category_theory.bundled_hom.map 0.000264 s: category_theory.bundled_hom.bundled_hom_of_parent_projection 0.000105 s: SemiRing.bundled_hom._proof_1 0.000202 s: SemiRing.bundled_hom._proof_2 0.001810 s: SemiRing.bundled_hom 0.000058 s: Ring.ring.to_semiring.category_theory.bundled_hom.parent_projection 0.000063 s: CommRing.comm_ring.to_ring.category_theory.bundled_hom.parent_projection 0.000254 s: CommRing.large_category 0.000243 s: CommRing.concrete_category 0.000549 s: TopCommRing.forget_comm_ring 0.000253 s: TopCommRing.has_forget_to_CommRing._proof_1 0.002071 s: TopCommRing.has_forget_to_CommRing._proof_2 0.004525 s: TopCommRing.has_forget_to_CommRing 0.000314 s: equiv.equiv_subsingleton_cod 0.000071 s: equiv.perm_subsingleton 0.000077 s: equiv.perm.subsingleton_eq_refl 0.000429 s: equiv.perm.coe_subsingleton 0.000627 s: measurable_equiv.prod_comm._proof_1 0.000453 s: measurable_equiv.prod_comm._proof_2 0.000513 s: measurable_equiv.prod_comm 0.000447 s: measurable_equiv.cases_on 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opposite.add_monoid._proof_6 0.000461 s: opposite.add_monoid._proof_7 0.002298 s: opposite.add_monoid 0.000084 s: opposite.add_comm_monoid._proof_1 0.000067 s: opposite.add_comm_monoid._proof_2 0.000061 s: opposite.add_comm_monoid._proof_3 0.000345 s: opposite.add_comm_monoid._proof_4 0.000195 s: opposite.add_comm_monoid._proof_5 0.000091 s: opposite.add_comm_semigroup._proof_1 0.000401 s: opposite.add_comm_semigroup._proof_2 0.000160 s: opposite.add_comm_semigroup 0.000136 s: opposite.add_comm_monoid._proof_6 0.001102 s: opposite.add_comm_monoid 0.000091 s: opposite.semiring._proof_1 0.000077 s: opposite.semiring._proof_2 0.000068 s: opposite.semiring._proof_3 0.000317 s: opposite.semiring._proof_4 0.000207 s: opposite.semiring._proof_5 0.000096 s: opposite.semiring._proof_6 0.000044 s: opposite.has_mul 0.000532 s: opposite.semigroup._proof_1 0.000068 s: opposite.semigroup 0.000077 s: opposite.monoid._proof_1 0.000031 s: opposite.has_one 0.000289 s: opposite.mul_one_class._proof_1 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opposite.monoid_with_zero._proof_7 0.001328 s: opposite.monoid_with_zero 0.000140 s: opposite.semiring._proof_7 0.000073 s: opposite.semiring._proof_8 0.000098 s: opposite.semiring._proof_9 0.000245 s: opposite.semiring._proof_10 0.000187 s: opposite.semiring._proof_11 0.000103 s: opposite.semiring._proof_12 0.000100 s: opposite.semiring._proof_13 0.000695 s: opposite.distrib._proof_1 0.000569 s: opposite.distrib._proof_2 0.000141 s: opposite.distrib 0.000106 s: opposite.semiring._proof_14 0.000089 s: opposite.semiring._proof_15 0.004292 s: opposite.semiring 0.000140 s: quaternion_algebra.has_coe_t 0.000191 s: quaternion_algebra.algebra._proof_1 0.000479 s: quaternion_algebra.coe_re 0.001673 s: quaternion_algebra.coe_im_i 0.001080 s: quaternion_algebra.coe_im_j 0.001008 s: quaternion_algebra.coe_im_k 0.009074 s: quaternion_algebra.algebra._proof_2 0.000212 s: quaternion_algebra.algebra._proof_3 0.009029 s: quaternion_algebra.algebra._proof_4 0.047917 s: quaternion_algebra.algebra._proof_5 0.074971 s: quaternion_algebra.algebra._proof_6 0.052135 s: quaternion_algebra.algebra 0.000189 s: opposite.has_scalar 0.000330 s: add_equiv.symm._proof_1 0.000259 s: add_equiv.symm._proof_2 0.000902 s: add_hom 0.000291 s: add_hom.to_fun 0.000165 s: add_hom.has_coe_to_fun 0.000646 s: add_hom.map_add' 0.000710 s: add_hom.map_add 0.006612 s: add_hom.inverse._proof_1 0.001825 s: add_hom.inverse 0.000807 s: add_equiv.map_add' 0.000313 s: add_equiv.to_add_hom 0.002959 s: add_equiv.symm._proof_3 0.001606 s: add_equiv.symm 0.001877 s: add_equiv.apply_symm_apply 0.000881 s: add_equiv.map_add 0.001726 s: add_equiv.map_zero 0.000401 s: add_equiv.to_add_monoid_hom._proof_1 0.000765 s: add_equiv.to_add_monoid_hom 0.000161 s: opposite.unop_op 0.000172 s: opposite.op_unop 0.000347 s: opposite.equiv_to_opposite 0.000155 s: opposite.op_add_equiv._proof_1 0.000338 s: opposite.op_add_equiv._proof_2 0.000207 s: opposite.op_add_equiv._proof_3 0.000856 s: 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quaternion_algebra.smul_im_j 0.001608 s: quaternion_algebra.smul_im_k 0.032116 s: quaternion_algebra.conj._proof_2 0.000369 s: quaternion_algebra.mk.eta 0.061306 s: quaternion_algebra.conj._proof_3 0.033718 s: quaternion_algebra.conj 0.000302 s: add_equiv.trans._proof_1 0.000250 s: add_equiv.trans._proof_2 0.003344 s: add_equiv.trans._proof_3 0.003931 s: add_equiv.trans 0.022824 s: quaternion_algebra.conj_alg_equiv._proof_1 0.024676 s: quaternion_algebra.conj_alg_equiv._proof_2 0.026049 s: quaternion_algebra.re_conj 0.030259 s: quaternion_algebra.im_i_conj 0.029137 s: quaternion_algebra.im_j_conj 0.026004 s: quaternion_algebra.im_k_conj 0.060920 s: quaternion_algebra.conj_mul 0.031186 s: quaternion_algebra.conj_alg_equiv._proof_3 0.027505 s: quaternion_algebra.conj_alg_equiv._proof_4 0.001057 s: quaternion_algebra.coe_algebra_map 0.026161 s: quaternion_algebra.conj_coe 0.002298 s: opposite.algebra_map_apply 0.000091 s: opposite.op_inj_iff 0.000385 s: quaternion_algebra.coe_injective 0.000169 s: quaternion_algebra.coe_inj 0.031566 s: quaternion_algebra.conj_alg_equiv._proof_5 0.018950 s: quaternion_algebra.conj_alg_equiv 0.013661 s: quaternion_algebra.coe_conj_alg_equiv 0.000176 s: pgame.cases_on 0.000074 s: pgame.left_moves._main 0.000120 s: pgame.left_moves._main.equations._eqn_1 0.000756 s: prod.lattice._proof_6 0.000946 s: equiv.trans_apply 0.001045 s: equiv.perm.mul_apply 0.000641 s: equiv.perm.apply_inv_self 0.000535 s: equiv.perm.eq_inv_iff_eq 0.005166 s: equiv.swap_mul_eq_mul_swap 0.000052 s: nonunits 0.000336 s: local_ring.is_local 0.000576 s: local_ring.is_unit_one_sub_self_of_mem_nonunits 0.001563 s: monoid_hom.cod_mrestrict._proof_1 0.001259 s: monoid_hom.cod_mrestrict._proof_2 0.000798 s: monoid_hom.cod_mrestrict 0.000993 s: monoid_hom.cod_mrestrict.equations._eqn_1 0.002478 s: category_theory.iso 0.000699 s: category_theory.iso.hom 0.013404 s: category_theory.monoidal_category 0.002176 s: category_theory.monoidal_category.tensor_obj 0.000425 s: category_theory.iso.inv 0.002632 s: category_theory.monoidal_category.associator 0.002445 s: category_theory.monoidal_category.tensor_hom 0.004063 s: category_theory.half_braiding 0.000049 s: category_theory.center 0.001017 s: category_theory.half_braiding.β 0.003220 s: category_theory.center.hom 0.002542 s: category_theory.monoidal_category.tensor_id 0.002089 s: category_theory.center.category_theory.category._proof_1 0.000859 s: category_theory.center.hom.f 0.003746 s: category_theory.monoidal_category.tensor_comp 0.001375 s: category_theory.monoidal_category.comp_tensor_id 0.002220 s: category_theory.center.hom.comm 0.001571 s: category_theory.center.hom.comm_assoc 0.001704 s: category_theory.monoidal_category.id_tensor_comp 0.000950 s: category_theory.epi 0.000490 s: category_theory.epi.left_cancellation 0.000596 s: category_theory.cancel_epi 0.001123 s: category_theory.is_iso 0.000439 s: category_theory.is_iso.out 0.000361 s: category_theory.inv 0.000696 s: category_theory.is_iso.inv_hom_id 0.000926 s: category_theory.is_iso.inv_hom_id_assoc 0.000621 s: category_theory.is_iso.epi_of_iso 0.000717 s: category_theory.iso.hom_inv_id 0.000463 s: category_theory.iso.inv_hom_id 0.000925 s: category_theory.is_iso.of_iso 0.000674 s: category_theory.iso.cancel_iso_hom_left 0.005781 s: category_theory.center.category_theory.category._proof_2 0.001899 s: category_theory.center.hom.cases_on 0.002559 s: category_theory.center.hom.ext 0.041191 s: category_theory.center.category_theory.category._proof_3 0.043858 s: category_theory.center.category_theory.category._proof_4 0.005174 s: category_theory.center.hom.no_confusion_type 0.002172 s: category_theory.center.hom.no_confusion 0.003377 s: category_theory.center.hom.mk.inj 0.002941 s: category_theory.center.hom.mk.inj_eq 0.055733 s: category_theory.center.category_theory.category._proof_5 0.021738 s: category_theory.center.category_theory.category 0.003826 s: category_theory.iso.hom_inv_id_assoc 0.001053 s: category_theory.iso.trans._proof_1 0.000729 s: category_theory.iso.inv_hom_id_assoc 0.000923 s: category_theory.iso.trans._proof_2 0.000360 s: category_theory.iso.trans 0.000985 s: category_theory.tensor_iso._proof_1 0.001056 s: category_theory.tensor_iso._proof_2 0.000608 s: category_theory.tensor_iso 0.000360 s: category_theory.iso.refl._proof_1 0.000340 s: category_theory.iso.refl._proof_2 0.000147 s: category_theory.iso.refl 0.000714 s: category_theory.iso.inv_hom_id' 0.000432 s: category_theory.iso.hom_inv_id' 0.000185 s: category_theory.iso.symm 0.002388 s: category_theory.half_braiding.monoidal 0.004820 s: category_theory.monoidal_category.pentagon 0.001677 s: category_theory.monoidal_category.pentagon_assoc 0.000281 s: category_theory.is_iso.of_iso_inv 0.000578 s: category_theory.is_iso.hom_inv_id 0.000271 s: category_theory.as_iso 0.000261 s: category_theory.is_iso.inv_is_iso 0.000570 s: category_theory.eq_of_inv_eq_inv 0.000478 s: category_theory.is_iso.comp_is_iso 0.001189 s: category_theory.monoidal_category.tensor_is_iso 0.000814 s: category_theory.is_iso.id 0.001020 s: category_theory.is_iso.inv_eq_of_hom_inv_id 0.001112 s: category_theory.is_iso.hom_inv_id_assoc 0.001387 s: category_theory.is_iso.inv_comp 0.001449 s: category_theory.monoidal_category.inv_tensor 0.000592 s: category_theory.is_iso.iso.inv_inv 0.000380 s: category_theory.is_iso.inv_id 0.000954 s: category_theory.mono 0.000329 s: category_theory.mono.right_cancellation 0.000333 s: category_theory.cancel_mono 0.000806 s: category_theory.is_iso.mono_of_iso 0.000440 s: category_theory.iso.cancel_iso_hom_right 0.003071 s: category_theory.monoidal_category.pentagon_inv 0.001611 s: category_theory.monoidal_category.pentagon_inv_assoc 0.001233 s: category_theory.iso.inv_comp_eq 0.000700 s: category_theory.iso.eq_inv_comp 0.000990 s: category_theory.monoidal_category.id_tensor_comp_assoc 0.003957 s: category_theory.monoidal_category.associator_naturality 0.001235 s: category_theory.monoidal_category.associator_naturality_assoc 0.001399 s: category_theory.iso.comp_inv_eq 0.001672 s: category_theory.monoidal_category.associator_inv_naturality 0.001332 s: category_theory.monoidal_category.associator_inv_naturality_assoc 0.001311 s: category_theory.monoidal_category.id_tensor_comp_tensor_id 0.001073 s: category_theory.monoidal_category.id_tensor_comp_tensor_id_assoc 0.001254 s: category_theory.monoidal_category.tensor_id_comp_id_tensor 0.000920 s: category_theory.monoidal_category.tensor_id_comp_id_tensor_assoc 0.000561 s: category_theory.is_iso.inv_comp_eq 0.000453 s: category_theory.is_iso.iso.inv_hom 0.000846 s: category_theory.monoidal_category.comp_tensor_id_assoc 0.039199 s: category_theory.center.tensor_obj._proof_1 0.001762 s: category_theory.monoidal_category.id_tensor_associator_naturality 0.001781 s: category_theory.monoidal_category.id_tensor_associator_naturality_assoc 0.002404 s: category_theory.half_braiding.naturality 0.008695 s: category_theory.center.tensor_obj._proof_2 0.002510 s: category_theory.center.tensor_obj 0.001362 s: category_theory.monoidal_category.id_tensor_associator_inv_naturality 0.001185 s: category_theory.monoidal_category.id_tensor_associator_inv_naturality_assoc 0.015281 s: category_theory.center.tensor_hom._proof_1 0.002720 s: category_theory.center.tensor_hom 0.002675 s: category_theory.center.category_theory.monoidal_category._proof_1 0.007635 s: category_theory.center.category_theory.monoidal_category._proof_2 0.002157 s: category_theory.monoidal_category.tensor_unit 0.002224 s: category_theory.monoidal_category.left_unitor 0.001991 s: category_theory.monoidal_category.right_unitor 0.000428 s: category_theory.iso.trans_hom 0.002853 s: category_theory.monoidal_category.left_unitor_naturality 0.001355 s: category_theory.monoidal_category.tensor_left_iff 0.003498 s: category_theory.monoidal_category.triangle 0.002852 s: category_theory.monoidal_category.left_unitor_tensor' 0.001065 s: category_theory.monoidal_category.left_unitor_tensor 0.000490 s: category_theory.iso.symm_hom 0.003521 s: category_theory.monoidal_category.right_unitor_naturality 0.001533 s: category_theory.monoidal_category.tensor_right_iff 0.001139 s: category_theory.monoidal_category.triangle_assoc 0.002834 s: category_theory.monoidal_category.right_unitor_tensor 0.002036 s: category_theory.monoidal_category.right_unitor_tensor_inv 0.000982 s: category_theory.monoidal_category.inv_hom_id_tensor 0.001083 s: category_theory.monoidal_category.inv_hom_id_tensor_assoc 0.001026 s: category_theory.iso.cancel_iso_inv_right_assoc 0.000458 s: category_theory.iso.cancel_iso_inv_left 0.005186 s: category_theory.center.tensor_unit._proof_1 0.001239 s: category_theory.monoidal_category.left_unitor_naturality_assoc 0.001475 s: category_theory.monoidal_category.right_unitor_inv_naturality 0.003264 s: category_theory.center.tensor_unit._proof_2 0.001846 s: category_theory.center.tensor_unit 0.004067 s: category_theory.center.iso_mk._proof_1 0.009118 s: category_theory.center.iso_mk._proof_2 0.010707 s: category_theory.center.iso_mk._proof_3 0.004606 s: category_theory.center.iso_mk 0.031508 s: category_theory.center.associator._proof_1 0.002509 s: category_theory.center.associator._proof_2 0.001923 s: category_theory.center.associator 0.020797 s: category_theory.center.category_theory.monoidal_category._proof_3 0.000676 s: category_theory.monoidal_category.triangle_assoc_comp_left 0.003727 s: category_theory.monoidal_category.triangle_assoc_comp_right_inv 0.001088 s: category_theory.monoidal_category.tensor_inv_hom_id 0.001224 s: category_theory.monoidal_category.left_unitor_tensor'_assoc 0.008764 s: category_theory.center.left_unitor._proof_1 0.001646 s: category_theory.center.left_unitor._proof_2 0.001548 s: category_theory.center.left_unitor 0.010381 s: category_theory.center.category_theory.monoidal_category._proof_4 0.001993 s: category_theory.monoidal_category.right_unitor_tensor_inv_assoc 0.001134 s: category_theory.monoidal_category.right_unitor_inv_naturality_assoc 0.011882 s: category_theory.center.right_unitor._proof_1 0.001598 s: category_theory.center.right_unitor._proof_2 0.001438 s: category_theory.center.right_unitor 0.008110 s: category_theory.center.category_theory.monoidal_category._proof_5 0.029748 s: category_theory.center.category_theory.monoidal_category._proof_6 0.013101 s: category_theory.center.category_theory.monoidal_category._proof_7 0.003801 s: category_theory.center.category_theory.monoidal_category 0.003268 s: category_theory.center.tensor_f 0.005798 s: multilinear_map.dom_coprod'._proof_4 0.003602 s: alg_hom 0.002187 s: subalgebra 0.000882 s: subsemiring.mk'._proof_1 0.001454 s: subsemiring.mk'._proof_2 0.000626 s: subsemiring.mk'._proof_3 0.001221 s: subsemiring.mk'._proof_4 0.000758 s: subsemiring.mk' 0.000629 s: subsemiring.cases_on 0.001980 s: subsemiring.set_like._proof_1 0.000136 s: subsemiring.set_like 0.000971 s: submonoid.has_Inf._proof_1 0.001455 s: submonoid.has_Inf._proof_2 0.000362 s: submonoid.has_Inf 0.001092 s: submonoid.coe_Inf 0.000705 s: submonoid.coe_infi 0.000577 s: subsemiring.coe_to_submonoid 0.001292 s: subsemiring.has_Inf._proof_1 0.000598 s: subsemiring.zero_mem' 0.000454 s: subsemiring.add_mem' 0.000262 s: subsemiring.to_add_submonoid 0.001503 s: add_submonoid.coe_Inf 0.000753 s: add_submonoid.coe_infi 0.000553 s: subsemiring.coe_to_add_submonoid 0.001377 s: subsemiring.has_Inf._proof_2 0.000670 s: subsemiring.has_Inf 0.000093 s: subsemiring.closure 0.000364 s: algebra.adjoin._proof_1 0.000405 s: algebra.adjoin._proof_2 0.000273 s: algebra.adjoin._proof_3 0.000381 s: algebra.adjoin._proof_4 0.002325 s: subsemiring.mem_Inf 0.000350 s: subsemiring.mem_closure 0.001542 s: subsemiring.subset_closure 0.000654 s: algebra.adjoin._proof_5 0.001872 s: algebra.adjoin 0.000130 s: subalgebra.fg 0.000521 s: subalgebra.carrier 0.000896 s: subalgebra.cases_on 0.002076 s: subalgebra.set_like._proof_1 0.000185 s: subalgebra.set_like 0.000558 s: subalgebra.one_mem' 0.000891 s: subalgebra.mul_mem' 0.000739 s: subalgebra.zero_mem' 0.001000 s: subalgebra.add_mem' 0.000898 s: subalgebra.to_subsemiring 0.004409 s: subsemiring.complete_lattice._proof_1 0.003844 s: subsemiring.complete_lattice._proof_2 0.003980 s: subsemiring.complete_lattice._proof_3 0.004677 s: subsemiring.complete_lattice._proof_4 0.004211 s: subsemiring.complete_lattice._proof_5 0.003780 s: subsemiring.complete_lattice._proof_6 0.005610 s: subsemiring.complete_lattice._proof_7 0.005442 s: subsemiring.complete_lattice._proof_8 0.000864 s: submonoid.has_inf._proof_1 0.001668 s: submonoid.has_inf._match_1 0.000682 s: submonoid.has_inf._match_2 0.000359 s: submonoid.has_inf._proof_2 0.000293 s: submonoid.has_inf 0.000332 s: subsemiring.has_inf._proof_1 0.000207 s: subsemiring.has_inf._proof_2 0.000197 s: subsemiring.has_inf._proof_3 0.000320 s: subsemiring.has_inf._proof_4 0.001698 s: subsemiring.has_inf 0.000203 s: subsemiring.complete_lattice._proof_9 0.000137 s: subsemiring.complete_lattice._proof_10 0.007054 s: subsemiring.complete_lattice._proof_11 0.000132 s: subsemiring.has_top._proof_1 0.000162 s: subsemiring.has_top._proof_2 0.000144 s: subsemiring.has_top._proof_3 0.000150 s: subsemiring.has_top._proof_4 0.000560 s: subsemiring.has_top 0.000089 s: subsemiring.complete_lattice._proof_12 0.000555 s: submonoid.copy._proof_1 0.000507 s: submonoid.copy._proof_2 0.000192 s: submonoid.copy 0.001354 s: subsemiring.copy._proof_1 0.000840 s: subsemiring.copy._proof_2 0.000424 s: add_submonoid.copy._proof_1 0.000512 s: add_submonoid.copy._proof_2 0.000298 s: add_submonoid.copy 0.000891 s: subsemiring.copy._proof_3 0.000862 s: subsemiring.copy._proof_4 0.000640 s: subsemiring.copy 0.000508 s: subsemiring.map._proof_1 0.000544 s: subsemiring.map._proof_2 0.000430 s: subsemiring.map._proof_3 0.000438 s: subsemiring.map._proof_4 0.003023 s: subsemiring.map 0.000205 s: ring_hom.srange._proof_1 0.000794 s: ring_hom.srange 0.000076 s: subsemiring.has_bot 0.001317 s: add_submonoid.nsmul_mem 0.000696 s: subsemiring.nsmul_mem 0.000318 s: subsemiring.one_mem 0.001962 s: subsemiring.coe_nat_mem 0.000412 s: subsemiring.complete_lattice._match_1 0.000666 s: ring_hom.mem_srange 0.000601 s: subsemiring.mem_bot 0.000325 s: subsemiring.complete_lattice._proof_13 0.005444 s: subsemiring.complete_lattice._proof_14 0.007225 s: subsemiring.complete_lattice._proof_15 0.004750 s: subsemiring.complete_lattice._proof_16 0.006123 s: subsemiring.complete_lattice._proof_17 0.012122 s: subsemiring.complete_lattice 0.010313 s: subsemiring.closure_le 0.001650 s: subalgebra.algebra_map_mem' 0.000996 s: subalgebra.algebra_map_mem 0.002371 s: subalgebra.range_subset 0.009583 s: algebra.gc 0.001025 s: algebra.gi._proof_1 0.000322 s: algebra.gi._proof_2 0.004333 s: algebra.gi 0.000382 s: algebra.subalgebra.complete_lattice 0.001021 s: algebra.finite_type 0.017037 s: ring_hom.finite_type 0.002723 s: alg_hom.to_fun 0.001357 s: alg_hom.map_one' 0.001560 s: alg_hom.map_mul' 0.001149 s: alg_hom.map_zero' 0.001221 s: alg_hom.map_add' 0.000771 s: alg_hom.to_ring_hom 0.000307 s: alg_hom.finite_type 0.003092 s: times_cont_diff_within_at.times_cont_diff_on 0.000453 s: tendsto_pure_nhds 0.001092 s: continuous_within_at_singleton 0.000889 s: continuous_within_at_insert_self 0.000124 s: continuous_within_at.insert_self 0.000365 s: times_cont_diff_on.times_cont_diff_within_at 0.005489 s: times_cont_diff_within_at.comp 0.000638 s: times_cont_diff_at.times_cont_diff_within_at 0.001986 s: times_cont_diff.comp_times_cont_diff_within_at 0.000991 s: times_cont_diff.comp_times_cont_diff_at 0.159947 s: nhds_bot_order 0.000929 s: add_subgroup.coe_to_add_submonoid 0.005907 s: add_subgroup.has_Inf._proof_1 0.004003 s: add_subgroup.has_Inf._proof_2 0.003244 s: add_subgroup.has_Inf._proof_3 0.003326 s: add_subgroup.has_Inf._proof_4 0.002564 s: add_subgroup.has_Inf 0.004938 s: add_subgroup.complete_lattice._proof_1 0.004691 s: add_subgroup.complete_lattice._proof_2 0.004967 s: add_subgroup.complete_lattice._proof_3 0.005477 s: add_subgroup.complete_lattice._proof_4 0.006449 s: add_subgroup.complete_lattice._proof_5 0.007813 s: add_subgroup.complete_lattice._proof_6 0.004202 s: add_subgroup.complete_lattice._proof_7 0.004217 s: add_subgroup.complete_lattice._proof_8 0.000212 s: add_subgroup.has_inf._proof_1 0.000219 s: add_subgroup.has_inf._proof_2 0.001948 s: add_subgroup.has_inf._match_1 0.000214 s: add_subgroup.has_inf._proof_3 0.000440 s: add_subgroup.has_inf 0.000225 s: add_subgroup.complete_lattice._proof_9 0.000171 s: add_subgroup.complete_lattice._proof_10 0.007407 s: add_subgroup.complete_lattice._proof_11 0.000129 s: add_subgroup.has_top._proof_1 0.000168 s: add_subgroup.has_top._proof_2 0.000245 s: add_subgroup.has_top._proof_3 0.000314 s: add_subgroup.has_top 0.000346 s: add_subgroup.mem_top 0.000197 s: add_subgroup.complete_lattice._proof_12 0.000540 s: add_subgroup.mem_bot 0.000351 s: add_subgroup.zero_mem 0.000292 s: add_subgroup.complete_lattice._proof_13 0.005027 s: add_subgroup.complete_lattice._proof_14 0.004508 s: add_subgroup.complete_lattice._proof_15 0.004399 s: add_subgroup.complete_lattice._proof_16 0.004200 s: add_subgroup.complete_lattice._proof_17 0.015252 s: add_subgroup.complete_lattice 0.000949 s: preorder_hom 0.000061 s: omega_complete_partial_order.chain 0.000128 s: preorder_hom.to_fun 0.000166 s: preorder_hom.has_coe_to_fun 0.000091 s: omega_complete_partial_order.chain.has_coe_to_fun 0.001802 s: omega_complete_partial_order 0.000352 s: omega_complete_partial_order.to_partial_order 0.000635 s: omega_complete_partial_order.ωSup 0.000193 s: preorder_hom.monotone' 0.000263 s: preorder_hom.monotone 0.000657 s: preorder_hom.comp._proof_1 0.000432 s: preorder_hom.comp 0.000136 s: omega_complete_partial_order.chain.map 0.000773 s: preorder_hom.prod.fst._match_1 0.000544 s: preorder_hom.prod.fst._match_2 0.000338 s: preorder_hom.prod.fst._match_3 0.000185 s: preorder_hom.prod.fst._proof_1 0.000190 s: preorder_hom.prod.fst 0.000487 s: preorder_hom.prod.snd._match_1 0.000359 s: preorder_hom.prod.snd._match_2 0.000305 s: preorder_hom.prod.snd._match_3 0.000191 s: preorder_hom.prod.snd._proof_1 0.000195 s: preorder_hom.prod.snd 0.000298 s: prod.ωSup 0.000849 s: omega_complete_partial_order.le_ωSup 0.004732 s: prod.omega_complete_partial_order._proof_1 0.000810 s: omega_complete_partial_order.ωSup_le 0.004038 s: prod.omega_complete_partial_order._match_1 0.000998 s: prod.omega_complete_partial_order._proof_2 0.001577 s: prod.omega_complete_partial_order 0.000300 s: compact_space 0.000991 s: bounded_continuous_function 0.000999 s: metric.bounded_range_iff 0.000099 s: compact_space.compact_univ 0.000043 s: compact_univ 0.000301 s: compact_range 0.000796 s: bounded_continuous_function.mk_of_compact._proof_1 0.000194 s: bounded_continuous_function.mk_of_compact 0.000339 s: bounded_continuous_function.to_continuous_map 0.000074 s: bounded_continuous_function.forget_boundedness 0.001040 s: continuous_map.equiv_bounded_of_compact._proof_1 0.000114 s: bounded_continuous_function.has_coe_to_fun 0.000603 s: bounded_continuous_function.cases_on 0.002598 s: bounded_continuous_function.ext 0.000691 s: continuous_map.equiv_bounded_of_compact._proof_2 0.000625 s: continuous_map.equiv_bounded_of_compact 0.000325 s: continuous_map.metric_space._proof_1 0.000282 s: bounded_continuous_function.has_dist 0.000528 s: bounded_continuous_function.bounded' 0.000381 s: bounded_continuous_function.bounded 0.005968 s: dist_triangle4 0.002200 s: dist_triangle4_left 0.008444 s: bounded_continuous_function.dist_set_exists 0.003331 s: bounded_continuous_function.dist_coe_le_dist 0.002475 s: bounded_continuous_function.dist_le 0.002101 s: _private.378821059.dist_nonneg' 0.001144 s: bounded_continuous_function.metric_space._proof_1 0.000411 s: bounded_continuous_function.dist_eq 0.001073 s: bounded_continuous_function.metric_space._proof_2 0.007702 s: bounded_continuous_function.metric_space._proof_3 0.000846 s: bounded_continuous_function.metric_space._proof_4 0.001094 s: bounded_continuous_function.metric_space._proof_5 0.001128 s: bounded_continuous_function.metric_space._proof_6 0.006487 s: bounded_continuous_function.metric_space._proof_7 0.012104 s: bounded_continuous_function.metric_space._proof_8 0.015754 s: bounded_continuous_function.metric_space._proof_9 0.006967 s: bounded_continuous_function.metric_space 0.000382 s: continuous_map.metric_space 0.000314 s: continuous_map.to_fun_eq_coe 0.000539 s: continuous_map.const_coe 0.001606 s: bounded_continuous_function.const._proof_1 0.000158 s: bounded_continuous_function.const 0.000232 s: bounded_continuous_function.has_zero 0.000098 s: bounded_continuous_function.has_norm 0.000872 s: norm_sub_le 0.000194 s: dist_le_norm_add_norm 0.007407 s: bounded_continuous_function.dist_le_two_norm' 0.001175 s: bounded_continuous_function.of_normed_group._proof_1 0.000467 s: bounded_continuous_function.of_normed_group 0.000422 s: bounded_continuous_function.continuous 0.000893 s: bounded_continuous_function.has_add._proof_1 0.000880 s: bounded_continuous_function.coe_zero 0.002701 s: bounded_continuous_function.norm_coe_le_norm 0.006797 s: bounded_continuous_function.has_add._proof_2 0.001061 s: bounded_continuous_function.has_add 0.001589 s: bounded_continuous_function.coe_add 3.476330 s: bounded_continuous_function.add_comm_group._proof_1 0.009585 s: bounded_continuous_function.add_comm_group._proof_2 0.009521 s: bounded_continuous_function.add_comm_group._proof_3 0.007640 s: bounded_continuous_function.add_comm_group._proof_4 0.004858 s: bounded_continuous_function.add_comm_group._proof_5 0.012267 s: bounded_continuous_function.add_comm_group._proof_6 0.018117 s: bounded_continuous_function.add_comm_group._proof_7 0.000672 s: bounded_continuous_function.has_neg._proof_1 0.005136 s: bounded_continuous_function.has_neg._proof_2 0.000944 s: bounded_continuous_function.has_neg 0.001911 s: bounded_continuous_function.has_sub._proof_1 0.011038 s: bounded_continuous_function.has_sub._proof_2 0.001138 s: bounded_continuous_function.has_sub 7.064644 s: bounded_continuous_function.add_comm_group._proof_8 0.001375 s: bounded_continuous_function.coe_neg 6.992482 s: bounded_continuous_function.add_comm_group._proof_9 0.005578 s: pi.add_comm_semigroup._proof_1 0.006572 s: pi.add_comm_semigroup._proof_2 0.000438 s: pi.add_comm_semigroup 6.919239 s: bounded_continuous_function.add_comm_group._proof_10 0.092989 s: bounded_continuous_function.add_comm_group 0.000598 s: bounded_continuous_function.norm_def 0.021718 s: bounded_continuous_function.norm_eq 0.000993 s: bounded_continuous_function.sub_apply 0.003532 s: bounded_continuous_function.normed_group._proof_1 0.000208 s: bounded_continuous_function.normed_group 0.000654 s: continuous_map.isometric_bounded_of_compact._proof_1 0.003647 s: continuous_map.isometric_bounded_of_compact 0.001038 s: continuous_map.isometric_bounded_of_compact_to_equiv 0.005195 s: intermediate_field 0.000966 s: intermediate_field.carrier 0.001678 s: intermediate_field.cases_on 0.003961 s: intermediate_field.set_like._proof_1 0.000347 s: intermediate_field.set_like 0.006650 s: function.injective.ring._proof_1 0.003223 s: function.injective.ring._proof_2 0.004219 s: function.injective.ring._proof_3 0.003890 s: function.injective.ring._proof_4 0.003058 s: function.injective.ring._proof_5 0.003152 s: function.injective.ring._proof_6 0.003177 s: function.injective.ring._proof_7 0.003248 s: function.injective.ring._proof_8 0.003308 s: function.injective.ring._proof_9 0.002414 s: function.injective.ring._proof_10 0.003155 s: function.injective.ring._proof_11 0.002760 s: function.injective.ring._proof_12 0.002758 s: function.injective.ring._proof_13 0.000571 s: function.injective.ring._proof_14 0.000356 s: function.injective.ring._proof_15 0.010122 s: function.injective.ring 0.007381 s: function.injective.comm_ring._proof_1 0.001110 s: function.injective.comm_ring._proof_2 0.001031 s: function.injective.comm_ring._proof_3 0.001136 s: function.injective.comm_ring._proof_4 0.001149 s: function.injective.comm_ring._proof_5 0.001438 s: function.injective.comm_ring._proof_6 0.001431 s: function.injective.comm_ring._proof_7 0.000822 s: function.injective.comm_ring._proof_8 0.000806 s: function.injective.comm_ring._proof_9 0.000778 s: function.injective.comm_ring._proof_10 0.000730 s: function.injective.comm_ring._proof_11 0.000965 s: function.injective.comm_ring._proof_12 0.001050 s: function.injective.comm_ring._proof_13 0.001114 s: function.injective.comm_ring._proof_14 0.000933 s: function.injective.comm_ring._proof_15 0.001572 s: function.injective.comm_ring._proof_16 0.010926 s: function.injective.comm_ring 0.079748 s: function.injective.field._proof_1 0.092261 s: function.injective.field._proof_2 0.087354 s: function.injective.field._proof_3 0.085123 s: function.injective.field._proof_4 0.088738 s: function.injective.field._proof_5 0.088496 s: function.injective.field._proof_6 0.083757 s: function.injective.field._proof_7 0.084402 s: function.injective.field._proof_8 0.069701 s: function.injective.field._proof_9 0.064400 s: function.injective.field._proof_10 0.063664 s: function.injective.field._proof_11 0.062921 s: function.injective.field._proof_12 0.060850 s: function.injective.field._proof_13 0.080514 s: function.injective.field._proof_14 0.084232 s: function.injective.field._proof_15 0.066186 s: function.injective.field._proof_16 0.061131 s: function.injective.field._proof_17 0.037678 s: function.injective.field._proof_18 0.058500 s: function.injective.field._proof_19 0.064180 s: function.injective.field._proof_20 0.109286 s: function.injective.field 0.014003 s: subring.cases_on 0.006964 s: subring.set_like._proof_1 0.000130 s: subring.set_like 0.000607 s: subring.to_ring._proof_1 0.000311 s: subring.to_ring._proof_2 0.000316 s: subring.to_ring._proof_3 0.000668 s: subring.to_ring._proof_4 0.000556 s: subring.to_ring._proof_5 0.000846 s: subring.to_ring._proof_6 0.001347 s: subring.to_ring._proof_7 0.000458 s: subring.to_ring._proof_8 0.004212 s: subring.to_ring._proof_9 0.002231 s: subring.to_ring._proof_10 0.001894 s: subring.to_ring._proof_11 0.002176 s: subring.to_ring._proof_12 0.002340 s: subring.to_ring._proof_13 0.011619 s: subring.to_ring._proof_14 0.011263 s: subring.to_ring._proof_15 0.008087 s: subring.to_ring 0.000901 s: subfield.ring 0.000787 s: subfield.has_inv._proof_1 0.000318 s: subfield.has_inv 0.002920 s: subfield.mul_mem 0.001761 s: subfield.div_mem 0.000877 s: subfield.has_div._proof_1 0.000441 s: subfield.has_div 0.000218 s: subfield.to_field._proof_1 0.000329 s: subfield.to_field._proof_2 0.000423 s: subfield.to_field._proof_3 0.000347 s: subfield.to_field._proof_4 0.000389 s: subfield.to_field._proof_5 0.000267 s: subfield.to_field._proof_6 0.000510 s: subfield.to_field._proof_7 0.000278 s: subfield.to_field._proof_8 0.000356 s: subfield.to_field._proof_9 0.022310 s: subfield.to_field 0.007595 s: intermediate_field.one_mem' 0.002945 s: intermediate_field.mul_mem' 0.000997 s: intermediate_field.zero_mem' 0.001060 s: intermediate_field.add_mem' 0.001057 s: intermediate_field.neg_mem' 0.001182 s: intermediate_field.inv_mem' 0.001006 s: intermediate_field.to_subfield 0.001159 s: intermediate_field.to_field 0.000382 s: subsemiring.to_semiring._proof_1 0.000276 s: subsemiring.to_semiring._proof_2 0.000245 s: subsemiring.to_semiring._proof_3 0.000398 s: subsemiring.to_semiring._proof_4 0.000375 s: subsemiring.to_semiring._proof_5 0.000275 s: subsemiring.to_semiring._proof_6 0.001787 s: subsemiring.to_semiring._proof_7 0.001369 s: subsemiring.to_semiring._proof_8 0.001319 s: subsemiring.to_semiring._proof_9 0.001587 s: subsemiring.to_semiring._proof_10 0.001573 s: subsemiring.to_semiring._proof_11 0.005619 s: subsemiring.to_semiring._proof_12 0.005320 s: subsemiring.to_semiring._proof_13 0.008587 s: subsemiring.to_semiring._proof_14 0.010899 s: subsemiring.to_semiring._proof_15 0.006819 s: subsemiring.to_semiring 0.001312 s: subalgebra.to_semiring 0.001526 s: subsemiring.mul_mem 0.001696 s: subalgebra.mul_mem 0.001488 s: subalgebra.smul_mem 0.000918 s: subalgebra.algebra._proof_1 0.002934 s: ring_hom.cod_srestrict._proof_1 0.002129 s: ring_hom.cod_srestrict._proof_2 0.000247 s: add_submonoid.to_add_zero_class._proof_1 0.000410 s: add_submonoid.to_add_zero_class._proof_2 0.000592 s: add_submonoid.to_add_zero_class._proof_3 0.001804 s: add_submonoid.to_add_zero_class 0.001318 s: add_monoid_hom.cod_mrestrict._proof_1 0.001367 s: add_monoid_hom.cod_mrestrict._proof_2 0.000900 s: add_monoid_hom.cod_mrestrict 0.002962 s: ring_hom.cod_srestrict._proof_3 0.002245 s: ring_hom.cod_srestrict._proof_4 0.011221 s: ring_hom.cod_srestrict 0.000815 s: subalgebra.range_le 0.001573 s: subalgebra.algebra._proof_2 0.002690 s: subalgebra.algebra._proof_3 0.003295 s: subalgebra.algebra._proof_4 0.003923 s: subalgebra.algebra._proof_5 0.002424 s: subalgebra.algebra._proof_6 0.008391 s: subalgebra.algebra._proof_7 0.010280 s: subalgebra.algebra._proof_8 0.007172 s: subalgebra.algebra 0.001781 s: intermediate_field.algebra_map_mem' 0.001197 s: intermediate_field.to_subalgebra 0.077641 s: intermediate_field.algebra 0.008747 s: intermediate_field.lifts 0.001267 s: subring.mk'._proof_1 0.006243 s: subring.mk'._proof_2 0.007252 s: subring.mk'._proof_3 0.001511 s: add_subgroup.add_mem 0.005132 s: subring.mk'._proof_4 0.001175 s: subring.mk'._proof_5 0.000878 s: subring.mk' 0.000817 s: subring.coe_to_submonoid 0.001975 s: subring.has_Inf._proof_1 0.001589 s: add_subgroup.coe_Inf 0.000989 s: add_subgroup.coe_infi 0.000695 s: subring.coe_to_add_subgroup 0.001262 s: subring.has_Inf._proof_2 0.000494 s: subring.has_Inf 0.000088 s: subring.closure 0.000373 s: subring.one_mem 0.023208 s: subfield.closure._proof_1 0.005659 s: subring.mul_mem 0.030721 s: subfield.closure._proof_2 0.001827 s: subring.zero_mem 0.029770 s: subfield.closure._proof_3 0.004073 s: subring.add_mem 0.033156 s: subfield.closure._proof_4 0.001041 s: subring.neg_mem 0.020294 s: subfield.closure._match_1 0.001598 s: subfield.closure._proof_5 0.013591 s: subfield.closure._match_2 0.003151 s: subfield.closure._proof_6 0.001993 s: subfield.closure 0.001133 s: intermediate_field.adjoin._proof_1 0.000784 s: intermediate_field.adjoin._proof_2 0.000536 s: intermediate_field.adjoin._proof_3 0.000668 s: intermediate_field.adjoin._proof_4 0.002685 s: subring.mem_Inf 0.000343 s: subring.mem_closure 0.001690 s: subring.subset_closure 0.026320 s: subfield.subring_closure_le 0.006738 s: subfield.subset_closure 0.000875 s: intermediate_field.adjoin._proof_5 0.000511 s: intermediate_field.adjoin._proof_6 0.000550 s: intermediate_field.adjoin._proof_7 0.002214 s: intermediate_field.adjoin 0.002278 s: subfield.mem_closure 0.001407 s: subfield.closure_le 0.001179 s: intermediate_field.set_range_subset 0.007104 s: intermediate_field.adjoin_le_iff 0.001633 s: intermediate_field.gc 0.000524 s: intermediate_field.gi._proof_1 0.000440 s: intermediate_field.gi._proof_2 0.004011 s: intermediate_field.gi 0.000494 s: intermediate_field.complete_lattice 0.000227 s: alg_hom.coe_ring_hom 0.000883 s: alg_hom.comp._proof_1 0.000790 s: alg_hom.comp._proof_2 0.000727 s: alg_hom.comp._proof_3 0.000778 s: alg_hom.comp._proof_4 0.000183 s: alg_hom.has_coe_to_fun 0.001480 s: alg_hom.commutes' 0.000807 s: alg_hom.commutes 0.003206 s: alg_hom.comp._proof_5 0.002433 s: alg_hom.comp 0.000257 s: algebra.of_id._proof_1 0.000274 s: algebra.of_id._proof_2 0.000228 s: algebra.of_id._proof_3 0.000290 s: algebra.of_id._proof_4 0.000308 s: algebra.of_id._proof_5 0.001865 s: algebra.of_id 0.001084 s: mul_equiv 0.000327 s: mul_equiv.to_fun 0.000158 s: mul_equiv.has_coe_to_fun 0.000329 s: mul_equiv.inv_fun 0.000570 s: mul_equiv.left_inv 0.000426 s: mul_equiv.right_inv 0.000322 s: mul_equiv.to_equiv 0.000310 s: mul_equiv.symm._proof_1 0.000181 s: mul_equiv.symm._proof_2 0.000700 s: mul_hom 0.000178 s: mul_hom.to_fun 0.000147 s: mul_hom.has_coe_to_fun 0.000558 s: mul_hom.map_mul' 0.000394 s: mul_hom.map_mul 0.001221 s: mul_hom.inverse._proof_1 0.000300 s: mul_hom.inverse 0.000838 s: mul_equiv.map_mul' 0.000279 s: mul_equiv.to_mul_hom 0.002321 s: mul_equiv.symm._proof_3 0.001128 s: mul_equiv.symm 0.001004 s: mul_equiv.apply_symm_apply 0.000375 s: mul_equiv.map_mul 0.001130 s: mul_equiv.map_one 0.000941 s: alg_equiv.inv_fun 0.001320 s: alg_equiv.left_inv 0.000983 s: alg_equiv.right_inv 0.000905 s: alg_equiv.map_mul' 0.000588 s: alg_equiv.to_mul_equiv 0.002028 s: alg_equiv.map_one 0.001013 s: alg_equiv.map_add' 0.000514 s: alg_equiv.to_add_equiv 0.004163 s: alg_equiv.map_zero 0.001425 s: alg_equiv.commutes' 0.005247 s: alg_equiv.to_alg_hom 0.001519 s: ring_equiv 0.000335 s: ring_equiv.to_fun 0.000253 s: mul_equiv.trans._proof_1 0.000188 s: mul_equiv.trans._proof_2 0.001244 s: mul_equiv.trans._proof_3 0.002224 s: mul_equiv.trans 0.000427 s: ring_equiv.inv_fun 0.000705 s: ring_equiv.left_inv 0.000367 s: ring_equiv.right_inv 0.000626 s: ring_equiv.map_mul' 0.000432 s: ring_equiv.to_mul_equiv 0.000447 s: ring_equiv.trans._proof_1 0.000442 s: ring_equiv.trans._proof_2 0.000408 s: ring_equiv.trans._proof_3 0.000542 s: ring_equiv.map_add' 0.000345 s: ring_equiv.to_add_equiv 0.000400 s: ring_equiv.trans._proof_4 0.002988 s: ring_equiv.trans 0.001236 s: alg_equiv.to_ring_equiv 0.001375 s: alg_equiv.trans._proof_1 0.000994 s: alg_equiv.trans._proof_2 0.000810 s: alg_equiv.trans._proof_3 0.000773 s: alg_equiv.trans._proof_4 0.001740 s: alg_equiv.trans._proof_5 0.003738 s: alg_equiv.trans 0.001369 s: intermediate_field.subalgebra.equiv_of_eq._proof_1 0.001225 s: intermediate_field.subalgebra.equiv_of_eq._proof_2 0.004629 s: intermediate_field.subalgebra.equiv_of_eq._proof_3 0.005536 s: intermediate_field.subalgebra.equiv_of_eq._proof_4 0.001965 s: intermediate_field.subalgebra.equiv_of_eq._proof_5 0.001666 s: intermediate_field.subalgebra.equiv_of_eq._proof_6 0.002335 s: intermediate_field.subalgebra.equiv_of_eq._proof_7 0.019718 s: intermediate_field.subalgebra.equiv_of_eq 0.000576 s: subalgebra.ext 0.006274 s: intermediate_field.mem_to_subalgebra 0.000532 s: alg_hom.range._proof_1 0.000517 s: alg_hom.range._proof_2 0.000288 s: alg_hom.range._proof_3 0.000447 s: alg_hom.range._proof_4 0.001692 s: alg_hom.range._proof_5 0.001792 s: alg_hom.range 0.001880 s: alg_hom.mem_range 0.001344 s: alg_hom.coe_range 0.008195 s: algebra.mem_bot 0.000239 s: subring.has_top._proof_1 0.000249 s: subring.has_top._proof_2 0.000238 s: subring.has_top._proof_3 0.000179 s: subring.has_top._proof_4 0.000121 s: subring.has_top._proof_5 0.006400 s: subring.has_top 0.000165 s: subfield.has_top._proof_1 0.000189 s: subfield.has_top._proof_2 0.000135 s: subfield.has_top._proof_3 0.000257 s: subfield.has_top._proof_4 0.000149 s: subfield.has_top._proof_5 0.000611 s: subring.mem_top 0.000133 s: subfield.has_top._proof_6 0.001371 s: subfield.has_top 0.001252 s: subring.map._proof_1 0.000653 s: subring.map._proof_2 0.000295 s: add_subgroup.map._proof_1 0.000448 s: add_subgroup.map._proof_2 0.002297 s: add_subgroup.map._proof_3 0.001508 s: add_subgroup.map 0.023917 s: subring.map._proof_3 0.028421 s: subring.map._proof_4 0.028161 s: subring.map._proof_5 0.012228 s: subring.map 0.000362 s: subfield.map._proof_1 0.000407 s: subfield.map._proof_2 0.000345 s: subfield.map._proof_3 0.000290 s: subfield.map._proof_4 0.000301 s: subfield.map._proof_5 0.022860 s: subfield.map._proof_6 0.003863 s: subfield.map 0.006249 s: subfield.map_le_iff_le_comap 0.000304 s: subfield.closure_mono 0.001588 s: subfield.mem_comap 0.002166 s: ring_hom.field_closure_preimage_le 0.003213 s: ring_hom.map_field_closure 0.000807 s: subfield.coe_top 0.000282 s: galois_insertion.l_u_eq 0.000201 s: subfield.gi._proof_1 0.000145 s: subfield.gi._proof_2 0.000181 s: subfield.gi._proof_3 0.004547 s: subfield.gi 0.000235 s: subfield.closure_eq 0.000211 s: subfield.closure_univ 0.001997 s: subfield.coe_map 0.036857 s: intermediate_field.mem_bot 0.008347 s: intermediate_field.bot_to_subalgebra 0.000371 s: ring_equiv.symm._proof_1 0.000406 s: ring_equiv.symm._proof_2 0.000366 s: ring_equiv.symm._proof_3 0.000347 s: ring_equiv.symm._proof_4 0.001966 s: ring_equiv.symm 0.000722 s: alg_equiv.symm._proof_1 0.000469 s: alg_equiv.symm._proof_2 0.000479 s: alg_equiv.symm._proof_3 0.000503 s: alg_equiv.symm._proof_4 0.000163 s: ring_equiv.has_coe_to_fun 0.000299 s: ring_equiv.to_equiv 0.001365 s: ring_equiv.symm_apply_apply 0.000832 s: alg_equiv.commutes 0.002888 s: alg_equiv.symm._proof_5 0.001231 s: alg_equiv.symm 0.000301 s: ring_equiv.of_bijective._proof_1 0.000214 s: ring_equiv.of_bijective._proof_2 0.008015 s: ring_equiv.of_bijective 0.002420 s: alg_equiv.of_bijective._proof_1 0.001822 s: alg_equiv.of_bijective._proof_2 0.001759 s: alg_equiv.of_bijective._proof_3 0.002238 s: alg_equiv.of_bijective._proof_4 0.004227 s: alg_equiv.of_bijective 0.002923 s: algebra.bot_equiv_of_injective._match_1 0.001977 s: algebra.bot_equiv_of_injective._match_2 0.002468 s: algebra.bot_equiv_of_injective._proof_1 0.001319 s: algebra.bot_equiv_of_injective 0.010543 s: ring_hom.injective_iff 0.000433 s: is_unit.ne_zero 0.000216 s: mul_right_cancel_iff 0.001180 s: mul_left_eq_self 0.004274 s: monoid_hom.mk'._proof_1 0.002509 s: monoid_hom.mk' 0.000750 s: units.map._proof_1 0.000688 s: units.map._proof_2 0.004912 s: units.map._proof_3 0.002081 s: units.map 0.001649 s: is_unit.map 0.003180 s: monoid_with_zero_hom.map_ne_zero 0.000755 s: monoid_with_zero_hom.map_eq_zero 0.012924 s: ring_hom.map_eq_zero 0.001821 s: ring_hom.injective 0.048755 s: algebra.bot_equiv._proof_1 0.072206 s: algebra.bot_equiv 0.000082 s: intermediate_field.bot_equiv._proof_1 0.116552 s: intermediate_field.bot_equiv 0.017662 s: intermediate_field.lifts.order_bot._proof_1 0.005608 s: intermediate_field.lifts.order_bot._proof_2 0.002880 s: intermediate_field.lifts.order_bot._proof_3 0.002020 s: alg_hom.cases_on 0.003101 s: alg_hom.coe_fn_inj 0.000809 s: alg_hom.ext 0.031469 s: intermediate_field.lifts.order_bot._proof_4 0.073719 s: intermediate_field.lifts.order_bot._proof_5 0.049297 s: intermediate_field.lifts.order_bot 0.001323 s: intermediate_field.one_mem 0.013352 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_1 0.002477 s: intermediate_field.lifts.exists_max_two 0.003902 s: intermediate_field.mul_mem 0.008336 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_2 0.003447 s: intermediate_field.zero_mem 0.005043 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_3 0.004100 s: intermediate_field.add_mem 0.008807 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_4 0.001427 s: intermediate_field.algebra_map_mem 0.004292 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_5 0.001651 s: intermediate_field.neg_mem 0.002725 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_6 0.001319 s: intermediate_field.inv_mem 0.003706 s: intermediate_field.lifts.upper_bound_intermediate_field._proof_7 0.006914 s: intermediate_field.lifts.upper_bound_intermediate_field 0.002780 s: intermediate_field.lifts.upper_bound_alg_hom._proof_1 0.009164 s: nsmul_eq_smul_cast 0.003618 s: nat.no_zero_smul_divisors 0.016595 s: eq_zero_of_smul_two_eq_zero 0.000019 s: rel 0.000111 s: rel.image 0.000147 s: rel.image.equations._eqn_1 0.001565 s: add_monoid_algebra.algebra._proof_1 0.000570 s: add_monoid_algebra.algebra._proof_2 0.000591 s: add_monoid_algebra.algebra._proof_3 0.000479 s: add_monoid_algebra.algebra._proof_4 0.003095 s: add_monoid_algebra.single_zero_ring_hom_apply 0.008415 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category_theory.limits.has_limits_of_shape 0.000338 s: category_theory.limits.has_finite_products 0.000780 s: category_theory.limits.has_colimits_of_shape 0.000309 s: category_theory.limits.has_finite_coproducts 0.000111 s: category_theory.limits.fork 0.000164 s: category_theory.limits.kernel_fork 0.008633 s: category_theory.limits.fork.of_ι._proof_1 0.002318 s: category_theory.limits.fork.of_ι 0.001253 s: category_theory.limits.has_zero_morphisms.comp_zero 0.000579 s: category_theory.limits.kernel_fork.of_ι._proof_1 0.000627 s: category_theory.limits.kernel_fork.of_ι 0.002768 s: category_theory.normal_mono 0.000152 s: category_theory.limits.cofork 0.000163 s: category_theory.limits.cokernel_cofork 0.006899 s: category_theory.limits.cofork.of_π._proof_1 0.002627 s: category_theory.limits.cofork.of_π 0.001081 s: category_theory.limits.has_zero_morphisms.zero_comp 0.000203 s: category_theory.limits.zero_comp 0.000450 s: category_theory.limits.cokernel_cofork.of_π._proof_1 0.000512 s: category_theory.limits.cokernel_cofork.of_π 0.002446 s: category_theory.normal_epi 0.001537 s: category_theory.non_preadditive_abelian 0.000431 s: category_theory.non_preadditive_abelian.has_zero_morphisms 0.001966 s: category_theory.normal_epi.cases_on 0.000219 s: category_theory.limits.has_coequalizer 0.000452 s: category_theory.limits.colimit_cocone.cocone 0.000194 s: category_theory.limits.has_colimit.exists_colimit 0.000170 s: category_theory.limits.get_colimit_cocone 0.000305 s: category_theory.limits.colimit.cocone 0.000242 s: category_theory.limits.colimit 0.000258 s: category_theory.limits.coequalizer 0.000319 s: category_theory.limits.has_colimits_of_shape.has_colimit 0.000126 s: category_theory.limits.has_colimit_of_has_colimits_of_shape 0.000024 s: category_theory.limits.has_coequalizers 0.000142 s: category_theory.limits.has_colimit.mk 0.007603 s: category_theory.limits.cocone_morphism 0.002966 s: category_theory.limits.cocone.category._proof_1 0.001800 s: category_theory.limits.cocone_morphism.hom 0.003510 s: category_theory.limits.cocone_morphism.w 0.003406 s: category_theory.limits.cocone_morphism.w_assoc 0.004913 s: category_theory.limits.cocone.category._proof_2 0.003443 s: category_theory.limits.cocone_morphism.cases_on 0.003403 s: category_theory.limits.cocone_morphism.ext 0.027654 s: category_theory.limits.cocone.category._proof_3 0.030337 s: category_theory.limits.cocone.category._proof_4 0.005599 s: category_theory.limits.cocone_morphism.no_confusion_type 0.002184 s: category_theory.limits.cocone_morphism.no_confusion 0.003711 s: category_theory.limits.cocone_morphism.mk.inj 0.005051 s: category_theory.limits.cocone_morphism.mk.inj_eq 0.026732 s: category_theory.limits.cocone.category._proof_5 0.013658 s: category_theory.limits.cocone.category 0.007997 s: category_theory.limits.cocones.precompose._proof_1 0.013253 s: category_theory.limits.cocones.precompose._proof_2 0.014394 s: category_theory.limits.cocones.precompose._proof_3 0.009589 s: category_theory.limits.cocones.precompose 0.003157 s: category_theory.limits.is_colimit.desc 0.000389 s: category_theory.limits.colimit_cocone.is_colimit 0.000220 s: category_theory.limits.colimit.is_colimit 0.000383 s: category_theory.limits.colimit.desc 0.001655 s: category_theory.limits.cocones.precompose_obj_ι 0.001703 s: category_theory.nat_trans.comp_app 0.001513 s: category_theory.limits.colimit.ι 0.001840 s: category_theory.limits.colimit.cocone_ι 0.006268 s: category_theory.limits.is_colimit.fac 0.001986 s: category_theory.limits.colimit.ι_desc 0.002634 s: category_theory.iso.app._proof_1 0.001623 s: category_theory.iso.app._proof_2 0.000765 s: category_theory.iso.app 0.001082 s: category_theory.nat_iso.app_hom 0.005149 s: category_theory.limits.is_colimit.uniq 0.007904 s: category_theory.limits.is_colimit.hom_desc 0.016494 s: category_theory.limits.is_colimit.hom_ext 0.002779 s: category_theory.limits.colimit.hom_ext 0.002385 s: category_theory.nat_iso.app_inv 0.001033 s: category_theory.iso.app_hom 0.013789 s: category_theory.limits.has_colimit_of_iso 0.003343 s: category_theory.nat_iso.of_components._proof_1 0.012821 s: category_theory.nat_iso.of_components._proof_2 0.011681 s: category_theory.nat_iso.of_components._proof_3 0.005128 s: category_theory.nat_iso.of_components 0.000158 s: category_theory.eq_to_hom._proof_1 0.000096 s: category_theory.eq_to_hom 0.000502 s: category_theory.eq_to_hom_refl 0.001402 s: category_theory.eq_to_hom_trans 0.001046 s: category_theory.eq_to_iso._proof_1 0.000826 s: category_theory.eq_to_iso._proof_2 0.000389 s: category_theory.eq_to_iso 0.001091 s: category_theory.limits.diagram_iso_parallel_pair._proof_1 0.011422 s: category_theory.limits.diagram_iso_parallel_pair._proof_2 0.001122 s: category_theory.limits.diagram_iso_parallel_pair 0.000723 s: category_theory.limits.has_coequalizers_of_has_colimit_parallel_pair 0.000016 s: category_theory.limits.wide_pushout_shape 0.000014 s: category_theory.limits.walking_span 0.000316 s: category_theory.thin_category._proof_1 0.000221 s: category_theory.thin_category._proof_2 0.000278 s: category_theory.thin_category._proof_3 0.000384 s: category_theory.thin_category 0.000576 s: category_theory.limits.wide_pushout_shape.hom 0.000278 s: category_theory.limits.wide_pushout_shape.hom.cases_on 0.000199 s: category_theory.limits.wide_pushout_shape.struct._proof_1 0.000062 s: category_theory.limits.wide_pushout_shape.struct._proof_2 0.000144 s: category_theory.limits.wide_pushout_shape.struct._proof_3 0.000046 s: category_theory.limits.wide_pushout_shape.struct._proof_4 0.000029 s: category_theory.limits.wide_pushout_shape.struct._proof_5 0.000021 s: category_theory.limits.wide_pushout_shape.struct._proof_6 0.000065 s: category_theory.limits.wide_pushout_shape.struct._proof_7 0.000178 s: category_theory.limits.wide_pushout_shape.struct._proof_8 0.000077 s: category_theory.limits.wide_pushout_shape.struct._proof_9 0.000056 s: category_theory.limits.wide_pushout_shape.struct._proof_10 0.000036 s: category_theory.limits.wide_pushout_shape.struct._proof_11 0.000034 s: category_theory.limits.wide_pushout_shape.struct._proof_12 0.000088 s: category_theory.limits.wide_pushout_shape.struct._proof_13 0.003117 s: category_theory.limits.wide_pushout_shape.struct 0.003220 s: category_theory.limits.wide_pushout_shape.subsingleton_hom 0.000081 s: category_theory.limits.wide_pushout_shape.category._proof_1 0.000096 s: category_theory.limits.wide_pushout_shape.category 0.001082 s: category_theory.limits.wide_pushout_shape.wide_span._proof_1 0.000041 s: category_theory.limits.wide_pushout_shape.wide_span._proof_2 0.000911 s: category_theory.limits.wide_pushout_shape.wide_span._proof_3 0.000098 s: category_theory.limits.wide_pushout_shape.wide_span._proof_4 0.000087 s: category_theory.limits.wide_pushout_shape.wide_span._proof_5 0.000026 s: category_theory.limits.wide_pushout_shape.wide_span._proof_6 0.000019 s: category_theory.limits.wide_pushout_shape.wide_span._proof_7 0.000091 s: category_theory.limits.wide_pushout_shape.wide_span._proof_8 0.003011 s: category_theory.limits.wide_pushout_shape.wide_span._proof_9 0.075890 s: category_theory.limits.wide_pushout_shape.wide_span._proof_10 0.005434 s: category_theory.limits.wide_pushout_shape.wide_span 0.000326 s: category_theory.limits.span 0.000200 s: category_theory.limits.has_pushout 0.000219 s: category_theory.limits.pushout 0.000054 s: category_theory.limits.has_binary_coproduct 0.000069 s: category_theory.limits.coprod 0.000076 s: category_theory.limits.has_finite_coproducts.out 0.000053 s: category_theory.limits.has_colimits_of_shape_discrete 0.000034 s: category_theory.limits.walking_pair.no_confusion_type 0.000128 s: category_theory.limits.walking_pair.no_confusion 0.000245 s: category_theory.limits.walking_pair.decidable_eq 0.001925 s: category_theory.limits.fintype_walking_pair._proof_1 0.000112 s: category_theory.limits.fintype_walking_pair 0.000409 s: category_theory.non_preadditive_abelian.has_finite_coproducts 0.000203 s: _private.1723893385.Q._proof_4 0.000694 s: category_theory.limits.coprod.desc 0.000141 s: _private.1723893385.Q._proof_5 0.000086 s: _private.1723893385.Q._proof_6 0.001196 s: category_theory.non_preadditive_abelian.normal_epi 0.000270 s: category_theory.limits.cokernel 0.000286 s: category_theory.limits.has_cokernels.has_colimit 0.000365 s: category_theory.non_preadditive_abelian.has_cokernels 0.001153 s: category_theory.limits.cofork.π 0.000414 s: category_theory.limits.coequalizer.π 0.000489 s: category_theory.limits.cokernel.π 0.002189 s: category_theory.limits.cokernel_cofork.is_colimit.desc'._proof_1 0.002462 s: category_theory.limits.cokernel_cofork.is_colimit.desc' 0.000441 s: category_theory.limits.coprod.inl 0.000860 s: category_theory.limits.coprod.inl_desc 0.001518 s: category_theory.limits.coprod.inl_desc_assoc 0.002815 s: category_theory.limits.cocone.w 0.001092 s: category_theory.limits.parallel_pair_map_left 0.002640 s: category_theory.limits.cofork.left_app_one 0.000633 s: category_theory.limits.parallel_pair_map_right 0.002375 s: category_theory.limits.cofork.right_app_one 0.001772 s: category_theory.limits.cofork.condition 0.001048 s: category_theory.limits.cokernel_cofork.condition 0.001807 s: category_theory.limits.cokernel.condition 0.000624 s: category_theory.limits.coprod.inr 0.001091 s: category_theory.limits.coprod.inr_desc 0.000724 s: category_theory.limits.coprod.inr_desc_assoc 0.000118 s: category_theory.limits.pushout_cocone 0.014856 s: category_theory.limits.pushout_cocone.mk._proof_1 0.003542 s: category_theory.limits.pushout_cocone.mk 0.001932 s: category_theory.limits.cofork.π_of_π 0.000035 s: category_theory.limits.walking_span.left 0.001786 s: category_theory.limits.pushout_cocone.inl 0.000043 s: category_theory.limits.walking_span.right 0.001335 s: category_theory.limits.pushout_cocone.inr 0.000039 s: category_theory.limits.walking_span.zero 0.000887 s: category_theory.limits.walking_span.hom.fst 0.001321 s: category_theory.limits.span_map_fst 0.007057 s: category_theory.limits.pushout_cocone.is_colimit_aux._proof_1 0.004269 s: category_theory.limits.pushout_cocone.is_colimit_aux 0.000018 s: category_theory.limits.wide_pullback_shape 0.000024 s: category_theory.limits.walking_cospan 0.000069 s: category_theory.limits.walking_cospan.left 0.000019 s: category_theory.limits.walking_cospan.right 0.005388 s: category_theory.limits.pushout_cocone.is_colimit.mk._proof_1 0.002865 s: category_theory.limits.pushout_cocone.is_colimit.mk 0.000771 s: category_theory.limits.cokernel.desc 0.000574 s: category_theory.limits.binary_cofan.inl 0.000464 s: category_theory.limits.binary_cofan.inr 0.002321 s: category_theory.limits.binary_cofan.is_colimit.hom_ext 0.001955 s: category_theory.limits.coprod.hom_ext 0.000479 s: category_theory.limits.walking_span.hom.snd 0.004172 s: category_theory.limits.pushout_cocone.condition 0.000017 s: tactic.calculated_Prop 0.000237 s: category_theory.reassoc_of 0.000253 s: category_theory.limits.comp_zero 0.001826 s: category_theory.limits.cokernel_cofork.π_of_π 0.001335 s: category_theory.limits.cokernel.π_desc 0.005753 s: category_theory.limits.cofork.coequalizer_ext 0.002247 s: category_theory.limits.cofork.is_colimit.hom_ext 0.001556 s: category_theory.limits.coequalizer.hom_ext 0.000639 s: category_theory.limits.coequalizer.π_epi 0.023284 s: category_theory.non_preadditive_abelian.pushout_of_epi 0.002429 s: _private.1723893385.Q._proof_7 0.001385 s: category_theory.epi_of_epi 0.000402 s: category_theory.epi_of_epi_fac 0.000426 s: category_theory.limits.coprod.epi_desc_of_epi_left 0.000189 s: _private.1723893385.Q._proof_2 0.000448 s: category_theory.category_struct.id.epi 0.000151 s: _private.1723893385.Q._proof_3 0.000807 s: category_theory.limits.pushout.inl 0.000551 s: category_theory.limits.pushout.inr 0.004933 s: category_theory.limits.cofork.is_colimit.mk._proof_1 0.005849 s: category_theory.limits.cofork.is_colimit.mk 0.001203 s: category_theory.limits.pushout.desc 0.002180 s: category_theory.limits.pushout.inl_desc 0.004718 s: category_theory.limits.pushout_cocone.coequalizer_ext 0.002726 s: category_theory.limits.pushout.hom_ext 0.000775 s: category_theory.limits.pushout.condition 0.016956 s: category_theory.non_preadditive_abelian.has_colimit_parallel_pair 0.000204 s: category_theory.non_preadditive_abelian.has_coequalizers 0.000742 s: category_theory.limits.coequalizer.desc 0.002528 s: category_theory.limits.coequalizer.π_desc 0.000732 s: category_theory.limits.coequalizer.desc' 0.000946 s: category_theory.limits.fork.ι 0.002648 s: category_theory.limits.kernel_fork.is_limit.lift'._proof_1 0.002941 s: category_theory.limits.kernel_fork.is_limit.lift' 0.003267 s: category_theory.regular_mono 0.003293 s: category_theory.limits.cone.w 0.004343 s: category_theory.limits.is_limit.uniq 0.009813 s: category_theory.limits.is_limit.hom_lift 0.012192 s: category_theory.limits.is_limit.hom_ext 0.004410 s: category_theory.limits.fork.app_zero_left 0.003805 s: category_theory.limits.fork.equalizer_ext 0.002064 s: category_theory.limits.fork.is_limit.hom_ext 0.001700 s: category_theory.limits.mono_of_is_limit_parallel_pair 0.000701 s: category_theory.regular_mono.Z 0.000780 s: category_theory.regular_mono.left 0.000525 s: category_theory.regular_mono.right 0.001863 s: category_theory.regular_mono.w 0.001714 s: category_theory.regular_mono.is_limit 0.002267 s: category_theory.regular_mono.mono 0.001541 s: category_theory.split_mono 0.000393 s: category_theory.split_mono.retraction 0.000149 s: category_theory.retraction 0.000592 s: category_theory.split_mono.id' 0.000301 s: category_theory.split_mono.id 0.000754 s: category_theory.split_mono.id_assoc 0.000528 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0.015606 s: add_con.complete_lattice 0.011099 s: add_con.add_con_gen_eq 0.002835 s: add_con.add_con_gen_le 0.003154 s: tensor_product.eqv.dcases_on 0.000494 s: add_con.ker_rel 0.003216 s: tensor_product.smul.aux_of 0.001646 s: tensor_product.zero_tmul 0.001650 s: tensor_product.tmul_zero 0.001426 s: tensor_product.add_tmul 0.001283 s: tensor_product.tmul_add 0.003065 s: tensor_product.compatible_smul 0.001307 s: tensor_product.compatible_smul.smul_tmul 0.000857 s: tensor_product.smul_tmul 0.004220 s: tensor_product.compatible_smul.is_scalar_tower._proof_1 0.002414 s: tensor_product.compatible_smul.is_scalar_tower 0.020765 s: tensor_product.has_scalar'._match_1 0.003226 s: tensor_product.has_scalar'._proof_1 0.001960 s: tensor_product.has_scalar' 0.000384 s: tensor_product.add_comm_monoid._proof_4 0.000384 s: tensor_product.add_comm_monoid._proof_5 0.000473 s: add_con.induction_on 0.000653 s: add_con.coe_add 0.002124 s: tensor_product.induction_on 0.003650 s: tensor_product.smul_zero 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0.000610 s: set_fintype 0.011201 s: equiv.units_equiv_ne_zero._proof_1 0.000409 s: equiv.units_equiv_ne_zero._proof_2 0.024027 s: equiv.units_equiv_ne_zero._match_1 0.014345 s: equiv.units_equiv_ne_zero._proof_3 0.026347 s: equiv.units_equiv_ne_zero._match_2 0.015277 s: equiv.units_equiv_ne_zero._proof_4 0.013822 s: equiv.units_equiv_ne_zero 0.000452 s: set.decidable_mem_of_fintype 0.000369 s: set.fintype_insert._proof_1 0.000391 s: set.fintype_insert._proof_2 0.000213 s: multiset.nodup_cons_of_nodup 0.000834 s: set.mem_to_finset_val 0.002530 s: set.fintype_insert'._proof_1 0.002131 s: set.fintype_insert'._proof_2 0.000491 s: set.fintype_insert' 0.000513 s: set.fintype_insert 0.001100 s: set.fintype_insert'.equations._eqn_1 0.006224 s: set.card_fintype_insert' 0.000902 s: set.card_insert 0.003104 s: finite_field.card_units 0.149575 s: mv_polynomial.eval_indicator_apply_eq_one 0.000140 s: omega.nat.preterm.below 0.011781 s: omega.nat.preterm.brec_on 0.000144 s: omega.nat.preterm.cases_on 0.000868 s: omega.nat.preterm.val._main 0.000016 s: omega.nat.preterm.val 0.000734 s: omega.nat.preform.holds._main 0.000016 s: omega.nat.preform.holds 0.000022 s: omega.nat.preform.implies 0.000083 s: omega.nat.preform.implies.equations._eqn_1 0.000230 s: set.maps_to.equations._eqn_1 0.000243 s: continuous_at.tendsto 0.007004 s: cluster_pt.map 0.001757 s: set.maps_to.closure 0.000350 s: map_mem_closure 0.000091 s: stream.iterate 0.000045 s: stream.corec 0.000068 s: stream.tails 0.000073 s: stream.tails.equations._eqn_1 0.003625 s: measure_theory.measure_bUnion_eq_supr 0.000279 s: psum 0.000115 s: psum.cases_on 0.000220 s: psum.sizeof._main 0.000035 s: psum.sizeof 0.000508 s: galois_insertion.u_le_u_iff 0.001232 s: apply_dite 0.000152 s: apply_ite 0.000304 s: finset.prod_ite_index 0.000080 s: category_theory.limits.has_binary_coproducts 0.000372 s: category_theory.limits.coprod.associator._proof_11 0.026730 s: real.cos_two_mul' 0.000168 s: add_semigroup.sizeof 0.000059 s: add_semigroup.has_sizeof_inst 0.000206 s: tactic.itauto.and_kind 0.004180 s: tactic.itauto.prop 0.000051 s: forall_or_of_or_forall 0.000316 s: decidable.forall_or_distrib_left 0.000591 s: decidable.forall_or_distrib_right 0.000113 s: forall_or_distrib_right 0.000063 s: category_theory.limits.has_products 0.000218 s: quiver.hom.op 0.000426 s: quiver.hom.op_unop 0.003401 s: category_theory.category.opposite._proof_1 0.002794 s: category_theory.category.opposite._proof_2 0.002587 s: category_theory.category.opposite._proof_3 0.001075 s: category_theory.category.opposite 0.000255 s: Top.presheaf 0.000069 s: category_theory.limits.has_product 0.000131 s: category_theory.limits.pi_obj 0.000463 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens._proof_1 0.000404 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens 0.000053 s: Top.presheaf.sheaf_condition_equalizer_products.left_res._proof_1 0.000194 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_1 0.000088 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_1 0.000684 s: category_theory.op_id 0.003035 s: category_theory.functor.op._proof_1 0.000735 s: category_theory.op_comp 0.003299 s: category_theory.functor.op._proof_2 0.001472 s: category_theory.functor.op 0.002260 s: is_open_map.functor._proof_1 0.001164 s: is_open_map.functor._proof_2 0.001061 s: is_open_map.functor._proof_3 0.004799 s: is_open_map.functor._proof_4 0.006883 s: is_open_map.functor._proof_5 0.011823 s: is_open_map.functor._proof_6 0.007854 s: is_open_map.functor 0.001951 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_2 0.001347 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters._proof_1 0.000495 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters 0.000072 s: Top.presheaf.sheaf_condition_equalizer_products.left_res._proof_2 0.000077 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_2 0.000063 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_3 0.000073 s: category_theory.limits.fan 0.006405 s: category_theory.limits.fan.mk._proof_1 0.001565 s: category_theory.limits.fan.mk 0.000692 s: category_theory.limits.pi.lift 0.000835 s: Top.presheaf.sheaf_condition_equalizer_products.left_res._proof_3 0.000092 s: Top.presheaf.sheaf_condition_equalizer_products.left_res._proof_4 0.000601 s: category_theory.limits.pi.π 0.000458 s: Top.presheaf.sheaf_condition_equalizer_products.left_res._proof_5 0.000251 s: topological_space.opens.inf_le_left._proof_1 0.036100 s: topological_space.opens.inf_le_left 0.008031 s: Top.presheaf.sheaf_condition_equalizer_products.left_res 0.000069 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_3 0.000112 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_4 0.000039 s: Top.presheaf.sheaf_condition_equalizer_products.right_res._proof_1 0.000034 s: Top.presheaf.sheaf_condition_equalizer_products.right_res._proof_2 0.001596 s: Top.presheaf.sheaf_condition_equalizer_products.right_res._proof_3 0.000089 s: Top.presheaf.sheaf_condition_equalizer_products.right_res._proof_4 0.000476 s: Top.presheaf.sheaf_condition_equalizer_products.right_res._proof_5 0.000264 s: topological_space.opens.inf_le_right._proof_1 0.033991 s: topological_space.opens.inf_le_right 0.009772 s: Top.presheaf.sheaf_condition_equalizer_products.right_res 0.000106 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_4 0.000111 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_5 0.000070 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_5 0.000065 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_6 0.000039 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_7 0.000037 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_8 0.000034 s: Top.presheaf.sheaf_condition_equalizer_products.res._proof_1 0.000362 s: Top.presheaf.sheaf_condition_equalizer_products.res._proof_2 0.000389 s: topological_space.opens.le_supr._proof_1 0.033104 s: topological_space.opens.le_supr 0.006931 s: Top.presheaf.sheaf_condition_equalizer_products.res 0.000130 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_9 0.003995 s: category_theory.limits.fan.mk_π_app 0.003842 s: category_theory.limits.limit.lift_π_assoc 0.000143 s: function.injective.subsingleton 0.000141 s: equiv.subsingleton 0.000326 s: category_theory.op_equiv._proof_1 0.000337 s: category_theory.op_equiv._proof_2 0.000901 s: category_theory.op_equiv 0.000309 s: category_theory.subsingleton_of_unop 0.000140 s: ulift.subsingleton 0.000175 s: plift.subsingleton 0.024719 s: Top.presheaf.sheaf_condition_equalizer_products.w 0.002696 s: Top.presheaf.sheaf_condition_equalizer_products.fork._proof_10 0.002275 s: Top.presheaf.sheaf_condition_equalizer_products.fork 0.000066 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_6 0.000056 s: Top.presheaf.sheaf_condition_equalizer_products.diagram._proof_1 0.000054 s: Top.presheaf.sheaf_condition_equalizer_products.diagram._proof_2 0.000039 s: Top.presheaf.sheaf_condition_equalizer_products.diagram._proof_3 0.000037 s: Top.presheaf.sheaf_condition_equalizer_products.diagram._proof_4 0.000536 s: Top.presheaf.sheaf_condition_equalizer_products.diagram 0.000063 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_3 0.000088 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_7 0.001097 s: Top.presheaf.sheaf_condition_equalizer_products.cover.of_open_embedding._proof_1 0.001652 s: Top.presheaf.sheaf_condition_equalizer_products.cover.of_open_embedding 0.000076 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_1 0.000076 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_8 0.000880 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_2 0.000058 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_4 0.000777 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_5 0.000105 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_6 0.000067 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding._proof_1 0.000857 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding._proof_2 0.000082 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding._proof_3 0.000044 s: category_theory.limits.has_products_of_shape 0.000153 s: category_theory.limits.pi.map_iso._proof_1 0.000084 s: category_theory.limits.pi.map_iso._proof_2 0.003384 s: category_theory.discrete.nat_iso._proof_1 0.000648 s: category_theory.discrete.nat_iso 0.002842 s: category_theory.limits.pi.map_iso 0.001716 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding._proof_4 0.005126 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding 0.000114 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_7 0.000047 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_1 0.000921 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_2 0.000052 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_3 0.000636 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_4 0.000073 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_5 0.000650 s: quiver.hom.unop_inj 0.002572 s: category_theory.iso.op._proof_1 0.001318 s: category_theory.iso.op._proof_2 0.000561 s: category_theory.iso.op 0.001873 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_6 0.001455 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_7 0.000229 s: set.image_inter_subset 0.002502 s: set.image_inter_on 0.000219 s: set.image_inter 0.006909 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_8 0.006165 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_9 0.013699 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_10 0.013664 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding._proof_11 0.014595 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding 0.000076 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_8 0.005548 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_open_embedding.equations._eqn_1 0.001149 s: category_theory.iso.cases_on 0.000152 s: subsingleton.helim 0.004152 s: category_theory.iso.ext 0.001422 s: category_theory.functor.map_iso_refl 0.001040 s: category_theory.functor.map_iso_hom 0.002040 s: category_theory.limits.lim_map_eq_lim_map 0.007317 s: category_theory.limits.limit.lift_map 0.002272 s: category_theory.discrete.nat_iso_hom_app 0.001068 s: category_theory.iso.op_hom 0.015219 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_open_embedding.equations._eqn_1 0.616881 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding._proof_9 0.014440 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding 0.000098 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_9 0.000045 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_10 0.000285 s: category_theory.eq_whisker 0.005274 s: category_theory.limits.fork.mk_hom._proof_1 0.002622 s: category_theory.limits.fork.mk_hom 0.002663 s: category_theory.limits.fork.ext._proof_1 0.012677 s: category_theory.limits.fork.ext._proof_2 0.017107 s: category_theory.limits.fork.ext._proof_3 0.006650 s: category_theory.limits.fork.ext 0.000095 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_11 0.001083 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_12 0.000076 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_13 0.000067 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_14 0.000055 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_15 0.000058 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_16 0.000055 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_17 0.000060 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_18 0.000037 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_19 0.000037 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_20 0.001089 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_21 0.000848 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_22 0.001355 s: galois_connection.l_Sup 0.029477 s: topological_space.opens.Sup_s 0.009457 s: topological_space.opens.supr_def 0.002777 s: topological_space.opens.supr_s 0.003272 s: topological_space.opens.supr_mk 0.002251 s: topological_space.opens.le_def 0.000131 s: set.le_eq_subset 0.005245 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_23 0.004667 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_24 0.009095 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_25 0.008829 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_26 0.006620 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_open_embedding.equations._eqn_1 0.005306 s: Top.presheaf.sheaf_condition_equalizer_products.fork_π_app_walking_parallel_pair_zero 0.001990 s: Top.presheaf.sheaf_condition_equalizer_products.res.equations._eqn_1 0.006962 s: category_theory.nat_iso.of_components.equations._eqn_1 0.005355 s: category_theory.nat_iso.of_components.inv_app 0.001042 s: category_theory.functor.map_iso_inv 0.001597 s: category_theory.discrete.nat_iso_inv_app 0.002466 s: category_theory.functor.op_map 0.000306 s: quiver.hom.unop_op 0.276811 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding._proof_27 0.032375 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding 0.005946 s: submonoid.localization_map 0.000268 s: monoid_hom.to_localization_map._proof_1 0.000255 s: monoid_hom.to_localization_map._proof_2 0.002112 s: monoid_hom.to_localization_map 0.000044 s: additive.linear_order 0.000447 s: additive.linear_ordered_add_comm_monoid._proof_5 0.000503 s: normed_linear_ordered_field.to_linear_ordered_field 0.000196 s: normed_linear_ordered_field.to_metric_space 0.001321 s: normed_linear_ordered_field.dist_eq 0.000781 s: normed_linear_ordered_field.norm_mul' 0.155415 s: normed_linear_ordered_field.to_normed_field 0.000112 s: is_open.equations._eqn_1 0.000182 s: measure_theory.outer_measure.mk_metric'.pre 0.000271 s: measure_theory.outer_measure.mk_metric' 0.016192 s: mem_nhds_within_Iio_iff_exists_Ioo_subset' 0.005957 s: map_coe_at_top_of_Ioo_subset 0.021142 s: map_coe_at_bot_of_Ioo_subset 0.004326 s: map_coe_Ioi_at_bot 0.000301 s: measure_theory.outer_measure.mk_metric'.equations._eqn_1 0.003325 s: measure_theory.outer_measure.Sup_apply 0.004368 s: measure_theory.outer_measure.supr_apply 0.000754 s: monotone.order_dual 0.059930 s: tendsto_at_bot_cinfi 0.036056 s: tendsto_at_bot_csupr 0.053461 s: tendsto_at_bot_supr 0.000368 s: measure_theory.outer_measure.mk_metric'.pre.equations._eqn_1 0.014253 s: measure_theory.outer_measure.mk_metric'.le_pre 0.007731 s: measure_theory.outer_measure.mk_metric'.pre_le 0.000536 s: measure_theory.outer_measure.mk_metric'.mono_pre 0.015644 s: measure_theory.outer_measure.mk_metric'.tendsto_pre 0.003903 s: measure_theory.outer_measure.mk_metric'.tendsto_pre_nat 0.001480 s: sub_right_injective 0.000131 s: quadratic_form.polar 0.004553 s: quadratic_form 0.001727 s: quadratic_form.to_fun 0.000244 s: quadratic_form.has_coe_to_fun 0.003928 s: quadratic_form.isometry 0.001255 s: quadratic_form.isometry.to_linear_equiv 0.000592 s: quadratic_form.isometry.linear_equiv.has_coe 0.000860 s: quadratic_form.isometry.has_coe_to_fun 0.001468 s: quadratic_form.isometry.map_app' 0.002061 s: quadratic_form.isometry.map_app 0.008715 s: quadratic_form.isometry.trans._proof_5 0.000670 s: measure_theory.has_finite_integral 0.000190 s: measure_theory.integrable 0.000905 s: measure_theory.simple_func.integral 0.000730 s: measure_theory.simple_func.integral.equations._eqn_1 0.034136 s: ennreal.to_real_sum 0.062179 s: measure_theory.measure.cofinite._proof_1 0.009824 s: measure_theory.measure.cofinite._proof_2 0.005885 s: measure_theory.measure.cofinite._proof_3 0.002467 s: measure_theory.measure.cofinite 0.000282 s: measure_theory.simple_func.fin_meas_supp 0.005428 s: measure_theory.simple_func.fin_meas_supp_iff_support 0.002123 s: measure_theory.simple_func.support_eq 0.000726 s: measure_theory.measure_Union_le 0.001331 s: measure_theory.measure_bUnion_le 0.002425 s: measure_theory.measure_bUnion_finset_le 0.004960 s: measure_theory.simple_func.fin_meas_supp_iff 0.000911 s: measure_theory.simple_func.fin_meas_supp.meas_preimage_singleton_ne_zero 0.000301 s: measure_theory.simple_func.ae_measurable 0.029573 s: measure_theory.simple_func.fin_meas_supp.lintegral_lt_top 0.000321 s: set.preimage_singleton_eq_empty 0.004413 s: measure_theory.simple_func.preimage_eq_empty_iff 0.055572 s: measure_theory.simple_func.fin_meas_supp.of_lintegral_lt_top 0.008215 s: measure_theory.simple_func.fin_meas_supp.iff_lintegral_lt_top 0.000609 s: function.support_subset_comp 0.008024 s: measure_theory.simple_func.fin_meas_supp.of_map 0.001016 s: function.support_comp_subset 0.005375 s: measure_theory.simple_func.fin_meas_supp.map 0.000876 s: measure_theory.simple_func.fin_meas_supp.map_iff 0.000480 s: coe_nnnorm 0.000848 s: nnnorm_eq_zero 0.002287 s: measure_theory.simple_func.integrable_iff_fin_meas_supp 0.089231 s: measure_theory.simple_func.map_integral 0.024562 s: ennreal.to_real_hom 0.006638 s: ennreal.to_real_mul 0.129456 s: measure_theory.simple_func.integral_eq_lintegral' 0.000152 s: function.support.equations._eqn_1 0.016790 s: function.support_prod_mk 0.013582 s: measure_theory.simple_func.fin_meas_supp.pair 0.005248 s: measure_theory.simple_func.integrable_pair 0.000775 s: ae_measurable.congr 0.000584 s: measure_theory.has_finite_integral.equations._eqn_1 0.000188 s: of_real_norm_eq_coe_nnnorm 0.001191 s: measure_theory.has_finite_integral_iff_norm 0.000868 s: measure_theory.has_finite_integral.mono 0.000727 s: measure_theory.has_finite_integral.congr' 0.000464 s: measure_theory.has_finite_integral.congr 0.000359 s: measure_theory.integrable.congr 0.000340 s: prod.fst_zero 0.000222 s: prod.snd_zero 0.001131 s: measure_theory.simple_func.pair_apply 0.071269 s: measure_theory.simple_func.integral_congr 0.070523 s: measure_theory.simple_func.integral_eq_lintegral 0.000357 s: random_gen 0.000365 s: state_t 0.000021 s: state 0.000021 s: rand_g 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_private.3409934427.good._main.equations._eqn_1 0.000079 s: _private.3409934427.good.equations._eqn_1 0.000064 s: _private.3409934427.good._main.equations._eqn_2 0.000122 s: _private.3409934427.good.equations._eqn_2 0.000762 s: _private.319697073.decidable_good._main 0.000081 s: _private.319697073.decidable_good 0.000334 s: encodable.choose_x._proof_1 0.000794 s: encodable.choose_x._match_3 0.000325 s: encodable.choose_x 0.000103 s: encodable.choose 0.000274 s: quotient.rep 0.000289 s: quotient.rep.equations._eqn_1 0.005465 s: tactic.itauto.proof 0.000064 s: string.length._main 0.000010 s: string.length 0.000033 s: string.has_sizeof 0.000091 s: name.sizeof 0.000012 s: name.has_sizeof_inst 0.000046 s: tactic.itauto.and_kind.sizeof 0.000012 s: tactic.itauto.and_kind.has_sizeof_inst 0.000206 s: tactic.itauto.proof.sizeof 0.000044 s: tactic.itauto.proof.triv.sizeof_spec 0.002191 s: vm_obj_kind 0.000157 s: vm_obj_kind.cases_on 0.000190 s: vm_obj_kind.no_confusion_type 0.001243 s: 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category_theory.category_of_elements.from_structured_arrow._proof_2 0.010329 s: category_theory.category_of_elements.from_structured_arrow._proof_3 0.008926 s: category_theory.category_of_elements.from_structured_arrow 0.000869 s: category_theory.structured_arrow.mk 0.000059 s: punit.ext 0.000351 s: category_theory.structured_arrow.hom_mk._proof_1 0.003411 s: category_theory.structured_arrow.hom_mk._proof_2 0.004644 s: category_theory.structured_arrow.hom_mk 0.006030 s: category_theory.category_of_elements.to_structured_arrow._proof_1 0.011069 s: category_theory.category_of_elements.to_structured_arrow._proof_2 0.012210 s: category_theory.category_of_elements.to_structured_arrow._proof_3 0.012251 s: category_theory.category_of_elements.to_structured_arrow 0.000060 s: category_theory.discrete.subsingleton 0.010561 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_4 0.004264 s: sesq_form 0.001233 s: sesq_form.sesq 0.000237 s: sesq_form.has_coe_to_fun 0.007113 s: linear_map.lcomp._proof_2 0.001229 s: function.injective.comm_monoid._proof_1 0.000358 s: function.injective.comm_monoid._proof_2 0.000301 s: function.injective.comm_monoid._proof_3 0.000456 s: function.injective.comm_monoid._proof_4 0.000514 s: function.injective.comm_monoid._proof_5 0.000843 s: function.injective.comm_monoid._proof_6 0.002225 s: function.injective.comm_monoid 0.000628 s: function.injective.ordered_comm_monoid._proof_1 0.000380 s: function.injective.ordered_comm_monoid._proof_2 0.000262 s: function.injective.ordered_comm_monoid._proof_3 0.000442 s: function.injective.ordered_comm_monoid._proof_4 0.000424 s: function.injective.ordered_comm_monoid._proof_5 0.000459 s: function.injective.ordered_comm_monoid._proof_6 0.000175 s: function.injective.ordered_comm_monoid._proof_7 0.000230 s: function.injective.ordered_comm_monoid._proof_8 0.000205 s: function.injective.ordered_comm_monoid._proof_9 0.000497 s: function.injective.ordered_comm_monoid._proof_10 0.002607 s: function.injective.ordered_comm_monoid._proof_11 0.004648 s: function.injective.ordered_comm_monoid._proof_12 0.005742 s: function.injective.ordered_comm_monoid 0.009674 s: function.injective.ordered_cancel_comm_monoid._proof_5 0.000824 s: magma.free_semigroup.r 0.000026 s: magma.free_semigroup 0.000065 s: magma.free_semigroup.of 0.000069 s: magma.free_semigroup.inhabited 0.000101 s: magma.free_semigroup.inhabited.equations._eqn_1 0.000173 s: set.not_nonempty_empty 0.005688 s: is_locally_constant.apply_eq_of_is_preconnected 0.000106 s: set.singleton_add_hom._proof_1 0.000111 s: list.split_wrt_composition_aux._match_1 0.000237 s: discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization 0.000262 s: coe_base_aux.equations._eqn_1 0.002382 s: polynomial.dickson._main 0.000049 s: polynomial.dickson 0.004863 s: polynomial.dickson._main.equations._eqn_3 0.000877 s: polynomial.dickson.equations._eqn_3 0.001282 s: polynomial.dickson_add_two 0.000246 s: category_theory.has_shift 0.004324 s: category_theory.equivalence.refl._proof_1 0.002678 s: category_theory.equivalence.refl 0.003541 s: category_theory.equivalence.unit_iso 0.001084 s: category_theory.whiskering_left._proof_1 0.001140 s: category_theory.whiskering_left._proof_2 0.000819 s: category_theory.whiskering_left._proof_3 0.000955 s: category_theory.whiskering_left._proof_4 0.000706 s: category_theory.whiskering_left._proof_5 0.000796 s: category_theory.whiskering_left._proof_6 0.032856 s: category_theory.whiskering_left._proof_7 0.056310 s: category_theory.whiskering_left._proof_8 0.106893 s: category_theory.whiskering_left._proof_9 0.288974 s: category_theory.whiskering_left._proof_10 0.063284 s: category_theory.whiskering_left 0.008424 s: category_theory.iso_whisker_left 0.007117 s: category_theory.whiskering_right._proof_1 0.006724 s: category_theory.whiskering_right._proof_2 0.003451 s: category_theory.whiskering_right._proof_3 0.004639 s: category_theory.whiskering_right._proof_4 0.003329 s: category_theory.whiskering_right._proof_5 0.005674 s: category_theory.whiskering_right._proof_6 0.024178 s: category_theory.whiskering_right._proof_7 0.058329 s: category_theory.whiskering_right._proof_8 0.082113 s: category_theory.whiskering_right._proof_9 0.089382 s: category_theory.whiskering_right._proof_10 0.101736 s: category_theory.whiskering_right 0.010844 s: category_theory.iso_whisker_right 0.000461 s: category_theory.equivalence.counit_inv 0.000471 s: category_theory.equivalence.unit 0.002101 s: category_theory.iso.eq_comp_inv 0.002352 s: category_theory.iso.comp_hom_eq_id 0.000656 s: category_theory.equivalence.counit 0.007733 s: category_theory.equivalence.functor_unit_iso_comp 0.004659 s: category_theory.equivalence.functor_unit_comp 0.009420 s: category_theory.equivalence.counit_inv_app_functor 0.003041 s: category_theory.nat_iso.naturality_2 0.004077 s: category_theory.equivalence.fun_inv_map 0.002500 s: category_theory.iso.inv_hom_id_app 0.002299 s: category_theory.iso.inv_hom_id_app_assoc 0.000688 s: category_theory.equivalence.unit_inv 0.000836 s: category_theory.iso.hom_comp_eq_id 0.010179 s: category_theory.equivalence.counit_app_functor 0.002560 s: category_theory.iso.hom_inv_id_app 0.107177 s: category_theory.equivalence.trans._proof_1 0.061297 s: category_theory.equivalence.trans 0.000103 s: int.of_nat.sizeof_spec 0.007333 s: bit0_lt_bit0 0.000065 s: nat.succ_le_iff 0.000373 s: nat.bit1_eq_succ_bit0 0.006167 s: nat.bit1_le_bit0_iff 0.003129 s: nat.bit1_lt_bit0_iff 0.001220 s: nat.one_lt_bit0_iff 0.004841 s: pow._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001169 s: category_theory.iso.inv_eq_inv 0.010255 s: category_theory.equivalence.counit_inv_functor_comp 0.125003 s: category_theory.equivalence.unit_inverse_comp 0.015814 s: category_theory.equivalence.inverse_counit_inv_comp 0.002529 s: category_theory.equivalence.symm 0.000095 s: int.neg_succ_of_nat.sizeof_spec 0.006509 s: pow._main._pack._wf_rec_mk_dec_tactic._aux_2 0.001516 s: category_theory.equivalence.pow._main._pack 0.000140 s: category_theory.equivalence.pow._main 0.000059 s: category_theory.equivalence.pow 0.000058 s: category_theory.equivalence.int.has_pow 0.000101 s: category_theory.has_shift.shift 0.000071 s: category_theory.shift 0.002889 s: category_theory.differential_object 0.001088 s: category_theory.differential_object.X 0.001137 s: category_theory.differential_object.d 0.002616 s: category_theory.differential_object.hom 0.003431 s: category_theory.differential_object.hom.id._proof_1 0.000291 s: category_theory.differential_object.hom.id 0.000794 s: category_theory.differential_object.hom.f 0.002135 s: category_theory.differential_object.hom.comm 0.002597 s: category_theory.differential_object.hom.comm_assoc 0.005850 s: category_theory.differential_object.hom.comp._proof_1 0.001161 s: category_theory.differential_object.hom.comp 0.001585 s: category_theory.differential_object.hom.cases_on 0.001842 s: category_theory.differential_object.hom.ext 0.002403 s: category_theory.differential_object.category_of_differential_objects._proof_1 0.002238 s: category_theory.differential_object.category_of_differential_objects._proof_2 0.002934 s: category_theory.differential_object.category_of_differential_objects._proof_3 0.001361 s: category_theory.differential_object.category_of_differential_objects 0.002561 s: category_theory.differential_object.d_squared 0.000408 s: category_theory.functor.as_equivalence_functor 0.000106 s: category_theory.functor.inv 0.002405 s: category_theory.nat_iso.naturality_1 0.007629 s: category_theory.is_equivalence.inv_fun_map 0.002526 s: category_theory.nat_iso.is_iso_app_of_is_iso 0.004759 s: category_theory.equivalence.faithful_of_equivalence 0.008505 s: category_theory.equivalence.functor_unit_iso_comp' 0.000736 s: category_theory.is_equivalence.of_equivalence 0.000442 s: category_theory.is_equivalence.of_equivalence_inverse 0.005187 s: category_theory.equivalence.inv_fun_map 0.005581 s: category_theory.limits.equivalence_preserves_zero_morphisms 0.001346 s: category_theory.limits.is_equivalence_preserves_zero_morphisms 0.003498 s: category_theory.differential_object.shift_functor._proof_1 0.002917 s: category_theory.differential_object.shift_functor._proof_2 0.003549 s: category_theory.differential_object.shift_functor._proof_3 0.011344 s: category_theory.differential_object.shift_functor._proof_4 0.024712 s: category_theory.differential_object.shift_functor._proof_5 0.052322 s: category_theory.differential_object.shift_functor._proof_6 0.011372 s: category_theory.differential_object.shift_functor 0.018457 s: category_theory.differential_object.shift_inverse_obj._proof_1 0.006831 s: category_theory.differential_object.shift_inverse_obj 0.012065 s: category_theory.differential_object.shift_inverse._proof_1 0.027935 s: category_theory.differential_object.shift_inverse._proof_2 0.073501 s: category_theory.differential_object.shift_inverse._proof_3 0.010344 s: category_theory.differential_object.shift_inverse 0.000767 s: category_theory.functor.id_map 0.017607 s: category_theory.differential_object.shift_unit._proof_1 0.004346 s: category_theory.iso.hom_inv_id_app_assoc 0.002750 s: category_theory.equivalence.cancel_unit_right 0.071784 s: category_theory.differential_object.shift_unit._proof_2 0.014127 s: category_theory.differential_object.shift_unit 0.002677 s: linear_pmap 0.001667 s: linear_pmap.domain 0.001576 s: linear_pmap.to_fun 0.001384 s: linear_pmap.has_coe_to_fun 0.001151 s: linear_pmap.has_le 0.002123 s: submodule.of_le._match_1 0.001316 s: submodule.of_le._proof_1 0.001115 s: submodule.of_le 0.003754 s: linear_pmap.semilattice_inf_bot._match_1 0.005432 s: linear_pmap.semilattice_inf_bot._match_1.equations._eqn_1 0.000456 s: set.Ici.order_top._proof_1 0.000400 s: set.Ici.order_top._proof_2 0.000733 s: set.Ici.order_top._proof_3 0.000528 s: set.Ici.order_top._proof_4 0.000525 s: subtype.mk_le_mk 0.004210 s: set.Ici.order_top._match_1 0.000807 s: set.Ici.order_top._proof_5 0.002118 s: set.Ici.order_top 0.005106 s: is_coatom.of_is_coatom_coe_Ici 0.011747 s: localization_map 0.000459 s: non_zero_divisors._proof_1 0.000910 s: non_zero_divisors._proof_2 0.000314 s: non_zero_divisors 0.000198 s: fraction_map 0.000159 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_1 0.000113 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_2 0.000059 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_3 0.000469 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_4 0.000235 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_5 0.000425 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_6 0.000526 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_7 0.000145 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_8 0.000070 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_9 0.000077 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_10 0.000086 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_11 0.000265 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_12 0.000163 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_13 0.000083 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_14 0.000206 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_15 0.000284 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_16 0.003480 s: localization_map.to_fun 0.003225 s: localization_map.map_one' 0.002856 s: localization_map.map_mul' 0.002967 s: localization_map.map_zero' 0.003684 s: localization_map.map_add' 0.000776 s: localization_map.to_ring_hom 0.000156 s: localization_map.to_map 0.004385 s: localization_map.eq_iff_exists' 0.003625 s: localization_map.eq_iff_exists 0.004069 s: localization_map.injective 0.066293 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_17 0.010403 s: localization_map.surj' 0.005112 s: localization_map.surj 0.003306 s: localization_map.to_map_eq_zero_iff 0.001020 s: units.mul_left_eq_zero 0.000414 s: is_unit.mul_left_eq_zero 0.004038 s: localization_map.map_units' 0.008344 s: localization_map.map_units 0.006156 s: localization_map.eq_zero_of_fst_eq_zero 0.076259 s: localization_map.integral_domain_of_le_non_zero_divisors._proof_18 0.074580 s: localization_map.integral_domain_of_le_non_zero_divisors 0.069824 s: fraction_map.to_integral_domain._proof_1 0.038228 s: fraction_map.to_integral_domain 0.004704 s: submonoid.localization_map.to_fun 0.001899 s: submonoid.localization_map.map_one' 0.001468 s: submonoid.localization_map.map_mul' 0.000389 s: submonoid.localization_map.to_monoid_hom 0.000174 s: submonoid.localization_map.to_map 0.002046 s: units.lift_right._proof_1 0.002043 s: units.lift_right._proof_2 0.000929 s: units.lift_right 0.000964 s: is_unit.lift_right._proof_1 0.000925 s: is_unit.lift_right 0.000464 s: monoid_hom.mrestrict 0.001820 s: submonoid.localization_map.map_units' 0.001311 s: submonoid.localization_map.map_units 0.002749 s: submonoid.localization_map.mk' 0.007753 s: localization_map.to_localization_map 0.002848 s: localization_map.mk' 0.002220 s: submonoid.localization_map.surj' 0.001244 s: submonoid.localization_map.surj 0.000613 s: submonoid.localization_map.sec 0.000288 s: eq_zero_of_ne_zero_of_mul_right_eq_zero 0.002869 s: mem_non_zero_divisors_iff_ne_zero 0.010058 s: localization_map.sec_spec 0.044022 s: fraction_map.inv._proof_1 0.115702 s: fraction_map.to_field._proof_24 0.014912 s: category_theory.preadditive 0.001789 s: category_theory.triangulated.triangle 0.000235 s: category_theory.triangulated.triangle.obj₁ 0.000241 s: category_theory.triangulated.triangle.obj₂ 0.000311 s: category_theory.triangulated.triangle.obj₃ 0.000454 s: category_theory.triangulated.triangle.mor₁ 0.000531 s: category_theory.triangulated.triangle.mor₂ 0.000664 s: category_theory.triangulated.triangle.mor₃ 0.003736 s: category_theory.triangulated.triangle_morphism 0.000681 s: category_theory.triangulated.triangle_morphism_id._proof_1 0.000660 s: category_theory.triangulated.triangle_morphism_id._proof_2 0.002818 s: category_theory.triangulated.triangle_morphism_id._proof_3 0.000566 s: category_theory.triangulated.triangle_morphism_id 0.001548 s: category_theory.triangulated.triangle_morphism.hom₁ 0.000914 s: category_theory.triangulated.triangle_morphism.hom₂ 0.000750 s: category_theory.triangulated.triangle_morphism.hom₃ 0.001369 s: category_theory.triangulated.triangle_morphism.comm₁ 0.001079 s: category_theory.triangulated.triangle_morphism.comm₁_assoc 0.001312 s: category_theory.triangulated.triangle_morphism.comp._proof_1 0.001344 s: category_theory.triangulated.triangle_morphism.comm₂ 0.001023 s: category_theory.triangulated.triangle_morphism.comm₂_assoc 0.001144 s: category_theory.triangulated.triangle_morphism.comp._proof_2 0.002397 s: category_theory.triangulated.triangle_morphism.comm₃ 0.002237 s: category_theory.triangulated.triangle_morphism.comm₃_assoc 0.004522 s: category_theory.triangulated.triangle_morphism.comp._proof_3 0.001236 s: category_theory.triangulated.triangle_morphism.comp 0.001838 s: category_theory.triangulated.triangle_morphism.cases_on 0.006235 s: category_theory.triangulated.triangle_morphism.ext 0.004409 s: category_theory.triangulated.triangle_category._proof_1 0.003345 s: category_theory.triangulated.triangle_category._proof_2 0.006106 s: category_theory.triangulated.triangle_category._proof_3 0.001067 s: category_theory.triangulated.triangle_category 0.000646 s: category_theory.triangulated.triangle.mk 0.000942 s: category_theory.preadditive.hom_group 0.003542 s: category_theory.triangulated.triangle.inv_rotate 0.001467 s: category_theory.preadditive.comp_add 0.002117 s: category_theory.preadditive.left_comp._proof_1 0.000480 s: category_theory.preadditive.left_comp 0.000957 s: category_theory.preadditive.comp_neg 0.001443 s: category_theory.preadditive.add_comp 0.001817 s: category_theory.preadditive.right_comp._proof_1 0.000463 s: category_theory.preadditive.right_comp 0.000763 s: category_theory.preadditive.neg_comp 0.012899 s: category_theory.triangulated.triangle_morphism.inv_rotate._proof_1 0.003618 s: category_theory.triangulated.triangle_morphism.inv_rotate._proof_2 0.002643 s: category_theory.equivalence.cancel_counit_inv_right_assoc 0.009534 s: category_theory.triangulated.triangle_morphism.inv_rotate._proof_3 0.003495 s: category_theory.triangulated.triangle_morphism.inv_rotate 0.005424 s: category_theory.triangulated.inv_rotate._proof_1 0.007495 s: category_theory.triangulated.inv_rotate._proof_2 0.001001 s: category_theory.triangulated.inv_rotate 0.002455 s: category_theory.triangulated.inv_rotate_map 0.000208 s: doc_category 0.000278 s: tactic_doc_entry 0.000398 s: tactic_doc._2041528248 0.000060 s: is_clopen 0.000340 s: is_clopen_inter 0.000351 s: is_clopen_compl 0.001731 s: is_clopen_diff 0.000033 s: list.Ico 0.000053 s: multiset.Ico 0.000082 s: list.Ico.nodup 0.000303 s: multiset.Ico.nodup 0.000036 s: finset.Ico 0.001313 s: fintype.pi_finset._proof_1 0.001146 s: list.perm.rec_heq 0.002538 s: multiset.rec._proof_1 0.000813 s: multiset.rec 0.000378 s: multiset.rec_on 0.000654 s: multiset.pi.empty._main 0.000184 s: multiset.pi.empty 0.000137 s: multiset.pi.cons._proof_1 0.000369 s: multiset.pi.cons 0.002624 s: multiset.zero_bind 0.001810 s: multiset.cons_bind 0.003005 s: multiset.map_bind 0.000107 s: multiset.join.equations._eqn_1 0.004880 s: multiset.sum_repeat 0.005886 s: multiset.bind_zero 0.002402 s: multiset.sum_map_add 0.002029 s: multiset.bind_add 0.003116 s: multiset.bind_bind 0.000772 s: multiset.bind_congr 0.000907 s: multiset.bind_hcongr 0.000860 s: multiset.map_hcongr 0.000602 s: multiset.pi.cons_ne 0.000464 s: multiset.pi.cons_same 0.005422 s: multiset.pi.cons_swap 0.004743 s: multiset.pi._proof_1 0.000858 s: multiset.pi 0.000121 s: multiset.pairwise 0.000104 s: multiset.disjoint 0.002152 s: multiset.rec_on_cons 0.002364 s: multiset.pi_cons 0.001066 s: multiset.coe_disjoint 0.001357 s: multiset.pairwise_coe_iff_pairwise 0.000119 s: list.disjoint.symm 0.004613 s: multiset.nodup_bind 0.002019 s: multiset.pi_cons_injective 0.001252 s: multiset.pairwise_of_nodup 0.000087 s: multiset.disjoint.equations._eqn_1 0.001782 s: multiset.disjoint_map_map 0.004182 s: multiset.nodup_pi 0.000384 s: finset.pi._proof_1 0.000408 s: finset.pi 0.000409 s: fintype.pi_finset 0.000195 s: formal_multilinear_series.comp_partial_sum_source 0.001342 s: list.of_fn_aux._main 0.000052 s: list.of_fn_aux 0.000041 s: list.of_fn._proof_1 0.000159 s: list.of_fn 0.002778 s: list.length_of_fn_aux 0.005074 s: list.length_of_fn 0.000652 s: list.mem_iff_nth_le 0.000089 s: list.of_fn_nth_val 0.000138 s: list.of_fn_nth_val.equations._eqn_1 0.006154 s: list.nth_of_fn_aux 0.001610 s: list.nth_of_fn 0.001783 s: list.nth_le_of_fn 0.000423 s: list.nth_le_of_fn' 0.002917 s: list.mem_of_fn 0.000309 s: formal_multilinear_series.comp_partial_sum_source.equations._eqn_1 0.000127 s: list.Ico.equations._eqn_1 0.006736 s: list.Ico.mem 0.000831 s: multiset.Ico.mem 0.000608 s: finset.Ico.mem 0.000436 s: fintype.pi_finset.equations._eqn_1 0.001542 s: multiset.pi_zero 0.006954 s: multiset.mem_pi 0.003436 s: finset.mem_pi 0.004289 s: fintype.mem_pi_finset 0.001625 s: formal_multilinear_series.mem_comp_partial_sum_source_iff 0.001149 s: formal_multilinear_series.comp_change_of_variables._proof_1 0.000580 s: category_theory.preadditive.preadditive_has_zero_morphisms._proof_1 0.000438 s: category_theory.preadditive.preadditive_has_zero_morphisms._proof_2 0.001294 s: category_theory.preadditive.preadditive_has_zero_morphisms 0.003252 s: category_theory.functor.additive 0.001132 s: category_theory.functor.additive.map_add' 0.001671 s: category_theory.limits.mono_factorisation 0.000437 s: category_theory.limits.mono_factorisation.I 0.000673 s: category_theory.limits.mono_factorisation.m 0.002312 s: category_theory.limits.is_image 0.001032 s: category_theory.limits.image_factorisation 0.000647 s: category_theory.limits.has_image 0.000576 s: category_theory.limits.has_images 0.001443 s: category_theory.costructured_arrow.mk 0.000377 s: category_theory.over.mk 0.001830 s: category_theory.mono_over.mk' 0.000240 s: category_theory.limits.image_factorisation.F 0.000238 s: category_theory.limits.has_image.exists_image 0.000250 s: category_theory.limits.image.mono_factorisation 0.000131 s: category_theory.limits.image 0.000224 s: category_theory.limits.image.ι 0.000990 s: category_theory.limits.mono_factorisation.m_mono 0.000559 s: category_theory.limits.image.ι.category_theory.mono 0.000269 s: category_theory.mono_over.image_mono_over 0.000188 s: category_theory.limits.has_images.has_image 0.001204 s: category_theory.mono_over.image._proof_1 0.002308 s: category_theory.full 0.000567 s: category_theory.full.preimage 0.000200 s: category_theory.functor.preimage 0.001723 s: category_theory.induced_category.full._proof_1 0.001187 s: category_theory.induced_category.full 0.000334 s: category_theory.full_subcategory.full 0.001062 s: category_theory.mono_over.forget.category_theory.full 0.000927 s: category_theory.mono_over.image._proof_2 0.000831 s: category_theory.mono_over.image._proof_3 0.000288 s: category_theory.costructured_arrow.hom_mk._proof_1 0.001125 s: category_theory.eq_to_hom_map 0.003527 s: category_theory.costructured_arrow.hom_mk._proof_2 0.005155 s: category_theory.costructured_arrow.hom_mk 0.003771 s: category_theory.over.hom_mk 0.000764 s: category_theory.limits.is_image.lift 0.000521 s: category_theory.limits.image_factorisation.is_image 0.000392 s: category_theory.limits.image.is_image 0.000401 s: category_theory.limits.image.lift 0.001002 s: category_theory.mono_over.image._proof_4 0.000688 s: category_theory.mono_over.image._proof_5 0.000793 s: category_theory.mono_over.image._proof_6 0.000832 s: category_theory.mono_over.image._proof_7 0.000564 s: category_theory.limits.mono_factorisation.e 0.000317 s: category_theory.limits.factor_thru_image 0.000747 s: category_theory.mono_over.image._proof_8 0.000837 s: category_theory.limits.mono_factorisation.fac' 0.000384 s: category_theory.limits.image.fac 0.010397 s: category_theory.mono_over.image._proof_9 0.001699 s: category_theory.limits.is_image.lift_fac' 0.001692 s: category_theory.limits.image.lift_fac 0.019338 s: category_theory.mono_over.image._proof_10 0.020649 s: category_theory.mono_over.image._proof_11 0.032062 s: category_theory.mono_over.image._proof_12 0.015152 s: category_theory.mono_over.image 0.006557 s: category_theory.adjunction.core_hom_equiv 0.001781 s: category_theory.adjunction.core_hom_equiv.hom_equiv 0.002577 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left_symm 0.002144 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left 0.002462 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right 0.006921 s: category_theory.adjunction.mk_of_hom_equiv._proof_1 0.002070 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm 0.006202 s: category_theory.adjunction.mk_of_hom_equiv._proof_2 0.016498 s: category_theory.adjunction.mk_of_hom_equiv._proof_3 0.014987 s: category_theory.adjunction.mk_of_hom_equiv._proof_4 0.008276 s: category_theory.adjunction.mk_of_hom_equiv 0.013350 s: category_theory.mono_over.image_forget_adj._proof_1 0.001188 s: category_theory.mono_over.image_forget_adj._proof_2 0.003681 s: category_theory.mono_over.image_forget_adj._proof_3 0.010062 s: category_theory.mono_over.image_forget_adj._proof_4 0.021493 s: category_theory.mono_over.image_forget_adj._proof_5 0.029704 s: category_theory.mono_over.image_forget_adj._proof_6 0.055598 s: category_theory.mono_over.image_forget_adj._proof_7 0.110469 s: category_theory.mono_over.image_forget_adj._proof_8 0.029137 s: category_theory.mono_over.image_forget_adj 0.008343 s: category_theory.nat_iso.is_iso_of_is_iso_app 0.000546 s: quiver.hom.op_inj 0.004369 s: category_theory.is_iso_of_op 0.001336 s: category_theory.coyoneda._proof_1 0.001649 s: category_theory.coyoneda._proof_2 0.000721 s: category_theory.coyoneda._proof_3 0.000994 s: category_theory.coyoneda._proof_4 0.000559 s: category_theory.coyoneda._proof_5 0.000897 s: category_theory.coyoneda._proof_6 0.010939 s: category_theory.coyoneda._proof_7 0.020037 s: category_theory.coyoneda._proof_8 0.031846 s: category_theory.coyoneda._proof_9 0.014289 s: category_theory.coyoneda 0.001735 s: category_theory.functor.preimage.equations._eqn_1 0.001705 s: category_theory.full.witness 0.001179 s: category_theory.functor.image_preimage 0.002306 s: category_theory.is_iso_of_fully_faithful 0.002352 s: category_theory.functor_to_types.naturality 0.003476 s: category_theory.coyoneda.naturality 0.008498 s: category_theory.coyoneda.coyoneda_full._proof_1 0.002000 s: category_theory.coyoneda.coyoneda_full 0.001290 s: category_theory.nat_trans.no_confusion_type 0.001209 s: category_theory.nat_trans.no_confusion 0.002075 s: category_theory.nat_trans.mk.inj 0.001519 s: category_theory.nat_trans.mk.inj_arrow 0.008363 s: category_theory.coyoneda.coyoneda_faithful 0.001314 s: category_theory.coyoneda.is_iso 0.001410 s: category_theory.preimage_comp 0.001497 s: category_theory.preimage_map 0.003372 s: category_theory.adjunction.hom_equiv_naturality_right 0.034382 s: category_theory.adjunction.right_triangle 0.026540 s: category_theory.adjunction.right_triangle_components 0.039887 s: category_theory.counit_is_iso_of_R_fully_faithful 0.001742 s: category_theory.induced_category.faithful 0.000291 s: category_theory.full_subcategory.faithful 0.004828 s: category_theory.mono_over.forget.category_theory.faithful 0.003083 s: category_theory.mono_over.forget_image._proof_1 0.000077 s: computation 0.000034 s: stream.any 0.000033 s: stream.mem 0.000046 s: stream.has_mem 0.000273 s: computation.mem 0.000083 s: computation.has_mem 0.000350 s: computation.terminates 0.000069 s: stream.cons._match_1 0.000029 s: stream.cons 0.001326 s: computation.think._proof_1 0.000196 s: computation.think 0.000245 s: computation.thinkN._main 0.000025 s: computation.thinkN 0.000161 s: computation.terminates.dcases_on 0.001225 s: computation.of_think_mem 0.000944 s: computation.think_mem 0.002335 s: computation.thinkN_mem 0.000252 s: computation.thinkN_terminates._sunfold 0.000481 s: equiv.as_embedding._proof_1 0.000477 s: equiv.as_embedding 0.000093 s: is_totally_disconnected 0.000386 s: totally_disconnected_space 0.000634 s: Profinite 0.000077 s: Profinite.to_Top 0.000086 s: Profinite.category 0.001528 s: local_equiv 0.000187 s: local_equiv.source 0.000206 s: local_equiv.target 0.000167 s: local_equiv.to_fun 0.000178 s: local_equiv.inv_fun 0.008260 s: local_homeomorph 0.000311 s: local_homeomorph.to_local_equiv 0.000131 s: local_homeomorph.has_coe_to_fun 0.003749 s: bundle_trivialization 0.000670 s: local_equiv.map_target' 0.000518 s: local_equiv.map_source' 0.000466 s: local_equiv.right_inv' 0.000425 s: local_equiv.left_inv' 0.000384 s: local_equiv.symm 0.000246 s: local_homeomorph.symm._proof_1 0.000174 s: local_homeomorph.symm._proof_2 0.000222 s: local_homeomorph.symm._proof_3 0.000148 s: local_homeomorph.symm._proof_4 0.000346 s: local_homeomorph.open_target 0.000254 s: local_homeomorph.open_source 0.000307 s: local_homeomorph.continuous_inv_fun 0.000288 s: local_homeomorph.continuous_to_fun 0.001900 s: local_homeomorph.symm 0.000220 s: local_homeomorph.is_image 0.000043 s: local_equiv.has_coe_to_fun 0.000114 s: local_equiv.is_image 0.000244 s: local_equiv.map_source 0.000165 s: local_equiv.maps_to 0.000631 s: local_equiv.is_image.maps_to 0.000053 s: set.left_inv_on 0.000035 s: set.right_inv_on 0.000125 s: set.inv_on 0.000217 s: set.left_inv_on.inj_on 0.000359 s: set.left_inv_on.surj_on 0.000144 s: set.right_inv_on.surj_on 0.000583 s: set.inv_on.bij_on 0.000566 s: local_equiv.left_inv 0.000210 s: local_equiv.left_inv_on 0.000445 s: local_equiv.right_inv 0.000201 s: local_equiv.right_inv_on 0.000337 s: local_equiv.inv_on 0.000356 s: local_equiv.symm_maps_to 0.000286 s: local_equiv.bij_on 0.000199 s: local_equiv.image_source_eq_target 0.001026 s: local_equiv.is_image.symm_apply_mem_iff 0.000275 s: local_equiv.is_image.symm 0.000556 s: local_equiv.is_image.symm_maps_to 0.000172 s: set.left_inv_on.mono 0.000291 s: local_equiv.is_image.restr._proof_1 0.000138 s: set.right_inv_on.mono 0.000311 s: local_equiv.is_image.restr._proof_2 0.000630 s: local_equiv.is_image.restr 0.000376 s: local_homeomorph.is_image.to_local_equiv 0.002539 s: local_homeomorph.is_image.symm 0.001208 s: local_homeomorph.is_image.symm_iff 0.000223 s: local_equiv.is_image.equations._eqn_1 0.000973 s: local_equiv.is_image.iff_preimage_eq 0.000420 s: local_homeomorph.is_image.iff_preimage_eq 0.001361 s: local_homeomorph.is_image.iff_symm_preimage_eq 0.002227 s: set.left_inv_on.image_inter' 0.001813 s: set.left_inv_on.image_inter 0.001276 s: local_equiv.image_source_inter_eq 0.006284 s: local_homeomorph.image_source_inter_eq 0.001703 s: local_equiv.image_source_inter_eq' 0.003079 s: local_homeomorph.image_source_inter_eq' 0.001553 s: local_homeomorph.is_image.iff_symm_preimage_eq' 0.000778 s: local_homeomorph.is_image.symm_preimage_eq' 0.003229 s: continuous_on_iff' 0.000256 s: set.inter_self 0.001273 s: continuous_on_open_iff 0.000188 s: continuous_on.preimage_open_of_open 0.000405 s: local_homeomorph.continuous_on 0.000374 s: local_homeomorph.preimage_open_of_open 0.001935 s: local_homeomorph.is_image.iff_preimage_eq' 0.000545 s: local_homeomorph.is_image.preimage_eq' 0.001145 s: local_homeomorph.is_image.is_open_iff 0.000342 s: local_homeomorph.is_image.restr._proof_1 0.000678 s: local_homeomorph.is_image.restr._proof_2 0.001121 s: local_homeomorph.is_image.restr._proof_3 0.002960 s: local_homeomorph.is_image.restr 0.000880 s: bundle_trivialization.to_local_homeomorph 0.000178 s: bundle_trivialization.has_coe_to_fun 0.000768 s: bundle_trivialization.coe_coe 0.001209 s: bundle_trivialization.proj_to_fun 0.000813 s: bundle_trivialization.coe_fst 0.001779 s: bundle_trivialization.is_image_preimage_prod 0.000735 s: bundle_trivialization.base_set 0.002227 s: local_homeomorph.symm_to_local_equiv 0.000596 s: local_homeomorph.is_image.restr_to_local_equiv 0.000255 s: local_equiv.symm_source 0.000177 s: local_equiv.is_image.restr_target 0.000178 s: local_equiv.symm_target 0.001190 s: bundle_trivialization.source_eq 0.005205 s: bundle_trivialization.restr_open._proof_4 0.011124 s: measure_theory.measure.of_measurable.equations._eqn_1 0.000399 s: open_embedding.dcases_on 0.000082 s: nat.unpaired 0.000031 s: nat.elim 0.002418 s: nat.primrec 0.001457 s: encodable.option._proof_1 0.000221 s: encodable.option 0.000471 s: primcodable 0.000108 s: primcodable.to_encodable 0.000109 s: primrec 0.000156 s: nat.primrec.of_eq 0.000028 s: nat.cases 0.000424 s: nat.primrec.const 0.000341 s: nat.primrec.id 0.000098 s: nat.unpaired.equations._eqn_1 0.001419 s: nat.primrec.prec1 0.000075 s: nat.cases.equations._eqn_1 0.000872 s: nat.primrec.cases1 0.000075 s: nat.cases_zero 0.000058 s: nat.cases_succ 0.000412 s: nat.primrec.pred 0.000171 s: primcodable.prim 0.000135 s: encodable.encode_some 0.002031 s: primrec.comp 0.000648 s: category_theory.differential_object.forget._proof_1 0.000616 s: category_theory.differential_object.forget._proof_2 0.001773 s: category_theory.differential_object.forget 0.002443 s: category_theory.faithful.comp 0.001737 s: category_theory.differential_object.forget_faithful 0.000192 s: function.injective.of_comp 0.001799 s: category_theory.faithful.of_comp 0.000460 s: category_theory.faithful.of_comp_eq 0.000172 s: eq.faithful_of_comp 0.000801 s: category_theory.has_forget₂.forget_comp 0.000710 s: category_theory.forget_faithful 0.000742 s: category_theory.faithful.id 0.000065 s: category_theory.concrete_category.types._proof_1 0.000067 s: category_theory.concrete_category.types 0.003424 s: category_theory.functor.comp_id 0.000430 s: category_theory.has_forget_to_Type._proof_1 0.000416 s: category_theory.has_forget_to_Type 0.001190 s: category_theory.differential_object.concrete_category_of_differential_objects._proof_1 0.000684 s: category_theory.differential_object.concrete_category_of_differential_objects 0.000370 s: category_theory.differential_object.category_theory.has_forget₂._proof_1 0.000940 s: category_theory.differential_object.category_theory.has_forget₂ 0.000754 s: category_theory.differential_object.category_theory.has_forget₂.equations._eqn_1 0.000100 s: set.nonempty.closure 0.023592 s: polynomial.pow_root_multiplicity_dvd 0.021190 s: polynomial.div_by_monic_mul_pow_root_multiplicity_eq 0.000150 s: subsingleton_info 0.000064 s: subsingleton_info.cases_on 0.000102 s: subsingleton_info.no_confusion_type 0.000202 s: subsingleton_info.no_confusion 0.000095 s: subsingleton_info.mk.inj 0.000116 s: subsingleton_info.mk.inj_arrow 0.025918 s: submodule.subtypeₗᵢ._proof_1 0.022285 s: submodule.subtypeₗᵢ 0.032796 s: submodule.coe_subtypeₗᵢ 0.011108 s: submodule.has_scalar'._proof_1 0.006351 s: submodule.has_scalar' 0.000340 s: submodule.add_comm_monoid_submodule._proof_1 0.000285 s: submodule.add_comm_monoid_submodule._proof_2 0.000165 s: submodule.add_comm_monoid_submodule._proof_3 0.000169 s: submodule.add_comm_monoid_submodule._proof_4 0.000219 s: submodule.add_comm_monoid_submodule._proof_5 0.009960 s: submodule.add_comm_monoid_submodule._proof_6 0.010205 s: submodule.add_comm_monoid_submodule._proof_7 0.000218 s: submodule.add_comm_monoid_submodule._proof_8 0.020235 s: submodule.add_comm_monoid_submodule 0.000453 s: submodule.semiring._proof_1 0.000246 s: submodule.semiring._proof_2 0.000254 s: submodule.semiring._proof_3 0.002942 s: submodule.semiring._proof_4 0.000458 s: submodule.semiring._proof_5 0.000286 s: submodule.semiring._proof_6 0.000067 s: module.End 0.000232 s: linear_map.endomorphism_semiring._proof_1 0.000273 s: linear_map.endomorphism_semiring._proof_2 0.000153 s: linear_map.endomorphism_semiring._proof_3 0.000440 s: linear_map.endomorphism_semiring._proof_4 0.000330 s: linear_map.endomorphism_semiring._proof_5 0.000336 s: linear_map.endomorphism_semiring._proof_6 0.000249 s: linear_map.has_mul 0.006835 s: linear_map.endomorphism_semiring._proof_7 0.000110 s: linear_map.has_one 0.005856 s: linear_map.monoid._proof_1 0.000791 s: linear_map.mul_apply 0.000819 s: linear_map.one_apply 0.001553 s: linear_map.monoid._proof_2 0.001444 s: linear_map.monoid._proof_3 0.004341 s: linear_map.monoid._proof_4 0.004145 s: linear_map.monoid._proof_5 0.001798 s: linear_map.monoid 0.002068 s: linear_map.endomorphism_semiring._proof_8 0.002093 s: linear_map.endomorphism_semiring._proof_9 0.003824 s: linear_map.endomorphism_semiring._proof_10 0.004655 s: linear_map.endomorphism_semiring._proof_11 0.002948 s: linear_map.endomorphism_semiring._proof_12 0.002256 s: linear_map.endomorphism_semiring._proof_13 0.002467 s: linear_map.endomorphism_semiring._proof_14 0.006402 s: linear_map.endomorphism_semiring._proof_15 0.003852 s: linear_map.endomorphism_semiring 0.005920 s: module.endomorphism_algebra._proof_1 0.006581 s: module.endomorphism_algebra._proof_2 0.012059 s: module.endomorphism_algebra._proof_3 0.012827 s: module.endomorphism_algebra._proof_4 0.007853 s: module.endomorphism_algebra._proof_5 0.030507 s: module.endomorphism_algebra._proof_6 0.036537 s: module.endomorphism_algebra._proof_7 0.016141 s: module.endomorphism_algebra 0.006758 s: algebra.lmul._proof_1 0.000133 s: algebra.lmul._proof_2 0.002049 s: algebra.lmul._proof_3 0.000168 s: algebra.lmul._proof_4 0.001606 s: algebra.left_comm 0.001154 s: algebra.lmul._proof_5 0.015435 s: algebra.lmul._proof_6 0.018409 s: algebra.lmul._proof_7 0.015442 s: algebra.lmul._proof_8 0.014455 s: algebra.lmul._proof_9 0.016075 s: algebra.lmul._proof_10 0.015597 s: algebra.lmul 0.002762 s: submodule.has_mul 0.004941 s: submodule.mul_mem_mul 0.013316 s: submodule.mul_le 0.002020 s: linear_map.flip._proof_1 0.004494 s: algebra.lmul_right._proof_1 0.000985 s: linear_map.flip._proof_2 0.001942 s: linear_map.flip._proof_3 0.001875 s: linear_map.flip._proof_4 0.002873 s: linear_map.flip._proof_5 0.004799 s: linear_map.flip._proof_6 0.005343 s: linear_map.flip 0.006400 s: algebra.lmul_right._proof_2 0.003568 s: alg_hom.map_smul 0.002873 s: alg_hom.to_linear_map 0.018984 s: algebra.lmul_right 0.000435 s: algebra.lmul_left 0.058210 s: submodule.mul_assoc 0.024843 s: submodule.has_one 0.003244 s: alg_hom.to_linear_map_apply 0.020064 s: submodule.one_eq_span 0.006798 s: algebra.mul_smul_comm 0.012313 s: submodule.span_mul_span 0.003112 s: set.image2_singleton_left 0.000523 s: set.singleton_mul 0.001174 s: set.mul_one_class._proof_1 0.001706 s: set.image2_singleton_right 0.000422 s: set.mul_singleton 0.001036 s: set.mul_one_class._proof_2 0.000149 s: set.mul_one_class 0.001918 s: submodule.one_mul 0.001456 s: submodule.mul_one 0.001345 s: submodule.semiring._proof_7 0.000878 s: submodule.semiring._proof_8 0.006471 s: submodule.bot_mul 0.005881 s: submodule.mul_bot 0.001678 s: submodule.mul_le_mul 0.000729 s: submodule.mul_le_mul_right 0.011470 s: submodule.mul_sup 0.001098 s: submodule.mul_le_mul_left 0.009062 s: submodule.sup_mul 0.011387 s: submodule.semiring 0.035572 s: Hausdorffification 0.034128 s: Hausdorffification.equations._eqn_1 0.000526 s: Module 0.000086 s: Module.carrier 0.000048 s: Module.has_coe_to_sort 0.000115 s: Module.is_add_comm_group 0.000244 s: Module.is_module 0.009021 s: Module.Module_category._proof_1 0.003878 s: Module.Module_category._proof_2 0.003279 s: Module.Module_category._proof_3 0.010797 s: Module.Module_category 0.000078 s: Module.of 0.001863 s: finsupp.lmap_domain_id 0.006184 s: Module.free._proof_1 0.006827 s: Module.free._proof_2 0.028204 s: Module.free 0.000207 s: category_theory.functor.empty 0.000427 s: category_theory.monoidal_of_chosen_finite_products.tensor_obj 0.001875 s: category_theory.limits.binary_fan.fst 0.001329 s: category_theory.limits.binary_fan.snd 0.005569 s: category_theory.limits.binary_fan.is_limit.lift'._proof_1 0.003129 s: category_theory.limits.binary_fan.is_limit.lift' 0.002593 s: category_theory.monoidal_of_chosen_finite_products.tensor_hom 0.001579 s: category_theory.limits.binary_fan.mk_π_app_left 0.002254 s: category_theory.limits.binary_fan.mk_π_app_right 0.005545 s: category_theory.monoidal_of_chosen_finite_products.tensor_id 0.013511 s: category_theory.monoidal_of_chosen_finite_products.tensor_comp 0.001219 s: category_theory.monoidal_of_chosen_finite_products._proof_1 0.002501 s: category_theory.limits.binary_fan.assoc 0.001922 s: category_theory.limits.binary_fan.assoc_inv 0.000972 s: category_theory.limits.binary_fan.π_app_left 0.004050 s: category_theory.limits.binary_fan.assoc_fst 0.003529 s: category_theory.limits.binary_fan.assoc_inv_fst 0.001444 s: category_theory.limits.binary_fan.π_app_right 0.002838 s: category_theory.limits.binary_fan.assoc_snd 0.003303 s: category_theory.limits.binary_fan.assoc_inv_snd 0.020837 s: category_theory.limits.is_limit.assoc._proof_1 0.024546 s: category_theory.limits.is_limit.assoc._proof_2 0.004979 s: category_theory.limits.is_limit.assoc 0.001365 s: category_theory.limits.binary_fan.associator 0.000653 s: category_theory.limits.binary_fan.associator_of_limit_cone 0.003030 s: category_theory.limits.is_limit.cone_point_unique_up_to_iso_hom_comp 0.003286 s: category_theory.limits.is_limit.cone_point_unique_up_to_iso_hom_comp_assoc 0.043122 s: category_theory.monoidal_of_chosen_finite_products.associator_naturality 0.005310 s: category_theory.monoidal_of_chosen_finite_products._proof_2 0.001767 s: category_theory.limits.binary_fan.left_unitor._proof_1 0.008317 s: category_theory.limits.binary_fan.left_unitor._proof_2 0.009279 s: category_theory.limits.binary_fan.left_unitor._proof_3 0.003424 s: category_theory.limits.binary_fan.left_unitor 0.005847 s: category_theory.monoidal_of_chosen_finite_products.left_unitor_naturality 0.001236 s: category_theory.monoidal_of_chosen_finite_products._proof_3 0.001350 s: category_theory.limits.binary_fan.right_unitor._proof_1 0.008950 s: category_theory.limits.binary_fan.right_unitor._proof_2 0.014553 s: category_theory.limits.binary_fan.right_unitor._proof_3 0.003563 s: category_theory.limits.binary_fan.right_unitor 0.008490 s: category_theory.monoidal_of_chosen_finite_products.right_unitor_naturality 0.002071 s: category_theory.monoidal_of_chosen_finite_products._proof_4 0.088036 s: category_theory.monoidal_of_chosen_finite_products.pentagon 0.025150 s: category_theory.monoidal_of_chosen_finite_products.triangle 0.006449 s: category_theory.monoidal_of_chosen_finite_products 0.001423 s: category_theory.limits.types.terminal_limit_cone._aux_1 0.002065 s: category_theory.limits.types.terminal_limit_cone._proof_1 0.002199 s: category_theory.limits.types.terminal_limit_cone._proof_2 0.003145 s: category_theory.limits.types.terminal_limit_cone._aux_2 0.003947 s: category_theory.limits.types.terminal_limit_cone._proof_3 0.005016 s: category_theory.limits.types.terminal_limit_cone._proof_4 0.005468 s: category_theory.limits.types.terminal_limit_cone 0.000452 s: category_theory.limits.types.binary_product_cone 0.005155 s: category_theory.limits.types.binary_product_limit._proof_1 0.003908 s: category_theory.limits.types.binary_product_limit._proof_2 0.001603 s: category_theory.limits.types.binary_product_limit 0.000209 s: category_theory.limits.types.binary_product_limit_cone 0.000122 s: category_theory.monoidal.types_monoidal 0.006090 s: tensor_product.semimodule'._proof_1 0.002096 s: tensor_product.semimodule'._proof_2 0.001473 s: tensor_product.semimodule'._proof_3 0.014286 s: tensor_product.semimodule' 0.009371 s: tensor_product.semimodule._proof_1 0.008189 s: tensor_product.semimodule._proof_2 0.002454 s: tensor_product.semimodule 0.015543 s: Module.monoidal_category.tensor_obj 0.008508 s: tensor_product.lift._proof_1 0.005999 s: tensor_product.lift._proof_2 0.006294 s: tensor_product.lift_aux._proof_1 0.006003 s: tensor_product.lift_aux._proof_2 0.000894 s: free_add_monoid.lift_comp_of 0.001733 s: free_add_monoid.lift_eval_of 0.007297 s: linear_map.map_zero₂ 0.007080 s: linear_map.map_add₂ 0.004932 s: linear_map.map_smul₂ 0.023327 s: tensor_product.lift_aux._match_1 0.010903 s: tensor_product.lift_aux._proof_3 0.007211 s: tensor_product.lift_aux 0.002788 s: tensor_product.lift._proof_3 0.005105 s: tensor_product.has_scalar._proof_1 0.005480 s: tensor_product.has_scalar._proof_2 0.001796 s: tensor_product.has_scalar 0.010526 s: tensor_product.lift_aux_tmul 0.024518 s: tensor_product.lift_aux.smul 0.010492 s: tensor_product.lift 0.004366 s: tensor_product.map._proof_1 0.004821 s: linear_map.compl₂._proof_1 0.005074 s: linear_map.compl₂._proof_2 0.005005 s: linear_map.lcomp._proof_1 0.004389 s: linear_map.lcomp._proof_3 0.004469 s: linear_map.lcomp._proof_4 0.006067 s: linear_map.lcomp._proof_5 0.004902 s: linear_map.lcomp._proof_6 0.006963 s: linear_map.lcomp 0.003093 s: linear_map.compl₂ 0.002971 s: tensor_product.mk._proof_1 0.007489 s: tensor_product.mk._proof_2 0.009172 s: tensor_product.mk._proof_3 0.007339 s: tensor_product.mk 0.004085 s: tensor_product.map 0.025745 s: Module.monoidal_category.tensor_hom 0.007413 s: linear_map.llcomp._proof_2 0.004625 s: linear_map.compr₂._proof_1 0.004700 s: linear_map.compr₂._proof_2 0.005377 s: linear_map.llcomp._proof_1 0.004880 s: linear_map.llcomp._proof_3 0.002859 s: linear_map.smul_comm_class 0.009505 s: linear_map.llcomp._proof_4 0.005684 s: linear_map.llcomp._proof_5 0.007330 s: linear_map.llcomp._proof_6 0.006941 s: linear_map.llcomp._proof_7 0.007269 s: linear_map.llcomp._proof_8 0.007016 s: linear_map.llcomp._proof_9 0.002931 s: linear_map.ext₂ 0.019649 s: linear_map.llcomp._proof_10 0.027072 s: linear_map.llcomp._proof_11 0.013357 s: linear_map.llcomp 0.009717 s: linear_map.compr₂ 0.006674 s: tensor_product.ext 0.011427 s: tensor_product.lift.tmul 0.013952 s: tensor_product.lift.unique 0.017638 s: linear_map.compr₂_apply 0.017967 s: tensor_product.lift_compr₂ 0.006224 s: tensor_product.lift_mk 0.004176 s: tensor_product.lift_mk_compr₂ 0.005734 s: tensor_product.mk_compr₂_inj 0.392026 s: Module.monoidal_category.tensor_id 0.022563 s: Module.monoidal_category._proof_1 0.776038 s: Module.monoidal_category.tensor_comp 0.005501 s: Module.monoidal_category._proof_2 0.007777 s: linear_equiv.to_Module_iso._proof_1 0.007181 s: linear_equiv.to_Module_iso._proof_2 0.001751 s: linear_equiv.to_Module_iso 0.001039 s: linear_equiv.of_linear._proof_1 0.001060 s: linear_equiv.of_linear._proof_2 0.003402 s: linear_equiv.of_linear 0.003573 s: tensor_product.assoc._proof_1 0.004748 s: tensor_product.lcurry._proof_2 0.003766 s: tensor_product.assoc._proof_2 0.005161 s: tensor_product.assoc._proof_3 0.004602 s: tensor_product.lcurry._proof_1 0.010540 s: tensor_product.lcurry._proof_3 0.005498 s: tensor_product.uncurry._proof_1 0.005659 s: tensor_product.lift.equiv._proof_3 0.006052 s: tensor_product.lift.equiv._proof_1 0.006750 s: tensor_product.lift.equiv._proof_2 0.006478 s: tensor_product.lcurry._proof_4 0.005820 s: tensor_product.lcurry._proof_5 0.009134 s: tensor_product.lcurry._proof_6 0.007438 s: tensor_product.lift.equiv._proof_4 0.006886 s: tensor_product.lift.equiv._proof_5 0.006578 s: tensor_product.lift.equiv._proof_6 0.007841 s: tensor_product.uncurry._proof_2 0.006344 s: tensor_product.uncurry._proof_3 0.005299 s: tensor_product.uncurry._proof_4 0.009156 s: tensor_product.uncurry._proof_5 0.009410 s: tensor_product.uncurry._proof_6 0.005572 s: tensor_product.uncurry._proof_7 0.006003 s: linear_map.lflip._proof_1 0.005678 s: linear_map.lflip._proof_2 0.007605 s: linear_map.lflip._proof_3 0.007592 s: linear_map.lflip._proof_4 0.012666 s: tensor_product.uncurry._proof_8 0.009636 s: linear_map.lflip._proof_5 0.006051 s: linear_map.lflip._proof_6 0.008466 s: linear_map.lflip._proof_7 0.008232 s: linear_map.lflip._proof_8 0.005828 s: linear_map.lflip._proof_9 0.010139 s: linear_map.lflip._proof_10 0.017331 s: linear_map.lflip._proof_11 0.120344 s: linear_map.lflip 0.029668 s: tensor_product.uncurry._proof_9 0.024317 s: tensor_product.uncurry 0.011873 s: tensor_product.lift.equiv._proof_7 0.007438 s: tensor_product.lift.equiv._proof_8 0.044843 s: tensor_product.lift.equiv._proof_9 0.049707 s: tensor_product.lift.equiv._proof_10 0.022048 s: tensor_product.lift.equiv 0.010266 s: tensor_product.lcurry 0.005840 s: tensor_product.assoc._proof_4 0.006527 s: tensor_product.assoc._proof_5 0.003958 s: tensor_product.assoc._proof_6 0.007345 s: tensor_product.curry 0.004104 s: tensor_product.mk_apply 0.021200 s: tensor_product.uncurry.equations._eqn_1 0.008435 s: linear_map.flip_apply 0.039029 s: tensor_product.uncurry_apply 0.016995 s: tensor_product.curry_apply 0.016747 s: tensor_product.lcurry_apply 0.051077 s: tensor_product.assoc._proof_7 0.012615 s: linear_map.flip_inj 0.056775 s: tensor_product.assoc._proof_8 0.027884 s: tensor_product.assoc 0.072398 s: Module.monoidal_category.associator 0.027462 s: tensor_product.ext_threefold 0.082488 s: _private.2507232397.associator_naturality_aux 0.338206 s: Module.monoidal_category.associator_naturality 0.008516 s: Module.monoidal_category._proof_3 0.000531 s: linear_map.lsmul._proof_1 0.000319 s: linear_map.lsmul._proof_2 0.000319 s: linear_map.lsmul._proof_3 0.005720 s: linear_map.lsmul._proof_4 0.004335 s: linear_map.lsmul 0.003386 s: tensor_product.lid._proof_1 0.003611 s: linear_map.lsmul_apply 0.013577 s: tensor_product.lid._proof_2 0.020863 s: tensor_product.lid._proof_3 0.005724 s: tensor_product.lid 0.001669 s: Module.of_self_iso._proof_1 0.001423 s: Module.of_self_iso._proof_2 0.005758 s: Module.of_self_iso 0.032881 s: Module.monoidal_category.left_unitor 0.011089 s: Module.coe_comp 0.010176 s: tensor_product.lid_tmul 0.085900 s: Module.monoidal_category.left_unitor_naturality 0.033087 s: Module.monoidal_category._proof_4 0.010619 s: tensor_product.comm._proof_1 0.006259 s: tensor_product.comm._proof_2 0.033468 s: tensor_product.comm._proof_3 0.037005 s: tensor_product.comm._proof_4 0.012131 s: tensor_product.comm 0.001348 s: tensor_product.rid 0.030948 s: Module.monoidal_category.right_unitor 0.036888 s: tensor_product.rid_tmul 0.104065 s: Module.monoidal_category.right_unitor_naturality 0.033717 s: Module.monoidal_category._proof_5 0.038099 s: tensor_product.ext_fourfold 0.451500 s: _private.26562115.pentagon_aux 0.755615 s: Module.monoidal_category.pentagon 0.003433 s: Module.monoidal_category._proof_6 0.122571 s: Module.monoidal_category.triangle 0.035419 s: Module.monoidal_category._proof_7 0.019034 s: Module.monoidal_category 0.007078 s: category_theory.functorial 0.000877 s: category_theory.functorial.map 0.000238 s: category_theory.map 0.001459 s: category_theory.functor.map_id' 0.001816 s: category_theory.functor.map_comp' 0.000561 s: category_theory.functor.obj.functorial 0.000111 s: direct_sum 0.004553 s: dfinsupp.add_monoid._proof_1 0.000377 s: dfinsupp.add_monoid._proof_2 0.000344 s: dfinsupp.add_monoid._proof_3 0.000196 s: dfinsupp.add_monoid._proof_4 0.000372 s: dfinsupp.add_monoid._proof_5 0.001318 s: dfinsupp.add_monoid._proof_6 0.001025 s: dfinsupp.add_monoid._proof_7 0.003118 s: dfinsupp.add_monoid 0.000374 s: dfinsupp.add_comm_monoid._proof_1 0.000452 s: dfinsupp.add_comm_monoid._proof_2 0.000432 s: dfinsupp.add_comm_monoid._proof_3 0.000912 s: dfinsupp.add_comm_monoid._proof_4 0.000729 s: dfinsupp.add_comm_monoid._proof_5 0.008395 s: dfinsupp.add_comm_monoid._proof_6 0.001996 s: dfinsupp.add_comm_monoid 0.000108 s: direct_sum.add_comm_monoid 0.000595 s: dfinsupp.has_scalar._proof_1 0.000936 s: dfinsupp.has_scalar 0.003642 s: dfinsupp.smul_apply 0.002637 s: dfinsupp.distrib_mul_action._proof_1 0.003649 s: dfinsupp.distrib_mul_action._proof_2 0.022191 s: dfinsupp.distrib_mul_action._proof_3 0.014525 s: dfinsupp.distrib_mul_action._proof_4 0.004482 s: dfinsupp.distrib_mul_action 0.001419 s: dfinsupp.semimodule._proof_1 0.001031 s: dfinsupp.semimodule._proof_2 0.035634 s: dfinsupp.semimodule._proof_3 0.031517 s: dfinsupp.semimodule._proof_4 0.016138 s: dfinsupp.semimodule 0.000465 s: direct_sum.semimodule 0.014907 s: tensor_product.map_tmul 0.012048 s: tensor_product.congr._proof_1 0.012776 s: tensor_product.congr._proof_2 0.006954 s: tensor_product.congr 0.004420 s: dfinsupp.smul_comm_class 0.008004 s: direct_sum.smul_comm_class 0.003432 s: finsupp_lequiv_direct_sum._proof_1 0.002776 s: finsupp_lequiv_direct_sum._proof_2 0.001853 s: finsupp_lequiv_direct_sum._proof_3 0.002290 s: dfinsupp.mk._proof_1 0.001457 s: dfinsupp.mk 0.001779 s: dfinsupp.single._proof_1 0.001035 s: dfinsupp.single 0.002719 s: dfinsupp.mk_apply 0.005851 s: dfinsupp.single_apply 0.001753 s: dfinsupp.single_eq_same 0.001386 s: dfinsupp.single_eq_of_ne 0.004146 s: dfinsupp.single_add 0.000809 s: dfinsupp.lsingle._proof_1 0.008954 s: dfinsupp.single_smul 0.002748 s: dfinsupp.lsingle._proof_2 0.009144 s: dfinsupp.lsingle 0.003144 s: direct_sum.lof 0.006101 s: dfinsupp.sum_add_hom._proof_1 0.008316 s: dfinsupp.sum_add_hom._proof_2 0.017651 s: dfinsupp.sum_add_hom._proof_3 0.009805 s: dfinsupp.sum_add_hom 0.009457 s: dfinsupp.single_zero 0.000342 s: dfinsupp.single_add_hom._proof_1 0.000369 s: dfinsupp.single_add_hom._proof_2 0.001552 s: dfinsupp.single_add_hom 0.006702 s: dfinsupp.sum_add_hom_single 0.006596 s: dfinsupp.sum_add_hom_comp_single 0.002333 s: dfinsupp.lift_add_hom._proof_1 0.000332 s: dfinsupp.pre.cases_on 0.001322 s: dfinsupp.erase._proof_1 0.005074 s: dfinsupp.erase._proof_2 0.001877 s: dfinsupp.erase 0.001426 s: dfinsupp.erase_apply 0.005598 s: dfinsupp.single_add_erase 0.001772 s: dfinsupp.erase_same 0.011865 s: dfinsupp.induction 0.007516 s: dfinsupp.add_closure_Union_range_single 0.002820 s: dfinsupp.add_hom_ext 0.003211 s: dfinsupp.add_hom_ext' 0.000925 s: dfinsupp.single_add_hom_apply 0.005841 s: dfinsupp.lift_add_hom._proof_2 0.006977 s: dfinsupp.lift_add_hom._proof_3 0.002123 s: dfinsupp.lift_add_hom 0.002209 s: dfinsupp.lsum._proof_1 0.001435 s: linear_map.to_add_monoid_hom_coe 0.023590 s: dfinsupp.lsum._proof_2 0.006146 s: dfinsupp.lhom_ext 0.007307 s: dfinsupp.lhom_ext' 0.002936 s: dfinsupp.lsingle_apply 0.100739 s: dfinsupp.lsum._proof_3 0.083870 s: dfinsupp.lsum._proof_4 0.068524 s: dfinsupp.lsum._proof_5 0.075577 s: dfinsupp.lsum._proof_6 0.044079 s: dfinsupp.lsum 0.012176 s: direct_sum.to_module 0.002952 s: direct_sum.to_module.ext 0.004709 s: finsupp.coe_lsum 0.002332 s: direct_sum.to_add_monoid 0.001379 s: direct_sum.of 0.001899 s: dfinsupp.lift_add_hom_apply 0.003348 s: dfinsupp.lift_add_hom_apply_single 0.004480 s: direct_sum.to_add_monoid_of 0.007741 s: direct_sum.to_module_lof 0.001926 s: linear_map.id_comp 0.026928 s: finsupp_lequiv_direct_sum._proof_4 0.003786 s: linear_map.map_finsupp_sum 0.022344 s: finsupp_lequiv_direct_sum._proof_5 0.013207 s: finsupp_lequiv_direct_sum 0.024024 s: tensor_product.direct_sum._proof_1 0.023402 s: tensor_product.direct_sum._proof_2 0.022869 s: tensor_product.direct_sum._proof_3 0.026183 s: tensor_product.direct_sum._proof_4 0.096636 s: tensor_product.direct_sum._proof_5 0.108117 s: tensor_product.direct_sum._proof_6 0.041060 s: tensor_product.direct_sum 0.052459 s: finsupp_tensor_finsupp 0.000363 s: add_equiv.to_linear_equiv._proof_1 0.000318 s: add_equiv.to_linear_equiv._proof_2 0.000147 s: add_equiv.to_linear_equiv._proof_3 0.007947 s: add_equiv.to_linear_equiv 0.002195 s: finsupp.dom_congr._proof_1 0.001548 s: finsupp.dom_congr._proof_2 0.000599 s: finsupp.dom_congr._proof_3 0.000897 s: finsupp.dom_congr 0.001729 s: finsupp.dom_lcongr._proof_1 0.003661 s: finsupp.dom_lcongr 0.001351 s: linear_equiv.map_zero 0.000240 s: finsupp.map_range.add_monoid_hom._proof_1 0.000579 s: finsupp.map_range.add_monoid_hom._proof_2 0.000682 s: finsupp.map_range.add_monoid_hom._proof_3 0.001685 s: finsupp.map_range.add_monoid_hom 0.000819 s: finsupp.map_range.linear_map._proof_1 0.005861 s: finsupp.map_range_comp 0.004758 s: finsupp.map_range_smul 0.001522 s: finsupp.map_range.linear_map._proof_2 0.006499 s: finsupp.map_range.linear_map 0.001365 s: finsupp.map_range.linear_equiv._proof_1 0.001498 s: finsupp.map_range.linear_equiv._proof_2 0.001253 s: finsupp.map_range.linear_equiv._proof_3 0.000784 s: finsupp.map_range.add_equiv._proof_1 0.000407 s: finsupp.map_range.add_equiv._proof_2 0.002385 s: add_equiv.symm_apply_apply 0.000728 s: add_equiv.symm_comp_self 0.000677 s: finsupp.map_range_id 0.003376 s: finsupp.map_range.add_equiv._proof_3 0.000665 s: add_equiv.self_comp_symm 0.002963 s: finsupp.map_range.add_equiv._proof_4 0.000757 s: finsupp.map_range.add_equiv._proof_5 0.003883 s: finsupp.map_range.add_equiv 0.000880 s: finsupp.map_range.linear_equiv._proof_4 0.000591 s: finsupp.map_range.linear_equiv._proof_5 0.006759 s: finsupp.map_range.linear_equiv 0.001125 s: finsupp.lcongr 0.052943 s: finsupp_tensor_finsupp' 0.007652 s: category_theory.map_functorial_obj 0.024926 s: Module.free_map 0.004338 s: linear_equiv.coe_to_linear_map 0.036769 s: Module.monoidal_category.hom_apply 0.048133 s: finsupp_tensor_finsupp'.equations._eqn_1 0.012165 s: linear_equiv.trans_apply 0.001843 s: finsupp.erase_add_single 0.002135 s: finsupp.induction₂ 0.000513 s: finsupp.induction_linear 0.001455 s: finsupp.lcongr.equations._eqn_1 0.001008 s: finsupp.dom_congr.equations._eqn_1 0.003144 s: finsupp.dom_lcongr.equations._eqn_1 0.002010 s: add_equiv.coe_to_linear_equiv 0.000635 s: add_equiv.coe_mk 0.008981 s: finsupp.dom_lcongr_single 0.002943 s: finsupp.map_range.linear_equiv_apply 0.005591 s: finsupp.lcongr_single 0.106562 s: finsupp.lcongr_apply_apply 0.000555 s: equiv.refl_symm 0.055564 s: finsupp_tensor_finsupp.equations._eqn_1 0.020112 s: tensor_product.congr_tmul 0.013004 s: finsupp_lequiv_direct_sum_single 0.038714 s: tensor_product.direct_sum.equations._eqn_1 0.007710 s: linear_equiv.of_linear_apply 0.133462 s: tensor_product.direct_sum_lof_tmul_lof 0.019105 s: finsupp_lequiv_direct_sum_symm_lof 0.067409 s: finsupp_tensor_finsupp_single 0.110400 s: finsupp_tensor_finsupp_apply 0.069850 s: finsupp_tensor_finsupp'_apply_apply 0.008387 s: ite_mul 0.052286 s: finsupp_tensor_finsupp'_single_tmul_single 0.004665 s: category_theory.monoidal.tensor_apply 0.176769 s: Module.free.obj.category_theory.lax_monoidal._proof_1 0.024194 s: convex_Icc 0.000331 s: lt_of_add_lt_of_nonneg_left 0.002879 s: int.div_self 0.000327 s: rat.coe_int_inj 0.023096 s: rat.coe_int_div_self 0.006010 s: rat.coe_nat_div_self 0.000385 s: add_con.ker_lift._proof_1 0.000426 s: add_con.ker_lift 0.002917 s: add_con.ker_lift_injective 0.008904 s: bilin_form.to_lin._proof_2 0.000518 s: category_theory.subobject.mk 0.000215 s: category_theory.limits.has_equalizer 0.000242 s: category_theory.limits.equalizer 0.000395 s: category_theory.limits.kernel 0.000676 s: category_theory.limits.equalizer.ι 0.000328 s: category_theory.limits.kernel.ι 0.002098 s: category_theory.limits.equalizer.hom_ext 0.000696 s: category_theory.limits.equalizer.ι_mono 0.000444 s: category_theory.limits.kernel_subobject._proof_1 0.000449 s: category_theory.limits.kernel_subobject 0.001804 s: category_theory.limits.kernel.lift 0.001826 s: category_theory.mono_over.mk'_arrow 0.001739 s: category_theory.limits.kernel.lift_ι 0.004309 s: category_theory.limits.kernel_subobject_factors 0.047171 s: linear_independent.total_equiv.equations._eqn_1 0.018414 s: algebra.tensor_product.mul._proof_1 0.006597 s: algebra.tensor_product.mul._proof_2 0.001152 s: algebra.tensor_product.mul_aux 0.013872 s: algebra.tensor_product.mul_aux_apply 0.012928 s: algebra.tensor_product.mul._proof_3 0.025330 s: algebra.tensor_product.mul._proof_4 0.013996 s: algebra.tensor_product.mul._proof_5 0.024458 s: algebra.tensor_product.mul._proof_6 0.012974 s: algebra.tensor_product.mul 0.013837 s: algebra.tensor_product.tensor_product.semiring._proof_12 0.002542 s: algebra.tensor_product.tensor_product.semiring._proof_1 0.000597 s: algebra.tensor_product.tensor_product.semiring._proof_2 0.000386 s: algebra.tensor_product.tensor_product.semiring._proof_3 0.001642 s: algebra.tensor_product.tensor_product.semiring._proof_4 0.001439 s: 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s: affine_subspace.has_mem 0.002837 s: affine_subspace.direction_of_nonempty._proof_1 0.001373 s: affine_subspace.smul_vsub_vadd_mem 0.010212 s: affine_subspace.direction_of_nonempty._proof_2 0.003055 s: affine_subspace.direction_of_nonempty._proof_3 0.001339 s: affine_subspace.direction_of_nonempty 0.003700 s: affine_subspace.direction_of_nonempty_eq_direction 0.001921 s: affine_subspace.coe_direction_eq_vsub_set 0.003914 s: affine_subspace.mem_direction_iff_eq_vsub 0.006895 s: affine_subspace.vadd_mem_of_mem_direction 0.000127 s: set.mem_of_mem_of_subset 0.000875 s: set.vsub_subset_vsub 0.000255 s: set.vsub_self_mono 0.001273 s: vector_span_mono 0.006437 s: affine_subspace.span_points_subset_coe_of_subset_coe 0.004240 s: affine_subspace.complete_lattice._proof_8 0.002125 s: affine_subspace.complete_lattice._proof_9 0.000311 s: affine_subspace.complete_lattice._proof_10 0.000494 s: affine_subspace.complete_lattice._proof_11 0.000458 s: affine_subspace.complete_lattice._proof_12 0.000686 s: affine_subspace.complete_lattice._proof_13 0.000514 s: affine_subspace.complete_lattice._proof_14 0.000728 s: affine_subspace.complete_lattice._proof_15 0.000244 s: affine_subspace.complete_lattice._proof_16 0.001036 s: affine_subspace.complete_lattice._proof_17 0.002643 s: affine_subspace.complete_lattice._proof_18 0.002346 s: affine_subspace.complete_lattice._proof_19 0.000676 s: affine_subspace.complete_lattice._proof_20 0.001141 s: affine_subspace.complete_lattice._proof_21 0.026025 s: affine_subspace.complete_lattice 0.003753 s: vadd_vsub_vadd_cancel_right 0.000404 s: vadd_right_cancel_iff 0.008578 s: affine_subspace.mk'._proof_1 0.001377 s: affine_subspace.mk' 0.003006 s: affine_map 0.002632 s: pi.add_torsor._proof_1 0.002415 s: pi.add_torsor._proof_2 0.000211 s: pi.add_torsor._proof_3 0.007501 s: pi.add_torsor._proof_4 0.009196 s: pi.add_torsor._proof_5 0.002498 s: pi.add_torsor 0.001440 s: affine_map.to_fun 0.000431 s: affine_map.has_coe_to_fun 0.000138 s: finset.affine_combination._proof_1 0.006847 s: finset.weighted_vsub.equations._eqn_1 0.000426 s: vadd_eq_add 0.107581 s: finset.affine_combination._proof_2 0.081402 s: finset.affine_combination 0.000300 s: finset.centroid_weights 0.046702 s: finset.centroid 0.000097 s: finset.boolean_algebra._proof_1 0.000131 s: finset.boolean_algebra._proof_2 0.006546 s: finset.boolean_algebra._proof_3 0.000465 s: finset.boolean_algebra._proof_4 0.000687 s: finset.boolean_algebra._proof_5 0.000515 s: finset.boolean_algebra._proof_6 0.000291 s: finset.boolean_algebra._proof_7 0.000514 s: finset.boolean_algebra._proof_8 0.000303 s: finset.boolean_algebra._proof_9 0.000336 s: finset.boolean_algebra._proof_10 0.000518 s: finset.boolean_algebra._proof_11 0.001434 s: finset.boolean_algebra._proof_12 0.001087 s: finset.boolean_algebra._proof_13 0.000538 s: finset.boolean_algebra._proof_14 0.000256 s: finset.boolean_algebra._proof_15 0.000583 s: finset.bot_eq_empty 0.033968 s: finset.boolean_algebra._proof_16 0.009508 s: finset.union_sdiff_self_eq_union 0.029618 s: finset.boolean_algebra._proof_17 0.099048 s: finset.boolean_algebra._proof_18 0.026229 s: finset.boolean_algebra 0.000672 s: affine.simplex.points 0.006023 s: inner_product_space.to_has_inner 0.001961 s: inner_product_space.conj_sym 0.000457 s: inner_conj_sym 0.002398 s: inner_product_space.smul_left 0.001632 s: inner_smul_left 0.008016 s: inner_zero_left 0.001091 s: inner_zero_right 0.000780 s: submodule.orthogonal._proof_1 0.002755 s: inner_product_space.add_left 0.000583 s: inner_add_left 0.003715 s: inner_add_right 0.036763 s: is_R_or_C.conj_re_ax 0.000507 s: is_R_or_C.conj_re 0.039354 s: is_R_or_C.conj_im_ax 0.000455 s: is_R_or_C.conj_im 0.025362 s: is_R_or_C.mul_conj 0.006549 s: is_R_or_C.inner_product_space._proof_1 0.001969 s: is_R_or_C.conj_conj 0.009999 s: is_R_or_C.inner_product_space._proof_2 0.097533 s: is_R_or_C.inner_product_space._proof_3 0.102964 s: is_R_or_C.inner_product_space._proof_4 0.001288 s: is_R_or_C.inner_product_space 0.019843 s: submodule.orthogonal._proof_2 0.004298 s: inner_smul_right 0.002608 s: submodule.orthogonal._proof_3 0.004431 s: submodule.orthogonal 0.162960 s: affine.simplex.monge_plane 0.168933 s: affine.simplex.monge_plane_def 0.014721 s: affine_subspace.vsub_mem_direction 0.002296 s: affine_subspace.vadd_mem_iff_mem_direction 0.003609 s: affine_subspace.mem_inf_iff 0.002399 s: affine_subspace.direction_inf_of_mem 0.001695 s: affine_subspace.direction_inf_of_mem_inf 0.000017 s: unit.star 0.000041 s: unit.fintype 0.002017 s: fintype.card_unit 0.001431 s: fintype.card_eq_one_iff 0.001154 s: affine_subspace.mem_coe 0.005361 s: affine_subspace.coe_direction_eq_vsub_set_right 0.003378 s: affine_subspace.mem_direction_iff_eq_vsub_right 0.000667 s: vsub_sub_vsub_cancel_right 0.000556 s: vsub_left_cancel 0.000260 s: vsub_left_cancel_iff 0.001661 s: affine_subspace.vsub_right_mem_direction_iff_mem 0.000859 s: mem_affine_span 0.009439 s: direction_affine_span 0.000475 s: vector_span_def 0.000474 s: set.vsub_singleton 0.001393 s: set.singleton_vsub_self 0.002473 s: submodule.span_zero_singleton 0.003420 s: vector_span_singleton 0.004351 s: affine_subspace.coe_affine_span_singleton 0.001423 s: affine_subspace.mem_affine_span_singleton 0.004338 s: affine_subspace.gi._proof_1 0.000591 s: affine_subspace.gi._proof_2 0.000633 s: affine_subspace.gi._proof_3 0.003679 s: affine_subspace.gi 0.011949 s: affine_subspace.span_union 0.007236 s: affine_subspace.affine_span_coe 0.001731 s: affine_span_insert_affine_span 0.000119 s: coe_sort_trans 0.005570 s: affine_subspace.to_add_torsor._proof_1 0.014545 s: affine_subspace.to_add_torsor._proof_2 0.011617 s: affine_subspace.to_add_torsor._proof_3 0.004327 s: affine_subspace.coe_direction_eq_vsub_set_left 0.002719 s: affine_subspace.mem_direction_iff_eq_vsub_left 0.001110 s: add_units.neg_vadd_vadd 0.000797 s: add_units.vadd_neg_vadd 0.000473 s: add_units.vadd_perm 0.001160 s: add_action.bijective 0.000136 s: add_action.injective 0.000217 s: vadd_left_cancel 0.000668 s: vsub_right_cancel 0.000208 s: vsub_right_cancel_iff 0.001686 s: affine_subspace.vsub_left_mem_direction_iff_mem 0.003347 s: affine_subspace.to_add_torsor._proof_4 0.028728 s: affine_subspace.to_add_torsor._proof_5 0.033267 s: affine_subspace.to_add_torsor._proof_6 0.019198 s: affine_subspace.to_add_torsor 0.001379 s: set_like.not_le_iff_exists 0.003163 s: set_like.lt_iff_le_and_exists 0.000541 s: affine_subspace.direction_eq_vector_span 0.000294 s: is_greatest.mono 0.000188 s: is_glb.mono 0.000206 s: Inf_le_Inf 0.024417 s: affine_subspace.sup_direction_le 0.016862 s: affine_subspace.sup_direction_lt_of_nonempty_of_inter_empty 0.010776 s: affine_subspace.inter_nonempty_of_nonempty_of_sup_direction_eq_top 0.013384 s: affine_subspace.inter_eq_singleton_of_nonempty_of_is_compl 0.004952 s: affine_subspace.self_mem_mk' 0.001626 s: affine_subspace.mk'_nonempty 0.001358 s: affine_subspace.vadd_mem_mk' 0.004666 s: affine_subspace.direction_mk' 0.001818 s: submodule.eq_bot_iff 0.002159 s: inner_product_space.norm_sq_eq_inner 0.020933 s: inner_self_eq_zero 0.006985 s: submodule.inf_orthogonal_eq_bot 0.003295 s: submodule.orthogonal_disjoint 0.000900 s: inner_product_space.is_R_or_C_to_real._proof_1 0.000336 s: has_inner.is_R_or_C_to_real 0.000855 s: inner_re_symm 0.000304 s: inner_product_space.is_R_or_C_to_real._proof_2 0.011559 s: inner_product_space.is_R_or_C_to_real._proof_3 0.003985 s: is_R_or_C.conj_of_real 0.045822 s: inner_product_space.is_R_or_C_to_real._proof_4 0.009412 s: inner_product_space.is_R_or_C_to_real 0.012419 s: exists_lt_of_cInf_lt 0.002321 s: exists_lt_of_cinfi_lt 0.086624 s: nat.inv_pos_of_nat 0.011899 s: nat.one_div_pos_of_nat 0.002726 s: cauchy_seq_tendsto_of_is_complete 0.029592 s: cauchy_seq_bdd 0.007747 s: metric.tendsto_at_top 0.001450 s: metric.cauchy_seq_iff 0.010676 s: cauchy_seq_of_le_tendsto_0 0.024224 s: cauchy_seq_iff_le_tendsto_0 0.004193 s: le_cinfi 0.033581 s: abs_two 0.023762 s: real.norm_two 0.004947 s: mul_one_div_cancel 0.001795 s: norm_eq_sqrt_inner 0.013848 s: inner_self_nonneg 0.002956 s: inner_self_eq_norm_square 0.024854 s: inner_add_add_self 0.007418 s: inner_neg_left 0.002191 s: inner_neg_right 0.007113 s: parallelogram_law 0.009878 s: parallelogram_law_with_norm 0.000284 s: cinfi_le 0.006016 s: le_div_iff' 0.008223 s: inv_le_inv_of_le 0.006519 s: one_div_le_one_div_of_le 0.013595 s: nat.cast_add_one_pos 0.067129 s: nat.one_div_le_one_div 0.009410 s: nnreal.continuous_of_real 0.007444 s: real.continuous_sqrt 0.013771 s: nat.mono_cast 0.005587 s: tendsto_coe_nat_at_top_at_top 0.038409 s: tendsto_inverse_at_top_nhds_0_nat 0.078783 s: tendsto_const_div_at_top_nhds_0_nat 0.013684 s: tendsto_one_div_add_at_top_nhds_0_nat 0.000961 s: tendsto_of_tendsto_of_tendsto_of_le_of_le 0.567514 s: exists_norm_eq_infi_of_complete_convex 0.084689 s: submodule.convex 0.142826 s: exists_norm_eq_infi_of_complete_subspace 0.014495 s: is_R_or_C.ext 0.000519 s: tactic.ring.subst_into_pow 0.012006 s: tactic.ring.horner_pow 0.003469 s: inner_sub_right 0.002452 s: inner_sub_left 0.057604 s: inner_sub_sub_self 0.025858 s: norm_sub_pow_two 0.551747 s: norm_eq_infi_iff_real_inner_le_zero 0.148365 s: norm_eq_infi_iff_real_inner_eq_zero 0.061766 s: is_R_or_C.I_re_ax 0.000301 s: is_R_or_C.I_re 0.040419 s: is_R_or_C.mul_im_I_ax 0.000314 s: is_R_or_C.I_im 0.004877 s: is_R_or_C.I_im' 0.000896 s: real_inner_eq_re_inner 0.135012 s: norm_eq_infi_iff_inner_eq_zero 0.014983 s: submodule.mem_orthogonal 0.003748 s: inner_eq_zero_sym 0.002661 s: submodule.mem_orthogonal' 0.012595 s: submodule.sup_orthogonal_inf_of_is_complete 0.021796 s: submodule.sup_orthogonal_of_is_complete 0.013565 s: submodule.is_compl_orthogonal_of_is_complete 0.134178 s: euclidean_geometry.orthogonal_projection_fn._proof_1 0.138801 s: euclidean_geometry.orthogonal_projection_fn 0.184524 s: euclidean_geometry.inter_eq_singleton_orthogonal_projection_fn 0.152764 s: euclidean_geometry.orthogonal_projection_fn_mem 0.031174 s: orthogonal_projection._proof_1 0.004186 s: orthogonal_projection_fn._proof_1 0.002275 s: orthogonal_projection_fn 0.006841 s: orthogonal_projection_fn_mem 0.004805 s: orthogonal_projection_fn_inner_eq_zero 0.009476 s: eq_orthogonal_projection_fn_of_mem_of_inner_eq_zero 0.023197 s: orthogonal_projection._proof_2 0.049024 s: orthogonal_projection._proof_3 0.014741 s: pow_lt_pow_of_lt_left 0.015023 s: le_of_pow_le_pow 0.005635 s: linarith.lt_of_eq_of_lt 0.022248 s: norm_add_pow_two 0.005040 s: norm_add_mul_self 0.032367 s: norm_add_square_eq_norm_square_add_norm_square_of_inner_eq_zero 0.009238 s: orthogonal_projection_fn_norm_sq 0.453613 s: orthogonal_projection._proof_4 0.110869 s: orthogonal_projection 0.151606 s: euclidean_geometry.orthogonal_projection_fn_mem_orthogonal 0.160489 s: euclidean_geometry.orthogonal_projection_fn_vsub_mem_direction_orthogonal 0.037164 s: orthogonal_projection_inner_eq_zero 0.298420 s: euclidean_geometry.orthogonal_projection._proof_1 0.227325 s: euclidean_geometry.orthogonal_projection 0.110937 s: euclidean_geometry.orthogonal_projection_mem 0.001190 s: semi_normed_add_torsor 0.000237 s: semi_normed_add_torsor.to_add_torsor 0.014235 s: normed_add_torsor.dist_eq_norm' 0.000607 s: normed_add_torsor.to_semi_normed_add_torsor 0.002132 s: semi_normed_add_torsor.dist_eq_norm' 0.000425 s: dist_eq_norm_vsub 0.039091 s: norm_add_square_eq_norm_square_add_norm_square_iff_real_inner_eq_zero 0.007730 s: norm_add_square_eq_norm_square_add_norm_square_real 0.002841 s: submodule.inner_right_of_mem_orthogonal 0.152998 s: euclidean_geometry.dist_square_smul_orthogonal_vadd_smul_orthogonal_vadd 0.162168 s: euclidean_geometry.orthogonal_projection_mem_orthogonal 0.160367 s: euclidean_geometry.vsub_orthogonal_projection_mem_direction_orthogonal 0.116464 s: euclidean_geometry.orthogonal_projection_fn_eq 0.180110 s: euclidean_geometry.inter_eq_singleton_orthogonal_projection 0.219387 s: euclidean_geometry.orthogonal_projection_eq_self_iff 0.152661 s: euclidean_geometry.dist_orthogonal_projection_eq_zero_iff 0.151354 s: euclidean_geometry.dist_orthogonal_projection_ne_zero_of_not_mem 0.057112 s: add_div' 0.145040 s: euclidean_geometry.vsub_orthogonal_projection_mem_direction 0.199262 s: euclidean_geometry.orthogonal_projection_vsub_mem_direction_orthogonal 0.239074 s: euclidean_geometry.dist_square_eq_dist_orthogonal_projection_square_add_dist_orthogonal_projection_square 0.016859 s: add_subgroup.add_mem_cancel_left 0.002734 s: submodule.add_mem_iff_right 0.197012 s: euclidean_geometry.orthogonal_projection_vadd_eq_self 0.190637 s: euclidean_geometry.orthogonal_projection_vadd_smul_vsub_orthogonal_projection 0.027381 s: vector_span_eq_span_vsub_set_right 0.000196 s: set.mem_union_left 0.000112 s: set.mem_union_right 0.030263 s: affine_subspace.direction_sup 0.008287 s: affine_subspace.direction_affine_span_insert 0.012538 s: affine_subspace.mem_affine_span_insert_iff 0.000036 s: classical.arbitrary 0.003938 s: set.pairwise_on_eq_iff_exists_eq 0.101478 s: euclidean_geometry.dist_eq_iff_dist_orthogonal_projection_eq 0.114301 s: euclidean_geometry.dist_set_eq_iff_dist_orthogonal_projection_eq 0.129157 s: euclidean_geometry.exists_dist_eq_iff_exists_dist_orthogonal_projection_eq 1.424220 s: euclidean_geometry.exists_unique_dist_eq_of_insert 0.003073 s: is_noetherian_span_of_finite 0.179375 s: finite_dimensional.span_of_finite 0.016967 s: set.fintype_prod._proof_1 0.000600 s: set.fintype_prod 0.000473 s: set.finite.prod 0.001097 s: set.finite.image2 0.000560 s: set.finite.vsub 0.063389 s: finite_dimensional_vector_span_of_finite 0.093258 s: finite_dimensional_direction_affine_span_of_finite 0.055867 s: finite_dimensional_direction_affine_span_of_fintype 0.005926 s: fintype.card_of_subtype 0.005830 s: finset.filter_eq 0.002034 s: set.inter_singleton_nonempty 0.000080 s: set.nonempty_def 0.091770 s: finset.affine_combination_apply 0.011063 s: eq_vadd_iff_vsub_eq 0.002882 s: finset.map_subtype_subset 0.029682 s: finset.eq_weighted_vsub_of_point_subset_iff_eq_weighted_vsub_of_point_subtype 0.176554 s: finset.eq_affine_combination_subset_iff_eq_affine_combination_subtype 0.002573 s: span_points.equations._eqn_1 0.000466 s: set.vsub_empty 0.002372 s: vector_span_empty 0.010959 s: span_points_nonempty 0.000937 s: affine_span_nonempty 0.001499 s: vector_span_range_eq_span_range_vsub_right 0.002312 s: finset.sum_update_of_mem 0.008943 s: finset.weighted_vsub_apply 0.010112 s: finset.weighted_vsub_empty 0.000252 s: set.mem_of_indicator_ne_zero 0.000759 s: finsupp.on_finset_apply 0.001669 s: finsupp.mem_support_on_finset 0.002725 s: finsupp.on_finset_sum 0.000245 s: set.indicator_apply 0.000115 s: finset.eq_empty_of_not_nonempty 0.022346 s: weighted_vsub_mem_vector_span 0.042143 s: mem_vector_span_iff_eq_weighted_vsub 0.013329 s: set.sum_indicator_subset_of_eq_zero 0.000432 s: set.sum_indicator_subset 0.001891 s: affine_map.linear 0.001998 s: affine_map.map_vadd' 0.001589 s: affine_map.map_vadd 0.084751 s: finset.affine_combination_linear 0.110898 s: finset.weighted_vsub_vadd_affine_combination 0.036232 s: finset.weighted_vsub_of_point_vadd_eq_of_sum_eq_one 0.053854 s: finset.affine_combination_eq_weighted_vsub_of_point_vadd_of_sum_eq_one 0.104610 s: finset.affine_combination_of_eq_one_of_eq_zero 0.027643 s: finset.weighted_vsub_of_point_indicator_subset 0.006921 s: finset.weighted_vsub_indicator_subset 0.103781 s: eq_affine_combination_of_mem_affine_span 0.015414 s: affine_map.linear_map_vsub 0.000696 s: vsub_eq_sub 0.110651 s: finset.affine_combination_vsub 0.109577 s: affine_combination_mem_affine_span 0.100822 s: mem_affine_span_iff_eq_affine_combination 0.099791 s: finset.affine_combination_indicator_subset 0.109855 s: affine_independent_iff_indicator_eq_of_affine_combination_eq 0.136693 s: exists_mem_inter_of_exists_mem_inter_affine_span_of_affine_independent 0.015333 s: mem_affine_span_iff_mem_of_affine_independent 0.003793 s: not_mem_affine_span_diff_of_affine_independent 0.008114 s: finset.weighted_vsub_of_point_map 0.004960 s: finset.weighted_vsub_map 0.007970 s: affine_independent_embedding_of_affine_independent 0.001963 s: affine_independent_subtype_of_affine_independent 0.258592 s: euclidean_geometry.exists_unique_dist_eq_of_affine_independent 0.020246 s: affine.simplex.independent 0.068019 s: affine.simplex.circumcenter_circumradius._proof_1 0.073901 s: affine.simplex.circumcenter_circumradius 0.071682 s: affine.simplex.circumcenter 0.140831 s: affine.simplex.monge_point 0.000401 s: affine.simplex.points_with_circumcenter_index 0.000144 s: derive_fintype.finset_above 0.000283 s: derive_fintype.mk_fintype 0.000111 s: affine.simplex.points_with_circumcenter_index.cases_on 0.000049 s: derive_fintype.finset_in 0.016395 s: multiset.nodup_add 0.000638 s: finset.disj_union._proof_1 0.000142 s: finset.disj_union 0.002491 s: derive_fintype.finset_above.union._proof_1 0.002902 s: finset.mem_disj_union 0.002056 s: derive_fintype.finset_above.union._proof_2 0.000565 s: derive_fintype.finset_above.union 0.001024 s: derive_fintype.finset_in.mk._proof_1 0.000291 s: derive_fintype.finset_in.mk 0.000699 s: equiv.psigma_equiv_sigma._match_1 0.000230 s: equiv.psigma_equiv_sigma._proof_1 0.000482 s: equiv.psigma_equiv_sigma._match_2 0.000220 s: equiv.psigma_equiv_sigma._proof_2 0.000503 s: equiv.psigma_equiv_sigma 0.000246 s: psigma.fintype 0.000137 s: psigma.elim 0.000181 s: affine.simplex.points_with_circumcenter_index.no_confusion_type 0.000263 s: affine.simplex.points_with_circumcenter_index.no_confusion 0.000190 s: affine.simplex.points_with_circumcenter_index.point_index.inj 0.000114 s: affine.simplex.points_with_circumcenter_index.point_index.inj_arrow 0.001181 s: derive_fintype.finset_above.cons._proof_1 0.004299 s: derive_fintype.finset_above.cons._proof_2 0.001511 s: derive_fintype.finset_above.cons 0.001013 s: derive_fintype.finset_above.nil._proof_1 0.000132 s: derive_fintype.finset_above.nil 0.002002 s: derive_fintype.finset_above.mem_union_left 0.000947 s: derive_fintype.finset_in.mem_mk 0.001134 s: derive_fintype.finset_above.mem_union_right 0.000726 s: derive_fintype.finset_above.mem_cons_self 0.003795 s: affine.simplex.points_with_circumcenter_index.fintype 0.059673 s: affine.simplex.points_with_circumcenter._main 0.071966 s: affine.simplex.points_with_circumcenter 0.013548 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter._main 0.000061 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter 0.000121 s: affine.simplex.monge_point_weights_with_circumcenter._main 0.000024 s: affine.simplex.monge_point_weights_with_circumcenter 0.126499 s: affine.simplex.monge_point_eq_smul_vsub_vadd_circumcenter 0.000427 s: affine.simplex.centroid_weights_with_circumcenter._main 0.000049 s: affine.simplex.centroid_weights_with_circumcenter 0.072907 s: finset.centroid_def 0.000180 s: affine.simplex.point_index_embedding._proof_1 0.000117 s: affine.simplex.point_index_embedding 0.012099 s: affine.simplex.sum_points_with_circumcenter 0.001186 s: affine.simplex.centroid_weights_with_circumcenter._main.equations._eqn_1 0.000389 s: affine.simplex.centroid_weights_with_circumcenter.equations._eqn_1 0.000102 s: affine.simplex.centroid_weights_with_circumcenter._main.equations._eqn_2 0.000051 s: affine.simplex.centroid_weights_with_circumcenter.equations._eqn_2 0.061770 s: affine.simplex.points_with_circumcenter_point 0.000397 s: finset.centroid_weights.equations._eqn_1 0.388623 s: affine.simplex.centroid_eq_affine_combination_of_points_with_circumcenter 0.000121 s: affine.simplex.circumcenter_weights_with_circumcenter._main 0.000017 s: affine.simplex.circumcenter_weights_with_circumcenter 0.073898 s: affine.simplex.points_with_circumcenter_eq_circumcenter 0.140389 s: affine.simplex.circumcenter_eq_affine_combination_of_points_with_circumcenter 0.000229 s: affine.simplex.circumcenter_weights_with_circumcenter._main.equations._eqn_1 0.000089 s: affine.simplex.circumcenter_weights_with_circumcenter.equations._eqn_1 0.000892 s: affine.simplex.monge_point_weights_with_circumcenter._main.equations._eqn_1 0.000084 s: affine.simplex.monge_point_weights_with_circumcenter.equations._eqn_1 0.000184 s: finset.card_fin 0.000139 s: affine.simplex.circumcenter_weights_with_circumcenter._main.equations._eqn_2 0.000065 s: affine.simplex.circumcenter_weights_with_circumcenter.equations._eqn_2 0.001441 s: affine.simplex.monge_point_weights_with_circumcenter._main.equations._eqn_2 0.000166 s: affine.simplex.monge_point_weights_with_circumcenter.equations._eqn_2 0.019753 s: div_add' 0.345874 s: affine.simplex.monge_point_eq_affine_combination_of_points_with_circumcenter 0.006561 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter._main.equations._eqn_1 0.002442 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter.equations._eqn_1 0.001285 s: finset.card_compl 0.000820 s: finset.compl_eq_univ_sdiff 0.001337 s: finset.mem_compl 0.001110 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter._main.equations._eqn_2 0.000122 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter.equations._eqn_2 0.029597 s: affine.simplex.monge_point_vsub_face_centroid_weights_with_circumcenter_eq_sub 0.177951 s: affine.simplex.monge_point_vsub_face_centroid_eq_weighted_vsub_of_points_with_circumcenter 0.000285 s: affine.simplex.point_weights_with_circumcenter._main 0.000033 s: affine.simplex.point_weights_with_circumcenter 0.000402 s: affine.simplex.point_weights_with_circumcenter._main.equations._eqn_1 0.000201 s: affine.simplex.point_weights_with_circumcenter.equations._eqn_1 0.149279 s: affine.simplex.point_eq_affine_combination_of_points_with_circumcenter 0.018704 s: sesq_form.sesq_add_right 0.003780 s: sesq_form.sesq_smul_right 0.001563 s: sesq_form.smul_right 0.000205 s: opposite.unop_zero 0.008691 s: sesq_form.zero_right 0.004779 s: sesq_form.is_add_monoid_hom_right 0.007131 s: sesq_form.sum_right 0.003784 s: is_R_or_C.conj_to_ring_equiv._proof_1 0.001283 s: is_R_or_C.conj_to_ring_equiv._proof_2 0.000129 s: opposite.add_group._proof_1 0.000133 s: opposite.add_group._proof_2 0.000154 s: opposite.add_group._proof_3 0.000404 s: opposite.add_group._proof_4 0.000398 s: opposite.add_group._proof_5 0.000069 s: opposite.has_neg 0.000047 s: opposite.has_sub 0.002309 s: opposite.add_group._proof_6 0.004675 s: opposite.add_group._proof_7 0.002087 s: opposite.add_group 0.000158 s: opposite.add_comm_group._proof_1 0.000113 s: opposite.add_comm_group._proof_2 0.000131 s: opposite.add_comm_group._proof_3 0.000897 s: opposite.add_comm_group._proof_4 0.000328 s: opposite.add_comm_group._proof_5 0.000640 s: opposite.add_comm_group._proof_6 0.000479 s: opposite.add_comm_group._proof_7 0.000217 s: opposite.add_comm_group._proof_8 0.004070 s: opposite.add_comm_group 0.000091 s: opposite.ring._proof_1 0.000079 s: opposite.ring._proof_2 0.000090 s: opposite.ring._proof_3 0.000352 s: opposite.ring._proof_4 0.000249 s: opposite.ring._proof_5 0.000395 s: opposite.ring._proof_6 0.000411 s: opposite.ring._proof_7 0.000090 s: opposite.ring._proof_8 0.000118 s: opposite.ring._proof_9 0.000231 s: opposite.ring._proof_10 0.000163 s: opposite.ring._proof_11 0.000352 s: opposite.ring._proof_12 0.000271 s: opposite.ring._proof_13 0.000109 s: opposite.ring._proof_14 0.000126 s: opposite.ring._proof_15 0.010560 s: opposite.ring 0.000093 s: opposite.comm_ring._proof_1 0.000131 s: opposite.comm_ring._proof_2 0.000073 s: opposite.comm_ring._proof_3 0.001060 s: opposite.comm_ring._proof_4 0.000439 s: opposite.comm_ring._proof_5 0.001179 s: opposite.comm_ring._proof_6 0.000536 s: opposite.comm_ring._proof_7 0.000171 s: opposite.comm_ring._proof_8 0.000094 s: opposite.comm_ring._proof_9 0.000099 s: opposite.comm_ring._proof_10 0.000090 s: opposite.comm_ring._proof_11 0.000244 s: opposite.comm_ring._proof_12 0.000176 s: opposite.comm_ring._proof_13 0.000108 s: opposite.comm_ring._proof_14 0.000114 s: opposite.comm_ring._proof_15 0.000132 s: opposite.comm_semigroup._proof_1 0.000486 s: opposite.comm_semigroup._proof_2 0.000211 s: opposite.comm_semigroup 0.000138 s: opposite.comm_ring._proof_16 0.003661 s: opposite.comm_ring 0.000156 s: opposite.field._proof_1 0.000077 s: opposite.field._proof_2 0.000108 s: opposite.field._proof_3 0.000357 s: opposite.field._proof_4 0.000267 s: opposite.field._proof_5 0.000587 s: opposite.field._proof_6 0.000406 s: opposite.field._proof_7 0.000110 s: opposite.field._proof_8 0.000072 s: opposite.field._proof_9 0.000073 s: opposite.field._proof_10 0.000094 s: opposite.field._proof_11 0.000250 s: opposite.field._proof_12 0.000201 s: opposite.field._proof_13 0.000089 s: opposite.field._proof_14 0.000113 s: opposite.field._proof_15 0.000091 s: opposite.field._proof_16 0.000042 s: opposite.has_inv 0.000059 s: opposite.field._proof_17 0.000062 s: opposite.field._proof_18 0.000058 s: opposite.field._proof_19 0.000188 s: opposite.field._proof_20 0.000187 s: opposite.field._proof_21 0.000598 s: opposite.field._proof_22 0.000139 s: opposite.op_injective 0.000283 s: opposite.nontrivial._match_1 0.000092 s: opposite.nontrivial 0.000108 s: opposite.field._proof_23 0.019530 s: opposite.field._proof_24 0.014724 s: opposite.field._proof_25 0.010431 s: opposite.field 0.012851 s: is_R_or_C.conj_to_ring_equiv._proof_3 0.000320 s: opposite.op_add 0.000119 s: opposite.add_right_cancel_semigroup._proof_1 0.000895 s: opposite.add_right_cancel_semigroup._proof_2 0.000245 s: opposite.add_right_cancel_semigroup 0.005435 s: is_R_or_C.conj_to_ring_equiv._proof_4 0.000751 s: is_R_or_C.conj_to_ring_equiv 0.000305 s: sesq_form_of_inner._proof_1 0.000623 s: sesq_form_of_inner._proof_2 0.000351 s: sesq_form_of_inner._proof_3 0.000914 s: sesq_form_of_inner._proof_4 0.003931 s: sesq_form_of_inner 0.002803 s: sum_inner 0.003261 s: sesq_form.sesq_add_left 0.002232 s: sesq_form.sesq_smul_left 0.001652 s: sesq_form.smul_left 0.006546 s: sesq_form.zero_left 0.003386 s: sesq_form.is_add_monoid_hom_left 0.008537 s: sesq_form.sum_left 0.002685 s: inner_sum 0.006369 s: real_inner_smul_left 0.003816 s: real_inner_smul_right 0.002332 s: norm_sub_mul_self 0.133558 s: re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two 0.013934 s: real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two 0.012658 s: finset.sum_div 0.147142 s: inner_sum_smul_sum_smul_of_sum_eq_zero 0.134139 s: euclidean_geometry.inner_weighted_vsub 0.134772 s: affine.simplex.sum_monge_point_weights_with_circumcenter 0.001261 s: finset.centroid_weights_apply 0.037940 s: finset.sum_centroid_weights_eq_one_of_card_ne_zero 0.005178 s: multiset.card_eq_zero 0.000530 s: finset.card_eq_zero 0.004991 s: finset.card_pos 0.002337 s: finset.sum_centroid_weights_eq_one_of_nonempty 0.124671 s: affine.simplex.sum_centroid_weights_with_circumcenter 0.021920 s: affine.simplex.sum_monge_point_vsub_face_centroid_weights_with_circumcenter 0.000175 s: affine.simplex.points_with_circumcenter_index.point_index.inj_eq 0.000132 s: pi.const_one 0.000291 s: affine.simplex.point_weights_with_circumcenter._main.equations._eqn_2 0.000058 s: affine.simplex.point_weights_with_circumcenter.equations._eqn_2 0.003031 s: affine.simplex.sum_point_weights_with_circumcenter 0.055677 s: affine.simplex.circumradius 0.069602 s: affine.simplex.circumcenter_circumradius_unique_dist_eq 0.070896 s: affine.simplex.dist_circumcenter_eq_circumradius 0.070394 s: affine.simplex.dist_circumcenter_eq_circumradius' 0.242647 s: affine.simplex.inner_monge_point_vsub_face_centroid_vsub 0.002612 s: finset.sum_centroid_weights_eq_one_of_card_eq_add_one 0.001074 s: centroid_mem_affine_span_of_card_eq_add_one 0.059840 s: affine.simplex.circumcenter_mem_affine_span 0.231480 s: affine.simplex.monge_point_mem_affine_span 0.192374 s: affine.simplex.monge_point_mem_monge_plane 0.184503 s: affine.simplex.direction_monge_plane 0.137682 s: convex.combo_to_vadd 0.029004 s: affine_map.add_comm_group._proof_1 0.002286 s: affine_map.cases_on 0.006038 s: affine_map.ext 0.020417 s: affine_map.add_comm_group._proof_2 0.003383 s: affine_map.add_comm_group._proof_3 0.016729 s: affine_map.add_comm_group._proof_4 0.021025 s: affine_map.add_comm_group._proof_5 0.023187 s: affine_map.add_comm_group._proof_6 0.019981 s: affine_map.add_comm_group._proof_7 0.025135 s: affine_map.add_comm_group._proof_8 0.033415 s: affine_map.add_comm_group._proof_9 0.008891 s: affine_map.add_comm_group._proof_10 0.017334 s: affine_map.add_comm_group._proof_11 0.021364 s: affine_map.add_comm_group._proof_12 0.023010 s: affine_map.add_comm_group._proof_13 0.024690 s: affine_map.add_comm_group._proof_14 0.029765 s: affine_map.add_comm_group._proof_15 0.061199 s: affine_map.add_comm_group._proof_16 0.091010 s: affine_map.add_comm_group._proof_17 0.033930 s: affine_map.add_comm_group._proof_18 0.114151 s: affine_map.add_comm_group 0.020193 s: affine_map.add_torsor._proof_1 0.012375 s: affine_map.add_torsor._proof_2 0.018541 s: affine_map.add_torsor._proof_3 0.009135 s: affine_map.add_torsor._proof_4 0.000059 s: function.const_apply 0.004057 s: affine_map.const._proof_1 0.001222 s: affine_map.const 0.000397 s: affine_map.nonempty 0.028305 s: affine_map.add_torsor._proof_5 0.040626 s: affine_map.add_torsor._proof_6 0.032946 s: affine_map.add_torsor 0.004767 s: linear_map.to_affine_map._proof_1 0.005191 s: linear_map.to_affine_map 0.008128 s: affine_map.line_map._proof_1 0.016346 s: affine_map.line_map 0.011678 s: affine_map.line_map_apply 0.013024 s: affine_map.apply_line_map 0.077911 s: convex.combo_affine_apply 0.079374 s: convex.affine_preimage 0.074579 s: convex.linear_preimage 0.074084 s: convex.is_linear_preimage 0.028578 s: convex_Iic 0.078317 s: convex_halfspace_le 0.099760 s: convex_halfspace_im_le 0.000409 s: bifunctor 0.000576 s: bitraversable 0.000110 s: bifunctor.bimap 0.001857 s: is_lawful_bifunctor 0.000104 s: bitraversable.to_bifunctor 0.000078 s: bitraversable.bitraverse 0.023324 s: is_lawful_bitraversable 0.000068 s: sum.bifunctor 0.000242 s: sum.bitraverse._main 0.000107 s: sum.bitraverse 0.000078 s: sum.bitraversable 0.000513 s: sum.is_lawful_bifunctor._proof_1 0.001101 s: sum.is_lawful_bifunctor._proof_2 0.000235 s: sum.is_lawful_bifunctor 0.000481 s: sum.bitraverse._main.equations._eqn_1 0.000261 s: sum.bitraverse.equations._eqn_1 0.000303 s: sum.bitraverse._main.equations._eqn_2 0.000264 s: sum.bitraverse.equations._eqn_2 0.001761 s: sum.is_lawful_bitraversable._proof_1 0.005087 s: sum.is_lawful_bitraversable._proof_2 0.002269 s: sum.is_lawful_bitraversable._proof_3 0.002444 s: sum.is_lawful_bitraversable._proof_4 0.000945 s: sum.is_lawful_bitraversable 0.000510 s: sum.is_lawful_bitraversable.equations._eqn_1 0.002625 s: convex_cone 0.000992 s: convex_cone.carrier 0.000179 s: convex_cone.has_lt 0.010373 s: direct_sum.induction_on 0.000136 s: unique.default_eq 0.007183 s: direct_sum.id._proof_1 0.001477 s: direct_sum.id._proof_2 0.000725 s: direct_sum.id._proof_3 0.002858 s: direct_sum.id 0.000306 s: direct_sum.lid._proof_1 0.000824 s: ennreal.coe_tsum 0.001189 s: equiv.exists_unique_congr 0.000076 s: mul_equiv.refl._proof_1 0.000083 s: mul_equiv.refl._proof_2 0.000084 s: mul_equiv.refl._proof_3 0.000293 s: mul_equiv.refl 0.000077 s: mul_equiv.inhabited 0.000103 s: mul_equiv.inhabited.equations._eqn_1 0.001363 s: category_theory.reflects_isomorphisms 0.001002 s: category_theory.reflects_isomorphisms.dcases_on 0.000090 s: trunc.lift._proof_1 0.000124 s: trunc.lift 0.000411 s: trunc.lift_mk 0.002449 s: flow 0.000128 s: flow.reverse._proof_1 0.000061 s: flow.reverse._proof_2 0.000057 s: flow.reverse._proof_3 0.000055 s: flow.reverse._proof_4 0.000055 s: flow.reverse._proof_5 0.000490 s: flow.to_fun 0.000153 s: flow.has_coe_to_fun 0.000106 s: flow.reverse._proof_6 0.000686 s: flow.cont' 0.001062 s: flow.continuous 0.001391 s: flow.reverse._proof_7 0.000622 s: flow.map_add' 0.000725 s: flow.map_add 0.000863 s: flow.reverse._proof_8 0.000412 s: flow.map_zero' 0.000269 s: flow.map_zero_apply 0.000655 s: flow.reverse._proof_9 0.001061 s: flow.reverse 0.002566 s: set.image_const_add_Ici 0.000768 s: set.image_sub_const_Ici 0.000034 s: wseq 0.000139 s: computation.lift_rel 0.000315 s: wseq.lift_rel_o._main 0.000172 s: wseq.lift_rel_o 0.000110 s: stream.corec' 0.000147 s: computation.corec.F._match_1 0.000235 s: computation.corec.F._main 0.000047 s: computation.corec.F 0.000153 s: stream.corec_def 0.000046 s: stream.head 0.001044 s: stream.eta 0.000057 s: stream.drop 0.000222 s: stream.tail_eq_drop 0.000836 s: stream.tail_map 0.000211 s: stream.head_map 0.001156 s: stream.map_eq 0.000274 s: stream.head_iterate 0.000134 s: stream.iterate.equations._eqn_1 0.000098 s: stream.tail.equations._eqn_1 0.001673 s: stream.tail_iterate 0.000474 s: stream.corec_eq 0.000391 s: stream.corec'_eq 0.003293 s: computation.corec._proof_1 0.000293 s: computation.corec 0.000049 s: seq1 0.000438 s: wseq.destruct._match_1 0.000243 s: seq.tail._main 0.000022 s: seq.tail 0.000138 s: seq.destruct 0.000141 s: wseq.destruct 0.000248 s: wseq.lift_rel 0.000091 s: wseq.equiv 0.001087 s: seq.cons._main 0.000028 s: seq.cons 0.000037 s: wseq.think 0.000090 s: wseq.equiv.equations._eqn_1 0.001470 s: computation.lift_rel.imp 0.001724 s: wseq.lift_rel_o.imp 0.000249 s: wseq.lift_rel_o.imp_right 0.001154 s: wseq.lift_rel_destruct 0.000867 s: wseq.lift_rel_destruct_iff 0.000363 s: computation.tail._proof_1 0.000190 s: computation.tail 0.000180 s: computation.destruct._match_1 0.000095 s: computation.destruct 0.002025 s: computation.destruct_eq_think 0.000109 s: computation.rmap._main 0.000076 s: computation.rmap 0.000380 s: wseq.think.equations._eqn_1 0.000214 s: wseq.destruct.equations._eqn_1 0.000308 s: stream.tail_cons 0.003141 s: computation.corec_eq 0.001033 s: seq.cons._main._proof_1 0.000755 s: seq.cons._main.equations._eqn_1 0.000197 s: seq.cons.equations._eqn_1 0.000199 s: seq.destruct.equations._eqn_1 0.002367 s: seq.destruct_cons 0.000346 s: wseq.destruct._match_1.equations._eqn_2 0.000194 s: computation.rmap._main.equations._eqn_2 0.000099 s: computation.rmap.equations._eqn_2 0.001399 s: wseq.destruct_think 0.000977 s: computation.lift_rel_think_left 0.001173 s: wseq.lift_rel_think_left 0.000335 s: computation.lift_rel.refl 0.000340 s: wseq.lift_rel_o._main.equations._eqn_1 0.000174 s: wseq.lift_rel_o.equations._eqn_1 0.000540 s: wseq.lift_rel_o._main.equations._eqn_4 0.000398 s: wseq.lift_rel_o.equations._eqn_4 0.001191 s: wseq.lift_rel.refl 0.000084 s: wseq.equiv.refl 0.000449 s: wseq.think_equiv 0.001500 s: pgame.state 0.000266 s: pgame.state.turn_bound 0.000034 s: pgame.left_moves 0.000107 s: pgame.right_moves._main 0.000015 s: pgame.right_moves 0.000239 s: pgame.move_left._main 0.000022 s: pgame.move_left 0.000169 s: pgame.move_right._main 0.000024 s: pgame.move_right 0.002054 s: pgame.relabelling 0.000166 s: pgame.state.L 0.000133 s: pgame.state.R 0.000535 s: pgame.state.left_bound 0.000518 s: pgame.turn_bound_ne_zero_of_left_move 0.000624 s: pgame.state.right_bound 0.000353 s: pgame.turn_bound_ne_zero_of_right_move 0.000519 s: pgame.turn_bound_of_left 0.000278 s: pgame.turn_bound_of_right 0.007984 s: pgame.of_aux._main 0.000070 s: pgame.of_aux 0.003752 s: pgame.of_aux._main._proof_1 0.003323 s: pgame.of_aux._main._proof_2 0.000494 s: pgame.of_aux._main._proof_3 0.000292 s: pgame.of_aux._main._proof_4 0.046552 s: pgame.of_aux_relabelling._main 0.012064 s: model_with_corners 0.002338 s: charted_space 0.000308 s: charted_space.atlas 0.001778 s: local_equiv.trans'._proof_1 0.000767 s: local_equiv.map_target 0.001887 s: local_equiv.trans'._proof_2 0.002822 s: local_equiv.trans'._proof_3 0.002057 s: local_equiv.trans'._proof_4 0.001221 s: local_equiv.trans' 0.000509 s: local_homeomorph.trans'._proof_1 0.000490 s: local_homeomorph.trans'._proof_2 0.000326 s: local_homeomorph.trans'._proof_3 0.000323 s: local_homeomorph.trans'._proof_4 0.000616 s: local_equiv.source_subset_preimage_target 0.000864 s: local_homeomorph.trans'._proof_5 0.000430 s: local_equiv.target_subset_preimage_source 0.000973 s: local_homeomorph.trans'._proof_6 0.003455 s: local_homeomorph.trans' 0.000643 s: local_homeomorph.is_image.of_symm_preimage_eq 0.000925 s: local_homeomorph.restr_open._proof_1 0.000304 s: local_homeomorph.restr_open._proof_2 0.000404 s: local_homeomorph.restr_open 0.001141 s: local_equiv.is_image.symm_iff 0.000728 s: local_equiv.is_image.iff_symm_preimage_eq 0.000298 s: local_equiv.is_image.of_symm_preimage_eq 0.000340 s: local_equiv.restr._proof_1 0.000148 s: local_equiv.restr 0.003086 s: local_homeomorph.restr_open_to_local_equiv 0.000352 s: local_equiv.restr_source 0.002679 s: local_homeomorph.trans._proof_1 0.001026 s: local_homeomorph.trans 0.000497 s: equiv.to_local_equiv._proof_1 0.000484 s: equiv.to_local_equiv._proof_2 0.000138 s: equiv.to_local_equiv._proof_3 0.000147 s: equiv.to_local_equiv._proof_4 0.001415 s: equiv.to_local_equiv 0.000632 s: homeomorph.to_local_homeomorph._proof_1 0.000276 s: homeomorph.to_local_homeomorph._proof_2 0.000215 s: homeomorph.to_local_homeomorph._proof_3 0.000306 s: homeomorph.to_local_homeomorph._proof_4 0.001691 s: homeomorph.to_local_homeomorph._proof_5 0.001607 s: homeomorph.to_local_homeomorph._proof_6 0.001634 s: homeomorph.to_local_homeomorph 0.000403 s: homeomorph.refl 0.000099 s: local_homeomorph.refl 0.000162 s: local_homeomorph.restr 0.000319 s: local_homeomorph.eq_on_source 0.000103 s: local_equiv.eq_on_source 0.000280 s: local_equiv.eq_on_source.equations._eqn_1 0.000115 s: set.eq_on_refl 0.002146 s: local_equiv.eq_on_source_setoid._proof_1 0.000129 s: local_equiv.eq_on_source_setoid 0.000448 s: local_homeomorph.eq_on_source_iff 0.001895 s: local_homeomorph.setoid._proof_1 0.000156 s: local_homeomorph.setoid 0.003172 s: structure_groupoid 0.000772 s: structure_groupoid.members 0.000186 s: structure_groupoid.has_mem 0.001554 s: pregroupoid 0.000605 s: pregroupoid.property 0.001268 s: pregroupoid.comp 0.005650 s: pregroupoid.groupoid._proof_1 0.001737 s: pregroupoid.groupoid._proof_2 0.000601 s: pregroupoid.id_mem 0.002361 s: pregroupoid.groupoid._proof_3 0.000800 s: pregroupoid.locality 0.001121 s: local_homeomorph.map_target 0.005507 s: pregroupoid.groupoid._proof_4 0.000868 s: pregroupoid.congr 0.000207 s: set.eq_on.image_eq 0.000345 s: local_equiv.eq_on_source.source_eq 0.000960 s: local_equiv.eq_on_source.target_eq 0.000516 s: set.eq_on_of_left_inv_on_of_right_inv_on 0.000269 s: set.left_inv_on.congr_left 0.000152 s: set.right_inv_on.congr_right 0.000339 s: local_equiv.eq_on_source.eq_on 0.002286 s: local_equiv.eq_on_source.symm' 0.007808 s: local_homeomorph.eq_on_source.symm' 0.003431 s: pregroupoid.groupoid._proof_5 0.001121 s: pregroupoid.groupoid 0.000992 s: model_with_corners.to_local_equiv 0.000376 s: model_with_corners.has_coe_to_fun 0.000210 s: model_with_corners.symm 0.001139 s: model_with_corners.source_eq 0.001764 s: model_with_corners.left_inv 0.005724 s: times_cont_diff_groupoid._proof_1 0.001985 s: linear_map.is_linear 0.004407 s: is_bounded_linear_map.id 0.000300 s: times_cont_diff_id 0.002994 s: times_cont_diff_groupoid._proof_2 0.000585 s: times_cont_diff_within_at_inter 0.001649 s: times_cont_diff_on_of_locally_times_cont_diff_on 0.001034 s: model_with_corners.continuous_inv_fun 0.000691 s: model_with_corners.continuous_symm 0.005083 s: times_cont_diff_groupoid._proof_3 0.004762 s: times_cont_diff_groupoid._proof_4 0.002869 s: times_cont_diff_groupoid 0.003341 s: smooth_manifold_with_corners 0.000331 s: charted_space.chart_at 0.000971 s: charted_space.lift_prop_within_at 0.001363 s: times_cont_diff_within_at_prop 0.000614 s: times_cont_mdiff_within_at 0.000445 s: times_cont_mdiff_at 0.000444 s: times_cont_mdiff 0.000501 s: smooth 0.000246 s: local_equiv.trans._proof_1 0.001063 s: local_equiv.trans 0.000348 s: ext_chart_at 0.000381 s: times_cont_mdiff_on 0.000861 s: times_cont_mdiff_on.equations._eqn_1 0.000726 s: times_cont_mdiff_within_at_univ 0.000803 s: times_cont_mdiff.equations._eqn_1 0.002992 s: times_cont_mdiff_on_univ 0.000440 s: ext_chart_at.equations._eqn_1 0.000629 s: local_equiv.trans_target 0.000962 s: model_with_corners.target_eq 0.000570 s: model_with_corners.to_local_equiv_coe_symm 0.004132 s: local_equiv.coe_trans_symm 0.003044 s: local_homeomorph.coe_coe_symm 0.001062 s: local_equiv.trans_source 0.000343 s: local_homeomorph.coe_coe 0.000796 s: local_homeomorph.right_inv 0.000236 s: function.left_inverse.right_inv_on_range 0.000422 s: model_with_corners.left_inverse 0.000529 s: model_with_corners.right_inv_on 0.000485 s: model_with_corners.right_inv 0.004596 s: structure_groupoid.local_invariant_prop 0.002630 s: has_groupoid 0.000329 s: structure_groupoid.maximal_atlas 0.001052 s: continuous_within_at.preimage_mem_nhds_within 0.001512 s: structure_groupoid.local_invariant_prop.is_local 0.000739 s: local_homeomorph.continuous_on_symm 0.016230 s: local_homeomorph.trans_to_local_equiv 0.000684 s: local_homeomorph.map_source 0.001257 s: local_homeomorph.left_inv 0.006841 s: local_homeomorph.coe_trans_symm 0.001002 s: local_homeomorph.cases_on 0.001626 s: local_homeomorph.eq_of_local_equiv_eq 0.000689 s: local_equiv.cases_on 0.002639 s: local_equiv.symm_symm 0.000931 s: local_homeomorph.symm_symm 0.003114 s: local_homeomorph.coe_trans 0.001665 s: structure_groupoid.local_invariant_prop.congr 0.001514 s: structure_groupoid.local_invariant_prop.right_invariance 0.002018 s: structure_groupoid.locality' 0.001435 s: structure_groupoid.locality 0.000660 s: charted_space.mem_chart_source 0.000957 s: structure_groupoid.eq_on_source' 0.000629 s: structure_groupoid.eq_on_source 0.000982 s: structure_groupoid.trans' 0.001146 s: structure_groupoid.trans 0.000827 s: mem_maximal_atlas_iff 0.000634 s: charted_space.chart_mem_atlas 0.000080 s: local_equiv.of_set._proof_1 0.000036 s: local_equiv.of_set._proof_2 0.000073 s: local_equiv.of_set._proof_3 0.000041 s: local_equiv.of_set._proof_4 0.000211 s: local_equiv.of_set 0.000130 s: local_homeomorph.of_set._proof_1 0.000340 s: local_homeomorph.of_set._proof_2 0.000157 s: local_homeomorph.of_set._proof_3 0.000154 s: local_homeomorph.of_set._proof_4 0.001037 s: local_homeomorph.of_set._proof_5 0.000614 s: local_homeomorph.of_set._proof_6 0.001503 s: local_homeomorph.of_set 0.001112 s: local_equiv.coe_symm_mk 0.000686 s: local_equiv.coe_mk 0.000535 s: local_equiv.no_confusion_type 0.000723 s: local_equiv.no_confusion 0.001915 s: local_equiv.mk.inj 0.006716 s: local_equiv.mk.inj_eq 0.011931 s: local_equiv.ext 0.001736 s: local_equiv.coe_trans 0.249310 s: local_equiv.trans_assoc 0.057097 s: local_homeomorph.trans_assoc 0.008894 s: local_equiv.trans_source' 0.001267 s: local_equiv.symm_image_target_inter_eq 0.001166 s: local_equiv.trans_source'' 0.000253 s: set.eq_on.mono 0.004197 s: local_equiv.eq_on_source.trans' 0.025886 s: local_homeomorph.eq_on_source.trans' 0.000175 s: local_equiv.of_set_source 0.000392 s: local_equiv.of_set_coe 0.008371 s: local_equiv.trans_self_symm 0.013725 s: local_homeomorph.trans_self_symm 0.006156 s: local_homeomorph.ext 0.000924 s: local_homeomorph.of_set_to_local_equiv 0.002707 s: local_homeomorph.restr_to_local_equiv 0.000628 s: local_homeomorph.is_image.preimage_eq 0.002595 s: local_homeomorph.is_image.compl 0.002853 s: nhds_within_inter 0.009015 s: nhds_within_inter_of_mem 0.000441 s: local_homeomorph.nhds_within_source_inter 0.001413 s: filter.le_map_of_right_inverse 0.000807 s: filter.eventually_eq.filter_mono 0.000358 s: set.eq_on.eventually_eq 0.000244 s: set.eq_on.eventually_eq_of_mem 0.000325 s: set.right_inv_on.eq_on 0.000157 s: set.left_inv_on.eq 0.001457 s: set.left_inv_on.right_inv_on_image 0.000728 s: set.left_inv_on.maps_to 0.000092 s: set.surj_on_image 0.001348 s: set.left_inv_on.map_nhds_within_eq 0.000600 s: local_homeomorph.left_inv_on 0.000642 s: local_homeomorph.continuous_at 0.001029 s: local_homeomorph.continuous_at_symm 0.002079 s: local_homeomorph.map_nhds_within_eq 0.001037 s: local_equiv.is_image.image_eq 0.000602 s: local_homeomorph.is_image.image_eq 0.000918 s: local_homeomorph.nhds_within_target_inter 0.001076 s: local_homeomorph.is_image.map_nhds_within_eq 0.000758 s: local_homeomorph.is_image.closure 0.001413 s: local_homeomorph.is_image.interior 0.000709 s: local_homeomorph.is_image.of_preimage_eq 0.000520 s: local_homeomorph.preimage_interior 0.030394 s: local_homeomorph.trans_of_set 0.000236 s: interior_mono 0.000424 s: interior_inter 0.336945 s: local_homeomorph.restr_source_inter 0.002445 s: local_homeomorph.trans_of_set' 0.000474 s: local_equiv.restr_coe 0.105604 s: local_equiv.restr_trans 0.045292 s: local_homeomorph.restr_trans 0.020435 s: structure_groupoid.compatible_of_mem_maximal_atlas 0.004026 s: structure_groupoid.local_invariant_prop.left_invariance 0.033894 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_aux 0.002711 s: has_groupoid.compatible 0.002069 s: structure_groupoid.compatible 0.001481 s: structure_groupoid.mem_maximal_atlas_of_mem_atlas 0.000422 s: structure_groupoid.chart_mem_maximal_atlas 0.003443 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart 0.001410 s: times_cont_diff_within_at_prop.equations._eqn_1 0.004078 s: continuous_at.preimage_mem_nhds 0.001142 s: times_cont_diff_within_at.comp' 0.000801 s: mem_groupoid_of_pregroupoid 0.029301 s: times_cont_diff_within_at_local_invariant_prop 0.007646 s: smooth_manifold_with_corners.compatible 0.001224 s: smooth_manifold_with_corners.to_has_groupoid 0.000871 s: model_with_corners.to_local_equiv_coe 0.033353 s: times_cont_mdiff_on_iff 0.016752 s: times_cont_mdiff_iff 0.003091 s: smooth_iff 0.001221 s: nat.partrec.code 0.000078 s: nat.partrec.code.of_nat_code._match_1 0.001957 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001489 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_2 0.001270 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_3 0.001507 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_4 0.000990 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_5 0.000888 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_6 0.000496 s: of_nat_code._main._pack._wf_rec_mk_dec_tactic._aux_7 0.001364 s: nat.sqrt_le_self 0.000315 s: nat.sqrt_pos 0.007247 s: nat.unpair_lt 0.003678 s: nat.unpair_le_left 0.004156 s: nat.partrec.code.of_nat_code._main._pack 0.000032 s: nat.partrec.code.of_nat_code._main 0.000032 s: nat.partrec.code.of_nat_code 0.004808 s: nat.partrec.code.of_nat_code._main._pack.equations._eqn_3 0.000055 s: nat.partrec.code.of_nat_code._main.equations._eqn_3 0.000042 s: nat.partrec.code.of_nat_code.equations._eqn_3 0.006391 s: midpoint 0.015125 s: affine_map.line_map_vsub_left 0.016977 s: affine_map.left_vsub_line_map 0.003582 s: left_vsub_midpoint 0.002153 s: left_sub_midpoint 0.000203 s: classical.strong_indefinite_description._proof_1 0.000144 s: classical.strong_indefinite_description._proof_2 0.000252 s: classical.strong_indefinite_description 0.000097 s: classical.epsilon 0.000160 s: Lim 0.000105 s: Lim' 0.000215 s: ultrafilter.Lim 0.000128 s: ultrafilter.Lim.equations._eqn_1 0.000045 s: pi_Lp 0.000227 s: pi_Lp.semi_normed_group._proof_1 0.000419 s: pi_Lp.semi_normed_group._proof_2 0.000249 s: pi_Lp.semi_normed_group._proof_3 0.000907 s: pi_Lp.semi_normed_group._proof_4 0.000536 s: pi_Lp.semi_normed_group._proof_5 0.001220 s: pi_Lp.semi_normed_group._proof_6 0.000994 s: pi_Lp.semi_normed_group._proof_7 0.000229 s: pi_Lp.semi_normed_group._proof_8 0.001317 s: pseudo_emetric_space.replace_uniformity._proof_1 0.000625 s: pseudo_emetric_space.replace_uniformity 0.000162 s: pi_Lp.uniform_space 0.013194 s: pi_Lp.pseudo_emetric_aux._proof_1 0.004933 s: pi_Lp.pseudo_emetric_aux._proof_2 0.000532 s: finset.sum_eq_zero_iff 0.010763 s: real.div_rpow 0.007345 s: nnreal.div_rpow 0.005066 s: real.is_conjugate_exponent.mul_eq_add 0.000559 s: zero_eq_mul 0.018119 s: real.rpow_add' 0.006467 s: real.rpow_sub' 0.003821 s: nnreal.rpow_sub' 0.028695 s: nnreal.sum_div 0.023675 s: nnreal.div_le_iff 0.001180 s: real.rpow_lt_rpow_iff 0.000658 s: real.rpow_le_rpow_iff 0.006342 s: one_div_mul_cancel 0.052044 s: real.arith_mean_le_rpow_mean 0.033047 s: nnreal.arith_mean_le_rpow_mean 0.011249 s: nnreal.div_self_le 0.150081 s: nnreal.inner_le_Lp_mul_Lq 0.000208 s: real.rpow_le_one 0.017997 s: nnreal.rpow_le_one 0.092054 s: nnreal.is_greatest_Lp 0.056084 s: nnreal.Lp_add_le 0.043062 s: ennreal.Lp_add_le 0.048519 s: pi_Lp.pseudo_emetric_aux._proof_3 0.171940 s: uniform_space_of_edist._proof_1 0.007535 s: uniform_space_of_edist._proof_2 0.161219 s: uniform_space_of_edist._proof_3 0.158131 s: uniform_space_of_edist 0.018133 s: pi_Lp.pseudo_emetric_aux._proof_4 0.004479 s: pi_Lp.pseudo_emetric_aux._proof_5 0.042466 s: pi_Lp.pseudo_emetric_aux._proof_6 0.053581 s: pi_Lp.pseudo_emetric_aux._proof_7 0.014852 s: pi_Lp.pseudo_emetric_aux._proof_8 0.002881 s: pi_Lp.pseudo_emetric_aux 0.000124 s: pi_Lp.equiv 0.083129 s: pi_Lp.antilipschitz_with_equiv 0.094572 s: pi_Lp.lipschitz_with_equiv 0.001696 s: filter.comap_id 0.014238 s: pi_Lp.aux_uniformity_eq 0.000571 s: pi_Lp.pseudo_emetric_space._proof_1 0.000378 s: pi_Lp.pseudo_emetric_space 0.001053 s: pi_Lp.edist 0.016913 s: pi_Lp.pseudo_metric_space._proof_1 0.002445 s: ennreal.to_real_rpow 0.016933 s: pi_Lp.pseudo_metric_space._proof_2 0.002324 s: pi_Lp.pseudo_metric_space 0.001174 s: pi_Lp.dist 0.008826 s: pi_Lp.semi_normed_group._proof_9 0.003937 s: pi_Lp.semi_normed_group 0.000141 s: emetric_space.replace_uniformity._proof_1 0.000056 s: emetric_space.replace_uniformity._proof_2 0.000264 s: emetric_space.replace_uniformity._proof_3 0.001219 s: emetric_space.replace_uniformity._proof_4 0.001038 s: emetric_space.replace_uniformity 0.000338 s: pi_Lp.emetric_aux._proof_1 0.000134 s: pi_Lp.emetric_aux._proof_2 0.000340 s: pi_Lp.emetric_aux._proof_3 0.000651 s: pi_Lp.emetric_aux._proof_4 0.018677 s: pi_Lp.emetric_aux._proof_5 0.001536 s: pi_Lp.emetric_aux 0.002981 s: pi_Lp.emetric_space._proof_1 0.006863 s: pi_Lp.emetric_space 0.022087 s: pi_Lp.metric_space._proof_1 0.022566 s: pi_Lp.metric_space._proof_2 0.003500 s: pi_Lp.metric_space 0.000349 s: pi_Lp.normed_group._proof_1 0.033329 s: pi_Lp.normed_group 0.036212 s: pi_Lp.normed_group.equations._eqn_1 0.002144 s: subgroup.normal 0.000385 s: subgroup.one_mem 0.006940 s: subgroup.mul_mem 0.002072 s: quotient_group.left_rel._proof_1 0.000300 s: quotient_group.left_rel 0.000061 s: quotient_group.quotient 0.000754 s: subgroup.mul_mem_cancel_right 0.000209 s: subgroup.normal.conj_mem 0.003106 s: quotient_group.quotient.div_inv_monoid._proof_1 0.000244 s: quotient_group.mk 0.006016 s: quotient_group.quotient.div_inv_monoid._proof_2 0.000096 s: quotient_group.quotient.has_coe_t 0.005510 s: quotient_group.quotient.div_inv_monoid._proof_3 0.004803 s: quotient_group.quotient.div_inv_monoid._proof_4 0.005186 s: quotient_group.quotient.div_inv_monoid._proof_5 0.005680 s: quotient_group.quotient.div_inv_monoid._proof_6 0.007168 s: quotient_group.quotient.div_inv_monoid._proof_7 0.007826 s: quotient_group.quotient.div_inv_monoid._proof_8 0.001287 s: subgroup.normal.mem_comm 0.000733 s: quotient_group.quotient.div_inv_monoid._proof_9 0.002778 s: quotient_group.quotient.div_inv_monoid._proof_10 0.000908 s: quotient_group.quotient.div_inv_monoid._proof_11 0.007249 s: quotient_group.quotient.div_inv_monoid._proof_12 0.013980 s: quotient_group.quotient.div_inv_monoid 0.000021 s: char_buffer 0.000430 s: dlist 0.000434 s: parse_result 0.000030 s: parser 0.000293 s: parser.static 0.000306 s: parser.err_static 0.002497 s: list.mmap._main 0.000155 s: list.mmap 0.000129 s: parse_result.cases_on 0.000121 s: parser.bind._match_1 0.000058 s: parser.bind 0.000035 s: parser.pure 0.000346 s: parser.monad 0.000298 s: parser.pure_eq_done 0.000139 s: parse_result.no_confusion_type 0.000304 s: parse_result.no_confusion 0.000819 s: parser.err_static.pure 0.000160 s: parser.bind_eq_bind 0.000170 s: parser.bind.equations._eqn_1 0.000125 s: parser.bind._match_1.equations._eqn_1 0.000111 s: parse_result.done.inj 0.000237 s: parse_result.done.inj_eq 0.000138 s: parser.bind._match_1.equations._eqn_2 0.000105 s: parse_result.fail.inj 0.000216 s: parse_result.fail.inj_eq 0.004635 s: parser.bind_eq_fail 0.000208 s: parser.err_static.of_fail 0.000119 s: parser.static.of_done 0.001234 s: parser.err_static.bind 0.000646 s: parser.static.pure 0.002634 s: parser.bind_eq_done 0.000993 s: parser.static.bind 0.001643 s: parser.static.mmap._main 0.000060 s: parser.static.mmap 0.001433 s: parser.err_static.mmap._main 0.028550 s: separated_regular._match_2.equations._eqn_1 0.000495 s: category_theory.with_initial 0.000122 s: category_theory.with_initial.cases_on 0.000175 s: category_theory.with_initial.hom._main 0.000030 s: category_theory.with_initial.hom 0.000585 s: category_theory.with_initial.id._main 0.000077 s: category_theory.with_initial.id 0.004646 s: category_theory.with_initial.comp._main 0.000084 s: category_theory.with_initial.comp 0.000085 s: punit.decidable_eq 0.003395 s: category_theory.with_initial.category_theory.category._proof_1 0.003018 s: category_theory.with_initial.category_theory.category._proof_2 0.014263 s: category_theory.with_initial.category_theory.category._proof_3 0.001284 s: category_theory.with_initial.category_theory.category 0.000823 s: category_theory.with_initial.incl._proof_1 0.000828 s: category_theory.with_initial.incl._proof_2 0.003330 s: category_theory.with_initial.incl 0.000180 s: category_theory.with_initial.lift._match_1 0.002134 s: category_theory.with_initial.lift._match_2 0.004077 s: category_theory.with_initial.lift._proof_1 0.014649 s: category_theory.with_initial.lift._proof_2 0.002762 s: category_theory.with_initial.lift 0.037557 s: category_theory.with_initial.incl_lift._proof_4 0.000412 s: omega_complete_partial_order.continuous 0.000205 s: omega_complete_partial_order.continuous' 0.000186 s: omega_complete_partial_order.continuous.to_monotone 0.000363 s: omega_complete_partial_order.continuous.to_bundled 0.000227 s: turing.dir 0.011196 s: turing.TM1.stmt 0.000034 s: bool.inhabited 0.000892 s: turing.TM1to1.Λ' 0.000932 s: turing.TM1to1.write._main 0.000173 s: turing.TM1to1.write 0.001167 s: category_theory.triangulated.triangle_morphism.comp_hom₂ 0.000055 s: category_theory.presieve 0.000088 s: category_theory.limits.has_pullbacks 0.000715 s: category_theory.limits.has_limits 0.000136 s: category_theory.limits.has_limits.has_limits_of_shape 0.000060 s: category_theory.limits.has_limits_of_shape_of_has_limits 0.000288 s: category_theory.limits.has_limit.mk 0.000766 s: category_theory.functor.sections 0.004555 s: category_theory.limits.types.limit_cone._proof_1 0.001407 s: category_theory.limits.types.limit_cone 0.002306 s: category_theory.limits.types.limit_cone_is_limit._proof_1 0.004191 s: category_theory.limits.types.limit_cone_is_limit._proof_2 0.006494 s: category_theory.limits.types.limit_cone_is_limit._proof_3 0.003520 s: category_theory.limits.types.limit_cone_is_limit 0.000255 s: category_theory.limits.types.sort.category_theory.limits.has_limits 0.000683 s: category_theory.equalizer.first_obj._proof_1 0.000343 s: category_theory.equalizer.first_obj 0.000352 s: category_theory.limits.cospan 0.000103 s: category_theory.limits.has_pullback 0.000342 s: 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filter.germ.ordered_add_comm_group 0.000419 s: filter.germ.ordered_ring._proof_16 0.000542 s: filter.germ.ordered_ring._proof_17 0.000729 s: filter.germ.ordered_ring._proof_18 0.000818 s: filter.germ.ordered_ring._proof_19 0.001757 s: filter.germ.ordered_ring._proof_20 0.000884 s: filter.germ.lift_rel_const 0.000851 s: filter.germ.const_le 0.013566 s: filter.germ.ordered_ring._proof_21 0.000821 s: filter.germ.coe_le 0.000113 s: filter.eventually_le.equations._eqn_1 0.000603 s: filter.eventually_and 0.002732 s: ultrafilter.eventually_not 0.001890 s: filter.germ.coe_lt 0.000772 s: filter.germ.coe_pos 0.157301 s: filter.germ.ordered_ring._proof_22 0.110554 s: filter.germ.ordered_ring 0.000342 s: filter.germ.linear_ordered_ring._proof_1 0.000316 s: filter.germ.linear_ordered_ring._proof_2 0.000249 s: filter.germ.linear_ordered_ring._proof_3 0.010324 s: filter.germ.linear_ordered_ring._proof_4 0.002424 s: filter.germ.linear_ordered_ring._proof_5 0.002289 s: filter.germ.linear_ordered_ring._proof_6 0.001311 s: filter.germ.linear_ordered_ring._proof_7 0.000340 s: filter.germ.linear_ordered_ring._proof_8 0.000256 s: filter.germ.linear_ordered_ring._proof_9 0.000156 s: filter.germ.linear_ordered_ring._proof_10 0.000167 s: filter.germ.linear_ordered_ring._proof_11 0.000596 s: filter.germ.linear_ordered_ring._proof_12 0.001146 s: filter.germ.linear_ordered_ring._proof_13 0.000233 s: filter.germ.linear_ordered_ring._proof_14 0.000289 s: filter.germ.linear_ordered_ring._proof_15 0.000214 s: filter.germ.linear_ordered_ring._proof_16 0.000277 s: filter.germ.linear_ordered_ring._proof_17 0.000475 s: filter.germ.linear_ordered_ring._proof_18 0.000375 s: filter.germ.linear_ordered_ring._proof_19 0.001628 s: filter.germ.linear_ordered_ring._proof_20 0.001506 s: filter.germ.linear_ordered_ring._proof_21 0.001860 s: filter.germ.linear_ordered_ring._proof_22 0.000177 s: filter.germ.linear_order._proof_1 0.000209 s: filter.germ.linear_order._proof_2 0.000289 s: filter.germ.linear_order._proof_3 0.000360 s: filter.germ.linear_order._proof_4 0.003712 s: filter.germ.linear_order._proof_5 0.000175 s: filter.germ.linear_order._proof_6 0.000243 s: filter.germ.linear_order._proof_7 0.000341 s: filter.germ.linear_order._proof_8 0.000338 s: filter.germ.linear_order._proof_9 0.002363 s: filter.germ.linear_order 0.000465 s: filter.germ.linear_ordered_ring._proof_23 0.000158 s: filter.eventually_true 0.000179 s: filter.eventually_false_iff_eq_bot 0.000654 s: filter.eventually_const 0.000073 s: filter.const_eventually_eq' 0.000159 s: filter.const_eventually_eq 0.000593 s: filter.germ.const_inj 0.000414 s: filter.germ.nontrivial._match_1 0.000099 s: filter.germ.nontrivial 0.000331 s: filter.germ.linear_ordered_ring._proof_24 0.035013 s: filter.germ.linear_ordered_ring 0.000316 s: filter.germ.linear_ordered_field._proof_1 0.000265 s: filter.germ.linear_ordered_field._proof_2 0.000224 s: filter.germ.linear_ordered_field._proof_3 0.003315 s: filter.germ.linear_ordered_field._proof_4 0.000952 s: filter.germ.linear_ordered_field._proof_5 0.000991 s: filter.germ.linear_ordered_field._proof_6 0.000780 s: filter.germ.linear_ordered_field._proof_7 0.000243 s: filter.germ.linear_ordered_field._proof_8 0.000245 s: filter.germ.linear_ordered_field._proof_9 0.000229 s: filter.germ.linear_ordered_field._proof_10 0.000146 s: filter.germ.linear_ordered_field._proof_11 0.000442 s: filter.germ.linear_ordered_field._proof_12 0.000485 s: filter.germ.linear_ordered_field._proof_13 0.000278 s: filter.germ.linear_ordered_field._proof_14 0.000224 s: filter.germ.linear_ordered_field._proof_15 0.000157 s: filter.germ.linear_ordered_field._proof_16 0.000279 s: filter.germ.linear_ordered_field._proof_17 0.000359 s: filter.germ.linear_ordered_field._proof_18 0.000527 s: filter.germ.linear_ordered_field._proof_19 0.001344 s: filter.germ.linear_ordered_field._proof_20 0.002135 s: filter.germ.linear_ordered_field._proof_21 0.004691 s: filter.germ.linear_ordered_field._proof_22 0.000850 s: filter.germ.linear_ordered_field._proof_23 0.000248 s: filter.germ.linear_ordered_field._proof_24 0.000200 s: filter.germ.comm_ring._proof_1 0.000196 s: filter.germ.comm_ring._proof_2 0.000105 s: filter.germ.comm_ring._proof_3 0.000513 s: filter.germ.comm_ring._proof_4 0.000356 s: filter.germ.comm_ring._proof_5 0.000495 s: filter.germ.comm_ring._proof_6 0.000663 s: filter.germ.comm_ring._proof_7 0.000147 s: filter.germ.comm_ring._proof_8 0.000139 s: filter.germ.comm_ring._proof_9 0.000105 s: filter.germ.comm_ring._proof_10 0.000096 s: filter.germ.comm_ring._proof_11 0.000239 s: filter.germ.comm_ring._proof_12 0.000209 s: filter.germ.comm_ring._proof_13 0.000134 s: filter.germ.comm_ring._proof_14 0.000114 s: filter.germ.comm_ring._proof_15 0.000154 s: filter.germ.comm_semigroup._proof_1 0.002838 s: filter.germ.comm_semigroup._proof_2 0.000380 s: filter.germ.comm_semigroup 0.000142 s: filter.germ.comm_monoid._proof_1 0.000140 s: filter.germ.comm_monoid._proof_2 0.000097 s: filter.germ.comm_monoid._proof_3 0.000333 s: filter.germ.comm_monoid._proof_4 0.000217 s: filter.germ.comm_monoid._proof_5 0.000129 s: filter.germ.comm_monoid._proof_6 0.002152 s: filter.germ.comm_monoid 0.000215 s: filter.germ.comm_ring._proof_16 0.009295 s: filter.germ.comm_ring 0.000442 s: filter.germ.field._proof_1 0.000215 s: filter.germ.field._proof_2 0.000175 s: filter.germ.field._proof_3 0.000906 s: filter.germ.field._proof_4 0.000394 s: filter.germ.field._proof_5 0.000715 s: filter.germ.field._proof_6 0.001510 s: filter.germ.field._proof_7 0.000354 s: filter.germ.field._proof_8 0.000356 s: filter.germ.field._proof_9 0.000363 s: filter.germ.field._proof_10 0.000252 s: filter.germ.field._proof_11 0.000565 s: filter.germ.field._proof_12 0.000678 s: filter.germ.field._proof_13 0.000392 s: filter.germ.field._proof_14 0.000332 s: filter.germ.field._proof_15 0.000381 s: filter.germ.field._proof_16 0.000458 s: filter.germ.division_ring._proof_1 0.000413 s: filter.germ.division_ring._proof_2 0.000230 s: filter.germ.division_ring._proof_3 0.000567 s: filter.germ.division_ring._proof_4 0.000456 s: filter.germ.division_ring._proof_5 0.000951 s: filter.germ.division_ring._proof_6 0.000774 s: filter.germ.division_ring._proof_7 0.000322 s: filter.germ.division_ring._proof_8 0.000255 s: filter.germ.division_ring._proof_9 0.000194 s: filter.germ.division_ring._proof_10 0.000194 s: filter.germ.division_ring._proof_11 0.000347 s: filter.germ.division_ring._proof_12 0.000331 s: filter.germ.division_ring._proof_13 0.000205 s: filter.germ.division_ring._proof_14 0.000223 s: filter.germ.division_ring._proof_15 0.000167 s: filter.germ.div_inv_monoid._proof_1 0.000144 s: filter.germ.div_inv_monoid._proof_2 0.000098 s: filter.germ.div_inv_monoid._proof_3 0.000301 s: filter.germ.div_inv_monoid._proof_4 0.000459 s: filter.germ.div_inv_monoid._proof_5 0.000180 s: filter.germ.has_inv 0.000116 s: filter.germ.has_div 0.001704 s: pi.monoid._proof_1 0.001565 s: pi.monoid._proof_2 0.001251 s: pi.monoid._proof_3 0.005050 s: pi.monoid._proof_4 0.004078 s: pi.monoid._proof_5 0.001192 s: pi.monoid 0.000182 s: pi.div_inv_monoid._proof_1 0.000245 s: pi.div_inv_monoid._proof_2 0.000179 s: pi.div_inv_monoid._proof_3 0.000970 s: pi.div_inv_monoid._proof_4 0.000459 s: pi.div_inv_monoid._proof_5 0.000100 s: pi.has_inv 0.000063 s: pi.has_div 0.002605 s: pi.div_inv_monoid._proof_6 0.001377 s: pi.div_inv_monoid 0.004591 s: filter.germ.div_inv_monoid._proof_6 0.001832 s: filter.germ.div_inv_monoid 0.001167 s: filter.germ.division_ring._proof_16 0.000187 s: filter.germ.division_ring._proof_17 0.042903 s: filter.germ.division_ring._proof_18 0.015676 s: filter.germ.division_ring._proof_19 0.017363 s: filter.germ.division_ring 0.001933 s: filter.germ.field._proof_17 0.000146 s: filter.germ.field._proof_18 0.002442 s: filter.germ.field._proof_19 0.001086 s: filter.germ.field._proof_20 0.123707 s: filter.germ.field 0.000524 s: filter.germ.linear_ordered_field._proof_25 0.012000 s: filter.germ.linear_ordered_field._proof_26 0.005560 s: filter.germ.linear_ordered_field._proof_27 0.004186 s: filter.germ.linear_ordered_field._proof_28 0.517152 s: filter.germ.linear_ordered_field 0.000098 s: hyperreal.linear_ordered_field 0.000139 s: hyperreal.has_coe_t 0.000078 s: hyperreal.infinite_neg 0.000184 s: multiplicative.left_cancel_semigroup._proof_1 0.000111 s: multiplicative.left_cancel_semigroup._proof_2 0.038474 s: multiplicative.left_cancel_semigroup 0.000137 s: multiplicative.ordered_cancel_comm_monoid._proof_1 0.000440 s: list.foldl_with_index_aux._main 0.000053 s: list.foldl_with_index_aux 0.000046 s: list.foldl_with_index 0.006459 s: list.foldl_with_index.equations._eqn_1 0.015370 s: canonically_linear_ordered_monoid 0.002632 s: canonically_linear_ordered_monoid.npow 0.012232 s: canonically_linear_ordered_monoid.one 0.002713 s: canonically_linear_ordered_monoid.mul 0.011955 s: canonically_linear_ordered_monoid.one_mul 0.003160 s: canonically_linear_ordered_monoid.mul_one 0.004234 s: canonically_linear_ordered_monoid.npow_succ' 0.001105 s: nat.eq_zero_or_eq_succ_pred 0.000160 s: nat.exists_eq_succ_of_ne_zero 0.001362 s: option.map_eq_none' 0.006105 s: encodable.decode_ge_two 0.004653 s: primcodable.bool._proof_1 0.000152 s: primcodable.bool 0.000447 s: primrec.of_eq 0.001923 s: primcodable.of_denumerable._proof_1 0.000103 s: primcodable.of_denumerable 0.000137 s: primrec₂ 0.003042 s: primrec.pair 0.000819 s: primrec₂.comp 0.000263 s: primrec₂.equations._eqn_1 0.000254 s: primrec.equations._eqn_1 0.003186 s: primrec₂.nat_iff 0.000070 s: encodable.decode_nat 0.000154 s: nat.elim_zero 0.000073 s: nat.elim_succ 0.014719 s: primrec.nat_elim 0.002826 s: primrec₂.comp₂ 0.005881 s: primrec.fst 0.000208 s: primrec₂.left 0.000428 s: primrec.comp₂ 0.006479 s: primrec.snd 0.000357 s: primrec₂.right 0.003016 s: primrec.nat_cases' 0.000819 s: option.map_id 0.000053 s: option.map_id' 0.001069 s: primrec.id 0.000612 s: primrec.nat_cases 0.001365 s: primrec.encode 0.001339 s: primrec.encode_iff 0.000563 s: primrec.to₂ 0.002589 s: primrec.cond 0.000943 s: primrec.const 0.000815 s: primrec.dom_bool 0.000181 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_3 0.011886 s: ennreal.coe_inv_le 0.001171 s: add_monoid_hom.flip_hom._proof_1 0.000650 s: add_monoid_hom.flip_hom._proof_2 0.056587 s: add_monoid_hom.flip_hom 0.010354 s: add_monoid_hom.flip_hom_apply 0.021770 s: derivation 0.002890 s: derivation.to_linear_map 0.002292 s: derivation.has_coe_to_linear_map 0.004722 s: derivation.has_coe_to_fun 0.002113 s: linear_map.to_fun_eq_coe 0.007889 s: derivation.coe_fn_coe 0.007537 s: derivation.leibniz' 0.004308 s: derivation.leibniz 0.006319 s: derivation.cases_on 0.013667 s: derivation.coe_injective 0.003150 s: derivation.ext 0.029069 s: derivation.derivation.Rsemimodule._proof_4 0.000113 s: has_scalar.sizeof 0.000094 s: has_scalar.has_sizeof_inst 0.000282 s: mul_action.sizeof 0.000040 s: mul_action.has_sizeof_inst 0.000347 s: distrib_mul_action.sizeof 0.000057 s: distrib_mul_action.has_sizeof_inst 0.004182 s: semimodule.sizeof 0.000110 s: semimodule.has_sizeof_inst 0.000652 s: semi_normed_space.sizeof 0.000584 s: pequiv 0.001556 s: equiv.to_pequiv._proof_1 0.000231 s: equiv.to_pequiv 0.000182 s: preorder_hom.order_bot._proof_5 0.000933 s: category_theory.sieve 0.000180 s: category_theory.sieve.arrows 0.000063 s: category_theory.sieve.has_coe_to_fun 0.000410 s: category_theory.sieve.downward_closed' 0.000483 s: category_theory.sieve.downward_closed 0.000841 s: category_theory.sieve.Inf._proof_1 0.000358 s: category_theory.sieve.Inf 0.000515 s: category_theory.sieve.Inf.equations._eqn_1 0.000038 s: category_theory.skeletal 0.000175 s: category_theory.monoid_of_skeletal_monoidal._proof_1 0.000108 s: category_theory.monoid_of_skeletal_monoidal._proof_2 0.000091 s: category_theory.monoid_of_skeletal_monoidal._proof_3 0.000082 s: category_theory.monoid_of_skeletal_monoidal._proof_4 0.000080 s: category_theory.monoid_of_skeletal_monoidal._proof_5 0.002635 s: category_theory.monoid_of_skeletal_monoidal._proof_6 0.001730 s: category_theory.monoid_of_skeletal_monoidal._proof_7 0.004556 s: category_theory.monoid_of_skeletal_monoidal 0.004440 s: category_theory.monoid_of_skeletal_monoidal.equations._eqn_1 0.000361 s: nat.bodd_two 0.001865 s: canonically_linear_ordered_monoid.le 0.001892 s: canonically_linear_ordered_monoid.lt 0.001980 s: canonically_linear_ordered_monoid.le_refl 0.002013 s: canonically_linear_ordered_monoid.le_trans 0.002259 s: canonically_linear_ordered_monoid.lt_iff_le_not_le 0.002972 s: canonically_linear_ordered_monoid.le_antisymm 0.000174 s: category_theory.subobject.complete_semilattice_Sup._proof_2 0.012886 s: category_theory.monad 0.002170 s: category_theory.monad.to_functor 0.000080 s: category_theory.coe_monad 0.002445 s: category_theory.monad.η' 0.000525 s: category_theory.monad.η 0.002436 s: category_theory.monad.μ' 0.000581 s: category_theory.monad.μ 0.007283 s: category_theory.monad_hom 0.001940 s: category_theory.monad.category._proof_1 0.004740 s: category_theory.monad.category._proof_2 0.002142 s: category_theory.monad_hom.to_nat_trans 0.002355 s: category_theory.monad.category._proof_3 0.002598 s: category_theory.monad_hom.app_η 0.001724 s: category_theory.monad_hom.app_η_assoc 0.009542 s: category_theory.monad.category._proof_4 0.005136 s: category_theory.monad_hom.app_μ 0.006808 s: category_theory.monad_hom.app_μ_assoc 0.015071 s: category_theory.monad.category._proof_5 0.008165 s: category_theory.monad_hom.cases_on 0.005209 s: category_theory.monad_hom.ext 0.149926 s: category_theory.monad.category._proof_6 0.161015 s: category_theory.monad.category._proof_7 0.010975 s: category_theory.monad_hom.no_confusion_type 0.004377 s: category_theory.monad_hom.no_confusion 0.008214 s: category_theory.monad_hom.mk.inj 0.014454 s: category_theory.monad_hom.mk.inj_eq 0.005501 s: category_theory.nat_trans.mk.inj_eq 0.180940 s: category_theory.monad.category._proof_8 0.088963 s: category_theory.monad.category 0.016643 s: category_theory.monad.algebra 0.001766 s: category_theory.monad.algebra.A 0.002101 s: category_theory.monad.algebra.a 0.006183 s: category_theory.monad.algebra.hom 0.004064 s: category_theory.monad.algebra.hom.id._proof_1 0.000283 s: category_theory.monad.algebra.hom.id 0.001337 s: category_theory.monad.algebra.hom.f 0.002829 s: category_theory.monad.algebra.hom.h 0.002246 s: category_theory.monad.algebra.hom.h_assoc 0.004408 s: category_theory.monad.algebra.hom.comp._proof_1 0.000490 s: category_theory.monad.algebra.hom.comp 0.000377 s: category_theory.monad.algebra.category_theory.category_struct 0.001992 s: category_theory.monad.algebra.hom.cases_on 0.002882 s: category_theory.monad.algebra.hom.ext 0.003053 s: category_theory.monad.algebra.EilenbergMoore._proof_1 0.001520 s: category_theory.monad.algebra.EilenbergMoore._proof_2 0.002573 s: category_theory.monad.algebra.EilenbergMoore._proof_3 0.000710 s: category_theory.monad.algebra.EilenbergMoore 0.004268 s: category_theory.monad.algebra.unit 0.003647 s: category_theory.monad.algebra_functor_of_monad_hom._proof_1 0.005313 s: category_theory.monad.algebra.assoc 0.006194 s: category_theory.monad.algebra_functor_of_monad_hom._proof_2 0.003022 s: category_theory.monad.algebra_functor_of_monad_hom._proof_3 0.006685 s: category_theory.monad.algebra_functor_of_monad_hom._proof_4 0.004766 s: category_theory.monad.algebra_functor_of_monad_hom._proof_5 0.007589 s: category_theory.monad.algebra_functor_of_monad_hom._proof_6 0.036876 s: category_theory.monad.algebra_functor_of_monad_hom._proof_7 0.043711 s: category_theory.monad.algebra_functor_of_monad_hom._proof_8 0.044778 s: category_theory.monad.algebra_functor_of_monad_hom._proof_9 0.030690 s: category_theory.monad.algebra_functor_of_monad_hom 0.007339 s: category_theory.monad.algebra.iso_mk._proof_1 0.017164 s: category_theory.monad.algebra.iso_mk._proof_2 0.018911 s: category_theory.monad.algebra.iso_mk._proof_3 0.006660 s: category_theory.monad.algebra.iso_mk 0.005453 s: category_theory.monad.algebra_functor_of_monad_hom_id._proof_1 0.015438 s: category_theory.monad.algebra_functor_of_monad_hom_id._proof_2 0.003027 s: category_theory.monad.algebra_functor_of_monad_hom_id 0.012562 s: category_theory.monad.algebra_functor_of_monad_hom_eq._proof_1 0.029699 s: category_theory.monad.algebra_functor_of_monad_hom_eq._proof_2 0.008145 s: category_theory.monad.algebra_functor_of_monad_hom_eq 0.001654 s: category_theory.monad.algebra_equiv_of_iso_monads._proof_1 0.014934 s: category_theory.monad.algebra_functor_of_monad_hom_comp._proof_1 0.041171 s: category_theory.monad.algebra_functor_of_monad_hom_comp._proof_2 0.013791 s: category_theory.monad.algebra_functor_of_monad_hom_comp 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units.ordered_comm_group._proof_5 0.000530 s: units.ordered_comm_group._proof_6 0.000735 s: units.ordered_comm_group._proof_7 0.000351 s: units.ordered_comm_group._proof_8 0.000167 s: units.partial_order 0.000129 s: units.ordered_comm_group._proof_9 0.000200 s: units.ordered_comm_group._proof_10 0.000482 s: units.ordered_comm_group._proof_11 0.000516 s: units.ordered_comm_group._proof_12 0.002165 s: units.ordered_comm_group._proof_13 0.006358 s: units.ordered_comm_group 0.000322 s: ne_zero_of_lt 0.036291 s: mul_lt_mul'''' 0.010850 s: nnreal.coe_pow 0.001876 s: boole_mul 0.018401 s: complex.cpow_add 0.015987 s: complex.cpow_nat_cast 0.027245 s: real.rpow_nat_cast 0.017789 s: nnreal.rpow_nat_cast 0.005237 s: nnreal.rpow_lt_rpow_iff 0.327564 s: mod_p.mul_ne_zero_of_pow_p_ne_zero 0.154684 s: mod_p.pre_val_mul 0.431383 s: pre_tilt.val_aux_mul 0.133934 s: mod_p.pre_val_zero 0.168323 s: mod_p.pre_val_add 0.021742 s: canonically_ordered_semiring.pow_le_pow_of_le_left 0.002673 s: le_max_right_of_le 0.428346 s: pre_tilt.val_aux_add 0.356666 s: pre_tilt.val 0.147040 s: mod_p.v_p_lt_pre_val 0.144785 s: mod_p.pre_val_eq_zero 0.426783 s: pre_tilt.map_eq_zero 0.439877 s: pre_tilt.integral_domain._proof_18 0.001826 s: convex_sInter 0.013551 s: equiv.perm.swap_induction_on' 0.002065 s: function.update_apply 0.001962 s: equiv.swap_eq_update 0.000574 s: function.comp_update 0.001602 s: equiv.comp_swap_eq_update 0.003564 s: alternating_map.map_add 0.000235 s: function.update.equations._eqn_1 0.005804 s: function.update_comm 0.001960 s: alternating_map.map_update_self 0.001868 s: alternating_map.map_update_update 0.004738 s: alternating_map.map_swap_add 0.004204 s: alternating_map.map_swap 0.006011 s: units.mul_neg 0.011342 s: alternating_map.map_perm 0.017277 s: matrix.det_permute 0.004871 s: norm_num.add_bit0_bit1 0.001769 s: norm_num.adc_one_bit0 0.003906 s: int.coe_nat_bit1 0.174833 s: ordnode.valid'.rotate_l_lemma₄ 0.017222 s: category_theory.sieve.union._proof_1 0.000396 s: category_theory.sieve.union 0.000069 s: bounded_lattice.lt._default 0.000259 s: category_theory.sieve.complete_lattice._proof_1 0.000491 s: category_theory.sieve.complete_lattice._proof_2 0.000349 s: category_theory.sieve.complete_lattice._proof_3 0.000474 s: category_theory.sieve.cases_on 0.006614 s: category_theory.sieve.arrows_ext 0.000815 s: category_theory.sieve.ext 0.002255 s: category_theory.sieve.complete_lattice._proof_4 0.000220 s: category_theory.sieve.complete_lattice._proof_5 0.000282 s: category_theory.sieve.complete_lattice._proof_6 0.003252 s: category_theory.sieve.complete_lattice._proof_7 0.001008 s: category_theory.sieve.inter._proof_1 0.000272 s: category_theory.sieve.inter 0.000378 s: category_theory.sieve.complete_lattice._proof_8 0.000190 s: category_theory.sieve.complete_lattice._proof_9 0.003101 s: category_theory.sieve.complete_lattice._proof_10 0.000078 s: category_theory.sieve.complete_lattice._proof_11 0.000152 s: category_theory.sieve.complete_lattice._proof_12 0.000307 s: category_theory.sieve.complete_lattice._proof_13 0.000237 s: category_theory.sieve.complete_lattice._proof_14 0.001126 s: category_theory.sieve.Sup._proof_1 0.000415 s: category_theory.sieve.Sup 0.000813 s: category_theory.sieve.complete_lattice._proof_15 0.002971 s: category_theory.sieve.complete_lattice._proof_16 0.000400 s: category_theory.sieve.complete_lattice._proof_17 0.002949 s: category_theory.sieve.complete_lattice._proof_18 0.011124 s: category_theory.sieve.complete_lattice 0.001780 s: category_theory.sieve.pullback._proof_1 0.000362 s: category_theory.sieve.pullback 0.003192 s: category_theory.grothendieck_topology 0.000772 s: category_theory.grothendieck_topology.sieves 0.000105 s: category_theory.grothendieck_topology.has_coe_to_fun 0.000341 s: category_theory.presieve.family_of_elements 0.001574 s: category_theory.presieve.family_of_elements.compatible 0.000778 s: category_theory.presieve.family_of_elements.is_amalgamation 0.000206 s: category_theory.presieve.is_sheaf_for 0.000273 s: category_theory.presieve.is_sheaf 0.000102 s: category_theory.SheafOfTypes 0.000401 s: category_theory.grothendieck_topology.partial_order._proof_1 0.001372 s: category_theory.grothendieck_topology.partial_order._proof_2 0.000494 s: category_theory.grothendieck_topology.partial_order._proof_3 0.001350 s: category_theory.grothendieck_topology.cases_on 0.003555 s: category_theory.grothendieck_topology.ext 0.003686 s: category_theory.grothendieck_topology.partial_order._proof_4 0.001531 s: category_theory.grothendieck_topology.partial_order 0.000300 s: category_theory.grothendieck_topology.mem_sieves_iff_coe 0.001300 s: category_theory.grothendieck_topology.top_mem' 0.000394 s: category_theory.grothendieck_topology.top_mem 0.004471 s: category_theory.grothendieck_topology.has_Inf._proof_1 0.001047 s: category_theory.grothendieck_topology.pullback_stable' 0.000610 s: category_theory.grothendieck_topology.pullback_stable 0.004132 s: category_theory.grothendieck_topology.has_Inf._proof_2 0.001390 s: category_theory.grothendieck_topology.transitive' 0.001154 s: category_theory.grothendieck_topology.transitive 0.006782 s: category_theory.grothendieck_topology.has_Inf._proof_3 0.000983 s: category_theory.grothendieck_topology.has_Inf 0.058783 s: category_theory.grothendieck_topology.is_glb_Inf 0.000295 s: category_theory.grothendieck_topology.complete_lattice._proof_1 0.008874 s: category_theory.grothendieck_topology.discrete._proof_1 0.002658 s: category_theory.grothendieck_topology.discrete._proof_2 0.000117 s: category_theory.sieve.sieve_inhabited 0.004202 s: category_theory.grothendieck_topology.discrete._proof_3 0.000589 s: category_theory.grothendieck_topology.discrete 0.006424 s: category_theory.grothendieck_topology.complete_lattice._proof_2 0.000113 s: category_theory.grothendieck_topology.trivial._proof_1 0.002765 s: category_theory.sieve.pullback_top 0.001019 s: category_theory.grothendieck_topology.trivial._proof_2 0.000394 s: category_theory.sieve.ext_iff 0.000511 s: category_theory.sieve.pullback_apply 0.001281 s: category_theory.sieve.pullback_id 0.003133 s: category_theory.sieve.id_mem_iff_eq_top 0.001504 s: category_theory.grothendieck_topology.trivial._proof_3 0.000793 s: category_theory.grothendieck_topology.trivial 0.000464 s: category_theory.grothendieck_topology.covering_of_eq_top 0.000456 s: category_theory.grothendieck_topology.trivial_covering 0.005527 s: category_theory.grothendieck_topology.complete_lattice._proof_3 0.000198 s: category_theory.grothendieck_topology.complete_lattice._proof_4 0.000118 s: category_theory.grothendieck_topology.complete_lattice._proof_5 0.000231 s: category_theory.grothendieck_topology.complete_lattice._proof_6 0.000123 s: category_theory.grothendieck_topology.complete_lattice._proof_7 0.000722 s: category_theory.grothendieck_topology.complete_lattice 0.000251 s: category_theory.SheafOfTypes.category 0.000502 s: category_theory.SheafOfTypes_to_presheaf 0.001386 s: category_theory.grothendieck_topology.bot_covering 0.003036 s: category_theory.sieve.generate._proof_1 0.000642 s: category_theory.sieve.generate 0.000487 s: category_theory.presieve.singleton 0.001906 s: category_theory.split_epi 0.000434 s: category_theory.split_epi.section_ 0.000168 s: category_theory.section_ 0.000630 s: category_theory.split_epi.id' 0.000318 s: category_theory.split_epi.id 0.001127 s: category_theory.sieve.generate_of_contains_split_epi 0.000104 s: category_theory.presieve.singleton_self 0.000254 s: category_theory.sieve.generate_of_singleton_split_epi 0.000510 s: category_theory.split_epi.of_iso._proof_1 0.000201 s: category_theory.split_epi.of_iso 0.000189 s: category_theory.presieve.is_separated_for 0.000280 s: category_theory.presieve.is_separated_for.equations._eqn_1 0.000150 s: exists_unique_of_exists_of_unique 0.000155 s: exists_unique.elim 0.000118 s: unique_of_exists_unique 0.000060 s: exists_unique.unique 0.003088 s: category_theory.presieve.is_compatible_of_exists_amalgamation 0.001532 s: category_theory.presieve.is_separated_for_and_exists_is_amalgamation_iff_sheaf_for 0.000139 s: category_theory.presieve.complete_lattice 0.003541 s: category_theory.presieve.family_of_elements.restrict 0.009399 s: category_theory.sieve.sets_iff_generate 0.002323 s: category_theory.sieve.gi_generate._proof_1 0.000193 s: category_theory.sieve.gi_generate._proof_2 0.001602 s: category_theory.sieve.gi_generate 0.000446 s: category_theory.sieve.le_generate 0.003306 s: category_theory.presieve.is_amalgamation_restrict 0.000703 s: category_theory.presieve.family_of_elements.sieve_extend._proof_1 0.000618 s: category_theory.presieve.family_of_elements.sieve_extend._proof_2 0.001371 s: category_theory.presieve.family_of_elements.sieve_extend._proof_3 0.001812 s: category_theory.presieve.family_of_elements.sieve_extend._proof_4 0.003160 s: category_theory.presieve.family_of_elements.sieve_extend 0.006892 s: category_theory.presieve.is_amalgamation_sieve_extend 0.001905 s: category_theory.presieve.is_separated_for_iff_generate 0.001083 s: category_theory.presieve.family_of_elements.sieve_compatible 0.003941 s: category_theory.presieve.compatible_iff_sieve_compatible 0.010520 s: category_theory.presieve.restrict_inj 0.011640 s: category_theory.presieve.family_of_elements.compatible.sieve_extend 0.008492 s: category_theory.presieve.family_of_elements.compatible.restrict 0.009466 s: category_theory.presieve.extend_agrees 0.007370 s: category_theory.presieve.restrict_extend 0.001314 s: category_theory.presieve.extend_restrict 0.002226 s: category_theory.presieve.is_sheaf_for_iff_generate 0.000479 s: category_theory.presieve.singleton.dcases_on 0.003247 s: category_theory.presieve.is_sheaf_for_singleton_iso 0.000983 s: category_theory.presieve.is_sheaf_for_top_sieve 0.001342 s: category_theory.presieve.is_sheaf_bot 0.000687 s: category_theory.SheafOfTypes_to_presheaf.full 0.011067 s: category_theory.SheafOfTypes_bot_equiv._proof_4 0.001316 s: category_theory.limits.has_kernels.has_limit 0.000775 s: category_theory.non_preadditive_abelian.has_kernels 0.000550 s: category_theory.non_preadditive_abelian.coimage._proof_3 0.000166 s: matrix.add_comm_monoid 0.000255 s: matrix.semiring._proof_1 0.000213 s: matrix.semiring._proof_2 0.000143 s: matrix.semiring._proof_3 0.000754 s: matrix.semiring._proof_4 0.000365 s: matrix.semiring._proof_5 0.000226 s: matrix.semiring._proof_6 0.000072 s: matrix.dot_product 0.000267 s: matrix.mul 0.000122 s: matrix.has_mul 0.000937 s: matrix.ext_iff 0.000234 s: matrix.ext 0.000140 s: matrix.dot_product.equations._eqn_1 0.003050 s: matrix.dot_product_assoc 0.001413 s: matrix.mul_assoc 0.001228 s: matrix.semigroup 0.000179 s: matrix.monoid._proof_1 0.000088 s: matrix.diagonal 0.000101 s: matrix.has_one 0.000365 s: matrix.diagonal_one 0.000144 s: matrix.diagonal.equations._eqn_1 0.000646 s: matrix.diagonal_apply_eq 0.000568 s: matrix.diagonal_apply_ne 0.000184 s: matrix.diagonal_apply_ne' 0.004334 s: matrix.diagonal_dot_product 0.001218 s: matrix.diagonal_mul 0.002058 s: matrix.one_mul 0.000588 s: matrix.monoid._proof_2 0.000094 s: matrix.transpose._main 0.000096 s: matrix.transpose 0.000382 s: matrix.transpose._main.equations._eqn_1 0.000237 s: matrix.transpose.equations._eqn_1 0.001698 s: matrix.diagonal_transpose 0.002243 s: matrix.dot_product_diagonal 0.001147 s: matrix.mul_diagonal 0.001301 s: matrix.mul_one 0.000339 s: matrix.monoid._proof_3 0.000378 s: matrix.monoid._proof_4 0.000303 s: matrix.monoid._proof_5 0.001664 s: matrix.monoid._proof_6 0.001142 s: matrix.monoid._proof_7 0.002838 s: matrix.monoid 0.000201 s: matrix.semiring._proof_7 0.000269 s: matrix.semiring._proof_8 0.000158 s: matrix.semiring._proof_9 0.000468 s: matrix.semiring._proof_10 0.000361 s: matrix.semiring._proof_11 0.001971 s: matrix.zero_dot_product 0.001370 s: matrix.zero_mul 0.001869 s: matrix.dot_product_zero 0.001185 s: matrix.mul_zero 0.000130 s: matrix.has_add 0.002122 s: matrix.dot_product_add 0.001671 s: matrix.mul_add 0.001723 s: matrix.add_dot_product 0.002324 s: matrix.add_mul 0.006218 s: matrix.semiring 0.000394 s: matrix.semimodule 0.000318 s: matrix.has_scalar 0.007299 s: matrix.scalar._proof_1 0.001175 s: matrix.smul_apply 0.000433 s: matrix.mul_eq_mul 0.002612 s: matrix.smul_dot_product 0.002161 s: matrix.smul_mul 0.004703 s: matrix.scalar._proof_2 0.006306 s: matrix.scalar._proof_3 0.000055 s: dmatrix 0.000204 s: dmatrix.has_add 0.000470 s: dmatrix.add_apply 0.003261 s: matrix.scalar._proof_4 0.001057 s: matrix.scalar 0.000706 s: matrix.algebra._proof_1 0.000784 s: matrix.algebra._proof_2 0.000648 s: matrix.algebra._proof_3 0.000658 s: matrix.algebra._proof_4 0.001156 s: matrix.scalar.equations._eqn_1 0.000479 s: matrix.mul_apply 0.000411 s: matrix.one_apply 0.002095 s: finset.sum_dite_eq 0.000331 s: finset.sum_ite_eq 0.012519 s: matrix.algebra._proof_5 0.016389 s: matrix.algebra._proof_6 0.003667 s: matrix.algebra 0.006611 s: matrix_equiv_tensor.to_fun_bilinear._proof_1 0.006066 s: matrix_equiv_tensor.to_fun_bilinear._proof_2 0.000309 s: matrix_equiv_tensor.to_fun 0.005010 s: matrix_equiv_tensor.to_fun_right_linear._proof_1 0.013818 s: matrix_equiv_tensor.to_fun_right_linear._proof_2 0.002293 s: matrix_equiv_tensor.to_fun_right_linear 0.002076 s: matrix_equiv_tensor.to_fun_right_linear.equations._eqn_1 0.000597 s: matrix_equiv_tensor.to_fun.equations._eqn_1 0.010731 s: matrix_equiv_tensor.to_fun_bilinear._proof_3 0.020549 s: matrix_equiv_tensor.to_fun_bilinear._proof_4 0.006438 s: matrix_equiv_tensor.to_fun_bilinear 0.001435 s: matrix_equiv_tensor.to_fun_linear 0.001851 s: matrix_equiv_tensor.to_fun_linear.equations._eqn_1 0.003722 s: matrix_equiv_tensor.to_fun_bilinear.equations._eqn_1 0.000520 s: matrix.one_apply_eq 0.000364 s: matrix.one_apply_ne 0.006272 s: algebra_map_matrix_apply 0.131647 s: matrix_equiv_tensor.to_fun_alg_hom._proof_2 0.000430 s: turing.TM0.stmt 0.000624 s: turing.TM0to1.Λ' 0.000277 s: turing.TM0to1.Λ'.cases_on 0.000265 s: turing.TM0to1.Λ'.no_confusion_type 0.000502 s: turing.TM0to1.Λ'.no_confusion 0.000338 s: turing.TM0to1.Λ'.act.inj 0.001442 s: turing.TM0to1.Λ'.act.inj_arrow 0.000059 s: mv_power_series 0.000019 s: power_series 0.001069 s: mv_power_series.add_comm_monoid 0.000218 s: mv_power_series.semiring._proof_1 0.000318 s: mv_power_series.semiring._proof_2 0.000168 s: mv_power_series.semiring._proof_3 0.014150 s: mv_power_series.semiring._proof_4 0.001768 s: mv_power_series.semiring._proof_5 0.000156 s: mv_power_series.semiring._proof_6 0.002158 s: finsupp.to_multiset._proof_1 0.000583 s: multiset.singleton_eq_singleton 0.002558 s: list.filter_append 0.001450 s: multiset.filter_add 0.004387 s: multiset.countp_add 0.000308 s: multiset.count_add 0.013754 s: multiset.count_sum 0.001886 s: multiset.count_sum' 0.011108 s: multiset.count_nsmul 0.005646 s: multiset.count_cons 0.001535 s: dite_not 0.000158 s: ite_not 0.016447 s: finsupp.to_multiset._proof_2 0.003439 s: multiset.ext 0.000232 s: multiset.ext' 0.000571 s: multiset.singleton_coe 0.000659 s: multiset.count_singleton 0.000368 s: multiset.count_eq_zero_of_not_mem 0.011062 s: multiset.to_finset_sum_count_nsmul_eq 0.003602 s: finsupp.to_multiset._proof_3 0.011603 s: finsupp.to_multiset._proof_4 0.016181 s: finsupp.to_multiset 0.001899 s: multiset.to_finsupp 0.000540 s: list.zip_with._main 0.000060 s: list.zip_with 0.000086 s: list.zip 0.000095 s: list.revzip 0.001216 s: list.forall₂ 0.002851 s: list.forall₂.drec 0.000944 s: list.forall₂_same 0.000160 s: list.forall₂_refl 0.001088 s: list.forall₂_eq_eq_eq 0.000587 s: list.forall₂.dcases_on 0.000913 s: list.forall₂_nil_right_iff 0.002753 s: list.forall₂_cons_right_iff 0.002943 s: list.forall₂_map_right_iff 0.000215 s: list.unzip._match_1 0.001232 s: list.unzip._main 0.000087 s: list.unzip 0.001095 s: list.unzip._main.equations._eqn_2 0.000151 s: list.unzip.equations._eqn_2 0.000576 s: list.unzip_cons 0.002699 s: list.unzip_eq_map 0.000741 s: list.unzip_left 0.000972 s: list.zip_cons_cons 0.003561 s: list.unzip_zip_left 0.000741 s: list.zip_with_nil_right 0.000172 s: list.zip_nil_right 0.002910 s: list.zip_swap 0.002034 s: list.unzip_swap 0.001175 s: list.unzip_zip_right 0.002199 s: list.unzip_zip 0.001585 s: list.length_reverse 0.000211 s: list.unzip_revzip 0.000346 s: list.revzip_map_fst 0.001766 s: multiset.revzip_powerset_aux_lemma 0.000480 s: prod_map 0.000172 s: list.revzip.equations._eqn_1 0.005370 s: list.zip_map 0.001741 s: list.map_reverse 0.000705 s: list.sublists_nil 0.000187 s: list.reverse_singleton 0.000893 s: list.zip_map_left 0.000575 s: list.zip_map_right 0.007717 s: list.zip_append 0.010112 s: list.length_sublists' 0.000948 s: list.length_sublists 0.005853 s: list.revzip_sublists 0.003602 s: multiset.revzip_powerset_aux 0.001168 s: multiset.revzip_powerset_aux_perm 0.000216 s: multiset.antidiagonal._proof_1 0.000431 s: multiset.antidiagonal 0.001878 s: finsupp.antidiagonal 0.000344 s: mv_power_series.semimodule 0.000445 s: mv_power_series.coeff 0.000381 s: mv_power_series.has_mul 0.001006 s: mv_power_series.ext 0.001831 s: mv_power_series.coeff_mul 0.002019 s: finsupp.antidiagonal.equations._eqn_1 0.003041 s: multiset.to_finsupp_support 0.000443 s: multiset.antidiagonal_coe 0.001963 s: multiset.mem_powerset_aux 0.002604 s: multiset.mem_antidiagonal 0.000495 s: add_equiv.injective 0.000171 s: add_equiv.apply_eq_iff_eq 0.001925 s: multiset.to_finsupp_to_multiset 0.007629 s: finsupp.mem_antidiagonal_support 0.000263 s: finsupp.ordered_cancel_add_comm_monoid._proof_1 0.010712 s: finsupp.ordered_cancel_add_comm_monoid._proof_2 0.000226 s: finsupp.ordered_cancel_add_comm_monoid._proof_3 0.000394 s: finsupp.ordered_cancel_add_comm_monoid._proof_4 0.001941 s: finsupp.ordered_cancel_add_comm_monoid._proof_5 0.001197 s: finsupp.ordered_cancel_add_comm_monoid._proof_6 0.000419 s: finsupp.ordered_cancel_add_comm_monoid._proof_7 0.000159 s: finsupp.preorder._proof_1 0.000497 s: finsupp.preorder._proof_2 0.000291 s: finsupp.preorder._proof_3 0.000908 s: finsupp.preorder 0.000114 s: finsupp.partial_order._proof_1 0.000183 s: finsupp.partial_order._proof_2 0.000342 s: finsupp.partial_order._proof_3 0.000886 s: finsupp.partial_order._proof_4 0.000695 s: finsupp.partial_order 0.000167 s: finsupp.ordered_cancel_add_comm_monoid._proof_8 0.000247 s: finsupp.ordered_cancel_add_comm_monoid._proof_9 0.000280 s: finsupp.ordered_cancel_add_comm_monoid._proof_10 0.000321 s: finsupp.ordered_cancel_add_comm_monoid._proof_11 0.011681 s: finsupp.ordered_cancel_add_comm_monoid._proof_12 0.017551 s: finsupp.ordered_cancel_add_comm_monoid._proof_13 0.015812 s: finsupp.ordered_cancel_add_comm_monoid 0.041396 s: mv_power_series.mul_assoc 0.000794 s: mv_power_series.monomial 0.000440 s: mv_power_series.has_one 0.004298 s: 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free_abelian_group.ring._proof_16 0.014084 s: free_abelian_group.ring._proof_17 0.012857 s: free_abelian_group.ring 0.000111 s: free_abelian_group.comm_ring._proof_1 0.000086 s: free_abelian_group.comm_ring._proof_2 0.000113 s: free_abelian_group.comm_ring._proof_3 0.000745 s: free_abelian_group.comm_ring._proof_4 0.000516 s: free_abelian_group.comm_ring._proof_5 0.000543 s: free_abelian_group.comm_ring._proof_6 0.000550 s: free_abelian_group.comm_ring._proof_7 0.000202 s: free_abelian_group.comm_ring._proof_8 0.000086 s: free_abelian_group.comm_ring._proof_9 0.000075 s: free_abelian_group.comm_ring._proof_10 0.000127 s: free_abelian_group.comm_ring._proof_11 0.000262 s: free_abelian_group.comm_ring._proof_12 0.000193 s: free_abelian_group.comm_ring._proof_13 0.000131 s: free_abelian_group.comm_ring._proof_14 0.000146 s: free_abelian_group.comm_ring._proof_15 0.058844 s: free_abelian_group.comm_ring._proof_16 0.010781 s: free_abelian_group.comm_ring 0.000115 s: free_comm_ring.comm_ring 0.000259 s: _private.420952195.lift_to_multiset._proof_1 0.001445 s: multiset.prod_add 0.002239 s: _private.420952195.lift_to_multiset._proof_2 0.000414 s: multiset.prod_cons 0.001212 s: multiset.prod_zero 0.015749 s: _private.420952195.lift_to_multiset._proof_3 0.000296 s: monoid_hom.congr_arg 0.006701 s: multiset.sum_map_singleton 0.027749 s: _private.420952195.lift_to_multiset._proof_4 0.010334 s: _private.420952195.lift_to_multiset 0.001042 s: free_abelian_group.lift_monoid._proof_1 0.002329 s: free_abelian_group.mul_def 0.045065 s: free_abelian_group.lift_monoid._proof_2 0.004428 s: free_abelian_group.lift_monoid._proof_3 0.001757 s: free_abelian_group.lift_monoid._proof_4 0.000064 s: free_abelian_group.of_mul_hom._proof_1 0.010017 s: free_abelian_group.of_mul 0.001948 s: free_abelian_group.of_mul_hom 0.109008 s: free_abelian_group.lift_monoid._proof_5 0.147050 s: free_abelian_group.lift_monoid._proof_6 0.039011 s: free_abelian_group.lift_monoid 0.047944 s: free_comm_ring.lift 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category_theory.subobject.order_top._proof_4 0.000161 s: quotient.ind' 0.007568 s: category_theory.mono_over.hom_mk 0.002178 s: category_theory.mono_over.le_top._proof_1 0.001145 s: category_theory.mono_over.le_top 0.001463 s: category_theory.subobject.order_top._proof_5 0.001055 s: category_theory.subobject.order_top 0.000145 s: category_theory.subobject.semilattice_inf_top._proof_1 0.000112 s: category_theory.subobject.semilattice_inf_top._proof_2 0.000216 s: category_theory.subobject.semilattice_inf_top._proof_3 0.000250 s: category_theory.subobject.semilattice_inf_top._proof_4 0.000358 s: category_theory.subobject.semilattice_inf_top._proof_5 0.001042 s: category_theory.thin_skeleton.map₂._match_1 0.001311 s: category_theory.thin_skeleton.map₂._match_2 0.000423 s: category_theory.thin_skeleton.map₂._proof_1 0.000405 s: category_theory.thin_skeleton.map₂._proof_2 0.000382 s: category_theory.thin_skeleton.map₂._proof_3 0.001224 s: category_theory.thin_skeleton.map₂._proof_4 0.000377 s: category_theory.thin_skeleton.map₂._proof_5 0.000293 s: category_theory.thin_skeleton.map₂._proof_6 0.001661 s: category_theory.thin_skeleton.map₂._proof_7 0.000389 s: category_theory.thin_skeleton.map₂._proof_8 0.000350 s: category_theory.thin_skeleton.map₂._proof_9 0.001973 s: category_theory.thin_skeleton.map₂._proof_10 0.005343 s: category_theory.thin_skeleton.map₂._proof_11 0.011477 s: category_theory.thin_skeleton.map₂._proof_12 0.001282 s: category_theory.thin_skeleton.map₂._proof_13 0.000628 s: category_theory.thin_skeleton.map₂._proof_14 0.000389 s: category_theory.thin_skeleton.map₂._proof_15 0.001923 s: category_theory.thin_skeleton.map₂._proof_16 0.001027 s: category_theory.thin_skeleton.map₂._proof_17 0.000719 s: category_theory.thin_skeleton.map₂._proof_18 0.001527 s: category_theory.thin_skeleton.map₂._proof_19 0.000378 s: category_theory.thin_skeleton.map₂._proof_20 0.000404 s: category_theory.thin_skeleton.map₂._proof_21 0.002155 s: 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0.001466 s: category_theory.thin_skeleton.map₂._proof_39 0.000904 s: category_theory.thin_skeleton.map₂._proof_40 0.001365 s: category_theory.thin_skeleton.map₂._proof_41 0.000380 s: category_theory.thin_skeleton.map₂._proof_42 0.000344 s: category_theory.thin_skeleton.map₂._proof_43 0.001094 s: category_theory.thin_skeleton.map₂._proof_44 0.000305 s: category_theory.thin_skeleton.map₂._proof_45 0.000832 s: category_theory.thin_skeleton.map₂._proof_46 0.003383 s: category_theory.thin_skeleton.map₂._proof_47 0.005347 s: category_theory.thin_skeleton.map₂._proof_48 0.010244 s: category_theory.thin_skeleton.map₂._proof_49 0.000943 s: category_theory.thin_skeleton.map₂._proof_50 0.000698 s: category_theory.thin_skeleton.map₂._proof_51 0.000456 s: category_theory.thin_skeleton.map₂._proof_52 0.001562 s: category_theory.thin_skeleton.map₂._proof_53 0.000423 s: category_theory.thin_skeleton.map₂._proof_54 0.000440 s: category_theory.thin_skeleton.map₂._proof_55 0.001021 s: 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0.000211 s: mv_power_series.comm_ring._proof_2 0.000142 s: mv_power_series.comm_ring._proof_3 0.000263 s: mv_power_series.comm_ring._proof_4 0.000446 s: mv_power_series.comm_ring._proof_5 0.000646 s: mv_power_series.comm_ring._proof_6 0.000620 s: mv_power_series.comm_ring._proof_7 0.000211 s: mv_power_series.comm_ring._proof_8 0.000176 s: mv_power_series.comm_ring._proof_9 0.000128 s: mv_power_series.comm_ring._proof_10 0.000093 s: mv_power_series.comm_ring._proof_11 0.000360 s: mv_power_series.comm_ring._proof_12 0.000227 s: mv_power_series.comm_ring._proof_13 0.000135 s: mv_power_series.comm_ring._proof_14 0.000147 s: mv_power_series.comm_ring._proof_15 0.000128 s: mv_power_series.comm_ring._proof_16 0.144144 s: mv_power_series.comm_ring 0.000229 s: mv_power_series.inv_of_unit 0.046123 s: mv_power_series.inv_of_unit_eq 0.009278 s: mv_power_series.coeff_zero_eq_constant_coeff 0.001891 s: mv_power_series.coeff_zero_eq_constant_coeff_apply 0.004275 s: 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real.sqrt_pos 0.002147 s: real.sq_local_homeomorph._proof_2 0.002521 s: real.sq_local_homeomorph._proof_3 0.001303 s: real.sqr_sqrt 0.002507 s: real.sq_local_homeomorph._proof_4 0.002509 s: real.sq_local_homeomorph._proof_5 0.001738 s: real.sq_local_homeomorph._proof_6 0.091011 s: real.sq_local_homeomorph._proof_7 0.000545 s: filter.tendsto.sqrt 0.000346 s: continuous_within_at.sqrt 0.000194 s: continuous_on.sqrt 0.029363 s: real.sq_local_homeomorph._proof_8 0.005176 s: real.sq_local_homeomorph 0.002140 s: local_homeomorph.eventually_right_inverse 0.002574 s: local_homeomorph.has_strict_deriv_at_symm 0.006717 s: polynomial.derivative_monomial 0.001929 s: polynomial.derivative_C_mul_X_pow 0.000980 s: polynomial.eval_nat_cast 0.006231 s: polynomial.sum_C_index 0.004316 s: polynomial.derivative_C 0.000300 s: polynomial.eval_zero 0.000264 s: polynomial.eval_add 0.001570 s: polynomial.derivative_add 0.000735 s: polynomial.derivative_sum 0.000243 s: polynomial.C_add 0.000372 s: 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0.000177 s: continuous_linear_map.to_normed_ring._proof_1 0.004153 s: continuous_linear_map.to_normed_ring._proof_2 0.001885 s: continuous_linear_map.to_normed_ring._proof_3 0.020872 s: continuous_linear_map.to_normed_ring 0.003860 s: continuous_linear_map.coe_mul 0.005132 s: continuous_linear_equiv.to_unit._proof_1 0.004785 s: continuous_linear_equiv.to_unit._proof_2 0.002599 s: continuous_linear_equiv.to_unit 0.064597 s: continuous_linear_equiv.automorphism_group._proof_1 0.017842 s: continuous_linear_equiv.automorphism_group._proof_2 0.009075 s: continuous_linear_equiv.automorphism_group._proof_3 0.009417 s: continuous_linear_equiv.automorphism_group._proof_4 0.009868 s: continuous_linear_equiv.automorphism_group._proof_5 0.029290 s: continuous_linear_equiv.automorphism_group._proof_6 0.032034 s: continuous_linear_equiv.automorphism_group._proof_7 0.059157 s: continuous_linear_equiv.automorphism_group._proof_8 0.011538 s: continuous_linear_equiv.automorphism_group._proof_9 0.007677 s: continuous_linear_equiv.automorphism_group._proof_10 0.023029 s: continuous_linear_equiv.automorphism_group._proof_12 0.139076 s: continuous_linear_equiv.automorphism_group._proof_13 0.156484 s: continuous_linear_equiv.automorphism_group._proof_14 0.032441 s: continuous_linear_equiv.automorphism_group 0.004489 s: continuous_linear_equiv.of_unit._proof_1 0.002053 s: continuous_linear_equiv.of_unit._proof_2 0.002299 s: continuous_linear_equiv.of_unit._proof_3 0.002639 s: continuous_linear_equiv.of_unit._proof_4 0.000838 s: continuous_linear_equiv.of_unit._proof_5 0.000729 s: continuous_linear_equiv.of_unit._proof_6 0.004697 s: continuous_linear_equiv.of_unit 0.003770 s: continuous_linear_equiv.units_equiv._proof_1 0.004556 s: continuous_linear_equiv.units_equiv._proof_2 0.014087 s: continuous_linear_equiv.units_equiv._proof_3 0.003544 s: continuous_linear_equiv.units_equiv 0.006965 s: continuous_linear_equiv.trans_apply 0.004052 s: continuous_linear_equiv.units_equiv_apply 0.000921 s: coe_fn_coe_base 0.001247 s: is_bounded_bilinear_map.continuous_left 0.006665 s: units.norm_pos 0.003302 s: semi_normed_top_ring 0.001454 s: has_sum.has_sum_iff_compl 0.002234 s: summable.summable_compl_iff 0.001021 s: finset.summable 0.004300 s: set.finite.summable 0.000764 s: set.finite.summable_compl_iff 0.000741 s: ball_0_eq 0.002494 s: cauchy_seq_finset_iff_vanishing_norm 0.002139 s: multiset.le_sum_of_subadditive_on_pred 0.001131 s: multiset.le_sum_of_subadditive 0.001131 s: finset.le_sum_of_subadditive 0.013709 s: norm_sum_le 0.014332 s: norm_sum_le_of_le 0.005199 s: summable_iff_vanishing_norm 0.121446 s: cauchy_seq_finset_of_norm_bounded 0.014170 s: summable_of_norm_bounded 0.001992 s: summable_of_norm_bounded_eventually 0.000219 s: set.finite_lt_nat 0.007718 s: nat.cofinite_eq_at_top 0.010205 s: norm_pow_le' 0.004113 s: eventually_norm_pow_le 0.006655 s: normed_ring.summable_geometric_of_norm_lt_1 0.001366 s: add_equiv.map_sum 0.002592 s: finset.op_sum 0.000242 s: opposite.op_one 0.003142 s: units.op_pow 0.008842 s: op_geom_sum 0.000620 s: opposite.op_sub 0.001911 s: geom_sum_mul_neg 0.020982 s: mul_neg_geom_sum 0.004138 s: squeeze_zero_norm' 0.287643 s: tendsto_pow_at_top_nhds_0_of_norm_lt_1 0.045004 s: mul_neg_geom_series 0.002650 s: has_sum.mul_right 0.021282 s: geom_series_mul_neg 0.006393 s: units.one_sub 0.000438 s: norm_of_subsingleton 0.072944 s: units.add._proof_1 0.014294 s: units.add 0.002234 s: units.unit_of_nearby 0.001412 s: units.unit_of_nearby.equations._eqn_1 0.001052 s: units.add.equations._eqn_1 0.002065 s: units.one_sub_coe 0.005728 s: units.add_coe 0.002109 s: units.unit_of_nearby_coe 0.014239 s: units.is_open 0.000332 s: cauchy_seq_tendsto_of_complete 0.002257 s: filter.tendsto.smul 0.133848 s: continuous_linear_map.complete_space 0.220675 s: continuous_linear_equiv.is_open 0.013751 s: continuous_linear_equiv.nhds 0.004965 s: local_homeomorph.preimage_open_of_open_symm 0.003018 s: continuous_linear_map.inverse.equations._eqn_1 0.006736 s: continuous_linear_equiv.coe_injective 0.001612 s: continuous_linear_equiv.coe_inj 0.006611 s: continuous_linear_map.inverse_equiv 0.001992 s: continuous_linear_equiv.is_O_sub_rev 0.009189 s: has_fderiv_at_filter.is_O_sub_rev 0.022712 s: has_fderiv_at.of_local_left_inverse 0.008931 s: local_homeomorph.has_fderiv_at_symm 0.001285 s: times_cont_diff_at_of_subsingleton 0.000203 s: linear_map.unique_of_right._proof_1 0.000661 s: linear_map.unique_of_right 0.000198 s: continuous_linear_map.unique_of_right._proof_1 0.000683 s: continuous_linear_map.unique_of_right 0.000314 s: ring.inverse 0.023714 s: continuous_linear_equiv.comp_coe 0.000624 s: ring.inverse.equations._eqn_1 0.003805 s: units.inv_eq_of_mul_eq_one 0.000816 s: units.inv_unique 0.001860 s: ring.inverse_unit 0.015762 s: continuous_linear_map.ring_inverse_equiv 0.021876 s: continuous_linear_equiv.symm_trans_apply 0.015611 s: continuous_linear_equiv.symm_symm 0.002833 s: continuous_linear_map.inverse_non_equiv 0.000826 s: ring.inverse_non_unit 0.004837 s: continuous_linear_map.zero_comp 0.050727 s: continuous_linear_map.to_ring_inverse 0.006282 s: times_cont_diff.comp 0.002165 s: times_cont_diff.prod 0.000196 s: continuous_linear_map.to_normed_algebra._proof_1 0.000775 s: algebra.of_semimodule'._proof_1 0.004058 s: algebra.of_semimodule'._proof_2 0.004074 s: algebra.of_semimodule'._proof_3 0.000971 s: algebra.of_semimodule'._proof_4 0.013389 s: algebra.of_semimodule'._proof_5 0.015001 s: algebra.of_semimodule'._proof_6 0.012138 s: algebra.of_semimodule' 0.001953 s: algebra.of_semimodule._proof_1 0.001370 s: algebra.of_semimodule._proof_2 0.001449 s: algebra.of_semimodule 0.010950 s: continuous_linear_map.algebra._proof_1 0.000125 s: continuous_linear_map.algebra._proof_2 0.012120 s: continuous_linear_map.algebra._proof_3 0.021544 s: continuous_linear_map.comp_smul 0.017851 s: continuous_linear_map.algebra._proof_4 0.024620 s: continuous_linear_map.algebra 0.000142 s: continuous_linear_map.to_normed_algebra._proof_2 0.004262 s: continuous_linear_map.to_normed_algebra._proof_3 0.060593 s: continuous_linear_map.to_normed_algebra._proof_4 0.068716 s: continuous_linear_map.to_normed_algebra._proof_5 0.016236 s: continuous_linear_map.norm_id_le 0.001313 s: continuous_linear_map.id_apply 0.049797 s: div_le_of_nonneg_of_le_mul 0.018576 s: continuous_linear_map.ratio_le_op_norm 0.046577 s: continuous_linear_map.norm_id_of_nontrivial_seminorm 0.010607 s: continuous_linear_map.norm_id 0.030333 s: continuous_linear_map.to_normed_algebra._proof_6 0.055577 s: continuous_linear_map.to_normed_algebra 0.000318 s: continuous_linear_map.one_def 0.004054 s: units.nhds 0.008690 s: asymptotics.is_o_of_subsingleton 0.000221 s: asymptotics.is_O_of_subsingleton 0.000129 s: filter.eventually_iff 0.346372 s: cancel_factors.cancel_factors_lt 0.028991 s: norm_num.inv_one 0.004594 s: normed_ring.inverse_one_sub 0.010450 s: has_sum.norm_le_of_bounded 0.029102 s: tsum_of_norm_bounded 0.005722 s: has_sum_nat_add_iff' 0.062193 s: normed_ring.tsum_geometric_of_norm_lt_1 0.504765 s: normed_ring.inverse_one_sub_norm 0.329576 s: cancel_factors.cancel_factors_le 0.213903 s: normed_ring.inverse_add 0.000527 s: add_monoid_hom.coe_mul_left 0.001380 s: mul_left_continuous 0.104291 s: normed_ring.inverse_add_norm 0.000200 s: geom_sum.equations._eqn_1 0.036471 s: normed_ring.inverse_one_sub_nth_order 0.017015 s: normed_ring.inverse_add_nth_order 0.140596 s: normed_ring.inverse_add_norm_diff_nth_order 0.024190 s: normed_ring.inverse_add_norm_diff_first_order 0.002036 s: asymptotics.is_o_id_const 0.119020 s: normed_ring.inverse_continuous_at 0.016891 s: continuous_linear_map.to_semi_normed_ring._proof_1 0.021022 s: continuous_linear_map.to_semi_normed_ring 0.000176 s: continuous_linear_map.lmul_left_right._proof_1 0.001788 s: continuous_linear_map.lmul_left_right._proof_2 0.022162 s: continuous_linear_map.lmul_left_right._proof_3 0.000135 s: continuous_linear_map.lmul_left_right._proof_4 0.019400 s: continuous_linear_map.lmul_left_right._proof_5 0.015446 s: continuous_linear_map.lmul_left_right._proof_6 0.000204 s: continuous_linear_map.lmul_left_right._proof_7 0.036776 s: continuous_linear_map.lmul_left_right._proof_8 0.048439 s: continuous_linear_map.lmul_left_right._proof_9 0.019525 s: continuous_linear_map.lmul_left_right._proof_10 0.015575 s: continuous_linear_map.lmul_left_right._proof_11 0.002107 s: continuous_linear_map.lmul_left_right._proof_12 0.000813 s: continuous_linear_map.flip._proof_3 0.019621 s: continuous_linear_map.lmul_left_right._proof_13 0.019722 s: continuous_linear_map.flip._proof_4 0.022139 s: continuous_linear_map.lmul_left_right._proof_14 0.003690 s: continuous_linear_map.lmul_left_right._proof_15 0.001171 s: continuous_linear_map.flip._proof_1 0.013990 s: continuous_linear_map.flip._proof_2 0.003499 s: continuous_linear_map.flip._proof_5 0.017430 s: continuous_linear_map.flip._proof_6 0.032038 s: continuous_linear_map.flip._proof_7 0.038237 s: continuous_linear_map.flip._proof_8 0.034522 s: continuous_linear_map.flip._proof_9 0.016139 s: continuous_linear_map.smul_apply 0.064527 s: continuous_linear_map.flip._proof_10 0.026769 s: continuous_linear_map.flip._proof_11 0.046244 s: continuous_linear_map.le_op_norm₂ 0.054535 s: continuous_linear_map.flip._proof_12 0.061270 s: continuous_linear_map.flip 0.000243 s: continuous_linear_map.lmul_left_right._proof_16 0.008112 s: continuous_linear_map.compL._proof_1 0.002331 s: continuous_linear_map.lmul_left_right._proof_17 0.016411 s: continuous_linear_map.compL._proof_2 0.010420 s: continuous_linear_map.lmul_left_right._proof_18 0.000125 s: continuous_linear_map.lmul_left_right._proof_19 0.000859 s: continuous_linear_map.compL._proof_3 0.000755 s: continuous_linear_map.lmul_left_right._proof_20 0.016533 s: continuous_linear_map.compL._proof_4 0.011687 s: continuous_linear_map.lmul_left_right._proof_21 0.000244 s: continuous_linear_map.lmul_left_right._proof_22 0.014675 s: continuous_linear_map.compL._proof_5 0.011225 s: continuous_linear_map.lmul_left_right._proof_23 0.016715 s: continuous_linear_map.compL._proof_6 0.011068 s: continuous_linear_map.lmul_left_right._proof_24 0.002572 s: continuous_linear_map.compL._proof_7 0.001037 s: continuous_linear_map.lmul_left_right._proof_25 0.000618 s: continuous_linear_map.compL._proof_8 0.000655 s: continuous_linear_map.lmul_left_right._proof_26 0.014614 s: continuous_linear_map.compL._proof_9 0.009917 s: continuous_linear_map.lmul_left_right._proof_27 0.000145 s: continuous_linear_map.lmul_left_right._proof_28 0.000089 s: continuous_linear_map.lmul_left_right._proof_29 0.021263 s: continuous_linear_map.compL._proof_10 0.013318 s: continuous_linear_map.lmul_left_right._proof_30 0.028418 s: continuous_linear_map.compL._proof_11 0.026491 s: continuous_linear_map.lmul_left_right._proof_31 0.002909 s: continuous_linear_map.compL._proof_12 0.001006 s: continuous_linear_map.lmul_left_right._proof_32 0.018328 s: continuous_linear_map.compL._proof_13 0.016761 s: continuous_linear_map.compL._proof_14 0.021609 s: continuous_linear_map.compL._proof_15 0.010784 s: continuous_linear_map.compL._proof_16 0.021520 s: continuous_linear_map.compL._proof_17 0.008832 s: continuous_linear_map.comp_add 0.022810 s: continuous_linear_map.compL._proof_18 0.033840 s: continuous_linear_map.compL._proof_19 0.129714 s: continuous_linear_map.compL._proof_20 0.127146 s: continuous_linear_map.compL 0.000287 s: continuous_linear_map.lmul_right._proof_1 0.013142 s: continuous_linear_map.lmul_right._proof_2 0.020999 s: continuous_linear_map.lmul_right._proof_3 0.000131 s: continuous_linear_map.lmul_right._proof_4 0.000069 s: continuous_linear_map.lmul._proof_1 0.002472 s: continuous_linear_map.lmul._proof_2 0.016168 s: continuous_linear_map.lmul._proof_3 0.000235 s: continuous_linear_map.lmul._proof_4 0.004839 s: continuous_linear_map.lmulₗᵢ._proof_1 0.014914 s: continuous_linear_map.lmulₗᵢ._proof_2 0.000166 s: continuous_linear_map.lmulₗᵢ._proof_3 0.002901 s: continuous_linear_map.lmulₗᵢ._proof_4 0.018253 s: continuous_linear_map.lmulₗᵢ._proof_5 0.000157 s: continuous_linear_map.lmulₗᵢ._proof_6 0.000090 s: continuous_linear_map.lmulₗᵢ._proof_7 0.002711 s: continuous_linear_map.lmulₗᵢ._proof_8 0.009270 s: continuous_linear_map.lmulₗᵢ._proof_9 0.000190 s: continuous_linear_map.lmulₗᵢ._proof_10 0.004224 s: algebra.lmul_apply 0.098490 s: continuous_linear_map.lmulₗᵢ._proof_11 0.016116 s: continuous_linear_map.coe_coe 0.040456 s: linear_map.mk_continuous₂_apply 0.026503 s: normed_algebra.norm_one 0.256589 s: continuous_linear_map.lmulₗᵢ._proof_12 0.118958 s: continuous_linear_map.lmulₗᵢ 0.068447 s: continuous_linear_map.lmul 0.039353 s: continuous_linear_map.lmul_right 0.178704 s: continuous_linear_map.lmul_left_right 0.096015 s: continuous_linear_map.lmul_left_right_apply 0.029630 s: 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0.001398 s: local_equiv.prod 0.000843 s: model_with_corners.prod._proof_1 0.000817 s: model_with_corners.prod._proof_2 0.000730 s: model_with_corners.prod._proof_3 0.000511 s: model_with_corners.prod._proof_4 0.010646 s: model_with_corners.prod._proof_5 0.002324 s: submodule.prod_coe 0.025517 s: linear_map.map_coprod_prod 0.004988 s: submodule.map_id 0.002379 s: linear_map.prod_eq_sup_map 0.004784 s: linear_map.span_inl_union_inr 0.000503 s: mem_closure_iff_nhds 0.018336 s: eventually_nhds_norm_smul_sub_lt 0.001637 s: squeeze_zero_norm 0.600451 s: subset_tangent_cone_prod_left 0.447568 s: subset_tangent_cone_prod_right 0.003576 s: dense.prod 0.006369 s: unique_diff_within_at.prod 0.002182 s: unique_diff_on.prod 0.001307 s: model_with_corners.unique_diff' 0.001491 s: model_with_corners.prod._proof_6 0.001068 s: model_with_corners.continuous_to_fun 0.001711 s: model_with_corners.prod._proof_7 0.001666 s: model_with_corners.prod._proof_8 0.034688 s: model_with_corners.prod 0.003494 s: 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list.take 0.000215 s: list.drop._main 0.000075 s: list.drop 0.000663 s: list.take_nil 0.000472 s: list.length_eq_zero 0.002450 s: list.length_drop 0.000471 s: list.drop_eq_nil_of_le 0.000380 s: list.take._main.equations._eqn_3 0.000148 s: list.take.equations._eqn_3 0.000255 s: list.drop._main.equations._eqn_3 0.000105 s: list.drop.equations._eqn_3 0.005512 s: list.take_all_of_le 0.006573 s: encodable.length_le_encode 0.001084 s: primrec.nat_elim' 0.002237 s: primrec.nat_iterate 0.000235 s: encodable.encode_list_nil 0.000417 s: encodable.encode_list_cons 0.001997 s: primrec.bind_decode_iff 0.000281 s: primrec₂.option_some_iff 0.000745 s: primrec.map_decode_iff 0.007663 s: _private.1377535659.list_cases' 0.011541 s: _private.1721117849.list_foldl' 0.000072 s: primrec.succ 0.002737 s: _private.2993837219.list_cons' 0.000315 s: list.reverse_core._main.equations._eqn_1 0.000065 s: list.reverse_core.equations._eqn_1 0.001845 s: _private.2642565619.list_reverse' 0.000305 s: primrec.of_nat_iff 0.000389 s: primrec.of_nat 0.000479 s: primrec₂.swap 0.000675 s: primrec.option_map 0.010617 s: primcodable.list._proof_1 0.000108 s: primcodable.list 0.000273 s: primrec₂.of_eq 0.000676 s: bool_iff_false 0.000138 s: to_bool_ff_iff 0.000038 s: to_bool_ff 0.000034 s: of_to_bool_ff 0.000251 s: to_bool_congr 0.001134 s: primrec_rel.of_eq 0.000698 s: primrec_rel.comp₂ 0.000369 s: primrec_pred.of_eq 0.001180 s: primrec.dom_bool₂ 0.000048 s: primrec.band 0.000061 s: band._main.equations._eqn_1 0.000024 s: band.equations._eqn_1 0.000039 s: band._main.equations._eqn_2 0.000022 s: band.equations._eqn_2 0.000250 s: band_self 0.000230 s: band_ff 0.000155 s: band_tt 0.000290 s: tt_band 0.000138 s: ff_band 0.001529 s: bool.to_bool_and 0.001043 s: primrec.and 0.001732 s: nat.primrec.sub 0.000063 s: primrec.nat_sub 0.003066 s: primrec.nat_le 0.003636 s: primrec.eq 0.000832 s: primrec.list_foldl 0.000380 s: primrec.list_reverse 0.002094 s: primrec.list_foldr 0.002343 s: primrec.list_length 0.000483 s: 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s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_4 0.000144 s: nat.partrec.code.prec.sizeof_spec 0.000895 s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_5 0.006400 s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_6 0.005141 s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_7 0.000106 s: nat.partrec.code.rfind'.sizeof_spec 0.006202 s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_8 0.006113 s: evaln._main._pack._wf_rec_mk_dec_tactic._aux_9 0.001741 s: nat.partrec.code.evaln._main._pack 0.000034 s: nat.partrec.code.evaln._main 0.000011 s: nat.partrec.code.evaln 0.001697 s: nat.partrec.code.evaln._main._pack.equations._eqn_2 0.000120 s: nat.partrec.code.evaln._main.equations._eqn_2 0.000092 s: nat.partrec.code.evaln.equations._eqn_2 0.000105 s: has_bind.and_then.equations._eqn_1 0.000183 s: option.none_bind 0.000204 s: option.some_bind 0.001418 s: option.bind_eq_some 0.000151 s: guard.equations._eqn_1 0.000510 s: guard_true 0.000381 s: guard_false 0.001984 s: option.guard_eq_some' 0.002085 s: 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0.002719 s: filter.mem_map_seq_iff 0.004153 s: filter.map_prod 0.000496 s: filter.prod_eq 0.000157 s: set.seq 0.000245 s: set.mem_seq_iff 0.002406 s: set.seq_singleton 0.001440 s: filter.seq_mem_seq_sets 0.002200 s: filter.le_seq 0.002367 s: filter.seq_pure 0.000641 s: filter.prod_pure 0.001228 s: filter.map_pure 0.006776 s: Cauchy.uniform_inducing_pure_cauchy 0.007560 s: Cauchy.dense_range_pure_cauchy 0.306259 s: filter.le_lift' 0.007238 s: Cauchy.complete_space._match_1 0.001587 s: Cauchy.complete_space._match_2 0.001829 s: Cauchy.complete_space 0.000305 s: uniform_space.completion.complete_space 0.002554 s: uniform_space.separated_separation._match_1 0.002464 s: uniform_space.separated_separation._match_2 0.000146 s: uniform_space.separated_separation 0.000182 s: uniform_space.completion.separated_space 0.000450 s: uniform_space.comap_quotient_eq_uniformity 0.000487 s: filter.pure_injective 0.000588 s: Cauchy.uniform_embedding_pure_cauchy 0.002245 s: uniform_space.completion.comap_coe_eq_uniformity 0.000164 s: uniform_space.completion.uniform_inducing_coe 0.000097 s: dense_range.equations._eqn_1 0.000087 s: dense.equations._eqn_1 0.000318 s: dense_closure 0.000061 s: dense.of_closure 0.000222 s: image_closure_subset_closure_image 0.000458 s: continuous.range_subset_closure_image_dense 0.000277 s: dense_range.dense_image 0.000461 s: dense_range.comp 0.000543 s: function.surjective.dense_range 0.000254 s: dense_range.quotient 0.000347 s: uniform_space.completion.dense_range_coe 0.000170 s: uniform_space.completion.cpkg 0.000042 s: uniform_space.completion.abstract_completion.inhabited 0.000442 s: smooth_within_at 0.000423 s: list.mem._main.equations._eqn_2 0.001614 s: perfect_ring 0.002704 s: ring_equiv.to_ring_hom._proof_1 0.002048 s: ring_equiv.to_ring_hom._proof_2 0.002874 s: ring_equiv.to_ring_hom._proof_3 0.002447 s: ring_equiv.to_ring_hom._proof_4 0.002660 s: ring_equiv.to_ring_hom 0.000187 s: ring_equiv.has_coe_to_ring_hom 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perfection.lift._proof_4 0.000389 s: add_monoid_hom.iterate_map_add 0.001593 s: ring_hom.iterate_map_add 0.018222 s: perfection.lift._proof_5 0.059118 s: perfection.lift._proof_6 0.000665 s: subsemiring.to_comm_semiring._proof_1 0.000259 s: subsemiring.to_comm_semiring._proof_2 0.000269 s: subsemiring.to_comm_semiring._proof_3 0.005461 s: subsemiring.to_comm_semiring._proof_4 0.001896 s: subsemiring.to_comm_semiring._proof_5 0.000384 s: subsemiring.to_comm_semiring._proof_6 0.000350 s: subsemiring.to_comm_semiring._proof_7 0.000186 s: subsemiring.to_comm_semiring._proof_8 0.000286 s: subsemiring.to_comm_semiring._proof_9 0.000490 s: subsemiring.to_comm_semiring._proof_10 0.000444 s: subsemiring.to_comm_semiring._proof_11 0.000223 s: subsemiring.to_comm_semiring._proof_12 0.000255 s: subsemiring.to_comm_semiring._proof_13 0.000302 s: subsemiring.to_comm_semiring._proof_14 0.000251 s: subsemiring.to_comm_semiring._proof_15 0.004783 s: subsemiring.to_comm_semiring._proof_16 0.002200 s: subsemiring.to_comm_semiring 0.002272 s: pi.comm_semiring._proof_1 0.001899 s: pi.comm_semiring._proof_2 0.001594 s: pi.comm_semiring._proof_3 0.005904 s: pi.comm_semiring._proof_4 0.006532 s: pi.comm_semiring._proof_5 0.005130 s: pi.comm_semiring._proof_6 0.002452 s: pi.comm_semiring._proof_7 0.002273 s: pi.comm_semiring._proof_8 0.002099 s: pi.comm_semiring._proof_9 0.007009 s: pi.comm_semiring._proof_10 0.006597 s: pi.comm_semiring._proof_11 0.002017 s: pi.comm_semiring._proof_12 0.001707 s: pi.comm_semiring._proof_13 0.002562 s: pi.comm_semiring._proof_14 0.003118 s: pi.comm_semiring._proof_15 0.005105 s: pi.comm_semiring._proof_16 0.002975 s: pi.comm_semiring 0.000543 s: subsemiring.subtype._proof_1 0.000401 s: subsemiring.subtype._proof_2 0.000472 s: add_submonoid.subtype._proof_1 0.000376 s: add_submonoid.subtype._proof_2 0.001284 s: add_submonoid.subtype 0.000440 s: subsemiring.subtype._proof_3 0.000313 s: subsemiring.subtype._proof_4 0.010731 s: subsemiring.subtype 0.011135 s: 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0.005163 s: perfection_map.lift._proof_1 0.000377 s: ring_hom.ext_iff 0.032051 s: perfection_map.lift._proof_2 0.005825 s: perfection_map.lift 0.002267 s: perfection_map.lift_symm_apply 0.258894 s: ordnode.valid'.rotate_l_lemma₂ 0.000381 s: primcodable.vector.equations._eqn_1 0.024167 s: category_theory.functor.op_hom._proof_1 0.009519 s: category_theory.functor.op_hom._proof_2 0.014274 s: category_theory.functor.op_hom._proof_3 0.012942 s: category_theory.functor.op_hom 0.011194 s: category_theory.functor.op_hom.equations._eqn_1 0.000401 s: set.image2_mul 0.004222 s: set.image_image2 0.002268 s: set.image2_image_right 0.002030 s: set.image2_image_left 0.002001 s: set.image_mul 0.000615 s: mzip_with'._main 0.000059 s: mzip_with' 0.000872 s: mzip_with'._main.equations._eqn_1 0.000195 s: mzip_with'.equations._eqn_1 0.018219 s: add_monoid_hom.mk_ring_hom_of_mul_self_of_two_ne_zero._proof_1 0.000684 s: add_monoid_hom.mk_ring_hom_of_mul_self_of_two_ne_zero._proof_2 0.003395 s: add_monoid_hom.mk_ring_hom_of_mul_self_of_two_ne_zero._proof_3 0.022055 s: add_monoid_hom.mk_ring_hom_of_mul_self_of_two_ne_zero 0.005766 s: add_monoid_hom.coe_fn_mk_ring_hom_of_mul_self_of_two_ne_zero 0.033049 s: add_monoid_hom.coe_add_monoid_hom_mk_ring_hom_of_mul_self_of_two_ne_zero 0.000041 s: nat.lattice 0.000187 s: polynomial.trailing_degree 0.007960 s: with_top.well_founded_lt 0.005283 s: polynomial.trailing_degree_lt_wf 0.000207 s: fin2.cases_on 0.002064 s: typevec.append1._main 0.000053 s: typevec.append1 0.001971 s: typevec.split_fun._main 0.000183 s: typevec.split_fun 0.001483 s: mvpfunctor.obj_append1 0.000188 s: multiset.semilattice_sup_bot._proof_1 0.000204 s: multiset.semilattice_sup_bot._proof_2 0.000384 s: multiset.semilattice_sup_bot._proof_4 0.000544 s: multiset.semilattice_sup_bot._proof_5 0.000508 s: multiset.semilattice_sup_bot._proof_6 0.000522 s: multiset.semilattice_sup_bot._proof_7 0.003820 s: multiset.semilattice_sup_bot 0.001653 s: multiset.sup_eq_union 0.010899 s: multiset.count_sup 0.001954 s: category_theory.limits.is_iso_zero_equiv._proof_1 0.001091 s: category_theory.limits.is_iso_zero_equiv._proof_2 0.004546 s: category_theory.limits.is_iso_zero_equiv._proof_3 0.003732 s: category_theory.limits.is_iso_zero_equiv._proof_4 0.002706 s: category_theory.limits.is_iso_zero_equiv 0.000844 s: category_theory.limits.is_iso_zero_equiv_apply 0.000376 s: hahn_series.add_group._proof_1 0.000285 s: hahn_series.add_group._proof_2 0.000244 s: hahn_series.add_group._proof_3 0.000659 s: hahn_series.add_group._proof_4 0.000618 s: hahn_series.add_group._proof_5 0.000824 s: function.support_neg 0.000976 s: hahn_series.add_group._proof_6 0.000230 s: hahn_series.add_group._proof_7 0.000178 s: hahn_series.add_group._proof_8 0.000157 s: hahn_series.add_group._proof_9 0.000314 s: hahn_series.add_group._proof_10 0.000292 s: hahn_series.add_group._proof_11 0.002166 s: hahn_series.add_group._proof_12 0.005476 s: hahn_series.add_group._proof_13 0.004086 s: hahn_series.add_group 0.000867 s: hahn_series.neg_coeff' 0.004770 s: hahn_series.sub_coeff' 0.000522 s: measure_theory.simple_func.lattice._proof_6 0.000069 s: bool.to_nat 0.000070 s: bool.of_nat 0.000066 s: bool.decidable_forall_bool._proof_1 0.000051 s: bool.decidable_forall_bool 0.000407 s: bool.linear_order._proof_1 0.001773 s: bool.linear_order._proof_2 0.000098 s: bool.linear_order._proof_3 0.003752 s: bool.linear_order._proof_4 0.003907 s: bool.linear_order._proof_5 0.000249 s: bool.linear_order._proof_6 0.001887 s: bool.linear_order._proof_7 0.000129 s: bool.linear_order._proof_8 0.003124 s: bool.linear_order._proof_9 0.001326 s: bool.linear_order 0.000131 s: bool.to_nat.equations._eqn_1 0.000070 s: bool.of_nat.equations._eqn_1 0.000974 s: bool.of_nat_to_nat 0.000724 s: bool.to_bool_not 0.000074 s: decidable.to_bool.equations._eqn_1 0.001990 s: bool.of_nat_le_of_nat 0.003245 s: bool_of_nat_mem_Icc_of_mem_Icc_to_nat 0.000101 s: mvpfunctor.Mp 0.000058 s: mvpfunctor.M 0.000991 s: 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0.001462 s: category_theory.limits.coprod.map_id_id 0.000873 s: category_theory.limits.coprod.functor._proof_4 0.001021 s: category_theory.limits.coprod.inl_map_assoc 0.001241 s: category_theory.limits.coprod.inr_map_assoc 0.002130 s: category_theory.limits.coprod.map_map 0.001561 s: category_theory.limits.coprod.functor._proof_5 0.000093 s: category_theory.limits.coprod.functor._proof_6 0.000083 s: category_theory.limits.coprod.functor._proof_7 0.000068 s: category_theory.limits.coprod.functor._proof_8 0.000722 s: category_theory.limits.coprod.functor._proof_9 0.001271 s: category_theory.limits.coprod.functor._proof_10 0.000084 s: category_theory.limits.coprod.functor._proof_11 0.000070 s: category_theory.limits.coprod.functor._proof_12 0.000069 s: category_theory.limits.coprod.functor._proof_13 0.000650 s: category_theory.limits.coprod.functor._proof_14 0.001426 s: category_theory.limits.coprod.functor._proof_15 0.000098 s: category_theory.limits.coprod.functor._proof_16 0.000068 s: category_theory.limits.coprod.functor._proof_17 0.016609 s: category_theory.limits.coprod.functor._proof_18 0.044561 s: category_theory.limits.coprod.functor._proof_19 0.100124 s: category_theory.limits.coprod.functor._proof_20 0.020809 s: category_theory.limits.coprod.functor 0.007651 s: category_theory.coprod_monad._proof_1 0.000245 s: category_theory.coprod_monad._proof_2 0.002265 s: category_theory.limits.coprod.map_desc 0.003074 s: category_theory.limits.colimit.ι_desc_assoc 0.002011 s: category_theory.limits.binary_cofan.mk_ι_app_left 0.001635 s: category_theory.limits.binary_cofan.mk_ι_app_right 0.003508 s: category_theory.limits.coprod.desc_comp 0.013595 s: category_theory.coprod_monad._proof_3 0.026356 s: category_theory.coprod_monad._proof_4 0.033009 s: category_theory.coprod_monad._proof_5 0.004543 s: category_theory.limits.coprod.desc_inl_inr 0.029658 s: category_theory.coprod_monad._proof_6 0.012710 s: category_theory.coprod_monad 0.000179 s: 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category_theory.discrete.equivalence_counit_iso 0.000483 s: hahn_series.ring._proof_11 0.000478 s: topological_space.empty_nmem_countable_basis 0.000287 s: topological_space.nonempty_of_mem_countable_basis 0.000328 s: topological_space.encodable_countable_basis 0.001027 s: topological_space.is_topological_basis.mem_closure_iff 0.000964 s: topological_space.is_topological_basis.dense_iff 0.001672 s: topological_space.second_countable_topology.to_separable_space 0.001580 s: topological_space.second_countable_topology.to_separable_space.equations._eqn_1 0.000268 s: tangent_space 0.000046 s: local_equiv.refl 0.000103 s: model_with_corners_self._proof_1 0.000092 s: model_with_corners_self._proof_2 0.000079 s: model_with_corners_self._proof_3 0.001060 s: model_with_corners_self 0.000057 s: charted_space_self._proof_1 0.000140 s: charted_space_self._proof_2 0.000646 s: charted_space_self 0.000632 s: charted_space_self_atlas 0.003229 s: local_homeomorph.refl_symm 0.000108 s: local_equiv.refl_source 0.000253 s: local_equiv.refl_coe 0.005902 s: local_equiv.refl_trans 0.017940 s: local_homeomorph.refl_trans 0.002327 s: structure_groupoid.id_mem' 0.000443 s: structure_groupoid.id_mem 0.001237 s: has_groupoid_model_space 0.000682 s: model_space_smooth 0.000529 s: tangent_space.topological_space 0.000487 s: tangent_space.add_comm_group 0.034285 s: tangent_space.vector_space 0.004239 s: mdifferentiable_at 0.061585 s: mfderiv 0.073779 s: has_mfderiv_at 0.008384 s: unique_mdiff_within_at 0.066267 s: has_mfderiv_within_at 0.070630 s: unique_mdiff_within_at.eq 0.007938 s: unique_mdiff_within_at.equations._eqn_1 0.002532 s: model_with_corners.unique_diff 0.003717 s: unique_mdiff_within_at_univ 0.064353 s: has_mfderiv_within_at.equations._eqn_1 0.073792 s: has_mfderiv_at.equations._eqn_1 0.082030 s: has_mfderiv_within_at_univ 0.079290 s: has_mfderiv_at_unique 0.072101 s: mfderiv.equations._eqn_1 0.061114 s: mdifferentiable_at.has_mfderiv_at 0.067548 s: has_mfderiv_at.mdifferentiable_at 0.071014 s: has_mfderiv_at.mfderiv 0.007870 s: local_homeomorph.singleton_charted_space._proof_1 0.000067 s: local_homeomorph.singleton_charted_space._proof_2 0.000669 s: local_homeomorph.singleton_charted_space 0.000597 s: local_homeomorph.singleton_charted_space_chart_at_eq 0.003141 s: local_homeomorph.refl_local_equiv 0.000680 s: model_with_corners_self_local_equiv 0.006503 s: local_equiv.trans_refl 0.001742 s: local_equiv.refl_symm 0.000817 s: model_with_corners_self_coe 0.000137 s: function.surjective_id 0.000101 s: set.range_id 0.079689 s: has_mfderiv_within_at_iff_has_fderiv_within_at 0.070558 s: has_mfderiv_at_iff_has_fderiv_at 0.065489 s: has_fderiv_at.has_mfderiv_at 0.011660 s: continuous_linear_equiv.has_mfderiv_at 0.035289 s: continuous_linear_equiv.mfderiv_eq 0.007503 s: dfinsupp.map_range.linear_map._proof_1 0.003276 s: dfinsupp.map_range.linear_map._proof_2 0.003837 s: dfinsupp.coe_smul 0.015570 s: dfinsupp.map_range_smul 0.005868 s: dfinsupp.map_range.linear_map._proof_3 0.013012 s: dfinsupp.map_range.linear_map 0.017937 s: dfinsupp.map_range.linear_map.equations._eqn_1 0.000167 s: equiv.perm.sigma_congr_right 0.003618 s: equiv.sigma_congr_right_symm 0.000379 s: equiv.perm.sigma_congr_right_symm 0.000839 s: rack.pre_envel_group 0.009965 s: rack.pre_envel_group_rel' 0.000291 s: rack.pre_envel_group_rel 0.000069 s: rack.pre_envel_group_rel.refl 0.000307 s: rack.pre_envel_group_rel.dcases_on 0.000056 s: rack.pre_envel_group_rel'.rel 0.001382 s: rack.pre_envel_group_rel.symm 0.001028 s: rack.pre_envel_group_rel.trans 0.000360 s: rack.pre_envel_group.setoid._proof_1 0.000143 s: rack.pre_envel_group.setoid 0.000046 s: rack.envel_group 0.001043 s: rack.envel_group.div_inv_monoid._match_1 0.000784 s: rack.envel_group.div_inv_monoid._match_2 0.001007 s: rack.envel_group.div_inv_monoid._proof_4 0.000152 s: rack.envel_group.div_inv_monoid._proof_1 0.000942 s: turing.to_partrec.code 0.000591 s: turing.partrec_to_TM2.cont' 0.000118 s: turing.partrec_to_TM2.cont'.cases_on 0.000164 s: turing.partrec_to_TM2.cont'.no_confusion_type 0.000451 s: turing.partrec_to_TM2.cont'.no_confusion 0.000149 s: turing.partrec_to_TM2.cont'.comp.inj 0.000077 s: turing.partrec_to_TM2.cont'.comp.inj_arrow 0.000404 s: relation.trans_gen 0.000066 s: turing.reaches₁ 0.000099 s: turing.frespects._main 0.000189 s: turing.frespects._main.equations._eqn_2 0.000862 s: direct_sum.ghas_mul 0.000249 s: direct_sum.ghas_one 0.000388 s: direct_sum.ghas_mul.mul 0.000586 s: direct_sum.ghas_mul.to_sigma_has_mul 0.000115 s: direct_sum.ghas_one.one 0.000130 s: direct_sum.ghas_one.to_sigma_has_one 0.002784 s: direct_sum.gmonoid 0.001494 s: add_monoid_hom.comp_zero 0.000267 s: add_monoid_hom.comp_hom._proof_1 0.002427 s: add_monoid_hom.comp_add 0.001112 s: add_monoid_hom.zero_comp 0.006667 s: add_monoid_hom.comp_hom._proof_2 0.007242 s: add_monoid_hom.add_comp 0.008496 s: add_monoid_hom.comp_hom._proof_3 0.003664 s: add_monoid_hom.comp_hom 0.001842 s: direct_sum.mul_hom 0.000636 s: direct_sum.has_mul 0.004195 s: direct_sum.distrib._proof_1 0.004409 s: direct_sum.distrib._proof_2 0.000837 s: direct_sum.distrib 0.001146 s: direct_sum.gmonoid.to_ghas_mul 0.000194 s: direct_sum.semiring._proof_1 0.005064 s: direct_sum.mul_zero_class._proof_1 0.002701 s: direct_sum.mul_zero_class._proof_2 0.000553 s: direct_sum.mul_zero_class 0.000194 s: direct_sum.semiring._proof_2 0.000243 s: direct_sum.semiring._proof_3 0.000433 s: direct_sum.semiring._proof_4 0.000341 s: direct_sum.semiring._proof_5 0.000267 s: direct_sum.semiring._proof_6 0.005006 s: direct_sum.add_hom_ext 0.003229 s: direct_sum.add_hom_ext' 0.002252 s: direct_sum.mul_hom.equations._eqn_1 0.002296 s: add_monoid_hom.flip_apply 0.002777 s: add_monoid_hom.comp_hom_apply_apply 0.017495 s: direct_sum.mul_hom_of_of 0.002775 s: dfinsupp.single_eq_of_sigma_eq 0.001687 s: direct_sum.gmonoid.mul_assoc 0.076145 s: _private.3644767627.mul_assoc 0.000707 s: direct_sum.semiring._proof_7 0.002427 s: direct_sum.has_one 0.001068 s: direct_sum.gmonoid.to_ghas_one 0.004261 s: direct_sum.gmonoid.one_mul 0.022537 s: _private.1441670277.one_mul 0.003029 s: direct_sum.semiring._proof_8 0.002385 s: direct_sum.gmonoid.mul_one 0.015738 s: _private.195470289.mul_one 0.003511 s: direct_sum.semiring._proof_9 0.000849 s: direct_sum.semiring._proof_10 0.000491 s: direct_sum.semiring._proof_11 0.002822 s: direct_sum.semiring._proof_12 0.002567 s: direct_sum.semiring._proof_13 0.000594 s: direct_sum.semiring._proof_14 0.000543 s: direct_sum.semiring._proof_15 0.000583 s: direct_sum.semiring._proof_16 0.000562 s: direct_sum.semiring._proof_17 0.010481 s: direct_sum.semiring 0.000496 s: direct_sum.ring._proof_1 0.000400 s: direct_sum.ring._proof_2 0.000481 s: direct_sum.ring._proof_3 0.001654 s: direct_sum.ring._proof_4 0.000960 s: direct_sum.ring._proof_5 0.000454 s: dfinsupp.add_group._proof_1 0.000417 s: dfinsupp.add_group._proof_2 0.000366 s: dfinsupp.add_group._proof_3 0.000693 s: dfinsupp.add_group._proof_4 0.000602 s: dfinsupp.add_group._proof_5 0.000094 s: dfinsupp.has_neg._proof_1 0.000284 s: dfinsupp.has_neg 0.000288 s: dfinsupp.add_group._proof_6 0.000251 s: dfinsupp.add_group._proof_7 0.000236 s: dfinsupp.add_group._proof_8 0.000449 s: dfinsupp.add_group._proof_9 0.000540 s: dfinsupp.add_group._proof_10 0.001326 s: dfinsupp.add_group._proof_11 0.002530 s: dfinsupp.neg_apply 0.014671 s: dfinsupp.add_group._proof_12 0.007548 s: dfinsupp.add_group 0.000624 s: dfinsupp.add_comm_group._proof_1 0.000393 s: dfinsupp.add_comm_group._proof_2 0.000448 s: dfinsupp.add_comm_group._proof_3 0.000960 s: dfinsupp.add_comm_group._proof_4 0.000736 s: dfinsupp.add_comm_group._proof_5 0.001004 s: dfinsupp.add_comm_group._proof_6 0.001089 s: dfinsupp.add_comm_group._proof_7 0.010034 s: dfinsupp.add_comm_group._proof_8 0.007205 s: dfinsupp.add_comm_group 0.004897 s: direct_sum.add_comm_group 0.001392 s: direct_sum.ring._proof_6 0.000840 s: direct_sum.ring._proof_7 0.000587 s: direct_sum.ring._proof_8 0.000487 s: direct_sum.ring._proof_9 0.000418 s: direct_sum.ring._proof_10 0.000336 s: direct_sum.ring._proof_11 0.000568 s: direct_sum.ring._proof_12 0.000531 s: direct_sum.ring._proof_13 0.000415 s: direct_sum.ring._proof_14 0.000391 s: direct_sum.ring._proof_15 0.428140 s: direct_sum.ring 0.000106 s: direct_sum.grade_zero.has_scalar._proof_1 0.001177 s: direct_sum.grade_zero.has_scalar 0.000262 s: direct_sum.grade_zero.has_mul 0.005128 s: dfinsupp.mk_injective 0.002801 s: dfinsupp.single_injective 0.000518 s: direct_sum.grade_zero.mul_zero_class._proof_1 0.000648 s: direct_sum.grade_zero.mul_zero_class._proof_2 0.008256 s: direct_sum.of_mul_of 0.007644 s: direct_sum.of_zero_smul 0.002180 s: direct_sum.of_zero_mul 0.000924 s: direct_sum.grade_zero.mul_zero_class._proof_3 0.002603 s: direct_sum.grade_zero.mul_zero_class 0.000180 s: direct_sum.grade_zero.has_one 0.000417 s: direct_sum.grade_zero.distrib._proof_1 0.000715 s: direct_sum.grade_zero.distrib._proof_2 0.000787 s: direct_sum.grade_zero.distrib._proof_3 0.002955 s: direct_sum.grade_zero.distrib 0.000483 s: direct_sum.grade_zero.ring._proof_1 0.000506 s: direct_sum.grade_zero.ring._proof_2 0.001948 s: direct_sum.of_zero_one 0.001074 s: direct_sum.grade_zero.ring._proof_3 0.000892 s: direct_sum.grade_zero.ring._proof_4 0.001417 s: direct_sum.grade_zero.ring._proof_5 0.340929 s: direct_sum.grade_zero.ring._proof_6 0.363938 s: direct_sum.grade_zero.ring._proof_7 0.396997 s: direct_sum.grade_zero.ring 0.450002 s: direct_sum.grade_zero.ring.equations._eqn_1 0.000184 s: linear_map.to_continuous_linear_map._proof_1 0.082629 s: linear_map.to_continuous_linear_map._proof_3 0.000241 s: linear_map.to_continuous_linear_map._proof_4 0.090435 s: linear_map.to_continuous_linear_map._proof_2 0.000118 s: linear_map.to_continuous_linear_map._proof_5 0.076726 s: linear_map.to_continuous_linear_map._proof_6 0.078579 s: linear_map.to_continuous_linear_map._proof_7 0.000124 s: linear_map.to_continuous_linear_map._proof_8 0.066565 s: linear_map.to_continuous_linear_map._proof_9 0.081094 s: linear_map.to_continuous_linear_map._proof_10 0.072018 s: linear_map.to_continuous_linear_map._proof_11 0.067009 s: linear_map.to_continuous_linear_map._proof_12 0.085970 s: linear_map.to_continuous_linear_map 0.097878 s: linear_map.coe_to_continuous_linear_map_symm 0.019404 s: linear_map.of_is_compl_prod_equiv._proof_6 0.000109 s: triv_sq_zero_ext.has_add 0.000597 s: triv_sq_zero_ext.fst_add 0.000238 s: triv_sq_zero_ext.fst_hom._proof_4 0.000315 s: finset.insert_nonempty 0.000063 s: category_theory.under 0.000090 s: category_theory.under.category 0.012202 s: category_theory.under.w 0.000651 s: is_add_submonoid 0.000488 s: is_add_subgroup 0.000303 s: is_subring 0.000191 s: is_add_submonoid.add_mem 0.001535 s: subtype.add_monoid._proof_1 0.002251 s: subtype.add_monoid._proof_2 0.000284 s: is_add_submonoid.zero_mem 0.002244 s: subtype.add_monoid._proof_3 0.001687 s: subtype.add_monoid._proof_4 0.001500 s: subtype.add_monoid._proof_5 0.001648 s: subtype.add_monoid._proof_6 0.003423 s: subtype.add_monoid._proof_7 0.005255 s: subtype.add_monoid._proof_8 0.003929 s: subtype.add_monoid 0.000170 s: is_add_subgroup.to_is_add_submonoid 0.000334 s: subtype.add_group._proof_1 0.000276 s: subtype.add_group._proof_2 0.000430 s: subtype.add_group._proof_3 0.000668 s: subtype.add_group._proof_4 0.000423 s: subtype.add_group._proof_5 0.000176 s: is_add_subgroup.neg_mem 0.000556 s: subtype.add_group._proof_6 0.000610 s: is_add_subgroup.sub_mem 0.000521 s: subtype.add_group._proof_7 0.004116 s: subtype.add_group._proof_8 0.008572 s: subtype.add_group._proof_9 0.004429 s: subtype.add_group 0.000432 s: subtype.add_comm_group._proof_1 0.000342 s: subtype.add_comm_group._proof_2 0.000404 s: subtype.add_comm_group._proof_3 0.000444 s: subtype.add_comm_group._proof_4 0.000413 s: subtype.add_comm_group._proof_5 0.001105 s: subtype.add_comm_group._proof_6 0.000875 s: subtype.add_comm_group._proof_7 0.000251 s: subtype.add_comm_monoid._proof_1 0.000199 s: subtype.add_comm_monoid._proof_2 0.000316 s: subtype.add_comm_monoid._proof_3 0.000422 s: subtype.add_comm_monoid._proof_4 0.000371 s: subtype.add_comm_monoid._proof_5 0.001916 s: subtype.add_comm_monoid._proof_6 0.001134 s: subtype.add_comm_monoid 0.005120 s: subtype.add_comm_group._proof_8 0.005658 s: subtype.add_comm_group 0.000186 s: is_subring.to_is_add_subgroup 0.000527 s: subset.ring._proof_1 0.000433 s: subset.ring._proof_2 0.000260 s: subset.ring._proof_3 0.000581 s: subset.ring._proof_4 0.000469 s: subset.ring._proof_5 0.000800 s: subset.ring._proof_6 0.001073 s: subset.ring._proof_7 0.000415 s: subset.ring._proof_8 0.000344 s: is_submonoid.mul_mem 0.000714 s: subtype.monoid._proof_1 0.002710 s: subtype.monoid._proof_2 0.000180 s: is_submonoid.one_mem 0.001858 s: subtype.monoid._proof_3 0.001565 s: subtype.monoid._proof_4 0.001850 s: subtype.monoid._proof_5 0.001636 s: subtype.monoid._proof_6 0.004003 s: subtype.monoid._proof_7 0.003548 s: subtype.monoid._proof_8 0.003619 s: subtype.monoid 0.000121 s: is_subring.to_is_submonoid 0.000294 s: subset.ring._proof_9 0.000230 s: subset.ring._proof_10 0.000229 s: subset.ring._proof_11 0.000398 s: subset.ring._proof_12 0.000375 s: subset.ring._proof_13 0.006997 s: subset.ring._proof_14 0.004497 s: subset.ring._proof_15 0.002993 s: subset.ring 0.000317 s: subset.comm_ring._proof_1 0.000223 s: subset.comm_ring._proof_2 0.000169 s: subset.comm_ring._proof_3 0.000503 s: subset.comm_ring._proof_4 0.000396 s: subset.comm_ring._proof_5 0.000609 s: subset.comm_ring._proof_6 0.000554 s: subset.comm_ring._proof_7 0.000205 s: subset.comm_ring._proof_8 0.000174 s: subset.comm_ring._proof_9 0.000180 s: subset.comm_ring._proof_10 0.000359 s: subset.comm_ring._proof_11 0.000488 s: subset.comm_ring._proof_12 0.000382 s: subset.comm_ring._proof_13 0.000278 s: subset.comm_ring._proof_14 0.000318 s: subset.comm_ring._proof_15 0.003348 s: subset.comm_ring._proof_16 0.003030 s: subset.comm_ring 0.068397 s: subring.domain._proof_13 0.005618 s: omega.ee 0.000039 s: omega.term 0.000013 s: omega.clause 0.000150 s: omega.ee.cases_on 0.000171 s: omega.term.div._main 0.000012 s: omega.term.div 0.000067 s: list.func.neg 0.000137 s: omega.term.neg._main 0.000247 s: omega.term.neg 0.000481 s: list.func.get._main 0.000027 s: list.func.get 0.000099 s: int.inhabited 0.000110 s: omega.symdiv 0.000048 s: omega.symmod 0.000019 s: omega.sym_sym 0.001178 s: list.func.set._main 0.000034 s: list.func.set 0.000111 s: omega.coeffs_reduce._main 0.000014 s: omega.coeffs_reduce 0.000068 s: omega.rhs._main 0.000012 s: omega.rhs 0.000499 s: list.func.pointwise._main 0.000073 s: list.func.pointwise 0.000064 s: list.func.add 0.000107 s: omega.term.add._main 0.000010 s: omega.term.add 0.000098 s: omega.term.mul._main 0.000030 s: omega.term.mul 0.000113 s: omega.subst 0.000036 s: omega.cancel 0.001963 s: omega.eq_elim._main 0.001135 s: omega.eq_elim._main.equations._eqn_6 0.003089 s: polynomial.smul_monomial 0.000081 s: cmp 0.005179 s: order.partial_iso 0.014848 s: order.partial_iso.comm._proof_1 0.007440 s: order.partial_iso.comm 0.008701 s: order.partial_iso.comm.equations._eqn_1 0.000046 s: int.gcd 0.000151 s: int.gcd_dvd_right 0.000039 s: int.gcd_monoid._proof_5 0.000026 s: Meas 0.000201 s: category_theory.unbundled_hom.hom_id 0.000110 s: category_theory.unbundled_hom.bundled_hom._proof_1 0.000321 s: category_theory.unbundled_hom.hom_comp 0.000598 s: category_theory.unbundled_hom.bundled_hom._proof_2 0.000179 s: category_theory.unbundled_hom.bundled_hom._proof_3 0.000143 s: category_theory.unbundled_hom.bundled_hom._proof_4 0.000570 s: category_theory.unbundled_hom.bundled_hom._proof_5 0.001326 s: category_theory.unbundled_hom.bundled_hom 0.000200 s: Meas.unbundled_hom 0.000188 s: Meas.large_category 0.000230 s: measure_theory.measure.measurable_space 0.000083 s: Meas.has_coe_to_sort 0.000170 s: Meas.measurable_space 0.002926 s: measure_theory.measure.map._proof_1 0.003765 s: measure_theory.measure.map 0.017219 s: measure_theory.measure.measurable_of_measurable_coe 0.007591 s: measure_theory.measure.map.equations._eqn_1 0.013074 s: measure_theory.measure.map_apply 0.014463 s: measure_theory.measure.measurable_coe 0.003865 s: measure_theory.measure.measurable_map 0.002253 s: Meas.Measure._proof_1 0.000313 s: category_theory.bundled.cases_on 0.001010 s: measure_theory.measure.map_id 0.007345 s: Meas.Measure._match_1 0.004261 s: Meas.Measure._proof_2 0.002916 s: measure_theory.measure.map_map 0.017268 s: Meas.Measure._match_2 0.011934 s: Meas.Measure._match_3 0.006463 s: Meas.Measure._proof_3 0.002924 s: Meas.Measure 0.001469 s: set.indicator_eq_zero 0.001802 s: set.disjoint_empty 0.000192 s: set.indicator_empty 0.000526 s: measure_theory.outer_measure.dirac._proof_1 0.000991 s: set.le_indicator_apply 0.000260 s: set.indicator_apply_nonneg 0.000523 s: set.indicator_le_indicator_of_subset 0.033295 s: measure_theory.outer_measure.dirac._proof_2 0.003857 s: measure_theory.outer_measure.dirac._match_1 0.024169 s: measure_theory.outer_measure.dirac._proof_3 0.000426 s: measure_theory.outer_measure.dirac 0.000446 s: measure_theory.outer_measure.dirac_apply 0.012370 s: measure_theory.outer_measure.dirac_caratheodory 0.015431 s: measure_theory.measure.dirac._proof_1 0.000090 s: measure_theory.measure.dirac 0.004601 s: measure_theory.measure.dirac_apply' 0.000502 s: measurable.indicator 0.000748 s: measure_theory.measure.measurable_dirac 0.000627 s: Meas.Giry._proof_1 0.002587 s: measure_theory.measure.map_dirac 0.008947 s: Meas.Giry._match_1 0.002694 s: Meas.Giry._proof_2 0.002562 s: measure_theory.measure.join._proof_1 0.000414 s: directed.sequence._match_1 0.000662 s: directed.sequence._main 0.000091 s: directed.sequence 0.001397 s: directed.sequence._main.equations._eqn_2 0.000348 s: directed.sequence.equations._eqn_2 0.000367 s: directed.sequence._match_1.equations._eqn_2 0.001584 s: directed.rel_sequence 0.000181 s: directed.le_sequence 0.001544 s: directed.sequence_mono_nat 0.002437 s: directed.sequence_mono 0.037786 s: measure_theory.lintegral_supr_directed 0.006807 s: finset.measurable_sum' 0.001464 s: finset.measurable_sum 0.006637 s: measure_theory.lintegral_finset_sum 0.028240 s: measure_theory.lintegral_tsum 0.004893 s: measure_theory.measure.join._proof_2 0.000398 s: measure_theory.measure.join 0.005238 s: measure_theory.measure.of_measurable_apply 0.000556 s: measure_theory.measure.join_apply 0.019496 s: borel_eq_generate_Iio 0.011287 s: borel_eq_generate_Ioi 0.000605 s: measurable_generate_from 0.000382 s: set.set_of_exists 0.004033 s: measurable.is_lub 0.010130 s: measurable_supr 0.000285 s: measurable.const_mul 0.003569 s: measure_theory.measure.measurable_lintegral 0.001090 s: measure_theory.measure.measurable_join 0.000124 s: Meas.Giry._proof_3 0.002520 s: measure_theory.simple_func.lintegral_map 0.001485 s: measure_theory.simple_func.approx_comp 0.007324 s: measure_theory.simple_func.eapprox_comp 0.003407 s: measure_theory.lintegral_map 0.003002 s: measure_theory.measure.join_map_map 0.009615 s: Meas.Giry._match_2 0.003548 s: Meas.Giry._proof_4 0.000478 s: measure_theory.measure.bind 0.000442 s: measure_theory.measure.bind.equations._eqn_1 0.000992 s: measure_theory.measure.join_eq_bind 0.001510 s: measure_theory.measure.bind_apply 0.000760 s: measure_theory.measure.measurable_bind' 0.010196 s: measure_theory.measure.lintegral_join 0.001451 s: measure_theory.measure.lintegral_bind 0.002043 s: measure_theory.measure.bind_bind 0.001260 s: measure_theory.measure.join_map_join 0.008584 s: Meas.Giry._proof_5 0.002674 s: measure_theory.mem_ae_dirac_iff 0.000227 s: measure_theory.ae_dirac_iff 0.000692 s: measure_theory.ae_eq_dirac' 0.007713 s: measure_theory.outer_measure.le_trim 0.003382 s: measure_theory.le_to_measure_apply 0.000793 s: measure_theory.measure.le_dirac_apply 0.007975 s: measure_theory.measure.dirac_apply_of_mem 0.002853 s: measure_theory.lintegral_dirac' 0.001386 s: measure_theory.measure.bind_dirac 0.000256 s: measure_theory.measure.join_dirac 0.007461 s: Meas.Giry._proof_6 0.000627 s: set.indicator_le_self' 0.000425 s: set.indicator_le_self 0.001459 s: set.indicator_rel_indicator 0.000238 s: set.indicator_le_indicator 0.034812 s: measure_theory.lintegral_indicator 0.005609 s: measure_theory.lintegral_one 0.002018 s: measure_theory.measure.dirac_bind 0.000458 s: measure_theory.measure.join_map_dirac 0.009477 s: Meas.Giry._proof_7 0.004935 s: Meas.Giry 0.000054 s: Meas.of 0.000124 s: Meas.Integral._proof_1 0.007394 s: Meas.Integral._proof_2 0.010351 s: Meas.Integral._proof_3 0.002796 s: Meas.Integral 0.000111 s: nat.gcd_monoid._proof_1 0.000077 s: nat.gcd_monoid._proof_2 0.000505 s: eq_inv_of_eq_inv 0.014988 s: nat.gcd_monoid._proof_3 0.000085 s: nat.lcm 0.000090 s: nat.gcd_monoid._proof_4 0.000042 s: nat.gcd_monoid._proof_5 0.002060 s: nat.gcd_mul_lcm 0.026054 s: nat.gcd_monoid._proof_6 0.002385 s: nat.lcm_zero_left 0.001750 s: nat.lcm_comm 0.000052 s: nat.lcm_zero_right 0.011057 s: nat.gcd_monoid 0.000495 s: nat.lcm_eq_lcm 0.003892 s: hahn_series.summable_family 0.000577 s: hahn_series.summable_family.co_support 0.000666 s: hahn_series.summable_family.to_fun 0.000999 s: hahn_series.summable_family.mem_co_support' 0.000874 s: category_theory.is_left_adjoint 0.000669 s: category_theory.monoidal_category.tensor_left._proof_1 0.000750 s: category_theory.monoidal_category.tensor_left._proof_2 0.000690 s: category_theory.monoidal_category.tensor_left 0.000560 s: category_theory.closed 0.000060 s: category_theory.limits.has_terminal 0.000174 s: category_theory.limits.has_binary_product 0.000112 s: category_theory.limits.prod 0.000237 s: category_theory.monoidal_of_has_finite_products._proof_1 0.001300 s: category_theory.limits.prod.map 0.000118 s: category_theory.monoidal_of_has_finite_products._proof_2 0.000070 s: category_theory.monoidal_of_has_finite_products._proof_3 0.000333 s: category_theory.limits.prod.fst 0.000375 s: category_theory.limits.prod.snd 0.003281 s: category_theory.limits.binary_fan.is_limit.hom_ext 0.001562 s: category_theory.limits.prod.hom_ext 0.001697 s: category_theory.limits.prod.map_fst 0.001345 s: category_theory.limits.prod.map_snd 0.001416 s: category_theory.limits.prod.map_id_id 0.000787 s: category_theory.monoidal_of_has_finite_products._proof_4 0.000961 s: category_theory.limits.prod.map_fst_assoc 0.000837 s: category_theory.limits.prod.map_snd_assoc 0.002883 s: category_theory.limits.prod.map_map 0.001671 s: category_theory.monoidal_of_has_finite_products._proof_5 0.000197 s: category_theory.limits.terminal._proof_1 0.000149 s: category_theory.limits.terminal 0.000099 s: category_theory.limits.prod.associator._proof_1 0.000398 s: category_theory.limits.prod.associator._proof_2 0.000159 s: category_theory.limits.prod.associator._proof_3 0.000245 s: category_theory.limits.prod.associator._proof_4 0.000104 s: category_theory.limits.prod.associator._proof_5 0.000290 s: category_theory.limits.prod.associator._proof_6 0.000150 s: category_theory.limits.prod.associator._proof_7 0.000230 s: category_theory.limits.prod.associator._proof_8 0.000789 s: category_theory.limits.prod.lift 0.000179 s: category_theory.limits.prod.associator._proof_9 0.000278 s: category_theory.limits.prod.associator._proof_10 0.000076 s: category_theory.limits.prod.associator._proof_11 0.000065 s: category_theory.limits.prod.associator._proof_13 0.000123 s: category_theory.limits.prod.associator._proof_14 0.000134 s: category_theory.limits.prod.associator._proof_15 0.000072 s: category_theory.limits.prod.associator._proof_16 0.000127 s: category_theory.limits.prod.associator._proof_17 0.000335 s: category_theory.limits.prod.associator._proof_18 0.000073 s: category_theory.limits.prod.associator._proof_19 0.000169 s: category_theory.limits.prod.associator._proof_20 0.001227 s: category_theory.limits.prod.lift_fst 0.000826 s: category_theory.limits.prod.lift_snd 0.001729 s: category_theory.limits.prod.comp_lift 0.001001 s: category_theory.limits.prod.lift_snd_assoc 0.003533 s: category_theory.limits.prod.associator._proof_21 0.000880 s: category_theory.limits.prod.lift_fst_assoc 0.003231 s: category_theory.limits.prod.associator._proof_22 0.003099 s: category_theory.limits.prod.associator 0.002479 s: category_theory.limits.prod.associator_hom 0.002139 s: category_theory.limits.prod.lift_map 0.001275 s: category_theory.limits.prod.lift_fst_snd 0.001376 s: category_theory.limits.prod.lift_fst_comp_snd_comp 0.008249 s: category_theory.limits.prod.associator_naturality 0.000450 s: category_theory.limits.as_empty_cone._aux_1 0.001968 s: category_theory.limits.as_empty_cone._proof_1 0.001063 s: category_theory.limits.as_empty_cone 0.000457 s: category_theory.limits.terminal.from 0.001449 s: category_theory.limits.unique_to_terminal._proof_1 0.000308 s: category_theory.limits.unique_to_terminal 0.000513 s: category_theory.limits.terminal.comp_from 0.001975 s: category_theory.limits.prod.left_unitor._proof_1 0.000796 s: category_theory.limits.prod.left_unitor._proof_2 0.000448 s: category_theory.limits.prod.left_unitor 0.000121 s: category_theory.monoidal_of_has_finite_products._proof_6 0.001984 s: category_theory.monoidal_of_has_finite_products._proof_7 0.001550 s: category_theory.limits.prod.right_unitor._proof_1 0.000760 s: category_theory.limits.prod.right_unitor._proof_2 0.000451 s: category_theory.limits.prod.right_unitor 0.000214 s: category_theory.monoidal_of_has_finite_products._proof_8 0.001653 s: category_theory.monoidal_of_has_finite_products._proof_9 0.020175 s: category_theory.limits.prod.pentagon 0.007849 s: category_theory.limits.prod.triangle 0.007001 s: category_theory.monoidal_of_has_finite_products 0.000155 s: category_theory.limits.has_finite_products.out 0.000065 s: category_theory.limits.has_limits_of_shape_discrete 0.000066 s: pempty.fintype._proof_1 0.000075 s: pempty.fintype 0.000207 s: category_theory.exponentiable 0.000262 s: category_theory.is_left_adjoint.right 0.000169 s: category_theory.closed.is_adj 0.000322 s: category_theory.exp 0.000194 s: category_theory.cartesian_closed.uncurry._proof_1 0.000093 s: category_theory.limits.prod.functor._proof_1 0.000094 s: category_theory.limits.prod.functor._proof_2 0.000091 s: category_theory.limits.prod.functor._proof_3 0.001088 s: category_theory.limits.prod.functor._proof_4 0.001491 s: category_theory.limits.prod.functor._proof_5 0.000088 s: category_theory.limits.prod.functor._proof_6 0.000071 s: category_theory.limits.prod.functor._proof_7 0.000071 s: category_theory.limits.prod.functor._proof_8 0.000773 s: category_theory.limits.prod.functor._proof_9 0.001373 s: category_theory.limits.prod.functor._proof_10 0.000089 s: category_theory.limits.prod.functor._proof_11 0.000071 s: category_theory.limits.prod.functor._proof_12 0.000070 s: category_theory.limits.prod.functor._proof_13 0.000703 s: category_theory.limits.prod.functor._proof_14 0.001554 s: category_theory.limits.prod.functor._proof_15 0.000091 s: category_theory.limits.prod.functor._proof_16 0.000104 s: category_theory.limits.prod.functor._proof_17 0.013428 s: category_theory.limits.prod.functor._proof_18 0.041827 s: category_theory.limits.prod.functor._proof_19 0.098184 s: category_theory.limits.prod.functor._proof_20 0.019561 s: category_theory.limits.prod.functor 0.000474 s: category_theory.is_left_adjoint.adj 0.010769 s: category_theory.exp.adjunction 0.001627 s: category_theory.cartesian_closed.uncurry 0.000931 s: category_theory.ev 0.004262 s: category_theory.uncurry_eq 0.003540 s: category_theory.uncurry_id_eq_ev 0.000360 s: add_subgroup.to_add_group._proof_1 0.000620 s: add_subgroup.to_add_group._proof_2 0.000332 s: add_subgroup.to_add_group._proof_3 0.000380 s: add_subgroup.to_add_group._proof_4 0.000331 s: add_subgroup.to_add_group._proof_5 0.004528 s: add_subgroup.to_add_group 0.000159 s: measure_theory.simple_func.has_neg 0.001660 s: measure_theory.simple_func.coe_neg 0.000521 s: ae_measurable.neg 0.001263 s: add_subgroup.coe_neg 0.001945 s: measure_theory.ae_eq_fun.neg_mk 0.006837 s: measure_theory.L1.simple_func._match_3 0.002400 s: measure_theory.L1.simple_func._proof_3 0.002084 s: dense_inducing 0.000261 s: uniform_inducing.dense_inducing 0.001459 s: composition_as_set 0.000579 s: composition 0.000088 s: composition.blocks 0.000051 s: composition.length 0.000079 s: composition.size_up_to 0.000103 s: composition.blocks_sum 0.000282 s: list.take_zero 0.000372 s: list.drop._main.equations._eqn_1 0.000118 s: list.drop.equations._eqn_1 0.008240 s: list.sum_take_add_sum_drop 0.004661 s: composition.size_up_to_le 0.000231 s: composition.boundary._proof_1 0.006374 s: fin.strict_mono_iff_lt_succ 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list.nodup.nth_le_equiv._proof_2 0.000511 s: list.nodup.nth_le_equiv._proof_3 0.000538 s: list.nth_le_index_of 0.002885 s: list.nodup.nth_le_equiv._proof_4 0.003903 s: list.nodup.nth_le_equiv._proof_5 0.001857 s: list.nodup.nth_le_equiv 0.000307 s: ne_of_irrefl 0.000153 s: list.pairwise.nodup 0.000152 s: list.sorted.nodup 0.000116 s: list.sorted.nth_le_iso._proof_1 0.002297 s: list.sorted.rel_nth_le_of_lt 0.000984 s: list.sorted.nth_le_strict_mono 0.000974 s: list.sorted.nth_le_iso._proof_2 0.002208 s: list.sorted.nth_le_iso 0.000771 s: list.pairwise.and 0.000186 s: list.pairwise.imp₂ 0.001597 s: multiset.sort_sorted 0.000466 s: finset.sort_sorted 0.000536 s: finset.sort_eq 0.001225 s: finset.sort_nodup 0.004775 s: finset.sort_sorted_lt 0.000739 s: multiset.mem_sort 0.000501 s: finset.mem_sort 0.004376 s: finset.order_iso_of_fin._proof_4 0.003407 s: finset.order_iso_of_fin 0.000671 s: finset.order_emb_of_fin 0.000063 s: composition_as_set.boundary._proof_1 0.000402 s: 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0.000771 s: turing.TM2to1.Λ'.cases_on 0.000426 s: turing.TM2to1.Λ'.no_confusion_type 0.001214 s: turing.TM2to1.Λ'.no_confusion 0.000561 s: turing.TM2to1.Λ'.ret.inj 0.000345 s: turing.TM2to1.Λ'.ret.inj_arrow 0.007168 s: submodule.quot_equiv_of_eq_bot._proof_1 0.000606 s: is_local_max.comp_mono 0.001365 s: exp_neg_inv_glue.P_aux._sunfold 0.000169 s: turing.partrec_to_TM2.Γ' 0.001849 s: turing.partrec_to_TM2.Λ' 0.000418 s: turing.partrec_to_TM2.Λ'.cases_on 0.000404 s: turing.partrec_to_TM2.Λ'.no_confusion_type 0.001515 s: turing.partrec_to_TM2.Λ'.no_confusion 0.000235 s: turing.partrec_to_TM2.Λ'.pred.inj 0.000182 s: turing.partrec_to_TM2.Λ'.pred.inj_eq 0.015005 s: has_deriv_at.comp_has_fderiv_within_at 0.214015 s: has_fderiv_within_at.log 0.194474 s: fderiv_within.log 0.027727 s: category_theory.limits.cocones.functoriality._proof_1 0.013101 s: category_theory.limits.cocones.functoriality._proof_2 0.015346 s: category_theory.limits.cocones.functoriality._proof_3 0.036886 s: category_theory.limits.cocones.functoriality._proof_4 0.071606 s: category_theory.limits.cocones.functoriality._proof_5 0.135237 s: category_theory.limits.cocones.functoriality._proof_6 0.040248 s: category_theory.limits.cocones.functoriality 0.000543 s: category_theory.functor.map_cocone 0.002037 s: category_theory.limits.preserves_colimit 0.004332 s: category_theory.limits.preserves_colimit.preserves 0.001063 s: category_theory.limits.preserves_colimits_of_shape 0.001624 s: category_theory.limits.preserves_colimits_of_shape.preserves_colimit 0.000843 s: category_theory.limits.preserves_colimits 0.000311 s: category_theory.limits.preserves_colimits.preserves_colimits_of_shape 0.001828 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism._proof_1 0.005277 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism._proof_2 0.003392 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism._proof_3 0.004961 s: category_theory.limits.is_colimit.cases_on 0.007745 s: category_theory.limits.is_colimit.subsingleton 0.014715 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism._proof_4 0.000140 s: unique.cases_on 0.000080 s: inhabited.cases_on 0.003329 s: unique.subsingleton_unique' 0.000049 s: unique.subsingleton_unique 0.017401 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism._proof_5 0.006522 s: category_theory.limits.is_colimit.iso_unique_cocone_morphism 0.000308 s: function.surjective.unique._match_1 0.000129 s: function.surjective.unique._proof_1 0.000079 s: function.surjective.unique 0.000194 s: equiv.unique._proof_1 0.000180 s: equiv.unique 0.003429 s: category_theory.functor.right_unitor._proof_1 0.003618 s: category_theory.functor.right_unitor._proof_2 0.027571 s: category_theory.functor.right_unitor._proof_3 0.029022 s: category_theory.functor.right_unitor._proof_4 0.007411 s: category_theory.functor.right_unitor 0.001740 s: category_theory.adjunction.functoriality_right_adjoint 0.023394 s: category_theory.adjunction.functoriality_unit._proof_1 0.095038 s: category_theory.adjunction.functoriality_unit._proof_2 0.021853 s: category_theory.adjunction.functoriality_unit 0.033347 s: category_theory.adjunction.functoriality_counit._proof_1 0.167026 s: category_theory.adjunction.functoriality_counit._proof_2 0.023972 s: category_theory.adjunction.functoriality_counit 0.299664 s: category_theory.adjunction.functoriality_is_left_adjoint._proof_1 0.109396 s: category_theory.adjunction.functoriality_is_left_adjoint._proof_2 0.015003 s: category_theory.adjunction.functoriality_is_left_adjoint 0.005070 s: category_theory.adjunction.left_adjoint_preserves_colimits 0.000322 s: category_theory.adjunction.is_equivalence_preserves_colimits 0.001847 s: category_theory.adjunction.has_colimit_comp_equivalence 0.001334 s: category_theory.adjunction.has_colimit_comp_equivalence.equations._eqn_1 0.000388 s: set.mem_of_mem_insert_of_ne 0.000420 s: connected_component_setoid._proof_1 0.000312 s: connected_component_setoid 0.000036 s: connected_components 0.000098 s: connected_components.topological_space 0.000119 s: totally_disconnected_space.is_totally_disconnected_univ 0.000258 s: set.subsingleton_empty 0.000275 s: set.subsingleton.mono 0.001152 s: totally_disconnected_space_iff_connected_component_subsingleton 0.000189 s: set.subsingleton_singleton 0.000176 s: set.subsingleton_iff_singleton 0.000474 s: totally_disconnected_space_iff_connected_component_singleton 0.000416 s: connected_component_rel_iff 0.000141 s: is_connected.subset_connected_component 0.000171 s: connected_component_eq 0.000242 s: function.surjective.of_comp 0.000121 s: closure_eq_iff_is_closed 0.000047 s: is_connected.nonempty 0.002436 s: is_preconnected.closure 0.000152 s: is_connected.closure 0.000243 s: is_closed_connected_component 0.001739 s: set.preimage_subset_preimage_iff 0.000523 s: function.surjective.preimage_subset_preimage_iff 0.008948 s: preimage_connected_component_connected 0.002921 s: connected_components_preimage_singleton 0.000066 s: quot.topological_space 0.000315 s: quotient_map_quot_mk 0.000263 s: quotient_map_quotient_mk 0.002487 s: connected_components.totally_disconnected_space 0.002556 s: connected_components.totally_disconnected_space.equations._eqn_1 0.000926 s: add_localization.r 0.000297 s: add_localization 0.000238 s: add_monoid_hom.mrange._proof_1 0.001155 s: add_monoid_hom.mrange 0.000202 s: multiples_hom._proof_1 0.006236 s: multiples_hom._proof_2 0.003429 s: multiples_hom 0.000572 s: multiples_hom_apply 0.001669 s: add_submonoid.multiples._proof_1 0.000229 s: add_submonoid.multiples 0.000050 s: add_localization.away 0.000548 s: add_localization.away.equations._eqn_1 0.001138 s: category_theory.limits.complete_lattice.limit_cone._proof_1 0.008997 s: category_theory.limits.complete_lattice.limit_cone._proof_2 0.004894 s: category_theory.limits.complete_lattice.limit_cone._proof_3 0.017077 s: category_theory.limits.complete_lattice.limit_cone._proof_4 0.017188 s: category_theory.limits.complete_lattice.limit_cone._proof_5 0.013030 s: category_theory.limits.complete_lattice.limit_cone 0.000378 s: category_theory.limits.complete_lattice.has_limits_of_complete_lattice 0.000272 s: category_theory.limits.complete_lattice.limit_iso_infi._proof_1 0.012825 s: linear_map.to_matrix._proof_1 0.011806 s: linear_map.to_matrix._proof_2 0.008519 s: linear_equiv.arrow_congr._proof_2 0.087847 s: linear_map.to_matrix._proof_3 0.017858 s: linear_equiv.arrow_congr._proof_1 0.010418 s: linear_equiv.arrow_congr._proof_3 0.010038 s: linear_equiv.arrow_congr._proof_4 0.014386 s: linear_equiv.arrow_congr._proof_5 0.030890 s: linear_equiv.arrow_congr._proof_6 0.020185 s: linear_equiv.arrow_congr._proof_7 0.016429 s: linear_equiv.arrow_congr._proof_8 0.013506 s: linear_equiv.arrow_congr 0.000242 s: linear_map.to_matrix'._proof_1 0.000180 s: linear_map.to_matrix'._proof_2 0.083188 s: linear_map.to_matrix'._proof_3 0.090506 s: linear_map.to_matrix'._proof_4 0.000204 s: matrix.mul_vec._main 0.000106 s: matrix.mul_vec 0.017341 s: matrix.mul_vec_lin._proof_1 0.004869 s: matrix.dot_product_smul 0.024841 s: matrix.mul_vec_lin._proof_2 0.015627 s: matrix.mul_vec_lin 0.003227 s: is_basis.comp 0.052699 s: pi.is_basis_fun₀ 0.000190 s: function.right_inverse_of_injective_of_left_inverse 0.000317 s: function.left_inverse_surj_inv 0.006361 s: function.bijective_iff_has_inverse 0.000093 s: function.left_inverse.equations._eqn_1 0.000123 s: function.right_inverse.equations._eqn_1 0.000228 s: sigma.forall 0.083351 s: pi.is_basis_fun 0.023851 s: matrix.mul_vec_lin_apply 0.059625 s: matrix.mul_vec_std_basis 0.280311 s: linear_map.to_matrix'._proof_5 0.045985 s: linear_map.to_matrix'._proof_6 0.109067 s: linear_map.to_matrix' 0.104557 s: linear_map.to_matrix 0.105004 s: linear_map.to_matrix.equations._eqn_1 0.121772 s: linear_map.to_matrix'.equations._eqn_1 0.016745 s: linear_equiv.coe_mk 0.133010 s: linear_map.to_matrix'_apply 0.025886 s: linear_equiv.arrow_congr_apply 0.028163 s: is_basis.equiv_fun_symm_apply 0.114622 s: linear_map.to_matrix_apply 0.032288 s: is_basis.equiv_fun.equations._eqn_1 0.007792 s: linear_equiv.symm_apply_eq 0.003856 s: linear_equiv.of_bijective_apply 0.001767 s: linear_equiv.of_top_apply 0.058904 s: module_equiv_finsupp_apply_basis 0.046838 s: linear_map.to_matrix_id 0.017069 s: linear_map.to_matrix_one 0.053095 s: algebra.left_mul_matrix._proof_2 0.000034 s: lex 0.000179 s: lex_has_le 0.000530 s: lex_preorder._match_1 0.000131 s: multiplicative.right_cancel_monoid._proof_1 0.011640 s: category_theory.half_braiding.monoidal_assoc 0.001240 s: category_theory.half_braiding.naturality_assoc 0.017927 s: category_theory.center.braiding._proof_1 0.004150 s: category_theory.center.braiding._proof_2 0.003221 s: category_theory.center.braiding 0.008252 s: category_theory.center.braiding_inv_f 0.000186 s: equiv.empty_arrow_equiv_punit._proof_1 0.000083 s: equiv.empty_arrow_equiv_punit._proof_2 0.000163 s: equiv.empty_arrow_equiv_punit 0.000344 s: asymptotics.is_equivalent 0.000441 s: asymptotics.is_equivalent.equations._eqn_1 0.003875 s: asymptotics.is_equivalent.add_is_o 0.000064 s: std_gen.no_confusion_type 0.000167 s: std_gen.no_confusion 0.000109 s: std_gen.mk.inj 0.000121 s: contracting_with 0.000020 s: function.is_fixed_pt 0.000044 s: function.is_fixed_pt.eq 0.002694 s: ennreal.coe_lt_one_iff 0.000385 s: contracting_with.one_sub_K_pos' 0.000142 s: contracting_with.one_sub_K_ne_zero 0.009845 s: contracting_with.one_sub_K_ne_top 0.000214 s: ennreal.mul_right_mono 0.032052 s: ennreal.sub_zero 0.011923 s: nnreal.add_sub_cancel 0.006995 s: ennreal.add_sub_self 0.004664 s: ennreal.sub_eq_of_add_eq 0.036212 s: ennreal.sub_mul 0.026224 s: edist_triangle4 0.032406 s: contracting_with.edist_inequality 0.009611 s: contracting_with.edist_le_of_fixed_point 0.008764 s: contracting_with.eq_or_edist_eq_top_of_fixed_points 0.000157 s: category_theory.monoidal_of_chosen_finite_products.monoidal_of_chosen_finite_products_synonym 0.000162 s: category_theory.monoidal_of_chosen_finite_products.monoidal_of_chosen_finite_products_synonym.category 0.001851 s: category_theory.limits.binary_fan.swap 0.002254 s: category_theory.limits.binary_fan.swap_fst 0.001906 s: category_theory.limits.binary_fan.swap_snd 0.008135 s: category_theory.limits.is_limit.swap_binary_fan._proof_1 0.000047 s: category_theory.limits.walking_pair.rec_on 0.000180 s: category_theory.limits.walking_pair.swap._proof_1 0.000109 s: category_theory.limits.walking_pair.swap._proof_2 0.000170 s: category_theory.limits.walking_pair.swap 0.007965 s: category_theory.limits.is_limit.swap_binary_fan._proof_2 0.002184 s: category_theory.limits.is_limit.swap_binary_fan 0.000814 s: category_theory.limits.binary_fan.braiding 0.020792 s: category_theory.monoidal_of_chosen_finite_products.braiding_naturality 0.003322 s: category_theory.symmetric_of_chosen_finite_products._proof_1 0.000508 s: lie_submodule.has_top._proof_1 0.000356 s: lie_submodule.has_top._proof_2 0.000780 s: lie_submodule.has_top._proof_3 0.000535 s: lie_submodule.has_top._proof_4 0.001715 s: lie_submodule.has_top 0.000403 s: hahn_series.comm_semiring._proof_1 0.000224 s: hahn_series.comm_semiring._proof_2 0.000315 s: hahn_series.comm_semiring._proof_3 0.000539 s: hahn_series.comm_semiring._proof_4 0.000444 s: hahn_series.comm_semiring._proof_5 0.000299 s: hahn_series.comm_semiring._proof_6 0.000212 s: hahn_series.comm_semiring._proof_7 0.000182 s: hahn_series.comm_semiring._proof_8 0.000191 s: hahn_series.comm_semiring._proof_9 0.000354 s: hahn_series.comm_semiring._proof_10 0.000344 s: hahn_series.comm_semiring._proof_11 0.000193 s: hahn_series.comm_semiring._proof_12 0.000173 s: hahn_series.comm_semiring._proof_13 0.000224 s: hahn_series.comm_semiring._proof_14 0.000248 s: hahn_series.comm_semiring._proof_15 0.009204 s: hahn_series.comm_semiring._proof_16 0.003228 s: hahn_series.comm_semiring 0.000441 s: hahn_series.comm_ring._proof_15 0.000100 s: ordnode.insert._match_1 0.000114 s: cmp_le 0.000821 s: ordnode.insert._main 0.001550 s: ordnode.insert._main.equations._eqn_2 0.010544 s: category_theory.lax_monoidal_functor 0.002391 s: category_theory.lax_monoidal_functor.to_functor 0.004329 s: category_theory.lax_monoidal_functor.ε 0.004166 s: category_theory.lax_monoidal_functor.μ 0.002661 s: category_theory.monoidal_functor 0.000869 s: category_theory.monoidal_functor.to_lax_monoidal_functor 0.001219 s: category_theory.monoidal_functor.ε_is_iso 0.001237 s: category_theory.monoidal_functor.μ_is_iso 0.000520 s: category_theory.monoidal_adjoint._proof_1 0.000821 s: category_theory.is_iso.eq_inv_comp 0.004530 s: category_theory.lax_monoidal_functor.μ_natural 0.002497 s: category_theory.lax_monoidal_functor.μ_natural_assoc 0.012671 s: category_theory.monoidal_adjoint._proof_2 0.005934 s: category_theory.lax_monoidal_functor.associativity 0.002817 s: category_theory.lax_monoidal_functor.associativity_assoc 0.001615 s: category_theory.monoidal_category.tensor_comp_assoc 0.046651 s: category_theory.monoidal_adjoint._proof_3 0.007430 s: category_theory.lax_monoidal_functor.left_unitality 0.005588 s: category_theory.monoidal_functor.map_left_unitor 0.002301 s: category_theory.monoidal_functor.map_tensor 0.023887 s: category_theory.monoidal_adjoint._proof_4 0.008257 s: category_theory.lax_monoidal_functor.right_unitality 0.006118 s: category_theory.monoidal_functor.map_right_unitor 0.021750 s: category_theory.monoidal_adjoint._proof_5 0.009173 s: category_theory.monoidal_adjoint 0.001159 s: category_theory.functor.map_is_iso 0.007570 s: category_theory.monoidal_inverse._proof_1 0.000621 s: pgame.list_short 0.000168 s: pgame.list_short.cases_on 0.016252 s: pgame.list_short_nth_le._main 0.000063 s: pgame.list_short_nth_le._main._proof_1 0.000631 s: pgame.list_short_nth_le._main._proof_2 0.000886 s: pgame.list_short_nth_le._main.equations._eqn_1 0.000610 s: slim_check.test_result 0.000188 s: slim_check.test_result.cases_on 0.000290 s: slim_check.give_up._main 0.000032 s: slim_check.give_up 0.000256 s: slim_check.give_up._main.equations._eqn_1 0.000087 s: slim_check.give_up.equations._eqn_1 0.004518 s: multiset.prod_map_mul 0.002031 s: multiset.prod_map_prod_map 0.007656 s: multiset.sum_map_sum_map 0.003040 s: lipschitz_with.comp 0.000370 s: equiv.group._proof_4 0.000427 s: strict_mono_mul_left_of_pos 0.000139 s: module.dual 0.000159 s: module.dual.add_comm_monoid 0.003646 s: algebra.linear_map.semimodule'._proof_1 0.003476 s: algebra.linear_map.semimodule'._proof_2 0.003857 s: algebra.linear_map.semimodule'._proof_3 0.003594 s: algebra.linear_map.semimodule'._proof_4 0.004481 s: algebra.linear_map.semimodule'._proof_5 0.012733 s: algebra.linear_map.semimodule'._proof_6 0.013911 s: algebra.linear_map.semimodule'._proof_7 0.008001 s: algebra.linear_map.semimodule'._proof_8 0.005671 s: algebra.linear_map.semimodule'._proof_9 0.040031 s: algebra.linear_map.semimodule'._proof_10 0.045564 s: algebra.linear_map.semimodule'._proof_11 0.026340 s: algebra.linear_map.semimodule' 0.023321 s: module.dual.semimodule 0.000192 s: module.dual.eval._proof_1 0.209976 s: module.dual.eval 0.000301 s: module.dual.equations._eqn_1 0.021826 s: module.dual.add_comm_group._proof_1 0.019654 s: module.dual.add_comm_group 0.126364 s: is_basis.to_dual 0.000376 s: module.dual.has_coe_to_fun 0.125748 s: is_basis.to_dual_apply 0.222941 s: module.dual.eval_apply 0.063346 s: vector_space.eval_ker 0.016323 s: diffeomorph 0.003137 s: diffeomorph.cases_on 0.002018 s: tangent_space.has_continuous_smul 0.002339 s: tangent_space.has_continuous_smul.equations._eqn_1 0.000280 s: is_left_id 0.000132 s: is_left_id.left_id 0.000489 s: option.lift_or_get_is_left_id 0.000117 s: with_zero.add_zero_class._proof_1 0.000211 s: is_right_id 0.000105 s: is_right_id.right_id 0.000645 s: option.lift_or_get_is_right_id 0.000139 s: with_zero.add_zero_class._proof_2 0.000495 s: with_zero.add_zero_class 0.000183 s: with_zero.add_monoid._proof_1 0.000124 s: with_zero.add_monoid._proof_2 0.000073 s: with_zero.add_monoid._proof_3 0.000061 s: with_zero.add_monoid._proof_4 0.000058 s: with_zero.add_monoid._proof_5 0.000199 s: with_zero.add_monoid._proof_6 0.000193 s: with_zero.add_monoid._proof_7 0.002418 s: with_zero.add_monoid 0.000561 s: with_zero.add_comm_monoid._proof_5 0.004237 s: Mon_ 0.001774 s: Mon_.rec_on 0.000062 s: real.cosh 0.000031 s: real.sinh 0.047069 s: complex.has_strict_deriv_at_cosh 0.032242 s: complex.has_deriv_at_cosh 0.069573 s: real.has_deriv_at_cosh 0.068766 s: has_deriv_within_at.cosh 0.013862 s: multiset.semilattice_sup_bot.equations._eqn_1 0.000863 s: measure_theory.has_no_atoms 0.000798 s: filter.eventually_eq.inter 0.001587 s: set.Iic_diff_right 0.000150 s: filter.eventually_eq.equations._eqn_1 0.001372 s: filter.eventually_le_antisymm_iff 0.003250 s: set.diff_eq_empty 0.001861 s: sdiff_sdiff_right' 0.002922 s: set.diff_diff_right 0.001220 s: set.diff_self 0.007650 s: measure_theory.diff_ae_eq_self 0.000300 s: measure_theory.has_no_atoms.measure_singleton 0.001395 s: measure_theory.Iio_ae_eq_Iic 0.001364 s: measure_theory.Ioi_ae_eq_Ici 0.001057 s: measure_theory.Ioc_ae_eq_Icc 0.003409 s: linear_equiv.pi._proof_1 0.001403 s: category_theory.limits.coprod.desc_comp_assoc 0.000154 s: category_theory.zero_mul._proof_2 0.002667 s: filter.at_top_basis' 0.079238 s: tendsto_inv_zero_at_top 0.013896 s: tendsto_norm_zero' 0.022923 s: normed_field.tendsto_norm_inverse_nhds_within_0_at_top 0.000061 s: nat.topological_space 0.000035 s: nat.topological_space.equations._eqn_1 0.002962 s: set.preimage_eq_preimage 0.000322 s: computation.bind.G._main 0.000111 s: computation.bind.G 0.000323 s: computation.bind.F._match_1 0.001715 s: computation.bind.F._main 0.000109 s: computation.bind.F 0.000095 s: computation.bind 0.000064 s: stream.const 0.000065 s: computation.return._proof_1 0.000593 s: computation.return 0.000199 s: computation.bisim_o._main 0.000052 s: computation.bisim_o 0.000065 s: computation.is_bisimulation 0.000093 s: stream.is_bisimulation 0.000115 s: stream.ext 0.003910 s: stream.nth_of_bisim 0.000206 s: stream.eq_of_bisim 0.000154 s: computation.head 0.002916 s: computation.destruct_eq_ret 0.000207 s: computation.cases_on._proof_1 0.000637 s: computation.cases_on._proof_2 0.000096 s: computation.cases_on._proof_3 0.001213 s: computation.cases_on 0.001453 s: computation.destruct_think 0.000126 s: computation.destruct_ret 0.000189 s: computation.head_think 0.000893 s: computation.tail_think 0.000262 s: computation.bisim_o._main.equations._eqn_4 0.000171 s: computation.bisim_o.equations._eqn_4 0.005796 s: computation.eq_of_bisim 0.000309 s: computation.bind.equations._eqn_1 0.000398 s: computation.bind.F._main.equations._eqn_1 0.000180 s: computation.bind.F.equations._eqn_1 0.000469 s: computation.bind.F._match_1.equations._eqn_1 0.000123 s: computation.bind.G._main.equations._eqn_1 0.000087 s: computation.bind.G.equations._eqn_1 0.000147 s: computation.rmap._main.equations._eqn_1 0.000212 s: computation.rmap.equations._eqn_1 0.000124 s: computation.bisim_o._main.equations._eqn_1 0.000073 s: computation.bisim_o.equations._eqn_1 0.000190 s: computation.bind.G._main.equations._eqn_2 0.000199 s: computation.bind.G.equations._eqn_2 0.000391 s: computation.bind.F._main.equations._eqn_2 0.000124 s: computation.bind.F.equations._eqn_2 0.005683 s: computation.ret_bind 0.000067 s: metric.sphere 0.000860 s: stereo_inv_fun_aux 0.000504 s: stereo_inv_fun_aux_apply 0.000322 s: metric.mem_sphere 0.000558 s: mem_sphere_iff_norm 0.000533 s: mem_sphere_zero_iff_norm 0.001154 s: norm_add_pow_two_real 0.001289 s: is_R_or_C.conj_to_real 0.001509 s: submodule.inner_left_of_mem_orthogonal 0.000911 s: inner_left_of_mem_orthogonal_singleton 0.001141 s: tactic.ring.pow_succ 1.337560 s: stereo_inv_fun_aux_mem 0.006345 s: stereo_inv_fun._proof_1 0.003927 s: stereo_inv_fun 0.000374 s: subtype.ne_of_val_ne 0.013815 s: is_R_or_C.norm_sq_conj 0.001249 s: is_R_or_C.abs_conj 0.000956 s: inner_abs_conj_sym 0.001449 s: is_R_or_C.abs_zero 0.003450 s: is_R_or_C.of_real_neg 0.003311 s: is_R_or_C.I_mul_re 0.010033 s: is_R_or_C.add_conj 0.047494 s: is_R_or_C.of_real_hom 0.023682 s: is_R_or_C.of_real_nat_cast 0.039907 s: is_R_or_C.char_zero_R_or_C 0.037768 s: is_R_or_C.re_eq_add_conj 0.049652 s: is_R_or_C.conj_I_ax 0.000245 s: is_R_or_C.conj_I 0.015592 s: neg_div' 0.062908 s: is_R_or_C.im_eq_conj_sub 0.034937 s: inner_self_nonneg_im 0.002804 s: mul_le_mul_right 0.002032 s: inner_im_symm 0.041849 s: is_R_or_C.inv_def_ax 0.001619 s: is_R_or_C.inv_def 0.004979 s: is_R_or_C.sqrt_norm_sq_eq_norm 0.002914 s: is_R_or_C.norm_conj 0.006001 s: is_R_or_C.conj_inv 0.019572 s: is_R_or_C.conj_div 0.002747 s: div_mul_eq_div_mul_one_div 0.002764 s: div_mul_eq_mul_div_comm 0.001593 s: inner_self_re_to_K 0.017810 s: is_R_or_C.inv_re 0.015856 s: is_R_or_C.inv_im 0.107297 s: is_R_or_C.of_real_inv 0.188919 s: is_R_or_C.div_re_of_real 0.052507 s: is_R_or_C.norm_sq_nonneg 0.004470 s: is_R_or_C.norm_sq_eq_abs 0.000273 s: is_R_or_C.abs_nonneg 0.003987 s: is_R_or_C.abs_abs 0.004684 s: is_R_or_C.re_eq_abs_of_mul_conj 0.003391 s: inner_mul_conj_re_abs 0.002755 s: is_R_or_C.norm_sq_mul 0.001000 s: is_R_or_C.abs_mul 0.181697 s: inner_mul_inner_self_le 0.071957 s: abs_inner_le_norm 0.007128 s: abs_real_inner_le_norm 0.006504 s: real_inner_le_norm 0.000913 s: zero_eq_mul_self 0.004493 s: linarith.eq_of_not_lt_of_not_gt 0.000675 s: is_R_or_C.mul_self_abs 0.015837 s: is_R_or_C.re_sq_le_norm_sq 0.153796 s: is_R_or_C.abs_re_le_abs 0.017798 s: is_R_or_C.re_le_abs 0.083244 s: is_R_or_C.im_eq_zero_of_le 0.020325 s: is_R_or_C.re_eq_self_of_le 0.004056 s: abs_norm_eq_norm 0.000128 s: eq.congr 0.001360 s: norm_sub_eq_zero_iff 0.068716 s: inner_eq_norm_mul_iff 0.016846 s: inner_eq_norm_mul_iff_real 0.002888 s: inner_lt_norm_mul_iff_real 0.122418 s: inner_lt_one_iff_real_of_norm_one 0.078576 s: stereo_inv_fun_apply 0.009818 s: submodule.norm_coe 0.001527 s: real_inner_comm 0.002884 s: inner_right_of_mem_orthogonal_singleton 0.002489 s: real_inner_self_eq_norm_square 0.030457 s: inv_mul_lt_iff 0.008038 s: inv_mul_lt_iff' 0.525274 s: stereo_inv_fun_ne_north_pole 0.006259 s: stereographic._proof_3 0.000179 s: num 0.000061 s: num.cases_on 0.000038 s: num.has_zero 0.000061 s: num.bit0._main 0.000009 s: num.bit0 0.000021 s: pos_num.has_one 0.000016 s: num.has_one 0.005083 s: num.bit1._main 0.000026 s: num.bit1 0.000117 s: pos_num.divmod_aux._match_1 0.000135 s: pos_num.divmod_aux._match_1.equations._eqn_1 0.000291 s: znum 0.000018 s: znum.has_zero 0.000032 s: znum.inhabited 0.000024 s: znum.inhabited.equations._eqn_1 0.000070 s: prime_spectrum 0.000714 s: topological_space.of_closed._proof_1 0.000525 s: topological_space.of_closed._proof_2 0.005159 s: topological_space.of_closed._match_1 0.003008 s: topological_space.of_closed._proof_3 0.000718 s: topological_space.of_closed 0.000142 s: prime_spectrum.as_ideal 0.000368 s: prime_spectrum.zero_locus 0.000172 s: ideal.is_prime.ne_top 0.000167 s: prime_spectrum.is_prime 0.000330 s: prime_spectrum.mem_zero_locus 0.009260 s: prime_spectrum.zero_locus_empty_of_one_mem 0.000165 s: prime_spectrum.zero_locus_univ 0.001460 s: prime_spectrum.zariski_topology._proof_1 0.003647 s: set.sInter_eq_Inter 0.000447 s: prime_spectrum.vanishing_ideal 0.021170 s: prime_spectrum.zero_locus_span 0.002563 s: galois_connection.compose 0.000387 s: prime_spectrum.vanishing_ideal.equations._eqn_1 0.002851 s: prime_spectrum.coe_vanishing_ideal 0.001262 s: prime_spectrum.mem_vanishing_ideal 0.002518 s: prime_spectrum.subset_zero_locus_iff_le_vanishing_ideal 0.001386 s: prime_spectrum.gc 0.017124 s: prime_spectrum.gc_set 0.034654 s: prime_spectrum.zero_locus_Union 0.009410 s: prime_spectrum.zariski_topology._proof_2 0.011106 s: ideal.has_mul 0.016502 s: submodule.smul_mem_smul 0.032790 s: ideal.mul_mem_mul 0.027856 s: submodule.smul_le 0.034267 s: ideal.mul_le 0.011004 s: ideal.mul_le_inf 0.014427 s: ideal.is_prime.mul_le 0.013258 s: ideal.is_prime.inf_le 0.002580 s: prime_spectrum.zero_locus_inf 0.001063 s: prime_spectrum.union_zero_locus 0.000944 s: prime_spectrum.zariski_topology._proof_3 0.000256 s: prime_spectrum.zariski_topology 0.000052 s: algebraic_geometry.Spec.Top 0.000124 s: topological_space.opens.has_mem 0.000127 s: Top.presheaf.sheaf_condition._proof_1 0.000065 s: Top.presheaf.sheaf_condition._proof_2 0.000071 s: Top.presheaf.sheaf_condition._proof_3 0.000081 s: Top.presheaf.sheaf_condition._proof_4 0.000064 s: Top.presheaf.sheaf_condition._proof_5 0.000903 s: Top.presheaf.sheaf_condition 0.000816 s: Top.sheaf 0.000126 s: Top.sheaf.presheaf 0.002720 s: category_theory.liftable_cone 0.002670 s: category_theory.creates_limit 0.001109 s: category_theory.liftable_cone.lifted_cone 0.000667 s: category_theory.creates_limit.lifts 0.000506 s: category_theory.lift_limit 0.000630 s: category_theory.creates_limit.to_reflects_limit 0.001138 s: category_theory.liftable_cone.valid_lift 0.000851 s: category_theory.lifted_limit_maps_to_original 0.001067 s: category_theory.lifted_limit_is_limit 0.000996 s: category_theory.has_limit_of_created 0.000032 s: Ring 0.000362 s: Ring.large_category 0.000171 s: Ring.concrete_category 0.000421 s: CommRing.has_forget_to_Ring 0.000017 s: SemiRing 0.000046 s: SemiRing.large_category 0.000044 s: SemiRing.concrete_category 0.000237 s: Ring.has_forget_to_SemiRing 0.000088 s: SemiRing.of 0.000045 s: SemiRing.has_coe_to_sort 0.000468 s: SemiRing.semiring 0.000273 s: category_theory.bundled.map 0.000429 s: category_theory.bundled_hom.mk_has_forget₂._proof_1 0.006264 s: category_theory.bundled_hom.mk_has_forget₂._proof_2 0.003841 s: category_theory.bundled_hom.mk_has_forget₂ 0.015690 s: SemiRing.has_forget_to_Mon._proof_1 0.013594 s: SemiRing.has_forget_to_Mon 0.001422 s: SemiRing.sections_subsemiring._proof_1 0.000784 s: SemiRing.sections_subsemiring._proof_2 0.000020 s: AddMon 0.000036 s: AddMon.has_coe_to_sort 0.000052 s: AddMon.assoc_add_monoid_hom 0.000321 s: AddMon.bundled_hom._proof_1 0.000102 s: AddMon.bundled_hom._proof_2 0.000273 s: AddMon.bundled_hom._proof_3 0.001528 s: AddMon.bundled_hom 0.000079 s: AddMon.large_category 0.000054 s: AddCommMon 0.000100 s: AddCommMon.comm_monoid.to_monoid.category_theory.bundled_hom.parent_projection 0.000143 s: AddCommMon.large_category 0.000138 s: AddCommMon.concrete_category 0.000035 s: AddCommMon.of 0.001286 s: SemiRing.has_forget_to_AddCommMon._proof_1 0.001297 s: SemiRing.has_forget_to_AddCommMon._proof_2 0.023357 s: SemiRing.has_forget_to_AddCommMon._proof_3 0.033474 s: SemiRing.has_forget_to_AddCommMon 0.000143 s: AddMon.concrete_category 0.000393 s: AddCommMon.has_forget_to_AddMon 0.000155 s: AddMon.add_monoid 0.011124 s: AddMon.sections_add_submonoid._proof_1 0.015445 s: AddMon.sections_add_submonoid._proof_2 0.001732 s: AddMon.sections_add_submonoid 0.002083 s: SemiRing.sections_subsemiring._proof_3 0.001032 s: SemiRing.sections_subsemiring._proof_4 0.128791 s: SemiRing.sections_subsemiring 0.002559 s: SemiRing.limit_semiring 0.000775 s: SemiRing.semiring_obj 0.011107 s: SemiRing.limit_π_ring_hom._proof_1 0.001535 s: SemiRing.limit_π_ring_hom._proof_2 0.000346 s: add_submonoid.to_add_monoid._proof_1 0.000566 s: add_submonoid.to_add_monoid._proof_2 0.000487 s: add_submonoid.to_add_monoid._proof_3 0.007126 s: add_submonoid.to_add_monoid 0.004338 s: AddMon.limit_add_monoid 0.000988 s: AddMon.add_monoid_obj 0.002464 s: AddMon.limit_π_add_monoid_hom._proof_1 0.001594 s: AddMon.limit_π_add_monoid_hom._proof_2 0.017036 s: AddMon.limit_π_add_monoid_hom 0.001900 s: SemiRing.limit_π_ring_hom._proof_3 0.001921 s: SemiRing.limit_π_ring_hom._proof_4 5.218902 s: SemiRing.limit_π_ring_hom 0.016857 s: SemiRing.has_limits.limit_cone._proof_1 0.002420 s: SemiRing.has_limits.limit_cone 0.011628 s: category_theory.limits.is_limit.of_faithful._proof_1 0.024355 s: category_theory.limits.is_limit.of_faithful._proof_2 0.005220 s: category_theory.limits.is_limit.of_faithful 0.000180 s: SemiRing.has_limits.limit_cone_is_limit._proof_1 0.002961 s: SemiRing.has_limits.limit_cone_is_limit._proof_2 0.029280 s: SemiRing.has_limits.limit_cone_is_limit._proof_3 0.050218 s: SemiRing.has_limits.limit_cone_is_limit._proof_4 0.038218 s: SemiRing.has_limits.limit_cone_is_limit._proof_5 0.051137 s: SemiRing.has_limits.limit_cone_is_limit._proof_6 0.230336 s: SemiRing.has_limits.limit_cone_is_limit._proof_7 0.021770 s: SemiRing.has_limits.limit_cone_is_limit 0.000429 s: SemiRing.has_limits 0.003440 s: category_theory.lifts_to_limit 0.002375 s: category_theory.lifts_to_limit.to_liftable_cone 0.001452 s: category_theory.lifts_to_limit.makes_limit 0.001016 s: category_theory.reflects_isomorphisms.reflects 0.000436 s: category_theory.is_iso_of_reflects_iso 0.013395 s: category_theory.limits.cones.cone_iso_of_hom_iso 0.004125 s: category_theory.limits.cones.reflects_cone_isomorphism 0.005142 s: category_theory.creates_limit_of_reflects_iso._proof_1 0.003257 s: category_theory.creates_limit_of_reflects_iso 0.002853 s: category_theory.of_full_and_faithful 0.002909 s: category_theory.bundled_hom.forget₂_full._proof_1 0.001988 s: category_theory.bundled_hom.forget₂_full 0.000602 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000027 s: Ring.of 0.000033 s: Ring.has_coe_to_sort 0.000163 s: Ring.ring 0.000748 s: Ring.sections_subring._proof_1 0.000736 s: Ring.sections_subring._proof_2 0.000045 s: AddGroup 0.000095 s: AddGroup.has_coe_to_sort 0.000042 s: add_group.to_add_monoid 0.000050 s: AddGroup.group.to_monoid.category_theory.bundled_hom.parent_projection 0.000156 s: AddGroup.large_category 0.000016 s: AddCommGroup 0.000037 s: AddCommGroup.comm_group.to_group.category_theory.bundled_hom.parent_projection 0.000214 s: AddCommGroup.large_category 0.000188 s: AddCommGroup.concrete_category 0.000031 s: AddCommGroup.of 0.025655 s: Ring.has_forget_to_AddCommGroup._proof_1 0.041819 s: Ring.has_forget_to_AddCommGroup._proof_2 0.082113 s: Ring.has_forget_to_AddCommGroup._proof_3 0.070472 s: Ring.has_forget_to_AddCommGroup 0.000294 s: AddGroup.concrete_category 0.000471 s: AddCommGroup.has_forget_to_AddGroup 0.000133 s: AddGroup.add_group 0.000302 s: AddGroup.has_forget_to_AddMon 0.007975 s: AddGroup.sections_add_subgroup._proof_1 0.002459 s: AddGroup.sections_add_subgroup._proof_2 0.000784 s: AddGroup.add_group_obj 0.012941 s: AddGroup.sections_add_subgroup._proof_3 0.067260 s: AddGroup.sections_add_subgroup 0.005940 s: Ring.sections_subring._proof_3 0.002636 s: Ring.sections_subring._proof_4 0.002402 s: Ring.sections_subring._proof_5 1.036245 s: Ring.sections_subring 0.002721 s: Ring.limit_ring 0.005261 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_2 0.005029 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_3 0.009363 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_4 0.013746 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_5 0.007633 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_6 0.020712 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_7 1.531629 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_8 0.813864 s: Ring.category_theory.forget₂.category_theory.creates_limit 0.000913 s: Ring.has_limits 0.000742 s: CommRing.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000072 s: CommRing.has_coe_to_sort 0.000185 s: CommRing.comm_ring 0.821502 s: CommRing.limit_comm_ring 0.003612 s: CommRing.category_theory.forget₂.category_theory.creates_limit._proof_2 0.000360 s: Ring.limit_cone._proof_1 0.000260 s: Ring.limit_cone._proof_2 0.000601 s: Ring.limit_cone 0.000694 s: Ring.limit_cone_is_limit 6.351864 s: CommRing.category_theory.forget₂.category_theory.creates_limit._proof_3 3.393087 s: CommRing.category_theory.forget₂.category_theory.creates_limit 0.000651 s: CommRing.has_limits 0.000065 s: algebraic_geometry.structure_sheaf._proof_1 0.000053 s: algebraic_geometry.structure_sheaf._proof_2 0.000054 s: algebraic_geometry.structure_sheaf_in_Type._proof_1 0.004411 s: topological_space.opens.opens_hom_has_coe_to_fun._proof_1 0.003783 s: topological_space.opens.opens_hom_has_coe_to_fun 0.011985 s: Top.prelocal_predicate 0.003397 s: Top.prelocal_predicate.pred 0.032897 s: Top.local_predicate 0.000111 s: Top.subsheaf_to_Types._proof_1 0.000046 s: Top.subsheaf_to_Types._proof_2 0.013727 s: Top.prelocal_predicate.res 0.002463 s: Top.subpresheaf_to_Types._proof_1 0.023625 s: Top.subpresheaf_to_Types._proof_2 0.011691 s: Top.subpresheaf_to_Types._proof_3 0.009038 s: Top.subpresheaf_to_Types 0.001989 s: Top.local_predicate.to_prelocal_predicate 0.000110 s: Top.presheaf.sheaf_condition_of_exists_unique_gluing._proof_1 0.001615 s: Top.presheaf.is_compatible 0.000955 s: Top.presheaf.is_gluing 0.000333 s: Top.presheaf.gluing 0.000242 s: Top.presheaf.sheaf_condition_unique_gluing 0.000098 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_1 0.000134 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_2 0.000114 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_3 0.000069 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_4 0.000071 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_5 0.000050 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_6 0.000036 s: Top.presheaf.pi_opens_iso_sections_family._proof_1 0.000385 s: Top.presheaf.pi_opens_iso_sections_family._proof_2 0.004570 s: category_theory.limits.types.product_limit_cone._proof_1 0.009130 s: category_theory.limits.types.product_limit_cone._proof_2 0.014099 s: category_theory.limits.types.product_limit_cone._proof_3 0.011201 s: category_theory.limits.types.product_limit_cone 0.000532 s: Top.presheaf.pi_opens_iso_sections_family._proof_3 0.001653 s: Top.presheaf.pi_opens_iso_sections_family 0.000104 s: category_theory.limits.types.limit_equiv_sections._proof_1 0.000460 s: category_theory.iso.to_equiv._proof_1 0.000337 s: category_theory.iso.to_equiv._proof_2 0.000784 s: category_theory.iso.to_equiv 0.000688 s: category_theory.limits.types.is_limit_equiv_sections 0.000099 s: category_theory.limits.types.limit_equiv_sections._proof_2 0.000078 s: category_theory.limits.types.limit_equiv_sections._proof_3 0.000720 s: category_theory.limits.types.limit_equiv_sections 0.003945 s: category_theory.limits.types.limit_equiv_sections_apply 0.002527 s: category_theory.limits.types.limit_ext 0.002452 s: Top.presheaf.sheaf_condition_equalizer_products.left_res.equations._eqn_1 0.003276 s: category_theory.limits.types.limit.lift_π_apply 0.002102 s: Top.presheaf.sheaf_condition_equalizer_products.right_res.equations._eqn_1 0.003701 s: category_theory.limits.types.pi_lift_π_apply 0.024116 s: Top.presheaf.compatible_iff_left_res_eq_right_res 0.015904 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_7 0.000383 s: category_theory.types_comp_apply 0.012466 s: Top.presheaf.is_gluing_iff_eq_res 0.059011 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing._proof_8 0.017901 s: Top.presheaf.sheaf_condition_of_sheaf_condition_unique_gluing 0.002494 s: Top.presheaf.sheaf_condition_of_exists_unique_gluing._proof_2 0.001725 s: Top.presheaf.sheaf_condition_of_exists_unique_gluing._proof_3 0.003531 s: Top.presheaf.sheaf_condition_of_exists_unique_gluing._proof_4 0.002695 s: Top.presheaf.sheaf_condition_of_exists_unique_gluing 0.000091 s: Top.sheaf_to_Types._proof_1 0.000063 s: Top.sheaf_to_Types._proof_2 0.014652 s: Top.presheaf_to_Types._proof_1 0.005345 s: Top.presheaf_to_Types._proof_2 0.005447 s: Top.presheaf_to_Types 0.000676 s: topological_space.opens.mem_coe 0.001695 s: topological_space.opens.mem_supr 0.002591 s: Top.presheaf.to_Types._match_1 0.026568 s: Top.presheaf.to_Types._proof_1 0.000647 s: Top.presheaf.to_Types 0.000265 s: Top.sheaf_to_Types 0.000081 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_1 0.000058 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_2 0.000115 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_3 0.000086 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_4 0.000057 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_5 0.005562 s: category_theory.limits.fork.is_limit.lift'._proof_1 0.005101 s: category_theory.limits.fork.is_limit.lift' 0.005434 s: category_theory.limits.types.unique_of_type_equalizer 0.000896 s: category_theory.inv_hom_id_apply 0.003842 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_6 0.008295 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_7 0.006121 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_8 0.011822 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition._proof_9 0.008040 s: Top.presheaf.sheaf_condition_unique_gluing_of_sheaf_condition 0.000444 s: Top.sheaf.sheaf_condition 0.002545 s: Top.sheaf.exists_unique_gluing 0.005313 s: Top.local_predicate.locality 0.024175 s: Top.subpresheaf_to_Types.sheaf_condition._proof_1 0.000925 s: Top.subpresheaf_to_Types.sheaf_condition 0.000250 s: Top.subsheaf_to_Types 0.000766 s: con 0.000182 s: con.r 0.000286 s: con.iseqv 0.000088 s: con.to_setoid 0.000030 s: con.quotient 0.000053 s: con.has_coe_to_fun 0.000385 s: con.refl 0.000283 s: con.symm 0.000347 s: con.trans 0.004168 s: con.has_Inf._proof_1 0.000322 s: con.mul' 0.000443 s: con.mul 0.000262 s: con.has_Inf._proof_2 0.000375 s: con.has_Inf 0.001091 s: localization.r 0.000174 s: localization 0.014644 s: ideal.prime_compl._proof_1 0.006366 s: ideal.prime_compl._proof_2 0.001177 s: ideal.prime_compl 0.002115 s: localization.at_prime 0.000424 s: algebraic_geometry.structure_sheaf.localizations 0.240163 s: Top.prelocal_predicate.sheafify._proof_1 0.445506 s: Top.prelocal_predicate.sheafify._proof_2 0.011640 s: Top.prelocal_predicate.sheafify 0.000788 s: con.lift_on₂ 0.000083 s: con.quotient.has_coe_t 0.000668 s: con.eq 0.001958 s: con.has_mul._proof_1 0.000303 s: con.has_mul 0.001241 s: con.mul_one_class._proof_1 0.000861 s: con.mul_one_class._proof_2 0.000345 s: con.mul_one_class 0.000177 s: con.mk'._proof_1 0.000098 s: con.mk'._proof_2 0.000805 s: con.mk' 0.001297 s: localization.mk 0.001382 s: localization.r'._match_1 0.001167 s: submonoid.coe_mul 0.005225 s: localization.r'._proof_1 0.005494 s: localization.r'._proof_2 0.001893 s: localization.r' 0.000259 s: con.has_le 0.000245 s: con.partial_order._proof_1 0.000481 s: con.partial_order._proof_2 0.000188 s: con.partial_order._proof_3 0.000341 s: con.cases_on 0.000689 s: con.no_confusion_type 0.000864 s: con.no_confusion 0.001107 s: con.mk.inj 0.001362 s: con.mk.inj_eq 0.000671 s: con.ext' 0.000527 s: con.ext 0.001334 s: con.partial_order._proof_4 0.000923 s: con.partial_order 0.001102 s: con.complete_lattice._proof_1 0.002947 s: con.complete_lattice._proof_2 0.002261 s: con.complete_lattice._proof_3 0.002030 s: con.complete_lattice._proof_4 0.001919 s: con.complete_lattice._proof_5 0.002017 s: con.complete_lattice._proof_6 0.001805 s: con.complete_lattice._proof_7 0.002742 s: con.complete_lattice._proof_8 0.000120 s: con.complete_lattice._proof_9 0.001321 s: con.complete_lattice._proof_10 0.001630 s: con.complete_lattice._proof_11 0.001659 s: con.complete_lattice._proof_12 0.003569 s: con.complete_lattice._proof_13 0.000091 s: con.complete_lattice._proof_14 0.000604 s: con.complete_lattice._proof_15 0.000108 s: con.complete_lattice._proof_16 0.000044 s: con.complete_lattice._proof_17 0.000500 s: con.complete_lattice._proof_18 0.001349 s: con.complete_lattice._proof_19 0.002503 s: con.complete_lattice._proof_20 0.002149 s: con.complete_lattice._proof_21 0.001905 s: con.complete_lattice._proof_22 0.002423 s: con.complete_lattice._proof_23 0.013485 s: con.complete_lattice 0.000321 s: prod.fst_one 0.000785 s: submonoid.coe_one 0.000204 s: prod.snd_one 0.000220 s: prod.mk_mul_mk 0.000264 s: submonoid.to_comm_monoid._proof_1 0.000351 s: submonoid.to_comm_monoid._proof_2 0.000446 s: submonoid.to_comm_monoid._proof_3 0.003710 s: submonoid.to_comm_monoid 0.017655 s: localization.r_eq_r' 0.047048 s: localization.has_add._proof_1 0.013925 s: localization.has_add 0.001844 s: localization.r_iff_exists 0.001635 s: localization.r_of_eq 0.032011 s: localization.comm_ring._proof_1 0.014001 s: localization.has_zero 0.027444 s: localization.comm_ring._proof_2 0.031844 s: localization.comm_ring._proof_3 0.030239 s: localization.comm_ring._proof_4 0.031450 s: localization.comm_ring._proof_5 0.057357 s: localization.comm_ring._proof_6 0.057698 s: localization.comm_ring._proof_7 0.000624 s: con.lift_on 0.017961 s: localization.has_neg._proof_1 0.005691 s: localization.has_neg 0.003594 s: localization.comm_ring._proof_8 0.094777 s: localization.comm_ring._proof_9 0.079908 s: localization.comm_ring._proof_10 0.012046 s: con.monoid._proof_1 0.000241 s: con.monoid._proof_2 0.000279 s: con.monoid._proof_3 0.000158 s: con.monoid._proof_4 0.000129 s: con.monoid._proof_5 0.001209 s: con.monoid._proof_6 0.001079 s: con.monoid._proof_7 0.003984 s: con.monoid 0.000171 s: con.comm_monoid._proof_1 0.000135 s: con.comm_monoid._proof_2 0.000136 s: con.comm_monoid._proof_3 0.000324 s: con.comm_monoid._proof_4 0.000534 s: con.comm_monoid._proof_5 0.000763 s: con.induction_on₂ 0.000395 s: con.coe_mul 0.001378 s: con.comm_monoid._proof_6 0.000991 s: con.comm_monoid 0.000229 s: prod.comm_semigroup._proof_1 0.000344 s: prod.comm_semigroup._proof_2 0.000573 s: prod.comm_semigroup 0.000188 s: prod.comm_monoid._proof_1 0.000201 s: prod.comm_monoid._proof_2 0.000233 s: prod.comm_monoid._proof_3 0.000342 s: prod.comm_monoid._proof_4 0.000409 s: prod.comm_monoid._proof_5 0.000204 s: prod.comm_monoid._proof_6 0.002135 s: prod.comm_monoid 0.002364 s: localization.comm_monoid 0.003912 s: localization.comm_ring._proof_11 0.002831 s: localization.comm_ring._proof_12 0.002586 s: localization.comm_ring._proof_13 0.004057 s: localization.comm_ring._proof_14 0.004476 s: localization.comm_ring._proof_15 0.000234 s: prod.snd_mul 0.000229 s: prod.fst_mul 0.034503 s: localization.comm_ring._proof_16 0.045561 s: localization.comm_ring._proof_17 0.010138 s: localization.comm_ring._proof_18 0.026136 s: localization.comm_ring 0.000567 s: algebraic_geometry.structure_sheaf.localizations.comm_ring 0.004023 s: algebraic_geometry.structure_sheaf.is_fraction._proof_1 0.000320 s: ring_hom.mk'._proof_1 0.000281 s: ring_hom.mk'._proof_2 0.006442 s: ring_hom.mk'._proof_3 0.004038 s: ring_hom.mk'._proof_4 0.008022 s: ring_hom.mk' 0.018142 s: submonoid.localization_map.to_ring_localization._proof_1 0.021134 s: submonoid.localization_map.to_ring_localization._proof_2 0.024718 s: submonoid.localization_map.to_ring_localization._proof_3 0.021577 s: submonoid.localization_map.to_ring_localization._proof_4 0.011871 s: submonoid.localization_map.to_ring_localization._proof_5 0.004452 s: submonoid.localization_map.to_ring_localization._proof_6 0.002444 s: submonoid.localization_map.eq_iff_exists' 0.004294 s: submonoid.localization_map.to_ring_localization._proof_7 0.014984 s: submonoid.localization_map.to_ring_localization 0.000181 s: monoid_hom.inl._proof_1 0.001110 s: monoid_hom.inl._proof_2 0.000562 s: monoid_hom.inl 0.004293 s: localization.monoid_of._proof_1 0.001700 s: localization.monoid_of._proof_2 0.001688 s: is_unit_iff_exists_inv 0.000681 s: monoid_hom.inl_apply 0.002475 s: localization.one_rel 0.007997 s: localization.monoid_of._proof_3 0.003852 s: localization.ind 0.000757 s: localization.induction_on 0.007053 s: localization.monoid_of._proof_4 0.003162 s: localization.monoid_of._proof_5 0.006203 s: localization.monoid_of 0.016140 s: localization.of._proof_1 0.022059 s: localization.of 0.010061 s: algebraic_geometry.structure_sheaf.is_fraction 0.018318 s: algebraic_geometry.structure_sheaf.is_fraction_prelocal._proof_1 0.002687 s: algebraic_geometry.structure_sheaf.is_fraction_prelocal 0.000160 s: algebraic_geometry.structure_sheaf.is_locally_fraction 0.000335 s: algebraic_geometry.structure_sheaf_in_Type 0.035385 s: algebraic_geometry.structure_sheaf.sections_subring._proof_1 0.092247 s: algebraic_geometry.structure_sheaf.sections_subring._proof_2 0.034977 s: algebraic_geometry.structure_sheaf.sections_subring._proof_3 0.090646 s: algebraic_geometry.structure_sheaf.sections_subring._proof_4 0.033639 s: algebraic_geometry.structure_sheaf.sections_subring._proof_5 0.008544 s: algebraic_geometry.structure_sheaf.sections_subring 0.035579 s: algebraic_geometry.comm_ring_structure_sheaf_in_Type_obj 0.005743 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_1 0.005561 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_2 0.003262 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_3 0.002360 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_4 0.186892 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_5 0.149793 s: algebraic_geometry.structure_presheaf_in_CommRing._proof_6 0.152965 s: algebraic_geometry.structure_presheaf_in_CommRing 0.000137 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_2 0.000100 s: algebraic_geometry.structure_sheaf._proof_3 0.000062 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_1 0.002153 s: category_theory.limits.preserves_limit 0.000904 s: category_theory.limits.preserves_limits_of_shape 0.000805 s: category_theory.limits.preserves_limits 0.000089 s: equiv_of_subsingleton_of_subsingleton._proof_1 0.000057 s: equiv_of_subsingleton_of_subsingleton._proof_2 0.000183 s: equiv_of_subsingleton_of_subsingleton 0.000092 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_3 0.000059 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_4 0.017701 s: Top.presheaf.sheaf_condition.subsingleton 0.000324 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_5 0.003121 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_6 0.000112 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_7 0.000075 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_8 0.000071 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_9 0.000087 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_10 0.000089 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_2 0.000098 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_1 0.000063 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_3 0.000073 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_4 0.001896 s: category_theory.limits.preserves_limit.preserves 0.001898 s: category_theory.limits.is_limit_fan_mk_obj_of_is_limit 0.006445 s: category_theory.limits.product_is_product._proof_1 0.001679 s: category_theory.limits.product_is_product 0.001150 s: category_theory.limits.is_limit_of_has_product_of_preserves_limit 0.001279 s: category_theory.limits.preserves_product.iso 0.000868 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_5 0.000872 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_6 0.000316 s: category_theory.limits.preserves_limits_of_shape.preserves_limit 0.000244 s: category_theory.limits.preserves_limits.preserves_limits_of_shape 0.000854 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_7 0.000692 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_8 0.000600 s: category_theory.limits.pi_comparison 0.004683 s: category_theory.limits.preserves_product.iso_hom 0.002820 s: category_theory.limits.pi_comparison_comp_π 0.013170 s: category_theory.limits.map_lift_pi_comparison 0.002344 s: category_theory.limits.pi_comparison_comp_π_assoc 0.127407 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits._proof_9 0.022551 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits 0.000086 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_6 0.001096 s: category_theory.limits.is_limit.postcompose_inv_equiv 0.000188 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_11 0.000124 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_1 0.000099 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_2 0.000063 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_3 0.000073 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_4 0.000046 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_5 0.000059 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_7 0.000055 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_8 0.000055 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_9 0.000056 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_10 0.000045 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_11 0.000073 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_12 0.013339 s: Top.presheaf.sheaf_condition.diagram_comp_preserves_limits.equations._eqn_1 0.010125 s: Top.presheaf.sheaf_condition_equalizer_products.res_π 0.107971 s: Top.presheaf.sheaf_condition.map_cone_fork._proof_13 0.024567 s: Top.presheaf.sheaf_condition.map_cone_fork 0.000163 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_12 0.000088 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_13 0.000058 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_14 0.000044 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_15 0.001585 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_16 0.001298 s: category_theory.limits.equalizer.lift 0.001308 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_17 0.000111 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_18 0.001909 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_19 0.000107 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_20 0.000136 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_21 0.000066 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_22 0.000067 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_23 0.000952 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_24 0.000088 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_25 0.000928 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_26 0.000216 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_27 0.000141 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_28 0.000091 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_29 0.000076 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_30 0.000229 s: category_theory.limits.equalizer.fork 0.002109 s: category_theory.limits.equalizer.lift_ι 0.002138 s: category_theory.limits.map_lift_pi_comparison_assoc 0.001189 s: category_theory.limits.is_limit.hom_is_iso 0.057537 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_31 0.009006 s: category_theory.limits.fork.of_ι_π_app 0.123641 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp._proof_32 0.038363 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp 0.005985 s: category_theory.coe_comp 0.003364 s: ring_equiv.symm_to_ring_hom_apply_to_ring_hom_apply 0.001557 s: category_theory.coe_id 0.013124 s: ring_equiv.to_CommRing_iso._proof_1 0.003706 s: ring_equiv.to_ring_hom_apply_symm_to_ring_hom_apply 0.011792 s: ring_equiv.to_CommRing_iso._proof_2 0.004856 s: ring_equiv.to_CommRing_iso 0.024210 s: CommRing.forget_reflects_isos 0.020261 s: category_theory.limits.comp_preserves_limit 0.006308 s: category_theory.preserves_limit_of_creates_limit_and_has_limit 0.000521 s: CommRing.forget_preserves_limits._proof_1 0.000329 s: Ring.forget_preserves_limits._proof_1 0.001548 s: category_theory.limits.preserves_limit_of_preserves_limit_cone 0.004288 s: SemiRing.forget_preserves_limits 0.030643 s: Ring.forget_preserves_limits 0.065157 s: CommRing.forget_preserves_limits 0.000091 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_1 0.000161 s: algebraic_geometry.structure_sheaf._proof_4 0.000058 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_2 0.000074 s: algebraic_geometry.structure_sheaf._proof_5 0.000620 s: Top.presheaf.category 0.000070 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_3 0.000073 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_4 0.000163 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_5 0.000129 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_6 0.000124 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_7 0.000087 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_8 0.000058 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_9 0.000127 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_10 0.000048 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_11 0.000048 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_12 0.000045 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_13 0.000044 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_14 0.000036 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_1 0.000035 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_2 0.000033 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_3 0.000057 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_4 0.000033 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_iso._proof_1 0.000033 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_iso._proof_2 0.003882 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_iso 0.000100 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_5 0.000039 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_iso._proof_1 0.000049 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_iso._proof_2 0.000052 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_iso._proof_3 0.001669 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_iso 0.000076 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_6 0.001541 s: Top.presheaf.sheaf_condition_equalizer_products.pi_opens.iso_of_iso.equations._eqn_1 0.001411 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.iso_of_iso.equations._eqn_1 0.090505 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso._proof_7 0.011180 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso 0.000064 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_8 0.000095 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_15 0.000105 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_16 0.000050 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_17 0.000051 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_1 0.000055 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_18 0.000059 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_2 0.000048 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_19 0.000053 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_3 0.000048 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_20 0.000054 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_4 0.000088 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_21 0.000036 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_5 0.000050 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_22 0.000047 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_6 0.000049 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_23 0.000046 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_7 0.000069 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_24 0.000035 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_9 0.000047 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_25 0.000045 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_10 0.000064 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_11 0.000075 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_12 0.000046 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_13 0.000039 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_14 0.000045 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_15 0.000044 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_16 0.000034 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_17 0.000035 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_18 0.003885 s: Top.presheaf.sheaf_condition_equalizer_products.diagram.iso_of_iso.equations._eqn_1 0.001627 s: category_theory.iso.app_inv 0.084486 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso._proof_19 0.016958 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_iso 0.000068 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_26 0.000076 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_27 0.000103 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_28 0.000065 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_29 0.000048 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_30 0.000046 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_31 0.000044 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_32 0.000061 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_33 0.000047 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_34 0.000046 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_35 0.000049 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_36 0.000042 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_37 0.000052 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_38 0.000046 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_39 0.000047 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_40 0.000058 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_41 0.000046 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_42 0.000045 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_43 0.000049 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_44 0.000047 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_45 0.000034 s: Top.presheaf.sheaf_condition_equiv_of_iso._proof_46 0.008137 s: Top.presheaf.sheaf_condition_equiv_of_iso 0.000087 s: algebraic_geometry.structure_sheaf._proof_6 0.026500 s: algebraic_geometry.structure_presheaf_comp_forget._proof_1 0.020613 s: algebraic_geometry.structure_presheaf_comp_forget 0.002712 s: algebraic_geometry.structure_sheaf 0.007668 s: algebraic_geometry.open_to_localization._proof_4 0.000249 s: mvpfunctor.mvfunctor_M 0.000135 s: mvpfunctor.mvfunctor_M.equations._eqn_1 0.000956 s: is_compactly_generated 0.000155 s: is_compactly_generated.exists_Sup_eq 0.002219 s: bilin_form.to_lin'_flip._proof_2 0.017496 s: list.norm_prod_le' 0.007334 s: list.norm_prod_le 0.000215 s: where.select_for_which._match_1 0.000150 s: where.select_for_which._match_2 0.000369 s: where.select_for_which._main 0.000128 s: where.select_for_which 0.002070 s: category_theory.bifunctor.map_id 0.002279 s: category_theory.curry_obj._proof_1 0.001221 s: category_theory.prod_comp 0.003649 s: category_theory.bifunctor.map_id_comp 0.003624 s: category_theory.curry_obj._proof_2 0.002057 s: category_theory.curry_obj._proof_3 0.003446 s: category_theory.curry_obj._proof_4 0.001833 s: category_theory.curry_obj._proof_5 0.003034 s: category_theory.curry_obj._proof_6 0.003395 s: category_theory.bifunctor.diagonal 0.004007 s: category_theory.bifunctor.diagonal' 0.020488 s: category_theory.curry_obj._proof_7 0.058455 s: category_theory.curry_obj._proof_8 0.009354 s: category_theory.bifunctor.map_comp_id 0.090571 s: category_theory.curry_obj._proof_9 0.033632 s: category_theory.curry_obj 0.010067 s: category_theory.functor.prod._proof_1 0.020156 s: category_theory.functor.prod._proof_2 0.005287 s: category_theory.functor.prod 0.000861 s: category_theory.over.coprod_obj._proof_1 0.000363 s: category_theory.over.coprod_obj._proof_2 0.000380 s: category_theory.over.coprod_obj._proof_3 0.000343 s: category_theory.over.coprod_obj._proof_4 0.000345 s: category_theory.over.coprod_obj._proof_5 0.000352 s: category_theory.over.coprod_obj._proof_6 0.000443 s: category_theory.over.coprod_obj._proof_7 0.000389 s: category_theory.over.coprod_obj._proof_8 0.020908 s: category_theory.over.coprod_obj._proof_9 0.048522 s: category_theory.over.coprod_obj._proof_10 0.072472 s: category_theory.over.coprod_obj._proof_11 0.016469 s: category_theory.over.coprod_obj 0.028614 s: category_theory.over.coprod._proof_1 0.067184 s: category_theory.over.coprod._proof_2 0.071842 s: category_theory.over.coprod._proof_3 0.314340 s: category_theory.over.coprod._proof_4 0.027365 s: category_theory.over.coprod 0.007281 s: category_theory.mono_over.sup 0.001609 s: category_theory.subobject.sup 0.000189 s: category_theory.subobject.semilattice_sup._proof_1 0.000144 s: category_theory.subobject.semilattice_sup._proof_2 0.001026 s: category_theory.subobject.semilattice_sup._proof_3 0.000470 s: category_theory.subobject.semilattice_sup._proof_4 0.001460 s: category_theory.mono_over.le_sup_left._proof_1 0.002427 s: category_theory.mono_over.le_sup_left._proof_2 0.002382 s: category_theory.mono_over.le_sup_left._proof_3 0.023001 s: category_theory.mono_over.le_sup_left._proof_4 0.010989 s: category_theory.mono_over.le_sup_left 0.005583 s: category_theory.subobject.semilattice_sup._proof_5 0.001882 s: category_theory.mono_over.le_sup_right._proof_1 0.001573 s: category_theory.mono_over.le_sup_right._proof_2 0.002613 s: category_theory.mono_over.le_sup_right._proof_3 0.018553 s: category_theory.mono_over.le_sup_right._proof_4 0.013129 s: category_theory.mono_over.le_sup_right 0.005971 s: category_theory.subobject.semilattice_sup._proof_6 0.002417 s: category_theory.mono_over.sup_le._proof_1 0.002453 s: category_theory.mono_over.sup_le._proof_2 0.002370 s: category_theory.mono_over.sup_le._proof_3 0.040748 s: category_theory.mono_over.sup_le._proof_4 0.067479 s: category_theory.mono_over.sup_le._proof_5 0.021455 s: category_theory.mono_over.sup_le 0.006593 s: category_theory.subobject.semilattice_sup._match_1 0.002345 s: category_theory.subobject.semilattice_sup._match_2 0.001912 s: category_theory.subobject.semilattice_sup._proof_7 0.002203 s: category_theory.subobject.semilattice_sup 0.000580 s: category_theory.subobject.lattice._proof_5 0.000345 s: category_theory.monoidal_closed 0.000185 s: category_theory.monoidal_closed.cases_on 0.003485 s: nnreal.coe_div 0.000852 s: nnreal.coe_ne_zero 0.012242 s: nnreal.div_add_div 0.039067 s: nnreal.add_div' 0.007830 s: one_div_pow 0.000080 s: int.nat_abs_of_neg_succ_of_nat 0.000370 s: subgroup.inv_mem_iff 0.001800 s: subgroup.is_cyclic._match_1 0.000041 s: pgame.list_short.nil.inj 0.000143 s: string.iterator_imp 0.000010 s: string.iterator 0.000053 s: string.iterator_imp.cases_on 0.000072 s: string.iterator.prev._main 0.000010 s: 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smul_lie 0.030987 s: linear_map.lie_module._proof_3 0.037263 s: linear_map.lie_module._proof_4 0.017035 s: linear_map.lie_module 0.003378 s: linear_map.rtensor 0.000145 s: ring.has_bracket 0.001353 s: ring.lie_def 0.003580 s: lie_ring.of_associative_ring._proof_1 0.003066 s: lie_ring.of_associative_ring._proof_2 0.000665 s: lie_ring.of_associative_ring._proof_3 0.047203 s: lie_ring.of_associative_ring._proof_4 0.000376 s: lie_ring.of_associative_ring 0.000563 s: linear_map.endomorphism_ring._proof_1 0.000432 s: linear_map.endomorphism_ring._proof_2 0.000463 s: linear_map.endomorphism_ring._proof_3 0.011141 s: linear_map.endomorphism_ring._proof_4 0.002122 s: linear_map.endomorphism_ring._proof_5 0.001796 s: linear_map.endomorphism_ring._proof_6 0.000721 s: linear_map.endomorphism_ring._proof_7 0.000269 s: linear_map.endomorphism_ring._proof_8 0.000236 s: linear_map.endomorphism_ring._proof_9 0.000324 s: linear_map.endomorphism_ring._proof_10 0.000284 s: linear_map.endomorphism_ring._proof_11 0.000616 s: linear_map.endomorphism_ring._proof_12 0.000441 s: linear_map.endomorphism_ring._proof_13 0.000312 s: linear_map.endomorphism_ring._proof_14 0.000318 s: linear_map.endomorphism_ring._proof_15 0.012623 s: linear_map.endomorphism_ring 0.001419 s: lie_ring.of_associative_ring_bracket 0.041491 s: lie_algebra.of_associative_algebra._proof_1 0.019348 s: lie_algebra.of_associative_algebra 0.001775 s: lie_module.to_endomorphism._proof_1 0.018070 s: lie_module.to_endomorphism._proof_2 0.052211 s: lie_module.to_endomorphism._proof_3 0.024054 s: lie_module.to_endomorphism._proof_4 0.046052 s: lie_module.to_endomorphism 0.005982 s: linear_map.ltensor 0.045936 s: tensor_product.lie_module.has_bracket_aux 0.044068 s: tensor_product.lie_module.has_bracket_aux.equations._eqn_1 0.018911 s: lie_hom.map_add 0.007118 s: linear_map.rtensor_hom._proof_1 0.008154 s: linear_map.rtensor_hom._proof_2 0.007232 s: linear_map.rtensor_hom._proof_3 0.007286 s: linear_map.rtensor_hom._proof_4 0.014570 s: linear_map.rtensor_tmul 0.026904 s: linear_map.rtensor_hom._proof_5 0.040788 s: linear_map.rtensor_hom._proof_6 0.016302 s: linear_map.rtensor_hom 0.009522 s: linear_map.rtensor_add 0.007343 s: linear_map.ltensor_hom._proof_1 0.008625 s: linear_map.ltensor_hom._proof_2 0.008832 s: linear_map.ltensor_hom._proof_3 0.008901 s: linear_map.ltensor_hom._proof_4 0.016090 s: linear_map.ltensor_tmul 0.021261 s: linear_map.ltensor_hom._proof_5 0.030693 s: linear_map.ltensor_hom._proof_6 0.011854 s: linear_map.ltensor_hom 0.009539 s: linear_map.ltensor_add 0.058743 s: tensor_product.lie_module.lie_ring_module._proof_1 0.023135 s: tensor_product.lie_module.lie_ring_module._proof_2 0.037429 s: lie_module.to_endomorphism_apply_apply 0.011624 s: linear_map.coe_rtensor_hom 0.031531 s: linear_map.rtensor_sub 0.013858 s: linear_map.coe_ltensor_hom 0.031493 s: linear_map.ltensor_sub 0.100768 s: tensor_product.lie_module.lie_ring_module._proof_3 0.036076 s: tensor_product.lie_module.lie_ring_module 0.009293 s: lie_hom.map_smul 0.021165 s: linear_map.rtensor_smul 0.021417 s: linear_map.ltensor_smul 0.076734 s: tensor_product.lie_module.lie_module._proof_1 0.027483 s: tensor_product.lie_module.lie_module._proof_2 0.033590 s: tensor_product.lie_module.lie_module 0.005801 s: lie_module_hom.to_fun 0.002374 s: lie_module_hom.map_add' 0.003558 s: lie_module_hom.map_smul' 0.002442 s: lie_module_hom.to_linear_map 0.001304 s: lie_module_hom.linear_map.has_coe 0.001944 s: lie_module_hom.has_add._proof_1 0.001975 s: lie_module_hom.has_add._proof_2 0.000769 s: lie_module_hom.has_coe_to_fun 0.002372 s: lie_module_hom.coe_to_linear_map 0.002740 s: lie_module_hom.map_lie' 0.001554 s: lie_module_hom.map_lie 0.008242 s: lie_module_hom.has_add._proof_3 0.003402 s: lie_module_hom.has_add 0.000811 s: lie_module_hom.has_zero._proof_1 0.001915 s: lie_module_hom.has_zero._proof_2 0.005123 s: lie_module_hom.has_zero._proof_3 0.002781 s: lie_module_hom.has_zero 0.002195 s: lie_module_hom.has_neg._proof_1 0.002292 s: lie_module_hom.has_neg._proof_2 0.004453 s: lie_module_hom.has_neg._proof_3 0.002710 s: lie_module_hom.has_neg 0.001538 s: lie_module_hom.has_sub._proof_1 0.001749 s: lie_module_hom.has_sub._proof_2 0.004941 s: lie_module_hom.has_sub._proof_3 0.003733 s: lie_module_hom.has_sub 0.002743 s: lie_module_hom.cases_on 0.006509 s: lie_module_hom.coe_injective 0.004503 s: lie_module_hom.coe_zero 0.007572 s: lie_module_hom.coe_add 0.003980 s: lie_module_hom.coe_neg 0.003017 s: lie_module_hom.coe_sub 0.011068 s: lie_module_hom.add_comm_group._proof_1 0.010748 s: lie_module_hom.add_comm_group._proof_2 0.012043 s: lie_module_hom.add_comm_group._proof_3 0.000376 s: lie_module_hom.add_comm_group._proof_4 0.004193 s: lie_module_hom.add_comm_group._proof_5 0.003081 s: lie_module_hom.add_comm_group._proof_6 0.001623 s: lie_nsmul 0.010014 s: lie_module_hom.add_comm_group._proof_7 0.002214 s: lie_module_hom.ext 0.003282 s: lie_module_hom.coe_mk 0.036355 s: lie_module_hom.add_comm_group._proof_8 0.051496 s: lie_module_hom.add_comm_group._proof_9 0.018837 s: lie_module_hom.add_comm_group._proof_10 0.012903 s: lie_module_hom.add_comm_group._proof_11 0.013116 s: lie_module_hom.add_comm_group._proof_12 0.029647 s: lie_module_hom.add_comm_group 0.014839 s: lie_module_hom.has_scalar._proof_1 0.016362 s: lie_module_hom.has_scalar._proof_2 0.018710 s: lie_module_hom.has_scalar._proof_3 0.024591 s: lie_module_hom.has_scalar._proof_4 0.010444 s: lie_module_hom.has_scalar 0.001997 s: lie_module_hom.module._proof_1 0.008204 s: lie_module_hom.coe_smul 0.015079 s: lie_module_hom.module 0.013087 s: tensor_product.lie_module.lift_lie._proof_2 0.009154 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_1 0.000247 s: lie_module.maximal_trivial_submodule._proof_1 0.007496 s: lie_module.maximal_trivial_submodule._proof_2 0.010956 s: lie_module.maximal_trivial_submodule._proof_3 0.001247 s: lie_module.maximal_trivial_submodule._proof_4 0.004359 s: lie_module.maximal_trivial_submodule 0.022835 s: tensor_product.lie_module.lift_lie._proof_3 0.012768 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_2 0.027802 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_3 0.030287 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_4 0.036212 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_5 0.083152 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_6 0.009462 s: linear_map.is_scalar_tower 0.086859 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_7 0.018845 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_8 0.007580 s: lie_module_hom.coe_linear_mk 0.002161 s: linear_map.mk_coe 0.000921 s: set_like.eta 0.055280 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_9 0.013050 s: lie_module_hom.mk_coe 0.053913 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom._proof_10 0.124224 s: lie_module.maximal_trivial_linear_map_equiv_lie_module_hom 0.018220 s: lie_module_equiv 0.010376 s: tensor_product.lie_module.lift._proof_1 0.019792 s: tensor_product.lie_module.lift._proof_2 0.013173 s: tensor_product.lie_module.lift._proof_3 0.003789 s: lie_submodule.lie_ring_module._proof_1 0.010699 s: lie_submodule.lie_ring_module._proof_2 0.008021 s: lie_submodule.lie_ring_module._proof_3 0.010115 s: lie_submodule.lie_ring_module._proof_4 0.010352 s: lie_submodule.lie_ring_module 0.050733 s: lie_submodule.lie_module._proof_1 0.054229 s: lie_submodule.lie_module._proof_2 0.049396 s: lie_submodule.lie_module 0.011918 s: lie_module_equiv.to_fun 0.003219 s: lie_module_equiv.map_add' 0.002362 s: lie_module_equiv.map_smul' 0.001890 s: lie_module_equiv.inv_fun 0.002364 s: lie_module_equiv.left_inv 0.003070 s: lie_module_equiv.right_inv 0.002596 s: lie_module_equiv.to_linear_equiv 0.001574 s: lie_module_equiv.has_coe_to_linear_equiv 0.010097 s: lie_module_hom.map_zero 0.005644 s: lie_module.maximal_trivial_hom._proof_1 0.009157 s: lie_module_hom.map_add 0.040428 s: lie_module.maximal_trivial_hom._proof_2 0.010388 s: lie_module_hom.map_smul 0.099755 s: lie_module.maximal_trivial_hom._proof_3 0.000472 s: lie_module.is_trivial 0.000149 s: lie_module.is_trivial.trivial 0.000114 s: trivial_lie_zero 0.018741 s: lie_module.maximal_trivial_submodule.is_trivial 0.029878 s: lie_module.maximal_trivial_hom._proof_4 0.101109 s: lie_module.maximal_trivial_hom 0.013045 s: lie_module_equiv.map_lie' 0.004623 s: lie_module_equiv.to_lie_module_hom 0.001171 s: lie_module_equiv.has_coe_to_lie_module_hom 0.084408 s: lie_module.maximal_trivial_equiv._proof_1 0.096319 s: lie_module.maximal_trivial_equiv._proof_2 0.013139 s: lie_module_hom.inverse._proof_1 0.004759 s: lie_module_hom.inverse._proof_2 0.002212 s: lie_module_hom.inverse._proof_3 0.005448 s: lie_module_hom.inverse 0.005299 s: lie_module_equiv.symm._proof_1 0.005202 s: lie_module_equiv.symm._proof_2 0.001589 s: lie_module_equiv.symm._proof_3 0.001739 s: lie_module_equiv.symm._proof_4 0.004444 s: lie_module_equiv.symm._proof_5 0.012700 s: lie_module_equiv.symm 0.002919 s: lie_module_equiv.has_coe_to_fun 0.086016 s: lie_module.coe_maximal_trivial_hom_apply 0.013970 s: lie_module_equiv.coe_to_lie_module_hom 0.004048 s: lie_module_equiv.symm_apply_apply 0.088984 s: lie_module.maximal_trivial_equiv._proof_3 0.018426 s: lie_module_equiv.apply_symm_apply 0.085758 s: lie_module.maximal_trivial_equiv._proof_4 0.089979 s: lie_module.maximal_trivial_equiv._proof_5 0.109851 s: lie_module.maximal_trivial_equiv 0.019483 s: tensor_product.lie_module.lift._proof_4 0.016374 s: tensor_product.lie_module.lift._proof_5 0.010869 s: tensor_product.lie_module.lift._proof_6 0.024601 s: tensor_product.lie_module.lift._proof_7 0.021730 s: tensor_product.lie_module.lift._proof_8 0.023400 s: tensor_product.lie_module.lift._proof_9 0.023572 s: tensor_product.lie_module.lift._proof_10 0.027137 s: tensor_product.lie_module.lift._proof_11 0.031764 s: tensor_product.lie_module.lift._proof_12 0.030440 s: tensor_product.lie_module.lift._proof_13 0.032386 s: tensor_product.lie_module.lift._proof_14 0.000816 s: linear_equiv.to_fun_eq_coe 0.022060 s: tensor_product.lift.equiv_apply 0.052976 s: tensor_product.lie_module.lie_tensor_right 0.105576 s: tensor_product.lie_module.lift._proof_15 0.148902 s: tensor_product.lie_module.lift 0.161812 s: tensor_product.lie_module.lift_lie 0.000567 s: list.enum_from._main 0.013850 s: category_theory.limits.wide_pushout_shape.mk_cocone._match_1 0.009345 s: category_theory.limits.wide_pushout_shape.mk_cocone._proof_1 0.000386 s: Ring.ring.equations._eqn_1 0.000211 s: category_theory.with_initial.map._match_1 0.003071 s: category_theory.with_initial.map._match_2 0.003802 s: category_theory.with_initial.map._proof_1 0.001397 s: category_theory.subobject.factor_thru_self 0.000149 s: one_one_reducible 0.000054 s: one_one_equiv 0.001328 s: one_one_reducible.trans 0.000503 s: one_one_equiv.le_congr_right 0.000301 s: one_one_equiv.le_congr_left 0.000392 s: one_one_equiv.congr_right 0.000105 s: composition.blocks_fun._proof_1 0.000406 s: composition.blocks_fun 0.000140 s: list.split_at._match_1 0.000307 s: list.split_at._main 0.000042 s: list.split_at 0.000278 s: list.split_wrt_composition_aux._main 0.000026 s: list.split_wrt_composition_aux 0.000036 s: list.split_wrt_composition 0.000309 s: list.split_wrt_composition_aux._main.equations._eqn_1 0.000091 s: list.split_wrt_composition_aux.equations._eqn_1 0.000839 s: list.split_wrt_composition_aux._main.equations._eqn_2 0.000140 s: list.split_wrt_composition_aux.equations._eqn_2 0.000544 s: list.split_at._main.equations._eqn_3 0.000148 s: list.split_at.equations._eqn_3 0.000134 s: list.split_at._match_1.equations._eqn_1 0.002240 s: list.split_at_eq_take_drop 0.000155 s: list.split_wrt_composition_aux._match_1.equations._eqn_1 0.000879 s: list.split_wrt_composition_aux_cons 0.000155 s: list.take._main.equations._eqn_1 0.000082 s: list.take.equations._eqn_1 0.000488 s: nat.zero_min 0.000139 s: list.take._main.equations._eqn_2 0.000048 s: list.take.equations._eqn_2 0.000189 s: nat.min_zero 0.001661 s: nat.min_succ_succ 0.001634 s: list.length_take 0.001138 s: min_eq_left_iff 0.006183 s: list.map_length_split_wrt_composition_aux 0.000660 s: list.map_length_split_wrt_composition 0.000269 s: list.length_pos_of_mem_split_wrt_composition 0.022721 s: list.length_le_sum_of_one_le 0.005646 s: list.take_append_drop 0.006897 s: list.join_split_wrt_composition_aux 0.000149 s: list.join_split_wrt_composition 0.000293 s: list.mem_join_of_mem 0.001953 s: composition.gather._proof_1 0.001796 s: list.sum_join 0.003155 s: composition.gather._proof_2 0.000098 s: composition.gather 0.001973 s: list.length_split_wrt_composition_aux 0.000099 s: list.length_split_wrt_composition 0.000405 s: composition.length_gather 0.000737 s: composition.sigma_composition_aux._proof_1 0.001207 s: composition.sigma_composition_aux._proof_2 0.000166 s: composition.gather.equations._eqn_1 0.000400 s: composition.blocks_fun.equations._eqn_1 0.000976 s: list.nth_le_map 0.000254 s: list.nth_le_map' 0.002167 s: composition.sigma_composition_aux._proof_3 0.000576 s: composition.sigma_composition_aux 0.000294 s: list.nth_le_map_rev 0.000732 s: list.nth_le_of_eq 0.001892 s: composition.length_sigma_composition_aux 0.001354 s: fin.nat_add._proof_1 0.008294 s: fin.nat_add._proof_2 0.005057 s: fin.nat_add 0.004360 s: list.monotone_sum_take 0.000661 s: composition.size_up_to_of_length_le 0.000620 s: composition.size_up_to_length 0.010269 s: composition.embedding._proof_1 0.000328 s: composition.embedding 0.000319 s: list.drop_nil 0.003413 s: list.drop_add 0.000707 s: list.take_cons 0.013221 s: list.drop_take 0.017779 s: list.nth_le_split_wrt_composition_aux 0.002253 s: list.nth_le_split_wrt_composition 0.002431 s: list.nth_le_append_right_aux 0.000521 s: nat.sub.right_comm 0.015654 s: list.nth_le_append_right 0.037925 s: list.nth_le_drop 0.012130 s: list.nth_le_drop' 0.009008 s: list.nth_le_append 0.001334 s: list.nth_le_take 0.006346 s: list.nth_le_take' 0.014896 s: composition.blocks_fun_sigma_composition_aux 0.003286 s: dense.nonempty_iff 0.000664 s: dense_range.nonempty_iff 0.000431 s: dense_range.some._proof_1 0.000244 s: dense_range.some 0.000153 s: fin_enum.of_nodup_list._match_1 0.001194 s: fin_enum.of_nodup_list._match_1.equations._eqn_1 0.008206 s: category_theory.monad.assoc' 0.003431 s: category_theory.monad.assoc 0.005812 s: category_theory.monad.assoc_assoc 0.001068 s: _private.847195145.denumerable_aux._match_1.equations._eqn_1 0.000391 s: stream.mem_cons 0.000590 s: polynomial.splits 0.356726 s: polynomial.is_splitting_field 0.014016 s: finset.sum_fiberwise_le_sum_of_sum_fiber_nonneg 0.011461 s: finset.sum_le_sum_fiberwise_of_sum_fiber_nonpos 0.015910 s: finset.exists_le_sum_fiber_of_sum_fiber_nonpos_of_nsmul_le_sum 0.000177 s: order_dual.ordered_cancel_add_comm_monoid._proof_1 0.000179 s: order_dual.ordered_cancel_add_comm_monoid._proof_2 0.000125 s: order_dual.ordered_cancel_add_comm_monoid._proof_3 0.000087 s: order_dual.ordered_cancel_add_comm_monoid._proof_4 0.001108 s: order_dual.ordered_cancel_add_comm_monoid._proof_5 0.000784 s: order_dual.ordered_cancel_add_comm_monoid._proof_6 0.000160 s: order_dual.ordered_cancel_add_comm_monoid._proof_7 0.000097 s: order_dual.ordered_cancel_add_comm_monoid._proof_8 0.000092 s: order_dual.ordered_cancel_add_comm_monoid._proof_9 0.000294 s: order_dual.ordered_cancel_add_comm_monoid._proof_10 0.000441 s: order_dual.ordered_cancel_add_comm_monoid._proof_11 0.000897 s: order_dual.ordered_cancel_add_comm_monoid._proof_12 0.000196 s: order_dual.ordered_cancel_add_comm_monoid._proof_13 0.016799 s: order_dual.ordered_cancel_add_comm_monoid 0.000179 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_1 0.000116 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_2 0.000154 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_3 0.000077 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_4 0.001996 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_5 0.000337 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_6 0.000188 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_7 0.000181 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_8 0.000184 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_9 0.000408 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_10 0.000317 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_11 0.001050 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_12 0.000795 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_13 0.000275 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_14 0.013594 s: order_dual.linear_ordered_cancel_add_comm_monoid._proof_15 0.009600 s: order_dual.linear_ordered_cancel_add_comm_monoid 0.298093 s: finset.exists_sum_fiber_le_of_sum_fiber_nonneg_of_sum_le_nsmul 0.000093 s: list.keys 0.000088 s: list.nodupkeys 0.000542 s: alist 0.000232 s: list.kerase 0.000187 s: list.kinsert 0.000191 s: list.erase_dupkeys 0.000438 s: list.kinsert_def 0.000097 s: list.nodupkeys.equations._eqn_1 0.000143 s: list.keys.equations._eqn_1 0.002799 s: list.nodupkeys_cons 0.000258 s: list.kerase.equations._eqn_1 0.003012 s: list.erasep_map 0.001454 s: list.keys_kerase 0.000606 s: list.mem_erase_iff_of_nodup 0.000307 s: list.mem_erase_of_nodup 0.000193 s: list.nodupkeys_of_sublist 0.000244 s: list.kerase_sublist 0.000250 s: list.kerase_nodupkeys 0.002498 s: list.nodupkeys_erase_dupkeys 0.000238 s: list.to_alist._proof_1 0.000142 s: list.to_alist 0.000159 s: alist.entries 0.000344 s: list.kerase_nil 0.000266 s: list.keys_nil 0.000872 s: list.kerase_cons_eq 0.001144 s: list.kerase_cons_ne 0.000400 s: list.keys_cons 0.001767 s: list.not_mem_keys_kerase 0.000538 s: list.kinsert_nodupkeys 0.000273 s: alist.nodupkeys 0.000263 s: alist.insert._proof_1 0.000146 s: alist.insert 0.001410 s: alist.to_alist_cons 0.000019 s: bitvec 0.000017 s: list.as_string 0.000286 s: _private.3864469991.repr._main 0.020183 s: continuous_linear_map.fpower_series._main 0.002553 s: continuous_linear_map.fpower_series 0.006863 s: continuous_linear_map.fpower_series_apply_add_two 0.000226 s: equiv.perm.disjoint 0.001120 s: equiv.perm.disjoint_one_right 0.000204 s: equiv.perm.disjoint.equations._eqn_1 0.001231 s: equiv.perm.disjoint.symm 0.000063 s: equiv.perm.disjoint_comm 0.001594 s: equiv.perm.disjoint.mul_left 0.000362 s: equiv.perm.disjoint.mul_right 0.001499 s: equiv.perm.disjoint_prod_right 0.000554 s: category_theory.limits.has_colimits 0.003655 s: CommRing.colimits.prequotient 0.073826 s: CommRing.colimits.relation 0.000385 s: CommRing.colimits.colimit_setoid._proof_1 0.000234 s: CommRing.colimits.colimit_setoid 0.000106 s: CommRing.colimits.colimit_type 0.000347 s: CommRing.colimits.colimit_type.comm_ring._proof_1 0.002272 s: CommRing.colimits.colimit_type.comm_ring._proof_2 0.012108 s: CommRing.colimits.colimit_type.comm_ring._proof_3 0.005056 s: CommRing.colimits.colimit_type.comm_ring._proof_4 0.004024 s: CommRing.colimits.colimit_type.comm_ring._proof_5 0.004584 s: CommRing.colimits.colimit_type.comm_ring._proof_6 0.004195 s: CommRing.colimits.colimit_type.comm_ring._proof_7 0.010113 s: CommRing.colimits.colimit_type.comm_ring._proof_8 0.009158 s: CommRing.colimits.colimit_type.comm_ring._proof_9 0.000329 s: CommRing.colimits.colimit_type.comm_ring._proof_10 0.013366 s: CommRing.colimits.colimit_type.comm_ring._proof_11 0.004977 s: CommRing.colimits.colimit_type.comm_ring._proof_12 0.004754 s: CommRing.colimits.colimit_type.comm_ring._proof_13 0.009082 s: CommRing.colimits.colimit_type.comm_ring._proof_14 0.011055 s: CommRing.colimits.colimit_type.comm_ring._proof_15 0.057245 s: CommRing.colimits.colimit_type.comm_ring._proof_16 0.126897 s: CommRing.colimits.colimit_type.comm_ring._proof_17 0.070202 s: CommRing.colimits.colimit_type.comm_ring._proof_18 0.000585 s: CommRing.colimits.colimit_type.comm_ring._proof_19 0.004785 s: CommRing.colimits.colimit_type.comm_ring._proof_20 0.012358 s: CommRing.colimits.colimit_type.comm_ring._proof_21 0.005163 s: CommRing.colimits.colimit_type.comm_ring._proof_22 0.004549 s: CommRing.colimits.colimit_type.comm_ring._proof_23 0.004295 s: CommRing.colimits.colimit_type.comm_ring._proof_24 0.004498 s: CommRing.colimits.colimit_type.comm_ring._proof_25 0.010513 s: CommRing.colimits.colimit_type.comm_ring._proof_26 0.009964 s: CommRing.colimits.colimit_type.comm_ring._proof_27 0.020875 s: CommRing.colimits.colimit_type.comm_ring._proof_28 0.023073 s: CommRing.colimits.colimit_type.comm_ring._proof_29 0.054093 s: CommRing.colimits.colimit_type.comm_ring._proof_30 0.140972 s: CommRing.colimits.colimit_type.comm_ring 0.000166 s: CommRing.colimits.colimit 0.000335 s: CommRing.colimits.cocone_fun 0.008451 s: CommRing.colimits.cocone_morphism._proof_1 0.005970 s: CommRing.colimits.cocone_morphism._proof_2 0.004849 s: CommRing.colimits.cocone_morphism._proof_3 0.005393 s: CommRing.colimits.cocone_morphism._proof_4 0.005859 s: CommRing.colimits.cocone_morphism 0.003732 s: CommRing.colimits.cocone_naturality 0.003315 s: CommRing.colimits.colimit_cocone._proof_1 0.001183 s: CommRing.colimits.colimit_cocone 0.000508 s: CommRing.colimits.prequotient.below 0.002742 s: CommRing.colimits.prequotient.brec_on 0.001064 s: CommRing.colimits.prequotient.cases_on 0.005134 s: CommRing.colimits.desc_fun_lift._main 0.000240 s: CommRing.colimits.desc_fun_lift 0.011553 s: CommRing.colimits.relation.drec 0.006555 s: category_theory.limits.cocone.w_apply 0.094458 s: CommRing.colimits.desc_fun._proof_1 0.000567 s: CommRing.colimits.desc_fun 0.000763 s: CommRing.colimits.desc_morphism._proof_1 0.090996 s: CommRing.colimits.desc_morphism._proof_2 0.001012 s: CommRing.colimits.desc_morphism._proof_3 0.052150 s: CommRing.colimits.desc_morphism._proof_4 0.013114 s: CommRing.colimits.desc_morphism 0.007200 s: CommRing.colimits.colimit_is_colimit._proof_1 0.001272 s: CommRing.colimits.quot_zero 0.001281 s: CommRing.colimits.quot_one 0.001009 s: CommRing.colimits.quot_neg 0.000861 s: CommRing.colimits.quot_add 0.000825 s: CommRing.colimits.quot_mul 0.024388 s: CommRing.colimits.colimit_is_colimit._proof_2 0.001836 s: CommRing.colimits.colimit_is_colimit 0.000324 s: CommRing.colimits.has_colimits_CommRing 0.005939 s: continuous_linear_map.prod.equations._eqn_1 0.000025 s: Semigroup 0.000050 s: mul_hom.id._proof_1 0.000109 s: mul_hom.id 0.001597 s: mul_hom.comp._proof_1 0.000472 s: mul_hom.comp 0.000261 s: mul_hom.cases_on 0.001137 s: mul_hom.coe_inj 0.000118 s: Magma.bundled_hom._proof_1 0.000159 s: Magma.bundled_hom._proof_2 0.000882 s: Magma.bundled_hom 0.000068 s: Semigroup.semigroup.to_has_mul.category_theory.bundled_hom.parent_projection 0.000156 s: Semigroup.large_category 0.000029 s: with_one 0.000032 s: Semigroup.has_coe_to_sort 0.000052 s: with_one.has_one 0.000155 s: with_one.mul_one_class._proof_1 0.000075 s: with_one.mul_one_class._proof_2 0.000691 s: with_one.mul_one_class 0.000174 s: with_one.monoid._proof_1 0.000161 s: with_one.monoid._proof_2 0.000091 s: with_one.monoid._proof_3 0.000061 s: with_one.monoid._proof_4 0.000058 s: with_one.monoid._proof_5 0.000199 s: with_one.monoid._proof_6 0.000158 s: with_one.monoid._proof_7 0.002168 s: with_one.monoid 0.000176 s: Semigroup.semigroup 0.000292 s: with_one.lift._proof_1 0.000041 s: with_one.has_coe_t 0.000199 s: with_one.cases_on 0.002064 s: with_one.lift._proof_2 0.000196 s: monoid_hom.to_mul_hom 0.000077 s: with_one.coe_mul_hom._proof_1 0.000299 s: with_one.coe_mul_hom 0.000330 s: mul_hom.ext 0.004710 s: with_one.lift._proof_3 0.004835 s: with_one.lift._proof_4 0.003067 s: with_one.lift 0.000444 s: with_one.map 0.001987 s: with_one.map_id 0.000377 s: adjoin_one._proof_1 0.005494 s: with_one.map_comp 0.000892 s: adjoin_one._proof_2 0.013061 s: adjoin_one 0.000230 s: Semigroup.concrete_category 0.000048 s: Semigroup.of 0.002864 s: has_forget_to_Semigroup._proof_1 0.001701 s: has_forget_to_Semigroup._proof_2 0.006370 s: has_forget_to_Semigroup._proof_3 0.008586 s: has_forget_to_Semigroup 0.007812 s: adjoin_one_map 0.000479 s: with_one.map.equations._eqn_1 0.001489 s: with_one.lift_coe 0.000901 s: mul_hom.coe_comp 0.000381 s: with_one.coe_mul_hom_apply 0.023458 s: adjoin_one_adj._proof_1 0.005885 s: adjoin_one_adj._proof_2 0.009777 s: adjoin_one_adj 0.000656 s: is_alg_closed 0.001691 s: mv_polynomial.vanishing_ideal._proof_1 0.022319 s: mv_polynomial.vanishing_ideal._proof_2 0.015512 s: mv_polynomial.vanishing_ideal._proof_3 0.030264 s: mv_polynomial.vanishing_ideal 0.003830 s: mv_polynomial.zero_locus 0.011028 s: ideal.radical._proof_1 0.020165 s: ideal.radical._match_1 0.002459 s: ideal.radical._match_2 0.001693 s: ideal.radical._proof_2 0.006697 s: ideal.radical._match_3 0.001074 s: ideal.radical._proof_3 0.000817 s: ideal.radical 0.000312 s: ideal.jacobson 0.000345 s: ideal.is_jacobson 0.001256 s: ideal.le_radical 0.003064 s: ideal.is_prime.mem_of_pow_mem 0.005651 s: ideal.is_prime.radical_le_iff 0.000200 s: ideal.is_jacobson.out' 0.000302 s: ideal.is_jacobson_iff 0.000186 s: ideal.is_jacobson.out 0.002511 s: ideal.radical_idem 0.004281 s: ideal.mem_Inf 0.001525 s: ideal.jacobson_mono 0.012906 s: ideal.radical_eq_jacobson 0.000531 s: le_is_glb_iff 0.000325 s: le_Inf_iff 0.002566 s: ideal.le_jacobson 0.014529 s: ideal.eq_jacobson_iff_Inf_maximal 0.007941 s: ideal.is_prime.radical 0.001391 s: ideal.radical_top 0.009162 s: zorn.zorn_partial_order₀ 0.039784 s: ideal.radical_eq_Inf 0.008104 s: ideal.is_jacobson_iff_prime_eq 0.000966 s: ideal.is_jacobson_iff_Inf_maximal 0.000430 s: ideal.map 0.042374 s: ideal.comap._proof_1 0.048998 s: ideal.comap._proof_2 0.020705 s: ideal.comap._proof_3 0.013215 s: ideal.comap 0.001489 s: order_iso.injective 0.007065 s: ideal.comap_mono 0.007770 s: ideal.rel_iso_of_surjective._proof_1 0.005079 s: ideal.map_le_iff_le_comap 0.004823 s: ideal.mem_map_of_mem 0.003108 s: ideal.map_comap_of_surjective 0.000317 s: ideal.rel_iso_of_surjective._proof_2 0.026069 s: ideal.mem_image_of_mem_map_of_surjective 0.050593 s: ideal.comap_map_of_surjective 0.033574 s: ideal.rel_iso_of_surjective._proof_3 0.000600 s: ideal.span_mono 0.005623 s: ideal.map_mono 0.039501 s: ideal.rel_iso_of_surjective._proof_4 0.009565 s: ideal.rel_iso_of_surjective 0.001814 s: ideal.le_map_of_comap_le_of_surjective 0.000832 s: ideal.gc_map_comap 0.017396 s: ideal.comap_top 0.030738 s: ideal.map_eq_top_or_is_maximal_of_surjective 0.020706 s: ideal.comap_radical 0.000300 s: ring_hom.ker 0.005478 s: ideal.mem_map_iff_of_surjective 0.000409 s: Inf_le_of_le 0.003808 s: submodule.mem_Inf 0.000457 s: ring_hom.ker.equations._eqn_1 0.001756 s: ideal.mem_comap 0.003342 s: ring_hom.mem_ker 0.049052 s: ideal.map_Inf 0.016776 s: ideal.ker_le_comap 0.004790 s: ideal.is_jacobson_of_surjective 0.000775 s: ring_equiv.surjective 0.008279 s: ideal.is_jacobson_iso 0.000762 s: polynomial.coe_eval₂_ring_hom 0.001443 s: subring.copy._proof_1 0.001535 s: subring.copy._proof_2 0.001201 s: subring.copy._proof_3 0.001342 s: subring.copy._proof_4 0.000660 s: subring.copy._proof_5 0.001043 s: subring.copy 0.000340 s: ring_hom.range._proof_1 0.001301 s: ring_hom.range 0.003308 s: ring_hom.cod_restrict'._proof_1 0.005472 s: ring_hom.cod_restrict'._proof_2 0.005872 s: ring_hom.cod_restrict'._proof_3 0.005202 s: ring_hom.cod_restrict'._proof_4 0.001736 s: ring_hom.cod_restrict' 0.000394 s: ring_hom.range_restrict._proof_1 0.000820 s: ring_hom.range_restrict 0.000448 s: polynomial.map_ring_hom._proof_1 0.000276 s: polynomial.map_ring_hom._proof_2 0.000377 s: polynomial.map_ring_hom._proof_3 0.000394 s: polynomial.map_ring_hom._proof_4 0.004944 s: polynomial.map_ring_hom 0.004894 s: polynomial.induction_on' 0.003764 s: polynomial.eval₂_monomial 0.002809 s: polynomial.map_monomial 0.002190 s: polynomial.map_surjective 0.000610 s: ring_hom.mem_range 0.001862 s: ring_hom.range_restrict_surjective 0.000742 s: ideal.jacobson.equations._eqn_1 0.001486 s: ideal.le_comap_of_map_le 0.021459 s: ideal.comap_ne_top 0.025738 s: ideal.comap_is_maximal_of_surjective 0.012350 s: Inf_le_Inf_of_subset_insert_top 0.000059 s: Exists.rec_on 0.015439 s: ideal.map_jacobson_of_surjective 0.092311 s: ideal.polynomial_mem_ideal_of_coeff_mem_ideal 0.032888 s: ideal.map_quotient_self 0.003538 s: submodule.quotient.mk_surjective 0.000399 s: ideal.ext 0.004250 s: ideal.mk_ker 0.000515 s: ring_hom.ker_eq_comap_bot 0.001319 s: galois_connection.u_Inf 0.023830 s: ideal.comap_Inf 0.006096 s: ideal.comap_Inf' 0.029830 s: ideal.comap_jacobson_of_surjective 0.023326 s: ideal.jacobson_eq_iff_jacobson_quotient_eq_bot 0.031140 s: ideal.quotient.lift._proof_1 0.000412 s: ideal.quotient.lift._proof_2 0.041334 s: ideal.quotient.lift._proof_3 0.000360 s: ideal.quotient.lift._proof_4 0.047362 s: ideal.quotient.lift._proof_5 0.027557 s: ideal.quotient.lift 0.050219 s: ideal.quotient_map_C_eq_zero 0.011279 s: polynomial.sum_monomial_eq 0.001413 s: polynomial.coeff_zero 0.070354 s: ideal.mem_map_C_iff 0.091281 s: ideal.eval₂_C_mk_eq_zero 0.032122 s: ideal.quotient.mk_eq_mk 0.008731 s: finsupp.sum_smul_index 0.006290 s: polynomial.eval₂_smul 0.003169 s: ideal.quotient.lift_mk 0.003691 s: polynomial.eval₂_X_pow 0.004023 s: polynomial.C_mul' 0.120595 s: ideal.polynomial_quotient_equiv_quotient_polynomial._proof_1 0.185359 s: ideal.polynomial_quotient_equiv_quotient_polynomial._proof_2 0.073753 s: ideal.polynomial_quotient_equiv_quotient_polynomial._proof_3 0.070554 s: ideal.polynomial_quotient_equiv_quotient_polynomial._proof_4 0.084754 s: ideal.polynomial_quotient_equiv_quotient_polynomial 0.023753 s: ideal.map_bot 0.000085 s: is_add_subgroup.trivial 0.000061 s: is_add_group_hom.ker 0.011122 s: ring_hom.ker_eq 0.000306 s: is_add_subgroup.mem_trivial 0.000298 s: is_add_group_hom.map_zero 0.000464 s: is_add_group_hom.mem_ker 0.002112 s: is_add_group_hom.trivial_ker_of_injective 0.000108 s: is_add_group_hom.ker.equations._eqn_1 0.000133 s: is_add_subgroup.trivial.equations._eqn_1 0.000937 s: is_add_group_hom.map_neg 0.000842 s: is_add_group_hom.neg_ker_zero 0.001726 s: is_add_group_hom.injective_of_trivial_ker 0.000204 s: is_add_group_hom.injective_iff_trivial_ker 0.003132 s: ring_hom.is_add_group_hom 0.011383 s: ring_hom.injective_iff_ker_eq_bot 0.006380 s: ideal.map_jacobson_of_bijective 0.000757 s: ring_equiv.bijective 0.001363 s: ideal.mem_bot 0.004673 s: polynomial.coeff_one_zero 0.000697 s: polynomial.coeff_X_one 0.000533 s: polynomial.eq_C_of_degree_eq_zero 0.006544 s: polynomial.nat_degree_mul 0.057507 s: polynomial.degree_eq_zero_of_is_unit 0.000739 s: is_coatomic 0.000241 s: is_coatomic.eq_top_or_exists_le_coatom 0.000156 s: subtype.semilattice_sup._proof_1 0.000117 s: subtype.semilattice_sup._proof_2 0.000190 s: subtype.semilattice_sup._proof_3 0.006915 s: subtype.semilattice_sup._proof_4 0.000330 s: subtype.semilattice_sup._proof_5 0.000238 s: subtype.semilattice_sup._proof_6 0.000207 s: subtype.semilattice_sup._proof_7 0.003540 s: subtype.semilattice_sup._proof_8 0.005995 s: subtype.semilattice_sup 0.000856 s: set.Iic.semilattice_sup._proof_1 0.000579 s: set.Iic.semilattice_sup 0.000116 s: subtype.semilattice_inf._proof_1 0.000103 s: subtype.semilattice_inf._proof_2 0.000208 s: subtype.semilattice_inf._proof_3 0.000482 s: subtype.semilattice_inf._proof_4 0.000321 s: subtype.semilattice_inf._proof_5 0.000189 s: subtype.semilattice_inf._proof_6 0.000197 s: subtype.semilattice_inf._proof_7 0.002046 s: subtype.semilattice_inf._proof_8 0.004274 s: subtype.semilattice_inf 0.000665 s: set.Iic.semilattice_inf._proof_1 0.000449 s: set.Iic.semilattice_inf 0.000223 s: set.Iic.lattice._proof_1 0.000327 s: set.Iic.lattice._proof_2 0.000545 s: set.Iic.lattice._proof_3 0.000497 s: set.Iic.lattice._proof_4 0.000515 s: set.Iic.lattice._proof_5 0.000391 s: set.Iic.lattice._proof_6 0.000591 s: set.Iic.lattice._proof_7 0.000389 s: set.Iic.lattice._proof_8 0.000356 s: set.Iic.lattice._proof_9 0.000522 s: set.Iic.lattice._proof_10 0.011286 s: set.Iic.lattice 0.000060 s: set.Iic.order_top._proof_1 0.000222 s: set.Iic.order_top._proof_2 0.000316 s: set.Iic.order_top._proof_3 0.000818 s: set.Iic.order_top._proof_4 0.000627 s: set.Iic.order_top._proof_5 0.000383 s: set.Iic.order_top._proof_6 0.003482 s: set.Iic.order_top 0.000269 s: set.Iic.bounded_lattice._proof_1 0.000331 s: set.Iic.bounded_lattice._proof_2 0.000592 s: set.Iic.bounded_lattice._proof_3 0.000615 s: set.Iic.bounded_lattice._proof_4 0.000747 s: set.Iic.bounded_lattice._proof_5 0.000543 s: set.Iic.bounded_lattice._proof_6 0.000774 s: set.Iic.bounded_lattice._proof_7 0.000439 s: set.Iic.bounded_lattice._proof_8 0.000497 s: set.Iic.bounded_lattice._proof_9 0.000937 s: set.Iic.bounded_lattice._proof_10 0.000712 s: set.Iic.bounded_lattice._proof_11 0.000810 s: set.Iic.order_bot._proof_1 0.000533 s: set.Iic.order_bot._proof_2 0.000594 s: set.Iic.order_bot._proof_3 0.000630 s: set.Iic.order_bot._proof_4 0.004476 s: set.Iic.order_bot._match_1 0.000896 s: set.Iic.order_bot._proof_5 0.001595 s: set.Iic.order_bot 0.000611 s: set.Iic.bounded_lattice._proof_12 0.023630 s: set.Iic.bounded_lattice 0.000195 s: is_atom 0.000613 s: is_atomic 0.000244 s: is_atomic.eq_bot_or_exists_atom_le 0.009720 s: is_atomic_dual_iff_is_coatomic 0.000389 s: is_atomic.dcases_on 0.001754 s: equiv.forall_congr 0.001706 s: rel_iso.coe_fn_to_equiv 0.003484 s: order_iso.apply_eq_iff_eq_symm_apply 0.001332 s: order_iso.map_bot' 0.000519 s: order_iso.map_bot 0.005770 s: order_iso.is_atom_iff 0.004800 s: order_iso.is_atomic_iff 0.000376 s: order_iso.dual._proof_1 0.002294 s: order_iso.dual 0.008384 s: order_iso.is_coatomic_iff 0.000701 s: equiv.subtype_univ_equiv._proof_1 0.000134 s: equiv.subtype_univ_equiv._proof_2 0.000507 s: equiv.subtype_univ_equiv 0.000097 s: order_iso.Iic_top._proof_1 0.000800 s: order_iso.Iic_top._proof_2 0.000568 s: order_iso.Iic_top._proof_3 0.002870 s: order_iso.Iic_top._proof_4 0.004531 s: order_iso.Iic_top 0.000897 s: set.Iic.coe_top 0.000655 s: eq_iff_le_not_lt 0.005152 s: complete_lattice.is_compact_element.directed_Sup_lt_of_lt 0.045482 s: complete_lattice.Iic_coatomic_of_compact_element 0.022340 s: complete_lattice.coatomic_of_top_compact 0.006267 s: ideal.is_coatomic 0.011888 s: ideal.exists_le_maximal 0.003524 s: neg_add_eq_sub 0.046886 s: ideal.mem_jacobson_iff 0.030090 s: ideal.mem_jacobson_bot 0.227460 s: ideal.jacobson_bot_polynomial_le_Inf_map_maximal 0.069622 s: ideal.jacobson_bot_polynomial_of_jacobson_bot 0.024412 s: ideal.radical_bot_of_integral_domain 0.008554 s: submodule.nonzero_mem_of_bot_lt 0.001092 s: submodule.coe_mem 0.001440 s: submodule.coe_eq_zero 0.001334 s: is_add_group_hom.injective_iff 0.000634 s: is_ring_hom.map_mul 0.002870 s: is_ring_hom.is_semiring_hom 0.011857 s: is_ring_hom.is_add_group_hom 0.027671 s: polynomial.map.is_ring_hom 0.004470 s: polynomial.map_injective 0.096534 s: ideal.exists_nonzero_mem_of_ne_bot 0.000381 s: monoid_hom.mrange._proof_1 0.001058 s: monoid_hom.mrange 0.013015 s: submonoid.powers._proof_1 0.000309 s: submonoid.powers 0.000247 s: ring_hom.is_integral_elem 0.000142 s: ring_hom.is_integral 0.001131 s: units.coe_lift_right 0.001111 s: is_unit.coe_lift_right 0.000600 s: units.inv_mul_eq_iff_eq_mul 0.005696 s: submonoid.localization_map.mul_inv_left 0.002335 s: submonoid.localization_map.eq_iff_exists 0.001496 s: units.mul_lift_right_inv 0.001333 s: is_unit.mul_lift_right_inv 0.005287 s: submonoid.localization_map.eq_of_eq 0.001535 s: submonoid.localization_map.sec_spec 0.005020 s: submonoid.localization_map.lift._proof_1 0.004509 s: submonoid.localization_map.mul_inv_right 0.002332 s: submonoid.localization_map.sec_spec' 0.010065 s: submonoid.localization_map.lift._proof_2 0.004045 s: submonoid.localization_map.lift 0.002051 s: submonoid.localization_map.lift_spec 0.005581 s: submonoid.localization_map.lift_spec_mul 0.012212 s: localization_map.eq_of_eq 0.008832 s: localization_map.sec_spec' 0.064092 s: localization_map.lift._proof_1 0.021696 s: localization_map.lift 0.003778 s: localization_map.map._proof_1 0.003460 s: localization_map.map 0.003042 s: submonoid.mem_map_of_mem 0.000040 s: or.rec_on 0.004591 s: le_non_zero_divisors_of_domain 0.005642 s: map_le_non_zero_divisors_of_injective 0.030714 s: powers_le_non_zero_divisors_of_domain 0.012610 s: algebra.is_integral 0.020964 s: ideal.comap_eq_top_iff 0.008876 s: ideal.jacobson_top 0.011142 s: is_integral 0.001746 s: polynomial.eval₂_ring_hom'._proof_1 0.000325 s: polynomial.eval₂_ring_hom'._proof_2 0.005139 s: polynomial.eval₂_ring_hom' 0.000309 s: polynomial.aeval._proof_1 0.000893 s: polynomial.aeval._proof_2 0.001159 s: polynomial.aeval._proof_3 0.000738 s: polynomial.aeval._proof_4 0.000599 s: polynomial.aeval._proof_5 0.000562 s: polynomial.aeval._proof_6 0.013170 s: polynomial.aeval 0.010493 s: is_algebraic 0.000481 s: polynomial.div_X 0.000402 s: polynomial.div_X.equations._eqn_1 0.012866 s: polynomial.coeff_div_X 0.010818 s: polynomial.div_X_mul_X_add 0.001179 s: polynomial.coeff_mul_X_zero 0.001873 s: polynomial.monomial_zero_right 0.003675 s: polynomial.div_X_C 0.000476 s: with_bot.coe_one 0.000605 s: polynomial.leading_coeff_X 0.010105 s: polynomial.degree_lt_degree_mul_X 0.003377 s: polynomial.zero_le_degree_iff 0.002324 s: polynomial.div_X_eq_zero_iff 0.000499 s: polynomial.degree_le_zero_iff 0.051414 s: polynomial.degree_div_X_lt 0.012046 s: polynomial.rec_on_horner._main._pack 0.000663 s: polynomial.rec_on_horner._main 0.000438 s: polynomial.rec_on_horner 0.021706 s: ideal.add_mem_iff_right 0.018014 s: ideal.coeff_zero_mem_comap_of_root_mem_of_eval_mem 0.010358 s: ideal.coeff_zero_mem_comap_of_root_mem 0.017225 s: ideal.exists_coeff_ne_zero_mem_comap_of_non_zero_divisor_root_mem 0.097808 s: ideal.exists_coeff_ne_zero_mem_comap_of_root_mem 0.085173 s: ideal.comap_ne_bot_of_root_mem 0.089042 s: ideal.comap_ne_bot_of_algebraic_mem 0.019358 s: is_integral.is_algebraic 0.047252 s: ideal.comap_ne_bot_of_integral_mem 0.108917 s: ideal.eq_bot_of_comap_eq_bot 0.012800 s: ideal.quotient_map._proof_1 0.001423 s: ideal.quotient_map 0.016735 s: ideal.quotient_algebra._proof_1 0.041152 s: ideal.quotient_algebra 0.009420 s: polynomial.monic_map 0.005372 s: polynomial.eval₂_map 0.003890 s: polynomial.hom_eval₂ 0.037607 s: ring_hom.is_integral_quotient_of_is_integral 0.024264 s: is_integral_quotient_of_is_integral 0.024621 s: ideal.comap_is_prime 0.007259 s: ideal.comap_jacobson 0.000441 s: algebra.algebra_map_submonoid 0.048891 s: localization_map.integral_domain_localization 0.009788 s: subsingleton_of_top_le_bot 0.000172 s: subsingleton_of_bot_eq_top 0.000200 s: bot_ne_top 0.000227 s: add_submonoid.ext 0.001005 s: add_submonoid.subsingleton_iff 0.000224 s: subsingleton_iff_bot_eq_top 0.001571 s: submodule.to_add_submonoid_injective 0.000240 s: submodule.to_add_submonoid_eq 0.004458 s: submodule.subsingleton_iff 0.000271 s: submodule.nontrivial_iff 0.000160 s: submodule.nontrivial 0.003357 s: ideal.exists_maximal 0.000333 s: zero_mem_nonunits 0.000253 s: local_ring.maximal_ideal._proof_1 0.000938 s: is_unit_of_mul_is_unit_left 0.000628 s: is_unit_of_mul_is_unit_right 0.000188 s: mul_mem_nonunits_right 0.011088 s: local_ring.nonunits_add 0.000178 s: local_ring.maximal_ideal._proof_2 0.000125 s: local_ring.maximal_ideal._proof_3 0.010644 s: local_ring.maximal_ideal 0.000153 s: localization_map.at_prime 0.000194 s: localization_map.codomain 0.000150 s: localization_map.codomain.comm_ring 0.004758 s: local_of_nonunits_ideal 0.005673 s: submonoid.localization_map.mk'_spec 0.005403 s: submonoid.localization_map.eq_mk'_iff_mul_eq 0.008480 s: localization_map.eq_mk'_iff_mul_eq 0.002378 s: localization_map.mk'_surjective 0.001432 s: submonoid.localization_map.mk'_eq_iff_eq_mul 0.002717 s: submonoid.localization_map.mk'.equations._eqn_1 0.005980 s: submonoid.localization_map.mk'_eq_iff_eq 0.001652 s: submonoid.localization_map.eq 0.005513 s: localization_map.eq 0.003724 s: submonoid.localization_map.mk'_self' 0.001314 s: submonoid.localization_map.mk'_self 0.007083 s: localization_map.mk'_self 0.009786 s: submonoid.localization_map.mk'_mul 0.006468 s: localization_map.mk'_mul 0.008876 s: localization_map.mk'_eq_iff_eq_mul 0.005455 s: submonoid.localization_map.mk'_one 0.001642 s: submonoid.localization_map.mul_mk'_eq_mk'_of_mul 0.007978 s: localization_map.mul_mk'_eq_mk'_of_mul 0.046446 s: localization_map.mk'_add 0.008480 s: localization_map.mk'_mul_mk'_eq_one 0.001150 s: localization_map.mk'_mul_mk'_eq_one' 0.000735 s: ideal.is_prime.mem_or_mem_of_mul_eq_zero 0.043788 s: localization_map.at_prime.local_ring 0.031753 s: localization.at_prime.local_ring 0.016739 s: ideal.comap_comap 0.006468 s: algebra.mem_algebra_map_submonoid_of_mem 0.034172 s: localization_algebra._proof_1 0.059189 s: localization_algebra 0.013926 s: local_ring.maximal_ideal.is_maximal 0.006325 s: ideal.is_maximal.eq_of_le 0.001418 s: is_unit_iff_exists_inv' 0.004958 s: ideal.eq_top_of_is_unit_mem 0.005376 s: local_ring.maximal_ideal_unique 0.000158 s: local_ring.eq_maximal_ideal 0.000813 s: is_field 0.000289 s: is_field.exists_pair_ne 0.000784 s: is_field.mul_inv_cancel 0.018689 s: ideal.quotient.maximal_of_is_field 0.000207 s: polynomial.monic.coeff_nat_degree 0.006496 s: polynomial.sum_over_range 0.009079 s: polynomial.as_sum_range 0.004662 s: polynomial.eval₂_finset_sum 0.001819 s: polynomial.eval₂_eq_sum_range 0.184818 s: is_field_of_is_integral_of_is_field 0.039672 s: ideal.algebra_map_quotient_injective 0.050109 s: field.to_is_field 0.037820 s: ideal.quotient.maximal_ideal_iff_is_field_quotient 0.164947 s: ideal.is_maximal_comap_of_is_integral_of_is_maximal 0.013310 s: scale_roots 0.002440 s: scale_roots.equations._eqn_1 0.007621 s: coeff_scale_roots 0.002273 s: zero_scale_roots 0.001960 s: support_scale_roots_le 0.002557 s: coeff_scale_roots_nat_degree 0.011432 s: degree_scale_roots 0.001086 s: nat_degree_scale_roots 0.000963 s: monic_scale_roots_iff 0.000658 s: polynomial.eval₂_eq_sum 0.029793 s: scale_roots_eval₂_eq_zero 0.007049 s: ring_hom.is_integral_of_is_integral_mul_unit 0.009433 s: is_integral_of_is_integral_mul_unit 0.000498 s: monoid_hom.ext_iff 0.003771 s: submonoid.localization_map.lift_eq 0.002356 s: submonoid.localization_map.lift_comp 0.015341 s: localization_map.lift_comp 0.008769 s: localization_map.map_comp 0.002529 s: polynomial.monic_mul_C_of_leading_coeff_mul_eq_one 0.000636 s: polynomial.nat_degree_map_of_leading_coeff_ne_zero 0.001571 s: polynomial.leading_coeff_map_of_leading_coeff_ne_zero 0.001731 s: polynomial.eval₂_mul_eq_zero_of_left 0.035095 s: ring_hom.is_integral_elem_localization_at_leading_coeff 0.059201 s: is_integral_localization_at_leading_coeff 0.089486 s: is_integral_localization 0.018795 s: localization_map.mk'_spec 0.013046 s: localization_map.map_comap 0.001418 s: localization_map.order_embedding._proof_1 0.002640 s: localization_map.order_embedding._proof_2 0.001522 s: localization_map.order_embedding 0.009755 s: localization_map.mk'_mem_iff 0.071408 s: localization_map.is_prime_iff_is_prime_disjoint 0.009698 s: ideal.le_comap_map 0.001014 s: local_ring.mem_maximal_ideal 0.000117 s: mem_nonunits_iff 0.009730 s: _private.4264900695.to_map_ideal._proof_1 0.036490 s: _private.4264900695.to_map_ideal._proof_2 0.041239 s: _private.4264900695.to_map_ideal._proof_3 0.007459 s: _private.4264900695.to_map_ideal 0.006051 s: ideal.unit_mul_mem_iff_mem 0.014958 s: localization_map.mem_map_to_map_iff 0.038390 s: localization_map.comap_map_of_is_prime_disjoint 0.006234 s: localization_map.is_prime_of_is_prime_disjoint 0.000165 s: disjoint_compl_left 0.036046 s: localization.at_prime.map_eq_maximal_ideal 0.031446 s: localization.at_prime.comap_maximal_ideal 0.272661 s: ideal.exists_ideal_over_prime_of_is_integral' 0.008901 s: ideal.mem_quotient_iff_mem 0.166849 s: ideal.exists_coeff_mem_comap_sdiff_comap_of_root_mem_sdiff 0.090145 s: ideal.comap_lt_comap_of_root_mem_sdiff 0.009263 s: ring_hom.codomain_trivial_iff_map_one_eq_zero 0.002195 s: ring_hom.map_one_ne_zero 0.006591 s: polynomial.map_monic_eq_zero_iff 0.000771 s: polynomial.map_monic_ne_zero 0.105813 s: ideal.comap_lt_comap_of_integral_mem_sdiff 0.117506 s: ideal.is_maximal_of_is_integral_of_is_maximal_comap 0.096931 s: ideal.exists_ideal_over_maximal_of_is_integral 0.029482 s: ideal.comap_bot_le_of_injective 0.117138 s: ideal.is_jacobson_of_is_integral 0.032518 s: ideal.is_jacobson_of_is_integral' 0.002678 s: localization_map.away_map 0.000617 s: submonoid.mem_powers 0.003255 s: ideal.mem_radical_of_pow_mem 0.011104 s: ideal.disjoint_powers_iff_not_mem 0.001240 s: ideal.is_maximal.ne_top 0.016856 s: ideal.map_top 0.062077 s: ideal.is_maximal_iff_is_maximal_disjoint 0.016802 s: ideal.is_maximal_of_is_maximal_disjoint 0.030473 s: ideal.is_jacobson_localization 0.071464 s: ideal.eq_bot_or_top 0.043202 s: ideal.bot_is_maximal 0.069713 s: ideal.bot_quotient_is_maximal_iff 0.124838 s: ideal.is_maximal_of_is_integral_of_is_maximal_comap' 0.001418 s: polynomial.eval_monomial 0.011960 s: polynomial.eval₂_eq_eval_map 0.006607 s: polynomial.eval₂_hom 0.041056 s: is_integral_tower_bot_of_is_integral 0.012052 s: is_scalar_tower.of_algebra_map_eq 0.038602 s: ring_hom.is_integral_tower_bot_of_is_integral 0.012116 s: ideal.quotient_map_mk 0.005686 s: ideal.quotient_map_injective' 0.001422 s: ideal.quotient_map_injective 0.044534 s: ideal.comp_quotient_map_eq_of_comp_eq 0.000374 s: finsupp.frange 0.004607 s: subalgebra.to_submodule._proof_1 0.002429 s: subalgebra.to_submodule._proof_2 0.005464 s: subalgebra.to_submodule._proof_3 0.005527 s: subalgebra.to_submodule 0.002726 s: add_group.in_closure 0.000078 s: add_group.closure 0.001270 s: monoid.in_closure 0.000074 s: monoid.closure 0.000105 s: ring.closure 0.000702 s: subring.subtype._proof_1 0.000478 s: subring.subtype._proof_2 0.000655 s: add_subgroup.subtype._proof_1 0.001378 s: add_subgroup.subtype._proof_2 0.004725 s: add_subgroup.subtype 0.000681 s: subring.subtype._proof_3 0.000760 s: subring.subtype._proof_4 0.028470 s: subring.subtype 0.024479 s: algebra.of_subring._proof_1 0.023866 s: algebra.of_subring._proof_2 0.026062 s: algebra.of_subring._proof_3 0.024953 s: algebra.of_subring._proof_4 0.003508 s: algebra.of_subring._proof_5 0.003202 s: algebra.of_subring._proof_6 0.030091 s: algebra.of_subring 0.000295 s: set.to_subring._proof_1 0.000373 s: set.to_subring._proof_2 0.000168 s: set.to_subring._proof_3 0.000262 s: set.to_subring._proof_4 0.000227 s: set.to_subring._proof_5 0.012959 s: set.to_subring 0.304902 s: algebra.of_is_subring 0.014447 s: polynomial.aeval_def 0.006460 s: is_scalar_tower.aeval_apply 0.031595 s: is_integral_of_is_scalar_tower 0.161352 s: is_scalar_tower.subring 0.013386 s: is_integral_of_subring 0.000562 s: add_group.closure.is_add_subgroup 0.000139 s: add_group.mem_closure 0.000347 s: monoid.closure.is_submonoid 0.001087 s: add_group.in_closure.rec_on 0.000228 s: add_group.subset_closure 0.005104 s: ring.closure.is_subring 0.000356 s: subtype.comm_ring 0.000350 s: subalgebra.to_subring._proof_1 0.000281 s: subalgebra.to_subring._proof_2 0.000239 s: subalgebra.to_subring._proof_3 0.000299 s: subalgebra.to_subring._proof_4 0.014897 s: subalgebra.neg_mem 0.000576 s: subalgebra.to_subring._proof_5 0.001979 s: subalgebra.to_subring 0.002642 s: subalgebra.to_ring 0.007366 s: polynomial.degree_le 0.005810 s: polynomial.degree_le.equations._eqn_1 0.010368 s: polynomial.degree_le_iff_coeff_zero 0.009273 s: polynomial.mem_degree_le 0.006104 s: polynomial.degree_le_mono 0.002366 s: submodule.mem_map_of_mem 0.005529 s: polynomial.monic_X_pow_sub 0.105488 s: is_integral_of_noetherian 0.010793 s: subalgebra.val._proof_1 0.002932 s: subalgebra.val._proof_2 0.001790 s: subalgebra.val._proof_3 0.000939 s: subalgebra.val._proof_4 0.001563 s: subalgebra.val._proof_5 0.013288 s: subalgebra.val 0.001883 s: alg_hom.map_sum 0.001302 s: alg_hom.map_pow 0.001449 s: subalgebra.val_apply 0.084042 s: is_integral_of_submodule_noetherian 0.000425 s: algebra_int._proof_1 0.024795 s: algebra_int 0.003360 s: subring.sub_mem 0.009042 s: subalgebra_of_subring._proof_1 0.000546 s: subalgebra_of_subring 0.000156 s: subalgebra_of_is_subring 0.003141 s: algebra.adjoin_le 0.000246 s: monoid.subset_closure 0.000271 s: ring.mem_closure 0.000139 s: ring.subset_closure 0.001177 s: add_group.in_closure.drec 0.000544 s: is_add_subgroup.neg_mem_iff 0.001059 s: add_group.closure_subset 0.000668 s: monoid.in_closure.drec 0.000722 s: monoid.closure_subset 0.000313 s: ring.closure_subset 0.001877 s: subsemiring.zero_mem 0.001290 s: subalgebra.zero_mem 0.003190 s: subsemiring.add_mem 0.001876 s: subalgebra.add_mem 0.003076 s: subalgebra.is_add_submonoid 0.000621 s: subalgebra.one_mem 0.002770 s: subalgebra.is_submonoid 0.010522 s: subalgebra.is_subring 0.002146 s: algebra.subset_adjoin 0.003905 s: algebra.adjoin_int 0.020403 s: algebra.adjoin_eq_range 0.000223 s: order_embedding.well_founded 0.000583 s: subtype.rel_embedding._proof_1 0.000982 s: subtype.rel_embedding 0.006408 s: ideal.order_embedding_of_surjective 0.050408 s: is_noetherian_ring_of_surjective 0.071855 s: is_noetherian_ring_range 0.012942 s: alg_hom.is_noetherian_ring_range 0.005783 s: is_noetherian_ring_of_ring_equiv 0.026447 s: mv_polynomial.is_noetherian_ring_fin_0 0.022994 s: ideal.of_polynomial._proof_1 0.017357 s: ideal.of_polynomial._proof_2 0.050074 s: ideal.of_polynomial._proof_3 0.044680 s: ideal.of_polynomial 0.029087 s: ideal.degree_le 0.028145 s: ideal.leading_coeff_nth 0.005758 s: submodule.map_subtype_le 0.024466 s: is_noetherian_submodule 0.012249 s: is_noetherian_submodule_left 0.039832 s: polynomial.degree_le_eq_span_X_pow 0.028784 s: ideal.is_fg_degree_le 0.022002 s: ideal.leading_coeff_nth.equations._eqn_1 0.025696 s: ideal.degree_le.equations._eqn_1 0.005136 s: polynomial.lcoeff_apply 0.098876 s: ideal.mem_leading_coeff_nth 0.089999 s: ideal.leading_coeff_nth_mono 0.147482 s: polynomial.is_noetherian_ring 0.097840 s: mv_polynomial.is_noetherian_ring_fin 0.058834 s: mv_polynomial.is_noetherian_ring 0.052102 s: is_noetherian_ring_of_fg 0.009160 s: subalgebra.fg_def 0.459449 s: is_noetherian_ring_closure 0.000431 s: set.mem_mul 0.004569 s: finsupp.mem_frange 0.003789 s: subsemiring.closure_induction 0.013754 s: algebra.mem_adjoin_iff 0.001388 s: subalgebra.mem_to_submodule 0.001781 s: subsemiring.sum_mem 0.001486 s: subalgebra.sum_mem 0.230428 s: is_integral_of_mem_of_fg 0.016408 s: subalgebra.to_comm_semiring 0.001022 s: algebra.of_subsemiring._proof_1 0.002291 s: algebra.of_subsemiring._proof_2 0.002485 s: algebra.of_subsemiring._proof_3 0.001061 s: algebra.of_subsemiring._proof_4 0.000722 s: algebra.of_subsemiring._proof_5 0.001122 s: algebra.of_subsemiring._proof_6 0.015080 s: algebra.of_subsemiring 0.002928 s: subalgebra.to_algebra 0.000296 s: set.finite.mul 0.001400 s: subalgebra.to_submodule.is_subring 0.003217 s: algebra.adjoin_mono 0.001063 s: subalgebra.under._proof_1 0.001347 s: subalgebra.under._proof_2 0.000627 s: subalgebra.under._proof_3 0.000982 s: subalgebra.under._proof_4 0.001726 s: subalgebra.under._proof_5 0.004378 s: subalgebra.under 0.000367 s: subsemiring.closure_mono 0.000199 s: set.union_subset_union_left 0.012157 s: algebra.adjoin_union 0.082881 s: algebra.fg_trans 0.029379 s: algebra.adjoin_empty 0.027146 s: submodule.one_eq_map_top 0.000853 s: submonoid.closure 0.004210 s: add_submonoid.closure_induction 0.003164 s: submonoid.subsemiring_closure._proof_1 0.005237 s: submonoid.mul_right_mem_add_closure 0.005032 s: submonoid.mul_mem_add_closure 0.000696 s: submonoid.subsemiring_closure._proof_2 0.000311 s: submonoid.subsemiring_closure._proof_3 0.000314 s: submonoid.subsemiring_closure._proof_4 0.005484 s: submonoid.subsemiring_closure 0.001030 s: submonoid.subsemiring_closure_to_add_submonoid 0.000270 s: subsemiring.ext 0.005711 s: submonoid.subsemiring_closure_eq_closure 0.002420 s: submonoid.mem_Inf 0.000507 s: submonoid.mem_closure 0.001852 s: submonoid.subset_closure 0.004023 s: subsemiring.closure_submonoid_closure 0.001251 s: subsemiring.coe_closure_eq 0.003731 s: subsemiring.mem_closure_iff 0.000758 s: list.forall_mem_singleton 0.000496 s: list.map_singleton 0.000902 s: list.sum_singleton 0.005298 s: submonoid.complete_lattice._proof_1 0.005413 s: submonoid.complete_lattice._proof_2 0.005677 s: submonoid.complete_lattice._proof_3 0.004033 s: submonoid.complete_lattice._proof_4 0.004137 s: submonoid.complete_lattice._proof_5 0.005640 s: submonoid.complete_lattice._proof_6 0.004558 s: submonoid.complete_lattice._proof_7 0.004595 s: submonoid.complete_lattice._proof_8 0.000159 s: submonoid.complete_lattice._proof_9 0.000158 s: submonoid.complete_lattice._proof_10 0.009866 s: submonoid.complete_lattice._proof_11 0.000771 s: submonoid.mem_top 0.000196 s: submonoid.complete_lattice._proof_12 0.000508 s: submonoid.complete_lattice._proof_13 0.007310 s: submonoid.complete_lattice._proof_14 0.005594 s: submonoid.complete_lattice._proof_15 0.004193 s: submonoid.complete_lattice._proof_16 0.004777 s: submonoid.complete_lattice._proof_17 0.013199 s: submonoid.complete_lattice 0.041408 s: submonoid.closure_le 0.006339 s: submonoid.closure_induction 0.003770 s: subsemiring.list_sum_mem 0.004547 s: submonoid.list_prod_mem 0.002522 s: subsemiring.list_prod_mem 0.014430 s: subsemiring.mem_closure_iff_exists_list 0.029024 s: algebra.adjoin_eq_span 0.000396 s: submonoid.gi._proof_1 0.000369 s: submonoid.gi._proof_2 0.000142 s: submonoid.gi._proof_3 0.007720 s: submonoid.gi 0.039977 s: submonoid.closure_union 0.007183 s: monoid_hom.has_mul._proof_1 0.005444 s: monoid_hom.has_mul._proof_2 0.000717 s: monoid_hom.has_mul 0.000323 s: monoid_hom.fst._proof_1 0.000139 s: monoid_hom.fst._proof_2 0.000955 s: monoid_hom.fst 0.000434 s: monoid_hom.coprod 0.000274 s: submonoid.ext 0.000925 s: monoid_hom.mem_mrange 0.001624 s: submonoid.mem_map 0.001257 s: monoid_hom.mrange_eq_map 0.000107 s: monoid_hom.inr._proof_1 0.000804 s: monoid_hom.inr._proof_2 0.000450 s: monoid_hom.inr 0.003025 s: submonoid.map_inl 0.001076 s: submonoid.mrange_inl 0.003589 s: submonoid.map_inr 0.000705 s: submonoid.mrange_inr 0.004087 s: submonoid.prod_mono 0.001297 s: prod.fst_mul_snd 0.094266 s: submonoid.prod_bot_sup_bot_prod 0.017680 s: submonoid.mem_prod 0.002718 s: submonoid.mem_comap 0.001935 s: submonoid.top_prod 0.010032 s: submonoid.map_le_iff_le_comap 0.000379 s: submonoid.gc_map_comap 0.065278 s: submonoid.comap_top 0.000889 s: submonoid.top_prod_top 0.012331 s: submonoid.mrange_inl_sup_mrange_inr 0.067267 s: submonoid.map_sup 0.000322 s: set.image_image 0.013204 s: submonoid.map_map 0.003234 s: monoid_hom.map_mrange 0.000992 s: monoid_hom.coe_comp 0.002119 s: monoid_hom.coprod_apply 0.002361 s: monoid_hom.coprod_comp_inl 0.000597 s: monoid_hom.inr_apply 0.002244 s: monoid_hom.coprod_comp_inr 0.000799 s: monoid_hom.coe_mrange 0.001932 s: submonoid.range_subtype 0.002271 s: submonoid.sup_eq_range 0.000600 s: submonoid.coe_subtype 0.004463 s: submonoid.mem_sup 0.007138 s: algebra.adjoin_union_coe_submodule 0.030247 s: submodule.fg_mul 0.005928 s: is_submonoid.pow_mem 0.018055 s: algebra.adjoin_singleton_eq_range 0.005464 s: polynomial.degree_mod_by_monic_le 0.062849 s: fg_adjoin_singleton_of_integral 0.082501 s: fg_adjoin_of_finite 0.000446 s: is_scalar_tower.to_alg_hom._proof_1 0.000299 s: is_scalar_tower.to_alg_hom._proof_2 0.000319 s: is_scalar_tower.to_alg_hom._proof_3 0.000339 s: is_scalar_tower.to_alg_hom._proof_4 0.011338 s: is_scalar_tower.to_alg_hom._proof_5 0.004954 s: is_scalar_tower.to_alg_hom 0.000987 s: alg_hom.ext_iff 0.016297 s: polynomial.eval_unique 0.001499 s: polynomial.aeval_X 0.004111 s: polynomial.aeval_alg_hom 0.012882 s: polynomial.aeval_alg_hom_apply 0.012869 s: is_integral_alg_hom 0.002782 s: subalgebra.to_comm_ring 0.001726 s: polynomial.as_sum_range_C_mul_X_pow 0.002159 s: is_add_submonoid.list_sum_mem 0.001788 s: is_add_submonoid.multiset_sum_mem 0.001812 s: is_add_submonoid.finset_sum_mem 0.001433 s: image.is_add_submonoid 0.000977 s: univ.is_add_submonoid 0.000345 s: range.is_add_submonoid 0.003108 s: polynomial.mem_map_range 0.000316 s: polynomial.degree_map' 0.000340 s: polynomial.nat_degree_map' 0.000798 s: polynomial.leading_coeff_of_injective 0.000858 s: polynomial.monic_of_injective 0.000974 s: polynomial.eval_map 0.183862 s: is_integral_trans_aux 0.064909 s: is_integral_trans 0.010177 s: algebra.is_integral_trans 0.035779 s: ring_hom.is_integral_trans 0.012545 s: polynomial.eval₂_at_apply 0.003484 s: ring_hom.is_integral_map 0.000593 s: ring_hom.is_integral_of_surjective 0.001148 s: submonoid.localization_map.mul_mk'_one_eq_mk' 0.006588 s: localization_map.mk'_eq_mul_mk'_one 0.086163 s: localization_map.surjective_quotient_map_of_maximal_of_localization 0.079106 s: ideal.is_maximal_comap_of_is_integral_of_is_maximal' 0.040960 s: ideal.bot_prime 0.351256 s: ideal.polynomial.jacobson_bot_of_integral_localization 0.022725 s: ideal.is_jacobson_quotient 0.003900 s: subring.complete_lattice._proof_1 0.006110 s: subring.complete_lattice._proof_2 0.005788 s: subring.complete_lattice._proof_3 0.005209 s: subring.complete_lattice._proof_4 0.004448 s: subring.complete_lattice._proof_5 0.006814 s: subring.complete_lattice._proof_6 0.005489 s: subring.complete_lattice._proof_7 0.006754 s: subring.complete_lattice._proof_8 0.000281 s: subring.has_inf._proof_1 0.000369 s: subring.has_inf._proof_2 0.000202 s: subring.has_inf._proof_3 0.000369 s: subring.has_inf._proof_4 0.000201 s: subring.has_inf._proof_5 0.008979 s: subring.has_inf 0.000163 s: subring.complete_lattice._proof_9 0.000122 s: subring.complete_lattice._proof_10 0.008141 s: subring.complete_lattice._proof_11 0.000125 s: subring.complete_lattice._proof_12 0.000117 s: subring.has_bot 0.001775 s: gsmul_coe_nat 0.002552 s: gsmul_neg_succ_of_nat 0.002529 s: gsmul_one 0.012580 s: add_subgroup.gsmul_mem 0.001729 s: subring.gsmul_mem 0.003668 s: subring.coe_int_mem 0.000892 s: subring.complete_lattice._match_1 0.001669 s: subring.mem_bot 0.000697 s: subring.complete_lattice._proof_13 0.007352 s: subring.complete_lattice._proof_14 0.008130 s: subring.complete_lattice._proof_15 0.007580 s: subring.complete_lattice._proof_16 0.006587 s: subring.complete_lattice._proof_17 0.017463 s: subring.complete_lattice 0.016543 s: subring.closure_le 0.005828 s: subring.closure_induction 0.000845 s: ring_hom.is_integral_zero 0.010086 s: is_integral_zero 0.001546 s: ring_hom.is_integral_one 0.007284 s: is_integral_one 0.000193 s: ring.closure_mono 0.032626 s: ring_hom.is_integral_of_mem_closure 0.005965 s: ring_hom.is_integral_add 0.011970 s: is_integral_add 0.001104 s: ring_hom.is_integral_neg 0.008565 s: is_integral_neg 0.002206 s: ring_hom.is_integral_mul 0.008671 s: is_integral_mul 0.001571 s: is_integral_of_mem_closure' 0.021270 s: is_integral_of_mem_closure'' 0.005376 s: polynomial.eval₂_C_X 0.274556 s: ideal.polynomial.is_integral_localization_map_polynomial_quotient 0.441342 s: _private.1845523657.is_jacobson_polynomial_of_domain 0.076727 s: subring.integral_domain._proof_1 0.079734 s: subring.integral_domain._proof_2 0.079885 s: subring.integral_domain._proof_3 0.081538 s: subring.integral_domain._proof_4 0.079025 s: subring.integral_domain._proof_5 0.080053 s: subring.integral_domain._proof_6 0.079927 s: subring.integral_domain._proof_7 0.076864 s: subring.integral_domain._proof_8 0.076564 s: subring.integral_domain._proof_9 0.076343 s: subring.integral_domain._proof_10 0.081733 s: subring.integral_domain._proof_11 0.083247 s: subring.integral_domain._proof_12 0.080136 s: subring.integral_domain._proof_13 0.083211 s: subring.integral_domain._proof_14 0.079946 s: subring.integral_domain._proof_15 0.095880 s: subring.integral_domain._proof_16 0.003450 s: subsemiring.nontrivial 0.001216 s: subring.nontrivial 0.000236 s: subring.integral_domain._proof_17 0.021690 s: subsemiring.no_zero_divisors 0.038871 s: subring.no_zero_divisors 0.000737 s: subring.integral_domain._proof_18 0.100495 s: subring.integral_domain 0.084550 s: ideal.map_is_prime_of_surjective 0.017021 s: subring.coe_zero 0.002686 s: ring_hom.coe_range_restrict 0.000684 s: polynomial.coe_map_ring_hom 0.231238 s: ideal.eq_zero_of_polynomial_mem_map_range 0.566054 s: ideal.polynomial.is_jacobson_polynomial_of_is_jacobson 0.055958 s: ideal.polynomial.is_jacobson_polynomial_iff_is_jacobson 0.093561 s: ideal.mv_polynomial.is_jacobson_mv_polynomial_fin 0.075255 s: ideal.mv_polynomial.mv_polynomial.ideal.is_jacobson 0.024610 s: ideal.jacobson_eq_top_iff 0.016429 s: ideal.is_jacobson_field 0.000047 s: function.has_right_inverse 0.000164 s: function.surjective.has_right_inverse 0.023445 s: mv_polynomial.C_1 0.187339 s: mv_polynomial.quotient_mk_comp_C_injective 0.000311 s: minpoly._proof_1 0.035680 s: minpoly 0.002482 s: polynomial.aeval_C 0.001290 s: polynomial.aeval_add 0.008571 s: minpoly.monic 0.011153 s: polynomial.eq_X_add_C_of_degree_le_one 0.002935 s: polynomial.eq_X_add_C_of_degree_eq_one 0.000446 s: polynomial.ext_iff 0.000918 s: polynomial.map_id 0.001676 s: polynomial.degree_eq_one_of_irreducible_of_splits 0.000680 s: polynomial.splits.equations._eqn_1 0.001827 s: polynomial.map_eq_zero 0.001784 s: polynomial.map_map 0.002338 s: polynomial.splits_map_iff 0.000269 s: is_alg_closed.splits 0.001121 s: is_alg_closed.splits_codomain 0.000453 s: is_alg_closed.degree_eq_one_of_irreducible 0.000425 s: minpoly.ne_zero 0.000166 s: irreducible.is_unit_or_is_unit' 0.000238 s: irreducible_iff 0.002314 s: irreducible_or_factor 0.002748 s: polynomial.nat_degree_pos_iff_degree_pos 0.000170 s: polynomial.degree_le_of_nat_degree_le 0.000398 s: polynomial.eq_C_of_nat_degree_le_zero 0.000632 s: polynomial.eq_C_of_nat_degree_eq_zero 0.000669 s: polynomial.aeval_zero 0.020917 s: minpoly.aeval 0.026758 s: minpoly.nat_degree_pos 0.004008 s: minpoly.degree_pos 0.000220 s: not_is_unit_zero 0.090903 s: minpoly.not_is_unit 0.010688 s: polynomial.aeval_mul 0.000154 s: dvd_not_unit 0.029482 s: minpoly.min 0.150167 s: minpoly.aeval_ne_zero_of_dvd_not_unit_minpoly 0.173786 s: minpoly.irreducible 0.272017 s: is_alg_closed.algebra_map_surjective_of_is_integral 0.213168 s: is_alg_closed.algebra_map_surjective_of_is_integral' 0.000504 s: function.surjective.comp 0.000596 s: alg_equiv.to_equiv 0.000994 s: alg_equiv.surjective 0.023658 s: mv_polynomial.C_surjective 0.000417 s: mv_polynomial.C_surjective_fin_0 0.000342 s: alg_equiv.has_coe_to_alg_hom 0.000840 s: alg_equiv.injective 0.006793 s: alg_equiv.apply_symm_apply 0.002968 s: fin_succ_equiv_zero 0.000919 s: equiv.option_equiv_sum_punit_none 0.000790 s: equiv.sum_comm_apply 0.000394 s: sum.swap._main.equations._eqn_2 0.000209 s: sum.swap.equations._eqn_2 0.012142 s: fin.pred_inj 0.007400 s: fin.pred_above_above 0.000494 s: fin.pred_succ 0.005004 s: fin_succ_equiv'_above 0.002515 s: fin_succ_equiv_succ 0.000391 s: equiv.option_equiv_sum_punit_some 0.000170 s: sum.swap._main.equations._eqn_1 0.000074 s: sum.swap.equations._eqn_1 0.072012 s: mv_polynomial.fin_succ_equiv_eq 0.054656 s: mv_polynomial.fin_succ_equiv_apply 0.042309 s: mv_polynomial.fin_succ_equiv_comp_C_eq_C 0.012278 s: ideal.quotient_map_comp_mk 0.002089 s: ring_hom.is_integral_elem_of_is_integral_elem_comp 0.000535 s: ring_hom.is_integral_tower_top_of_is_integral 0.012037 s: is_integral_quotient_map_iff 0.159075 s: ideal.injective_quotient_le_comap_map 0.135277 s: ideal.quotient_mk_maps_eq 0.026190 s: ring.exists_not_is_unit_of_not_is_field 0.009987 s: submodule.span_eq_bot 0.001422 s: submodule.span_singleton_eq_bot 0.002068 s: ideal.span_singleton_eq_bot 0.000634 s: set.exists_of_ssubset 0.004305 s: set_like.exists_of_lt 0.026811 s: ring.not_is_field_iff_exists_ideal_bot_lt_and_lt_top 0.022887 s: ideal.bot_lt_of_maximal 0.003582 s: polynomial.X_ne_zero 0.002952 s: polynomial.degree_one 0.002090 s: nat.with_bot.coe_nonneg 0.007293 s: nat.with_bot.lt_zero_iff 0.036993 s: ideal.polynomial_not_is_field 0.089042 s: localization_map_bijective_of_field 0.019201 s: localization_map.mk'_eq_iff_eq 0.000696 s: set_like.coe_mk 0.002399 s: submonoid.localization_map.map._proof_1 0.004050 s: submonoid.localization_map.map 0.004134 s: submonoid.localization_map.map.equations._eqn_1 0.007200 s: submonoid.localization_map.mul_inv 0.007703 s: submonoid.localization_map.lift_mk' 0.002315 s: submonoid.localization_map.mk'_mul_cancel_right 0.002679 s: submonoid.localization_map.mk'_mul_cancel_left 0.013200 s: submonoid.localization_map.map_mk' 0.028067 s: localization_map.map_mk' 0.020870 s: map_injective_of_injective 0.003035 s: ideal.rel_iso_of_bijective._proof_1 0.002578 s: ideal.rel_iso_of_bijective._proof_2 0.001823 s: ideal.rel_iso_of_bijective._proof_3 0.004674 s: ideal.rel_iso_of_bijective 0.002986 s: ideal.map.is_maximal 0.815485 s: ideal.polynomial.is_maximal_comap_C_of_is_maximal 0.623652 s: _private.3913072703.quotient_mk_comp_C_is_integral_of_jacobson' 0.533839 s: ideal.polynomial.quotient_mk_comp_C_is_integral_of_jacobson 0.271716 s: ideal.polynomial.is_maximal_comap_C_of_is_jacobson 0.557929 s: ideal.mv_polynomial.quotient_mk_comp_C_is_integral_of_jacobson 0.410955 s: ideal.mv_polynomial.comp_C_integral_of_surjective_of_jacobson 0.014546 s: ideal.ring_equiv.bot_maximal_iff 0.002423 s: mv_polynomial.mem_vanishing_ideal_singleton_iff 0.121419 s: mv_polynomial.vanishing_ideal_singleton_is_maximal 0.000248 s: mv_polynomial.support 0.029392 s: mv_polynomial.support_sum_monomial_coeff 0.000456 s: mv_polynomial.as_sum 0.002313 s: mv_polynomial.eval₂_eq 0.001094 s: finsupp.prod_fintype 0.000501 s: finsupp.prod_pow 0.006470 s: mv_polynomial.eval₂_eq' 0.090709 s: mv_polynomial.map_mv_polynomial_eq_eval₂ 0.016621 s: mv_polynomial.eval_eq' 0.389952 s: mv_polynomial.is_maximal_iff_eq_vanishing_ideal_singleton 0.004133 s: mv_polynomial.vanishing_ideal_anti_mono 0.002921 s: mv_polynomial.le_vanishing_ideal_zero_locus 0.082258 s: mv_polynomial.vanishing_ideal_zero_locus_eq_radical 0.000298 s: mem_left_add_coset 0.000268 s: integral_closure._proof_1 0.000212 s: integral_closure._proof_2 0.032246 s: is_integral_algebra_map 0.000503 s: integral_closure._proof_3 0.007817 s: integral_closure 0.068425 s: subring.domain._proof_1 0.081405 s: subring.domain._proof_2 0.084725 s: subring.domain._proof_3 0.087790 s: subring.domain._proof_4 0.085436 s: subring.domain._proof_5 0.087885 s: subring.domain._proof_6 0.087223 s: subring.domain._proof_7 0.088029 s: subring.domain._proof_8 0.080744 s: subring.domain._proof_9 0.083273 s: subring.domain._proof_10 0.082978 s: subring.domain._proof_11 0.081092 s: subring.domain._proof_12 0.084377 s: subring.domain._proof_14 0.083871 s: subring.domain._proof_15 0.081630 s: subring.domain._proof_16 0.016623 s: subring.domain._proof_17 0.082096 s: subring.domain._match_1 0.085163 s: subring.domain._match_2 0.053755 s: subring.domain._proof_18 0.048922 s: subring.domain 0.000463 s: subalgebra.integral_domain._proof_1 0.001576 s: subalgebra.integral_domain 0.082588 s: integral_closure.integral_domain 0.795058 s: integral_closure.fraction_map_of_algebraic._match_3 0.000790 s: is_least_Ici 0.000371 s: cInf_Ici 0.004441 s: filter.limsup_const 0.004753 s: measure_theory.measure.measure_univ_eq_zero 0.003631 s: measure_theory.ae_eq_bot 0.000746 s: ess_sup_const 0.000674 s: measure_theory.snorm_ess_sup_const 0.063088 s: measure_theory.snorm'_const 0.081890 s: measure_theory.snorm_const 0.009921 s: setoid.prod._proof_1 0.000238 s: setoid.prod 0.000178 s: con.prod._proof_1 0.007069 s: con.prod._proof_2 0.000536 s: con.prod 0.000570 s: con.prod.equations._eqn_1 0.000210 s: measurable_singleton_class.drec_on 0.002723 s: multilinear_map.mk_pi_algebra_apply 0.000351 s: finset.prod_mk 0.001851 s: list.map_eq_nil 0.000217 s: finset.not_nonempty_empty 0.000187 s: finset.nonempty_cons 0.003282 s: finset.nonempty_mk_coe 0.007819 s: finset.norm_prod_le' 0.000087 s: finset.univ_nonempty 0.361377 s: continuous_multilinear_map.mk_pi_algebra._proof_1 0.119405 s: continuous_multilinear_map.mk_pi_algebra 0.000121 s: category_theory.zigzag.equations._eqn_1 0.007775 s: set.add_mem_Ioo_iff_right 0.019749 s: formal_multilinear_series.id._main 0.003921 s: formal_multilinear_series.id._main.equations._eqn_1 0.000146 s: io.error.sizeof 0.000080 s: io.error.other.sizeof_spec 0.002671 s: bilin_form 0.000654 s: bilin_form.bilin 0.000196 s: bilin_form.has_coe_to_fun 0.001014 s: bilin_form.bilin_smul_right 0.002264 s: bilin_form.semimodule._proof_4 0.000836 s: charted_space.cases_on 0.000354 s: charted_space.no_confusion_type 0.000489 s: charted_space.no_confusion 0.001050 s: charted_space.mk.inj 0.000372 s: metric.glue_dist._main 0.000064 s: metric.glue_dist 0.002860 s: _private.3868569023.glue_dist_comm 0.000178 s: metric.glue_premetric._proof_2 0.003590 s: shrinking_lemma.partial_refinement 0.000541 s: shrinking_lemma.partial_refinement.to_fun 0.006235 s: Module.colimits.prequotient 0.111308 s: Module.colimits.relation 0.000729 s: Module.colimits.colimit_setoid._proof_1 0.000349 s: Module.colimits.colimit_setoid 0.000122 s: Module.colimits.colimit_type 0.005041 s: Module.colimits.colimit_type.add_comm_group._proof_7 0.002700 s: category_theory.limits.bicone 0.000513 s: category_theory.limits.bicone.X 0.000829 s: category_theory.limits.bicone.π 0.006779 s: category_theory.limits.bicone.to_cone._proof_1 0.002332 s: category_theory.limits.bicone.to_cone 0.000979 s: category_theory.limits.bicone.ι 0.006450 s: category_theory.limits.bicone.to_cocone._proof_1 0.002095 s: category_theory.limits.bicone.to_cocone 0.002126 s: category_theory.limits.limit_bicone 0.000663 s: category_theory.limits.has_biproduct 0.000640 s: category_theory.limits.limit_bicone.bicone 0.000235 s: category_theory.limits.has_biproduct.exists_biproduct 0.000164 s: category_theory.limits.get_biproduct_data._proof_1 0.000213 s: category_theory.limits.get_biproduct_data 0.000313 s: category_theory.limits.biproduct.bicone 0.000181 s: category_theory.limits.biproduct 0.000367 s: category_theory.limits.biproduct.ι 0.000147 s: presented_group.group._proof_1 0.000161 s: presented_group.group 0.000057 s: presented_group.to_group._proof_1 0.002876 s: presented_group.closure_rels_subset_ker 0.001734 s: presented_group.to_group_eq_one_of_mem_closure 0.016901 s: presented_group.to_group 0.001801 s: ordnode.bounded._main 0.000042 s: ordnode.bounded 0.000698 s: ordnode.sized._main 0.000025 s: ordnode.sized 0.000067 s: ordnode.balanced_sz 0.000486 s: ordnode.balanced._main 0.000036 s: ordnode.balanced 0.002500 s: ordnode.valid' 0.002783 s: ordnode.bounded.weak_left 0.002897 s: ordnode.bounded.mono_left 0.001875 s: ordnode.bounded.to_lt 0.000704 s: ordnode.bounded.trans_left 0.000161 s: ordnode.valid'.ord 0.000071 s: ordnode.valid'.sz 0.000068 s: ordnode.valid'.bal 0.000473 s: ordnode.valid'.trans_left 0.000046 s: string.join 0.003545 s: tactic_doc._4177233122 0.000286 s: occurrences 0.000029 s: occurrences.inhabited 0.003387 s: list.diff_cons_right 0.000734 s: list.diff_erase 0.030809 s: localization_map.algebra 0.000411 s: localization_map.is_integer 0.043120 s: ring.is_fractional 0.065987 s: ring.fractional_ideal.fractional_of_subset_one 0.015292 s: measure_theory.measure.finite_spanning_sets_in 0.000408 s: measure_theory.sigma_finite 0.000173 s: measurable_space.pi 0.000319 s: measure_theory.pi_premeasure 0.000186 s: measure_theory.outer_measure.pi 0.000460 s: measurable_space.comap.equations._eqn_1 0.000287 s: measure_theory.pi_premeasure.equations._eqn_1 0.006080 s: set.image_inter_preimage 0.001385 s: set.image_diff_preimage 0.002657 s: measure_theory.measure.caratheodory 0.002336 s: set.diff_subset 0.049550 s: measure_theory.measure.pi_caratheodory 0.000425 s: measure_theory.measure.pi._proof_1 0.000417 s: measure_theory.measure.pi 0.000113 s: set.pi 0.001112 s: sdiff_eq 0.023691 s: top_sdiff 0.002139 s: set.compl_eq_univ_diff 0.000253 s: set.pi.equations._eqn_1 0.003712 s: set.union_pi 0.002082 s: set.singleton_pi 0.000398 s: set.singleton_pi' 0.001144 s: set.pi_congr 0.001012 s: set.pi_update_of_not_mem 0.002632 s: set.pi_update_of_mem 0.001744 s: set.univ_pi_update 0.000330 s: set.pi_univ 0.001793 s: set.univ_pi_update_univ 0.000636 s: measure_theory.measure.pi.equations._eqn_1 0.000384 s: set.mem_pi 0.002793 s: set.pi_def 0.002812 s: set.compl_bInter 0.001050 s: measurable_set.bInter 0.016111 s: measurable_pi_apply 0.004217 s: measurable_set.pi 0.000076 s: encodable.fintype.encodable 0.000482 s: measurable_set.pi_fintype 0.003326 s: set.eval_image_pi 0.000428 s: set.eval_image_univ_pi 0.001834 s: measure_theory.pi_premeasure_pi 0.034984 s: measure_theory.outer_measure.pi_pi_le 0.000100 s: list.tprod 0.000096 s: encodable.encode' 0.000128 s: order.preimage.decidable 0.001122 s: encodable.order.preimage.is_trans 0.002378 s: encodable.order.preimage.is_antisymm 0.000697 s: encodable.order.preimage.is_total 0.000404 s: encodable.sorted_univ 0.006663 s: tprod.measurable_space._main 0.000092 s: tprod.measurable_space 0.003302 s: list.tprod.elim._main 0.000141 s: list.tprod.elim 0.000151 s: list.tprod.elim' 0.000662 s: encodable.mem_sorted_univ 0.000612 s: measure_theory.measure.prod 0.007093 s: measure_theory.measure.tprod 0.001408 s: measure_theory.measure.pi' 0.001528 s: measure_theory.measure.pi'.equations._eqn_1 0.000297 s: measurable_space.pi.equations._eqn_1 0.035595 s: measurable_space.comap_supr 0.011762 s: measurable_space.comap_comp 0.016690 s: measurable_pi_iff 0.000487 s: measurable_pi_lambda 0.000718 s: list.tprod.elim._main._proof_1 0.005594 s: list.tprod.elim._main.equations._eqn_1 0.002073 s: list.tprod.elim.equations._eqn_1 0.002353 s: list.tprod.elim_self 0.003029 s: list.tprod.elim_of_ne 0.014607 s: measurable_tprod_elim 0.002149 s: measurable_tprod_elim' 0.001241 s: set.tprod._main 0.000060 s: set.tprod 0.001092 s: list.tprod.mk._main 0.000067 s: list.tprod.mk 0.000510 s: set.tprod._main.equations._eqn_1 0.000160 s: set.tprod.equations._eqn_1 0.001809 s: set.empty_pi 0.001254 s: set.tprod._main.equations._eqn_2 0.000936 s: set.tprod.equations._eqn_2 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measurable_space.dynkin_system.partial_order._proof_3 0.002335 s: measurable_space.dynkin_system.cases_on 0.001439 s: measurable_space.dynkin_system.ext 0.005133 s: measurable_space.dynkin_system.partial_order._proof_4 0.001655 s: measurable_space.dynkin_system.partial_order 0.000403 s: measurable_space.dynkin_system.restrict_on._proof_1 0.000379 s: measurable_space.dynkin_system.has_compl_iff 0.004000 s: measurable_space.dynkin_system.has_union 0.003637 s: measurable_space.dynkin_system.has_diff 0.002174 s: measurable_space.dynkin_system.restrict_on._proof_2 0.003816 s: measurable_space.dynkin_system.restrict_on._match_1 0.001816 s: measurable_space.dynkin_system.restrict_on._proof_3 0.000233 s: measurable_space.dynkin_system.restrict_on 0.002184 s: measurable_space.dynkin_system.generate_le 0.003682 s: measurable_space.dynkin_system.generate_inter 0.000187 s: measurable_space.dynkin_system.of_measurable_space._proof_1 0.000142 s: measurable_space.dynkin_system.of_measurable_space 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s: measure_theory.measure.prod_prod 0.000660 s: measure_theory.finite_measure.to_sigma_finite 0.000676 s: measure_theory.probability_measure 0.000178 s: measure_theory.probability_measure.measure_univ 0.000787 s: measure_theory.probability_measure.to_finite_measure 0.000109 s: measure_theory.measure.dirac.probability_measure 0.000223 s: measure_theory.measure.finite_spanning_sets_in.mono._proof_1 0.000367 s: measure_theory.measure.finite_spanning_sets_in.mono 0.000591 s: measure_theory.measure.finite_spanning_sets_in.prod._proof_1 0.000281 s: measure_theory.measure.finite_spanning_sets_in.sigma_finite 0.001400 s: measure_theory.measure.finite_spanning_sets_in.prod._proof_2 0.002563 s: set.Union_prod 0.000355 s: function.surjective.Union_comp 0.000191 s: nat.surjective_unpair 0.000932 s: set.Union_unpair_prod 0.000833 s: set.univ_prod_univ 0.001230 s: measure_theory.measure.finite_spanning_sets_in.prod._proof_3 0.001036 s: measure_theory.measure.finite_spanning_sets_in.prod 0.006028 s: measure_theory.measure.prod.sigma_finite 0.007672 s: measure_theory.measure.sigma_finite_tprod 0.008423 s: measurable_set.tprod 0.016780 s: measure_theory.measure.tprod_tprod 0.000111 s: list.to_finset 0.001542 s: list.to_finset_nil 0.000641 s: list.to_finset_val 0.002938 s: list.erase_dup_cons_of_mem' 0.000252 s: list.erase_dup_cons_of_mem 0.001680 s: list.mem_to_finset 0.000559 s: list.erase_dup_cons_of_not_mem' 0.000302 s: list.erase_dup_cons_of_not_mem 0.001577 s: multiset.erase_dup_cons_of_mem 0.001372 s: multiset.erase_dup_cons_of_not_mem 0.001396 s: multiset.erase_dup_cons 0.000678 s: finset.insert_val' 0.000416 s: multiset.coe_erase_dup 0.000196 s: list.pw_filter_idempotent 0.000334 s: list.erase_dup_idempotent 0.002357 s: list.to_finset_cons 0.002796 s: list.prod_to_finset 0.008330 s: measure_theory.measure.pi'_pi 0.000178 s: measure_theory.outer_measure.pi.equations._eqn_1 0.026684 s: measure_theory.outer_measure.le_bounded_by' 0.001074 s: set.subset_pi_eval_image 0.006478 s: set.mem_univ_pi 0.001818 s: set.univ_pi_nonempty_iff 0.003030 s: measure_theory.outer_measure.le_pi 0.000460 s: list.tprod.pi_equiv_tprod._proof_1 0.000293 s: list.tprod.pi_equiv_tprod._proof_2 0.000364 s: list.tprod.pi_equiv_tprod 0.007482 s: measurable_tprod_mk 0.000247 s: measurable_equiv.pi_measurable_equiv_tprod._proof_1 0.000573 s: measurable_equiv.pi_measurable_equiv_tprod._proof_2 0.001850 s: measurable_equiv.pi_measurable_equiv_tprod 0.000682 s: infi_and 0.003878 s: measure_theory.measure_eq_infi' 0.000714 s: measurable_equiv.coe_eq 0.008287 s: measure_theory.measure.le_map_apply 0.011900 s: measurable_equiv.map_apply 0.013591 s: ennreal.infi_mul 0.000215 s: nonempty_measurable_superset 0.002268 s: ennreal.mul_infi 0.016906 s: measure_theory.measure.prod_prod_le 0.015905 s: measure_theory.measure.tprod_tprod_le 0.009372 s: measure_theory.measure.pi'_pi_le 0.016620 s: measure_theory.measure.pi_pi 0.014951 s: measure_theory.measure.pi_eval_preimage_null 0.003133 s: measure_theory.measure.pi_hyperplane 0.018677 s: list.nth_le_pmap 0.000082 s: multiset.inf._proof_1 0.000080 s: multiset.inf._proof_2 0.000125 s: multiset.inf 0.000271 s: multiset.inf_zero 0.000258 s: multiset.inf_cons 0.006075 s: multiset.le_inf 0.000249 s: multiset.inf_le 0.000965 s: category_theory.is_reflexive_pair 0.000695 s: category_theory.limits.has_reflexive_coequalizers 0.002457 s: category_theory.regular_epi 0.005070 s: category_theory.lift_adjoint.other_map 0.000229 s: category_theory.limits.has_reflexive_coequalizers.has_coeq 0.000651 s: category_theory.is_reflexive_pair.mk' 0.021506 s: category_theory.lift_adjoint.other_map.category_theory.is_reflexive_pair 0.004665 s: category_theory.lift_adjoint.construct_left_adjoint_obj._proof_1 0.002067 s: category_theory.lift_adjoint.construct_left_adjoint_obj 0.002031 s: category_theory.limits.cofork.π_eq_app_one 0.004682 s: category_theory.limits.cofork.left_app_one_assoc 0.003313 s: category_theory.limits.cofork.right_app_one_assoc 0.004100 s: category_theory.limits.cofork.is_colimit.hom_iso._proof_1 0.002236 s: category_theory.limits.cofork.is_colimit.desc'._proof_1 0.002667 s: category_theory.limits.cofork.is_colimit.desc' 0.000446 s: category_theory.limits.cofork.is_colimit.hom_iso._proof_2 0.008315 s: category_theory.limits.cofork.is_colimit.hom_iso._proof_3 0.008709 s: category_theory.limits.cofork.is_colimit.hom_iso._proof_4 0.005870 s: category_theory.limits.cofork.is_colimit.hom_iso 0.006971 s: category_theory.lift_adjoint.other_map.equations._eqn_1 0.034708 s: category_theory.lift_adjoint.construct_left_adjoint_equiv._proof_1 0.005815 s: category_theory.adjunction.counit_naturality_assoc 0.015100 s: category_theory.lift_adjoint.construct_left_adjoint_equiv._proof_2 0.003152 s: category_theory.lift_adjoint.counit_coequalises._proof_1 0.003944 s: category_theory.limits.cofork.is_colimit.mk'._proof_1 0.004726 s: category_theory.limits.cofork.is_colimit.mk'._proof_2 0.005878 s: category_theory.limits.cofork.is_colimit.mk' 0.002612 s: category_theory.lift_adjoint.counit_coequalises._proof_2 0.000672 s: category_theory.regular_epi.W 0.000704 s: category_theory.regular_epi.left 0.000531 s: category_theory.regular_epi.right 0.001126 s: category_theory.regular_epi.w 0.001311 s: category_theory.regular_epi.is_colimit 0.003394 s: category_theory.regular_epi.desc' 0.003623 s: category_theory.limits.epi_of_is_colimit_parallel_pair 0.001430 s: category_theory.regular_epi.epi 0.024179 s: category_theory.lift_adjoint.counit_coequalises._proof_3 0.056763 s: category_theory.lift_adjoint.counit_coequalises._proof_4 0.017423 s: category_theory.lift_adjoint.counit_coequalises 0.013470 s: category_theory.lift_adjoint.construct_left_adjoint_equiv 0.013421 s: category_theory.lift_adjoint.construct_left_adjoint_equiv_apply 0.004948 s: category_theory.limits.cofork.is_colimit.hom_iso_natural 0.002161 s: equiv.subtype_equiv_apply 0.072869 s: category_theory.lift_adjoint.construct_left_adjoint._proof_1 0.000273 s: wf_dvd_monoid 0.000449 s: unique_factorization_monoid 0.004892 s: localization_map.exists_integer_multiple' 0.002618 s: localization_map.exists_integer_multiple 0.000128 s: wf_dvd_monoid.well_founded_dvd_not_unit 0.004304 s: wf_dvd_monoid.exists_irreducible_factor 0.003365 s: wf_dvd_monoid.induction_on_irreducible 0.000190 s: unique_factorization_monoid.to_wf_dvd_monoid 0.000184 s: unique_factorization_monoid.irreducible_iff_prime 0.000918 s: unique_factorization_monoid.induction_on_prime 0.000430 s: is_unit_of_dvd_unit 0.006928 s: left_dvd_or_dvd_right_of_dvd_prime_mul 0.010922 s: unique_factorization_monoid.exists_reduced_factors 0.002417 s: unique_factorization_monoid.exists_reduced_factors' 0.006794 s: mul_mem_non_zero_divisors 0.002775 s: localization_map.to_map_ne_zero_of_mem_non_zero_divisors 0.001645 s: fraction_map.to_map_ne_zero_of_mem_non_zero_divisors 0.002317 s: submonoid.localization_map.mk'_spec' 0.009385 s: localization_map.mk'_spec' 0.211331 s: fraction_map.exists_reduced_fraction 0.087449 s: fraction_map.denom._proof_1 0.046890 s: fraction_map.denom 0.000135 s: polynomial.comp 0.003602 s: pochhammer._main 0.000045 s: pochhammer 0.000417 s: polynomial.add_comp 0.003266 s: polynomial.monomial_comp 0.003529 s: polynomial.eval_comp 0.001469 s: pochhammer_zero 0.000484 s: polynomial.map_one 0.002355 s: pochhammer_succ_left 0.000359 s: polynomial.C_comp 0.000118 s: add_monoid_algebra.inhabited 0.000081 s: polynomial.inhabited 0.000111 s: polynomial.comp.equations._eqn_1 0.000385 s: polynomial.coeff_X 0.000882 s: polynomial.coeff_X_of_ne_one 0.003337 s: polynomial.eval₂_mul_X 0.008482 s: polynomial.map_comp 0.004118 s: pochhammer_map 0.012209 s: polynomial.map_nat_cast 0.003527 s: pochhammer._main.equations._eqn_2 0.000330 s: pochhammer.equations._eqn_2 0.001128 s: pochhammer._main.equations._eqn_1 0.000164 s: pochhammer.equations._eqn_1 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relation.refl_trans_gen.head_induction_on 0.001386 s: relation.refl_trans_gen.cases_head 0.000495 s: relation.refl_trans_gen.cases_head_iff 0.000861 s: relation.refl_trans_gen_iff_eq 0.000249 s: list.nil_eq_append_iff 0.001789 s: free_group.red.not_step_nil 0.000162 s: free_group.red.nil_iff 0.000029 s: relation.join 0.000501 s: free_group.red.step.cons 0.000292 s: free_group.red.step.cons_bnot 0.003525 s: free_group.red.step.cons_left_iff 0.001187 s: free_group.red.not_step_singleton 0.000129 s: free_group.red.singleton_iff 0.000267 s: relation.refl_gen 0.000351 s: relation.refl_gen.dcases_on 0.000240 s: relation.refl_trans_gen.trans 0.001764 s: relation.church_rosser 0.000087 s: free_group.red.step.to_red 0.023843 s: _private.3191010445.step.diamond_aux 0.004617 s: free_group.red.step.diamond 0.001308 s: free_group.red.church_rosser 0.000395 s: free_group.red.step.cons_bnot_rev 0.000717 s: relation.refl_trans_gen.trans_induction_on 0.000483 s: relation.refl_trans_gen_lift 0.000221 s: free_group.red.cons_cons 0.000793 s: free_group.red.cons_nil_iff_singleton 0.000101 s: free_group.red.trans 0.000779 s: free_group.red.decidable_rel._match_1 0.001681 s: free_group.red.cons_cons_iff 0.000452 s: free_group.red.decidable_rel._match_2 0.003814 s: list.append_eq_append_iff 0.001248 s: free_group.red.append_append_left_iff 0.000384 s: free_group.red.append_append 0.006390 s: free_group.red.to_append_iff 0.001863 s: list.append_eq_cons_iff 0.000520 s: list.cons_eq_append_iff 0.003932 s: free_group.red.red_iff_irreducible 0.002866 s: free_group.red.inv_of_red_of_ne 0.000629 s: free_group.red.decidable_rel._match_3 0.001481 s: free_group.red.decidable_rel._main 0.002041 s: free_group.red.decidable_rel._main.equations._eqn_3 0.000595 s: Algebra 0.002473 s: category_theory.equivalence.pow._main._pack.equations._eqn_4 0.000182 s: category_theory.equivalence.pow._main.equations._eqn_4 0.000090 s: triv_sq_zero_ext.add_comm_monoid 0.000090 s: triv_sq_zero_ext.add_monoid 0.000246 s: triv_sq_zero_ext.has_scalar 0.001282 s: triv_sq_zero_ext.mul_action._proof_1 0.001821 s: triv_sq_zero_ext.mul_action._proof_2 0.000307 s: triv_sq_zero_ext.mul_action 0.006742 s: triv_sq_zero_ext.distrib_mul_action._proof_1 0.003756 s: triv_sq_zero_ext.distrib_mul_action._proof_2 0.000813 s: triv_sq_zero_ext.distrib_mul_action 0.012616 s: triv_sq_zero_ext.semimodule._proof_1 0.011069 s: triv_sq_zero_ext.semimodule._proof_2 0.005530 s: triv_sq_zero_ext.semimodule 0.002195 s: alg_hom.restrict_domain 0.000094 s: complex.has_neg.equations._eqn_1 0.000167 s: pi.semilattice_sup._proof_1 0.000317 s: pi.semilattice_sup._proof_2 0.000561 s: pi.semilattice_sup._proof_3 0.000660 s: pi.semilattice_sup._proof_4 0.001022 s: pi.semilattice_sup._proof_5 0.001039 s: pi.semilattice_sup._proof_6 0.000845 s: pi.semilattice_sup._proof_7 0.001254 s: pi.semilattice_sup._proof_8 0.003521 s: pi.semilattice_sup._proof_9 0.003039 s: pi.semilattice_sup._proof_10 0.004131 s: pi.semilattice_sup._proof_11 0.008090 s: pi.semilattice_sup 0.000186 s: pi.lattice._proof_1 0.000216 s: pi.lattice._proof_2 0.000537 s: pi.lattice._proof_3 0.000409 s: pi.lattice._proof_4 0.000445 s: pi.lattice._proof_5 0.000544 s: pi.lattice._proof_6 0.000585 s: pi.lattice._proof_7 0.000165 s: pi.semilattice_inf._proof_1 0.000159 s: pi.semilattice_inf._proof_2 0.000200 s: pi.semilattice_inf._proof_3 0.000356 s: pi.semilattice_inf._proof_4 0.000614 s: pi.semilattice_inf._proof_5 0.000513 s: pi.semilattice_inf._proof_6 0.000576 s: pi.semilattice_inf._proof_7 0.000679 s: pi.semilattice_inf._proof_8 0.003837 s: pi.semilattice_inf._proof_9 0.003452 s: pi.semilattice_inf._proof_10 0.004274 s: pi.semilattice_inf._proof_11 0.007741 s: pi.semilattice_inf 0.000828 s: pi.lattice._proof_8 0.000706 s: pi.lattice._proof_9 0.001001 s: pi.lattice._proof_10 0.011251 s: pi.lattice 0.007233 s: pi.conditionally_complete_lattice._match_1 0.000081 s: AddCommGroup.has_coe_to_sort 0.003110 s: AddCommGroup.colimits.prequotient 0.000180 s: AddCommGroup.add_comm_group_instance 0.034351 s: AddCommGroup.colimits.relation 0.000356 s: AddCommGroup.colimits.colimit_setoid._proof_1 0.000212 s: AddCommGroup.colimits.colimit_setoid 0.000070 s: AddCommGroup.colimits.colimit_type 0.000448 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_1 0.003994 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_2 0.011772 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_3 0.004717 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_4 0.004338 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_5 0.004680 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_6 0.004084 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_7 0.008757 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_8 0.010636 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_9 0.000437 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_10 0.013971 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_11 0.004573 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_12 0.004621 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_13 0.010303 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_14 0.010310 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_15 0.049815 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_16 0.105201 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_17 0.060752 s: AddCommGroup.colimits.colimit_type.add_comm_group._proof_18 0.132259 s: AddCommGroup.colimits.colimit_type.add_comm_group 0.000162 s: AddCommGroup.colimits.colimit 0.000316 s: AddCommGroup.colimits.cocone_fun 0.005687 s: AddCommGroup.colimits.cocone_morphism._proof_1 0.001332 s: AddCommGroup.colimits.cocone_morphism._proof_2 0.004348 s: AddCommGroup.colimits.cocone_morphism 0.001653 s: AddCommGroup.ext 0.003086 s: AddCommGroup.colimits.cocone_naturality 0.000512 s: 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continuous_linear_map.smul_rightL._proof_10 0.000160 s: continuous_linear_map.smul_rightL._proof_11 0.017805 s: continuous_linear_map.smul_rightL._proof_12 0.027424 s: continuous_linear_map.smul_rightL._proof_13 0.006676 s: continuous_linear_map.smul_rightL._proof_14 0.000327 s: continuous_linear_map.smul_rightL._proof_15 0.014090 s: continuous_linear_map.smul_rightL._proof_16 0.021205 s: continuous_linear_map.smul_rightL._proof_17 0.000153 s: continuous_linear_map.smul_rightₗ._proof_1 0.000111 s: continuous_linear_map.smul_rightₗ._proof_2 0.000066 s: continuous_linear_map.smul_rightₗ._proof_3 0.000050 s: continuous_linear_map.smul_rightₗ._proof_4 0.028524 s: continuous_linear_map.smul_rightₗ._proof_5 0.025438 s: continuous_linear_map.smul_rightₗ._proof_6 0.018141 s: continuous_linear_map.smul_rightₗ 0.015393 s: continuous_linear_map.smul_rightL._proof_18 0.001381 s: continuous_linear_map.smul_rightL._proof_19 0.000102 s: continuous_linear_map.smul_rightL._proof_20 0.000417 s: continuous_linear_map.smul_rightL._proof_21 0.012221 s: continuous_linear_map.smul_rightL._proof_22 0.013185 s: continuous_linear_map.smul_rightL._proof_23 0.015498 s: continuous_linear_map.coe_smul_rightₗ 0.221827 s: continuous_linear_map.smul_rightL._proof_24 0.247928 s: continuous_linear_map.smul_rightL._proof_25 0.385430 s: continuous_linear_map.smul_rightL._proof_26 0.334481 s: continuous_linear_map.smul_rightL 0.314843 s: continuous_linear_map.smul_rightL.equations._eqn_1 0.000735 s: shelf_hom 0.000016 s: quandle.conj 0.000128 s: quandle.to_rack 0.005482 s: mul_gpow_self 0.002064 s: tactic.group.gpow_trick_one' 0.001967 s: mul_self_gpow 0.002345 s: tactic.group.gpow_trick_one 0.001140 s: gpow_one_add 0.012744 s: quandle.conj.quandle._proof_1 0.021953 s: quandle.conj.quandle._proof_2 0.025050 s: quandle.conj.quandle._proof_3 0.001116 s: mul_aut.conj_apply 0.039351 s: quandle.conj.quandle._proof_4 0.013526 s: quandle.conj.quandle 0.000970 s: quandle.conj_act_eq_conj 0.002671 s: quandle.conj.map._proof_1 0.000406 s: quandle.conj.map 0.001063 s: quandle.conj.map.equations._eqn_1 0.001363 s: approximates_linear_on 0.001421 s: approximates_linear_on.mono_set 0.000792 s: category_theory.limits.has_biproducts_of_shape 0.000409 s: category_theory.limits.has_finite_biproducts 0.001105 s: category_theory.limits.limit_bicone.is_colimit 0.000599 s: category_theory.limits.biproduct.is_colimit 0.000452 s: category_theory.limits.has_coproduct_of_has_biproduct 0.000220 s: category_theory.limits.has_biproducts_of_shape.has_biproduct 0.000191 s: category_theory.limits.has_finite_biproducts.has_biproducts_of_shape 0.000820 s: category_theory.discrete.nat_iso_functor 0.000464 s: category_theory.limits.has_finite_coproducts_of_has_finite_biproducts 0.000142 s: group.npow._default 0.000103 s: comm_group.npow._default 0.000105 s: linear_ordered_comm_group.npow._default 0.000408 s: list.kunion._main 0.000064 s: list.kunion 0.000704 s: list.kunion_cons 0.006214 s: 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bilin_form.semimodule._proof_7 0.043954 s: bilin_form.semimodule._proof_8 0.119071 s: bilin_form.semimodule._proof_9 0.107361 s: bilin_form.semimodule._proof_10 0.142043 s: bilin_form.semimodule 0.023758 s: bilin_form.to_lin_hom._proof_2 0.004505 s: bilin_form.to_lin_hom._proof_3 0.010336 s: bilin_form.to_lin_hom._proof_4 0.000474 s: bilin_form.to_lin_hom._proof_5 0.023701 s: bilin_form.to_lin_hom._proof_6 0.028914 s: bilin_form.to_lin_hom._proof_7 0.004030 s: bilin_form.add_apply 0.185267 s: bilin_form.to_lin_hom._proof_8 0.010319 s: bilin_form.smul_apply 0.139232 s: bilin_form.to_lin_hom._proof_9 0.039924 s: bilin_form.to_lin_hom 0.012994 s: bilin_form.to_lin'_apply 0.042482 s: linear_map.to_bilin_aux.equations._eqn_1 0.007071 s: bilin_form.coe_fn_mk 0.229441 s: bilin_form.to_lin._proof_8 0.000409 s: computability.encoding 0.000106 s: computability.encoding.Γ 0.000196 s: computability.fin_encoding 0.000735 s: turing.fin_tm2 0.000112 s: turing.fin_tm2.K 0.000198 s: turing.fin_tm2.Γ 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lie_subalgebra.map._proof_1 0.001196 s: lie_subalgebra.map._proof_2 0.001248 s: lie_subalgebra.map._proof_3 0.000383 s: lie_subalgebra.has_mem 0.002482 s: lie_subalgebra.lie_mem 0.008110 s: lie_subalgebra.map._proof_4 0.005603 s: lie_subalgebra.map 0.000584 s: lie_subalgebra.has_top._proof_1 0.000655 s: lie_subalgebra.has_top._proof_2 0.000735 s: lie_subalgebra.has_top._proof_3 0.000642 s: lie_subalgebra.has_top._proof_4 0.001409 s: lie_subalgebra.has_top 0.001183 s: lie_hom.ideal_range.equations._eqn_1 0.001039 s: lie_subalgebra.no_confusion_type 0.001492 s: lie_subalgebra.no_confusion 0.001877 s: lie_subalgebra.mk.inj 0.003691 s: lie_subalgebra.mk.inj_eq 0.003406 s: lie_subalgebra.ext 0.003333 s: lie_hom.mem_range 0.003781 s: lie_subalgebra.mem_map 0.000707 s: lie_subalgebra.mem_top 0.001652 s: lie_hom.range_eq_map 0.007147 s: lie_hom.ideal_range_eq_map 0.009136 s: lie_ideal.mem_map 0.003517 s: lie_submodule.mem_top 0.003063 s: lie_hom.mem_ideal_range 0.042022 s: lie_ideal.comap_bracket_eq 0.006680 s: lie_ideal.incl_is_ideal_morphism 0.002883 s: lie_submodule.bot_coe_submodule 0.102588 s: lie_ideal.incl_coe 0.056556 s: lie_ideal.ker_incl 0.011641 s: lie_ideal.comap_bracket_incl 0.000409 s: relator.left_total 0.000214 s: relator.left_total.drec_on 0.001887 s: submodule.map_coe 0.003041 s: linear_equiv.image_eq_preimage 0.004326 s: linear_equiv.map_eq_comap 0.000224 s: setoid.eq_iff_rel_eq 0.001004 s: order.ideal 0.000148 s: order.ideal.carrier 0.000091 s: order.ideal.set.has_coe 0.000340 s: order.ideal.is_proper 0.000359 s: order.ideal.cases_on 0.001208 s: order.ideal.ext 0.000185 s: order.ideal.partial_order 0.000718 s: order.ideal.is_maximal 0.000185 s: order.ideal.is_maximal.cases_on 0.000157 s: monoid_hom.has_coe_to_mul_hom 0.001671 s: differentiable_within_at.sub 0.000162 s: measure_theory.ae_eq_fun.has_one 0.001357 s: measure_theory.ae_eq_fun.one_to_germ 0.000375 s: measure_theory.ae_eq_fun.group._proof_1 0.000196 s: has_to_string 0.000279 s: monad_io_terminal 0.000096 s: monad_io_terminal.put_str 0.000011 s: monad_io_terminal_impl 0.000024 s: io.put_str 0.000040 s: has_to_string.to_string 0.000018 s: to_string 0.000039 s: io.print 0.000068 s: io.print.equations._eqn_1 0.001871 s: open_subgroup 0.000263 s: open_subgroup.carrier 0.000396 s: open_subgroup.one_mem' 0.000667 s: open_subgroup.mul_mem' 0.000389 s: open_subgroup.inv_mem' 0.000255 s: open_subgroup.to_subgroup 0.000077 s: open_subgroup.has_coe_subgroup 0.000395 s: open_subgroup.comap._proof_3 0.000181 s: option_t 0.000076 s: option_t.run 0.000138 s: option_t.orelse._match_1 0.000332 s: option_t.orelse._match_1.equations._eqn_2 0.001266 s: algebraic_geometry.to_open._proof_1 0.032221 s: algebraic_geometry.to_open._proof_2 0.069500 s: algebraic_geometry.to_open._proof_3 0.101356 s: algebraic_geometry.to_open._proof_4 0.063256 s: algebraic_geometry.to_open._proof_5 0.100373 s: algebraic_geometry.to_open._proof_6 0.028712 s: algebraic_geometry.to_open 0.097448 s: algebraic_geometry.to_open_res 0.001629 s: category_theory.over.construct_products.wide_pullback_diagram_of_diagram_over 0.006883 s: category_theory.over.construct_products.cones_equiv_functor._proof_1 0.024253 s: category_theory.over.construct_products.cones_equiv_functor._proof_2 0.005775 s: category_theory.over.construct_products.cones_equiv_functor._proof_3 0.030808 s: category_theory.over.construct_products.cones_equiv_functor._proof_4 0.009108 s: category_theory.over.construct_products.cones_equiv_functor._proof_5 0.032065 s: category_theory.over.construct_products.cones_equiv_functor._proof_6 0.088340 s: category_theory.over.construct_products.cones_equiv_functor._proof_7 0.151919 s: category_theory.over.construct_products.cones_equiv_functor._proof_8 0.202210 s: category_theory.over.construct_products.cones_equiv_functor._proof_9 0.190532 s: category_theory.over.construct_products.cones_equiv_functor._proof_10 0.074262 s: category_theory.over.construct_products.cones_equiv_functor 0.057138 s: category_theory.over.construct_products.cones_equiv_inverse_obj._proof_1 0.011943 s: category_theory.over.construct_products.cones_equiv_inverse_obj 0.009295 s: category_theory.over.construct_products.cones_equiv_inverse_obj_π_app 0.018889 s: category_theory.over.construct_products.cones_equiv_inverse._proof_1 0.026196 s: category_theory.over.construct_products.cones_equiv_inverse._proof_2 0.031077 s: category_theory.over.construct_products.cones_equiv_inverse._proof_3 0.013339 s: category_theory.over.construct_products.cones_equiv_inverse 0.011111 s: category_theory.over.construct_products.cones_equiv_unit_iso._proof_1 0.006942 s: category_theory.over.construct_products.cones_equiv_unit_iso._proof_2 0.030482 s: category_theory.over.construct_products.cones_equiv_unit_iso._proof_3 0.095493 s: category_theory.over.construct_products.cones_equiv_unit_iso._proof_4 0.019678 s: category_theory.over.construct_products.cones_equiv_unit_iso 0.017866 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_1 0.012977 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_2 0.050311 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_3 0.049785 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_4 0.116740 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_5 0.268647 s: category_theory.over.construct_products.cones_equiv_counit_iso._proof_6 0.022492 s: category_theory.over.construct_products.cones_equiv_counit_iso 0.069779 s: category_theory.over.construct_products.cones_equiv._proof_1 0.000329 s: con.mul_ker._proof_1 0.008657 s: con.mul_ker._proof_2 0.000345 s: con.mul_ker 0.000650 s: con.ker 0.000622 s: con.lift._proof_1 0.001527 s: con.lift._proof_2 0.002532 s: con.lift._proof_3 0.001876 s: con.lift 0.003943 s: con.lift_apply_mk' 0.000327 s: CpltSepUniformSpace 0.000015 s: UniformSpace 0.000067 s: UniformSpace.of 0.000057 s: CpltSepUniformSpace.α 0.000026 s: CpltSepUniformSpace.has_coe_to_sort 0.000115 s: CpltSepUniformSpace.is_uniform_space 0.000130 s: CpltSepUniformSpace.to_UniformSpace 0.000032 s: UniformSpace.has_coe_to_sort 0.000122 s: UniformSpace.uniform_space 0.000178 s: CpltSepUniformSpace.is_separated 0.000251 s: CpltSepUniformSpace.separated_space 0.000315 s: CpltSepUniformSpace.separated_space.equations._eqn_1 0.001623 s: pgame.subsequent 0.000047 s: tactic.interactive.generalize_a_aux 0.000778 s: pgame.subsequent.drec 0.001359 s: pgame.wf_subsequent 0.000089 s: pgame.has_well_founded 0.000235 s: pgame.subsequent.left_move 0.000133 s: pgame.subsequent.right_move 0.001530 s: pgame.le_lt._main._pack 0.000077 s: pgame.le_lt._main 0.000019 s: pgame.le_lt 0.000108 s: pgame.has_lt 0.000045 s: pgame.has_zero 0.000052 s: pgame.first_wins 0.000032 s: pgame.has_le 0.000044 s: pgame.first_loses 0.000020 s: pgame.equiv 0.000109 s: pgame.first_loses_is_zero 0.004332 s: pgame.mk_le_mk 0.002547 s: pgame.mk_lt_mk 0.002158 s: pgame.not_le_lt 0.000107 s: pgame.not_lt 0.000096 s: pgame.ibelow 0.000771 s: pgame.binduction_on 0.011584 s: pgame.lt_mk_of_le 0.012223 s: pgame.mk_lt_of_le 0.012882 s: pgame.le_refl 0.000092 s: pgame.lt_irrefl 0.000073 s: pgame.not_le 0.033669 s: pgame.le_trans_aux 0.005301 s: pgame.le_trans 0.000225 s: pgame.lt_of_lt_of_le 0.000081 s: pgame.lt_of_lt_of_equiv 0.000190 s: pgame.not_first_wins_of_first_loses 0.000083 s: pgame.not_first_loses_of_first_wins 0.000082 s: rel_iso.inhabited 0.002706 s: rel_iso.to_equiv_injective 0.001518 s: rel_iso.coe_fn_injective 0.000468 s: rel_iso.ext 0.001496 s: order_iso.symm_symm 0.000469 s: order_iso.symm_injective 0.000794 s: order_iso.apply_eq_iff_eq 0.002846 s: order_iso.trans_apply 0.000288 s: forall_lt_iff_le 0.001645 s: fin.mk_lt_of_lt_coe 0.018263 s: fin.coe_order_iso_apply 0.004734 s: fin.order_iso_subsingleton 0.000201 s: fin.order_iso_subsingleton' 0.000139 s: fin.order_iso_unique._proof_1 0.000784 s: fin.order_iso_unique 0.000612 s: fin.order_iso_unique.equations._eqn_1 0.000135 s: multiplicative.of_add_symm_eq 0.000037 s: onote.has_zero 0.000195 s: pnat.decidable_eq 0.000100 s: onote.sub._match_2 0.000116 s: onote.sub._match_1 0.000168 s: onote.sub._match_1.equations._eqn_1 0.001281 s: semidirect_product 0.000466 s: semidirect_product.left 0.000379 s: semidirect_product.right 0.001198 s: _private.3889720293.mul_aux 0.001115 s: _private.3889720293.mul_aux.equations._eqn_1 0.000508 s: semidirect_product.cases_on 0.000449 s: semidirect_product.no_confusion_type 0.001045 s: semidirect_product.no_confusion 0.000540 s: semidirect_product.mk.inj 0.000804 s: semidirect_product.mk.inj_eq 0.004841 s: _private.1091193845.mul_assoc_aux 0.000266 s: _private.4254295063.one_aux 0.000955 s: _private.4254295063.one_aux.equations._eqn_1 0.002653 s: _private.700838591.one_mul_aux 0.002357 s: _private.518445483.mul_one_aux 0.001903 s: semidirect_product.group._proof_1 0.001352 s: semidirect_product.group._proof_2 0.000562 s: _private.3931169661.inv_aux 0.001299 s: semidirect_product.group._proof_3 0.001487 s: semidirect_product.group._proof_4 0.005611 s: semidirect_product.group._proof_5 0.000997 s: _private.3931169661.inv_aux.equations._eqn_1 0.003086 s: _private.2710226361.mul_left_inv_aux 0.006723 s: semidirect_product.group 0.000797 s: semidirect_product.inr._proof_1 0.001581 s: semidirect_product.ext 0.001454 s: semidirect_product.mul_left 0.000948 s: semidirect_product.mul_right 0.003884 s: semidirect_product.inr._proof_2 0.002059 s: semidirect_product.inr 0.001233 s: semidirect_product.left_inr 0.000078 s: has_orelse.orelse 0.000140 s: alternative.to_has_orelse 0.001146 s: dlist.append._main 0.000024 s: dlist.append 0.000025 s: dlist.has_append 0.000177 s: parser.orelse._match_2 0.000185 s: parser.orelse._match_1 0.000051 s: parser.orelse 0.000524 s: dlist.empty._aux_1 0.000046 s: dlist.empty 0.000030 s: parser.failure 0.000396 s: parser.alternative 0.000163 s: parser.orelse_eq_orelse 0.000121 s: parser.orelse.equations._eqn_1 0.000171 s: parser.orelse._match_1.equations._eqn_1 0.000433 s: parser.orelse._match_1.equations._eqn_2 0.000131 s: parser.orelse._match_2.equations._eqn_1 0.000249 s: parser.orelse._match_2.equations._eqn_2 0.000133 s: not_lt_of_lt 0.015418 s: parser.orelse_eq_fail_eq 0.000111 s: parse_result.pos._main 0.000016 s: parse_result.pos 0.000299 s: parser.mono 0.000161 s: parse_result.pos._main.equations._eqn_2 0.000126 s: parse_result.pos.equations._eqn_2 0.000082 s: parser.mono.le' 0.000044 s: parser.mono.le 0.003005 s: parser.mono.of_fail 0.009612 s: parser.orelse_eq_fail_of_mono_ne 0.000120 s: parse_result.pos._main.equations._eqn_1 0.000060 s: parse_result.pos.equations._eqn_1 0.001782 s: parser.mono.pure 0.002459 s: parser.orelse_pure_eq_fail 0.001356 s: multiset.coe_subset 0.000019 s: Group 0.000033 s: group.to_monoid 0.000054 s: Group.group.to_monoid.category_theory.bundled_hom.parent_projection 0.000537 s: Group.large_category 0.000162 s: Group.concrete_category 0.000031 s: Group.has_coe_to_sort 0.000121 s: Group.group 0.000978 s: Group.group_obj 0.000087 s: category_theory.monoidal.transported 0.002258 s: category_theory.monoidal.transport._proof_1 0.002406 s: category_theory.monoidal.transport._proof_2 0.049118 s: category_theory.monoidal.transport._proof_3 0.027481 s: category_theory.monoidal.transport._proof_4 0.028238 s: category_theory.monoidal.transport._proof_5 0.118331 s: category_theory.monoidal.transport._proof_6 0.055906 s: category_theory.monoidal.transport._proof_7 0.016178 s: category_theory.monoidal.transport 0.000271 s: category_theory.monoidal.transported.category_theory.monoidal_category 0.021606 s: category_theory.monoidal.lax_from_transported._proof_3 0.183325 s: polynomial.splitting_field_aux.algebra''' 0.071558 s: polynomial.splitting_field_aux.algebra'' 0.158892 s: polynomial.splitting_field_aux.scalar_tower' 0.162570 s: polynomial.splitting_field_aux.scalar_tower'.equations._eqn_1 0.000465 s: category_theory.limits.as_empty_cocone._aux_1 0.015099 s: category_theory.limits.as_empty_cocone._proof_1 0.001054 s: category_theory.limits.as_empty_cocone 0.000135 s: category_theory.limits.is_initial 0.000141 s: category_theory.limits.is_terminal 0.000365 s: category_theory.limits.is_initial.to 0.003327 s: category_theory.limits.terminal_op_of_initial._proof_1 0.001497 s: category_theory.limits.is_initial.hom_ext 0.003109 s: category_theory.limits.terminal_op_of_initial._proof_2 0.001492 s: category_theory.limits.terminal_op_of_initial 0.001513 s: category_theory.limits.terminal_op_of_initial.equations._eqn_1 0.000065 s: string.iterator.prev_to_string._sunfold 0.014253 s: ring.fractional_ideal 0.005794 s: submodule.mul_induction_on 0.006797 s: localization_map.is_integer_add 0.004615 s: localization_map.is_integer_smul 0.057507 s: ring.fractional_ideal.fractional_mul 0.020837 s: ring.fractional_ideal.mul 0.000380 s: ring.fractional_ideal.has_mul 0.001436 s: localization_map.lin_coe._proof_1 0.001193 s: localization_map.lin_coe._proof_2 0.050845 s: localization_map.lin_coe 0.042655 s: localization_map.coe_submodule 0.059783 s: ring.fractional_ideal.coe_to_fractional_ideal._match_1 0.027250 s: ring.fractional_ideal.coe_to_fractional_ideal._proof_1 0.015687 s: ring.fractional_ideal.coe_to_fractional_ideal 0.036733 s: ring.fractional_ideal.has_zero 0.033303 s: ring.fractional_ideal.submodule.has_coe 0.020685 s: ring.fractional_ideal.has_mem 0.041026 s: localization_map.lin_coe_apply 0.056231 s: ring.fractional_ideal.mem_zero_iff 0.035399 s: ring.fractional_ideal.partial_order._proof_1 0.035159 s: ring.fractional_ideal.partial_order._proof_2 0.033836 s: ring.fractional_ideal.partial_order._proof_3 0.040973 s: ring.fractional_ideal.partial_order._match_1 0.041811 s: ring.fractional_ideal.partial_order._match_2 0.025745 s: ring.fractional_ideal.partial_order._proof_4 0.021434 s: ring.fractional_ideal.partial_order 0.000511 s: ring.fractional_ideal.order_bot._proof_1 0.000323 s: ring.fractional_ideal.order_bot._proof_2 0.002892 s: ring.fractional_ideal.order_bot._proof_3 0.000627 s: ring.fractional_ideal.order_bot._proof_4 0.029755 s: ring.fractional_ideal.val_eq_coe 0.039547 s: ring.fractional_ideal.coe_zero 0.025803 s: ring.fractional_ideal.zero_le 0.008138 s: ring.fractional_ideal.order_bot 0.019905 s: ring.fractional_ideal.eq_zero_iff 0.046331 s: ring.fractional_ideal.comm_semiring._proof_17 0.000126 s: category_theory.equivalence.inhabited 0.000235 s: category_theory.equivalence.inhabited.equations._eqn_1 0.007949 s: set.exists_max_image 0.000661 s: set.exists_upper_bound_image 0.001554 s: polynomial.eq_zero_of_infinite_is_root 0.000703 s: polynomial.exists_max_root 0.220356 s: polynomial.eventually_no_roots 0.014076 s: set.Ioc_inter_Ioo_of_right_le 0.000848 s: set.Ioo_inter_Ioc_of_left_le 0.000548 s: lie_submodule.quotient 0.000922 s: lie_submodule.quotient.mk 0.001482 s: zero_lie 0.001748 s: neg_lie 0.001552 s: lie_mem_left 0.009414 s: lie_submodule.quotient.lie_quotient_has_bracket._proof_1 0.002805 s: lie_submodule.quotient.lie_quotient_has_bracket 0.002212 s: continuous_linear_map.measurable_space 0.002650 s: continuous_linear_map.borel_space 0.000732 s: continuous_linear_map.apply._proof_1 0.017635 s: continuous_linear_map.apply._proof_2 0.014881 s: continuous_linear_map.apply._proof_3 0.002179 s: continuous_linear_map.apply._proof_4 0.016430 s: continuous_linear_map.apply._proof_5 0.016190 s: continuous_linear_map.apply._proof_6 0.034396 s: continuous_linear_map.apply 0.035742 s: continuous_linear_map.measurable_apply 0.008231 s: continuous_linear_map.measurable_coe 0.001246 s: structure_groupoid.cases_on 0.000832 s: structure_groupoid.no_confusion_type 0.037600 s: ring.fractional_ideal.has_one 0.010408 s: submodule.has_div._proof_1 0.001837 s: submodule.has_div._proof_2 0.001216 s: submodule.has_div._proof_3 0.001166 s: submodule.has_div 0.000696 s: fraction_map.injective 0.254364 s: ring.fractional_ideal.fractional_div_of_nonzero 0.074167 s: ring.fractional_ideal.fractional_ideal_has_div 0.000620 s: ring.fractional_ideal.has_inv 0.000380 s: ring.fractional_ideal.semilattice_sup_bot._proof_1 0.000300 s: ring.fractional_ideal.semilattice_sup_bot._proof_2 0.005875 s: ring.fractional_ideal.semilattice_sup_bot._proof_3 0.001945 s: ring.fractional_ideal.semilattice_sup_bot._proof_4 0.000660 s: ring.fractional_ideal.semilattice_sup_bot._proof_5 0.043774 s: ring.fractional_ideal.fractional_sup 0.000471 s: ring.fractional_ideal.lattice._proof_1 0.000527 s: ring.fractional_ideal.lattice._proof_2 0.006952 s: ring.fractional_ideal.lattice._proof_3 0.002837 s: ring.fractional_ideal.lattice._proof_4 0.044479 s: ring.fractional_ideal.lattice._proof_5 0.045570 s: ring.fractional_ideal.lattice._proof_6 0.048501 s: ring.fractional_ideal.lattice._proof_7 0.041036 s: ring.fractional_ideal.fractional_inf 0.041551 s: ring.fractional_ideal.lattice._proof_8 0.042367 s: ring.fractional_ideal.lattice._proof_9 0.050286 s: ring.fractional_ideal.lattice._proof_10 0.031623 s: ring.fractional_ideal.lattice 0.004444 s: ring.fractional_ideal.semilattice_sup_bot._proof_6 0.002020 s: ring.fractional_ideal.semilattice_sup_bot._proof_7 0.000841 s: ring.fractional_ideal.semilattice_sup_bot._proof_8 0.005888 s: ring.fractional_ideal.semilattice_sup_bot 0.000298 s: ring.fractional_ideal.has_add 0.000391 s: ring.fractional_ideal.comm_semiring._proof_1 0.000308 s: ring.fractional_ideal.comm_semiring._proof_2 0.000352 s: ring.fractional_ideal.comm_semiring._proof_3 0.000261 s: ring.fractional_ideal.comm_semiring._proof_4 0.000365 s: ring.fractional_ideal.comm_semiring._proof_5 0.006400 s: ring.fractional_ideal.comm_semiring._proof_6 0.005158 s: ring.fractional_ideal.comm_semiring._proof_7 0.000287 s: ring.fractional_ideal.comm_semiring._proof_8 0.028140 s: ring.fractional_ideal.ext 0.032002 s: ring.fractional_ideal.comm_semiring._proof_9 0.042579 s: ring.fractional_ideal.mul_le 0.034078 s: ring.fractional_ideal.mul_mem_mul 0.078628 s: ring.fractional_ideal.mem_one_iff 0.010637 s: ring.fractional_ideal.one_mem_one 0.070584 s: ring.fractional_ideal.comm_semiring._proof_10 0.077477 s: ring.fractional_ideal.comm_semiring._proof_11 0.079755 s: ring.fractional_ideal.comm_semiring._proof_12 0.084473 s: ring.fractional_ideal.comm_semiring._proof_13 0.149664 s: ring.fractional_ideal.comm_semiring._proof_14 0.153936 s: ring.fractional_ideal.comm_semiring._proof_15 0.061870 s: ring.fractional_ideal.comm_semiring._proof_16 0.036495 s: ring.fractional_ideal.comm_semiring._proof_18 0.039066 s: ring.fractional_ideal.comm_semiring._proof_19 0.005913 s: submodule.mul_mem_mul_rev 0.002952 s: submodule.mul_comm 0.066797 s: ring.fractional_ideal.comm_semiring._proof_20 0.037718 s: ring.fractional_ideal.comm_semiring 0.089667 s: ring.fractional_ideal.div_nonzero 0.014699 s: submodule.mem_div_iff_forall_mul_mem 0.059922 s: ring.fractional_ideal.mem_div_iff_of_nonzero 0.007846 s: ring.fractional_ideal.coe_mem_one 0.061203 s: ring.fractional_ideal.nontrivial 0.017938 s: ring.fractional_ideal.ne_zero_of_mul_eq_one 0.037713 s: ring.fractional_ideal.mul_left_mono 0.035179 s: ring.fractional_ideal.le_div_iff_of_nonzero 2.808748 s: right_inverse_eq 0.000167 s: zsqrtd 0.000051 s: gaussian_int 0.000048 s: zsqrtd.re 0.000028 s: zsqrtd.im 0.000043 s: zsqrtd.norm 0.000050 s: zsqrtd.cases_on 0.000105 s: zsqrtd.add._main 0.000019 s: zsqrtd.add 0.000027 s: zsqrtd.has_add 0.000087 s: zsqrtd.no_confusion_type 0.000246 s: zsqrtd.no_confusion 0.000213 s: zsqrtd.mk.inj 0.000088 s: zsqrtd.mk.inj_arrow 0.001671 s: zsqrtd.ext 0.000535 s: zsqrtd.add_re 0.000383 s: zsqrtd.add_im 0.005855 s: zsqrtd.comm_ring._proof_1 0.000048 s: zsqrtd.of_int 0.000020 s: zsqrtd.zero 0.000026 s: zsqrtd.has_zero 0.000117 s: zsqrtd.zero_re 0.000088 s: zsqrtd.zero_im 0.003117 s: zsqrtd.comm_ring._proof_2 0.001820 s: zsqrtd.comm_ring._proof_3 0.003445 s: zsqrtd.comm_ring._proof_4 0.004723 s: zsqrtd.comm_ring._proof_5 0.000065 s: zsqrtd.neg._main 0.000015 s: zsqrtd.neg 0.000050 s: zsqrtd.has_neg 0.013006 s: zsqrtd.comm_ring._proof_6 0.000774 s: zsqrtd.neg_re 0.000510 s: zsqrtd.neg_im 0.031255 s: zsqrtd.comm_ring._proof_7 0.009152 s: zsqrtd.comm_ring._proof_8 0.000100 s: zsqrtd.mul._main 0.000017 s: zsqrtd.mul 0.000030 s: zsqrtd.has_mul 0.000566 s: zsqrtd.mul_re 0.000419 s: zsqrtd.mul_im 0.018792 s: zsqrtd.comm_ring._proof_9 0.000045 s: zsqrtd.one 0.000076 s: zsqrtd.has_one 0.000137 s: zsqrtd.one_re 0.000079 s: zsqrtd.one_im 0.006696 s: zsqrtd.comm_ring._proof_10 0.004583 s: zsqrtd.comm_ring._proof_11 0.009799 s: zsqrtd.comm_ring._proof_12 0.012802 s: zsqrtd.comm_ring._proof_13 0.011757 s: zsqrtd.comm_ring._proof_14 0.016013 s: zsqrtd.comm_ring._proof_15 0.024216 s: zsqrtd.comm_ring._proof_16 0.013874 s: zsqrtd.comm_ring 0.000049 s: zsqrtd.semiring 0.006187 s: zsqrtd.lift._proof_1 0.026182 s: zsqrtd.lift._proof_2 0.008857 s: zsqrtd.lift._proof_3 0.018097 s: zsqrtd.lift._proof_4 0.000040 s: zsqrtd.sqrtd 0.000072 s: zsqrtd.sqrtd_re 0.000080 s: zsqrtd.sqrtd_im 0.004073 s: zsqrtd.coe_nat_re 0.000033 s: zsqrtd.ring 0.000062 s: zsqrtd.add_monoid 0.007945 s: zsqrtd.coe_int_re 0.002619 s: zsqrtd.coe_nat_im 0.010198 s: zsqrtd.coe_int_im 0.005112 s: zsqrtd.dmuld 0.006256 s: zsqrtd.lift._proof_5 0.090819 s: zsqrtd.lift._proof_6 0.008038 s: zsqrtd.decompose 0.007750 s: zsqrtd.hom_ext 0.088820 s: zsqrtd.lift._proof_7 0.015431 s: zsqrtd.lift 0.005278 s: gaussian_int.to_complex._proof_1 0.000681 s: gaussian_int.to_complex 0.000210 s: gaussian_int.complex.has_coe 0.000119 s: zsqrtd.norm.equations._eqn_1 0.004239 s: gaussian_int.to_complex_def 0.032588 s: gaussian_int.to_complex_re 0.027329 s: gaussian_int.to_complex_im 0.029538 s: gaussian_int.nat_cast_complex_norm 0.000321 s: tactic.ring2.horner_expr 0.000108 s: znum.cases_on 0.000100 s: tactic.ring2.horner_expr.cases_on 0.000089 s: znum.no_confusion_type 0.000237 s: znum.no_confusion 0.000058 s: pos_num.below 0.000369 s: pos_num.brec_on 0.000071 s: pos_num.cases_on 0.000064 s: pos_num.no_confusion_type 0.000194 s: pos_num.no_confusion 0.000110 s: pos_num.bit1.inj 0.000051 s: pos_num.bit1.inj_arrow 0.000056 s: pos_num.bit0.inj 0.000037 s: pos_num.bit0.inj_arrow 0.003943 s: pos_num.decidable_eq 0.000123 s: znum.pos.inj 0.000053 s: znum.pos.inj_arrow 0.000058 s: znum.neg.inj 0.000051 s: znum.neg.inj_arrow 0.000810 s: znum.decidable_eq 0.000031 s: tactic.ring2.horner_expr.has_zero 0.000122 s: tactic.ring2.horner_expr.below 0.000483 s: tactic.ring2.horner_expr.brec_on 0.000105 s: tactic.ring2.horner_expr.no_confusion_type 0.000236 s: tactic.ring2.horner_expr.no_confusion 0.000077 s: tactic.ring2.horner_expr.const.inj 0.000037 s: tactic.ring2.horner_expr.const.inj_arrow 0.000163 s: num.no_confusion_type 0.000378 s: num.no_confusion 0.000085 s: num.pos.inj 0.000041 s: num.pos.inj_arrow 0.000656 s: num.decidable_eq 0.000263 s: tactic.ring2.horner_expr.horner.inj 0.000150 s: tactic.ring2.horner_expr.horner.inj_arrow 0.001468 s: tactic.ring2.horner_expr.decidable_eq 0.000154 s: pos_num.succ._main 0.000012 s: pos_num.succ 0.000270 s: pos_num.add._main 0.000017 s: pos_num.add 0.000022 s: pos_num.has_add 0.000141 s: num.add._main 0.000014 s: num.add 0.000016 s: num.has_add 0.000205 s: tactic.ring2.horner_expr.horner'._match_1 0.000037 s: tactic.ring2.horner_expr.horner' 0.000304 s: cast_pos_num._main 0.000061 s: cast_pos_num 0.000060 s: pos_num_coe 0.000224 s: tactic.ring2.horner_expr.add_aux._match_2 0.000055 s: num.to_znum._main 0.000009 s: num.to_znum 0.000331 s: pos_num.pred'._main 0.000012 s: pos_num.pred' 0.000051 s: num.to_znum_neg._main 0.000009 s: num.to_znum_neg 0.000038 s: znum.bit0._main 0.000008 s: znum.bit0 0.000022 s: znum.has_one 0.000068 s: znum.bit1._main 0.000009 s: znum.bit1 0.000042 s: znum.bitm1._main 0.000008 s: znum.bitm1 0.000276 s: pos_num.sub'._main 0.000011 s: pos_num.sub' 0.000053 s: num.sub'._main 0.000010 s: num.sub' 0.000106 s: tactic.ring2.horner_expr.add_aux._match_1 0.000181 s: tactic.ring2.horner_expr.add_aux._match_1.equations._eqn_1 0.000146 s: category_theory.limits.limit_functorial._proof_2 0.000564 s: bdd_below_Icc 0.000557 s: set.enumerate_countable._match_1 0.000111 s: set.enumerate_countable 0.000161 s: set.enumerate_countable.equations._eqn_1 0.002319 s: omega_complete_partial_order.continuous_hom 0.000264 s: omega_complete_partial_order.continuous_hom.to_fun 0.000366 s: omega_complete_partial_order.continuous_hom.monotone' 0.000630 s: omega_complete_partial_order.continuous_hom.cont 0.058649 s: category_theory.adjunction.to_monad._proof_1 0.059777 s: category_theory.adjunction.to_monad._proof_2 0.063636 s: category_theory.adjunction.to_monad._proof_3 0.030411 s: category_theory.adjunction.to_monad 0.012318 s: category_theory.monad.comparison._proof_1 0.015606 s: category_theory.monad.comparison._proof_2 0.009890 s: category_theory.monad.comparison._proof_3 0.012318 s: category_theory.monad.comparison._proof_4 0.009952 s: category_theory.monad.comparison._proof_5 0.013197 s: category_theory.monad.comparison._proof_6 0.047469 s: category_theory.monad.comparison._proof_7 0.072538 s: category_theory.monad.comparison._proof_8 0.154581 s: category_theory.monad.comparison._proof_9 0.031363 s: category_theory.monad.comparison 0.001765 s: category_theory.monadic_right_adjoint 0.004414 s: category_theory.adjunction.left_adjoint_of_equiv._proof_1 0.004732 s: category_theory.adjunction.left_adjoint_of_equiv._proof_2 0.001873 s: category_theory.adjunction.left_adjoint_of_equiv 0.004744 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_obj 0.008566 s: category_theory.adjunction.right_triangle_components_assoc 0.018089 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv._proof_1 0.006711 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv._proof_2 0.001558 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv._proof_3 0.013925 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv._proof_4 0.016283 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv._proof_5 0.018165 s: category_theory.monad.monadicity_internal.comparison_left_adjoint_hom_equiv 0.022522 s: category_theory.monad.monadicity_internal.left_adjoint_comparison._proof_1 0.008446 s: category_theory.monad.monadicity_internal.left_adjoint_comparison 0.008600 s: category_theory.monad.monadicity_internal.main_pair_reflexive 0.005530 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_1 0.005231 s: category_theory.monad.monadicity_internal.comparison_adjunction._proof_1 0.004497 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_2 0.001983 s: _private.3742883553.he' 0.006881 s: category_theory.adjunction.adjunction_of_equiv_left._proof_1 0.003655 s: category_theory.adjunction.adjunction_of_equiv_left._proof_2 0.003281 s: category_theory.adjunction.adjunction_of_equiv_left 0.006706 s: category_theory.monad.monadicity_internal.comparison_adjunction._proof_2 0.004820 s: category_theory.monad.monadicity_internal.comparison_adjunction._proof_3 0.006057 s: category_theory.monad.monadicity_internal.comparison_adjunction._proof_4 0.011784 s: category_theory.monad.monadicity_internal.comparison_adjunction 0.005219 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_3 0.000641 s: category_theory.monad.forget._proof_1 0.000780 s: category_theory.monad.forget._proof_2 0.001755 s: category_theory.monad.forget 0.003208 s: category_theory.is_split_coequalizer 0.000699 s: category_theory.is_split_coequalizer.condition 0.000316 s: category_theory.is_split_coequalizer.as_cofork 0.002921 s: category_theory.monad.beck_split_coequalizer._proof_1 0.003450 s: category_theory.monad.left_unit' 0.002755 s: category_theory.monad.left_unit 0.003614 s: category_theory.monad.beck_split_coequalizer._proof_2 0.002638 s: category_theory.monad.beck_split_coequalizer._proof_3 0.004649 s: category_theory.monad.beck_split_coequalizer 0.002275 s: category_theory.monad.beck_cofork 0.000778 s: category_theory.is_split_coequalizer.right_section 0.000643 s: category_theory.is_split_coequalizer.left_section 0.001947 s: category_theory.is_split_coequalizer.left_section_top 0.001254 s: category_theory.is_split_coequalizer.left_section_top_assoc 0.000802 s: category_theory.is_split_coequalizer.left_section_bottom 0.000906 s: category_theory.is_split_coequalizer.left_section_bottom_assoc 0.003263 s: category_theory.is_split_coequalizer.as_cofork_ι_app 0.000792 s: category_theory.is_split_coequalizer.right_section_π 0.000806 s: category_theory.is_split_coequalizer.right_section_π_assoc 0.008201 s: category_theory.is_split_coequalizer.is_coequalizer._proof_1 0.002835 s: category_theory.is_split_coequalizer.is_coequalizer 0.003124 s: category_theory.monad.beck_coequalizer 0.009787 s: category_theory.monad.monadicity_internal.unit_cofork._proof_1 0.006804 s: category_theory.monad.monadicity_internal.unit_cofork 0.022931 s: category_theory.monad.monadicity_internal.comparison_adjunction_unit_f_aux 0.059696 s: category_theory.monad.monadicity_internal.comparison_adjunction_unit_f 0.006307 s: category_theory.limits.is_colimit_map_cocone_cofork_equiv._proof_1 0.001004 s: category_theory.limits.is_colimit_of_has_coequalizer_of_preserves_colimit._proof_1 0.001303 s: category_theory.limits.is_colimit_map_cocone_cofork_equiv._proof_2 0.005852 s: category_theory.limits.is_colimit.mk_cocone_morphism._proof_1 0.003560 s: category_theory.limits.is_colimit.mk_cocone_morphism._proof_2 0.002315 s: category_theory.limits.is_colimit.mk_cocone_morphism 0.001190 s: category_theory.limits.is_colimit.of_iso_colimit._proof_1 0.000687 s: category_theory.limits.is_colimit.of_iso_colimit 0.000145 s: category_theory.right_adjoint 0.000227 s: category_theory.adjunction.of_left_adjoint 0.011548 s: category_theory.adjunction.hom_equiv_apply_eq 0.003228 s: category_theory.limits.is_colimit.of_left_adjoint._proof_1 0.001714 s: category_theory.limits.is_colimit.of_left_adjoint 0.000272 s: category_theory.functor.left_adjoint_of_equivalence 0.004273 s: category_theory.limits.is_colimit.of_cocone_equiv._proof_1 0.004634 s: category_theory.limits.is_colimit.of_cocone_equiv._proof_2 0.004627 s: category_theory.limits.is_colimit.of_cocone_equiv 0.003534 s: category_theory.limits.cocones.ext._proof_1 0.016014 s: category_theory.limits.cocones.ext._proof_2 0.014420 s: category_theory.limits.cocones.ext._proof_3 0.007587 s: category_theory.limits.cocones.ext 0.011330 s: category_theory.limits.cocones.precompose_equivalence._proof_1 0.032960 s: category_theory.limits.cocones.precompose_equivalence._proof_2 0.012523 s: category_theory.limits.cocones.precompose_equivalence._proof_3 0.034052 s: category_theory.limits.cocones.precompose_equivalence._proof_4 0.128242 s: category_theory.limits.cocones.precompose_equivalence._proof_5 0.016074 s: category_theory.limits.cocones.precompose_equivalence 0.001777 s: category_theory.limits.is_colimit.precompose_hom_equiv 0.001229 s: category_theory.limits.is_colimit.precompose_inv_equiv 0.002646 s: category_theory.limits.is_colimit.equiv_iso_colimit._proof_1 0.000841 s: category_theory.limits.is_colimit.equiv_iso_colimit._proof_2 0.002139 s: category_theory.limits.is_colimit.equiv_iso_colimit 0.000437 s: category_theory.whisker_eq 0.005446 s: category_theory.limits.cofork.mk_hom._proof_1 0.002775 s: category_theory.limits.cofork.mk_hom 0.002803 s: category_theory.limits.cofork.ext._proof_1 0.017242 s: category_theory.limits.cofork.ext._proof_2 0.016396 s: category_theory.limits.cofork.ext._proof_3 0.006069 s: category_theory.limits.cofork.ext 0.025495 s: category_theory.limits.is_colimit_map_cocone_cofork_equiv._proof_3 0.017604 s: category_theory.limits.is_colimit_map_cocone_cofork_equiv 0.002923 s: category_theory.limits.is_colimit_cofork_map_of_is_colimit 0.004638 s: category_theory.limits.coequalizer_is_coequalizer._proof_1 0.001863 s: category_theory.limits.coequalizer_is_coequalizer 0.002125 s: category_theory.limits.is_colimit_of_has_coequalizer_of_preserves_colimit 0.007160 s: category_theory.monad.monadicity_internal.unit_colimit_of_preserves_coequalizer 0.000797 s: category_theory.is_iso.eq_comp_inv 0.000347 s: category_theory.is_iso.eq_inv_of_hom_inv_id 0.001923 s: category_theory.functor.map_inv 0.009328 s: category_theory.monad.algebra_iso_of_iso 0.001558 s: category_theory.monad.forget_reflects_iso 0.104636 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_4 0.006731 s: category_theory.monad.monadicity_internal.counit_cofork._proof_1 0.004313 s: category_theory.monad.monadicity_internal.counit_cofork 0.046400 s: category_theory.monad.monadicity_internal.comparison_adjunction_counit_app 0.001888 s: category_theory.limits.reflects_colimit 0.006469 s: category_theory.limits.is_colimit_of_is_colimit_cofork_map._proof_1 0.001032 s: category_theory.limits.is_colimit_of_is_colimit_cofork_map._proof_2 0.000927 s: category_theory.limits.reflects_colimit.reflects 0.003266 s: category_theory.limits.is_colimit_of_is_colimit_cofork_map 0.012912 s: category_theory.monad.monadicity_internal.counit_coequalizer_of_reflects_coequalizer 0.007427 s: category_theory.limits.cocones.cocone_iso_of_hom_iso 0.001523 s: category_theory.limits.is_colimit.of_point_iso._proof_1 0.000698 s: category_theory.limits.is_colimit.of_point_iso 0.000833 s: category_theory.limits.is_colimit.hom_is_iso 0.000629 s: category_theory.limits.is_colimit_of_preserves 0.005169 s: category_theory.limits.cocones.reflects_cocone_isomorphism 0.003258 s: category_theory.limits.reflects_colimit_of_reflects_isomorphisms._proof_1 0.000919 s: category_theory.limits.reflects_colimit_of_reflects_isomorphisms 0.010707 s: category_theory.app.is_reflexive_pair 0.230866 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_5 0.000538 s: category_theory.as_iso_hom 0.009787 s: category_theory.adjunction.to_equivalence._proof_1 0.006491 s: category_theory.adjunction.to_equivalence._proof_2 0.036751 s: category_theory.adjunction.to_equivalence._proof_3 0.013392 s: category_theory.adjunction.to_equivalence 0.002661 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence._proof_1 0.003010 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence._proof_2 0.004278 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence 0.003584 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_6 0.003028 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms._proof_7 0.006099 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms 0.006550 s: category_theory.monad.monadic_of_has_preserves_reflexive_coequalizers_of_reflects_isomorphisms.equations._eqn_1 0.000283 s: exists_unique.exists 0.001436 s: function.injective.mem_range_iff_exists_unique 0.000132 s: function.injective.exists_unique_of_mem_range 0.001832 s: function.injective.inv_of_mem_range._proof_1 0.000476 s: function.injective.inv_of_mem_range 0.000534 s: set.restrict_apply 0.001739 s: function.injective.left_inv_of_inv_of_mem_range 0.002649 s: function.injective.inv_fun_restrict 0.001382 s: fderiv_measurable_aux.B 0.001118 s: fderiv_measurable_aux.D 0.001135 s: fderiv_measurable_aux.D.equations._eqn_1 0.001513 s: fderiv_measurable_aux.B.equations._eqn_1 0.591873 s: exists_pow_lt_of_lt_one 0.614072 s: fderiv_measurable_aux.differentiable_set_subset_D 0.038558 s: quaternion_algebra.conj_conj 0.008196 s: fintype.prod_bijective 0.000440 s: function.bijective.prod_comp 0.000417 s: equiv.prod_comp 0.012649 s: continuous_multilinear_map.dom_dom_congr._proof_12 0.001833 s: list.map₂_left'._main 0.000688 s: list.map₂_left'._main.equations._eqn_2 0.000128 s: fin_enum.psigma.fin_enum_prop_right._match_2 0.000129 s: fin_enum.psigma.fin_enum_prop_right._match_1 0.000402 s: fin_enum.psigma.fin_enum_prop_right._match_3 0.000443 s: fin_enum.psigma.fin_enum_prop_right._match_3.equations._eqn_1 0.002948 s: category_theory.limits.is_colimit.of_left_adjoint.equations._eqn_1 0.000928 s: quaternion_algebra.mk_mul_mk 0.003597 s: mvpfunctor.W_path 0.000070 s: mvpfunctor.Wp 0.000114 s: mvpfunctor.Wp.equations._eqn_1 0.000655 s: measure_theory.ae_eq_fun.lintegral._proof_1 0.000818 s: measure_theory.ae_eq_fun.lintegral 0.004829 s: measure_theory.ae_eq_fun.lintegral_mk 0.001493 s: measure_theory.ae_eq_fun.lintegral_coe_fn 0.001965 s: category_theory.is_iso.mono_of_iso.equations._eqn_1 0.007283 s: mv_power_series.map._proof_1 0.007189 s: mv_power_series.map._proof_2 0.005408 s: mv_power_series.map._proof_3 0.011573 s: mv_power_series.map._proof_4 0.002196 s: mv_power_series.map 0.002068 s: mv_power_series.coeff_map 0.003515 s: mv_power_series.map_monomial 0.002899 s: mv_power_series.map_C 0.004932 s: mv_power_series.coeff_C_mul 0.003890 s: mv_power_series.coeff_mul_C 0.003320 s: mv_power_series.algebra._proof_1 0.001585 s: pi.is_scalar_tower 0.006095 s: mv_power_series.is_scalar_tower 0.009454 s: mv_power_series.algebra._proof_2 0.001459 s: mv_power_series.algebra 0.000146 s: power_series.algebra 0.000831 s: set_like.ext_iff 0.007082 s: algebra.mem_top 0.001298 s: mv_power_series.ext_iff 0.003086 s: mv_power_series.algebra_map_apply 0.002112 s: mv_power_series.coeff_C 0.000724 s: mv_power_series.coeff_index_single_self_X 0.004508 s: mv_power_series.subalgebra.nontrivial 0.000346 s: power_series.subalgebra.nontrivial 0.000094 s: num.ppred._main 0.000087 s: num.ppred._main.equations._eqn_1 0.002238 s: ordinal.add_lt_omega 0.000083 s: polynomial.coe_to_power_series 0.001909 s: polynomial.coeff_coe 0.000076 s: dlex_linear_order._proof_11 0.000938 s: quiver.path 0.000298 s: quiver.rooted_connected 0.000032 s: wide_subquiver 0.000028 s: wide_subquiver.to_Type 0.000061 s: wide_subquiver_has_coe_to_sort 0.000256 s: quiver.path.below 0.001087 s: quiver.path.brec_on 0.000311 s: quiver.path.cases_on 0.001484 s: quiver.path.length._main 0.000064 s: quiver.path.length 0.000116 s: quiver.shortest_path._proof_1 0.000107 s: quiver.rooted_connected.nonempty_path 0.000172 s: quiver.shortest_path._proof_2 0.000101 s: quiver.shortest_path 0.000158 s: quiver.geodesic_subtree 0.000366 s: wide_subquiver.quiver 0.001532 s: quiver.geodesic_arborescence._proof_3 0.000195 s: function.surjective.forall 0.000177 s: function.surjective.forall₂ 0.000246 s: function.surjective.forall₃ 0.000781 s: function.surjective.add_semigroup._proof_1 0.000182 s: function.surjective.add_semigroup 0.000213 s: function.surjective.add_comm_semigroup._proof_1 0.000845 s: function.surjective.add_comm_semigroup._proof_2 0.000403 s: function.surjective.add_comm_semigroup 0.000807 s: function.surjective.add_comm_monoid._proof_1 0.000334 s: function.surjective.add_monoid._proof_1 0.000562 s: function.surjective.add_zero_class._proof_1 0.000495 s: function.surjective.add_zero_class._proof_2 0.000298 s: function.surjective.add_zero_class 0.000278 s: function.surjective.add_monoid._proof_2 0.000367 s: function.surjective.add_monoid._proof_3 0.000350 s: function.surjective.add_monoid._proof_4 0.000229 s: function.surjective.add_monoid._proof_5 0.001330 s: function.surjective.add_monoid._proof_6 0.001033 s: function.surjective.add_monoid._proof_7 0.002586 s: function.surjective.add_monoid 0.000441 s: function.surjective.add_comm_monoid._proof_2 0.000262 s: function.surjective.add_comm_monoid._proof_3 0.000393 s: function.surjective.add_comm_monoid._proof_4 0.000429 s: function.surjective.add_comm_monoid._proof_5 0.000687 s: function.surjective.add_comm_monoid._proof_6 0.002036 s: function.surjective.add_comm_monoid 0.003126 s: function.surjective.semiring._proof_1 0.000073 s: slim_check.sizeof_lt 0.001004 s: slim_check.rec_shrink._main._proof_1 0.012578 s: ordered_comm_semiring.rec_on 0.000265 s: quot.hrec_on₂._proof_1 0.000079 s: heq_self_iff_true 0.004924 s: quot.hrec_on₂._proof_2 0.001154 s: quot.hrec_on₂ 0.000670 s: quotient.hrec_on₂._proof_1 0.000585 s: quotient.hrec_on₂._proof_2 0.000997 s: quotient.hrec_on₂ 0.000674 s: quotient.hrec_on₂' 0.000794 s: quotient.hrec_on₂'.equations._eqn_1 0.001806 s: ordinal.has_add._match_5.equations._eqn_1 0.000150 s: ordnode.update_with._match_2 0.000101 s: ordnode.update_with._match_1 0.000562 s: ordnode.update_with._main 0.000061 s: ordnode.update_with 0.001035 s: ordnode.update_with._main.equations._eqn_2 0.000221 s: ordnode.update_with.equations._eqn_2 0.002866 s: category_theory.sigma.nat_trans._match_1 0.010019 s: category_theory.sigma.nat_trans._proof_1 0.003436 s: category_theory.sigma.nat_trans 0.000174 s: cast_num._main 0.000081 s: cast_num 0.000106 s: num_nat_coe 0.000342 s: num.add_zero 0.000068 s: num.succ'._main 0.000010 s: num.succ' 0.000012 s: num.succ 0.002019 s: num.add_one 0.000303 s: num.zero_add 0.000971 s: pos_num.add_one 0.000651 s: pos_num.one_add 0.004301 s: pos_num.add_succ 0.001042 s: num.add_succ 0.004283 s: num.add_of_nat 0.002010 s: pos_num.bit0_of_bit0 0.000278 s: pos_num.bit1_of_bit1 0.003657 s: pos_num.of_to_nat 0.001621 s: num.of_to_nat 0.000336 s: num.to_nat_inj 0.009602 s: pos_num.succ_to_nat 0.021244 s: pos_num.add_to_nat 0.008766 s: num.add_to_nat 0.003033 s: num.comm_semiring._proof_1 0.000049 s: num.comm_semiring._proof_2 0.000078 s: num.comm_semiring._proof_3 0.004041 s: num.comm_semiring._proof_4 0.000248 s: pos_num.mul._main 0.000012 s: pos_num.mul 0.000040 s: pos_num.has_mul 0.000102 s: num.mul._main 0.000031 s: num.mul 0.000024 s: num.has_mul 0.010839 s: pos_num.mul_to_nat 0.006019 s: num.mul_to_nat 0.005168 s: num.comm_semiring._proof_5 0.000579 s: num.cast_one 0.002773 s: num.comm_semiring._proof_6 0.002759 s: num.comm_semiring._proof_7 0.003085 s: num.comm_semiring._proof_8 0.005381 s: num.comm_semiring._proof_9 0.000356 s: num.cast_zero 0.003391 s: num.comm_semiring._proof_10 0.003692 s: num.comm_semiring._proof_11 0.006515 s: num.comm_semiring._proof_12 0.008976 s: num.comm_semiring._proof_13 0.006094 s: num.comm_semiring._proof_14 0.001779 s: num.comm_semiring 0.002998 s: num.ordered_cancel_add_comm_monoid._proof_1 0.000537 s: pos_num.cmp._main 0.000013 s: pos_num.cmp 0.000053 s: num.cmp._main 0.000010 s: num.cmp 0.000029 s: num.has_lt 0.000029 s: num.has_le 0.000036 s: ordering.no_confusion_type 0.000185 s: ordering.no_confusion 0.008697 s: pos_num.to_nat_pos 0.012870 s: pos_num.cmp_to_nat_lemma 0.027032 s: pos_num.cmp_to_nat 0.007791 s: num.cmp_to_nat 0.002526 s: num.lt_to_nat 0.000980 s: num.le_to_nat 0.000851 s: num.ordered_cancel_add_comm_monoid._proof_2 0.001123 s: num.ordered_cancel_add_comm_monoid._proof_3 0.001472 s: num.ordered_cancel_add_comm_monoid._proof_4 0.002952 s: num.ordered_cancel_add_comm_monoid._proof_5 0.008975 s: num.ordered_cancel_add_comm_monoid._proof_6 0.007131 s: num.ordered_cancel_add_comm_monoid._proof_7 0.001429 s: num.ordered_cancel_add_comm_monoid 0.005444 s: pos_num.cast_to_nat 0.002815 s: pos_num.cast_to_num 0.000228 s: nzsnum 0.000121 s: snum 0.000052 s: bool.sizeof._main 0.000010 s: bool.sizeof 0.000059 s: bool.has_sizeof 0.000136 s: nzsnum.sizeof 0.000015 s: nzsnum.has_sizeof_inst 0.000043 s: snum.sizeof 0.002936 s: polynomial.comp_C 0.000608 s: lists' 0.000064 s: lists 0.000062 s: lists.induction_mut._match_1 0.000228 s: lists.induction_mut._match_2 0.000313 s: filter.germ.coe_mul_hom._proof_1 0.000192 s: filter.germ.coe_mul_hom._proof_2 0.002599 s: filter.germ.coe_mul_hom 0.000378 s: filter.germ.coe_ring_hom._proof_2 0.000064 s: AddCommMon.has_coe_to_sort 0.000273 s: neg_le_of_neg_le 0.000173 s: with_zero.group_with_zero._proof_1 0.000087 s: with_zero.group_with_zero._proof_2 0.000079 s: with_zero.group_with_zero._proof_3 0.000489 s: with_zero.group_with_zero._proof_4 0.000203 s: with_zero.group_with_zero._proof_5 0.000087 s: with_zero.group_with_zero._proof_6 0.000097 s: with_zero.group_with_zero._proof_7 0.000039 s: with_zero.monad 0.000085 s: with_zero.inv 0.000033 s: with_zero.has_inv 0.000076 s: with_zero.group_with_zero._proof_8 0.000071 s: with_zero.group_with_zero._proof_9 0.000068 s: with_zero.group_with_zero._proof_10 0.000177 s: with_zero.group_with_zero._proof_11 0.000180 s: with_zero.group_with_zero._proof_12 0.000489 s: with_zero.group_with_zero._proof_13 0.000049 s: with_zero.nontrivial 0.000079 s: with_zero.group_with_zero._proof_14 0.000563 s: with_zero.inv_zero 0.000060 s: with_zero.group_with_zero._proof_15 0.000059 s: exists_apply_eq_apply 0.001229 s: option.ne_none_iff_exists 0.000277 s: with_zero.ne_zero_iff_exists 0.000108 s: with_zero.can_lift._proof_1 0.000120 s: with_zero.can_lift 0.000427 s: with_zero.coe_inv 0.000541 s: with_zero.coe_mul 0.000170 s: with_zero.coe_one 0.006091 s: with_zero.group_with_zero._proof_16 0.004717 s: with_zero.group_with_zero 0.000996 s: with_zero.comm_group_with_zero._proof_11 0.006575 s: category_theory.limits.is_colimit.ι_map 0.003790 s: category_theory.limits.is_colimit.ι_map_assoc 0.004949 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso._proof_1 0.004754 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso._proof_2 0.001543 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso 0.000595 s: category_theory.limits.has_colimit.iso_of_nat_iso 0.000628 s: category_theory.limits.has_colimit.iso_of_nat_iso.equations._eqn_1 0.000295 s: measure_theory.measure.absolutely_continuous 0.002442 s: measure_theory.measure.quasi_measure_preserving 0.001856 s: measure_theory.conservative 0.004264 s: affine_equiv 0.001133 s: affine_equiv.to_equiv 0.000606 s: affine_equiv.has_coe_to_fun 0.000949 s: affine_equiv.injective 0.042202 s: Top.limit_cone._proof_1 0.152588 s: Top.limit_cone._proof_2 0.021141 s: Top.limit_cone 0.000185 s: Top.limit_cone_is_limit._proof_1 0.002191 s: Top.limit_cone_is_limit._proof_2 0.055201 s: Top.limit_cone_is_limit._proof_3 0.106098 s: Top.limit_cone_is_limit._proof_4 0.025763 s: Top.limit_cone_is_limit 0.008710 s: Top.limit_cone_is_limit.equations._eqn_1 0.000203 s: pfun.dom 0.000147 s: pfun.dom.equations._eqn_1 0.001759 s: pfun.mem_dom 0.000334 s: pfun.dom_eq 0.012432 s: affine_map.line_map_apply_module' 0.023202 s: affine_map.line_map_apply_module 0.066672 s: line_map_mono_right 0.000130 s: real.arccos 0.000191 s: inner_product_geometry.angle 0.000176 s: inner_product_geometry.angle.equations._eqn_1 0.000098 s: real.arccos.equations._eqn_1 0.008045 s: real.arccos_one 0.056753 s: inner_product_geometry.angle_self 0.007211 s: real.arccos_zero 0.050235 s: inner_product_geometry.angle_zero_right 0.007744 s: real.cos_pi_div_two_sub 0.001860 s: real.cos_arccos 1.227064 s: abs_real_inner_div_norm_mul_norm_le_one 0.003263 s: inner_product_geometry.cos_angle 0.000086 s: real.arccos_eq_pi_div_two_sub_arcsin 0.005073 s: real.sin_pi_div_two_sub 0.000605 s: real.sin_arccos 0.000625 s: real.sqrt_mul' 0.000210 s: tactic.ring.add_neg_eq_sub 0.312030 s: inner_product_geometry.sin_angle_mul_norm_mul_norm 0.027435 s: real_inner_mul_inner_self_le 0.422339 s: inner_product_geometry.cos_angle_sub_add_angle_sub_rev_eq_neg_cos_angle 0.299814 s: inner_product_geometry.sin_angle_sub_add_angle_sub_rev_eq_sin_angle 0.010307 s: neg_add' 0.005357 s: inner_product_geometry.cos_angle_add_angle_sub_add_angle_sub_eq_neg_one 0.011064 s: padic_int.inv._main 0.000063 s: padic_int.inv 0.010367 s: padic_int.inv._main._proof_1 0.001736 s: padic_int.inv._main.equations._eqn_1 0.000485 s: padic_int.inv.equations._eqn_1 0.000334 s: padic_int.mk_zero 0.055268 s: padic_int.mul_inv 0.009556 s: padic_int.inv_mul 0.018018 s: padic_int.is_unit_iff 0.113624 s: padic.of_rat 0.141743 s: padic.of_rat_add 0.016910 s: padic.of_rat_one 0.009264 s: padic.cast_eq_of_rat_of_nat 0.001344 s: cau_seq.completion.of_rat_neg 0.121165 s: padic.of_rat_neg 0.023069 s: padic.cast_eq_of_rat_of_int 0.000722 s: cau_seq.const_zero 0.177934 s: cau_seq.completion.of_rat_inv 0.150312 s: cau_seq.completion.of_rat_div 0.106306 s: padic.of_rat_div 0.025548 s: padic.cast_eq_of_rat 0.091393 s: padic.const_equiv 0.135191 s: padic.of_rat_eq 0.013597 s: padic.coe_inj 0.030264 s: padic.char_zero 0.014183 s: padic_int.coe_coe 0.002240 s: nat.dvd_gcd_iff 0.002710 s: int.coe_nat_dvd_left 0.004883 s: padic_int.coe_coe_int 0.000721 s: padic_int.norm_int_cast_eq_padic_norm 0.064446 s: padic_seq.not_lim_zero_const_of_nonzero 0.074221 s: padic_seq.not_equiv_zero_const_of_nonzero 0.077155 s: padic_seq.norm_const 0.050743 s: padic_norm_e.eq_padic_norm' 0.010181 s: padic_norm_e.eq_padic_norm 0.006751 s: multiplicity.get_one_right 0.035813 s: padic_val_rat.padic_val_rat_of_int 0.000082 s: rat.num_zero 0.008547 s: rat.zero_iff_num_zero 0.002424 s: padic_norm.eq_fpow_of_nonzero 0.004909 s: padic_val_rat_def 0.004992 s: int.coe_nat_pow 0.000318 s: nat.find_le 0.019125 s: multiplicity.int.coe_nat_multiplicity 0.000115 s: enat.get_zero 0.033580 s: fpow_le_one_of_nonpos 0.143299 s: padic_norm_e.norm_rat_le_one 0.017685 s: padic_norm_e.norm_int_le_one 0.139084 s: padic_norm_e.norm_p 0.143287 s: inv_lt_one 0.152871 s: padic_norm_e.norm_int_lt_one_iff_dvd 0.014202 s: padic_int.norm_int_lt_one_iff_dvd 0.102232 s: padic.of_rat_mul 0.017379 s: padic.coe_mul 0.001840 s: rat.coe_nat_eq_mk 0.003831 s: rat.mul_denom_eq_num 0.017203 s: padic_int.is_unit_denom 0.000112 s: zsqrtd.conj._main 0.000045 s: zsqrtd.conj 0.015651 s: zsqrtd.conj_hom._match_1 0.000386 s: zsqrtd.conj_hom._match_2 0.000310 s: zsqrtd.conj_hom._match_2.equations._eqn_1 0.007003 s: linear_map.proj.equations._eqn_1 0.000141 s: rack.inv_act 0.000342 s: rack.left_inv 0.000159 s: rack.right_inv 0.000100 s: rack.act 0.000450 s: rack.left_cancel 0.000097 s: rack.act_inv_act_eq 0.000258 s: quandle.fix 0.000871 s: quandle.fix_inv 0.000342 s: function.has_left_inverse.injective 0.000166 s: exists_of_bex 0.001763 s: fintype.injective_iff_surjective 0.000186 s: function.bijective.equations._eqn_1 0.000453 s: fintype.injective_iff_bijective 0.000361 s: function.embedding.equiv_of_fintype_self_embedding._proof_1 0.004151 s: lie_equiv 0.000348 s: matrix.ring._proof_1 0.000188 s: matrix.ring._proof_2 0.000176 s: matrix.ring._proof_3 0.000545 s: matrix.ring._proof_4 0.000503 s: matrix.ring._proof_5 0.000136 s: matrix.add_comm_group 0.000810 s: matrix.ring._proof_6 0.000748 s: matrix.ring._proof_7 0.000279 s: matrix.ring._proof_8 0.000219 s: matrix.ring._proof_9 0.000220 s: matrix.ring._proof_10 0.000147 s: matrix.ring._proof_11 0.000307 s: matrix.ring._proof_12 0.000318 s: matrix.ring._proof_13 0.000181 s: matrix.ring._proof_14 0.000181 s: matrix.ring._proof_15 0.384948 s: matrix.ring 0.004350 s: lie_equiv.to_fun 0.000215 s: lie_equiv.has_coe_to_fun 0.003367 s: lie_hom.comp._proof_1 0.003540 s: lie_hom.comp._proof_2 0.007887 s: lie_hom.comp._proof_3 0.002021 s: lie_hom.comp 0.001803 s: lie_equiv.map_add' 0.001488 s: lie_equiv.map_smul' 0.001387 s: lie_equiv.map_lie' 0.000877 s: lie_equiv.to_lie_hom 0.000920 s: lie_equiv.trans._proof_1 0.001261 s: lie_equiv.trans._proof_2 0.000905 s: lie_equiv.trans._proof_3 0.001062 s: lie_equiv.inv_fun 0.001418 s: lie_equiv.left_inv 0.001107 s: lie_equiv.right_inv 0.000814 s: lie_equiv.to_linear_equiv 0.001249 s: lie_equiv.trans._proof_4 0.001402 s: lie_equiv.trans._proof_5 0.010356 s: lie_equiv.trans 0.004714 s: lie_hom.inverse._proof_1 0.002104 s: lie_hom.inverse._proof_2 0.001259 s: lie_hom.inverse._proof_3 0.002584 s: lie_hom.inverse 0.001884 s: lie_equiv.symm._proof_1 0.002019 s: lie_equiv.symm._proof_2 0.001674 s: lie_equiv.symm._proof_3 0.000831 s: lie_equiv.symm._proof_4 0.000828 s: lie_equiv.symm._proof_5 0.003398 s: lie_equiv.symm 0.022610 s: lie_equiv_matrix'._proof_1 0.028999 s: lie_equiv_matrix'._proof_2 0.000248 s: matrix.has_sub 0.004730 s: linear_equiv.map_sub 0.000250 s: matrix.to_lin'._proof_1 0.026316 s: matrix.to_lin' 0.028728 s: linear_map.to_matrix'_to_lin' 0.005521 s: finset.sum_pi_single 0.002581 s: finset.univ_sum_single 0.003741 s: add_monoid_hom.functions_ext 0.003895 s: linear_map.pi_ext 0.006487 s: linear_map.pi_ext' 0.001712 s: linear_map.coe_single 0.023323 s: matrix.to_lin'_apply 0.009665 s: matrix.mul_vec_mul_vec 0.040782 s: matrix.to_lin'_mul 0.108610 s: matrix.to_lin'_to_matrix' 0.057111 s: linear_map.to_matrix'_comp 0.256954 s: lie_equiv_matrix'._proof_3 0.028320 s: lie_equiv_matrix'._proof_4 0.024564 s: lie_equiv_matrix'._proof_5 0.238592 s: lie_equiv_matrix' 0.013048 s: linear_equiv.conj._proof_1 0.010455 s: linear_equiv.conj._proof_2 0.003640 s: linear_equiv.conj 0.004844 s: linear_equiv.lie_conj._proof_1 0.004838 s: linear_equiv.lie_conj._proof_2 0.000615 s: linear_map.mul_eq_comp 0.025304 s: linear_equiv.arrow_congr_comp 0.009821 s: linear_equiv.conj_comp 0.052305 s: linear_equiv.lie_conj._proof_3 0.014636 s: linear_equiv.lie_conj._proof_4 0.004494 s: linear_equiv.lie_conj._proof_5 0.102953 s: linear_equiv.lie_conj 0.038578 s: matrix.to_linear_equiv'._proof_1 0.027161 s: matrix.to_linear_equiv'._proof_2 0.000193 s: matrix.update_column 0.000161 s: matrix.cramer_map 0.008955 s: int.units_inv_eq_self 0.000794 s: equiv.perm.sign_inv 0.000481 s: fintype.prod_equiv 0.000429 s: matrix.transpose_apply 0.002696 s: matrix.det_transpose 0.000206 s: matrix.update_row 0.000571 s: matrix.update_row_self 0.000277 s: matrix.update_row_ne 0.001025 s: matrix.update_row_apply 0.000323 s: matrix.update_column_self 0.000228 s: matrix.update_column_ne 0.000902 s: matrix.update_column_apply 0.001213 s: matrix.update_row_transpose 0.006933 s: matrix.det_update_row_add 0.003067 s: matrix.det_update_column_add 0.002794 s: alternating_map.map_smul 0.009950 s: matrix.det_update_row_smul 0.002845 s: matrix.det_update_column_smul 0.017470 s: matrix.cramer_map_is_linear 0.017486 s: matrix.cramer_is_linear 0.007810 s: matrix.cramer._proof_1 0.008709 s: matrix.cramer 0.005652 s: matrix.adjugate 0.000582 s: matrix.nonsing_inv 0.000098 s: matrix.has_inv 0.001513 s: matrix.dot_product_comm 0.001455 s: matrix.transpose_mul 0.001483 s: matrix.nonsing_inv_apply 0.000689 s: matrix.is_unit_det_transpose 0.006251 s: matrix.adjugate_def 0.013275 s: matrix.cramer_apply 0.002825 s: matrix.update_column_transpose 0.005890 s: matrix.adjugate_apply 0.017171 s: matrix.adjugate_transpose 0.011355 s: matrix.transpose_nonsing_inv 0.000652 s: matrix.transpose_transpose 0.003678 s: matrix.mul_smul 0.017691 s: matrix.mul_adjugate_apply 0.014392 s: matrix.sum_cramer 0.023575 s: matrix.sum_cramer_apply 0.000357 s: matrix.update_row.equations._eqn_1 0.008510 s: matrix.det_zero_of_row_eq 0.013201 s: matrix.cramer_transpose_row_self 0.013478 s: matrix.mul_adjugate 0.000965 s: units.inv_mul_of_eq 0.024200 s: matrix.mul_nonsing_inv 0.005548 s: matrix.transpose_one 0.008975 s: matrix.nonsing_inv_mul 0.002074 s: matrix.mul_vec_diagonal 0.001897 s: matrix.mul_vec_one 0.032180 s: matrix.to_lin'_one 0.032278 s: matrix.to_linear_equiv'._proof_3 0.029920 s: matrix.to_linear_equiv'._proof_4 0.000191 s: fintype.decidable_bijective_fintype._proof_1 0.000146 s: fintype.decidable_injective_fintype._proof_1 0.000389 s: fintype.decidable_injective_fintype 0.000081 s: function.surjective.equations._eqn_1 0.000100 s: fintype.decidable_surjective_fintype._proof_1 0.004393 s: fintype.decidable_exists_fintype._proof_1 0.000278 s: fintype.decidable_exists_fintype 0.000272 s: fintype.decidable_surjective_fintype 0.000288 s: fintype.decidable_bijective_fintype 0.000849 s: pi.fintype._proof_1 0.000160 s: pi.fintype 0.000431 s: equiv.subtype_univ_equiv_apply 0.000791 s: finset.mk_coe 0.002827 s: finset.prod_attach_univ 0.008261 s: finset.sum_univ_pi 0.002741 s: finset.prod_univ_sum 0.001023 s: fintype.pi_finset_univ 0.000383 s: equiv.refl_apply 0.000865 s: equiv.swap_apply_self 0.004752 s: equiv.mul_swap_eq_iff 0.000995 s: equiv.mul_swap_mul_self 0.000337 s: equiv.mul_swap_involutive 0.021010 s: matrix.det_mul_aux 0.002822 s: equiv.mk.inj_arrow 0.000503 s: fintype.sum_equiv 0.000238 s: equiv.mul_right 0.001306 s: equiv.coe_mul_right 0.036850 s: matrix.det_mul 0.025310 s: matrix.det_diagonal 0.005743 s: matrix.det_one 0.006587 s: matrix.nonsing_inv_unit._proof_1 0.007453 s: matrix.nonsing_inv_unit._proof_2 0.000684 s: matrix.nonsing_inv_unit 0.012385 s: matrix.is_unit_iff_is_unit_det 0.000403 s: matrix.to_linear_equiv'._proof_5 0.022551 s: matrix.to_linear_equiv' 0.119058 s: matrix.lie_conj 0.142710 s: matrix.lie_conj.equations._eqn_1 0.019232 s: lie_equiv.trans_apply 0.135879 s: lie_equiv_matrix'_symm_apply 0.082656 s: linear_equiv.lie_conj_apply 0.044295 s: linear_equiv.conj_apply 0.031660 s: matrix.to_linear_equiv'_apply 0.025242 s: matrix.to_linear_equiv'_symm_apply 0.165294 s: lie_equiv_matrix'_apply 0.148721 s: matrix.lie_conj_apply 0.018905 s: associated.trans 0.000403 s: associated.setoid._proof_1 0.000208 s: associated.setoid 0.000028 s: associates 0.004423 s: associates.has_mul._match_1 0.000694 s: associates.has_mul._match_2 0.000158 s: associates.has_mul._proof_1 0.000324 s: associates.has_mul 0.001664 s: associates.comm_monoid._proof_1 0.000103 s: associates.has_one 0.001086 s: associates.comm_monoid._proof_2 0.000887 s: associates.comm_monoid._proof_3 0.000708 s: associates.comm_monoid._proof_4 0.000615 s: associates.comm_monoid._proof_5 0.001950 s: associates.comm_monoid._proof_6 0.002001 s: associates.comm_monoid._proof_7 0.002199 s: associates.comm_monoid._proof_8 0.002703 s: associates.comm_monoid 0.000128 s: associates.comm_monoid_with_zero._proof_1 0.000150 s: associates.comm_monoid_with_zero._proof_2 0.000092 s: associates.comm_monoid_with_zero._proof_3 0.000350 s: associates.comm_monoid_with_zero._proof_4 0.000295 s: associates.comm_monoid_with_zero._proof_5 0.000179 s: associates.comm_monoid_with_zero._proof_6 0.000152 s: associates.has_zero 0.000050 s: associates.mk 0.003649 s: associates.comm_monoid_with_zero._proof_7 0.003922 s: associates.comm_monoid_with_zero._proof_8 0.003481 s: associates.comm_monoid_with_zero 0.000158 s: associates.factor_set 0.000138 s: associates.preorder._proof_1 0.000175 s: associates.preorder._proof_2 0.000127 s: associates.preorder._proof_3 0.000717 s: associates.preorder 0.001656 s: associates.factor_set.prod._main 0.000056 s: associates.factor_set.prod 0.000467 s: units.coe_eq_one 0.000396 s: unit_associated_one 0.000586 s: associated_one_of_mul_eq_one 0.000683 s: associated_one_of_associated_mul_one 0.002036 s: associates.mul_eq_one_iff 0.001483 s: associates.units_eq_one 0.000436 s: associates.unique_units 0.000610 s: associates.coe_unit_eq_one 0.000725 s: associates.is_unit_iff_eq_one 0.000172 s: associates.one_eq_mk_one 0.000277 s: associates.mk_eq_mk_iff_associated 0.000856 s: associated_one_iff_is_unit 0.000490 s: associates.is_unit_mk 0.006143 s: associates.irreducible_mk 0.000206 s: associates.factors'._proof_1 0.001567 s: associated_mul_mul 0.004979 s: wf_dvd_monoid.exists_factors 0.001248 s: unique_factorization_monoid.exists_prime_factors 0.000820 s: unique_factorization_monoid.factors 0.000590 s: unique_factorization_monoid.factors.equations._eqn_1 0.001259 s: eq_zero_iff_of_associated 0.000227 s: ne_zero_iff_of_associated 0.002346 s: prime_of_associated 0.000113 s: prime_iff_of_associated 0.000326 s: normalize_associated 0.002230 s: unique_factorization_monoid.prime_of_factor 0.000317 s: unique_factorization_monoid.irreducible_of_factor 0.000177 s: associates.factors'._proof_2 0.000630 s: associates.factors' 0.000184 s: associates.quotient_mk_eq_mk 0.000382 s: associates.mk_eq_zero 0.000382 s: multiset.rel_refl_of_refl_on 0.000108 s: multiset.rel_eq_refl 0.000997 s: multiset.rel_eq 0.001950 s: multiset.rel_zero_left 0.003836 s: multiset.rel_map_left 0.000799 s: multiset.rel_map_right 0.000300 s: multiset.rel_map 0.000997 s: multiset.map_eq_map 0.000726 s: associates.factors'.equations._eqn_1 0.002804 s: multiset.map_pmap 0.003288 s: associates.map_subtype_coe_factors' 0.001261 s: associates.rel_associated_iff_map_eq_map 0.000057 s: irreducible.not_unit 0.001457 s: list.dvd_prod 0.000950 s: multiset.dvd_prod 0.008089 s: associated_mul_left_cancel 0.000721 s: not_irreducible_zero 0.001032 s: irreducible.ne_zero 0.000098 s: irreducible.is_unit_or_is_unit 0.005076 s: exists_associated_mem_of_dvd_prod 0.000680 s: dvd_iff_dvd_of_rel_right 0.005038 s: unique_factorization_monoid.factors_unique 0.000230 s: associates.mk_one 0.001892 s: associates.prod_mk 0.000392 s: associates.mk_normalize 0.002911 s: unique_factorization_monoid.factors_prod 0.002689 s: associates.factors'_cong 0.002891 s: associates.factors._proof_1 0.001587 s: associates.factors 0.000734 s: associates.factor_set.prod._main.equations._eqn_1 0.000243 s: associates.factor_set.prod.equations._eqn_1 0.001207 s: associates.factors_0 0.001945 s: associates.factor_set.prod._main.equations._eqn_2 0.001517 s: associates.factor_set.prod.equations._eqn_2 0.000118 s: associates.quot_mk_eq_mk 0.001864 s: associates.factors_mk 0.001985 s: list.prod_eq_zero_iff 0.001948 s: multiset.prod_eq_zero_iff 0.006458 s: associates.no_zero_divisors 0.001511 s: associates.nontrivial 0.001130 s: multiset.exists_multiset_eq_map_quot_mk 0.001148 s: multiset.induction_on_multiset_quot 0.000949 s: multiset.map_mk_eq_map_mk_of_rel 0.000199 s: multiset.mem_map_of_mem 0.004149 s: associates.unique' 0.001298 s: _private.3261533755.forall_map_mk_factors_irreducible 0.012343 s: associates.prod_factors 0.003915 s: associates.eq_of_prod_eq_prod 0.000966 s: associates.prod_top 0.002907 s: associates.prod_coe 0.004471 s: associates.factors_prod 0.000983 s: associates.eq_of_factors_eq_factors 0.000944 s: associates.factor_set.coe_add 0.006785 s: associates.prod_add 0.004316 s: associates.factors_mul 0.014787 s: associates.factors_mono 0.000188 s: associates.partial_order._proof_1 0.000206 s: associates.partial_order._proof_2 0.002508 s: associates.partial_order._proof_3 0.008123 s: associates.dvd_of_mk_le_mk 0.007822 s: associates.partial_order._proof_4 0.002960 s: associates.partial_order 0.000111 s: associates.order_top._proof_1 0.000185 s: associates.order_top._proof_2 0.000265 s: associates.order_top._proof_3 0.000307 s: associates.order_top._proof_4 0.003219 s: associates.order_top._proof_5 0.001486 s: associates.order_top 0.002227 s: associates.mul_mono 0.000501 s: associates.one_le 0.001388 s: associates.prod_le_prod 0.001249 s: multiset.map_le_map 0.009104 s: associates.prod_mono 0.003994 s: associates.prod_le 0.000036 s: linear_order.lt._default 0.000035 s: linear_ordered_comm_monoid.lt._default 0.000032 s: nat.upto 0.000072 s: nat.upto.has_lt 0.000402 s: nat.upto.succ._proof_1 0.000177 s: nat.upto.succ 0.000080 s: roption.fix_aux._proof_1 0.000329 s: roption.fix_aux 0.000419 s: roption.fix_aux.equations._eqn_1 0.000536 s: list.map_accumr₂._main 0.000098 s: list.map_accumr₂ 0.001121 s: list.map_accumr₂._main.equations._eqn_4 0.000342 s: list.map_accumr₂.equations._eqn_4 0.000098 s: matrix.vec_tail 0.000078 s: matrix.vec_head.equations._eqn_1 0.000160 s: matrix.vec_tail.equations._eqn_1 0.002946 s: matrix.dot_product_cons 0.001233 s: compact_space_of_finite_subfamily_closed 0.000922 s: prime_spectrum.is_open_iff 0.000847 s: prime_spectrum.is_closed_iff_zero_locus 0.003677 s: prime_spectrum.subset_zero_locus_iff_subset_vanishing_ideal 0.000269 s: is_closed.closure_subset_iff 0.000300 s: prime_spectrum.is_closed_zero_locus 0.001808 s: prime_spectrum.subset_zero_locus_vanishing_ideal 0.002044 s: prime_spectrum.zero_locus_vanishing_ideal_eq_closure 0.031692 s: prime_spectrum.zero_locus_supr 0.010206 s: prime_spectrum.zero_locus_empty_iff_eq_top 0.002661 s: set.Union_subset_iff 0.017483 s: submodule.supr_eq_span 0.003125 s: submodule.span_singleton_le_iff_mem 0.000509 s: le_supr_iff 0.007836 s: submodule.mem_supr 0.024206 s: submodule.exists_finset_of_mem_supr 0.013689 s: prime_spectrum.compact_space 0.000450 s: category_theory.limits.biprod.inr 0.000732 s: category_theory.limits.binary_biproduct_data.is_colimit 0.000341 s: category_theory.limits.binary_biproduct.is_colimit 0.000653 s: category_theory.limits.biprod.desc 0.000202 s: category_theory.limits.biprod.inl 0.000144 s: category_theory.limits.biprod.snd 0.003011 s: category_theory.limits.binary_bicone.inl_snd 0.000585 s: category_theory.limits.biprod.inl_snd 0.002104 s: category_theory.limits.biprod.inr_desc 0.001582 s: category_theory.limits.biprod.inr_mono._proof_1 0.001326 s: is_linear_map.rec_on 0.001286 s: is_free_group 0.000203 s: is_free_group.generators 0.000717 s: function.bijective_iff_exists_unique 0.000110 s: function.bijective.exists_unique 0.000896 s: free_group_is_free_group._proof_1 0.000620 s: free_group_is_free_group 0.000294 s: is_free_group.of 0.000727 s: is_free_group.unique_lift' 0.001215 s: is_free_group.lift'._proof_1 0.000857 s: is_free_group.lift'._proof_2 0.000981 s: is_free_group.lift' 0.000906 s: is_free_group.ext_hom' 0.000766 s: is_free_group.lift'_of 0.000246 s: monoid_hom.id_apply 0.002032 s: is_free_group.to_free_group._proof_1 0.000240 s: is_free_group.of_eq_free_group_of 0.002711 s: is_free_group.to_free_group._proof_2 0.000478 s: is_free_group.to_free_group._proof_3 0.002001 s: is_free_group.to_free_group 0.001148 s: free_group.ext_hom 0.000732 s: mul_equiv.coe_to_monoid_hom 0.001744 s: is_free_group.to_free_group_apply 0.004134 s: is_free_group.lift._proof_1 0.001091 s: free_group.lift_symm_apply 0.002138 s: is_free_group.to_free_group_symm_apply 0.003885 s: _private.2477787259.lift_right_inv_aux 0.001169 s: mul_equiv.symm_apply_apply 0.004211 s: is_free_group.lift._proof_2 0.001651 s: is_free_group.lift 0.005972 s: is_free_group.lift_eq_free_group_lift 0.000147 s: tactic.rewrite_search.dir_pair 0.001083 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_ 0.000033 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr 0.000009 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr 0.000016 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr 0.000006 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr 0.000006 s: tactic.rewrite_search.using_conv.app_addr 0.000012 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.none 0.000010 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.none 0.000015 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.some 0.000015 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.some 0.000019 s: _nest_2_1.tactic.rewrite_search._nest_1_1.tactic.rewrite_search.using_conv.app_addr.dir_pair 0.000635 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.rec 0.000067 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.rec 0.000053 s: tactic.rewrite_search.using_conv.app_addr.primitive.unpack 0.000046 s: tactic.rewrite_search.using_conv.app_addr.nested.unpack_0_0_0 0.000701 s: Module.colimits.colimit_type.add_comm_group._proof_1 0.002012 s: Module.colimits.colimit_type.add_comm_group._proof_2 0.016290 s: Module.colimits.colimit_type.add_comm_group._proof_3 0.005895 s: Module.colimits.colimit_type.add_comm_group._proof_4 0.004857 s: Module.colimits.colimit_type.add_comm_group._proof_5 0.005325 s: Module.colimits.colimit_type.add_comm_group._proof_6 0.010002 s: Module.colimits.colimit_type.add_comm_group._proof_8 0.011341 s: Module.colimits.colimit_type.add_comm_group._proof_9 0.000435 s: Module.colimits.colimit_type.add_comm_group._proof_10 0.016098 s: Module.colimits.colimit_type.add_comm_group._proof_11 0.007251 s: Module.colimits.colimit_type.add_comm_group._proof_12 0.005262 s: Module.colimits.colimit_type.add_comm_group._proof_13 0.009729 s: Module.colimits.colimit_type.add_comm_group._proof_14 0.010281 s: Module.colimits.colimit_type.add_comm_group._proof_15 0.057605 s: Module.colimits.colimit_type.add_comm_group._proof_16 0.126817 s: Module.colimits.colimit_type.add_comm_group._proof_17 0.067883 s: Module.colimits.colimit_type.add_comm_group._proof_18 0.157280 s: Module.colimits.colimit_type.add_comm_group 0.000575 s: Module.colimits.colimit_type.module._proof_1 0.014476 s: Module.colimits.colimit_type.module._proof_2 0.002464 s: Module.colimits.colimit_type.module._proof_3 0.013544 s: Module.colimits.colimit_type.module._proof_4 0.000527 s: Module.colimits.colimit_type.module._proof_5 0.035438 s: Module.colimits.colimit_type.module._proof_6 0.033223 s: Module.colimits.colimit_type.module._proof_7 0.022694 s: Module.colimits.colimit_type.module 0.000265 s: Module.colimits.colimit 0.000676 s: Module.colimits.prequotient.below 0.005371 s: Module.colimits.prequotient.brec_on 0.001041 s: Module.colimits.prequotient.cases_on 0.003702 s: Module.colimits.desc_fun_lift._main 0.000273 s: Module.colimits.desc_fun_lift 0.014329 s: Module.colimits.relation.drec 0.003697 s: Module.Module_concrete_category._proof_1 0.001851 s: Module.Module_concrete_category._proof_2 0.006603 s: Module.Module_concrete_category._proof_3 0.002967 s: Module.Module_concrete_category 0.082600 s: Module.colimits.desc_fun._proof_1 0.000839 s: Module.colimits.desc_fun 0.032914 s: Module.colimits.desc_morphism._proof_1 0.006217 s: dfinsupp.support._proof_1 0.000703 s: dfinsupp.support 0.000495 s: dfinsupp.sum 0.000637 s: dfinsupp.sum.equations._eqn_1 0.059765 s: mv_polynomial.restrict_degree 0.075603 s: mv_polynomial.restrict_degree.equations._eqn_1 0.000272 s: pSet 0.000080 s: pSet.ibelow 0.000354 s: pSet.binduction_on 0.169007 s: has_fderiv_within_at.mul 0.014176 s: has_fderiv_within_at_const 0.051518 s: has_fderiv_within_at.mul_const 0.030743 s: has_fderiv_at.mul_const 0.015213 s: differentiable_at.mul_const 0.002214 s: ring.direct_limit 0.000183 s: algebraic_closure.monic_irreducible 0.094418 s: algebraic_closure.eval_X_self 0.000184 s: algebraic_closure.span_eval 0.000223 s: algebraic_closure.span_eval.equations._eqn_1 0.000266 s: ideal.span.equations._eqn_1 0.061352 s: polynomial.exists_root_of_degree_eq_one 0.007696 s: rel_hom.acc 0.000292 s: rel_hom.well_founded 0.024858 s: polynomial.is_unit_C 0.034287 s: polynomial.is_unit_iff 0.107912 s: polynomial.wf_dvd_monoid 0.009239 s: is_unit_of_dvd_one 0.008003 s: dvd_and_not_dvd_iff 0.015850 s: ideal.span_singleton_lt_span_singleton 0.039337 s: is_noetherian_ring.wf_dvd_monoid 0.003768 s: ideal.is_prime_iff 0.011517 s: ideal.span_singleton_prime 0.048497 s: principal_ideal_ring.irreducible_iff_prime 0.020572 s: principal_ideal_ring.to_unique_factorization_monoid 0.127203 s: polynomial.is_unit_iff_degree_eq_zero 0.013815 s: polynomial.map_ne_zero 0.165384 s: polynomial.exists_root_of_splits 0.012173 s: polynomial.root_of_splits 0.002067 s: polynomial.splits_zero 0.017372 s: nat.with_bot.add_eq_zero_iff 0.043926 s: polynomial.splits_C 0.009685 s: polynomial.splits_one 0.078074 s: polynomial.splits_of_splits_mul 0.245754 s: polynomial.splits_mul 0.160587 s: polynomial.splits_mul_iff 0.013818 s: finset.prod_ne_zero_iff 0.162366 s: polynomial.splits_prod_iff 0.031957 s: nat.with_bot.add_eq_one_iff 0.042972 s: polynomial.splits_of_degree_eq_one 0.008206 s: polynomial.splits_of_degree_le_one 0.001989 s: polynomial.splits_id_iff_splits 0.154210 s: polynomial.splitting_field_aux.algebra_map_succ 0.024292 s: adjoin_root.algebra_map_eq 0.000253 s: adjoin_root.adjoin_root.has_coe_t 0.010974 s: adjoin_root.mk_C 0.000546 s: adjoin_root.mk_X 0.029345 s: adjoin_root.aeval_eq 0.097662 s: adjoin_root.mk_self 0.022857 s: adjoin_root.eval₂_root 0.153358 s: polynomial.factor_dvd_of_not_is_unit 0.067188 s: polynomial.factor_dvd_of_degree_ne_zero 0.000856 s: polynomial.factor_dvd_of_nat_degree_ne_zero 0.160314 s: polynomial.X_sub_C_mul_remove_factor 0.016165 s: polynomial.splits_X_sub_C 0.223783 s: polynomial.splitting_field_aux.splits 0.055565 s: polynomial.splitting_field.splits 0.135455 s: algebraic_closure.to_splitting_field._proof_1 0.014927 s: algebraic_closure.to_splitting_field._proof_2 0.257899 s: algebraic_closure.to_splitting_field 0.284888 s: algebraic_closure.to_splitting_field.equations._eqn_1 0.107826 s: algebraic_closure.eval_X_self.equations._eqn_1 0.011816 s: alg_hom.coe_to_ring_hom 0.004131 s: mv_polynomial.aeval_X 0.002370 s: alg_hom.comp_algebra_map 0.001989 s: polynomial.map_root_of_splits 0.277272 s: algebraic_closure.to_splitting_field_eval_X_self 0.175447 s: algebraic_closure.span_eval_ne_top 0.000648 s: algebraic_closure.max_ideal._proof_1 0.000449 s: algebraic_closure.max_ideal 0.042429 s: algebraic_closure.adjoin_monic 0.000651 s: algebraic_closure.max_ideal.is_maximal 0.030798 s: algebraic_closure.adjoin_monic.field 0.000192 s: algebraic_closure.step_aux 0.000037 s: algebraic_closure.step 0.000103 s: algebraic_closure.step.field 0.003245 s: nat.of_le_succ 0.006555 s: nat.le_rec_on._main 0.000069 s: nat.le_rec_on 0.072296 s: algebraic_closure.to_adjoin_monic 0.014694 s: algebraic_closure.to_step_succ 0.000980 s: nat.le_rec_on._main.equations._eqn_1 0.000172 s: nat.le_rec_on.equations._eqn_1 0.003815 s: nat.le_rec_on._main.equations._eqn_2 0.000572 s: nat.le_rec_on.equations._eqn_2 0.001796 s: nat.le_rec_on_self 0.001559 s: nat.le_rec_on_succ 0.694802 s: algebraic_closure.to_step_of_le._proof_1 0.010150 s: algebraic_closure.to_step_of_le._proof_2 0.011115 s: algebraic_closure.to_step_of_le._proof_3 0.012514 s: algebraic_closure.to_step_of_le._proof_4 0.003567 s: algebraic_closure.to_step_of_le 0.000977 s: algebraic_closure 0.001612 s: directed_system 0.001817 s: ring.direct_limit.comm_ring 0.001139 s: field.direct_limit.field._proof_1 0.000754 s: field.direct_limit.field._proof_2 0.000702 s: field.direct_limit.field._proof_3 0.000979 s: field.direct_limit.field._proof_4 0.001194 s: field.direct_limit.field._proof_5 0.002400 s: field.direct_limit.field._proof_6 0.001857 s: field.direct_limit.field._proof_7 0.001420 s: field.direct_limit.field._proof_8 0.001061 s: field.direct_limit.field._proof_9 0.000940 s: field.direct_limit.field._proof_10 0.000838 s: field.direct_limit.field._proof_11 0.001023 s: field.direct_limit.field._proof_12 0.000876 s: field.direct_limit.field._proof_13 0.000889 s: field.direct_limit.field._proof_14 0.000876 s: field.direct_limit.field._proof_15 0.000813 s: field.direct_limit.field._proof_16 0.000217 s: ring.direct_limit.ring 0.005513 s: ring.direct_limit.of._proof_1 0.006442 s: ring.direct_limit.of._proof_2 0.022065 s: ring.direct_limit.of._proof_3 0.016025 s: ring.direct_limit.of 0.000291 s: directed_order.directed 0.006548 s: ring.direct_limit.of_f 0.096071 s: ring.direct_limit.exists_of 0.013088 s: ring.direct_limit.induction_on 0.038965 s: field.direct_limit.exists_inv 0.006127 s: field.direct_limit.inv._proof_1 0.022822 s: field.direct_limit.inv 0.004613 s: field.direct_limit.field._proof_17 0.001396 s: field.direct_limit.field._proof_18 0.000861 s: field.direct_limit.field._proof_19 0.001155 s: field.direct_limit.field._proof_20 0.001182 s: field.direct_limit.field._proof_21 0.002539 s: field.direct_limit.field._proof_22 0.000098 s: free_comm_ring.is_supported 0.000870 s: free_comm_ring.restriction 0.001726 s: free_comm_ring.restriction_of 0.003620 s: monoid.exists_list_of_mem_closure 0.015662 s: ring.exists_list_of_mem_closure 0.010111 s: ring.in_closure.rec_on 0.002602 s: polynomial.nat_cast_coeff_zero 0.002993 s: polynomial.coeff_neg 0.007549 s: polynomial.int_cast_coeff_zero 0.003009 s: polynomial.int_cast_inj 0.022779 s: polynomial.C_eq_int_cast 0.109831 s: free_comm_ring.is_supported_of 0.000435 s: free_comm_ring.is_supported_sub 0.009295 s: directed_system.map_map 0.005975 s: free_comm_ring.is_supported_one 0.014487 s: free_comm_ring.is_supported_add 0.001165 s: free_comm_ring.is_supported_mul 0.002061 s: free_comm_ring.is_supported_zero 0.003245 s: set.monotone_image 0.002100 s: free_comm_ring.is_supported_upwards 0.031093 s: ring.direct_limit.of.zero_exact_aux2 0.055569 s: free_comm_ring.induction_on 0.000380 s: free_comm_ring.is_supported_neg 0.010876 s: free_comm_ring.exists_finite_support 0.000672 s: free_comm_ring.exists_finset_support 0.000476 s: finset.exists_le 0.208335 s: ring.direct_limit.of.zero_exact_aux 0.010833 s: ring.direct_limit.of.zero_exact 1.692915 s: field.direct_limit.nontrivial 0.005416 s: field.direct_limit.field._proof_23 0.037801 s: field.direct_limit.inv.equations._eqn_1 0.032399 s: field.direct_limit.mul_inv_cancel 0.006228 s: field.direct_limit.field._proof_24 0.125204 s: field.direct_limit.field._proof_25 0.089098 s: field.direct_limit.field 0.012042 s: nat.le_rec_on_trans 0.016082 s: algebraic_closure.to_step_of_le.directed_system 0.003694 s: algebraic_closure.field 0.000272 s: algebraic_closure.inhabited 0.000315 s: algebraic_closure.inhabited.equations._eqn_1 0.001912 s: opposite.algebra.equations._eqn_1 0.000092 s: equivalence.equations._eqn_1 0.003774 s: pseudo_metric.dist_setoid._proof_1 0.000156 s: pseudo_metric.dist_setoid 0.000133 s: pseudo_metric.dist_setoid.equations._eqn_1 0.000313 s: nnreal.has_Inf.equations._eqn_1 0.000119 s: option.cons 0.000446 s: option.cons_head_tail 0.000595 s: category_theory.limits.types.quot.rel 0.000104 s: category_theory.limits.types.quot 0.003035 s: category_theory.limits.types.colimit_cocone._proof_1 0.001822 s: category_theory.limits.types.colimit_cocone 0.005426 s: category_theory.limits.types.colimit_cocone_is_colimit._match_1 0.003728 s: category_theory.limits.types.colimit_cocone_is_colimit._match_2 0.002907 s: category_theory.limits.types.colimit_cocone_is_colimit._match_3 0.003590 s: category_theory.limits.types.colimit_cocone_is_colimit._proof_2 0.000177 s: matrix.vec_mul._main 0.000108 s: matrix.vec_mul 0.003238 s: matrix.empty_vec_mul 0.000199 s: witt_vector 0.000081 s: witt_vector.coeff 0.000165 s: witt_vector.select 0.000253 s: witt_vector.select.equations._eqn_1 0.001410 s: monoid_algebra.has_scalar 0.001974 s: monoid_algebra.single_one_ring_hom._proof_1 0.006156 s: monoid_algebra.single_one_ring_hom._proof_2 0.000303 s: monoid_algebra.single_one_ring_hom._proof_3 0.000275 s: monoid_algebra.single_one_ring_hom._proof_4 0.005403 s: monoid_algebra.single_one_ring_hom 0.000593 s: monoid_algebra.algebra._proof_1 0.000549 s: monoid_algebra.algebra._proof_2 0.000733 s: monoid_algebra.algebra._proof_3 0.000680 s: monoid_algebra.algebra._proof_4 0.002605 s: monoid_algebra.single_one_ring_hom_apply 0.000816 s: monoid_algebra.single_one_mul_apply 0.000795 s: monoid_algebra.mul_single_one_apply 0.007860 s: monoid_algebra.algebra._proof_5 0.011182 s: monoid_algebra.algebra._proof_6 0.002421 s: monoid_algebra.algebra 0.001939 s: alg_hom.to_linear_map_inj 0.063600 s: monoid_algebra.alg_hom_ext 0.057140 s: add_monoid_algebra.alg_hom_ext 0.000439 s: pfunctor.M.dest._main.equations._eqn_1 0.000189 s: pfunctor.M.dest.equations._eqn_1 0.005645 s: set.preimage_sub_const_Icc 0.000157 s: ordnode.rec_on 0.000501 s: ordnode.insert_min._main 0.000025 s: ordnode.insert_min 0.000277 s: ordnode.insert_max._main 0.000023 s: ordnode.insert_max 0.000072 s: ordnode.node' 0.000261 s: ordnode.link 0.000218 s: ordnode.merge 0.000228 s: ordnode.partition._match_1 0.000133 s: ordnode.partition._match_2 0.000528 s: ordnode.partition._main 0.000046 s: ordnode.partition 0.000131 s: ordnode.partition._sunfold 0.000731 s: filter.map_coe_Ici_at_top 0.001099 s: filter.at_top_Ici_eq 0.004749 s: filter.at_bot_Iic_eq 0.001447 s: filter.tendsto_Iic_at_bot 0.000048 s: nat.arithmetic_function 0.000167 s: nat.arithmetic_function.has_coe_to_fun 0.000373 s: nat.arithmetic_function.map_zero 0.000913 s: nat.arithmetic_function.has_add._proof_1 0.000210 s: nat.arithmetic_function.has_add 0.000294 s: nat.arithmetic_function.has_add.equations._eqn_1 0.001120 s: finset.filter_filter 0.001662 s: pgame.inv_ty 0.000182 s: pgame.inv_ty.sizeof 0.000483 s: subalgebra.to_intermediate_field._proof_6 0.000267 s: add_monoid_hom.eq_locus._proof_1 0.001462 s: category_theory.induced_functor.equations._eqn_1 0.004630 s: TopCommRing.has_forget_to_Top.equations._eqn_1 0.000367 s: normalize_one 0.000211 s: category_theory.limits.wide_pushout_shape.hom.no_confusion_type 0.000555 s: category_theory.limits.wide_pushout_shape.hom.no_confusion 0.000186 s: with_zero.add_comm_monoid._proof_1 0.000108 s: with_zero.add_comm_monoid._proof_2 0.000097 s: with_zero.add_comm_monoid._proof_3 0.000699 s: with_zero.add_comm_monoid._proof_4 0.000125 s: with_zero.add_comm_monoid._proof_6 0.001029 s: with_zero.add_comm_monoid 0.000172 s: with_zero.ordered_add_comm_monoid._proof_1 0.000146 s: with_zero.ordered_add_comm_monoid._proof_2 0.000087 s: with_zero.ordered_add_comm_monoid._proof_3 0.000551 s: with_zero.ordered_add_comm_monoid._proof_4 0.000372 s: with_zero.ordered_add_comm_monoid._proof_5 0.000188 s: with_zero.ordered_add_comm_monoid._proof_6 0.000115 s: with_zero.partial_order 0.000127 s: with_zero.ordered_add_comm_monoid._proof_7 0.000123 s: with_zero.ordered_add_comm_monoid._proof_8 0.000424 s: with_zero.ordered_add_comm_monoid._proof_9 0.000254 s: with_zero.ordered_add_comm_monoid._proof_10 0.000053 s: with_zero.order_bot 0.013525 s: with_zero.ordered_add_comm_monoid._proof_11 0.000048 s: with_zero.preorder 0.015808 s: with_zero.ordered_add_comm_monoid._proof_12 0.004206 s: with_zero.ordered_add_comm_monoid 0.000995 s: with_zero.canonically_ordered_add_monoid._proof_11 0.001708 s: category_theory.center.hom.comm' 0.000027 s: CommGroup 0.000097 s: CommGroup.comm_group.to_group.category_theory.bundled_hom.parent_projection 0.000287 s: CommGroup.large_category 0.000238 s: CommGroup.concrete_category 0.000373 s: CommGroup.has_forget_to_Group 0.000214 s: Group.has_forget_to_Mon 0.000169 s: Mon.has_limits.limit_cone_is_limit._proof_1 0.002862 s: Mon.has_limits.limit_cone_is_limit._proof_2 0.050791 s: Mon.has_limits.limit_cone_is_limit._proof_4 0.102611 s: Mon.has_limits.limit_cone_is_limit._proof_5 0.025116 s: Mon.has_limits.limit_cone_is_limit 0.000382 s: Mon.has_limits 0.000620 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000056 s: Group.of 0.002325 s: pi.group._proof_1 0.001704 s: pi.group._proof_2 0.001199 s: pi.group._proof_3 0.005194 s: pi.group._proof_4 0.004983 s: pi.group._proof_5 0.016529 s: pi.group._proof_6 0.026214 s: pi.group._proof_7 0.007183 s: pi.group 0.001020 s: Group.sections_subgroup._proof_1 0.000907 s: Group.sections_subgroup._proof_2 0.000251 s: pi.inv_apply 0.009832 s: Group.sections_subgroup._proof_3 0.059212 s: Group.sections_subgroup 0.002708 s: Group.limit_group 0.005499 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_2 0.004468 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_3 0.006267 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_4 0.007387 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_5 2.442165 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_6 1.308473 s: Group.category_theory.forget₂.category_theory.creates_limit 0.000613 s: Group.has_limits 0.000244 s: CommGroup.forget_preserves_limits._proof_1 0.004439 s: set.range_subset_singleton 0.000256 s: measure_theory.simple_func.const_zero 0.001253 s: measure_theory.simple_func.coe_piecewise 0.003360 s: set.piecewise_univ 0.001165 s: measure_theory.simple_func.piecewise_univ 0.001235 s: measure_theory.simple_func.coe_add 0.003093 s: set.support_indicator 0.001692 s: set.inf_eq_inter 0.006751 s: set.range_piecewise 0.001430 s: set.image_compl_preimage 0.002758 s: set.union_diff_distrib 0.000552 s: sdiff_sdiff_comm 0.000806 s: set.diff_diff_comm 0.003901 s: set.insert_diff_of_mem 0.001038 s: set.insert_diff_self_of_not_mem 0.002162 s: finset.coe_sdiff 0.024767 s: measure_theory.simple_func.induction 0.012450 s: measurable.ennreal_induction 0.001729 s: set.indicator_comp_right 0.000153 s: function.const_comp 0.006456 s: measurable.lintegral_prod_right' 0.000475 s: measurable.lintegral_prod_right 0.000088 s: list.is_prefix 0.000277 s: list.concat._main 0.000044 s: list.concat 0.000279 s: list.concat._main.equations._eqn_1 0.000096 s: list.concat.equations._eqn_1 0.000554 s: list.concat._main.equations._eqn_2 0.000085 s: list.concat.equations._eqn_2 0.002627 s: list.concat_eq_append 0.000170 s: list.prefix_append 0.000298 s: list.prefix_concat 0.000298 s: computation.lift_rel_aux._main 0.000142 s: computation.lift_rel_aux 0.000324 s: computation.lift_rel_aux._main.equations._eqn_3 0.000190 s: computation.lift_rel_aux.equations._eqn_3 0.042537 s: linear_map.automorphism_group._proof_1 0.004971 s: linear_map.automorphism_group._proof_2 0.001551 s: linear_map.automorphism_group._proof_3 0.003631 s: linear_map.automorphism_group._proof_4 0.001859 s: linear_map.automorphism_group._proof_5 0.005267 s: linear_map.automorphism_group._proof_6 0.003316 s: linear_map.automorphism_group._proof_7 0.040709 s: linear_map.automorphism_group._proof_8 0.005581 s: linear_map.automorphism_group._proof_9 0.001449 s: linear_map.automorphism_group._proof_10 0.006542 s: linear_map.automorphism_group._proof_11 0.003994 s: linear_map.automorphism_group._proof_12 0.082707 s: linear_map.automorphism_group._proof_13 0.098227 s: linear_map.automorphism_group._proof_14 0.031247 s: linear_map.automorphism_group 0.002461 s: lie_equiv.has_one._proof_1 0.000941 s: lie_equiv.has_one._proof_2 0.002218 s: lie_equiv.has_one._proof_3 0.000642 s: lie_equiv.has_one._proof_4 0.000530 s: lie_equiv.has_one._proof_5 0.001381 s: lie_equiv.has_one 0.000160 s: lie_equiv.inhabited 0.000348 s: lie_equiv.inhabited.equations._eqn_1 0.000563 s: list.mfilter._main 0.000045 s: list.mfilter 0.000054 s: monad.filter 0.000061 s: monad.filter.equations._eqn_1 0.000450 s: measure_theory.simple_func.add_comm_monoid._proof_1 0.000706 s: measure_theory.simple_func.add_comm_monoid._proof_2 0.001679 s: measure_theory.simple_func.add_comm_monoid 0.000135 s: measure_theory.simple_func.has_scalar 0.000236 s: measure_theory.simple_func.semimodule._proof_1 0.000392 s: measure_theory.simple_func.semimodule._proof_2 0.000923 s: measure_theory.simple_func.coe_smul 0.001031 s: measure_theory.simple_func.semimodule._proof_3 0.007029 s: measure_theory.simple_func.semimodule 0.000068 s: measure_theory.measure.inhabited 0.004860 s: measure_theory.simple_func.lintegralₗ._proof_1 0.021752 s: measure_theory.simple_func.lintegralₗ._proof_2 0.044177 s: measure_theory.simple_func.lintegralₗ._proof_3 0.091509 s: measure_theory.simple_func.lintegralₗ._proof_4 0.061251 s: measure_theory.simple_func.lintegralₗ 0.000801 s: with_bot.bounded_lattice._proof_7 0.000167 s: category_theory.over.post._proof_1 0.024392 s: category_theory.over.post._proof_2 0.051677 s: category_theory.over.post._proof_3 0.085810 s: category_theory.over.post._proof_4 0.022805 s: category_theory.over.post 0.002931 s: category_theory.right_adjoint_preserves_mono 0.000574 s: category_theory.is_equivalence.mono_map 0.001975 s: category_theory.split_mono.mono 0.000269 s: category_theory.mono_over.map_iso._proof_1 0.000273 s: category_theory.mono_over.map_iso._proof_2 0.000276 s: category_theory.mono_over.map_iso._proof_3 0.004093 s: category_theory.mono_over.lift_comp._proof_1 0.007777 s: category_theory.mono_over.map_comp._proof_1 0.002235 s: category_theory.preimage_iso._proof_1 0.001654 s: category_theory.preimage_iso._proof_2 0.000924 s: category_theory.preimage_iso 0.001036 s: category_theory.preimage_iso_hom 0.016711 s: category_theory.fully_faithful_cancel_right._proof_1 0.003159 s: category_theory.fully_faithful_cancel_right 0.018831 s: category_theory.mono_over.lift_iso 0.002452 s: category_theory.mono_over.map_comp._proof_2 0.008996 s: category_theory.mono_over.map_comp._proof_3 0.005877 s: category_theory.comma.iso_mk._proof_1 0.034065 s: category_theory.comma.iso_mk._proof_2 0.039473 s: category_theory.comma.iso_mk._proof_3 0.020162 s: category_theory.comma.iso_mk 0.000458 s: category_theory.costructured_arrow.iso_mk._proof_1 0.000537 s: category_theory.eq_to_iso.hom 0.006692 s: category_theory.costructured_arrow.iso_mk._proof_2 0.003814 s: category_theory.costructured_arrow.iso_mk 0.004153 s: category_theory.over.iso_mk 0.017264 s: category_theory.over.map_comp._proof_1 0.058348 s: category_theory.over.map_comp._proof_2 0.014574 s: category_theory.over.map_comp 0.007508 s: category_theory.mono_over.map_comp._proof_4 0.004026 s: category_theory.mono_over.lift_comp._proof_2 0.030221 s: category_theory.mono_over.lift_comp 0.021594 s: category_theory.mono_over.map_comp 0.000196 s: category_theory.mono_over.map_iso._proof_4 0.000156 s: category_theory.mono_over.map_iso._proof_5 0.004588 s: category_theory.mono_over.map_iso._proof_6 0.001244 s: category_theory.mono_over.lift_id._proof_1 0.000341 s: category_theory.mono_over.map_id._proof_1 0.007887 s: category_theory.over.map_id._proof_1 0.034670 s: category_theory.over.map_id._proof_2 0.007765 s: category_theory.over.map_id 0.001156 s: category_theory.mono_over.lift_id._proof_2 0.007300 s: category_theory.mono_over.lift_id 0.005138 s: category_theory.mono_over.map_id 0.000366 s: category_theory.mono_over.map_iso._proof_7 0.000163 s: category_theory.mono_over.map_iso._proof_8 0.000130 s: category_theory.mono_over.map_iso._proof_9 0.002513 s: category_theory.mono_over.map_iso._proof_10 0.010929 s: category_theory.mono_over.map_iso._proof_11 0.005151 s: category_theory.mono_over.map_iso 0.002731 s: category_theory.nat_iso.hom_app_is_iso 0.001532 s: category_theory.nat_iso.cancel_nat_iso_hom_left 0.061306 s: category_theory.mono_over.congr._proof_5 0.000219 s: small 0.000047 s: small.equiv_small 0.000047 s: shrink 0.000249 s: equiv_shrink._proof_1 0.000166 s: equiv_shrink 0.000271 s: small_sum 0.020674 s: category_theory.sieve.complete_lattice.equations._eqn_1 0.001748 s: list.sum_range_succ 0.002858 s: list.sum_range_succ' 0.001388 s: bool.bxor_assoc 0.001500 s: isometric.self_comp_symm 0.001029 s: rbnode.rev_fold._main 0.000053 s: rbnode.rev_fold 0.000163 s: rbtree.to_list._sunfold 0.000284 s: quadratic_form.polar.equations._eqn_1 0.001283 s: quadratic_form.polar_neg 0.001378 s: quadratic_form.polar_add_left' 0.000598 s: quadratic_form.polar_add_left 0.002135 s: quadratic_form.has_neg._proof_2 0.000192 s: filter.germ.semiring._proof_3 0.000700 s: mul_equiv.coe_to_mul_hom 0.004740 s: mul_equiv.to_Semigroup_iso._proof_1 0.005245 s: mul_equiv.to_Semigroup_iso._proof_2 0.001268 s: mul_equiv.to_Semigroup_iso 0.001410 s: mul_equiv.to_Semigroup_iso_inv 0.000198 s: is_coprime 0.000623 s: polynomial.separable 0.004623 s: is_coprime_one_left 0.028026 s: polynomial.separable_one 0.000434 s: polynomial.separable_def 0.016134 s: is_coprime.mul_left 0.003069 s: is_coprime.symm 0.000091 s: is_coprime_comm 0.003654 s: is_coprime.of_add_mul_left_left 0.003118 s: is_coprime.add_mul_left_left 0.000251 s: is_coprime.add_mul_left_right 0.000473 s: is_coprime.mul_right 0.000848 s: is_coprime.add_mul_right_left 0.000371 s: is_coprime.add_mul_right_right 0.001364 s: is_coprime.mul_add_right_right 0.077188 s: polynomial.separable.mul 0.014704 s: is_coprime.prod_left 0.002466 s: is_coprime.prod_right 0.038699 s: polynomial.separable_prod' 0.000326 s: lt_sub_left_of_add_lt 0.000364 s: normed_comm_ring.cases_on 0.000173 s: normed_comm_ring.no_confusion_type 0.000412 s: normed_comm_ring.no_confusion 0.000233 s: normed_comm_ring.mk.inj 0.000290 s: normed_comm_ring.mk.inj_arrow 0.044944 s: ennreal.sub_le_sub 0.000440 s: add_hom.cases_on 0.000259 s: add_hom.no_confusion_type 0.011496 s: is_coprime_one_right 0.025944 s: polynomial.separable_X_add_C 0.020681 s: polynomial.separable_X_sub_C 0.003759 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_ 0.002593 s: add_localization.r'._match_1 0.001976 s: add_submonoid.coe_add 0.005941 s: add_localization.r'._proof_1 0.006715 s: add_localization.r'._proof_2 0.001323 s: add_localization.r' 0.000691 s: add_submonoid.coe_zero 0.017105 s: add_localization.r_eq_r' 0.003274 s: add_localization.r_iff_exists 0.001356 s: add_localization.r_of_eq 0.000051 s: simplex_category 0.000082 s: simplex_category.len 0.000048 s: simplex_category.truncated 0.000023 s: simplex_category.mk 0.000084 s: simplex_category.len_mk 0.005730 s: simplex_category.truncated.inhabited._proof_1 0.000176 s: simplex_category.truncated.inhabited 0.000202 s: simplex_category.truncated.inhabited.equations._eqn_1 0.000028 s: affine.simplex.points_with_circumcenter_index.circumcenter_index.inj 0.000066 s: affine.simplex.points_with_circumcenter_index.circumcenter_index.inj_arrow 0.000158 s: int.ldiff._main 0.000010 s: int.ldiff 0.000042 s: int.bit 1.566672 s: int.bitwise_diff 0.003508 s: int.bit0_val 0.000136 s: int.bit1_val 0.002569 s: int.bit_val 0.001079 s: int.bit_coe_nat 0.000398 s: int.bitwise._main.equations._eqn_1 0.000093 s: int.bitwise.equations._eqn_1 0.000080 s: int.nat_bitwise.equations._eqn_1 0.001782 s: int.bit_neg_succ 0.000294 s: int.bitwise._main.equations._eqn_2 0.000073 s: int.bitwise.equations._eqn_2 0.000184 s: int.bitwise._main.equations._eqn_3 0.000065 s: int.bitwise.equations._eqn_3 0.000151 s: int.bitwise._main.equations._eqn_4 0.000055 s: int.bitwise.equations._eqn_4 0.008407 s: int.bitwise_bit 0.000787 s: int.ldiff_bit 0.000361 s: measure_theory.ae_eq_fun.add_comm_group._proof_1 0.000321 s: measure_theory.ae_eq_fun.add_comm_group._proof_2 0.000345 s: measure_theory.ae_eq_fun.add_comm_group._proof_3 0.000496 s: measure_theory.ae_eq_fun.add_comm_group._proof_4 0.000651 s: measure_theory.ae_eq_fun.add_comm_group._proof_5 0.000947 s: measure_theory.ae_eq_fun.add_comm_group._proof_6 0.000905 s: measure_theory.ae_eq_fun.add_comm_group._proof_7 0.000413 s: measure_theory.ae_eq_fun.add_comm_monoid._proof_1 0.000685 s: measure_theory.ae_eq_fun.add_comm_monoid._proof_2 0.004053 s: measure_theory.ae_eq_fun.add_comm_monoid 0.008070 s: measure_theory.ae_eq_fun.add_comm_group._proof_8 0.010089 s: measure_theory.ae_eq_fun.add_comm_group 0.000237 s: measure_theory.Lp.normed_group._proof_1 0.001933 s: measure_theory.Lp.has_coe_to_fun 0.001353 s: measure_theory.Lp.has_norm 0.002931 s: measure_theory.Lp.norm_def 0.002893 s: filter.limsup_congr 0.047402 s: ennreal.limsup_eq_zero_iff 0.000504 s: ennreal.ess_sup_eq_zero_iff 0.008329 s: measure_theory.snorm_ess_sup_eq_zero_iff 0.021034 s: measure_theory.ae_eq_zero_of_snorm'_eq_zero 0.006779 s: measure_theory.snorm'_congr_norm_ae 0.000407 s: measure_theory.snorm'_congr_ae 0.000954 s: measure_theory.snorm'_eq_zero_of_ae_zero 0.001336 s: measure_theory.snorm'_eq_zero_iff 0.029897 s: measure_theory.snorm_eq_zero_iff 0.006988 s: measure_theory.Lp.ae_measurable 0.006202 s: measure_theory.Lp.snorm_lt_top 0.001647 s: measure_theory.Lp.snorm_ne_top 0.004765 s: measure_theory.Lp.norm_zero 0.005901 s: measure_theory.Lp.norm_eq_zero_iff 0.007255 s: measure_theory.Lp.coe_fn_add 0.004552 s: measure_theory.Lp.coe_fn_neg 0.002399 s: measure_theory.Lp.norm_neg 0.035752 s: measure_theory.Lp.normed_group._proof_2 0.018204 s: measure_theory.Lp.normed_group 0.000106 s: fact_one_le_one_ennreal 0.001673 s: measure_theory.Lp.normed_group_L1 0.000126 s: measure_theory.L1.integral_clm._proof_1 0.000152 s: measure_theory.Lp.semimodule._proof_1 0.000097 s: measure_theory.Lp.semimodule._proof_2 0.000219 s: measure_theory.Lp.Lp_submodule._proof_1 0.000144 s: filter.germ.has_scalar 0.001982 s: filter.germ.coe_smul 0.001829 s: filter.germ.mul_action._proof_1 0.001656 s: filter.germ.mul_action._proof_2 0.000311 s: filter.germ.mul_action 0.004506 s: filter.germ.distrib_mul_action._proof_1 0.003898 s: filter.germ.distrib_mul_action._proof_2 0.000518 s: filter.germ.distrib_mul_action 0.017190 s: filter.germ.semimodule._proof_1 0.014632 s: filter.germ.semimodule._proof_2 0.005676 s: filter.germ.semimodule 0.001859 s: has_measurable_smul 0.000193 s: has_measurable_smul.measurable_const_smul 0.000462 s: measurable.const_smul' 0.000768 s: measurable.const_smul 0.002219 s: has_continuous_smul.has_measurable_smul 0.000961 s: measure_theory.ae_eq_fun.has_scalar._proof_1 0.001623 s: measure_theory.ae_eq_fun.has_scalar 0.000246 s: measure_theory.ae_eq_fun.semimodule._proof_1 0.000591 s: measure_theory.ae_eq_fun.semimodule._proof_2 0.001958 s: measure_theory.ae_eq_fun.smul_to_germ 0.006379 s: measure_theory.ae_eq_fun.semimodule 0.001090 s: measure_theory.Lp.Lp_submodule._proof_2 0.000146 s: measure_theory.Lp.Lp_submodule._proof_3 0.000059 s: measure_theory.Lp.Lp_submodule._proof_4 0.000355 s: measure_theory.Lp.Lp_submodule._proof_5 0.000124 s: measure_theory.Lp.Lp_submodule._proof_6 0.000716 s: measure_theory.Lp.Lp_submodule._proof_7 0.000877 s: measure_theory.Lp.Lp_submodule._proof_8 0.000569 s: add_subgroup.mem_carrier 0.005651 s: measure_theory.Lp.coe_mk 0.002832 s: measure_theory.ae_eq_fun.coe_fn_smul 0.000980 s: strict_mono_of_monotone_of_injective 0.001333 s: filter.le_Limsup_of_le 0.001148 s: filter.Limsup_le_of_le 0.003201 s: galois_connection.l_limsup_le 0.001002 s: rel_iso.rel_symm_apply 0.001227 s: order_iso.to_galois_connection 0.000599 s: order_embedding.monotone 0.001393 s: order_iso.monotone 0.003096 s: order_iso.limsup_apply 0.056533 s: ennreal.limsup_const_mul_of_ne_top 0.006666 s: filter.not_frequently 0.007013 s: filter.le_limsup_of_frequently_le 0.000160 s: filter.frequently.mono 0.000650 s: filter.not_eventually 0.079916 s: ennreal.limsup_const_mul 0.000434 s: ennreal.ess_sup_const_mul 0.008274 s: measure_theory.snorm_ess_sup_const_smul 0.057443 s: measure_theory.snorm'_const_smul 0.043515 s: measure_theory.snorm_const_smul 0.017338 s: measure_theory.Lp.mem_Lp_const_smul 0.017151 s: measure_theory.Lp.Lp_submodule._proof_9 0.022456 s: measure_theory.Lp.Lp_submodule 0.017114 s: measure_theory.Lp.semimodule._proof_3 0.012261 s: measure_theory.Lp.semimodule._proof_4 0.059661 s: measure_theory.Lp.semimodule 0.079946 s: measure_theory.L1.integral_clm._proof_2 0.000169 s: measure_theory.L1.integral_clm'._proof_1 0.000104 s: lim 0.000196 s: dense_inducing.dense 0.000298 s: dense_inducing.extend._proof_1 0.000147 s: dense_inducing.extend 0.010523 s: continuous_linear_map.extend._proof_1 0.002474 s: continuous_linear_map.extend._proof_2 0.003186 s: continuous_linear_map.extend._proof_3 0.000191 s: dense_range.closure_range 0.001157 s: is_closed_property 0.000936 s: dense_range.prod_map 0.000826 s: is_closed_property2 0.000259 s: dense_range.induction_on₂ 0.021731 s: continuous_linear_map.extend._proof_4 0.000141 s: dense_range.induction_on 0.019929 s: continuous_linear_map.extend._proof_5 0.000137 s: classical.epsilon_spec_aux 0.000081 s: classical.epsilon_spec 0.000308 s: le_nhds_Lim 0.003503 s: Lim_eq 0.000346 s: filter.tendsto.lim_eq 0.001652 s: dense_inducing.comap_nhds_ne_bot 0.000535 s: dense_inducing.extend_eq_of_tendsto 0.000119 s: dense_inducing.to_inducing 0.000281 s: dense_inducing.nhds_eq_comap 0.000602 s: dense_inducing.extend_eq_at 0.000630 s: uniformly_extend_of_ind 0.002086 s: continuous_linear_map.uniform_continuous 0.004367 s: continuous_linear_map.extend._proof_6 0.000259 s: dense_inducing.extend.equations._eqn_1 0.000382 s: tendsto_nhds_lim 0.001317 s: uniformly_extend_exists 0.001992 s: uniformly_extend_spec 0.001722 s: mem_nhds_right 0.017084 s: uniform_continuous_uniformly_extend 0.009352 s: continuous_linear_map.extend._proof_7 0.009892 s: continuous_linear_map.extend 0.005243 s: measure_theory.L1.simple_func._proof_1 0.002843 s: add_subgroup.coe_add 0.002151 s: measure_theory.ae_eq_fun.mk_add_mk 0.009198 s: measure_theory.L1.simple_func._match_1 0.005498 s: measure_theory.L1.simple_func._match_2 0.003095 s: measure_theory.L1.simple_func._proof_2 0.003570 s: measure_theory.L1.simple_func 0.000738 s: add_subgroup.semi_normed_group._proof_1 0.003623 s: add_subgroup.semi_normed_group 0.000743 s: add_subgroup.normed_group._proof_1 0.006593 s: add_subgroup.normed_group 0.080520 s: measure_theory.L1.simple_func.normed_group 0.000193 s: measure_theory.L1.simple_func.semimodule._proof_1 0.000069 s: measure_theory.L1.simple_func.semimodule._proof_2 0.007128 s: measure_theory.L1.simple_func.measure_theory.Lp.has_coe 0.000466 s: ae_measurable.const_smul' 0.000577 s: ae_measurable.const_smul 0.005835 s: measure_theory.ae_eq_fun.smul_mk 0.032281 s: measure_theory.L1.simple_func.has_scalar._proof_1 0.020446 s: measure_theory.L1.simple_func.has_scalar 0.004145 s: measure_theory.L1.simple_func.eq 0.014677 s: measure_theory.L1.simple_func.coe_smul 0.026801 s: measure_theory.L1.simple_func.semimodule._proof_3 0.023972 s: measure_theory.L1.simple_func.semimodule._proof_4 0.138272 s: measure_theory.L1.simple_func.semimodule._proof_5 0.139341 s: measure_theory.L1.simple_func.semimodule._proof_6 0.160550 s: measure_theory.L1.simple_func.semimodule._proof_7 0.171014 s: measure_theory.L1.simple_func.semimodule._proof_8 0.126702 s: measure_theory.L1.simple_func.semimodule 0.069098 s: measure_theory.L1.simple_func.norm_eq 0.034256 s: measure_theory.Lp.coe_fn_smul 0.000349 s: ennreal.coe_to_real 0.036028 s: measure_theory.Lp.norm_const_smul 0.010171 s: measure_theory.Lp.normed_space._proof_1 0.002495 s: measure_theory.Lp.normed_space 0.001275 s: measure_theory.Lp.normed_space_L1 0.023339 s: measure_theory.L1.simple_func.normed_space._proof_1 0.006280 s: measure_theory.L1.simple_func.normed_space 0.000089 s: measure_theory.L1.simple_func.integral_clm'._proof_1 0.001373 s: measure_theory.L1.simple_func.to_simple_func._proof_1 0.002935 s: measure_theory.L1.simple_func.to_simple_func 0.002200 s: measure_theory.L1.simple_func.integral 0.003163 s: measure_theory.L1.simple_func.integral.equations._eqn_1 0.101714 s: measure_theory.simple_func.integral_add 0.000309 s: measure_theory.ae_eq_fun.integrable 0.013927 s: measure_theory.L1.simple_func.measurable 0.004341 s: measure_theory.L1.simple_func.ae_measurable 0.000298 s: measure_theory.ae_eq_fun.integrable.equations._eqn_1 0.000326 s: measure_theory.integrable_congr 0.001022 s: measure_theory.ae_eq_fun.integrable_mk 0.000459 s: measure_theory.integrable.equations._eqn_1 0.035180 s: measure_theory.mem_ℒp_one_iff_integrable 0.014004 s: measure_theory.Lp.mem_ℒp 0.002594 s: measure_theory.L1.integrable_coe_fn 0.005686 s: measure_theory.L1.simple_func.integrable 0.002172 s: measure_theory.L1.simple_func.has_coe_to_fun 0.000300 s: measure_theory.mem_ℒp.to_Lp._proof_1 0.000603 s: measure_theory.snorm_ae_eq_fun 0.001068 s: measure_theory.mem_ℒp.snorm_mk_lt_top 0.006694 s: measure_theory.mem_ℒp.to_Lp 0.000356 s: measure_theory.integrable.to_L1._proof_1 0.001001 s: measure_theory.integrable.to_L1 0.006436 s: measure_theory.mem_ℒp.to_Lp.equations._eqn_1 0.012192 s: measure_theory.mem_ℒp.to_Lp_eq_to_Lp_iff 0.002494 s: measure_theory.integrable.to_L1_eq_to_L1_iff 0.001205 s: measure_theory.integrable.to_L1.equations._eqn_1 0.006215 s: measure_theory.Lp.coe_fn_mk 0.010772 s: measure_theory.Lp.to_Lp_coe_fn 0.004363 s: measure_theory.integrable.to_L1_coe_fn 0.009479 s: measure_theory.L1.simple_func.to_simple_func_eq_to_fun 0.004584 s: measure_theory.L1.simple_func.coe_coe 0.004924 s: measure_theory.L1.simple_func.coe_add 0.013296 s: measure_theory.L1.simple_func.add_to_simple_func 0.006629 s: measure_theory.L1.simple_func.integral_add 0.000302 s: measure_theory.simple_func.smul_eq_map 0.014008 s: measure_theory.simple_func.integral_smul 0.028906 s: measure_theory.L1.simple_func.smul_to_simple_func 0.010544 s: measure_theory.L1.simple_func.integral_smul 0.001566 s: measure_theory.Lp.has_dist 0.021551 s: measure_theory.L1.simple_func.dist_eq 0.004207 s: measure_theory.ae_eq_fun.coe_fn_sub 0.005246 s: measure_theory.Lp.coe_fn_sub 0.003394 s: measure_theory.Lp.dist_def 0.000731 s: edist_eq_coe_nnnorm_sub 0.036613 s: measure_theory.L1.dist_def 0.006109 s: ennreal.to_real_eq_to_real 0.001352 s: continuous.ae_measurable2 0.003827 s: with_top.add_lt_add_iff_right 0.045729 s: ennreal.add_lt_add_iff_right 0.024065 s: nnreal.half_lt_self 0.013888 s: ennreal.half_lt_self 0.076489 s: continuous_of_le_add_edist 0.000879 s: prod.emetric_space_max._proof_1 0.000434 s: prod.emetric_space_max._proof_2 0.000466 s: prod.emetric_space_max._proof_3 0.007511 s: prod.emetric_space_max._proof_4 0.004372 s: prod.emetric_space_max._proof_5 0.001021 s: prod.emetric_space_max 0.033117 s: continuous_edist 0.006204 s: ae_measurable.edist 0.003856 s: measure_theory.lintegral_edist_triangle 0.000177 s: measure_theory.integrable.ae_measurable 0.001589 s: measure_theory.has_finite_integral_iff_edist 0.000152 s: measure_theory.integrable.has_finite_integral 0.001283 s: measure_theory.lintegral_edist_lt_top 0.000810 s: measure_theory.lintegral_rw₂ 0.003976 s: measure_theory.L1.simple_func.lintegral_edist_to_simple_func_lt_top 0.006887 s: measure_theory.L1.simple_func.dist_to_simple_func 0.001240 s: edist_eq_coe_nnnorm 0.000918 s: measure_theory.lintegral_nnnorm_eq_lintegral_edist 0.003137 s: measure_theory.Lp.coe_fn_zero 0.008341 s: measure_theory.L1.simple_func.zero_to_simple_func 0.053837 s: measure_theory.L1.simple_func.norm_to_simple_func 0.000592 s: ae_measurable.norm 0.000216 s: nnnorm.equations._eqn_1 0.011848 s: nnnorm_norm 0.065159 s: measure_theory.has_finite_integral.norm 0.009445 s: measure_theory.integrable.norm 0.067713 s: measure_theory.L1.simple_func.norm_eq_integral 0.080485 s: measure_theory.simple_func.norm_integral_le_integral_norm 0.072262 s: measure_theory.L1.simple_func.norm_integral_le_norm 0.142509 s: measure_theory.L1.simple_func.integral_clm'._proof_2 0.174348 s: measure_theory.L1.simple_func.integral_clm' 0.000134 s: measure_theory.L1.simple_func.coe_to_L1._proof_1 0.000069 s: measure_theory.L1.simple_func.coe_to_L1._proof_2 0.086148 s: measure_theory.L1.simple_func.coe_to_L1._proof_3 0.093678 s: measure_theory.L1.simple_func.coe_to_L1._proof_4 0.000644 s: uniform_continuous_comap 0.012834 s: measure_theory.L1.simple_func.uniform_continuous 0.002603 s: measure_theory.L1.simple_func.coe_to_L1._proof_5 0.095299 s: measure_theory.L1.simple_func.coe_to_L1 0.000582 s: dense_embedding 0.000180 s: dense_embedding.to_dense_inducing 0.000156 s: uniform_embedding.inj 0.000419 s: uniform_embedding.embedding 0.000433 s: uniform_embedding.dense_embedding 0.000591 s: uniform_embedding_comap 0.015960 s: measure_theory.L1.simple_func.uniform_embedding 0.000265 s: sequential_closure 0.000624 s: sequential_space 0.000086 s: sequential_space.sequential_closure_eq_closure 0.001065 s: mem_closure_iff_seq_limit 0.000335 s: topological_space.first_countable_topology 0.004275 s: sequential_closure_subset_closure 0.000288 s: filter.has_antimono_basis.mono 0.003147 s: filter.has_antimono_basis.tendsto 0.003902 s: topological_space.first_countable_topology.sequential_space._match_1 0.000096 s: topological_space.first_countable_topology.nhds_generated_countable 0.000366 s: topological_space.first_countable_topology.sequential_space 0.000793 s: filter.is_countably_generated.comap 0.000328 s: uniform_space.first_countable_topology 0.000061 s: emetric.topological_space.first_countable_topology 0.002112 s: measure_theory.L1.simple_func.to_L1._proof_1 0.002255 s: measure_theory.L1.simple_func.to_L1 0.000629 s: measure_theory.simple_func.comp._proof_1 0.000322 s: measure_theory.simple_func.comp._proof_2 0.001133 s: measure_theory.simple_func.comp 0.000991 s: measurable_set.Inter_Prop 0.000666 s: measurable_set_lt' 0.002037 s: measurable_set_lt 0.000598 s: continuous.edist 0.000533 s: measurable_edist_right 0.001819 s: measure_theory.simple_func.nearest_pt_ind._main 0.000135 s: measure_theory.simple_func.nearest_pt_ind 0.000133 s: measure_theory.simple_func.nearest_pt 0.004255 s: set.countable_iff_exists_surjective 0.000699 s: topological_space.exists_dense_seq 0.000106 s: topological_space.dense_seq 0.000208 s: measure_theory.simple_func.approx_on._proof_1 0.001128 s: measure_theory.simple_func.approx_on 0.002417 s: measure_theory.Lp.measurable 0.000892 s: measure_theory.lintegral_nnnorm_add 0.002574 s: measure_theory.integrable.add' 0.000119 s: measure_theory.simple_func.has_sub 0.001942 s: measure_theory.simple_func.nearest_pt_zero 0.000270 s: measure_theory.simple_func.nearest_pt.equations._eqn_1 0.000705 s: measure_theory.simple_func.nearest_pt_ind._main._proof_1 0.001949 s: measure_theory.simple_func.nearest_pt_ind._main.equations._eqn_2 0.000535 s: measure_theory.simple_func.nearest_pt_ind.equations._eqn_2 0.022611 s: measure_theory.simple_func.nearest_pt_ind_succ 0.035397 s: measure_theory.simple_func.edist_nearest_pt_le 0.033170 s: measure_theory.simple_func.edist_approx_on_le 0.031017 s: measure_theory.simple_func.edist_approx_on_y0_le 0.007878 s: measure_theory.integrable.sub' 0.007658 s: measure_theory.simple_func.integrable_approx_on 0.064474 s: measure_theory.has_finite_integral_zero 0.007916 s: measure_theory.integrable_zero 0.005235 s: measure_theory.simple_func.integrable_approx_on_univ 0.006851 s: tendsto_iff_edist_tendsto_0 0.001428 s: measure_theory.Lp.has_edist 0.003726 s: measure_theory.Lp.edist_def 0.000186 s: filter.eventually_eq.neg 0.001440 s: filter.eventually_eq.sub 0.001889 s: measure_theory.mem_ℒp.coe_fn_to_Lp 0.003549 s: measure_theory.Lp.edist_to_Lp_to_Lp 0.039611 s: measure_theory.integrable.edist_to_L1_to_L1 0.019604 s: lt_mem_sets_of_Limsup_lt 0.022229 s: gt_mem_sets_of_Liminf_gt 0.014490 s: le_nhds_of_Limsup_eq_Liminf 0.000344 s: filter.is_bounded_ge_of_bot 0.048840 s: tendsto_of_liminf_eq_limsup 0.007574 s: filter.Liminf_le_of_le 0.000999 s: filter.Liminf_le_Limsup 0.008892 s: filter.liminf_le_limsup 0.008302 s: tendsto_of_le_liminf_of_limsup_le 0.001341 s: filter.Limsup_le_Limsup_of_le 0.000902 s: filter.is_bounded.is_cobounded_flip 0.000213 s: left_eq_sup 0.000702 s: forall_le_or_exists_lt_sup 0.000602 s: is_bounded_le_nhds 0.002618 s: cInf_intro 0.016403 s: Limsup_nhds 0.029184 s: Liminf_nhds 0.000503 s: cSup_le_cSup 0.006944 s: filter.Liminf_le_Liminf 0.000826 s: filter.Liminf_le_Liminf_of_le 0.004270 s: is_bounded_ge_nhds 0.000647 s: filter.is_bounded.mono 0.015562 s: Liminf_eq_of_le_nhds 0.000455 s: filter.tendsto.liminf_eq 0.012103 s: filter.has_basis.Limsup_eq_infi_Sup 0.007305 s: filter.limsup_eq_infi_supr_of_nat 0.010929 s: filter.liminf_eq_supr_infi_of_nat 0.002605 s: measure_theory.exists_measurable_superset 0.000183 s: measure_theory.to_measurable 0.000389 s: ae_seq_set 0.000055 s: ae_seq._proof_1 0.000408 s: ae_seq 0.000826 s: ae_seq.equations._eqn_1 0.001611 s: ae_seq.ae_seq_eq_mk_of_mem_ae_seq_set 0.000463 s: ae_seq_set.equations._eqn_1 0.000386 s: measure_theory.subset_to_measurable 0.001901 s: ae_seq.mk_eq_fun_of_mem_ae_seq_set 0.001094 s: ae_seq.ae_seq_eq_fun_of_mem_ae_seq_set 0.000411 s: measure_theory.measure_to_measurable 0.001873 s: ae_seq.measure_compl_ae_seq_set_eq_zero 0.004672 s: ae_seq.supr 0.000316 s: measure_theory.measurable_set_to_measurable 0.000627 s: ae_seq.ae_seq_set_measurable_set 0.000296 s: measurable_of_not_nonempty 0.002368 s: ae_seq.measurable 0.003882 s: ae_seq.prop_of_mem_ae_seq_set 0.002584 s: ae_seq.ae_seq_eq_fun_ae 0.000850 s: ae_seq.ae_seq_n_eq_fun_n_ae 0.008570 s: measure_theory.lintegral_supr' 0.000271 s: subsingleton.ae_measurable 0.002339 s: ae_measurable_zero_measure 0.003955 s: measurable.is_glb 0.000983 s: ae_seq.fun_prop_of_mem_ae_seq_set 0.001196 s: measure_theory.ite_ae_eq_of_measure_compl_zero 0.005480 s: _private.1728115319.ae_measurable.is_glb_of_nonempty 0.003657 s: ae_measurable.is_glb 0.000105 s: measure_theory.ae_of_all 0.008984 s: ae_measurable_infi 0.003019 s: ae_measurable_binfi 0.001095 s: monotone.le_map_supr2 0.045054 s: monotone.map_infi2_le 0.070414 s: measure_theory.le_infi2_lintegral 0.019945 s: measure_theory.lintegral_liminf_le' 0.000967 s: measure_theory.lintegral_liminf_le 0.061173 s: measure_theory.supr2_lintegral_le 0.007434 s: ennreal.add_right_inj 0.004169 s: ennreal.add_left_inj 0.025034 s: ennreal.sub_le_self 0.003975 s: ennreal.sub_sub_cancel 0.001105 s: ennreal.sub_right_inj 0.001505 s: measure_theory.lintegral_sub 0.011530 s: measurable_infi 0.032954 s: ennreal.infi_add 0.016110 s: ennreal.sub_infi 0.033186 s: measure_theory.lintegral_supr_ae 0.029309 s: measure_theory.lintegral_infi_ae 0.004771 s: measure_theory.lintegral_infi 0.003414 s: measurable_bsupr 0.018272 s: supr_le_supr_of_subset 0.020040 s: measure_theory.limsup_lintegral_le 0.031615 s: Limsup_eq_of_le_nhds 0.000442 s: filter.tendsto.limsup_eq 0.058856 s: measure_theory.tendsto_lintegral_of_dominated_convergence 0.000708 s: measure_theory.simple_func.measurable_bind 0.003716 s: filter.tendsto.edist 0.002361 s: measure_theory.simple_func.approx_on.equations._eqn_1 0.000968 s: measure_theory.simple_func.coe_comp 0.008193 s: measure_theory.simple_func.tendsto_nearest_pt 0.001609 s: nat.zero_union_range_succ 0.000698 s: nat.range_of_succ 0.000322 s: nat.range_cases_on 0.000532 s: is_closed_union 0.000269 s: monotone.le_map_sup 0.008052 s: closure_union 0.000183 s: topological_space.dense_range_dense_seq 0.004943 s: measure_theory.simple_func.tendsto_approx_on 0.008011 s: measure_theory.simple_func.tendsto_approx_on_L1_edist 0.003027 s: measure_theory.simple_func.tendsto_approx_on_univ_L1_edist 0.029698 s: measure_theory.simple_func.tendsto_approx_on_univ_L1 0.012605 s: measure_theory.L1.simple_func.dense_embedding 0.003268 s: measure_theory.L1.simple_func.dense_inducing 0.002281 s: measure_theory.L1.simple_func.dense_range 0.002202 s: measure_theory.L1.simple_func.uniform_inducing 0.064833 s: measure_theory.L1.integral_clm' 0.076135 s: measure_theory.L1.integral_clm._proof_3 0.075110 s: measure_theory.L1.integral_clm._proof_4 0.125268 s: measure_theory.L1.integral_clm 0.082615 s: measure_theory.L1.integral 0.008765 s: measure_theory.integral 0.002445 s: measure_theory.integral_eq 0.001063 s: measure_theory.integral_undef 0.002117 s: measure_theory.integral_congr_ae 0.026096 s: measure_theory.measure.preimage_null_of_map_null 0.009643 s: measure_theory.measure.tendsto_ae_map 0.001418 s: measure_theory.measure.quasi_measure_preserving.measurable 0.001814 s: measure_theory.measure.ae_le_iff_absolutely_continuous 0.000192 s: measure_theory.measure.absolutely_continuous.ae_le 0.001270 s: measure_theory.measure.quasi_measure_preserving.absolutely_continuous 0.000840 s: measure_theory.measure.quasi_measure_preserving.ae_map_le 0.000962 s: measure_theory.measure.quasi_measure_preserving.tendsto_ae 0.001356 s: measure_theory.measure.quasi_measure_preserving.ae 0.000517 s: measure_theory.measure.quasi_measure_preserving.ae_eq 0.001437 s: measure_theory.ae_eq_comp' 0.000206 s: measure_theory.measure.absolutely_continuous.rfl 0.000701 s: measure_theory.ae_eq_comp 0.001242 s: ae_measurable.comp_measurable 0.001087 s: measure_theory.measure.restrict_restrict 0.000548 s: measure_theory.measure.restrict_congr_mono 0.000268 s: set.finite.measurable_set_bUnion 0.001236 s: finset.measurable_set_bUnion 0.001086 s: measure_theory.measure.restrict_empty 0.006963 s: supr_or 0.007852 s: supr_sup_eq 0.002412 s: finset.supr_union 0.001681 s: finset.supr_insert 0.002717 s: finset.set_bUnion_insert 0.001407 s: measure_theory.measure.restrict_congr_meas 0.001778 s: measure_theory.measure.restrict_union_congr 0.004040 s: measure_theory.measure.restrict_finset_bUnion_congr 0.005634 s: measure_theory.measure.restrict_Union_congr 0.002352 s: measure_theory.measure.restrict_bUnion_congr 0.001004 s: measure_theory.measure.ext_iff_of_bUnion_eq_univ 0.000623 s: measure_theory.measure.ext_iff_of_sUnion_eq_univ 0.000410 s: measure_theory.measure.ext_of_sUnion_eq_univ 0.010645 s: measure_theory.measure.ext_of_generate_from_of_cover 0.003182 s: measure_theory.measure.ext_of_generate_from_of_cover_subset 0.001892 s: measure_theory.measure.ext_of_generate_from_of_Union 0.000822 s: measure_theory.measure.finite_spanning_sets_in.ext 0.000500 s: measure_theory.measure.finite_spanning_sets_in.is_countably_spanning 0.004143 s: measure_theory.measure.prod_eq_generate_from 0.001780 s: measure_theory.measure.prod_eq 0.004268 s: measure_theory.measure.prod_swap 0.001309 s: ae_measurable.prod_swap 0.001770 s: measure_theory.lintegral_map' 0.001427 s: measure_theory.lintegral_prod_swap 0.003451 s: measure_theory.integrable.swap 0.002492 s: measure_theory.integrable_swap_iff 0.000859 s: measure_theory.has_finite_integral_congr' 0.000461 s: measure_theory.has_finite_integral_congr 0.009275 s: measure_theory.lintegral_prod_of_measurable 0.000437 s: measurable.nnnorm 0.000355 s: measurable.ennnorm 0.001964 s: lipschitz_with.comp_Lp._proof_1 0.000121 s: ennreal.of_real_coe_nnreal 0.002981 s: nnreal.nnnorm_eq 0.000854 s: measure_theory.snorm_norm 0.004757 s: nnreal.abs_eq 0.000413 s: nnreal.norm_eq 0.094241 s: measure_theory.snorm_le_mul_snorm_aux_of_nonneg 0.018436 s: nonpos_of_mul_nonneg_right 0.024010 s: measure_theory.snorm_le_mul_snorm_aux_of_neg 0.037065 s: measure_theory.snorm_le_mul_snorm_of_ae_le_mul 0.000380 s: measure_theory.mem_ℒp.snorm_ne_top 0.067170 s: measure_theory.mem_ℒp.of_le_mul 0.010955 s: measure_theory.Lp.mem_Lp_of_ae_le_mul 0.008575 s: lipschitz_with.comp_Lp._proof_2 0.003972 s: lipschitz_with.comp_Lp 0.000557 s: monotone.const_add 0.014300 s: max_add_add_left 0.040333 s: abs_max_sub_max_le_abs 0.078401 s: measure_theory.Lp.lipschitz_with_pos_part 0.012675 s: measure_theory.Lp.pos_part._proof_1 0.068527 s: measure_theory.Lp.pos_part 0.077339 s: measure_theory.Lp.neg_part 0.009834 s: measure_theory.integral.equations._eqn_1 0.005799 s: measure_theory.Lp.ext 0.005896 s: measure_theory.Lp.eq_zero_iff_ae_eq_zero 0.057300 s: measure_theory.Lp.norm_le_mul_norm_of_ae_le_mul 0.014032 s: lipschitz_with.coe_fn_comp_Lp 0.010572 s: lipschitz_with.norm_comp_Lp_sub_le 0.039053 s: lipschitz_with.lipschitz_with_comp_Lp 0.010881 s: lipschitz_with.continuous_comp_Lp 0.068750 s: measure_theory.Lp.continuous_pos_part 0.108510 s: measure_theory.Lp.continuous_neg_part 0.000141 s: measure_theory.simple_func.pos_part 0.000261 s: measure_theory.simple_func.pos_part.equations._eqn_1 0.014489 s: measurable.max 0.002093 s: ae_measurable.max 0.000346 s: measure_theory.ae_eq_fun.pos_part._proof_1 0.000338 s: measure_theory.ae_eq_fun.pos_part 0.071498 s: measure_theory.Lp.coe_pos_part 0.012756 s: measure_theory.ae_eq_fun.pos_part_mk 0.071018 s: measure_theory.L1.simple_func.pos_part._proof_1 0.082833 s: measure_theory.L1.simple_func.pos_part 0.078366 s: measure_theory.L1.simple_func.neg_part 0.000139 s: measure_theory.L1.simple_func.integral_clm._proof_1 0.080887 s: measure_theory.L1.simple_func.integral_clm._proof_2 0.080399 s: measure_theory.L1.simple_func.integral_clm._proof_3 0.075011 s: measure_theory.L1.simple_func.integral_clm._proof_4 0.116712 s: measure_theory.L1.simple_func.integral_clm 0.318049 s: measure_theory.L1.simple_func.integral_L1_eq_integral 0.075964 s: measure_theory.L1.simple_func.coe_pos_part 0.078761 s: measure_theory.L1.simple_func.coe_neg_part 0.000611 s: measure_theory.simple_func.add_group._proof_1 0.000723 s: measure_theory.simple_func.add_group._proof_2 0.000454 s: measure_theory.simple_func.add_group._proof_3 0.001123 s: measure_theory.simple_func.coe_sub 0.000394 s: measure_theory.simple_func.add_group._proof_4 0.016167 s: measure_theory.simple_func.add_group 0.001799 s: measure_theory.has_finite_integral.neg 0.000977 s: measure_theory.integrable.neg 0.073669 s: measure_theory.simple_func.integral_neg 0.014957 s: measure_theory.simple_func.integral_sub 0.140087 s: measure_theory.has_finite_integral.max_zero 0.019955 s: measure_theory.integrable.max_zero 0.001669 s: measure_theory.ae_eq_fun.coe_fn_pos_part 0.070494 s: measure_theory.Lp.coe_fn_pos_part 0.085457 s: measure_theory.L1.simple_func.pos_part_to_simple_func 0.021043 s: measure_theory.simple_func.pos_part_map_norm 0.000124 s: measure_theory.simple_func.neg_part 0.067625 s: measure_theory.L1.simple_func.neg_part.equations._eqn_1 0.000361 s: measure_theory.simple_func.neg_part.equations._eqn_1 0.015422 s: measure_theory.L1.simple_func.coe_neg 0.008041 s: measure_theory.L1.simple_func.neg_to_simple_func 0.071506 s: measure_theory.L1.simple_func.neg_part_to_simple_func 0.000503 s: measure_theory.simple_func.neg_part_map_norm 0.031240 s: max_zero_sub_eq_self 0.032258 s: measure_theory.simple_func.pos_part_sub_neg_part 0.137018 s: measure_theory.L1.simple_func.integral_eq_norm_pos_part_sub 0.161470 s: measure_theory.L1.integral_eq_norm_pos_part_sub 0.056606 s: measure_theory.L1.norm_def 0.007473 s: measure_theory.integrable.coe_fn_to_L1 0.068360 s: measure_theory.Lp.neg_part.equations._eqn_1 0.082997 s: measure_theory.Lp.coe_fn_neg_part_eq_max 0.032317 s: monotone.map_min 0.031383 s: max_neg_neg 0.081357 s: measure_theory.Lp.coe_fn_neg_part 0.146068 s: measure_theory.integral_eq_lintegral_max_sub_lintegral_min 0.000329 s: embedding.continuous_iff 0.000470 s: ennreal.continuous_coe_iff 0.000914 s: ennreal.continuous_of_real 0.000236 s: ennreal.measurable_of_real 0.022073 s: measurable.min 0.001806 s: ae_measurable.min 0.138401 s: measure_theory.integral_eq_lintegral_of_nonneg_ae 0.000423 s: measurable.norm 0.015316 s: real.ennnorm_eq_of_real 0.010532 s: ennreal.not_lt_top 0.000328 s: top_apply 0.037471 s: measure_theory.ae_lt_top 0.146611 s: measure_theory.has_finite_integral_prod_iff 0.000279 s: filter.eventually_le.trans_eq 0.017078 s: measure_theory.measure.measure_prod_null 0.034604 s: measure_theory.measure.measure_ae_null_of_prod_null 0.010000 s: measure_theory.measure.ae_ae_of_ae_prod 0.128441 s: measure_theory.has_finite_integral_prod_iff' 0.018326 s: ae_measurable.prod_mk_left 0.000547 s: filter.has_countable_basis 0.001182 s: measurable_of_is_open 0.000809 s: measurable_of_is_closed 0.000963 s: measurable_of_is_closed' 0.000068 s: metric.inf_nndist 0.000211 s: metric.coe_inf_nndist 0.000378 s: ennreal.measurable_to_nnreal 0.000188 s: measurable.to_nnreal 0.000263 s: measurable_ennreal_coe_iff 0.001629 s: tendsto_pi 0.002161 s: filter.has_basis.limsup_eq_infi_supr 0.010325 s: filter.has_basis.liminf_eq_supr_infi 0.000133 s: filter.has_countable_basis.to_has_basis 0.000086 s: filter.has_countable_basis.countable 0.003840 s: measurable_binfi 0.001479 s: measurable_liminf' 0.049397 s: measurable_of_tendsto_nnreal' 0.083314 s: lipschitz_with.of_le_add_mul' 0.009557 s: lipschitz_with.of_le_add_mul 0.006808 s: lipschitz_with.of_le_add 0.001730 s: emetric.inf_edist_empty 0.000654 s: metric.inf_dist_empty 0.000795 s: binfi_le_binfi 0.008298 s: emetric.inf_edist_le_inf_edist_add_edist 0.003899 s: metric.inf_dist_le_inf_dist_add_dist 0.003055 s: metric.lipschitz_inf_nndist_pt 0.000384 s: metric.uniform_continuous_inf_nndist_pt 0.000991 s: metric.continuous_inf_nndist_pt 0.000205 s: measurable_inf_nndist 0.000417 s: measurable.inf_nndist 0.067207 s: measurable_of_tendsto_metric' 0.000686 s: filter.at_top_countable_basis 0.018062 s: measurable_of_tendsto_metric 0.078839 s: measure_theory.simple_func.integral_eq_sum_filter 0.021784 s: disjoint_top 0.013770 s: set.disjoint_univ 0.001641 s: set.preimage_eq_empty 0.076050 s: measure_theory.simple_func.integral_eq_sum_of_subset 0.000266 s: has_measurable_smul.measurable_smul_const 0.000475 s: measurable.smul_const 0.000673 s: ennreal.measurable_to_real 0.000204 s: measurable.to_real 0.000563 s: measurable.of_uncurry_left 0.015134 s: measurable_set_integrable 0.003530 s: measure_theory.L1.simple_func.to_L1_eq_to_L1 0.002370 s: measure_theory.L1.simple_func.integral_eq_integral 0.003721 s: measure_theory.L1.simple_func.to_simple_func_to_L1 0.003324 s: measure_theory.simple_func.integral_eq_integral 0.006945 s: measure_theory.has_finite_integral.mono' 0.000908 s: measure_theory.integrable.mono' 0.001329 s: measure_theory.integrable.add 0.004350 s: measure_theory.simple_func.norm_approx_on_zero_le 0.082705 s: measure_theory.L1.integral_neg 0.013352 s: measure_theory.integrable_neg_iff 0.008346 s: measure_theory.integral_neg 0.084593 s: measure_theory.L1.integral_add 0.023299 s: measure_theory.integral_add 0.002446 s: measure_theory.integral_sub 0.000561 s: measure_theory.all_ae_of_real_F_le_bound 0.000373 s: ennreal.tendsto_of_real 0.001124 s: measure_theory.all_ae_tendsto_of_real_norm 0.000376 s: le_of_tendsto' 0.004293 s: measure_theory.all_ae_of_real_f_le_bound 0.005895 s: measure_theory.has_finite_integral_iff_of_real 0.001565 s: measure_theory.has_finite_integral_of_dominated_convergence 0.003111 s: measure_theory.Lp.norm_to_Lp 0.037904 s: measure_theory.integrable.norm_to_L1 0.008426 s: measure_theory.lintegral_norm_eq_lintegral_edist 0.002268 s: measure_theory.integrable.norm_to_L1_eq_lintegral_norm 0.000450 s: antilipschitz_with.of_le_mul_dist 0.002514 s: linear_map.antilipschitz_of_bound 0.009884 s: continuous_linear_map.uniform_embedding_of_bound 0.002381 s: filter.eventually_comap 0.001978 s: dense_inducing.extend_unique_at 0.000777 s: dense_inducing.extend_unique 0.000617 s: uniformly_extend_unique 0.007585 s: continuous_linear_map.extend_unique 0.003247 s: continuous_linear_map.extend_zero 0.115962 s: continuous_linear_map.op_norm_extend_le 0.433455 s: measure_theory.L1.simple_func.norm_Integral_le_one 0.406799 s: measure_theory.L1.norm_Integral_le_one 0.217202 s: measure_theory.L1.norm_integral_le 0.023508 s: measure_theory.norm_integral_le_lintegral_norm 0.000478 s: ennreal.tendsto_to_real 0.009189 s: measure_theory.tendsto_lintegral_of_dominated_convergence' 0.001045 s: ae_measurable.sub 0.000452 s: has_continuous_sub.has_measurable_sub₂ 0.044898 s: measure_theory.tendsto_lintegral_norm_of_dominated_convergence 0.012454 s: measure_theory.tendsto_integral_of_dominated_convergence 0.000264 s: function.uncurry_apply_pair 0.092205 s: measurable.integral_prod_right 0.012250 s: measurable.integral_prod_right' 0.005609 s: ae_measurable.integral_prod_right' 0.129599 s: measure_theory.integrable_prod_iff 0.148549 s: measure_theory.integrable_prod_iff' 0.156569 s: measure_theory.integrable.prod_left_ae 0.013678 s: measure_theory.integrable.prod_right_ae 0.002446 s: measure_theory.integral_fn_integral_add 0.000747 s: measure_theory.integrable.mono 0.143804 s: measure_theory.integrable.integral_norm_prod_left 0.000058 s: not_and_of_not_left 0.017224 s: measure_theory.integral_non_ae_measurable 0.149682 s: measure_theory.integral_nonneg_of_ae 0.158174 s: measure_theory.norm_integral_le_integral_norm 0.158322 s: measure_theory.integrable.integral_prod_left 0.020730 s: measure_theory.integral_integral_add 0.001229 s: Ring.limit_cone_is_limit.equations._eqn_1 0.000093 s: fin_congr._proof_1 0.000157 s: encodable.fin.equations._eqn_1 0.000491 s: mv_polynomial.map 0.002628 s: mv_polynomial.map_monomial 0.003431 s: mv_polynomial.map_C 0.001084 s: mv_polynomial.map_X 0.004203 s: mv_polynomial.eval₂_comp_right 0.000573 s: algebraic_geometry.PresheafedSpace 0.000130 s: algebraic_geometry.PresheafedSpace.carrier 0.000171 s: algebraic_geometry.PresheafedSpace.presheaf 0.000845 s: algebraic_geometry.SheafedSpace 0.000205 s: algebraic_geometry.SheafedSpace.to_PresheafedSpace 0.000238 s: topological_space.open_nhds 0.000190 s: topological_space.open_nhds.equations._eqn_1 0.000235 s: topological_space.open_nhds.open_nhds_category._proof_1 0.000212 s: topological_space.open_nhds.open_nhds_category 0.000919 s: topological_space.open_nhds.inclusion 0.002055 s: category_theory.limits.colim._proof_1 0.009577 s: category_theory.limits.colim._proof_2 0.001247 s: category_theory.limits.colim 0.001079 s: category_theory.limits.has_colimits.has_colimits_of_shape 0.000129 s: category_theory.limits.has_colimits_of_shape_of_has_colimits 0.000200 s: Top.presheaf.stalk_functor._proof_1 0.000948 s: Top.presheaf.stalk_functor 0.000130 s: Top.presheaf.stalk 0.001142 s: algebraic_geometry.LocallyRingedSpace 0.000313 s: algebraic_geometry.LocallyRingedSpace.cases_on 0.000331 s: algebraic_geometry.LocallyRingedSpace.no_confusion_type 0.000128 s: d_array.cases_on 0.000316 s: equiv.d_array_equiv_fin._match_1 0.000075 s: equiv.d_array_equiv_fin._proof_1 0.000134 s: equiv.d_array_equiv_fin._proof_2 0.000287 s: equiv.d_array_equiv_fin 0.000064 s: equiv.array_equiv_fin 0.000119 s: equiv.array_equiv_fin.equations._eqn_1 0.001250 s: supr_insert 0.000614 s: supr_pair 0.001295 s: mul_semiring_action 0.000280 s: mul_semiring_action.to_distrib_mul_action 0.003093 s: mul_semiring_action_hom 0.000713 s: mul_action_hom 0.000224 s: mul_action_hom.to_fun 0.000172 s: mul_action_hom.has_coe_to_fun 0.000376 s: mul_action_hom.map_smul' 0.000402 s: mul_action_hom.map_smul 0.000802 s: mul_action_hom.comp._proof_1 0.000594 s: mul_action_hom.comp 0.001013 s: distrib_mul_action_hom.map_smul' 0.000427 s: distrib_mul_action_hom.to_mul_action_hom 0.000316 s: distrib_mul_action_hom.has_coe' 0.001292 s: distrib_mul_action_hom.comp._proof_1 0.000930 s: distrib_mul_action_hom.map_add' 0.000470 s: distrib_mul_action_hom.to_add_monoid_hom 0.000223 s: distrib_mul_action_hom.has_coe 0.000911 s: distrib_mul_action_hom.comp._proof_2 0.000736 s: distrib_mul_action_hom.comp._proof_3 0.003906 s: distrib_mul_action_hom.comp 0.001238 s: mul_semiring_action_hom.to_fun 0.001646 s: mul_semiring_action_hom.map_smul' 0.001067 s: mul_semiring_action_hom.map_zero' 0.001147 s: mul_semiring_action_hom.map_add' 0.000773 s: mul_semiring_action_hom.to_distrib_mul_action_hom 0.000488 s: mul_semiring_action_hom.has_coe' 0.001576 s: mul_semiring_action_hom.comp._proof_1 0.001145 s: mul_semiring_action_hom.comp._proof_2 0.001184 s: mul_semiring_action_hom.comp._proof_3 0.000956 s: mul_semiring_action_hom.map_one' 0.001036 s: mul_semiring_action_hom.map_mul' 0.000614 s: mul_semiring_action_hom.to_ring_hom 0.000169 s: mul_semiring_action_hom.has_coe 0.000813 s: mul_semiring_action_hom.comp._proof_4 0.001184 s: mul_semiring_action_hom.comp._proof_5 0.008847 s: mul_semiring_action_hom.comp 0.000031 s: irreflexive 0.000610 s: simple_graph 0.000138 s: simple_graph.adj 0.000053 s: simple_graph.neighbor_set 0.000232 s: simple_graph.neighbor_finset 0.000131 s: golden_conj 0.000036 s: golden_ratio 0.000047 s: golden_ratio.equations._eqn_1 0.000039 s: golden_conj.equations._eqn_1 0.136917 s: gold_add_gold_conj 0.060043 s: one_sub_gold_conj 0.007921 s: tactic.ring_exp.div_pf 0.000256 s: tactic.ring_exp.inverse_pf 0.003724 s: tactic.ring_exp.simple_pf_sum_zero 0.001799 s: tactic.ring_exp.sum_congr 0.205742 s: gold_sq 0.098349 s: gold_pos 0.084779 s: one_lt_gold 0.062924 s: gold_conj_neg 0.000125 s: pos_num.prime 0.000598 s: nat.not_prime_one 0.000063 s: pos_num.has_lt 0.000234 s: ordering.decidable_eq._match_2 0.000134 s: ordering.decidable_eq._match_3 0.000157 s: ordering.decidable_eq._match_4 0.000102 s: ordering.decidable_eq._match_1 0.000033 s: ordering.decidable_eq 0.000107 s: pos_num.decidable_lt._main 0.000017 s: pos_num.decidable_lt 0.000117 s: num.decidable_le._main 0.000013 s: num.decidable_le 0.015936 s: num.linear_ordered_semiring._proof_1 0.011751 s: num.linear_ordered_semiring._proof_2 0.012362 s: num.linear_ordered_semiring._proof_3 0.002827 s: num.linear_ordered_semiring._proof_4 0.000106 s: num.decidable_lt._main 0.000029 s: num.decidable_lt 0.000287 s: num.linear_ordered_semiring._proof_5 0.010923 s: num.linear_ordered_semiring 0.000093 s: pos_num.has_dvd 0.000168 s: num.of_znum'._main 0.000043 s: num.of_znum' 0.000035 s: pos_num.divmod_aux 0.000064 s: pos_num.divmod._match_2 0.000045 s: pos_num.divmod._match_1 0.000367 s: pos_num.divmod._main 0.000017 s: pos_num.divmod 0.000022 s: pos_num.mod' 0.000056 s: num.mod._main 0.000009 s: num.mod 0.000052 s: num.has_mod 0.009342 s: num.dvd_to_nat 0.005467 s: nat.div_mod_unique 0.013537 s: pos_num.one_le_cast 0.004906 s: pos_num.cast_pos 0.000093 s: pos_num.divmod_aux.equations._eqn_1 0.000337 s: num.bit0_of_bit0 0.002212 s: num.cast_to_nat 0.002229 s: num.cast_add 0.000708 s: num.cast_bit0 0.003846 s: num.mem_of_znum' 0.000177 s: cast_znum._main 0.000039 s: cast_znum 0.000119 s: znum_coe 0.000187 s: znum.add._main 0.000010 s: znum.add 0.000030 s: znum.has_add 0.000036 s: znum.zneg._main 0.000009 s: znum.zneg 0.000018 s: znum.has_neg 0.000538 s: znum.cast_pos 0.001196 s: int.cast_coe_nat' 0.000069 s: znum.succ._main 0.000024 s: znum.succ 0.001816 s: znum.add_one 0.003002 s: num.of_nat_to_znum 0.000369 s: znum.cast_neg 0.000397 s: znum.zneg_zneg 0.002502 s: znum.neg_of_int 0.000177 s: num.zneg_to_znum 0.000220 s: num.of_nat_to_znum_neg 0.003249 s: znum.of_to_int 0.000215 s: znum.to_int_inj 0.001261 s: num.cast_to_znum 0.000628 s: pos_num.sub'_one 0.000285 s: pos_num.to_nat_inj 0.004463 s: pos_num.pred'_to_nat 0.000467 s: pos_num.cast_one 0.000604 s: pos_num.one_sub' 0.002014 s: num.cast_to_znum_neg 0.000419 s: pos_num.sub'._main.equations._eqn_5 0.000057 s: pos_num.sub'.equations._eqn_5 0.000061 s: znum.bit0._main.equations._eqn_2 0.000025 s: znum.bit0.equations._eqn_2 0.000045 s: znum.bit0._main.equations._eqn_3 0.000025 s: znum.bit0.equations._eqn_3 0.000629 s: pos_num.cast_bit0 0.002670 s: znum.cast_bit0 0.000531 s: pos_num.cast_bit1 0.001858 s: pos_num.to_nat_to_int 0.000670 s: pos_num.cast_to_int 0.000443 s: pos_num.sub'._main.equations._eqn_6 0.000047 s: pos_num.sub'.equations._eqn_6 0.000072 s: znum.bit1._main.equations._eqn_1 0.000022 s: znum.bit1.equations._eqn_1 0.000405 s: znum.cast_one 0.000231 s: znum.cast_zero 0.000065 s: znum.bit1._main.equations._eqn_2 0.000058 s: znum.bit1.equations._eqn_2 0.000147 s: znum.bit1._main.equations._eqn_3 0.000041 s: znum.bit1.equations._eqn_3 0.005958 s: num.succ'_to_nat 0.000335 s: pos_num.succ'_pred' 0.000745 s: pos_num.cast_add 0.000484 s: pos_num.cast_succ 0.000210 s: num.succ'._main.equations._eqn_2 0.000032 s: num.succ'.equations._eqn_2 0.008522 s: znum.cast_bit1 0.000524 s: pos_num.sub'._main.equations._eqn_8 0.000109 s: pos_num.sub'.equations._eqn_8 0.000534 s: znum.zneg_bit1 0.005456 s: znum.cast_zneg 0.002578 s: znum.cast_to_int 0.004731 s: znum.cast_bitm1 0.000439 s: pos_num.sub'._main.equations._eqn_9 0.000049 s: pos_num.sub'.equations._eqn_9 0.021781 s: pos_num.cast_sub' 0.008570 s: num.cast_sub' 0.000784 s: num.cast_pos 0.003436 s: num.to_nat_to_int 0.000656 s: num.succ_to_nat 0.001510 s: num.to_of_nat 0.000122 s: pos_num.divmod_aux._match_1.equations._eqn_2 0.000437 s: num.bit1_of_bit1 0.002035 s: num.cast_bit1 0.020965 s: pos_num.divmod_to_nat_aux 0.000487 s: pos_num.cast_one' 0.000568 s: pos_num.divmod._main.equations._eqn_2 0.000057 s: pos_num.divmod.equations._eqn_2 0.000201 s: pos_num.divmod._match_2.equations._eqn_1 0.000271 s: pos_num.divmod._main.equations._eqn_3 0.000088 s: pos_num.divmod.equations._eqn_3 0.000269 s: pos_num.divmod._match_1.equations._eqn_1 0.024312 s: pos_num.divmod_to_nat 0.000241 s: pos_num.mod'_to_nat 0.003933 s: num.mod_to_nat 0.000640 s: num.dvd_iff_mod_eq_zero 0.000175 s: num.decidable_dvd._main 0.000037 s: num.decidable_dvd 0.000226 s: pos_num.decidable_dvd._main 0.000018 s: pos_num.decidable_dvd 0.000605 s: pos_num.min_fac_aux._main 0.000031 s: pos_num.min_fac_aux 0.002498 s: nat.prime_def_min_fac 0.000107 s: pos_num.min_fac._main 0.000008 s: pos_num.min_fac 0.000359 s: pos_num.min_fac._main.equations._eqn_2 0.000090 s: pos_num.min_fac.equations._eqn_2 0.000059 s: nat.dvd_add_right 0.001412 s: two_dvd_bit0 0.003426 s: nat.not_two_dvd_bit1 0.000157 s: pos_num.min_fac_aux._main.equations._eqn_1 0.000043 s: pos_num.min_fac_aux.equations._eqn_1 0.000686 s: pos_num.min_fac_aux._main.equations._eqn_2 0.000122 s: pos_num.min_fac_aux.equations._eqn_2 0.001840 s: pos_num.lt_to_nat 0.015228 s: pos_num.cast_lt 0.001185 s: pos_num.dvd_to_nat 0.001285 s: ite_cast 0.015264 s: pos_num.min_fac_aux_to_nat 0.000458 s: norm_num.adc_one_one 0.000546 s: pos_num.min_fac._main.equations._eqn_3 0.000061 s: pos_num.min_fac.equations._eqn_3 0.026800 s: pos_num.min_fac_to_nat 0.012053 s: pos_num.decidable_prime._main 0.000373 s: pos_num.decidable_prime._main.equations._eqn_1 0.001555 s: set.to_finset_card 0.093114 s: findim_span_set_eq_card 0.014457 s: alg_equiv.restrict_scalars_apply 0.000157 s: measure_theory.L2.measure_theory.Lp.has_inner._proof_1 0.000096 s: measure_theory.L2.measure_theory.Lp.has_inner._proof_2 0.002847 s: measure_theory.L2.measure_theory.Lp.has_inner._proof_3 0.043672 s: is_R_or_C.to_complete_space 0.009404 s: measure_theory.L2.measure_theory.Lp.has_inner 0.005466 s: measure_theory.L2.inner_def 0.003962 s: measure_theory.has_finite_integral.smul 0.002229 s: measure_theory.integrable.smul 0.023988 s: measure_theory.integrable.to_L1_smul 0.055787 s: measure_theory.L1.integral_smul 0.092038 s: measure_theory.L1.integral_zero 0.020332 s: measure_theory.integral_zero 0.001919 s: units.ae_measurable_const_smul_iff 0.000780 s: is_unit.ae_measurable_const_smul_iff 0.000730 s: ae_measurable_const_smul_iff' 0.034818 s: measure_theory.has_finite_integral_smul_iff 0.018553 s: measure_theory.integrable_smul_iff 0.031875 s: measure_theory.integral_smul 0.111351 s: _private.2173835185.smul_left' 0.028229 s: int.cast_pow 0.083058 s: int.even_iff 0.000047 s: int.modeq 0.000077 s: int.modeq.equations._eqn_1 0.009942 s: int.modeq.modeq_iff_dvd 0.055185 s: int.modeq.modeq_add 0.016665 s: int.mod_two_ne_zero 0.006470 s: int.even_add 0.006876 s: int.neg_mod_two 0.003953 s: int.even_neg 0.005305 s: int.even_sub 0.000434 s: int.modeq.trans 0.000166 s: int.modeq.modeq_of_dvd_of_modeq 0.000144 s: int.eq_coe_or_neg 0.000201 s: nat.mul_div_mul 0.013671 s: int.mul_div_mul_of_pos 0.004031 s: int.mul_mod_mul_of_pos 0.000060 s: int.modeq.refl 0.008474 s: int.modeq.modeq_mul_left' 0.007397 s: dvd_sub 0.054535 s: int.modeq.modeq_add_cancel_left 0.010265 s: int.modeq.modeq_neg 0.096773 s: int.modeq.modeq_mul_left 0.000683 s: int.modeq.modeq_mul_right 0.000072 s: int.modeq.modeq_mul 0.018483 s: int.even_mul 0.000994 s: int.even_bit0 0.124184 s: int.sum_two_squares_of_two_mul_sum_two_squares 0.000304 s: zmod.decidable_eq._main 0.000032 s: zmod.decidable_eq 0.271404 s: _private.3039855127.sum_four_squares_of_two_mul_sum_four_squares 0.010247 s: nat.find_eq_iff 0.003834 s: nat.find_eq_zero 0.000400 s: zmod.val_min_abs._main 0.000027 s: zmod.val_min_abs 0.001912 s: zmod.val_min_abs_def_pos 0.003624 s: zmod.nat_cast_zmod_val 0.001913 s: zmod.nat_cast_self 0.006881 s: zmod.coe_val_min_abs 0.031460 s: nat.mul_eq_zero 0.000117 s: zmod.val_min_abs_def_zero 0.005462 s: zmod.val_injective 0.002321 s: zmod.val_lt 0.006566 s: zmod.val_min_abs_zero 0.008651 s: zmod.val_min_abs_eq_zero 0.030365 s: nat.pow_le_pow_of_le_left 0.000302 s: int.add_le_add_right 0.000289 s: int.neg_le_neg 0.000086 s: int.neg_nonneg_of_nonpos 0.000388 s: int.of_nat_nat_abs_of_nonpos 0.000356 s: int.coe_nat_div 0.108385 s: zmod.nat_abs_val_min_abs_le 0.013873 s: int.nat_abs_mul_self 0.000261 s: int.nat_abs_mul_self' 0.000861 s: nat.prime.eq_two_or_odd 0.000157 s: zmod.field._proof_1 0.000060 s: zmod.field._proof_2 0.000077 s: zmod.field._proof_3 0.002015 s: zmod.field._proof_4 0.000693 s: zmod.field._proof_5 0.000414 s: zmod.field._proof_6 0.000492 s: zmod.field._proof_7 0.000079 s: zmod.field._proof_8 0.000078 s: zmod.field._proof_9 0.000150 s: zmod.field._proof_10 0.000077 s: zmod.field._proof_11 0.000178 s: zmod.field._proof_12 0.000244 s: zmod.field._proof_13 0.000144 s: zmod.field._proof_14 0.000073 s: zmod.field._proof_15 0.000103 s: zmod.field._proof_16 0.000626 s: zmod.inv._main 0.000027 s: zmod.inv 0.000044 s: zmod.has_inv 0.000056 s: zmod.field._proof_17 0.000052 s: zmod.field._proof_18 0.000089 s: zmod.field._proof_19 0.000270 s: zmod.field._proof_20 0.000236 s: zmod.field._proof_21 0.000366 s: zmod.field._proof_22 0.001909 s: zmod.val_one_eq_one_mod 0.000227 s: zmod.val_one 0.002047 s: zmod.nontrivial 0.000063 s: nat.prime.one_lt' 0.000075 s: zmod.field._proof_23 0.000175 s: zmod.nat_cast_right_inverse 0.000192 s: zmod.nat_cast_zmod_surjective 0.002578 s: pos_of_one_lt 0.004173 s: int.mul_sign 0.011127 s: zmod.mul_inv_eq_gcd 0.006187 s: zmod.coe_mul_inv_eq_one 0.003707 s: _private.345423415.mul_inv_cancel_aux 0.011000 s: zmod.inv_zero 0.022558 s: zmod.field 0.002883 s: int.nat_abs_pow_two 0.011598 s: nat.div_pos 0.000374 s: polynomial.eval_neg 0.000357 s: finset.card_le_univ 0.002458 s: finset.card_eq_sum_card_fiberwise 0.019143 s: finset.card_le_mul_card_image_of_maps_to 0.004077 s: finset.card_le_mul_card_image 0.004804 s: polynomial.mem_roots_sub_C 0.000948 s: multiset.to_finset_card_le 0.001914 s: polynomial.degree_add_C 0.003337 s: polynomial.card_roots_sub_C 0.007554 s: polynomial.card_roots_sub_C' 0.003663 s: finite_field.card_image_polynomial_eval 0.000877 s: polynomial.nat_degree_neg 0.068806 s: finite_field.exists_root_sum_quadratic 0.101482 s: zmod.sum_two_squares 0.146536 s: int.exists_sum_two_squares_add_one_eq_k 0.338340 s: _private.1201561479.prime_sum_four_squares 0.000162 s: pgame.equiv_refl 0.000139 s: pgame.equiv_symm 0.000180 s: pgame.equiv_trans 0.000237 s: pgame.setoid._proof_1 0.000173 s: pgame.setoid 0.002426 s: list.perm.sizeof_eq_sizeof 0.000092 s: multiset.sizeof._proof_1 0.000937 s: multiset.sizeof 0.000051 s: multiset.has_sizeof 0.000213 s: finset.sizeof 0.000029 s: finset.has_sizeof_inst 0.000170 s: fintype.sizeof 0.000026 s: fintype.has_sizeof_inst 0.000283 s: pgame.short.sizeof 0.000046 s: pgame.short.has_sizeof_inst 0.000771 s: pgame.short.cases_on 0.000149 s: pgame.no_confusion_type 0.000313 s: pgame.no_confusion 0.000242 s: pgame.move_left_short'._proof_1 0.000046 s: pgame.move_left_short'._proof_2 0.000035 s: pgame.move_left_short'._proof_3 0.000038 s: pgame.move_left_short'._proof_4 0.000083 s: pgame.move_left_short'._proof_5 0.001173 s: pgame.move_left_short' 0.000265 s: pgame.fintype_left._proof_1 0.000069 s: pgame.fintype_left._proof_2 0.000078 s: pgame.fintype_left._proof_3 0.000065 s: pgame.fintype_left._proof_4 0.000088 s: pgame.fintype_left._proof_5 0.001138 s: pgame.fintype_left 0.000171 s: pgame.move_right_short'._proof_1 0.000044 s: pgame.move_right_short'._proof_2 0.000071 s: pgame.move_right_short'._proof_3 0.000052 s: pgame.move_right_short'._proof_4 0.000076 s: pgame.move_right_short'._proof_5 0.000930 s: pgame.move_right_short' 0.000167 s: pgame.fintype_right._proof_1 0.000056 s: pgame.fintype_right._proof_2 0.000044 s: pgame.fintype_right._proof_3 0.000039 s: pgame.fintype_right._proof_4 0.000050 s: pgame.fintype_right._proof_5 0.000870 s: pgame.fintype_right 0.019460 s: pgame.le_lt_decidable._main._pack 0.000261 s: pgame.le_lt_decidable._main 0.000073 s: pgame.le_lt_decidable 0.000087 s: pgame.le_decidable 0.000532 s: pgame.equiv_decidable 0.000228 s: rack.pre_envel_group.cases_on 0.000285 s: shelf_hom.to_fun 0.000153 s: shelf_hom.has_coe_to_fun 0.000170 s: rack.pre_envel_group.below 0.004994 s: rack.pre_envel_group.brec_on 0.001333 s: rack.to_envel_group.map_aux._main 0.000147 s: rack.to_envel_group.map_aux 0.000516 s: rack.to_envel_group.map_aux._sunfold 0.002538 s: zero_fpow 0.004227 s: fpow_add' 0.066291 s: fpow_bit0 0.028846 s: fpow_bit0_nonneg 0.000238 s: fpow_eq_zero 0.000176 s: fpow_ne_zero 0.055853 s: fpow_bit0_pos 0.086789 s: fpow_bit1_neg_iff 0.000062 s: int.bodd._main 0.000013 s: int.bodd 0.000272 s: int.add._main.equations._eqn_1 0.000057 s: int.add.equations._eqn_1 0.000218 s: int.bodd._main.equations._eqn_1 0.000061 s: int.bodd.equations._eqn_1 0.000184 s: int.add._main.equations._eqn_2 0.000032 s: int.add.equations._eqn_2 0.000234 s: int.bodd_coe 0.000289 s: bool.bxor_ff_left 0.000148 s: bxor._main.equations._eqn_1 0.000025 s: bxor.equations._eqn_1 0.000037 s: bxor._main.equations._eqn_4 0.000017 s: bxor.equations._eqn_4 0.000184 s: bxor_self 0.000060 s: bxor._main.equations._eqn_3 0.000018 s: bxor.equations._eqn_3 0.000033 s: bxor._main.equations._eqn_2 0.000017 s: bxor.equations._eqn_2 0.008545 s: bxor_tt 0.001414 s: tt_bxor 0.000301 s: bool.bxor_bnot_right 0.000176 s: int.bodd._main.equations._eqn_2 0.000032 s: int.bodd.equations._eqn_2 0.000156 s: bool.bxor_ff_right 0.004933 s: int.bodd_sub_nat_nat 0.000193 s: int.add._main.equations._eqn_3 0.000041 s: int.add.equations._eqn_3 0.000442 s: bool.bxor_comm 0.000084 s: int.add._main.equations._eqn_4 0.000036 s: int.add.equations._eqn_4 0.000486 s: bool.bxor_bnot_bnot 0.002495 s: int.bodd_add 0.000942 s: int.bodd_neg_of_nat 0.001519 s: int.bodd_mul 0.001539 s: int.bodd_bit 0.000101 s: int.bodd_bit0 0.000113 s: int.bodd_bit1 0.000421 s: int.bit0_ne_bit1 0.000065 s: int.bit1_ne_bit0 0.001824 s: int.bit1_ne_zero 0.040980 s: fpow_bit1_nonpos_iff 0.020329 s: fpow_bit1_pos_iff 0.001075 s: vector.map._main._proof_1 0.001106 s: filter.tendsto_at_top_add_nonneg_left' 0.000318 s: subfield.has_inf._proof_1 0.000328 s: subfield.has_inf._proof_2 0.000252 s: subfield.has_inf._proof_3 0.000229 s: subfield.has_inf._proof_4 0.000236 s: subfield.has_inf._proof_5 0.001755 s: subring.mem_inf 0.001978 s: subfield.has_inf._proof_6 0.001344 s: subfield.has_inf 0.000243 s: subfield.has_Inf._proof_1 0.000291 s: subfield.has_Inf._proof_2 0.000139 s: subfield.has_Inf._proof_3 0.000272 s: subfield.has_Inf._proof_4 0.000167 s: subfield.has_Inf._proof_5 0.003302 s: subfield.has_Inf._proof_6 0.002023 s: subfield.has_Inf 0.000882 s: subring.coe_Inf 0.000483 s: subfield.coe_to_subring 0.005438 s: subfield.coe_Inf 0.002679 s: subfield.is_glb_Inf 0.000160 s: subfield.complete_lattice._proof_1 0.000302 s: subfield.complete_lattice._proof_2 0.000355 s: subfield.complete_lattice._proof_3 0.000453 s: subfield.complete_lattice._proof_4 0.000932 s: subfield.complete_lattice._proof_5 0.000693 s: subfield.complete_lattice._proof_6 0.001109 s: subfield.complete_lattice._proof_7 0.000389 s: subfield.complete_lattice._proof_8 0.000446 s: subfield.complete_lattice._proof_9 0.003518 s: subfield.complete_lattice._proof_10 0.000085 s: subfield.complete_lattice._proof_11 0.000489 s: subfield.complete_lattice._proof_12 0.000390 s: subfield.complete_lattice._proof_13 0.000558 s: subfield.complete_lattice._proof_14 0.000389 s: subfield.complete_lattice._proof_15 0.000516 s: subfield.complete_lattice._proof_16 0.008101 s: subfield.complete_lattice 0.001020 s: subfield.gc_map_comap 0.021021 s: subfield.comap_inf 0.000178 s: list.scanr_aux._match_1 0.000469 s: list.scanr_aux._match_1.equations._eqn_1 0.000489 s: tree 0.000137 s: tree.cases_on 0.002907 s: tree.get._main 0.000204 s: subring.gi._proof_1 0.000846 s: subring.gi._proof_2 0.000227 s: subring.gi._proof_3 0.008369 s: subring.gi 0.006491 s: subring.closure_Union 0.001272 s: rbnode.min._main 0.000025 s: rbnode.min 0.000142 s: rbtree.min._sunfold 0.003011 s: semiring.cases_on 0.001398 s: semiring.no_confusion_type 0.001478 s: semiring.no_confusion 0.003318 s: semiring.mk.inj 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omega.int.preterm.add_one.equations._eqn_1 0.000361 s: omega.int.preform.holds._main.equations._eqn_4 0.000061 s: omega.int.preform.holds.equations._eqn_4 0.000315 s: omega.int.preform.holds._main.equations._eqn_2 0.000057 s: omega.int.preform.holds.equations._eqn_2 0.000547 s: omega.int.preterm.val._main.equations._eqn_3 0.000059 s: omega.int.preterm.val.equations._eqn_3 0.000094 s: omega.int.preterm.val._main.equations._eqn_1 0.000032 s: omega.int.preterm.val.equations._eqn_1 0.000211 s: omega.int.preform.holds._main.equations._eqn_3 0.000060 s: omega.int.preform.holds.equations._eqn_3 0.000219 s: omega.int.preform.holds._main.equations._eqn_1 0.000052 s: omega.int.preform.holds.equations._eqn_1 0.000432 s: omega.int.le_and_le_iff_eq 0.000239 s: omega.int.neg_elim._main.equations._eqn_4 0.000037 s: omega.int.neg_elim.equations._eqn_4 0.000328 s: omega.int.neg_elim._main.equations._eqn_8 0.000109 s: omega.int.neg_elim.equations._eqn_8 0.013227 s: omega.int.implies_neg_elim 0.000960 s: 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category_theory.has_split_coequalizer.is_split_coequalizer 0.000849 s: category_theory.limits.has_coequalizer_of_has_split_coequalizer 0.003986 s: category_theory.monad.monadic_of_creates_G_split_coequalizers._proof_1 0.000739 s: category_theory.monad.monadic_of_creates_G_split_coequalizers._proof_2 0.001644 s: linear_isometry.to_continuous_linear_map.equations._eqn_1 0.000584 s: rbnode.balance2_node._main.equations._eqn_3 0.000408 s: category_theory.limits.is_terminal.from 0.002717 s: category_theory.limits.is_terminal.hom_ext 0.002800 s: category_theory.limits.cocone_of_diagram_terminal._proof_1 0.001662 s: category_theory.limits.cocone_of_diagram_terminal 0.004588 s: category_theory.limits.colimit_of_diagram_terminal._proof_1 0.000160 s: complex.conj_lm._proof_1 0.012932 s: complex.conj_lm._proof_2 0.016827 s: complex.conj_lm 0.006005 s: complex.conj_lm_coe 0.093684 s: complex.conj_li._proof_1 0.014688 s: category_theory.equivalence.cancel_unit_inv_right 0.000040 s: 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omega_limit_image_eq 0.000310 s: znum.zero_add 0.000274 s: znum.add_zero 0.000152 s: znum.add_comm_group._proof_5 0.000022 s: category_theory.Cat 0.000136 s: category_theory.Cat.has_coe_to_sort 0.000319 s: category_theory.Cat.str 0.003783 s: category_theory.Cat.category._proof_1 0.002913 s: category_theory.Cat.category._proof_2 0.000454 s: category_theory.Cat.category._proof_3 0.005746 s: category_theory.Cat.category 0.001388 s: category_theory.Cat.equiv_of_iso._proof_1 0.000222 s: category_theory.functor.congr_obj 0.002091 s: category_theory.eq_to_hom_app 0.010020 s: category_theory.Cat.equiv_of_iso._proof_2 0.002497 s: category_theory.Cat.equiv_of_iso 0.000073 s: roption.order_bot._proof_1 0.000169 s: roption.order_bot._proof_2 0.000183 s: roption.order_bot._proof_3 0.001295 s: roption.order_bot._proof_4 0.003612 s: roption.order_bot._proof_5 0.001334 s: roption.order_bot 0.000037 s: roption.preorder 0.000259 s: omega_complete_partial_order.chain.has_mem 0.000223 s: roption.ωSup 0.002621 s: roption.eq_of_chain 0.000537 s: roption.ωSup_eq_some 0.001153 s: roption.omega_complete_partial_order._proof_1 0.000197 s: roption.ωSup.equations._eqn_1 0.000946 s: roption.mem_chain_of_mem_ωSup 0.001174 s: roption.omega_complete_partial_order._proof_2 0.000299 s: roption.omega_complete_partial_order 0.002650 s: separated_regular.equations._eqn_1 0.001467 s: closed_under_restriction 0.000350 s: closed_under_restriction.drec_on 0.001580 s: set.Ico_ℕ_fintype._proof_1 0.000225 s: set.Ico_ℕ_fintype 0.000258 s: list.Ico.length 0.000815 s: multiset.Ico.card 0.000179 s: finset.Ico.card 0.000225 s: set.Ico_ℕ_card 0.000300 s: complex.exp'.equations._eqn_1 0.000593 s: flow.map_zero 0.000018 s: AddSemigroup 0.000063 s: add_hom.id._proof_1 0.000101 s: add_hom.id 0.001369 s: add_hom.comp._proof_1 0.000322 s: add_hom.comp 0.001013 s: add_hom.coe_inj 0.000069 s: AddMagma.bundled_hom._proof_1 0.000166 s: AddMagma.bundled_hom._proof_2 0.000699 s: AddMagma.bundled_hom 0.000076 s: 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category_theory.endofunctor_monoidal_category._proof_4 0.003657 s: category_theory.endofunctor_monoidal_category._proof_5 0.008444 s: category_theory.endofunctor_monoidal_category._proof_6 0.005770 s: category_theory.endofunctor_monoidal_category._proof_7 0.004026 s: category_theory.endofunctor_monoidal_category 0.001724 s: Mon_.X 0.001427 s: Mon_.one 0.001244 s: Mon_.mul 0.002540 s: Mon_.hom 0.000579 s: Mon_.id._proof_1 0.001025 s: Mon_.id._proof_2 0.000314 s: Mon_.id 0.000736 s: Mon_.hom.hom 0.000949 s: Mon_.hom.one_hom 0.000907 s: Mon_.hom.one_hom_assoc 0.001186 s: Mon_.comp._proof_1 0.001904 s: Mon_.hom.mul_hom 0.001708 s: Mon_.hom.mul_hom_assoc 0.002389 s: Mon_.comp._proof_2 0.000778 s: Mon_.comp 0.001418 s: Mon_.hom.cases_on 0.001897 s: Mon_.hom.ext 0.002231 s: Mon_.category_theory.category._proof_1 0.002421 s: Mon_.category_theory.category._proof_2 0.003239 s: Mon_.category_theory.category._proof_3 0.001153 s: Mon_.category_theory.category 0.004261 s: 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category_theory.shrink_homs.category_theory.category._proof_4 0.000049 s: category_theory.shrink_homs.category_theory.category._proof_5 0.000048 s: category_theory.shrink_homs.category_theory.category._proof_6 0.000053 s: category_theory.shrink_homs.category_theory.category._proof_7 0.000051 s: category_theory.shrink_homs.category_theory.category._proof_8 0.000049 s: category_theory.shrink_homs.category_theory.category._proof_9 0.003946 s: category_theory.shrink_homs.category_theory.category._proof_10 0.004138 s: category_theory.shrink_homs.category_theory.category._proof_11 0.005072 s: category_theory.shrink_homs.category_theory.category._proof_12 0.005736 s: category_theory.shrink_homs.category_theory.category 0.000029 s: category_theory.shrink_homs.to_shrink_homs 0.000264 s: category_theory.shrink_homs.functor._proof_1 0.000129 s: category_theory.shrink_homs.functor._proof_2 0.002107 s: category_theory.shrink_homs.functor._proof_3 0.004768 s: 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lazy_list.append 0.000664 s: lazy_list.bind._main 0.000051 s: lazy_list.bind 0.000355 s: lazy_list.map._main 0.000035 s: lazy_list.map 0.000127 s: uliftable.adapt_up 0.006439 s: slim_check.gen.freq_aux._main 0.000129 s: slim_check.gen.freq_aux 0.001902 s: slim_check.gen.freq._proof_1 0.000344 s: slim_check.gen.freq._proof_2 0.000379 s: pnat.mk_coe 0.004221 s: slim_check.gen.freq._proof_3 0.001419 s: slim_check.gen.freq 0.000081 s: slim_check.nat.sampleable._proof_1 0.003208 s: pnat.has_add._proof_1 0.003555 s: pnat.has_add 0.001006 s: slim_check.nat.sampleable._proof_2 0.000271 s: lazy_list.of_list._main 0.000021 s: lazy_list.of_list 0.018771 s: slim_check.nat.shrink._proof_1 0.008327 s: slim_check.nat.shrink._proof_2 0.002768 s: nat.shrink'._main._pack._wf_rec_mk_dec_tactic._aux_1 0.007550 s: nat.div_lt_of_lt_mul 0.165407 s: slim_check.nat.shrink'._main._pack 0.000219 s: slim_check.nat.shrink'._main 0.000067 s: slim_check.nat.shrink' 0.000046 s: slim_check.nat.shrink._proof_3 0.013122 s: slim_check.nat.shrink._proof_4 0.004092 s: slim_check.nat.shrink 0.000831 s: slim_check.nat.sampleable 0.000401 s: lazy_list.to_list._main 0.000022 s: lazy_list.to_list 0.000059 s: lazy_list.reverse 0.000326 s: list.sizeof._main.equations._eqn_1 0.000149 s: list.sizeof.equations._eqn_1 0.107910 s: slim_check.list.one_le_sizeof 0.000046 s: thunk.mk 0.011344 s: lazy_list.traverse._main 0.000062 s: lazy_list.traverse 0.000217 s: lazy_list.traversable 0.004491 s: slim_check.list.sizeof_append_lt_left 0.079987 s: slim_check.list.sizeof_drop_lt_sizeof_of_lt_length 0.011474 s: slim_check.list.shrink_removes._match_1 0.001469 s: list.shrink_removes._main._pack._wf_rec_mk_dec_tactic._aux_1 0.114070 s: slim_check.list.shrink_removes._main._pack 0.000342 s: slim_check.list.shrink_removes._main 0.000130 s: slim_check.list.shrink_removes 0.015187 s: slim_check.list.sizeof_cons_lt_right 0.004740 s: slim_check.list.sizeof_cons_lt_left 0.001290 s: slim_check.list.shrink_one._main 0.000089 s: slim_check.list.shrink_one 0.000603 s: slim_check.list.shrink_with 0.000079 s: has_repr.repr 0.000024 s: repr 0.000494 s: list.repr_aux._main 0.000077 s: list.repr_aux 0.000119 s: list.repr._main 0.000023 s: list.repr 0.000026 s: list.has_repr 0.000205 s: slim_check.list.sampleable 0.001428 s: slim_check.sampleable.lift._proof_1 0.001168 s: slim_check.sampleable.lift 0.000882 s: slim_check.sampleable_bifunctor 0.000176 s: slim_check.sampleable_bifunctor.wf 0.000157 s: slim_check.sampleable_bifunctor.sample 0.000354 s: slim_check.sampleable_bifunctor.shrink 0.000381 s: slim_check.sampleable.bifunctor 0.000056 s: prod.bifunctor 0.000104 s: prod.sizeof._main 0.000037 s: prod.sizeof 0.000048 s: prod.has_sizeof 0.000233 s: slim_check.prod.sampleable._match_1 0.000304 s: slim_check.prod.sampleable._match_2 0.000481 s: prod.sizeof._main.equations._eqn_1 0.000163 s: prod.sizeof.equations._eqn_1 0.005464 s: slim_check.prod.shrink._main 0.000172 s: slim_check.prod.shrink 0.000163 s: prod.has_repr._match_1 0.000087 s: prod.has_repr 0.000324 s: slim_check.prod.sampleable 0.000128 s: slim_check.sigma.sampleable._match_1 0.000138 s: slim_check.sigma.sampleable._match_2 0.000964 s: slim_check.sigma.sampleable._match_3 0.000181 s: slim_check.sigma.sampleable._proof_1 0.000255 s: slim_check.sigma.sampleable 0.000304 s: slim_check.total_function.total.sizeof._main 0.000037 s: slim_check.total_function.total.sizeof 0.000100 s: slim_check.total_function.has_sizeof 0.000393 s: slim_check.total_function.total.sizeof._main.equations._eqn_1 0.000448 s: slim_check.total_function.total.sizeof.equations._eqn_1 0.000305 s: list.erase_dupkeys.equations._eqn_1 0.000837 s: list.erase_dupkeys_cons 0.026947 s: list.sizeof_kerase 0.010544 s: list.sizeof_erase_dupkeys 0.009478 s: slim_check.total_function.shrink._match_1 0.001424 s: slim_check.total_function.shrink._main 0.000068 s: slim_check.total_function.shrink 0.002952 s: slim_check.total_function.shrink._main.equations._eqn_1 0.000808 s: slim_check.total_function.shrink.equations._eqn_1 0.000662 s: functor.comp.applicative.equations._eqn_1 0.000362 s: ring_equiv.of_hom_inv._proof_1 0.000270 s: ring_equiv.of_hom_inv._proof_2 0.004878 s: ring_equiv.of_hom_inv 0.050160 s: free_comm_ring.hom_ext 0.064566 s: free_comm_ring_equiv_mv_polynomial_int._proof_1 0.064891 s: free_comm_ring_equiv_mv_polynomial_int 0.034794 s: free_comm_ring_punit_equiv_polynomial_int 0.000281 s: lists'.cases_on 0.000255 s: lists'.no_confusion_type 0.000130 s: category_theory.limits.has_coproduct 0.000105 s: category_theory.limits.sigma_obj 0.000137 s: except.bind._match_1 0.000106 s: except.bind 0.000227 s: except.bind.equations._eqn_1 0.000445 s: distrib_mul_action.to_add_monoid_hom 0.000390 s: mul_action.to_perm 0.004166 s: distrib_mul_action.to_add_equiv._proof_1 0.001835 s: distrib_mul_action.to_add_equiv._proof_2 0.000356 s: distrib_mul_action.to_add_equiv._proof_3 0.002164 s: distrib_mul_action.to_add_equiv 0.000414 s: mul_semiring_action.to_semiring_equiv._proof_1 0.000259 s: mul_semiring_action.to_semiring_equiv._proof_2 0.000947 s: mul_semiring_action.smul_one 0.000683 s: mul_semiring_action.smul_mul 0.000368 s: smul_mul' 0.000328 s: mul_semiring_action.to_semiring_hom._proof_1 0.000266 s: mul_semiring_action.to_semiring_hom._proof_2 0.002037 s: mul_semiring_action.to_semiring_hom 0.000296 s: mul_semiring_action.to_semiring_equiv._proof_3 0.000374 s: mul_semiring_action.to_semiring_equiv._proof_4 0.002992 s: mul_semiring_action.to_semiring_equiv 0.000503 s: continuous_linear_map.subtype_val._proof_1 0.002221 s: continuous_linear_map.subtype_val 0.002298 s: continuous_linear_map.subtype_val_apply 0.000446 s: parser.fix_core._main 0.000056 s: parser.fix_core 0.000818 s: parser.failure_eq_fail 0.000110 s: parser.err_static.failure 0.000706 s: parser.err_static.fix_core 0.000356 s: add_commute.right_comm 0.001109 s: prod.smul_comm_class 0.001160 s: linear_map.prod_equiv._proof_1 0.000380 s: category_theory.limits.mono_factorisation.self._proof_1 0.000226 s: category_theory.limits.mono_factorisation.self 0.000305 s: category_theory.limits.mono_factorisation.self.equations._eqn_1 0.000190 s: measure_theory.measure_space 0.000042 s: measure_theory.measure_space.to_measurable_space 0.000314 s: buffer.read._main 0.000031 s: buffer.read 0.000175 s: array.push_back.equations._eqn_1 0.000127 s: fin.cast_lt.equations._eqn_1 0.000095 s: fin.cast_succ.equations._eqn_1 0.000094 s: fin.cast_add.equations._eqn_1 0.003616 s: fin.cast_le.equations._eqn_1 0.000173 s: array.read.equations._eqn_1 0.000097 s: d_array.read.equations._eqn_1 0.000626 s: array.push_back._match_1.equations._eqn_1 0.007932 s: array.read_push_back_left 0.004585 s: buffer.read_push_back_left 0.000548 s: uniform_space.completion.separated_space.equations._eqn_1 0.001062 s: add_submonoid.map.equations._eqn_1 0.000417 s: boolean_ring 0.000085 s: boolean_ring.to_ring 0.000220 s: boolean_ring.has_sdiff 0.002930 s: tactic_doc._3110205564 0.019044 s: nonneg_ring 0.003961 s: nonneg_ring.nsmul 0.002591 s: nonneg_ring.zero 0.002331 s: nonneg_ring.add 0.003410 s: nonneg_ring.zero_add 0.002883 s: nonneg_ring.add_zero 0.003559 s: nonneg_ring.nsmul_succ' 0.014626 s: multilinear_map.mk_continuous_multilinear._proof_1 0.007209 s: multilinear_map.curry_sum._proof_1 0.005895 s: multilinear_map.curry_sum._proof_2 0.002720 s: sum.update_elim_inr 0.003196 s: multilinear_map.curry_sum._proof_3 0.003171 s: multilinear_map.curry_sum._proof_4 0.002539 s: sum.update_elim_inl 0.030982 s: multilinear_map.curry_sum._proof_5 0.034399 s: multilinear_map.curry_sum._proof_6 0.018607 s: multilinear_map.curry_sum 0.008011 s: multilinear_map.curry_sum_apply 0.002478 s: continuous_multilinear_map.coe_coe 0.076521 s: continuous_multilinear_map.curry_sum._proof_2 0.000453 s: filter.sizeof 0.000049 s: filter.has_sizeof_inst 0.000239 s: ultrafilter.sizeof 0.000027 s: ultrafilter.has_sizeof_inst 0.009013 s: measure_theory.outer_measure.ext_nonempty 0.001938 s: monotone.map_infi_le 0.003266 s: measure_theory.outer_measure.comap_mono 0.001188 s: set.indicator_mul_right 0.003076 s: measure_theory.outer_measure.smul_dirac_apply 0.012468 s: measure_theory.outer_measure.top_apply 0.000052 s: measure_theory.outer_measure.inhabited 0.005783 s: ennreal.tsum_eq_top_of_eq_top 0.000299 s: ennreal.tsum_top 0.002982 s: measure_theory.outer_measure.of_function_apply 0.001311 s: measure_theory.outer_measure.bounded_by_apply 0.038980 s: measure_theory.outer_measure.supr_Inf_gen_nonempty 0.006313 s: measure_theory.outer_measure.Inf_apply 0.017079 s: measure_theory.outer_measure.Inf_apply' 0.004234 s: measure_theory.outer_measure.infi_apply' 0.039136 s: measure_theory.outer_measure.comap_infi 0.003544 s: measure_theory.outer_measure.map_mono 0.029099 s: measure_theory.outer_measure.map_infi_le 0.007246 s: measure_theory.outer_measure.infi_apply 0.001574 s: set.Union_union_distrib 0.000413 s: set.Union_union 0.001512 s: set.inter_subset 0.017275 s: measure_theory.outer_measure.map_infi_comap 0.006473 s: measure_theory.outer_measure.restrict_infi 0.012288 s: measure_theory.outer_measure.restrict_binfi 0.000623 s: order_dual.complete_linear_order._proof_7 0.001783 s: category_theory.limits.has_colimits_of_shape.rec_on 0.000668 s: floor_ring.rec_on 0.000121 s: option.sizeof._main 0.000025 s: option.sizeof 0.000033 s: option.has_sizeof 0.000345 s: turing.TM2.cfg.sizeof 0.008635 s: one_div_neg 0.046658 s: div_le_iff_of_neg 0.033693 s: inv_le_inv_of_neg 0.024855 s: inv_le_of_neg 0.035711 s: lt_inv_of_neg 0.004413 s: diffeomorph.to_equiv 0.002377 s: diffeomorph.times_cont_mdiff_inv_fun 0.002214 s: diffeomorph.times_cont_mdiff_to_fun 0.003190 s: diffeomorph.symm 0.002786 s: diffeomorph.symm_to_equiv 0.000153 s: with_zero.comm_group_with_zero._proof_2 0.000201 s: param_info 0.000101 s: param_info.cases_on 0.000096 s: param_info.no_confusion_type 0.000315 s: param_info.no_confusion 0.000474 s: list.nat.length_antidiagonal 0.000739 s: multiset.nat.card_antidiagonal 0.003153 s: finset.nat.card_antidiagonal 0.000471 s: category_theory.as_hom 0.000620 s: category_theory.eval 0.000435 s: category_theory.eval.equations._eqn_1 0.000237 s: composition.cases_on 0.000598 s: composition.ext 0.005224 s: nonempty_fin_lin_ord 0.000841 s: nonempty_fin_lin_ord.top 0.000073 s: algebraic_geometry.SheafedSpace.sheaf._proof_9 0.000144 s: tactic.abel.normalize_mode 0.000019 s: tactic.abel.normalize_mode.term.inj 0.000044 s: tactic.abel.normalize_mode.term.inj_eq 0.004475 s: intermediate_field.lifts.upper_bound_alg_hom._proof_2 0.004304 s: intermediate_field.lifts.upper_bound_alg_hom._proof_3 0.002408 s: intermediate_field.lifts.exists_max_three 0.006243 s: intermediate_field.lifts.eq_of_le 0.043722 s: intermediate_field.lifts.upper_bound_alg_hom._proof_4 0.008010 s: intermediate_field.lifts.upper_bound_alg_hom._proof_5 0.045150 s: intermediate_field.lifts.upper_bound_alg_hom._proof_6 0.011001 s: intermediate_field.lifts.upper_bound_alg_hom._proof_7 0.046240 s: intermediate_field.lifts.upper_bound_alg_hom 0.005514 s: intermediate_field.lifts.upper_bound 0.000028 s: mvqpf.const 0.000157 s: mvqpf.const.equations._eqn_1 0.000142 s: padic.has_norm.equations._eqn_1 0.014166 s: linear_ordered_comm_group 0.002240 s: linear_ordered_comm_group.mul 0.002402 s: linear_ordered_comm_group.mul_assoc 0.001913 s: linear_ordered_comm_group.one 0.002422 s: linear_ordered_comm_group.one_mul 0.002109 s: linear_ordered_comm_group.mul_one 0.001959 s: linear_ordered_comm_group.npow 0.002507 s: linear_ordered_comm_group.npow_zero' 0.003039 s: linear_ordered_comm_group.npow_succ' 0.001840 s: linear_ordered_comm_group.inv 0.001698 s: linear_ordered_comm_group.div 0.004119 s: linear_ordered_comm_group.div_eq_mul_inv 0.009574 s: linear_ordered_comm_group.mul_left_inv 0.003207 s: linear_ordered_comm_group.mul_comm 0.000610 s: linear_ordered_comm_group.to_comm_group 0.000624 s: subgroup.to_linear_ordered_comm_group._proof_5 0.001639 s: category_theory.differential_object.hom.comm' 0.000233 s: functor.map_id 0.000164 s: category_theory.of_type_functor._proof_1 0.001597 s: category_theory.of_type_functor._proof_2 0.001231 s: category_theory.of_type_functor 0.000105 s: category_theory.of_type_monad._proof_1 0.000884 s: is_lawful_applicative.map_comp_pure 0.000547 s: category_theory.of_type_monad._proof_2 0.000101 s: mjoin 0.000682 s: is_lawful_monad.bind_pure_comp_eq_map 0.000104 s: mjoin.equations._eqn_1 0.000569 s: is_lawful_monad.bind_assoc 0.001046 s: map_bind 0.002607 s: mjoin_map_map 0.002455 s: category_theory.of_type_monad._proof_3 0.001421 s: mjoin_map_mjoin 0.005605 s: category_theory.of_type_monad._proof_4 0.000137 s: mjoin_pure 0.005487 s: category_theory.of_type_monad._proof_5 0.001141 s: bind_pure 0.001372 s: mjoin_map_pure 0.006650 s: category_theory.of_type_monad._proof_6 0.004450 s: category_theory.of_type_monad 0.000107 s: set.not_not_mem 0.000691 s: ultrafilter.has_pure._proof_1 0.000123 s: ultrafilter.has_pure 0.000052 s: filter.bind 0.001635 s: filter.mem_bind_sets' 0.001349 s: ultrafilter.mem_coe 0.002797 s: set.compl_set_of 0.002542 s: ultrafilter.bind._proof_1 0.000209 s: ultrafilter.bind 0.000039 s: ultrafilter.ultrafilter.has_bind 0.000253 s: ultrafilter.ultrafilter.monad 0.000293 s: ultrafilter.cases_on 0.001355 s: ultrafilter.coe_injective 0.001011 s: filter.is_lawful_functor 0.000093 s: filter.bind.equations._eqn_1 0.000575 s: filter.join_pure 0.000427 s: filter.pure_bind 0.000026 s: filter.has_bind 0.000241 s: filter.monad 0.000389 s: filter.mem_join_sets 0.357127 s: filter.is_lawful_monad 0.440988 s: ultrafilter.ultrafilter.is_lawful_monad 0.000150 s: Compactum 0.000115 s: Compactum.category 0.000099 s: Compactum.forget 0.000072 s: Compactum.has_coe_to_sort 0.001793 s: Compactum.str 0.000087 s: _private.2434016155.basic 0.000077 s: _private.2622920695.cl 0.000172 s: Compactum.topological_space._proof_1 0.003207 s: Compactum.topological_space._proof_2 0.001883 s: Compactum.topological_space._match_1 0.000326 s: Compactum.topological_space._proof_3 0.000990 s: Compactum.topological_space 0.000098 s: filter.exists_ultrafilter_le 0.000280 s: filter.exists_ultrafilter_iff 0.010024 s: mem_closure_iff_ultrafilter 0.002278 s: Compactum.le_nhds_of_str_eq 0.001755 s: has_finite_inter.finite_inter_closure 0.003606 s: ultrafilter.exists_ultrafilter_of_finite_inter_nonempty 0.000821 s: has_finite_inter 0.000728 s: has_finite_inter.finite_inter_closure.drec 0.000175 s: has_finite_inter.univ_mem 0.000150 s: has_finite_inter.inter_mem 0.005859 s: has_finite_inter.finite_inter_closure_insert 0.001983 s: _private.2931454337.basic_inter 0.002188 s: Compactum.is_closed_iff 0.000738 s: ultrafilter.nonempty_of_mem 0.002468 s: Compactum.incl 0.003439 s: Compactum.str_incl 0.002880 s: has_finite_inter.finite_inter_mem 0.000095 s: has_finite_inter.finite_inter_closure_has_finite_inter._proof_1 0.000238 s: has_finite_inter.finite_inter_closure_has_finite_inter 0.001742 s: Compactum.join 0.003864 s: Compactum.join_distrib 0.000489 s: ultrafilter.coe_le_coe 0.011531 s: _private.940609255.cl_cl 0.001314 s: Compactum.is_closed_cl 0.001975 s: _private.3816737189.subset_cl 0.035796 s: Compactum.str_eq_of_le_nhds 0.007367 s: Compactum.cl_eq_closure 0.000185 s: psigma.fintype_prop_right._match_2 0.000117 s: psigma.fintype_prop_right._match_1 0.000630 s: psigma.fintype_prop_right._match_3 0.000306 s: psigma.fintype_prop_right._match_3.equations._eqn_1 0.000153 s: matrix.minor 0.000374 s: matrix.sub_right 0.000388 s: matrix.sub_right.equations._eqn_1 0.001461 s: multiplicative.linear_ordered_comm_monoid._proof_13 0.003352 s: real.coe_comp_exp_order_iso 0.002066 s: order_iso.preimage_Ici 0.002673 s: order_iso.comap_at_top 0.000812 s: filter.map_comap_of_surjective 0.001495 s: order_iso.map_at_top 0.001194 s: filter.map_coe_Ioi_at_top 0.011685 s: real.map_exp_at_top 0.000229 s: real.comap_exp_at_top 0.000872 s: real.tendsto_exp_comp_at_top 0.001066 s: set.pi_mono 0.007002 s: lie_ideal.hom_of_le._proof_1 0.006696 s: lie_ideal.hom_of_le._proof_2 0.008970 s: lie_ideal.hom_of_le._proof_3 0.089743 s: lie_ideal.hom_of_le 0.013695 s: lie_ideal.coe_hom_of_le 0.000206 s: is_subgroup.to_is_submonoid 0.000395 s: subtype.group._proof_1 0.000296 s: subtype.group._proof_2 0.000352 s: subtype.group._proof_3 0.000662 s: subtype.group._proof_4 0.000495 s: subtype.group._proof_5 0.000185 s: is_subgroup.inv_mem 0.000583 s: subtype.group._proof_6 0.000819 s: is_subgroup.div_mem 0.000649 s: subtype.group._proof_7 0.004901 s: subtype.group._proof_8 0.007828 s: subtype.group._proof_9 0.003232 s: subtype.group 0.000292 s: is_monoid_hom.map_mul 0.001497 s: subtype_mk.is_monoid_hom 0.000657 s: left_cancel_monoid.one 0.000895 s: left_cancel_monoid.one_mul 0.000637 s: left_cancel_monoid.mul_one 0.000447 s: left_cancel_monoid.npow 0.001008 s: left_cancel_monoid.npow_zero' 0.000846 s: left_cancel_monoid.npow_succ' 0.000272 s: left_cancel_monoid.to_monoid 0.000201 s: mul_left_cancel_iff 0.000747 s: mul_right_eq_self 0.003490 s: is_monoid_hom.of_mul 0.000206 s: is_group_hom.to_is_monoid_hom 0.006821 s: subtype_mk.is_group_hom 0.001594 s: subtype_val.is_monoid_hom 0.004182 s: coe.is_group_hom 0.001143 s: set_inclusion.is_group_hom 0.000982 s: set_inclusion.is_group_hom.equations._eqn_1 0.001211 s: category_theory.functorial.map_id' 0.001113 s: submonoid.multiset_prod_mem 0.000917 s: submonoid.prod_mem 0.004610 s: subgroup.prod_mem 0.000314 s: set.maps_to.tendsto 0.001676 s: summable.add_compl 0.000675 s: summable.subtype 0.004056 s: summable_subtype_and_compl 0.000319 s: summable.neg 0.000482 s: summable.of_neg 0.000220 s: summable_neg_iff 0.009336 s: summable_abs_iff 0.000357 s: summable.of_abs 0.000755 s: set.mem_diff_singleton 0.000295 s: set.mem_diff_singleton_empty 0.001576 s: function.surjective.semigroup._proof_1 0.000192 s: function.surjective.semigroup 0.000536 s: function.surjective.monoid._proof_1 0.000726 s: function.surjective.mul_one_class._proof_1 0.000833 s: function.surjective.mul_one_class._proof_2 0.000359 s: function.surjective.mul_one_class 0.000379 s: function.surjective.monoid._proof_2 0.000401 s: function.surjective.monoid._proof_3 0.000363 s: function.surjective.monoid._proof_4 0.000303 s: function.surjective.monoid._proof_5 0.001199 s: function.surjective.monoid._proof_6 0.001064 s: function.surjective.monoid._proof_7 0.003153 s: function.surjective.monoid 0.004611 s: function.surjective.ring._proof_13 0.002029 s: bounded_continuous_function.has_scalar._proof_1 0.008195 s: bounded_continuous_function.has_scalar._proof_2 0.001576 s: bounded_continuous_function.has_scalar 0.015057 s: bounded_continuous_function.semimodule._proof_1 0.004828 s: bounded_continuous_function.semimodule._proof_2 0.006437 s: bounded_continuous_function.semimodule._proof_3 0.005922 s: bounded_continuous_function.semimodule._proof_4 0.001161 s: bounded_continuous_function.semimodule 0.001016 s: bounded_continuous_function.semimodule.equations._eqn_1 0.001680 s: asymptotics.is_o.tendsto_zero_of_tendsto 0.022626 s: nnreal.canonically_linear_ordered_add_monoid._match_1.equations._eqn_1 0.007438 s: zmod.eq_iff_modeq_nat 0.000209 s: transitive_one_one_reducible 0.000113 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj._proof_1 0.002722 s: category_theory.pairwise.diagram_map._main 0.000227 s: category_theory.pairwise.diagram_map 0.001415 s: category_theory.pairwise.diagram._proof_1 0.001164 s: category_theory.pairwise.diagram._proof_2 0.000772 s: category_theory.pairwise.diagram 0.000058 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj._proof_2 0.000628 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj._proof_3 0.000492 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj._proof_4 0.000088 s: category_theory.pairwise.diagram_map._main._proof_1 0.000060 s: category_theory.pairwise.diagram_map._main._proof_2 0.121326 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj._proof_5 0.067047 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj 0.000219 s: Module.rec_on 0.007271 s: metric.inf_dist_le_inf_dist_of_subset 0.005361 s: semiconj_by.div_right 0.000265 s: commute.div_right 0.000996 s: category_theory.limits.mono_factorisation.cases_on 0.000801 s: category_theory.limits.mono_factorisation.no_confusion_type 0.001138 s: category_theory.limits.mono_factorisation.no_confusion 0.000183 s: add_monoid_hom.to_multiplicative'._proof_1 0.000240 s: add_monoid_hom.to_multiplicative'._proof_2 0.000245 s: add_monoid_hom.to_multiplicative'._proof_3 0.000123 s: add_monoid_hom.to_multiplicative'._proof_4 0.005940 s: add_monoid_hom.to_multiplicative'._proof_5 0.005421 s: add_monoid_hom.to_multiplicative'._proof_6 0.004796 s: add_monoid_hom.to_multiplicative' 0.000889 s: add_equiv.cases_on 0.003675 s: add_equiv.ext 0.013709 s: add_equiv.to_multiplicative'._proof_7 0.001708 s: add_units.coe_zero 0.001520 s: add_units.coe_add 0.000349 s: add_units.coe_hom 0.000166 s: order.ideal.has_mem 0.000355 s: order.ideal.mem_of_le 0.000192 s: order.ideal.directed 0.003898 s: order.ideal.sup_mem 0.002227 s: order.ideal.inf._match_1 0.000841 s: order.ideal.inf._match_2 0.000169 s: Algebra.carrier 0.000049 s: Algebra.has_coe_to_sort 0.000189 s: Algebra.is_ring 0.000269 s: Algebra.is_algebra 0.000132 s: alg_hom.id._proof_1 0.000141 s: alg_hom.id._proof_2 0.000175 s: alg_hom.id._proof_3 0.000167 s: alg_hom.id._proof_4 0.000489 s: alg_hom.id._proof_5 0.001153 s: alg_hom.id 0.002240 s: alg_hom.comp_id 0.004472 s: Algebra.category_theory.category._proof_1 0.002712 s: alg_hom.id_comp 0.004091 s: Algebra.category_theory.category._proof_2 0.002747 s: Algebra.category_theory.category._proof_3 0.030238 s: Algebra.category_theory.category 0.000338 s: algebra.linear_map._proof_1 0.006056 s: algebra.linear_map._proof_2 0.000611 s: algebra.linear_map 0.018627 s: algebra.lmul' 0.016575 s: algebra.lmul'.equations._eqn_1 0.029336 s: algebra.lmul'_apply 0.036514 s: Module.monoidal_category.left_unitor_hom_apply 0.081918 s: Module.Mon_Module_equivalence_Algebra.inverse_obj._proof_1 0.049582 s: Module.monoidal_category.right_unitor_hom_apply 0.082705 s: Module.Mon_Module_equivalence_Algebra.inverse_obj._proof_2 0.091106 s: Module.Mon_Module_equivalence_Algebra.inverse_obj._proof_3 0.045798 s: Module.Mon_Module_equivalence_Algebra.inverse_obj 0.401057 s: Module.Mon_Module_equivalence_Algebra.inverse._proof_4 0.044240 s: continuous_linear_map.extend_to_𝕜._proof_1 0.001508 s: closure_operator 0.000164 s: closure_operator.to_preorder_hom 0.000091 s: closure_operator.has_coe_to_fun 0.000363 s: closure_operator.cases_on 0.000205 s: preorder_hom.cases_on 0.008793 s: closure_operator.ext 0.028926 s: Algebra.category_theory.category.equations._eqn_1 0.000650 s: category_theory.limits.biproduct.π 0.005394 s: category_theory.limits.bicone.ι_π 0.001269 s: category_theory.limits.biproduct.ι_π 0.001560 s: category_theory.limits.biproduct.ι_π_ne 0.001489 s: category_theory.limits.biproduct.ι_π_ne_assoc 0.000117 s: cardinal.ord.order_embedding._proof_1 0.000102 s: cardinal.ord.order_embedding._proof_2 0.008585 s: cardinal.ord.order_embedding 0.002039 s: cardinal.aleph_idx.initial_seg 0.000445 s: cardinal.aleph_idx 0.000202 s: cardinal.sup._proof_1 0.000115 s: cardinal.sup 0.000598 s: cardinal.le_sup 0.004136 s: cardinal.aleph_idx.rel_iso._match_1 0.000289 s: cardinal.aleph_idx.rel_iso._proof_1 0.000930 s: cardinal.aleph_idx.rel_iso 0.000203 s: cardinal.aleph'.rel_iso 0.000188 s: cardinal.aleph' 0.000067 s: cardinal.aleph 0.000071 s: cardinal.aleph.equations._eqn_1 0.000255 s: cardinal.aleph'_lt 0.002925 s: cardinal.aleph'_le 0.004463 s: cardinal.aleph'_aleph_idx 0.002167 s: ordinal.limit_le 0.002489 s: cardinal.aleph'_le_of_limit 0.003770 s: cardinal.omega_le 0.003830 s: cardinal.aleph'_zero 0.001541 s: cardinal.aleph_idx_lt 0.003200 s: cardinal.aleph_idx_le 0.003898 s: cardinal.aleph_idx_aleph' 0.002262 s: cardinal.aleph'_succ 0.001909 s: cardinal.aleph'_nat 0.003488 s: cardinal.aleph'_omega 0.000282 s: cardinal.omega_le_aleph' 0.000273 s: cardinal.omega_le_aleph 0.000905 s: cardinal.exists_aleph 0.000305 s: gpowers_mul_hom._proof_1 0.027467 s: linear_equiv.symm_conj_apply 0.012634 s: nat.mul_div_le_mul_div_assoc 0.001136 s: interval_integral 0.000755 s: interval_integral.equations._eqn_1 0.000854 s: set.Ioc_eq_empty 0.046424 s: measure_theory.simple_func.lintegral_zero 0.014587 s: measure_theory.lintegral_zero_measure 0.002005 s: measure_theory.integral_zero_measure 0.002217 s: interval_integral.integral_of_le 0.000464 s: measure_theory.measure.restrict.equations._eqn_1 0.002051 s: measure_theory.measure.le_lift_linear_apply 0.004705 s: measure_theory.measure.le_restrict_apply 0.028355 s: measure_theory.measure.measure_inter_eq_zero_of_restrict 0.012279 s: set.union_inter_distrib_right 0.002667 s: measure_theory.measure.restrict_apply_eq_zero' 0.003468 s: measure_theory.ae_restrict_iff' 0.001365 s: measure_theory.set_integral_congr_ae 0.000942 s: measure_theory.set_integral_congr 0.000195 s: measurable_set_Iic 0.004645 s: measurable_set_Ioc 0.001707 s: interval_integral.integral_symm 0.003267 s: interval_integral.integral_of_ge 0.007264 s: interval_integral.integral_congr 0.046007 s: complex.has_strict_deriv_at_sinh 0.031014 s: complex.has_deriv_at_sinh 0.032136 s: complex.differentiable_sinh 0.026927 s: complex.continuous_sinh 0.000073 s: _private.138443017.fib_aux_step 0.000130 s: list.func.sub 0.000112 s: omega.term.sub._main 0.000010 s: omega.term.sub 0.003854 s: omega.int.canonize._main 0.000016 s: omega.int.canonize 0.000086 s: omega.clause.append 0.000786 s: omega.int.dnf_core._main 0.000016 s: omega.int.dnf_core 0.001027 s: omega.int.dnf_core._main.equations._eqn_4 0.000096 s: omega.int.dnf_core.equations._eqn_4 0.000631 s: category_theory.iso.no_confusion_type 0.000971 s: category_theory.iso.no_confusion 0.001076 s: category_theory.iso.mk.inj 0.002636 s: category_theory.iso.mk.inj_eq 0.006947 s: smooth_ring 0.001633 s: smooth_ring.compatible 0.002484 s: smooth_ring.smooth_add 0.002762 s: smooth_ring.smooth_neg 0.001720 s: smooth_ring.to_lie_add_group 0.000636 s: smooth_map_comm_ring._proof_7 0.000506 s: is_add_hom.neg 0.000053 s: complex.tanh 0.000050 s: real.tanh 0.000071 s: real.tanh.equations._eqn_1 0.000048 s: complex.tanh.equations._eqn_1 0.018850 s: complex.sinh_zero 0.016711 s: complex.cosh_zero 0.016295 s: complex.tanh_zero 0.002580 s: real.tanh_zero 0.000540 s: list.map₂_left._main 0.000057 s: list.map₂_left 0.000085 s: list.map₂_right 0.000069 s: list.zip_right 0.002236 s: list.zip_right_nil_left 0.016596 s: polynomial.X_dvd_iff 0.000166 s: UniformSpace.uniform_continuous.category_theory.unbundled_hom 0.000140 s: UniformSpace.large_category 0.000090 s: CpltSepUniformSpace.category 0.000666 s: category_theory.induced_category.concrete_category._proof_1 0.000291 s: category_theory.induced_category.concrete_category 0.000138 s: UniformSpace.concrete_category 0.000133 s: CpltSepUniformSpace.concrete_category 0.000322 s: category_theory.induced_category.has_forget₂._proof_1 0.000753 s: category_theory.induced_category.has_forget₂ 0.000209 s: CpltSepUniformSpace.has_forget_to_UniformSpace 0.000110 s: CpltSepUniformSpace.of 0.000207 s: UniformSpace.completion_functor._proof_1 0.000096 s: UniformSpace.completion_functor._proof_2 0.000065 s: UniformSpace.completion_functor._proof_3 0.000047 s: UniformSpace.completion_functor._proof_4 0.000075 s: UniformSpace.completion_functor._proof_5 0.000057 s: UniformSpace.completion_functor._proof_6 0.000166 s: abstract_completion.space 0.000247 s: abstract_completion.uniform_struct 0.000123 s: abstract_completion.coe 0.000650 s: abstract_completion.uniform_inducing 0.000362 s: abstract_completion.dense 0.000393 s: abstract_completion.dense_inducing 0.000270 s: abstract_completion.extend 0.000170 s: abstract_completion.map 0.000338 s: uniform_space.completion.map 0.003056 s: abstract_completion.extend_def 0.001527 s: abstract_completion.uniform_continuous_extend 0.000357 s: abstract_completion.complete 0.000170 s: abstract_completion.separation 0.000517 s: abstract_completion.uniform_continuous_map 0.000776 s: uniform_space.completion.uniform_continuous_map 0.001226 s: UniformSpace.completion_functor._proof_7 0.000275 s: abstract_completion.induction_on 0.000536 s: abstract_completion.funext 0.000277 s: abstract_completion.continuous_extend 0.000260 s: abstract_completion.continuous_map 0.000237 s: dense_inducing.extend_eq 0.000432 s: abstract_completion.extend_coe 0.000116 s: abstract_completion.uniform_continuous_coe 0.001363 s: abstract_completion.map_unique 0.000316 s: abstract_completion.map_id 0.000188 s: uniform_space.completion.map_id 0.002946 s: UniformSpace.completion_functor._proof_8 0.000124 s: uniform_space.completion.extension 0.000609 s: uniform_space.completion.ext 0.000428 s: uniform_space.completion.continuous_extension 0.000607 s: uniform_space.completion.continuous_map 0.000784 s: abstract_completion.map_coe 0.000555 s: uniform_space.completion.map_coe 0.000364 s: uniform_space.completion.extension_coe 0.001845 s: uniform_space.completion.extension_map 0.000279 s: uniform_space.completion.uniform_continuous_coe 0.001308 s: uniform_space.completion.map_comp 0.007581 s: UniformSpace.completion_functor._proof_9 0.003916 s: UniformSpace.completion_functor 0.000335 s: UniformSpace.completion_hom._proof_1 0.001677 s: UniformSpace.completion_hom 0.001034 s: UniformSpace.quiver.hom.has_coe_to_fun 0.000404 s: uniform_space.completion.uniform_continuous_extension 0.000181 s: CpltSepUniformSpace.is_complete_space 0.000169 s: CpltSepUniformSpace.complete_space 0.000944 s: UniformSpace.extension_hom._proof_1 0.001392 s: UniformSpace.extension_hom 0.001167 s: abstract_completion.extend_comp_coe 0.000464 s: uniform_space.completion.extension_comp_coe 0.004687 s: UniformSpace.extension_comp_coe 0.001381 s: UniformSpace.adj._proof_1 0.003707 s: UniformSpace.adj._proof_2 0.001331 s: UniformSpace.hom_ext 0.000880 s: UniformSpace.coe_comp 0.018940 s: UniformSpace.adj._proof_3 0.009512 s: UniformSpace.adj._proof_4 0.006392 s: UniformSpace.adj 0.000261 s: UniformSpace.category_theory.forget₂.category_theory.is_right_adjoint 0.001705 s: is_poly 0.000043 s: poly 0.000153 s: poly.const 0.000060 s: poly.one 0.000303 s: poly.one.equations._eqn_1 0.000850 s: alg_equiv.of_linear_equiv._proof_1 0.000447 s: alg_equiv.of_linear_equiv._proof_2 0.000724 s: alg_equiv.of_linear_equiv._proof_3 0.005721 s: alg_equiv.of_linear_equiv 0.021185 s: linear_map.to_matrix'_mul 0.016366 s: linear_map.to_matrix_alg_equiv'._proof_1 0.006620 s: module.algebra_map_End_eq_smul_id 0.022128 s: linear_map.to_matrix'_id 0.003892 s: matrix_algebra._proof_1 0.000677 s: matrix_algebra._proof_2 0.000489 s: matrix_algebra._proof_3 0.000427 s: matrix_algebra._proof_4 0.005389 s: matrix_algebra._proof_5 0.005452 s: matrix_algebra._proof_6 0.002204 s: matrix_algebra 0.001407 s: matrix.algebra_map_eq_smul 0.157789 s: linear_map.to_matrix_alg_equiv'._proof_2 0.095790 s: linear_map.to_matrix_alg_equiv' 0.000173 s: io.process.stdio 0.000255 s: io.process.spawn_args 0.000866 s: monad_io_process 0.000123 s: monad_io_process.child 0.008172 s: category_theory.limits.preserves_colimit_of_preserves_colimit_cocone 0.002409 s: category_theory.limits.preserves_split_coequalizers._proof_1 0.000550 s: category_theory.limits.preserves_split_coequalizers._proof_2 0.000431 s: category_theory.limits.preserves_split_coequalizers._proof_3 0.001044 s: category_theory.is_split_coequalizer.map._proof_1 0.001420 s: category_theory.is_split_coequalizer.map._proof_2 0.001375 s: category_theory.is_split_coequalizer.map._proof_3 0.001932 s: category_theory.is_split_coequalizer.map._proof_4 0.001661 s: category_theory.is_split_coequalizer.map 0.002901 s: category_theory.limits.preserves_split_coequalizers 0.000421 s: NFA 0.000636 s: set.monad 0.000098 s: NFA.step 0.000105 s: NFA.step_set 0.000106 s: NFA.eval_from 0.000194 s: finsum 0.000279 s: finsum.equations._eqn_1 0.000409 s: function.nmem_support 0.001064 s: finsum_eq_sum_plift_of_support_to_finset_subset 0.001137 s: finsum_eq_sum_plift_of_support_subset 0.002775 s: add_monoid_hom.map_finsum_plift 0.001193 s: add_monoid_hom.map_finsum 0.000186 s: fintype.of_subsingleton'._proof_1 0.000128 s: fintype.of_subsingleton' 0.000054 s: plift.unique 0.001696 s: finsum_unique 0.001273 s: finsum_zero 0.000333 s: finsum_of_empty 0.000521 s: finsum_eq_dif 0.000136 s: finsum_eq_if 0.000631 s: finsum_eq_indicator_apply 0.000204 s: set.finite.of_fintype 0.000467 s: add_monoid_hom.map_finsum_Prop 0.001784 s: add_monoid_hom.map_finsum_mem' 0.000093 s: set.finite.inter_of_left 0.000586 s: add_monoid_hom.map_finsum_mem 0.000341 s: order.ideal.is_maximal.drec 0.000102 s: algebraic_geometry.SheafedSpace.category_theory.category._proof_1 0.000043 s: algebraic_geometry.SheafedSpace.category_theory.category._proof_2 0.000089 s: algebraic_geometry.PresheafedSpace.coe_carrier 0.001745 s: topological_space.opens.map._proof_1 0.001032 s: topological_space.opens.map._proof_2 0.001017 s: topological_space.opens.map._proof_3 0.003906 s: topological_space.opens.map._proof_4 0.007404 s: topological_space.opens.map._proof_5 0.009243 s: topological_space.opens.map._proof_6 0.009572 s: topological_space.opens.map 0.000770 s: Top.presheaf.pushforward_obj 0.004038 s: algebraic_geometry.PresheafedSpace.hom 0.007318 s: category_theory.nat_trans.op._proof_1 0.001892 s: category_theory.nat_trans.op 0.001059 s: topological_space.opens.ext 0.002502 s: topological_space.opens.map_id_obj 0.001953 s: topological_space.opens.map_id._proof_1 0.000306 s: topological_space.opens.map_id._proof_2 0.001049 s: topological_space.opens.map_id._proof_3 0.016215 s: topological_space.opens.map_id._proof_4 0.018517 s: topological_space.opens.map_id._proof_5 0.011992 s: topological_space.opens.map_id 0.014947 s: algebraic_geometry.PresheafedSpace.id 0.000933 s: algebraic_geometry.PresheafedSpace.hom.base 0.002282 s: algebraic_geometry.PresheafedSpace.hom.c 0.005895 s: category_theory.nat_iso.op._proof_1 0.003394 s: category_theory.nat_iso.op._proof_2 0.001239 s: category_theory.nat_iso.op 0.003223 s: topological_space.opens.map_comp_obj 0.001983 s: topological_space.opens.map_comp._proof_1 0.000667 s: topological_space.opens.map_comp._proof_2 0.001806 s: topological_space.opens.map_comp._proof_3 0.068599 s: topological_space.opens.map_comp._proof_4 0.075216 s: topological_space.opens.map_comp._proof_5 0.046560 s: topological_space.opens.map_comp 0.046472 s: Top.presheaf.pushforward.comp 0.007406 s: algebraic_geometry.PresheafedSpace.comp 0.001319 s: topological_space.opens.map_iso._proof_1 0.001273 s: topological_space.opens.map_iso._proof_2 0.011735 s: topological_space.opens.map_iso 0.002434 s: algebraic_geometry.PresheafedSpace.hom.cases_on 0.001933 s: category_theory.whisker_right_id' 0.000954 s: algebraic_geometry.PresheafedSpace.hom.no_confusion_type 0.001259 s: algebraic_geometry.PresheafedSpace.hom.no_confusion 0.001633 s: algebraic_geometry.PresheafedSpace.hom.mk.inj 0.005914 s: algebraic_geometry.PresheafedSpace.hom.mk.inj_eq 0.032517 s: algebraic_geometry.PresheafedSpace.ext 0.125042 s: Top.presheaf.pushforward.comp_inv_app 0.063207 s: algebraic_geometry.PresheafedSpace.category_of_PresheafedSpaces._proof_1 0.056031 s: algebraic_geometry.PresheafedSpace.category_of_PresheafedSpaces._proof_2 0.383315 s: algebraic_geometry.PresheafedSpace.category_of_PresheafedSpaces._proof_3 0.001142 s: algebraic_geometry.PresheafedSpace.category_of_PresheafedSpaces 0.000083 s: algebraic_geometry.SheafedSpace.category_theory.category._proof_3 0.000474 s: algebraic_geometry.SheafedSpace.category_theory.category 0.022592 s: algebraic_geometry.SheafedSpace.comp_c_app 0.000562 s: list.last'._main 0.000049 s: list.last' 0.000828 s: list.last'._main.equations._eqn_3 0.000118 s: list.last'.equations._eqn_3 0.003175 s: list.last'_append_cons 0.000195 s: omega.nat.preterm.no_confusion_type 0.000640 s: omega.nat.preterm.no_confusion 0.000157 s: omega.nat.preterm.cst.inj 0.000081 s: omega.nat.preterm.cst.inj_arrow 0.000127 s: omega.nat.preterm.var.inj 0.000065 s: omega.nat.preterm.var.inj_arrow 0.000098 s: omega.nat.preterm.add.inj 0.000114 s: omega.nat.preterm.add.inj_arrow 0.000141 s: omega.nat.preterm.sub.inj 0.000083 s: omega.nat.preterm.sub.inj_arrow 0.002877 s: omega.nat.preterm.decidable_eq 0.000626 s: omega.nat.preterm.sub_subst._main 0.000024 s: omega.nat.preterm.sub_subst 0.000801 s: omega.nat.preform.sub_subst._main 0.000033 s: omega.nat.preform.sub_subst 0.000509 s: omega.nat.preform.sub_subst._main.equations._eqn_5 0.000104 s: omega.nat.preform.sub_subst.equations._eqn_5 0.001479 s: hahn_series.support_neg 0.000083 s: category_theory.arrow 0.000112 s: category_theory.arrow.category 0.008362 s: category_theory.arrow.lift_struct 0.000637 s: category_theory.arrow.has_lift 0.000392 s: category_theory.arrow.mk 0.003469 s: category_theory.arrow.hom_mk' 0.002203 s: category_theory.strong_epi 0.001310 s: category_theory.limits.strong_epi_mono_factorisation 0.000369 s: category_theory.limits.has_strong_epi_mono_factorisations 0.000116 s: category_theory.limits.has_strong_epi_mono_factorisations.mk 0.001576 s: affine_equiv.linear 0.002475 s: affine_equiv.map_vadd' 0.003375 s: affine_equiv.to_affine_map 0.006579 s: affine_equiv.apply_line_map 0.002094 s: affine_equiv.map_midpoint 0.001373 s: list.last_append 0.000121 s: has_compl.rec_on 0.000605 s: pi.monotone_apply._proof_1 0.000386 s: pi.monotone_apply 0.000455 s: omega_complete_partial_order.le_ωSup_of_le 0.004333 s: pi.omega_complete_partial_order._proof_1 0.004178 s: pi.omega_complete_partial_order._proof_2 0.002248 s: pi.omega_complete_partial_order 0.003083 s: preorder_hom.bind._proof_1 0.000429 s: preorder_hom.bind 0.001105 s: omega_complete_partial_order.continuous.of_bundled' 0.000404 s: omega_complete_partial_order.ωSup_le_iff 0.002505 s: roption.bind_le 0.002814 s: roption.mem_ωSup 0.000955 s: omega_complete_partial_order.chain.map_to_fun 0.000854 s: preorder_hom.bind_to_fun 0.000518 s: pi.monotone_apply_to_fun 0.018726 s: omega_complete_partial_order.continuous_hom.ωSup_bind 0.006606 s: omega_complete_partial_order.continuous_hom.bind_continuous' 0.000113 s: Profinite.has_coe_to_sort 0.000224 s: Profinite.coe_to_Top 0.000194 s: linarith.ineq 0.000098 s: linarith.ineq.cases_on 0.000110 s: linarith.ineq.cmp._main 0.000102 s: linarith.ineq.cmp._main.equations._eqn_9 0.003425 s: multiset.sections._proof_1 0.000267 s: multiset.sections 0.002553 s: ring_quot.rel.neg 0.001727 s: ring_quot.rel.sub_right 0.001136 s: ring_quot.rel.sub_left 0.000495 s: _private.2036577591.sub._main 0.000061 s: _private.2036577591.sub 0.000078 s: ring_quot.has_sub 0.000507 s: _private.2036577591.sub._main.equations._eqn_1 0.000585 s: _private.2036577591.sub.equations._eqn_1 0.001426 s: ring_quot.sub_quot 0.000688 s: ordnode.dual._main 0.000025 s: ordnode.dual 0.000078 s: ordnode.node3_r 0.000094 s: ordnode.node4_r._main 0.000025 s: ordnode.node4_r 0.000218 s: ordnode.rotate_r._main 0.000067 s: ordnode.rotate_r 0.000063 s: ordnode.node3_l 0.000141 s: ordnode.node4_l._main 0.000084 s: ordnode.node4_l 0.000137 s: ordnode.rotate_l._main 0.000027 s: ordnode.rotate_l 0.000916 s: ordnode.dual._main.equations._eqn_2 0.000110 s: ordnode.dual.equations._eqn_2 0.002100 s: ordnode.dual_dual 0.000247 s: ordnode.rotate_l._main.equations._eqn_1 0.000202 s: ordnode.rotate_l.equations._eqn_1 0.000107 s: ordnode.node'.equations._eqn_1 0.000700 s: ordnode.size_dual 0.000122 s: ordnode.no_confusion_type 0.000302 s: ordnode.no_confusion 0.000245 s: ordnode.node.inj 0.000591 s: ordnode.node.inj_eq 0.004662 s: ordnode.dual_node' 0.000371 s: ordnode.dual._main.equations._eqn_1 0.000052 s: ordnode.dual.equations._eqn_1 0.000300 s: ordnode.rotate_r._main.equations._eqn_1 0.000102 s: ordnode.rotate_r.equations._eqn_1 0.000669 s: ordnode.rotate_l._main.equations._eqn_2 0.000183 s: ordnode.rotate_l.equations._eqn_2 0.000419 s: ordnode.rotate_r._main.equations._eqn_2 0.000192 s: ordnode.rotate_r.equations._eqn_2 0.000138 s: ordnode.node3_l.equations._eqn_1 0.000076 s: ordnode.node3_r.equations._eqn_1 0.000868 s: ordnode.dual_node3_l 0.000149 s: ordnode.node4_l._main.equations._eqn_1 0.000078 s: ordnode.node4_l.equations._eqn_1 0.000237 s: ordnode.node4_r._main.equations._eqn_1 0.000079 s: ordnode.node4_r.equations._eqn_1 0.000260 s: ordnode.node4_l._main.equations._eqn_2 0.000108 s: ordnode.node4_l.equations._eqn_2 0.000168 s: ordnode.node4_r._main.equations._eqn_2 0.000181 s: ordnode.node4_r.equations._eqn_2 0.002063 s: ordnode.dual_node4_l 0.001879 s: ordnode.dual_rotate_l 0.000483 s: ordnode.dual_rotate_r 0.000560 s: punit.neg_eq 0.000613 s: parser.bounded 0.000641 s: dlist.lazy_of_list._aux_1 0.000161 s: dlist.lazy_of_list 0.000227 s: parser.decorate_errors._match_1 0.000128 s: parser.decorate_errors 0.000073 s: parser.decorate_error 0.000417 s: dlist.of_list._aux_1 0.000108 s: dlist.of_list 0.000156 s: parser.decorate_errors.equations._eqn_1 0.000135 s: parser.decorate_errors._match_1.equations._eqn_1 0.000763 s: dlist_lazy 0.000168 s: parser.decorate_errors._match_1.equations._eqn_2 0.002851 s: parser.decorate_errors_eq_fail 0.000140 s: parser.bounded.ex' 0.000221 s: parser.bounded.exists 0.001315 s: parser.bounded.decorate_errors 0.000162 s: parser.bounded.decorate_error 0.000199 s: parser.bounded.decorate_error.equations._eqn_1 0.000016 s: nat.partrec.code.right.inj 0.000292 s: monad_cont.label 0.000182 s: monad_cont 0.000085 s: monad_cont.rec_on 0.000258 s: uliftable.cases_on 0.000750 s: tactic.ring2.csring_expr 0.000064 s: tactic.ring2.csring_expr.inhabited 0.000030 s: tactic.ring2.csring_expr.inhabited.equations._eqn_1 0.001156 s: ordinal.sub_eq_zero_iff_le 0.000508 s: ordinal.nat_cast_le 0.000162 s: initial_seg.le_add._proof_1 0.000109 s: initial_seg.le_add._proof_2 0.001607 s: initial_seg.le_add._proof_3 0.000854 s: initial_seg.le_add 0.002457 s: initial_seg.trans_apply 0.000765 s: initial_seg.le_add_apply 0.013605 s: ordinal.add_le_add_iff_left 0.002140 s: ordinal.add_left_cancel 0.002063 s: ordinal.nat_cast_sub 0.000508 s: measure_theory.measure_space.volume 0.000183 s: measure_theory.lebesgue_length 0.030603 s: measure_theory.lebesgue_length_empty 0.000076 s: measure_theory.lebesgue_outer 0.007361 s: mem_nhds_iff_exists_Ioo_subset' 0.000396 s: mem_nhds_iff_exists_Ioo_subset 0.332549 s: real.is_topological_basis_Ioo_rat 0.000300 s: real.borel_eq_generate_from_Ioo_rat 0.307963 s: real.borel_eq_generate_from_Iio_rat 0.028555 s: measure_theory.lebesgue_length_mono 0.000203 s: set.Ico.equations._eqn_1 0.003486 s: set.Ico_inter_Iio 0.000103 s: nnreal.of_real_of_nonpos 0.002382 s: set.Ico_subset_Ico_iff 0.008306 s: sub_le_sub 0.045742 s: measure_theory.lebesgue_length_Ico 0.010530 s: set.Ico_diff_Iio 0.000455 s: set.Ico_eq_empty 0.001637 s: sub_add_sub_cancel' 0.062523 s: measure_theory.is_lebesgue_measurable_Iio 0.009366 s: measure_theory.borel_le_lebesgue_measurable 0.001774 s: measure_theory.real.measure_space._proof_1 0.003917 s: ennreal.zero_lt_coe_iff 0.000170 s: measure_theory.lebesgue_length.equations._eqn_1 0.003243 s: measurable_set_Ico 0.001290 s: set.Icc_diff_right 0.028223 s: measure_theory.outer_measure.diff_null 0.000779 s: set.Icc_subset_Ico_right 0.014423 s: nnreal.of_real_add_le 0.003455 s: ennreal.of_real_add_le 0.037054 s: measure_theory.lebesgue_length_eq_infi_Icc 0.013471 s: measure_theory.lebesgue_length_Icc 0.000262 s: measure_theory.lebesgue_outer_le_length 0.000891 s: set.Ico_subset_Ioo_left 0.058526 s: measure_theory.lebesgue_length_eq_infi_Ioo 0.008214 s: finset.coe_ssubset 0.003866 s: finset.ssubset_iff 0.000453 s: finset.ssubset_insert 0.000302 s: finset.erase_ssubset 0.067410 s: measure_theory.lebesgue_length_subadditive 0.041194 s: measure_theory.lebesgue_outer_Icc 0.005828 s: measure_theory.lebesgue_outer_singleton 0.001673 s: measure_theory.lebesgue_outer_Ico 0.034388 s: measure_theory.lebesgue_outer_trim 0.002461 s: measure_theory.real.measure_space 0.010951 s: interval_integral.integral_cases 0.002074 s: interval_integral.norm_integral_eq_norm_integral_Ioc 0.000943 s: measure_theory.lebesgue_outer_Ioc 0.002240 s: real.volume_Ioc 0.018056 s: max_sub_min_eq_abs' 0.000672 s: max_sub_min_eq_abs 0.002835 s: measure_theory.measure.restrict_apply_univ 0.146375 s: measure_theory.integral_mono_ae 0.136628 s: measure_theory.integral_mono_of_nonneg 0.130536 s: measure_theory.norm_integral_le_of_norm_le 0.080404 s: measure_theory.has_finite_integral_const_iff 0.008130 s: measure_theory.integrable_const_iff 0.002069 s: measure_theory.integrable_const 0.094670 s: measure_theory.integral_const 0.141894 s: measure_theory.norm_integral_le_of_norm_le_const 0.014833 s: measure_theory.norm_set_integral_le_of_norm_le_const_ae 0.005431 s: measure_theory.ae_restrict_eq 0.001671 s: measure_theory.norm_set_integral_le_of_norm_le_const_ae'' 0.005067 s: ennreal.of_real_lt_top 0.060885 s: interval_integral.norm_integral_le_of_norm_le_const_ae 0.000129 s: tactic.ring2.csring_expr.below 0.000245 s: quaternion_algebra.has_zero.equations._eqn_1 0.013441 s: fact_one_le_top_ennreal 0.001461 s: measure_theory.Lp.normed_group_Ltop 0.001672 s: measure_theory.Lp.normed_space_Ltop 0.003431 s: geom_sum_mul_add 0.072687 s: nat.sum_pow_two_lt 0.011763 s: tactic_doc._3125102290 0.000070 s: star 0.002370 s: is_CHSH_tuple 0.001091 s: is_CHSH_tuple.mk.inj 0.001613 s: is_CHSH_tuple.mk.inj_eq 0.001056 s: continuous_map.equiv_bounded_of_compact.equations._eqn_1 0.000050 s: PartialOrder 0.000092 s: preorder_hom.id 0.001163 s: preorder_hom.ext 0.000389 s: preorder_hom.coe_inj 0.000066 s: Preorder.preorder_hom.category_theory.bundled_hom._proof_1 0.000121 s: Preorder.preorder_hom.category_theory.bundled_hom._proof_2 0.000886 s: Preorder.preorder_hom.category_theory.bundled_hom 0.000099 s: PartialOrder.partial_order.to_preorder.category_theory.bundled_hom.parent_projection 0.000220 s: PartialOrder.large_category 0.004731 s: algebra.coe_top 0.175797 s: subalgebra_top_findim_eq_submodule_top_findim 0.000113 s: pfunctor.Idx 0.000023 s: pfunctor.approx.path 0.017481 s: pfunctor.M.isubtree._main 0.000059 s: pfunctor.M.isubtree 0.000830 s: pfunctor.M.isubtree._sunfold 0.002225 s: filter.has_add._proof_1 0.001362 s: filter.has_add._proof_2 0.002677 s: filter.has_add._proof_3 0.000580 s: filter.has_add 0.000069 s: filter.has_zero 0.000306 s: set.zero_subset 0.000798 s: filter.mem_zero 0.001789 s: filter.zero_add 0.010198 s: znum.cast_add 0.048025 s: znum.cast_inj 0.020470 s: znum.add_comm_group._proof_1 0.000180 s: znum.add_comm_group._proof_2 0.000142 s: znum.add_comm_group._proof_3 0.011571 s: znum.add_comm_group._proof_4 0.000194 s: znum.add_comm_group._proof_6 0.012760 s: znum.add_comm_group._proof_7 0.017969 s: znum.add_comm_group._proof_8 0.012180 s: znum.add_comm_group._proof_9 0.004399 s: znum.add_comm_group 0.000114 s: znum.mul._main 0.000009 s: znum.mul 0.000021 s: znum.has_mul 0.002521 s: pos_num.cast_mul 0.013192 s: znum.mul_to_int 0.012078 s: znum.linear_ordered_comm_ring._proof_1 0.013151 s: znum.linear_ordered_comm_ring._proof_2 0.010784 s: znum.linear_ordered_comm_ring._proof_3 0.000154 s: ordered_ring.npow._default 0.000177 s: linear_ordered_ring.npow._default 0.008616 s: znum.linear_ordered_comm_ring._proof_4 0.010740 s: znum.linear_ordered_comm_ring._proof_5 0.009357 s: znum.linear_ordered_comm_ring._proof_6 0.011309 s: znum.linear_ordered_comm_ring._proof_7 0.016590 s: znum.linear_ordered_comm_ring._proof_8 0.014989 s: znum.linear_ordered_comm_ring._proof_9 0.000101 s: znum.cmp._main 0.000012 s: znum.cmp 0.000032 s: znum.has_lt 0.000026 s: znum.has_le 0.000080 s: znum.neg.inj_eq 0.052702 s: znum.cmp_to_int 0.008743 s: znum.lt_to_int 0.000695 s: znum.le_to_int 0.000655 s: znum.linear_order._proof_1 0.001232 s: znum.linear_order._proof_2 0.001455 s: znum.linear_order._proof_3 0.004095 s: znum.linear_order._proof_4 0.003380 s: znum.linear_order._proof_5 0.000168 s: znum.decidable_le._main 0.000014 s: znum.decidable_le 0.000129 s: znum.decidable_lt._main 0.000016 s: znum.decidable_lt 0.000937 s: znum.linear_order 0.024531 s: znum.linear_ordered_comm_ring._proof_10 0.048732 s: znum.linear_ordered_comm_ring._proof_11 0.013375 s: znum.linear_ordered_comm_ring._proof_12 0.000293 s: znum.linear_ordered_comm_ring._proof_13 0.012691 s: znum.linear_ordered_comm_ring._proof_14 0.007621 s: znum.linear_ordered_comm_ring 0.000048 s: znum.abs._main 0.000010 s: znum.abs 0.000119 s: znum.mod._main 0.000009 s: znum.mod 0.000024 s: znum.has_mod 0.039466 s: znum.dvd_to_int 0.008321 s: znum.abs_to_nat 0.001746 s: int.sub_nat_nat_eq_coe 0.000243 s: pos_num.to_nat_eq_succ_pred 0.000825 s: pos_num.to_int_eq_succ_pred 0.010278 s: znum.mod_to_int 0.001695 s: znum.dvd_iff_mod_eq_zero 0.000127 s: znum.has_dvd.dvd.decidable_rel._main 0.000356 s: equiv.perm.support 0.000369 s: equiv.perm.support.equations._eqn_1 0.001003 s: equiv.perm.mem_support 0.003256 s: equiv.perm.pow_apply_eq_self_of_apply_eq_self 0.000696 s: equiv.perm.inv_eq_iff_eq 0.001509 s: equiv.perm.gpow_apply_eq_self_of_apply_eq_self 0.000887 s: equiv.perm.support_pow_le 0.011218 s: enorm 0.000999 s: enorm.has_top._proof_1 0.031347 s: enorm.has_top._proof_2 0.086558 s: enorm.has_top._proof_3 0.010123 s: enorm.has_top 0.005113 s: polynomial.leading_coeff_add_of_degree_lt 0.000958 s: polynomial.monic_add_of_right 0.046329 s: module.flat 0.021531 s: module.flat.drec_on 0.043621 s: has_deriv_at.of_local_left_inverse 0.006359 s: sequentially_complete.seq_is_cauchy_seq 0.002215 s: nat.gcd_dvd_gcd_of_dvd_left 0.000058 s: char.inhabited 0.000072 s: string.iterator.curr._main 0.000009 s: string.iterator.curr 0.000078 s: char.val 0.000011 s: char.to_nat 0.000064 s: string.iterator.next._main 0.000012 s: string.iterator.next 0.001502 s: _private.2377336987.to_nat_core._main 0.000012 s: _private.2377336987.to_nat_core 0.000367 s: set.not_mem_subset 0.003092 s: set.not_mem_Ici 0.000228 s: set.not_mem_Icc_of_lt 0.015737 s: continuous_linear_map.lmul_rightₗᵢ._proof_5 0.000095 s: pempty.topological_space 0.000104 s: pempty.topological_space.equations._eqn_1 0.002965 s: direct_sum.ghas_one.of_add_submonoids 0.000450 s: is_cyclic 0.000251 s: order_of 0.000303 s: order_of.equations._eqn_1 0.000986 s: order_of_pos' 0.000142 s: not_injective_infinite_fintype 0.027973 s: exists_pow_eq_one 0.000199 s: order_of_pos 0.004468 s: pow_order_of_eq_one 0.001213 s: gpow_eq_mod_order_of 0.005192 s: mem_powers_iff_mem_gpowers 0.001698 s: powers_eq_gpowers 0.000601 s: decidable_gpowers._proof_1 0.001488 s: finset.mem_range_iff_mem_finset_range_of_mod_eq' 0.000926 s: pow_eq_mod_order_of 0.000877 s: mem_powers_iff_mem_range_order_of 0.000273 s: decidable_powers._proof_1 0.000728 s: decidable_powers 0.002557 s: decidable_gpowers 0.001856 s: nat.mul_div_cancel_left' 0.000257 s: nat.dvd_of_mul_dvd_mul_left 0.000272 s: nat.dvd_of_mul_dvd_mul_right 0.000228 s: fin_equiv_powers._proof_1 0.000600 s: nat.lt_add_left 0.002527 s: order_of_le_of_pow_eq_one' 0.001196 s: order_of_le_of_pow_eq_one 0.004919 s: pow_injective_aux 0.000563 s: pow_injective_of_lt_order_of 0.002714 s: fin_equiv_powers._match_1 0.001800 s: fin_equiv_powers._match_2 0.003570 s: fin_equiv_powers._match_3 0.001583 s: fin_equiv_powers._proof_2 0.001128 s: fin_equiv_powers 0.007347 s: fin_equiv_gpowers 0.002724 s: order_eq_card_gpowers 0.000598 s: set_like.coe_sort_coe 0.004374 s: order_of_eq_card_of_forall_mem_gpowers 0.006453 s: order_of_dvd_of_pow_eq_one 0.003015 s: pow_gcd_eq_one 0.001503 s: fintype.fintype_prod_left._match_1 0.000195 s: fintype.fintype_prod_left._proof_1 0.000209 s: fintype.fintype_prod_left 0.000059 s: left_coset 0.000031 s: equiv.sigma_preimage_equiv._proof_1 0.001581 s: equiv.sigma_preimage_equiv._match_1 0.000581 s: equiv.sigma_preimage_equiv._proof_2 0.000403 s: equiv.sigma_preimage_equiv._proof_3 0.001273 s: equiv.sigma_preimage_equiv 0.001517 s: mem_left_coset_iff 0.000829 s: quotient_group.eq 0.001106 s: quotient_group.eq_class_eq_left_coset 0.000703 s: subgroup.group_equiv_quotient_times_subgroup._proof_1 0.000692 s: subgroup.group_equiv_quotient_times_subgroup._proof_2 0.000656 s: subgroup.left_coset_equiv_subgroup._proof_1 0.001657 s: subgroup.left_coset_equiv_subgroup._proof_2 0.005150 s: subgroup.left_coset_equiv_subgroup._match_1 0.002779 s: subgroup.left_coset_equiv_subgroup._proof_3 0.004714 s: subgroup.left_coset_equiv_subgroup._match_2 0.001958 s: subgroup.left_coset_equiv_subgroup._proof_4 0.002293 s: subgroup.left_coset_equiv_subgroup 0.001614 s: subgroup.group_equiv_quotient_times_subgroup 0.001363 s: fintype.fintype_prod_right._match_1 0.000157 s: fintype.fintype_prod_right._proof_1 0.000186 s: fintype.fintype_prod_right 0.000100 s: quotient_group.quotient.inhabited 0.004860 s: list.sum_const_nat 0.008734 s: multiset.card_product 0.001002 s: finset.card_product 0.000466 s: fintype.card_prod 0.005526 s: order_of_dvd_card_univ 0.000965 s: pow_card_eq_one 0.000771 s: pow_gcd_card_eq_one_iff 0.003914 s: order_of_pow'' 0.000169 s: order_of_pow 0.002816 s: nat.gcd_mul_left_left 0.000164 s: is_cyclic.exists_generator 0.012615 s: is_cyclic.card_pow_eq_one_le 0.000309 s: hahn_series.rec_on 0.000317 s: function.injective.add_left_cancel_semigroup._proof_1 0.001979 s: function.injective.add_left_cancel_semigroup._proof_2 0.000527 s: function.injective.add_left_cancel_semigroup 0.002125 s: function.injective.ordered_cancel_add_comm_monoid._proof_1 0.001436 s: function.injective.ordered_cancel_add_comm_monoid._proof_2 0.000520 s: function.injective.ordered_add_comm_monoid._proof_1 0.000516 s: function.injective.ordered_add_comm_monoid._proof_2 0.000430 s: function.injective.ordered_add_comm_monoid._proof_3 0.000880 s: function.injective.ordered_add_comm_monoid._proof_4 0.000537 s: function.injective.ordered_add_comm_monoid._proof_5 0.000415 s: function.injective.ordered_add_comm_monoid._proof_6 0.000137 s: function.injective.ordered_add_comm_monoid._proof_7 0.000133 s: function.injective.ordered_add_comm_monoid._proof_8 0.000223 s: function.injective.ordered_add_comm_monoid._proof_9 0.000347 s: function.injective.ordered_add_comm_monoid._proof_10 0.002071 s: function.injective.ordered_add_comm_monoid._proof_11 0.003431 s: function.injective.ordered_add_comm_monoid._proof_12 0.004534 s: function.injective.ordered_add_comm_monoid 0.009189 s: function.injective.ordered_cancel_add_comm_monoid._proof_3 0.007698 s: function.injective.ordered_cancel_add_comm_monoid._proof_4 0.009014 s: function.injective.ordered_cancel_add_comm_monoid._proof_5 0.012091 s: function.injective.ordered_cancel_add_comm_monoid._proof_6 0.008025 s: function.injective.ordered_cancel_add_comm_monoid._proof_7 0.009702 s: function.injective.ordered_cancel_add_comm_monoid._proof_8 0.009266 s: function.injective.ordered_cancel_add_comm_monoid._proof_9 0.009853 s: function.injective.ordered_cancel_add_comm_monoid._proof_10 0.009267 s: function.injective.ordered_cancel_add_comm_monoid._proof_11 0.011065 s: function.injective.ordered_cancel_add_comm_monoid._proof_12 0.002805 s: function.injective.ordered_cancel_add_comm_monoid._proof_13 0.017255 s: function.injective.ordered_cancel_add_comm_monoid 0.009022 s: function.injective.ordered_semiring._proof_1 0.005865 s: function.injective.ordered_semiring._proof_2 0.005625 s: function.injective.ordered_semiring._proof_3 0.003831 s: function.injective.ordered_semiring._proof_4 0.003775 s: function.injective.ordered_semiring._proof_5 0.003467 s: function.injective.ordered_semiring._proof_6 0.000718 s: function.injective.ordered_semiring._proof_7 0.000729 s: function.injective.ordered_semiring._proof_8 0.000645 s: function.injective.ordered_semiring._proof_9 0.001009 s: function.injective.ordered_semiring._proof_10 0.000798 s: function.injective.ordered_semiring._proof_11 0.000628 s: function.injective.ordered_semiring._proof_12 0.000547 s: function.injective.ordered_semiring._proof_13 0.000568 s: function.injective.ordered_semiring._proof_14 0.000558 s: function.injective.ordered_semiring._proof_15 0.004329 s: function.injective.ordered_semiring._proof_16 0.005019 s: function.injective.ordered_semiring._proof_17 0.004855 s: function.injective.ordered_semiring._proof_18 0.003925 s: function.injective.ordered_semiring._proof_19 0.006207 s: function.injective.ordered_semiring._proof_20 0.005360 s: function.injective.ordered_semiring._proof_21 0.004739 s: function.injective.ordered_semiring._proof_22 0.000771 s: function.injective.ordered_semiring._proof_23 0.019499 s: function.injective.ordered_semiring._proof_24 0.025377 s: function.injective.ordered_semiring._proof_25 0.031968 s: function.injective.ordered_semiring 0.037661 s: function.injective.ordered_ring._proof_20 0.006125 s: univ.is_add_submonoid.equations._eqn_1 0.000843 s: opposite.mul_action._proof_1 0.000767 s: opposite.mul_action._proof_2 0.000238 s: opposite.mul_action 0.000227 s: opposite.distrib_mul_action._proof_1 0.000195 s: opposite.distrib_mul_action._proof_2 0.003328 s: opposite.distrib_mul_action._proof_3 0.001239 s: opposite.distrib_mul_action._proof_4 0.000786 s: opposite.distrib_mul_action 0.010670 s: opposite.semimodule._proof_4 0.000148 s: generalized_continued_fraction.int_fract_pair 0.000231 s: fract 0.000117 s: generalized_continued_fraction.int_fract_pair.of 0.000068 s: generalized_continued_fraction.int_fract_pair.fr 0.001192 s: generalized_continued_fraction.int_fract_pair.stream._main 0.000067 s: generalized_continued_fraction.int_fract_pair.stream 0.000123 s: rat.num_nonneg_iff_zero_le 0.056419 s: fract_nonneg 0.000304 s: le_sub_right_of_add_le 0.007737 s: generalized_continued_fraction.int_fract_pair.stream._main.equations._eqn_2 0.001724 s: generalized_continued_fraction.int_fract_pair.stream.equations._eqn_2 0.000091 s: generalized_continued_fraction.int_fract_pair.cases_on 0.052594 s: generalized_continued_fraction.int_fract_pair.succ_nth_stream_eq_none_iff 0.000229 s: option.ne_none_iff_exists' 0.000095 s: generalized_continued_fraction.int_fract_pair.no_confusion_type 0.000396 s: generalized_continued_fraction.int_fract_pair.no_confusion 0.000137 s: generalized_continued_fraction.int_fract_pair.mk.inj 0.000384 s: generalized_continued_fraction.int_fract_pair.mk.inj_eq 0.010621 s: 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rat.add_right_cancel_semigroup 0.210979 s: rat.num_lt_succ_floor_mul_denom 0.167503 s: rat.fract_inv_num_lt_num_of_pos 0.018619 s: generalized_continued_fraction.int_fract_pair.of_inv_fr_num_lt_num_of_pos 0.014246 s: generalized_continued_fraction.int_fract_pair.stream_succ_nth_fr_num_lt_nth_fr_num_rat 0.049810 s: generalized_continued_fraction.int_fract_pair.stream_nth_fr_num_le_fr_num_sub_n_rat 0.119767 s: generalized_continued_fraction.int_fract_pair.exists_nth_stream_eq_none_of_rat 0.000311 s: convex_cone.has_mem 0.000123 s: convex_cone.pointed 0.000155 s: convex_cone.salient 0.013747 s: convex_cone.to_preorder._proof_1 0.002487 s: convex_cone.add_mem' 0.000686 s: convex_cone.add_mem 0.040659 s: convex_cone.to_preorder._proof_2 0.000282 s: convex_cone.to_preorder._proof_3 0.000897 s: convex_cone.to_preorder 0.000131 s: convex_cone.to_partial_order._proof_1 0.000233 s: convex_cone.to_partial_order._proof_2 0.006055 s: convex_cone.to_partial_order._proof_3 0.001641 s: 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measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top 0.000336 s: even.equations._eqn_1 0.009081 s: range_two_mul 0.000338 s: odd.equations._eqn_1 0.001276 s: range_two_mul_add_one 0.048392 s: nat.even_iff 0.008233 s: nat.mod_two_ne_zero 0.000260 s: nat.not_even_iff 0.000289 s: nat.odd_iff_not_even 0.020918 s: nat.is_compl_even_odd 0.002723 s: function.injective.has_sum_range_iff 0.000360 s: mul_right_injective' 0.019613 s: has_sum.even_add_odd 0.003987 s: tsum_even_add_odd 0.000777 s: is_metric_separated.symm 0.000076 s: is_metric_separated.comm 0.000568 s: is_metric_separated.empty_left 0.000247 s: ball_or_left_distrib 0.000494 s: set.ball_insert_iff 0.000757 s: is_metric_separated.mono 0.000106 s: is_metric_separated.mono_left 0.026719 s: is_metric_separated.union_left 0.000423 s: is_metric_separated.union_left_iff 0.006633 s: is_metric_separated.finite_Union_left_iff 0.000840 s: is_metric_separated.finite_Union_right_iff 0.000903 s: is_metric_separated.finset_Union_right_iff 0.000263 s: is_metric_separated.finset_Union_right 0.007419 s: measure_theory.outer_measure.is_metric.finset_Union_of_pairwise_separated 0.012755 s: ennreal.le_of_add_le_add_left 0.002884 s: ennreal.le_of_add_le_add_right 0.007792 s: emetric.le_inf_edist 0.001703 s: measure_theory.outer_measure.mono'' 0.161835 s: measure_theory.outer_measure.is_metric.borel_le_caratheodory 0.000408 s: measure_theory.outer_measure.is_metric.le_caratheodory 0.000342 s: tendsto_nhds_unique_of_eventually_eq 0.000388 s: ennreal.nhds_within_Ioi_coe_ne_bot 0.001822 s: ennreal.nhds_within_Ioi_zero_ne_bot 0.019659 s: set.indicator_union_add_inter_apply 0.001466 s: set.indicator_union_of_not_mem_inter 0.003836 s: set.indicator_union_of_disjoint 0.001575 s: has_sum.add_disjoint 0.001470 s: tsum_union_disjoint 0.000735 s: tsum_le_tsum_of_inj 0.040766 s: measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter 0.014497 s: measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter 0.030236 s: measure_theory.outer_measure.mk_metric'_is_metric 0.000244 s: measure_theory.measure.mk_metric'._proof_1 0.000146 s: measure_theory.measure.mk_metric' 0.000521 s: list.foldr._main.equations._eqn_1 0.000173 s: list.foldr.equations._eqn_1 0.007908 s: prod.add_torsor._proof_1 0.004723 s: prod.add_torsor._proof_2 0.000172 s: prod.add_torsor._proof_3 0.003251 s: prod.add_torsor._proof_4 0.002212 s: prod.add_torsor._proof_5 0.003103 s: prod.add_torsor 0.001391 s: prod.fst_vadd 0.000721 s: CommRing.colimits.prequotient.no_confusion_type 0.001793 s: CommRing.colimits.prequotient.no_confusion 0.000788 s: CommRing.colimits.prequotient.add.inj 0.000689 s: CommRing.colimits.prequotient.add.inj_eq 0.002943 s: category_theory.equivalence.symm_counit_iso 0.001786 s: real.mem_closure_iff 0.000268 s: prime_spectrum.zero_locus_singleton_one 0.000244 s: zsqrtd.nonsquare 0.032918 s: category_theory.limits.cocones.functoriality_equivalence._proof_1 0.114043 s: category_theory.limits.cocones.functoriality_equivalence._proof_2 0.051294 s: category_theory.limits.cocones.functoriality_equivalence._proof_3 0.116600 s: category_theory.limits.cocones.functoriality_equivalence._proof_4 0.430274 s: category_theory.limits.cocones.functoriality_equivalence._proof_5 0.045230 s: category_theory.limits.cocones.functoriality_equivalence 0.009306 s: category_theory.functor.map_cocone_inv 0.008890 s: category_theory.functor.map_cocone_map_cocone_inv 0.004161 s: category_theory.functor.map_cocone_map_cocone_inv.equations._eqn_1 0.000134 s: simplex_category.hom 0.000209 s: simplex_category.hom.mk 0.000147 s: simplex_category.hom.id 0.000163 s: simplex_category.hom.to_preorder_hom 0.000138 s: simplex_category.hom.comp 0.000211 s: simplex_category.hom.mk.equations._eqn_1 0.000402 s: simplex_category.hom.to_preorder_hom.equations._eqn_1 0.001012 s: simplex_category.hom.to_preorder_hom_mk 0.000794 s: preorder_hom.comp_id 0.000337 s: simplex_category.hom.mk_to_preorder_hom 0.001784 s: simplex_category.small_category._proof_1 0.000709 s: preorder_hom.id_comp 0.001647 s: simplex_category.small_category._proof_2 0.000217 s: simplex_category.small_category._proof_3 0.004644 s: simplex_category.small_category 0.000096 s: category_theory.simplicial_object 0.000061 s: sSet 0.000083 s: category_theory.simplicial_object.category 0.000103 s: sSet.large_category 0.000208 s: sSet.standard_simplex 0.001250 s: sSet.as_preorder_hom 0.002730 s: sSet.boundary._proof_1 0.008184 s: sSet.boundary._proof_2 0.004776 s: sSet.boundary._proof_3 0.009353 s: sSet.boundary 0.007721 s: sSet.boundary.equations._eqn_1 0.000139 s: is_lub_univ 0.003217 s: Sup_univ 0.046132 s: lie_submodule.lie_module.equations._eqn_1 0.010824 s: equiv.prod_shear._proof_1 0.002080 s: equiv.prod_shear._proof_2 0.000618 s: equiv.prod_shear 0.000774 s: equiv.prod_shear.equations._eqn_1 0.000376 s: has_variable_names.sizeof 0.000066 s: has_variable_names.has_sizeof_inst 0.000125 s: is_add_subgroup.add_normalizer 0.000524 s: is_add_subgroup.add_mem_cancel_right 0.000497 s: is_add_subgroup.add_mem_cancel_left 0.000755 s: is_add_subgroup.subset_add_normalizer 0.000150 s: bucket_array 0.001058 s: d_array.rev_iterate_aux._main 0.000112 s: d_array.rev_iterate_aux 0.000064 s: d_array.rev_iterate._proof_1 0.000287 s: d_array.rev_iterate 0.000111 s: array.rev_iterate 0.000087 s: array.rev_foldl 0.000079 s: array.to_list 0.000230 s: bucket_array.as_list 0.000294 s: hash_map.mk_idx._proof_1 0.000082 s: hash_map.mk_idx 0.001289 s: hash_map.valid 0.000086 s: ordinal.pred 0.000083 s: ordinal.pred.equations._eqn_1 0.001273 s: ordinal.lt_succ 0.000135 s: ordinal.succ_lt_succ 0.000472 s: ordinal.succ_le_succ 0.000550 s: ordinal.succ_inj 0.000592 s: ordinal.pred_succ 0.001716 s: ordinal.pred_le_self 0.000136 s: boolean_ring.comm_ring._proof_8 0.000547 s: open_add_subgroup.cases_on 0.000304 s: open_add_subgroup.no_confusion_type 0.000487 s: open_add_subgroup.no_confusion 0.000671 s: open_add_subgroup.mk.inj 0.000644 s: open_add_subgroup.mk.inj_arrow 0.000396 s: parser.foldr_core._main 0.000035 s: parser.foldr_core 0.000091 s: parser.foldr 0.000036 s: parser.many 0.000122 s: parser.sep_by1 0.000051 s: parser.sep_by 0.000088 s: parser.sep_by.equations._eqn_1 0.037217 s: polynomial.expand._proof_1 0.037031 s: polynomial.expand._proof_2 0.038880 s: polynomial.expand._proof_3 0.038115 s: polynomial.expand._proof_4 0.039412 s: polynomial.expand._proof_5 0.038803 s: polynomial.expand 0.010152 s: char_p.char_ne_one 0.000196 s: gt_of_ge_of_gt 0.000991 s: dvd.intro_left 0.000153 s: dvd_of_mul_left_eq 0.010344 s: char_p.char_is_prime_of_two_le 0.001508 s: char_p.char_is_prime_or_zero 0.011763 s: char_p.char_p_to_char_zero 0.003076 s: char_p.char_ne_zero_of_fintype 0.006067 s: char_p.char_is_prime 0.002020 s: ring_hom.to_semimodule._proof_1 0.003028 s: ring_hom.to_semimodule._proof_2 0.011368 s: ring_hom.to_semimodule._proof_3 0.000342 s: ring_hom.to_semimodule._proof_4 0.021625 s: ring_hom.to_semimodule._proof_5 0.003288 s: ring_hom.to_semimodule._proof_6 0.006989 s: ring_hom.to_semimodule 0.014661 s: zmod.cast_one 0.003194 s: fin.coe_mul 0.001345 s: nat.mod_le 0.000190 s: nat.dvd_sub_mod 0.011339 s: zmod.cast_mul 0.004914 s: zmod.cast_zero 0.000447 s: zmod.cast_hom._proof_1 0.001405 s: fin.coe_add 0.011180 s: zmod.cast_add 0.007149 s: zmod.cast_hom 0.025530 s: multiset.card_pi 0.009912 s: finset.card_pi 0.001733 s: fintype.card_pi_finset 0.000806 s: fintype.card_pi 0.011540 s: fintype.card_fun 0.007328 s: module.card_fintype 0.001403 s: vector_space.card_fintype 0.002413 s: fintype.card_le_one_iff 0.071854 s: finite_field.card 0.000349 s: ring_hom.monoid._proof_1 0.013761 s: ring_hom.monoid._proof_2 0.002314 s: ring_hom.monoid._proof_3 0.003312 s: ring_hom.monoid 0.000396 s: ring_hom.one_def 0.036513 s: polynomial.expand_C 0.029701 s: polynomial.expand_X 0.006342 s: polynomial.expand_one 0.000608 s: char_p.dcases_on 0.003285 s: polynomial.char_p._match_1 0.000175 s: polynomial.char_p 0.051815 s: polynomial.expand_monomial 0.148050 s: polynomial.expand_char 0.000430 s: ring_hom.mul_def 0.024500 s: polynomial.expand_expand 0.000868 s: polynomial.expand_mul 0.032339 s: polynomial.expand_eq_sum 0.011627 s: polynomial.coeff_expand 0.003994 s: polynomial.map_expand 0.074540 s: polynomial.map_expand_pow_char 0.000414 s: nat.pred_eq_sub_one 0.034563 s: finite_field.pow_card_sub_one_eq_one 0.012469 s: finite_field.pow_card 0.000691 s: ring_hom.coe_one 0.125436 s: finite_field.frobenius_pow 0.070294 s: finite_field.expand_card 0.102386 s: zmod.expand_card 0.020388 s: finset.bUnion_image 0.005839 s: multiset.lattice.equations._eqn_1 0.000261 s: polynomial.lifts 0.000451 s: polynomial.map_alg 0.000340 s: polynomial.lifts.equations._eqn_1 0.000670 s: ring_hom.coe_of 0.000618 s: polynomial.map_alg.equations._eqn_1 0.002063 s: polynomial.algebra_map_apply 0.004332 s: polynomial.map_alg_eq_map 0.002731 s: polynomial.mem_lifts_iff_mem_alg 0.000112 s: ulift.has_add 0.000352 s: ulift.add_down 0.001228 s: category_theory.monoidal.functor_category.tensor_obj._proof_1 0.001504 s: category_theory.monoidal.functor_category.tensor_obj._proof_2 0.000935 s: category_theory.monoidal.functor_category.tensor_obj 0.005991 s: category_theory.monoidal.functor_category.tensor_hom._proof_1 0.003005 s: category_theory.monoidal.functor_category.tensor_hom 0.002737 s: category_theory.monoidal.functor_category_monoidal._proof_1 0.003888 s: category_theory.monoidal.functor_category_monoidal._proof_2 0.009818 s: category_theory.monoidal.functor_category_monoidal._proof_3 0.045487 s: category_theory.monoidal.functor_category_monoidal._proof_4 0.013078 s: category_theory.monoidal.functor_category_monoidal._proof_5 0.020387 s: category_theory.monoidal.functor_category_monoidal._proof_6 0.007344 s: category_theory.monoidal.functor_category_monoidal._proof_7 0.020724 s: category_theory.monoidal.functor_category_monoidal._proof_8 0.090255 s: category_theory.monoidal.functor_category_monoidal._proof_9 0.052554 s: category_theory.monoidal.functor_category_monoidal._proof_10 0.026502 s: category_theory.monoidal.functor_category_monoidal 0.007579 s: category_theory.monoidal.right_unitor_hom_app 0.000626 s: quotient.map 0.000729 s: quotient.map.equations._eqn_1 0.008818 s: Mod 0.001308 s: Mod.X 0.001304 s: Mod.act 0.002490 s: Mod.hom 0.002078 s: Mod.hom.rec_on 0.001637 s: add_submonoid.topological_closure._proof_1 0.000464 s: set.image2_add 0.002441 s: add_submonoid.coe_add_self_eq 0.001464 s: add_submonoid.top_closure_add_self_subset 0.000963 s: add_submonoid.topological_closure._proof_2 0.000370 s: add_submonoid.topological_closure 0.000447 s: add_subgroup.topological_closure._proof_1 0.000171 s: monad_fail 0.000085 s: monad_fail.sizeof 0.000112 s: nat.coprime.decidable.equations._eqn_1 0.000425 s: turing.partrec_to_TM2.tr_pos_num._main 0.000020 s: turing.partrec_to_TM2.tr_pos_num 0.000090 s: turing.partrec_to_TM2.tr_num._sunfold 0.000577 s: _private.2020719713.align._main 0.000647 s: _private.2020719713.align._main.equations._eqn_1 0.014937 s: abelianization.lift.equations._eqn_1 0.000061 s: category_theory.uniform_prod 0.009229 s: category_theory.curry._proof_1 0.031879 s: category_theory.curry._proof_2 0.041648 s: category_theory.curry._proof_3 0.053410 s: category_theory.curry._proof_4 0.042822 s: category_theory.curry 0.008322 s: category_theory.limits.limit.cone_π 0.016176 s: category_theory.limits.has_limit_of_iso 0.017150 s: category_theory.currying._proof_1 0.078544 s: category_theory.currying._proof_2 0.291745 s: category_theory.currying._proof_3 0.003021 s: category_theory.uncurry.obj_obj 0.001852 s: category_theory.curry.obj_obj_obj 0.003975 s: category_theory.currying._proof_4 0.018411 s: category_theory.currying._proof_5 0.162494 s: category_theory.currying._proof_6 0.030161 s: category_theory.currying 0.011227 s: category_theory.limits.limit_iso_limit_curry_comp_lim._proof_1 0.000992 s: function.semiconj₂.is_associative_right 0.019444 s: category_theory.functor.map_cocone_precompose._proof_1 0.006492 s: category_theory.functor.map_cocone_precompose 0.001565 s: list.decidable_sublist._match_1 0.002276 s: category_theory.subobject.factor_thru_eq_zero 0.000240 s: continuous_map.add_equiv_bounded_of_compact._proof_1 0.000059 s: continuous_map.add_equiv_bounded_of_compact._proof_2 0.000141 s: bounded_continuous_function.forget_boundedness_add_hom._proof_1 0.000168 s: bounded_continuous_function.forget_boundedness_add_hom._proof_2 0.000749 s: bounded_continuous_function.forget_boundedness_coe 0.004114 s: bounded_continuous_function.forget_boundedness_add_hom._proof_3 0.006053 s: bounded_continuous_function.forget_boundedness_add_hom._proof_4 0.001693 s: bounded_continuous_function.forget_boundedness_add_hom 0.000369 s: continuous_map.add_equiv_bounded_of_compact._proof_3 0.000195 s: continuous_map.add_equiv_bounded_of_compact._proof_4 0.001444 s: continuous_map.add_equiv_bounded_of_compact._proof_5 0.003699 s: continuous_map.add_equiv_bounded_of_compact 0.002767 s: continuous_map.add_equiv_bounded_of_compact.equations._eqn_1 0.000239 s: simps_cfg 0.000117 s: simps_cfg.cases_on 0.000110 s: simps_cfg.no_confusion_type 0.000390 s: simps_cfg.no_confusion 0.000456 s: category_theory.cartesian_closed 0.000920 s: category_theory.limits.prod_comparison 0.000182 s: category_theory.limits.prod_comparison_nat_trans._proof_1 0.002985 s: category_theory.limits.prod.functor_obj_map 0.000825 s: category_theory.limits.prod_comparison.equations._eqn_1 0.003570 s: category_theory.limits.prod_comparison_natural 0.024497 s: category_theory.limits.prod_comparison_nat_trans._proof_2 0.005822 s: category_theory.limits.prod_comparison_nat_trans 0.002847 s: category_theory.frobenius_morphism 0.000221 s: category_theory.monoidal_closed.closed 0.032163 s: category_theory.transfer_nat_trans._proof_1 0.051457 s: category_theory.transfer_nat_trans._proof_2 0.179468 s: category_theory.transfer_nat_trans._proof_4 0.055249 s: category_theory.transfer_nat_trans 0.000269 s: category_theory.limits.prod_comparison_nat_iso._proof_1 0.000310 s: category_theory.limits.prod_comparison_nat_iso._proof_2 0.000138 s: category_theory.limits.prod_comparison_nat_iso._proof_3 0.000256 s: category_theory.limits.prod_comparison_nat_iso._proof_4 0.000143 s: category_theory.limits.prod_comparison_nat_iso._proof_5 0.000144 s: category_theory.limits.prod_comparison_nat_iso._proof_6 0.000100 s: category_theory.limits.prod_comparison_nat_iso._proof_7 0.000128 s: category_theory.limits.prod_comparison_nat_iso._proof_8 0.019554 s: category_theory.limits.prod_comparison_nat_iso._proof_9 0.012457 s: category_theory.limits.prod_comparison_nat_iso._proof_10 0.013850 s: category_theory.limits.prod_comparison_nat_iso._proof_11 0.010563 s: category_theory.limits.prod_comparison_nat_iso 0.003327 s: category_theory.limits.map_pair_iso._proof_1 0.000672 s: category_theory.limits.map_pair_iso 0.000757 s: category_theory.limits.diagram_iso_pair 0.030303 s: category_theory.limits.is_limit_map_cone_binary_fan_equiv._proof_1 0.011193 s: category_theory.limits.is_limit_map_cone_binary_fan_equiv 0.001997 s: category_theory.limits.map_is_limit_of_preserves_of_is_limit 0.008430 s: category_theory.limits.prod_is_prod._proof_1 0.001721 s: category_theory.limits.prod_is_prod 0.000920 s: category_theory.limits.is_limit_of_has_binary_product_of_preserves_limit 0.001204 s: category_theory.limits.preserves_pair.iso 0.001944 s: category_theory.limits.preserves_pair.iso_hom 0.000891 s: category_theory.limits.prod_comparison.category_theory.is_iso 0.000991 s: category_theory.exp_comparison._proof_1 0.002342 s: category_theory.exp_comparison 0.001063 s: category_theory.iso.hom_congr._proof_1 0.001150 s: category_theory.iso.hom_congr._proof_2 0.000827 s: category_theory.iso.hom_congr 0.001561 s: category_theory.transfer_nat_trans_self 0.067555 s: category_theory.adjunction.comp._proof_1 0.071271 s: category_theory.adjunction.comp._proof_2 0.060748 s: category_theory.adjunction.comp 0.007021 s: category_theory.coev 0.004273 s: category_theory.limits.prod.map_id_comp 0.000531 s: category_theory.limits.preserves_limits_of_shape.cases_on 0.001369 s: category_theory.limits.preserves_limit.cases_on 0.001303 s: category_theory.limits.preserves_limit_subsingleton 0.000727 s: category_theory.limits.preserves_limits_of_shape_subsingleton 0.006272 s: category_theory.limits.prod_comparison_nat_iso_inv 0.000447 s: category_theory.as_iso_inv 0.002559 s: category_theory.nat_iso.is_iso_inv_app 0.032875 s: category_theory.transfer_nat_trans_counit 0.043506 s: category_theory.exp_comparison_ev 0.010678 s: category_theory.limits.prod_comparison_inv_natural 0.002361 s: category_theory.limits.prod_comparison_inv_natural_assoc 0.006985 s: category_theory.ev_coev 0.001103 s: category_theory.limits.prod_comparison_fst 0.001364 s: category_theory.limits.inv_prod_comparison_map_fst 0.001518 s: category_theory.limits.prod_comparison_fst_assoc 0.000919 s: category_theory.limits.prod_comparison_snd 0.001256 s: category_theory.limits.inv_prod_comparison_map_snd 0.101057 s: category_theory.frobenius_morphism_mate 0.053445 s: category_theory.transfer_nat_trans_self_comp 0.018996 s: category_theory.transfer_nat_trans_self_id 0.003816 s: category_theory.transfer_nat_trans_self_comm 0.002422 s: category_theory.transfer_nat_trans_self_iso 0.005030 s: category_theory.exp_comparison_iso_of_frobenius_morphism_iso 0.000909 s: additive.ordered_add_comm_group._proof_7 0.001477 s: subalgebra.comap'._proof_5 0.000107 s: ulift.has_scalar 0.000682 s: ulift.is_scalar_tower 0.000852 s: ulift.is_scalar_tower.equations._eqn_1 0.000939 s: category_theory.triangulated.triangle_rotation 0.001727 s: category_theory.triangulated.triangle_rotation_counit_iso 0.000331 s: order.ideal.partial_order.equations._eqn_1 0.000103 s: tree.sizeof 0.000034 s: tree.has_sizeof_inst 0.000121 s: subtype.sizeof._main 0.000031 s: subtype.sizeof 0.000039 s: subtype.has_sizeof 0.000455 s: lazy_list.join._main 0.000020 s: lazy_list.join 0.001585 s: slim_check.rec_shrink._main 0.000148 s: slim_check.rec_shrink 0.000387 s: slim_check.rec_shrink_with._match_1 0.000307 s: slim_check.rec_shrink_with 0.000433 s: tree.node.sizeof_spec 0.000156 s: subtype.sizeof._main.equations._eqn_1 0.000084 s: subtype.sizeof.equations._eqn_1 0.121315 s: slim_check.tree.shrink_with._match_2 0.000173 s: tree.nil.sizeof_spec 0.130874 s: slim_check.tree.one_le_sizeof 0.130617 s: slim_check.tree.shrink_with._match_1 0.000198 s: slim_check.tree.shrink_with 0.000091 s: semigroup_pempty._proof_1 0.000067 s: semigroup_pempty 0.000062 s: semigroup_pempty.equations._eqn_1 0.000038 s: turing.dir.sizeof 0.000034 s: turing.dir.has_sizeof_inst 0.000110 s: turing.TM0.stmt.sizeof 0.000095 s: turing.TM0.stmt.has_sizeof_inst 0.000171 s: turing.TM0to1.Λ'.sizeof 0.000073 s: turing.TM0to1.Λ'.has_sizeof_inst 0.000324 s: pfunctor.map._match_1 0.000087 s: pfunctor.map 0.000122 s: pfunctor.obj.functor 0.012725 s: qpf 0.000362 s: qpf.P 0.000383 s: qpf.abs 0.006495 s: linear_map.ker_le_ker_comp 0.009351 s: module.End.ker_pow_constant 0.003456 s: set.image2_union_left 0.000685 s: set.union_add 0.000592 s: list.get_rest._main 0.000057 s: list.get_rest 0.000834 s: list.get_rest._main.equations._eqn_4 0.000122 s: list.get_rest.equations._eqn_4 0.000462 s: set.Iic.semilattice_sup_top._proof_2 0.001082 s: category_theory.preimage_id 0.000112 s: add_ne_add_right 0.001339 s: dlist.concat._aux_1 0.000208 s: dlist.concat._main 0.000026 s: dlist.concat 0.000747 s: wseq.inits._match_1 0.000338 s: wseq.inits._match_1.equations._eqn_1 0.000619 s: simple_graph.dart 0.000509 s: sym2.rel 0.000751 s: sym2.rel.dcases_on 0.000715 s: sym2.rel.symm 0.013969 s: sym2.rel.trans 0.002294 s: sym2.rel.is_equivalence 0.000052 s: sym2.rel.setoid 0.000026 s: sym2 0.000073 s: simple_graph.dart.fst 0.000048 s: simple_graph.dart.snd 0.000192 s: simple_graph.dart.edge 0.001445 s: sym2.from_rel._proof_1 0.000179 s: sym2.from_rel 0.000296 s: simple_graph.sym 0.000096 s: simple_graph.edge_set 0.000209 s: simple_graph.dart.is_adj 0.000404 s: simple_graph.dart.edge_mem 0.000306 s: galois_insertion.u_injective 0.000123 s: galois_connection.to_galois_insertion._proof_1 0.000352 s: galois_connection.to_galois_insertion 0.002032 s: submonoid.gi_map_comap._match_1 0.000421 s: submonoid.gi_map_comap._proof_1 0.000879 s: submonoid.gi_map_comap 0.000385 s: submonoid.comap_injective_of_surjective 0.000671 s: locally_compact_space 0.000182 s: locally_compact_space.local_compact_nhds 0.000619 s: exists_compact_subset 0.000365 s: pow_bit1 0.000543 s: 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s: category_theory.subterminals_equiv_mono_over_terminal._proof_7 0.006624 s: category_theory.subterminals_equiv_mono_over_terminal._proof_8 0.008702 s: category_theory.subterminals_equiv_mono_over_terminal._proof_9 0.000387 s: category_theory.is_subterminal.mono_is_terminal_from 0.003818 s: category_theory.limits.terminal_is_terminal._proof_1 0.003969 s: category_theory.limits.terminal_is_terminal._proof_2 0.001472 s: category_theory.limits.terminal_is_terminal 0.001939 s: category_theory.is_subterminal.mono_terminal_from 0.000218 s: category_theory.subterminals_equiv_mono_over_terminal._proof_1 0.000160 s: category_theory.subterminals_equiv_mono_over_terminal._proof_2 0.000166 s: category_theory.subterminals_equiv_mono_over_terminal._proof_3 0.006511 s: category_theory.subterminals_equiv_mono_over_terminal._proof_4 0.006204 s: category_theory.subterminals_equiv_mono_over_terminal._proof_5 0.009608 s: category_theory.subterminals_equiv_mono_over_terminal._proof_6 0.000389 s: category_theory.subterminals_thin 0.051247 s: category_theory.subterminals_equiv_mono_over_terminal._proof_10 0.057138 s: category_theory.subterminals_equiv_mono_over_terminal._proof_11 0.091117 s: category_theory.subterminals_equiv_mono_over_terminal._proof_12 0.082764 s: category_theory.subterminals_equiv_mono_over_terminal._proof_13 0.065635 s: category_theory.subterminals_equiv_mono_over_terminal._proof_14 0.082976 s: category_theory.subterminals_equiv_mono_over_terminal._proof_15 0.066909 s: category_theory.subterminals_equiv_mono_over_terminal._proof_16 0.082857 s: category_theory.subterminals_equiv_mono_over_terminal._proof_17 0.129947 s: category_theory.subterminals_equiv_mono_over_terminal._proof_18 0.137603 s: category_theory.subterminals_equiv_mono_over_terminal._proof_19 0.169238 s: category_theory.subterminals_equiv_mono_over_terminal._proof_20 0.242035 s: category_theory.subterminals_equiv_mono_over_terminal 0.063279 s: category_theory.subterminals_equiv_mono_over_terminal_counit_iso_inv_app 0.006291 s: pfunctor.approx.s_corec._main 0.000065 s: pfunctor.approx.s_corec 0.005172 s: pfunctor.approx.P_corec 0.000246 s: pfunctor.M.corec 0.000415 s: mvpfunctor.M.corec_shape 0.001033 s: mvpfunctor.M.path.below 0.001427 s: mvpfunctor.M.path.brec_on 0.002026 s: mvpfunctor.M.path.cases_on 0.000415 s: mvpfunctor.cast_dropB 0.003321 s: pfunctor.M.corec_def 0.000589 s: pfunctor.M.dest_corec 0.000333 s: mvpfunctor.M.corec_shape.equations._eqn_1 0.000189 s: mvpfunctor.cast_lastB 0.007992 s: mvpfunctor.M.corec_contents._main 0.000414 s: mvpfunctor.M.corec_contents 0.000175 s: mvpfunctor.M.corec'._proof_1 0.000856 s: mvpfunctor.M.corec' 0.000521 s: typevec.drop_fun 0.000250 s: typevec.last_fun 0.000982 s: mvpfunctor.M.corec 0.000603 s: mvqpf.repr 0.000237 s: mvqpf.corecF 0.000416 s: mvqpf.cofix.corec 0.000414 s: mvqpf.cofix.corec.equations._eqn_1 0.001685 s: affine_equiv.coe_to_equiv 0.001551 s: affine_equiv.map_vadd 0.008192 s: affine_equiv.trans._proof_1 0.000128 s: pmf 0.001166 s: has_sum_ite_eq 0.000171 s: pmf.pure._proof_1 0.002198 s: pmf.pure 0.000057 s: pmf.inhabited 0.003690 s: floor_nonneg 0.067318 s: ceil_pos 0.015356 s: _private.589629221.from_vector._main 0.000650 s: normed_group.core.rec_on 0.002589 s: set.maps_to.mem_iff 0.000773 s: set.maps_to.restrict 0.003963 s: set.maps_to_iff_exists_map_subtype 0.003107 s: set.surj_on.maps_to_compl 0.001911 s: set.surjective_maps_to_image_restrict 0.003394 s: set.surj_on_iff_exists_map_subtype 0.003089 s: equiv.set.compl._proof_1 0.001488 s: equiv.set.sum_compl.equations._eqn_1 0.000878 s: equiv.symm_trans_apply 0.000693 s: equiv.set.univ_symm_apply 0.000807 s: equiv.set.of_eq_symm_apply 0.002290 s: equiv.set.union_apply_left 0.004742 s: equiv.set.sum_compl_symm_apply_of_mem 0.002952 s: equiv.set.sum_compl_symm_apply 0.002690 s: equiv.set.sum_compl_apply_inl 0.004069 s: equiv.set.compl._proof_2 0.002476 s: equiv.set.union_apply_right 0.008489 s: equiv.set.sum_compl_symm_apply_of_not_mem 0.002012 s: equiv.set.sum_compl_apply_inr 0.039622 s: equiv.set.compl._proof_3 0.007896 s: equiv.set.sum_compl_symm_apply_compl 0.030010 s: equiv.set.compl._proof_4 0.016318 s: equiv.set.compl 0.004225 s: is_absolute_value.uniform_space_core._match_1 0.168300 s: is_absolute_value.uniform_space_core._proof_1 0.008849 s: is_absolute_value.uniform_space_core._match_2 0.001352 s: is_absolute_value.uniform_space_core._proof_2 0.375337 s: is_absolute_value.uniform_space_core._proof_3 0.172885 s: is_absolute_value.uniform_space_core 0.000142 s: is_absolute_value.uniform_space 0.014974 s: continuous_linear_map.to_semi_normed_space.equations._eqn_1 0.000019 s: turing.partrec_to_TM2.Γ'.cons.inj 0.000251 s: prod.semiring._proof_1 0.000132 s: prod.semiring._proof_2 0.000149 s: prod.semiring._proof_3 0.001179 s: prod.semiring._proof_4 0.000450 s: prod.semiring._proof_5 0.000259 s: prod.semiring._proof_6 0.000183 s: prod.monoid_with_zero._proof_1 0.000192 s: prod.monoid_with_zero._proof_2 0.000127 s: prod.monoid_with_zero._proof_3 0.000389 s: prod.monoid_with_zero._proof_4 0.000309 s: prod.monoid_with_zero._proof_5 0.001387 s: prod.mul_zero_class._proof_1 0.001966 s: prod.mul_zero_class._proof_2 0.000316 s: prod.mul_zero_class 0.000217 s: prod.mul_zero_one_class._proof_1 0.000167 s: prod.mul_zero_one_class._proof_2 0.000290 s: prod.mul_zero_one_class._proof_3 0.000110 s: prod.mul_zero_one_class._proof_4 0.001007 s: prod.mul_zero_one_class 0.000214 s: prod.monoid_with_zero._proof_6 0.000156 s: prod.monoid_with_zero._proof_7 0.002914 s: prod.monoid_with_zero 0.000171 s: prod.semiring._proof_7 0.000158 s: prod.semiring._proof_8 0.000118 s: prod.semiring._proof_9 0.000929 s: prod.semiring._proof_10 0.000352 s: prod.semiring._proof_11 0.000135 s: prod.semiring._proof_12 0.000152 s: prod.semiring._proof_13 0.001272 s: prod.distrib._proof_1 0.001144 s: prod.distrib._proof_2 0.000512 s: prod.distrib 0.000224 s: prod.semiring._proof_14 0.000203 s: prod.semiring._proof_15 0.007890 s: prod.semiring 0.000210 s: prod.ring._proof_9 0.000736 s: category_theory.limits.im._proof_2 0.000874 s: category_theory.creates_limits_of_shape 0.000568 s: category_theory.creates_limits 0.002681 s: category_theory.comma.snd._proof_1 0.003028 s: category_theory.comma.snd._proof_2 0.003307 s: category_theory.comma.snd 0.000477 s: category_theory.under.forget 0.001096 s: category_theory.limits.reflects_limits_of_shape 0.000447 s: category_theory.limits.reflects_limits_of_shape.reflects_limit 0.000175 s: category_theory.limits.reflects_limit_of_reflects_limits_of_shape 0.000661 s: category_theory.limits.reflects_limits 0.000254 s: category_theory.limits.reflects_limits.reflects_limits_of_shape 0.000183 s: category_theory.limits.reflects_limits_of_shape_of_reflects_limits 0.003374 s: category_theory.under.hom_mk 0.020115 s: category_theory.under.forget.category_theory.limits.reflects_limits._proof_1 0.007429 s: category_theory.under.under_morphism.ext 0.037533 s: category_theory.under.forget.category_theory.limits.reflects_limits._proof_2 0.041758 s: category_theory.under.forget.category_theory.limits.reflects_limits._proof_3 0.016349 s: category_theory.under.forget.category_theory.limits.reflects_limits 0.000470 s: category_theory.under.mk 0.012494 s: category_theory.functor.to_cone._proof_1 0.004309 s: category_theory.functor.to_cone 0.005570 s: category_theory.functor.to_cone_π_app 0.015214 s: category_theory.under.forget.category_theory.creates_limits._proof_1 0.034864 s: category_theory.under.forget.category_theory.creates_limits._proof_2 0.042449 s: category_theory.under.forget.category_theory.creates_limits._proof_3 0.023482 s: category_theory.under.forget.category_theory.creates_limits 0.017338 s: category_theory.under.forget.category_theory.creates_limits.equations._eqn_1 0.000400 s: wseq.compute._match_1 0.000062 s: wseq.compute 0.000071 s: wseq.compute.equations._eqn_1 0.005348 s: set.surj_on.maps_to_inv_fun_on 0.000232 s: set.bij_on.to_local_equiv._proof_1 0.000759 s: function.inv_fun_on_eq' 0.000304 s: set.inj_on.left_inv_on_inv_fun_on 0.000571 s: set.surj_on.right_inv_on_inv_fun_on 0.000408 s: set.bij_on.inv_on_inv_fun_on 0.000242 s: set.bij_on.to_local_equiv._proof_2 0.000176 s: set.bij_on.to_local_equiv._proof_3 0.000926 s: set.bij_on.to_local_equiv 0.000221 s: set.inj_on.to_local_equiv 0.000086 s: approximates_linear_on.to_local_equiv._proof_1 0.002785 s: set.inj_on_iff_injective 0.031520 s: antilipschitz_with.of_subsingleton 0.035870 s: nnreal.sub_pos 0.065712 s: antilipschitz_with.mul_le_dist 0.008349 s: abs_dist_sub_le_dist_add_add 0.077942 s: antilipschitz_with.add_lipschitz_with 0.011768 s: antilipschitz_with.restrict 0.009081 s: approximates_linear_on.lipschitz_sub 0.011630 s: approximates_linear_on.antilipschitz 0.007173 s: approximates_linear_on.injective 0.004829 s: approximates_linear_on.inj_on 0.005709 s: approximates_linear_on.to_local_equiv 0.004445 s: continuous_linear_map.nonlinear_right_inverse 0.001257 s: continuous_linear_map.nonlinear_right_inverse.nnnorm 0.000546 s: set.surj_on.mono 0.001533 s: continuous_linear_map.nonlinear_right_inverse.to_fun 0.000795 s: continuous_linear_map.nonlinear_right_inverse.has_coe_to_fun 0.000522 s: metric.mem_closed_ball' 0.001721 s: continuous_linear_map.nonlinear_right_inverse.right_inv' 0.001502 s: continuous_linear_map.nonlinear_right_inverse.right_inv 0.000490 s: dist_eq_norm' 0.001735 s: continuous_linear_map.nonlinear_right_inverse.bound' 0.001370 s: continuous_linear_map.nonlinear_right_inverse.bound 0.001257 s: lipschitz_with.restrict 0.008748 s: approximates_linear_on.lipschitz 0.003160 s: approximates_linear_on.continuous 0.001444 s: approximates_linear_on.continuous_on 0.005691 s: sign_cases_of_C_mul_pow_nonneg 0.105207 s: aux_has_sum_of_le_geometric 0.011176 s: cauchy_seq_of_le_geometric 0.677123 s: approximates_linear_on.surj_on_closed_ball_of_nonlinear_right_inverse 0.057446 s: approximates_linear_on.open_image 0.013160 s: continuous_linear_equiv.to_nonlinear_right_inverse._proof_1 0.002077 s: continuous_linear_equiv.to_nonlinear_right_inverse._proof_2 0.011432 s: continuous_linear_equiv.to_nonlinear_right_inverse 0.000103 s: equiv.subsingleton_iff 0.008096 s: approximates_linear_on.to_local_homeomorph._proof_1 0.001790 s: approximates_linear_on.to_local_homeomorph._proof_2 0.001161 s: subtype.edist_eq 0.005002 s: antilipschitz_with.to_right_inv_on' 0.012562 s: approximates_linear_on.inverse_continuous_on 0.009833 s: approximates_linear_on.to_local_homeomorph 0.000803 s: asymptotics.is_o.def 0.023460 s: has_strict_fderiv_at.approximates_deriv_on_nhds 0.012599 s: nnreal.inv_pos 0.013844 s: nnreal.div_pos 0.013199 s: nnreal.half_pos 0.012157 s: continuous_linear_equiv.one_le_norm_mul_norm_symm 0.085199 s: continuous_linear_equiv.norm_symm_pos 0.015868 s: continuous_linear_equiv.subsingleton_or_norm_symm_pos 0.008355 s: continuous_linear_equiv.subsingleton_or_nnnorm_symm_pos 0.006915 s: has_strict_fderiv_at.approximates_deriv_on_open_nhds 0.005389 s: has_strict_fderiv_at.to_local_homeomorph._proof_1 0.004488 s: has_strict_fderiv_at.to_local_homeomorph._proof_2 0.005445 s: has_strict_fderiv_at.to_local_homeomorph._proof_3 0.009917 s: has_strict_fderiv_at.to_local_homeomorph 0.003188 s: has_strict_fderiv_at.local_inverse 0.001578 s: filter.eventually_eq_of_left_inv_of_right_inv 0.005984 s: has_strict_fderiv_at.mem_to_local_homeomorph_source 0.003984 s: has_strict_fderiv_at.eventually_right_inverse 0.005815 s: has_strict_fderiv_at.local_inverse_unique 0.002176 s: computation.map._main 0.000069 s: computation.map 0.000112 s: wseq.head 0.000208 s: seq.corec.F._match_1 0.000181 s: seq.corec.F._main 0.000061 s: seq.corec.F 0.004387 s: seq.corec._proof_1 0.000270 s: seq.corec 0.000205 s: seq.omap._main 0.000089 s: seq.omap 0.000350 s: computation.monad 0.000327 s: wseq.flatten._match_1 0.000068 s: wseq.flatten 0.000074 s: seq.nil._proof_1 0.000151 s: seq.nil 0.000023 s: wseq.nil 0.000130 s: wseq.tail 0.000277 s: wseq.drop._main 0.000034 s: wseq.drop 0.000042 s: wseq.nth 0.000234 s: wseq.productive 0.000077 s: wseq.productive.nth_terminates 0.000045 s: wseq.nth_terminates 0.000384 s: wseq.head_terminates 0.001618 s: nonempty_inter 0.000356 s: is_clopen_empty 0.000112 s: is_clopen_univ 0.003739 s: is_clopen_iff 0.000937 s: eq_univ_of_nonempty_clopen 0.001120 s: int_bounded_random._proof_1 0.000227 s: int.le_add_of_nonneg_left 0.000255 s: int.neg_add_cancel_right 0.000233 s: int.sub_add_cancel 0.000111 s: int.add_le_of_le_sub_right 0.001392 s: int.neg_succ_of_nat_lt_zero 0.000984 s: int.of_nat_nat_abs_eq_of_nonneg 0.000276 s: int.sub_nonneg_of_le 0.004366 s: int_bounded_random._match_1 0.000705 s: int_bounded_random 0.021328 s: slim_check.int.sampleable._proof_3 0.000257 s: category_theory.functor.ess_image 0.000757 s: category_theory.ess_surj 0.012544 s: Module.has_forget_to_AddCommGroup._proof_1 0.020039 s: Module.has_forget_to_AddCommGroup._proof_2 0.109199 s: Module.has_forget_to_AddCommGroup._proof_3 0.051592 s: Module.has_forget_to_AddCommGroup 0.014281 s: Module.forget₂_AddCommGroup_ess_surj 0.005001 s: Module.forget₂_AddCommGroup_ess_surj.equations._eqn_1 0.079162 s: has_fderiv_at_filter_fst 0.089066 s: has_fderiv_at_filter.fst 0.065859 s: has_fderiv_within_at.fst 0.066091 s: fderiv_within.fst 0.001737 s: category_theory.grothendieck_topology.complete_lattice.equations._eqn_1 0.000319 s: is_field.mul_comm 0.006593 s: is_field.to_field._proof_1 0.016023 s: is_field.to_field._proof_2 0.018667 s: is_field.to_field._proof_3 0.019035 s: is_field.to_field 0.013142 s: is_field.to_field.equations._eqn_1 0.000599 s: shrinking_lemma.partial_refinement.carrier 0.000166 s: shrinking_lemma.partial_refinement.has_coe_to_fun 0.003371 s: shrinking_lemma.partial_refinement.partial_order._proof_2 0.006299 s: list.length_map_accumr₂ 0.000963 s: min_self 0.001063 s: vector.map_accumr₂._sunfold 0.000214 s: mul_dvd_mul_right 0.005841 s: nat.lcm_dvd 0.001299 s: nat.dvd_lcm_left 0.000069 s: nat.dvd_lcm_right 0.001409 s: nat.lcm_assoc 0.007942 s: linear_map.comp_assoc 0.000235 s: finprod 0.000168 s: set.mul_indicator 0.000265 s: finprod_congr 0.000224 s: finprod.equations._eqn_1 0.000257 s: function.nmem_mul_support 0.001938 s: finprod_eq_prod_plift_of_mul_support_to_finset_subset 0.001613 s: finprod_eq_prod_plift_of_mul_support_subset 0.002780 s: finprod_unique 0.001925 s: finprod_one 0.000543 s: finprod_of_empty 0.001067 s: finprod_eq_dif 0.000141 s: finprod_eq_if 0.000847 s: finprod_eq_mul_indicator_apply 0.000246 s: finprod_mem_def 0.000248 s: function.mul_support_comp_eq_preimage 0.000542 s: equiv.to_embedding_apply 0.000365 s: equiv.plift_symm_apply 0.002465 s: finprod_eq_prod_of_mul_support_subset 0.000294 s: function.mem_mul_support 0.000305 s: set.mul_indicator_apply_eq_one 0.001028 s: set.mul_support_mul_indicator 0.000432 s: set.mul_indicator_apply_eq_self 0.002018 s: finprod_cond_eq_prod_of_cond_iff 0.001173 s: finprod_mem_eq_prod_of_inter_mul_support_eq 0.000860 s: finprod_mem_eq_prod 0.000457 s: set.image_inter_mul_support_eq 0.000600 s: finprod_eq_prod_of_mul_support_to_finset_subset 0.000160 s: set.finite.of_preimage 0.001435 s: finprod_def 0.000606 s: finprod_of_infinite_mul_support 0.000787 s: finprod_mem_eq_one_of_infinite 0.003383 s: finprod_mem_image' 0.000186 s: finprod_true 0.000355 s: finprod_mem_univ 0.001372 s: finprod_mem_range' 0.000504 s: finprod_mem_range 0.001408 s: finprod_set_coe_eq_finprod_mem 0.000501 s: finprod_subtype_eq_finprod_cond 0.000283 s: hyperreal.is_st 0.000019 s: hyperreal.infinitesimal 0.000068 s: Exists.cases_on 0.080346 s: hyperreal.coe_sub 0.020279 s: hyperreal.coe_add 0.202397 s: _private.1951034983.is_st_unique' 0.000673 s: hyperreal.is_st_unique 0.001429 s: filter.germ.lift_rel_const_iff 0.023604 s: filter.germ.const_lt 0.018984 s: hyperreal.coe_lt_coe 0.115686 s: hyperreal.is_st_refl_real 0.000077 s: hyperreal.eq_of_is_st_real 0.247403 s: hyperreal.is_st_iff_abs_sub_lt_delta 0.004595 s: hyperreal.coe_zero 0.057229 s: hyperreal.coe_div 0.010051 s: hyperreal.coe_pos 0.008709 s: hyperreal.coe_bit0 0.005252 s: hyperreal.coe_one 0.000481 s: filter.germ.linear_ordered_add_comm_group._proof_1 0.000179 s: filter.germ.linear_ordered_add_comm_group._proof_2 0.000157 s: filter.germ.linear_ordered_add_comm_group._proof_3 0.000909 s: filter.germ.linear_ordered_add_comm_group._proof_4 0.000370 s: filter.germ.linear_ordered_add_comm_group._proof_5 0.000570 s: filter.germ.linear_ordered_add_comm_group._proof_6 0.001337 s: filter.germ.linear_ordered_add_comm_group._proof_7 0.000227 s: filter.germ.linear_ordered_add_comm_group._proof_8 0.000177 s: filter.germ.linear_ordered_add_comm_group._proof_9 0.000206 s: filter.germ.linear_ordered_add_comm_group._proof_10 0.000445 s: filter.germ.linear_ordered_add_comm_group._proof_11 0.000319 s: filter.germ.linear_ordered_add_comm_group._proof_12 0.000539 s: filter.germ.linear_ordered_add_comm_group._proof_13 0.001292 s: filter.germ.linear_ordered_add_comm_group._proof_14 0.021510 s: filter.germ.linear_ordered_add_comm_group 0.008208 s: filter.germ.max_def 0.001434 s: filter.germ.map₂_const 0.001262 s: filter.germ.const_max 0.032374 s: filter.germ.const_abs 1.414570 s: hyperreal.coe_abs 0.000777 s: hyperreal.coe_eq_coe 0.014861 s: hyperreal.coe_eq_zero 0.000178 s: hyperreal.infinite_pos 0.000055 s: hyperreal.infinite 0.006451 s: hyperreal.coe_neg 0.277188 s: hyperreal.not_infinite_iff_exist_lt_gt 0.028002 s: hyperreal.infinite_pos_iff_infinite_and_pos 0.000331 s: hyperreal.infinite_pos_iff_infinite_of_pos 0.005579 s: hyperreal.ne_zero_of_infinite 0.000151 s: hyperreal.not_infinite_zero 0.017526 s: hyperreal.infinite_pos_iff_infinite_of_nonneg 0.097387 s: hyperreal.infinite_pos_neg_of_infinite_neg 0.114172 s: hyperreal.infinite_neg_neg_of_infinite_pos 0.000181 s: hyperreal.infinite_neg_iff_infinite_pos_neg 0.142493 s: hyperreal.infinite_iff_infinite_pos_abs 0.038231 s: hyperreal.infinite_iff_infinite_abs 0.091007 s: hyperreal.not_infinite_of_exists_st 1.196956 s: _private.484747533.is_st_mul' 0.078378 s: hyperreal.is_st_mul 0.001666 s: filter.germ.const_le_iff 0.016180 s: hyperreal.coe_le_coe 0.203501 s: hyperreal.is_st_Sup 0.000179 s: hyperreal.exists_st_of_not_infinite 0.031761 s: hyperreal.infinitesimal_def 0.353527 s: hyperreal.infinite_pos_iff_infinitesimal_inv_pos 0.389830 s: hyperreal.is_st_neg 0.002054 s: hyperreal.infinitesimal_neg 0.000197 s: hyperreal.infinitesimal_neg_iff 0.611323 s: hyperreal.infinite_neg_iff_infinitesimal_inv_neg 0.000315 s: hyperreal.infinitesimal_inv_of_infinite 0.026727 s: hyperreal.infinite_of_infinitesimal_inv 0.000208 s: hyperreal.infinite_iff_infinitesimal_inv 0.046918 s: hyperreal.infinitesimal_iff_infinite_inv 0.006013 s: hyperreal.infinitesimal_zero 0.088028 s: hyperreal.is_st_inv 0.016690 s: category_theory.limits.is_colimit.comp_cocone_point_unique_up_to_iso_hom 0.006236 s: category_theory.limits.is_colimit.comp_cocone_point_unique_up_to_iso_hom_assoc 0.003746 s: category_theory.limits.is_colimit.cocone_point_unique_up_to_iso_hom_desc 0.001396 s: category_theory.limits.is_colimit.cocone_point_unique_up_to_iso_hom_desc_assoc 0.001825 s: multilinear_map.no_confusion_type 0.001723 s: multilinear_map.no_confusion 0.000160 s: mv_polynomial.total_degree 0.000281 s: finset.has_sep 0.000373 s: finset.sep_def 0.011791 s: finset.sum_nat_cast 0.002297 s: fintype.decidable_pi_fintype._proof_1 0.000280 s: fintype.decidable_pi_fintype 0.000752 s: finset.univ_inter 0.001504 s: fintype.sum_extend_by_zero 0.000860 s: finsupp.sum_fintype 0.018513 s: mv_polynomial.exists_degree_lt 0.003332 s: finset.univ_sigma_univ 0.002760 s: fintype.sum_fiberwise 0.000302 s: fintype.sum_eq_zero 0.001159 s: equiv.subtype_preimage._proof_1 0.003049 s: equiv.subtype_preimage._match_2 0.001245 s: equiv.subtype_preimage._proof_2 0.001237 s: equiv.subtype_preimage._proof_3 0.001378 s: equiv.subtype_preimage 0.000237 s: equiv.fun_unique._proof_1 0.000072 s: equiv.fun_unique._proof_2 0.000154 s: equiv.fun_unique 0.000269 s: equiv.subtype_equiv_codomain._match_1 0.000149 s: equiv.subtype_equiv_codomain._proof_1 0.000046 s: equiv.subtype_equiv_codomain._proof_2 0.000892 s: equiv.subtype_equiv_codomain 0.000174 s: fintype.sum_congr 0.001776 s: equiv.subtype_equiv_codomain_symm_apply_eq 0.000176 s: fintype.prod_congr 0.001559 s: equiv.subtype_equiv_codomain_symm_apply_ne 0.016036 s: finite_field.cast_card_eq_zero 0.002779 s: units.exists_iff_ne_zero 0.000049 s: monoid_hom.has_one._proof_1 0.000085 s: monoid_hom.has_one._proof_2 0.000319 s: monoid_hom.has_one 0.000620 s: monoid_hom.one_apply 0.001111 s: monoid_hom.to_hom_units._proof_1 0.000662 s: monoid_hom.to_hom_units._proof_2 0.002773 s: monoid_hom.to_hom_units._proof_3 0.003617 s: monoid_hom.to_hom_units._proof_4 0.002046 s: monoid_hom.to_hom_units 0.000088 s: powers 0.001492 s: image.is_submonoid 0.000933 s: univ.is_submonoid 0.000253 s: range.is_submonoid 0.000398 s: monoid_hom.is_monoid_hom 0.000854 s: is_cyclic.exists_monoid_generator 0.000236 s: is_group_hom.map_one 0.002094 s: is_group_hom.image_subgroup._match_1 0.000687 s: is_group_hom.image_subgroup._match_2 0.000619 s: is_group_hom.map_inv 0.000959 s: is_group_hom.image_subgroup._match_3 0.000791 s: is_group_hom.image_subgroup 0.000191 s: normal_subgroup.to_is_subgroup 0.001162 s: is_subgroup.univ_subgroup 0.000225 s: is_group_hom.range_subgroup 0.002979 s: is_cyclic_of_order_of_eq_card 0.015979 s: finset.card_bUnion 0.008392 s: sum_card_order_of_eq_card_pow_eq_one 0.001817 s: finset.filter_false 0.000140 s: not_imp_eq_of_eq_false_right 0.013605 s: card_pow_eq_one_eq_order_of_aux 0.000984 s: multiset.card_range 0.000336 s: finset.card_range 0.027957 s: nat.sum_totient 0.005432 s: nat.succ_ne_self 0.001236 s: nat.gcd_eq_left 0.000120 s: nat.gcd_eq_right 0.000103 s: nat.div_dvd_of_dvd 0.004096 s: nat.div_div_self 0.018984 s: _private.2216813531.card_order_of_eq_totient_aux₁ 0.008455 s: nat.totient_pos 0.026363 s: card_order_of_eq_totient_aux₂ 0.007268 s: is_cyclic_of_card_pow_eq_one_le 0.007674 s: card_nth_roots_subgroup_units 0.003051 s: is_cyclic_of_subgroup_integral_domain 0.001565 s: is_submonoid.coe_one 0.001169 s: is_submonoid.coe_mul 0.012041 s: subgroup_units_cyclic 0.004223 s: finset.prod_bUnion 0.014271 s: finset.prod_sigma 0.010399 s: finset.prod_comp 0.008234 s: finset.sum_comp 0.007144 s: card_fiber_eq_of_mem_range 0.001968 s: finset.sum_finset_coe 0.001916 s: finset.sum_subtype 0.000106 s: units.inhabited 0.001862 s: is_submonoid.coe_pow 0.001108 s: monoid_hom.coe_to_hom_units 0.064023 s: sum_hom_units_eq_zero 0.022229 s: sum_hom_units 0.006560 s: units.is_cyclic 0.000729 s: order_of_dvd_iff_pow_eq_one 0.055576 s: finite_field.forall_pow_eq_one_iff 0.078168 s: finite_field.sum_pow_units 0.046900 s: finite_field.sum_pow_lt_card_sub_one 0.090415 s: mv_polynomial.sum_mv_polynomial_eq_zero 0.020105 s: mv_polynomial.total_degree_C 0.019036 s: mv_polynomial.total_degree_one 0.006566 s: monoid_algebra.support_mul 0.001898 s: add_monoid_algebra.support_mul 0.022833 s: mv_polynomial.total_degree_mul 0.040889 s: mv_polynomial.total_degree_list_prod 0.012554 s: mv_polynomial.total_degree_multiset_prod 0.002096 s: mv_polynomial.total_degree_finset_prod 0.007071 s: mv_polynomial.total_degree_add 0.000228 s: mv_polynomial.total_degree.equations._eqn_1 0.061713 s: mv_polynomial.support_neg 0.006539 s: mv_polynomial.total_degree_neg 0.029843 s: mv_polynomial.total_degree_sub 0.039069 s: mv_polynomial.total_degree_pow 0.257260 s: char_dvd_card_solutions_family 0.000440 s: bool.decidable_eq._main.equations._eqn_3 0.000131 s: bool.decidable_eq.equations._eqn_3 0.000378 s: uniform_add_group.cases_on 0.000092 s: complex.normed_group.equations._eqn_1 0.000130 s: pnat.xgcd_type 0.000103 s: pnat.xgcd_type.sizeof 0.000017 s: pnat.xgcd_type.has_sizeof_inst 0.021730 s: lie_submodule.map._proof_1 0.005052 s: lie_submodule.map._proof_2 0.003946 s: lie_submodule.map._proof_3 0.006744 s: lie_submodule.map._proof_4 0.004713 s: lie_submodule.map 0.001992 s: lie_submodule.comap._proof_1 0.002625 s: lie_submodule.comap._proof_2 0.003515 s: lie_submodule.comap._proof_3 0.008005 s: lie_submodule.comap._proof_4 0.005744 s: lie_submodule.comap 0.008289 s: lie_submodule.map_le_iff_le_comap 0.002556 s: lie_submodule.gc_map_comap 0.003468 s: constant_of_has_deriv_right_zero 0.002158 s: eq_of_has_deriv_right_eq 0.000781 s: has_deriv_within_at.add_const 0.000434 s: measure_theory.integrable_on 0.000126 s: interval_integrable 0.001958 s: filter.tendsto_Ixx_class 0.000581 s: filter.is_measurably_generated 0.002497 s: interval_integral.FTC_filter 0.000510 s: measurable_at_filter 0.001507 s: measure_theory.set_integral_const 0.062169 s: interval_integral.integral_const' 0.000920 s: ennreal.to_real_of_real' 0.077009 s: interval_integral.integral_const 0.000460 s: measure_theory.measure.finite_at_filter 0.000622 s: measure_theory.locally_finite_measure 0.010436 s: interval_integral.integral_same 0.000359 s: filter.tendsto_Ixx_class.tendsto_Ixx 0.002292 s: filter.tendsto.Ioc 0.001878 s: measure_theory.integrable_at_filter 0.002057 s: measure_theory.measure.le_iff' 0.030153 s: measure_theory.measure.absolutely_continuous_of_le 0.000115 s: has_le.le.absolutely_continuous 0.000200 s: measure_theory.ae_mono 0.006648 s: ae_measurable.mono_measure 0.001960 s: measure_theory.has_finite_integral.mono_measure 0.000760 s: measure_theory.integrable.mono_measure 0.001151 s: measure_theory.measure.restrict_mono 0.000713 s: measure_theory.integrable_on.mono 0.000309 s: measure_theory.integrable_on.mono_set 0.000612 s: measure_theory.integrable_at_filter.eventually 0.000146 s: measure_theory.integrable_on.integrable 0.000699 s: measure_theory.integrable_at_filter.filter_mono 0.013121 s: measure_theory.integrable_at_filter.inf_ae_iff 0.000296 s: measure_theory.integrable_at_filter.of_inf_ae 0.000345 s: filter.is_measurably_generated.exists_measurable_subset 0.002949 s: filter.eventually.exists_measurable_mem_of_lift' 0.000356 s: ae_measurable.mono_set 0.000579 s: measurable_at_filter.eventually 0.000675 s: measure_theory.measure.finite_at_filter.eventually 0.000440 s: measure_theory.has_finite_integral_const 0.000367 s: measure_theory.has_finite_integral_of_bounded 0.000697 s: measure_theory.has_finite_integral_restrict_of_bounded 0.003123 s: measure_theory.measure.finite_at_filter.integrable_at_filter 0.002405 s: filter.inf_is_measurably_generated 0.001275 s: measure_theory.ae_is_measurably_generated._match_1 0.000549 s: measure_theory.ae_is_measurably_generated 0.000792 s: measurable_at_filter.filter_mono 0.000603 s: measure_theory.measure.finite_at_filter.filter_mono 0.007831 s: measure_theory.measure.finite_at_filter.inf_of_left 0.000503 s: filter.tendsto.is_bounded_under_le 0.012688 s: measure_theory.measure.finite_at_filter.integrable_at_filter_of_tendsto_ae 0.000241 s: filter.tendsto.integrable_at_filter_ae 0.003023 s: filter.tendsto.eventually_interval_integrable_ae 0.000509 s: interval_integral.FTC_filter.to_tendsto_Ixx_class 0.000278 s: interval_integral.FTC_filter.meas_gen 0.000326 s: interval_integral.FTC_filter.le_nhds 0.000110 s: measure_theory.locally_finite_measure.finite_at_nhds 0.000104 s: measure_theory.measure.finite_at_nhds 0.000414 s: interval_integral.FTC_filter.finite_at_inner 0.000391 s: filter.tendsto_const_pure 0.000465 s: interval_integral.FTC_filter.pure_le 0.001396 s: measure_theory.measure.restrict_union_apply 0.007622 s: measure_theory.measure.restrict_union 0.044273 s: ae_measurable.add_measure 0.085942 s: measure_theory.tendsto_integral_of_L1 0.019551 s: measure_theory.tendsto_integral_approx_on_univ_of_measurable 0.002725 s: measure_theory.outer_measure.sum._proof_1 0.000419 s: measure_theory.outer_measure.sum._proof_2 0.000585 s: equiv.summable_iff 0.000836 s: summable.prod_symm 0.002347 s: tsum_comm' 0.001828 s: ennreal.tsum_comm 0.001076 s: measure_theory.outer_measure.sum._proof_3 0.000288 s: measure_theory.outer_measure.sum 0.000344 s: measure_theory.outer_measure.sum_apply 0.017298 s: measurable_space.measurable_set_infi 0.009095 s: measure_theory.outer_measure.le_sum_caratheodory 0.013395 s: measure_theory.measure.sum._proof_1 0.000249 s: measure_theory.measure.sum 0.005830 s: measure_theory.measure.sum_apply 0.003403 s: measure_theory.measure.sum_bool 0.000236 s: measure_theory.measure.sum_cond 0.001863 s: finset.tsum_subtype 0.002110 s: measure_theory.simple_func.lintegral_sum 0.048679 s: measure_theory.lintegral_sum_measure 0.010475 s: measure_theory.lintegral_add_measure 0.001110 s: measure_theory.has_finite_integral.add_measure 0.000801 s: measure_theory.integrable.add_measure 0.001081 s: measure_theory.measure.add_apply 0.024038 s: measure_theory.measure.le_add_right 0.003587 s: measure_theory.integrable.left_of_add_measure 0.027883 s: measure_theory.measure.le_add_left 0.004331 s: measure_theory.integrable.right_of_add_measure 0.063224 s: measure_theory.simple_func.integral_add_measure 0.018063 s: _private.1267803115.integral_add_measure_of_measurable 0.002777 s: measure_theory.integral_add_measure 0.002078 s: measure_theory.integral_union 0.005054 s: set.Iic_disjoint_Ioi 0.006347 s: set.Iic_disjoint_Ioc 0.004059 s: set.Ioc_disjoint_Ioc_same 0.014252 s: disjoint_sup_left 0.019473 s: set.disjoint_union_left 0.000353 s: measure_theory.integrable_on.left_of_union 0.000262 s: measure_theory.integrable_on.right_of_union 0.011602 s: measure_theory.measure.restrict_union_le 0.001338 s: measure_theory.integrable_on.union 0.000603 s: measure_theory.integrable_on_union 0.003014 s: set.Ioc_subset_Ioc_union_Ioc 0.001339 s: interval_integrable.trans 0.003939 s: min_lt_iff 0.003951 s: set.Ioc_union_Ioc' 0.000602 s: le_min_iff 0.006423 s: set.Ioc_union_Ioc 0.000648 s: min_le_right_of_le 0.000445 s: min_le_left_of_le 0.006894 s: set.Ioc_union_Ioc_union_Ioc_cycle 0.000270 s: or.right_comm 0.000345 s: set.union_right_comm 0.000659 s: min_assoc 0.000253 s: min_left_comm 0.000488 s: max_assoc 0.000123 s: max_left_comm 0.006377 s: interval_integral.integral_add_adjacent_intervals_cancel 0.001612 s: interval_integral.integral_add_adjacent_intervals 0.000252 s: interval_integrable.symm 0.002582 s: interval_integral.integral_interval_add_interval_comm 0.002611 s: interval_integral.integral_interval_sub_interval_comm 0.001579 s: interval_integral.integral_interval_sub_interval_comm' 0.005299 s: asymptotics.is_o.trans_le 0.030723 s: asymptotics.is_o.add_add 0.000453 s: filter.eventually_iff_exists_mem 0.007586 s: filter.eventually_lift'_powerset_eventually 0.000295 s: metric.closed_ball_mem_nhds 0.001535 s: measure_theory.integrable_on_const 0.002207 s: measure_theory.ae_restrict_iff 0.001521 s: measure_theory.ae_imp_of_ae_restrict 0.000544 s: ae_measurable.ae_mem_imp_eq_mk 0.004958 s: measure_theory.norm_set_integral_le_of_norm_le_const_ae' 0.017334 s: filter.tendsto.integral_sub_linear_is_o_ae 0.162109 s: interval_integral.measure_integral_sub_linear_is_o_of_tendsto_ae' 0.154393 s: interval_integral.measure_integral_sub_linear_is_o_of_tendsto_ae 0.164994 s: interval_integral.measure_integral_sub_integral_sub_linear_is_o_of_tendsto_ae 0.016266 s: filter.lift'_bot 0.000555 s: set.powerset_empty 0.000167 s: set.Ioc_self 0.012574 s: filter.tendsto_Ioc_pure_bot 0.000516 s: filter.is_measurably_generated_bot 0.008912 s: interval_integral.FTC_filter.pure 0.001902 s: measurable_at_bot 0.153295 s: interval_integral.measure_integral_sub_integral_sub_linear_is_o_of_tendsto_ae_right 0.018303 s: set.Ico_diff_left 0.002445 s: measure_theory.lebesgue_outer_Ioo 0.002690 s: real.volume_Ioo 0.045851 s: real.locally_finite_volume 0.162059 s: interval_integral.integral_sub_integral_sub_linear_is_o_of_tendsto_ae_right 0.150227 s: interval_integral.integral_has_deriv_within_at_of_tendsto_ae_right 0.027376 s: interval_integral.integral_has_deriv_within_at_right 0.001043 s: measure_theory.integrable_on.equations._eqn_1 0.002514 s: integrable_zero_measure 0.001020 s: measure_theory.integrable_on_empty 0.001002 s: is_compact.integrable_on_of_nhds_within 0.002278 s: measure_theory.measure.finite_at_filter.integrable_at_filter_of_tendsto 0.000168 s: filter.tendsto.integrable_at_filter 0.004625 s: filter.infi_is_measurably_generated 0.000441 s: filter.is_measurably_generated.dcases_on 0.001342 s: filter.principal_is_measurably_generated_iff 0.000062 s: measurable_set.principal_is_measurably_generated 0.186104 s: nhds_is_measurably_generated 0.000280 s: measurable_set.nhds_within_is_measurably_generated 0.015111 s: piecewise_ae_eq_restrict 0.000461 s: indicator_ae_eq_restrict 0.002401 s: continuous_on.ae_measurable 0.000234 s: measure_theory.measure.finite_at_nhds_within 0.000906 s: continuous_on.integrable_at_nhds_within 0.000130 s: is_compact.measurable_set 0.000523 s: continuous_on.integrable_on_compact 0.000582 s: set.Icc_subset_interval 0.000251 s: set.Icc_subset_interval' 0.006269 s: continuous_on.interval_integrable 0.000086 s: tt_eq_ff_eq_false 0.000111 s: bool.nontrivial 0.299442 s: filter.lift'_inf 0.000620 s: set.powerset_inter 0.000293 s: filter.lift'_inf_powerset 0.003125 s: filter.tendsto_Ixx_class_inf 0.000489 s: tendsto_Ixx_nhds_within 0.002186 s: filter.tendsto_lift'_powerset_mono 0.000811 s: filter.tendsto_Ixx_class_of_subset 0.001819 s: filter.has_basis.lift' 0.010674 s: filter.has_basis.tendsto_Ixx_class 0.005328 s: filter.mem_infi_finite 0.001089 s: set.exists_finite_iff_finset 0.000857 s: finset.set_bInter_coe 0.002184 s: filter.has_basis_infi_principal_finite 0.001356 s: set.ord_connected_sInter 0.000334 s: set.ord_connected_Inter 0.000219 s: set.ord_connected_bInter 0.165522 s: tendsto_Icc_class_nhds 0.000371 s: tendsto_Ioc_class_nhds 0.000302 s: set.mem_powerset_iff 0.000425 s: set.forall_prod_set 0.017188 s: filter.tendsto_Ixx_class_principal 0.000990 s: filter.tendsto_Ioc_Ici_Ioi 0.000343 s: nhds_within_Ioi_is_measurably_generated 0.009646 s: interval_integral.FTC_filter.nhds_right 0.000189 s: measurable_set_Icc 0.003311 s: continuous_on.interval_integrable_of_Icc 0.078766 s: interval_integral.integral_eq_sub_of_has_deriv_right_of_le 0.020102 s: interval_integral.integral_eq_sub_of_has_deriv_right 0.015208 s: has_deriv_within_at.differentiable_within_at 0.003828 s: min_le_max 0.069081 s: interval_integral.integral_eq_sub_of_has_deriv_at' 0.000233 s: set.mem_Icc_of_Ioo 0.078219 s: interval_integral.integral_eq_sub_of_has_deriv_at 0.071651 s: interval_integral.integral_deriv_eq_sub 0.071483 s: interval_integral.integral_deriv_eq_sub' 0.012688 s: differentiable_within_at.neg 0.002894 s: differentiable_within_at_neg_iff 0.004836 s: fderiv_within_neg 0.002716 s: fderiv_neg 0.002412 s: deriv.neg 0.000408 s: deriv.neg' 0.059756 s: has_deriv_at.cos 0.068133 s: deriv_cos 0.010771 s: has_fderiv_at.neg 0.002850 s: differentiable_at.neg 0.002129 s: differentiable_at_neg_iff 0.215872 s: has_fderiv_at.cos 0.219632 s: differentiable_at.cos 0.000109 s: real.continuous_on_sin 0.196509 s: integral_sin 0.000098 s: set.pairwise_disjoint 0.000288 s: set.pairwise_on.mono 0.000284 s: set.pairwise_disjoint.subset 0.000205 s: category_theory.limits.coprod.associator._proof_1 0.000309 s: category_theory.limits.coprod.associator._proof_2 0.000213 s: category_theory.limits.coprod.associator._proof_3 0.000134 s: category_theory.limits.coprod.associator._proof_4 0.000064 s: category_theory.limits.coprod.associator._proof_5 0.000129 s: category_theory.limits.coprod.associator._proof_6 0.000060 s: category_theory.limits.coprod.associator._proof_7 0.000112 s: category_theory.limits.coprod.associator._proof_8 0.000235 s: category_theory.limits.coprod.associator._proof_9 0.000130 s: category_theory.limits.coprod.associator._proof_10 0.000103 s: category_theory.limits.coprod.associator._proof_12 0.000146 s: category_theory.limits.coprod.associator._proof_13 0.000062 s: category_theory.limits.coprod.associator._proof_14 0.000121 s: category_theory.limits.coprod.associator._proof_15 0.000057 s: category_theory.limits.coprod.associator._proof_16 0.000128 s: category_theory.limits.coprod.associator._proof_17 0.000060 s: category_theory.limits.coprod.associator._proof_18 0.000058 s: category_theory.limits.coprod.associator._proof_19 0.000107 s: category_theory.limits.coprod.associator._proof_20 0.022767 s: category_theory.limits.coprod.associator._proof_21 0.003681 s: category_theory.limits.coprod.associator._proof_22 0.002799 s: category_theory.limits.coprod.associator 0.000156 s: category_theory.limits.coprod.right_unitor._proof_1 0.000079 s: category_theory.limits.coprod.right_unitor._proof_2 0.000108 s: category_theory.limits.coprod.right_unitor._proof_3 0.000110 s: category_theory.limits.coprod.right_unitor._proof_4 0.001850 s: category_theory.limits.coprod.right_unitor._proof_5 0.000869 s: category_theory.limits.coprod.right_unitor._proof_6 0.000810 s: category_theory.limits.coprod.right_unitor 0.011296 s: category_theory.limits.coprod.triangle 0.000234 s: except_t 0.000073 s: except_t.run 0.000266 s: except_t.bind_cont._main 0.000063 s: except_t.bind_cont 0.000438 s: except_t.bind_cont._main.equations._eqn_2 0.000167 s: except_t.bind_cont.equations._eqn_2 0.006633 s: category_theory.braided_category 0.001432 s: category_theory.braided_category.braiding 0.003612 s: category_theory.lax_braided_functor 0.004215 s: category_theory.monoidal_nat_trans 0.001379 s: category_theory.nat_trans.naturality' 0.001239 s: category_theory.monoidal_nat_trans.id._proof_1 0.002631 s: category_theory.monoidal_nat_trans.id._proof_2 0.002705 s: category_theory.monoidal_nat_trans.id._proof_3 0.001632 s: category_theory.monoidal_nat_trans.id 0.001356 s: category_theory.monoidal_nat_trans.to_nat_trans 0.001131 s: category_theory.monoidal_nat_trans.vcomp._proof_1 0.001593 s: category_theory.monoidal_nat_trans.unit 0.001393 s: category_theory.monoidal_nat_trans.unit_assoc 0.003137 s: category_theory.monoidal_nat_trans.vcomp._proof_2 0.002298 s: category_theory.monoidal_nat_trans.tensor 0.001798 s: category_theory.monoidal_nat_trans.tensor_assoc 0.004353 s: category_theory.monoidal_nat_trans.vcomp._proof_3 0.003384 s: category_theory.monoidal_nat_trans.vcomp 0.003398 s: category_theory.monoidal_nat_trans.cases_on 0.003860 s: category_theory.monoidal_nat_trans.ext 0.005198 s: category_theory.monoidal_nat_trans.category_lax_monoidal_functor._proof_1 0.005389 s: category_theory.monoidal_nat_trans.category_lax_monoidal_functor._proof_2 0.008247 s: category_theory.monoidal_nat_trans.category_lax_monoidal_functor._proof_3 0.002289 s: category_theory.monoidal_nat_trans.category_lax_monoidal_functor 0.003003 s: category_theory.lax_braided_functor.to_lax_monoidal_functor 0.000558 s: category_theory.lax_braided_functor.category_lax_braided_functor 0.000903 s: category_theory.lax_braided_functor.mk_iso._proof_1 0.000708 s: category_theory.lax_braided_functor.mk_iso._proof_2 0.002595 s: category_theory.lax_braided_functor.mk_iso 0.001773 s: category_theory.lax_braided_functor.mk_iso_hom 0.000411 s: nat.Inf_le 0.001624 s: is_lawful_applicative.cases_on 0.000235 s: hahn_series.summable_family.has_coe_to_fun 0.001025 s: hahn_series.summable_family.is_wf_Union_support' 0.000502 s: hahn_series.summable_family.is_wf_Union_support 0.002596 s: hahn_series.support_add_subset 0.001793 s: hahn_series.summable_family.has_add._proof_1 0.000515 s: hahn_series.summable_family.mem_co_support 0.003741 s: hahn_series.summable_family.has_add._proof_2 0.001257 s: hahn_series.summable_family.has_add 0.000839 s: hahn_series.summable_family.add_apply 0.000076 s: ordinal.has_well_founded 0.003076 s: with_bot.has_le.le.is_total._match_1 0.000164 s: with_bot.has_le.le.is_total 0.000302 s: with_bot.has_le.le.is_total.equations._eqn_1 0.000164 s: real.exp_lt_one_iff 0.043081 s: mul_neg_iff 0.016107 s: real.rpow_lt_one_iff_of_pos 0.006120 s: real.rpow_lt_one_iff 0.000072 s: nat.modeq.symm 0.000036 s: nat.modeq.mod_modeq 0.019650 s: nat.add_mod_add_ite 0.016883 s: nat.add_div 0.004213 s: finset.sum_boole 0.017944 s: nat.prime.multiplicity_choose_aux 0.001597 s: category_theory.unop_id 0.006633 s: category_theory.functor.left_op._proof_1 0.000980 s: category_theory.unop_comp 0.003338 s: category_theory.functor.left_op._proof_2 0.001573 s: category_theory.functor.left_op 0.006084 s: category_theory.nat_trans.remove_left_op._proof_1 0.002097 s: category_theory.nat_trans.remove_left_op 0.003964 s: category_theory.functor.const.op_obj_unop._proof_1 0.004691 s: category_theory.functor.const.op_obj_unop._proof_2 0.022490 s: category_theory.functor.const.op_obj_unop._proof_3 0.021871 s: category_theory.functor.const.op_obj_unop._proof_4 0.011927 s: category_theory.functor.const.op_obj_unop 0.001519 s: category_theory.limits.cone_of_cocone_left_op 0.007853 s: category_theory.limits.cone_of_cocone_left_op_π_app 0.001042 s: open_add_subgroup.rec_on 0.000075 s: category_theory.monoid_discrete 0.000573 s: category_theory.discrete.eq_of_hom 0.000355 s: category_theory.discrete.monoidal_category._proof_1 0.000395 s: category_theory.discrete.monoidal_category._proof_2 0.002027 s: category_theory.discrete.monoidal_category._proof_3 0.000094 s: category_theory.discrete.monoidal_category._proof_4 0.002306 s: category_theory.discrete.monoidal_category._proof_5 0.000088 s: category_theory.discrete.monoidal_category._proof_6 0.001348 s: category_theory.discrete.monoidal_category._proof_7 0.000088 s: category_theory.discrete.monoidal_category._proof_8 0.001594 s: category_theory.discrete.monoidal_category._proof_9 0.002100 s: category_theory.discrete.monoidal_category._proof_10 0.002139 s: category_theory.discrete.monoidal_category._proof_11 0.004921 s: category_theory.discrete.monoidal_category 0.000093 s: punit.comm_group._proof_1 0.000068 s: punit.comm_group._proof_2 0.000053 s: punit.comm_group._proof_3 0.000189 s: punit.comm_group._proof_4 0.000240 s: punit.comm_group._proof_5 0.001158 s: punit.comm_group._proof_6 0.002553 s: punit.comm_group._proof_7 0.000237 s: punit.comm_group._proof_8 0.001227 s: punit.comm_group 0.000170 s: punit.comm_ring._proof_1 0.000084 s: punit.comm_ring._proof_2 0.001989 s: punit.comm_ring 0.002904 s: Mon_.mul_one 0.001660 s: Mon_.mul_one_hom 0.004775 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_6 0.003142 s: set.finite.exists_maximal_wrt 0.001509 s: cfilter 0.000233 s: cfilter.f 0.000092 s: cfilter.has_coe_to_fun 0.000179 s: cfilter.inf 0.000499 s: cfilter.inf_le_left 0.000257 s: cfilter.inf_le_right 0.003118 s: cfilter.to_filter._match_2 0.000615 s: ring_hom.quotient_ker_equiv_of_surjective._proof_1 0.000555 s: subsemiring.comap._proof_1 0.000576 s: subsemiring.comap._proof_2 0.000535 s: subsemiring.comap._proof_3 0.000576 s: subsemiring.comap._proof_4 0.003781 s: subsemiring.comap 0.000922 s: subalgebra.comap'._proof_2 0.040211 s: exterior_algebra.algebra_map_inv._proof_1 0.023300 s: exterior_algebra.algebra_map_inv 0.008527 s: add_group.exists_list_of_mem_closure 0.000019 s: nat.lxor 0.000124 s: int.lxor._main 0.000009 s: int.lxor 0.000209 s: slim_check.slim_check_cfg 0.000256 s: slim_check.testable 0.000073 s: slim_check.testable.run 0.000245 s: slim_check.combine_testable._proof_1 0.000333 s: quotient.eq_rel 0.000552 s: setoid.ker_mk_eq 0.002345 s: setoid.correspondence._match_1 0.001398 s: setoid.correspondence._match_1.equations._eqn_1 0.000247 s: order.ideal.principal._proof_1 0.000538 s: order.ideal.principal._proof_2 0.000216 s: order.ideal.principal._proof_3 0.000370 s: order.ideal.principal 0.000067 s: order.ideal.inhabited 0.000199 s: order.ideal.inhabited.equations._eqn_1 0.000613 s: subgroup.subtype._proof_1 0.001194 s: subgroup.subtype._proof_2 0.004283 s: subgroup.subtype 0.000538 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_2 0.000206 s: quotient_group.mk'._proof_1 0.011943 s: quotient_group.mk' 0.000550 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_3 0.001926 s: subgroup.inclusion._proof_1 0.005147 s: subgroup.inclusion._match_1 0.002042 s: subgroup.inclusion._match_2 0.000891 s: subgroup.inclusion._proof_2 0.001113 s: subgroup.inclusion 0.000171 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_4 0.039707 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_7 0.000112 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_5 0.000118 s: AddGroup.of 0.000588 s: add_monoid_hom.to_add_equiv._proof_1 0.000474 s: add_monoid_hom.to_add_equiv._proof_2 0.006517 s: add_monoid_hom.to_add_equiv 0.003472 s: category_theory.iso.AddGroup_iso_to_add_equiv 0.001286 s: AddGroup.ext 0.005348 s: add_equiv.to_AddGroup_iso._proof_1 0.004338 s: add_equiv.to_AddGroup_iso._proof_2 0.000973 s: add_equiv.to_AddGroup_iso 0.004665 s: add_equiv_iso_AddGroup_iso._proof_2 0.255152 s: linear_map.dual_map 0.026200 s: linear_equiv.dual_map._proof_1 0.018493 s: linear_equiv.dual_map._proof_2 0.011605 s: linear_map.lcomp_apply 0.253647 s: linear_map.dual_map_apply 0.031158 s: linear_equiv.dual_map._proof_3 0.031596 s: linear_equiv.dual_map._proof_4 0.021981 s: linear_equiv.dual_map 0.469684 s: linear_equiv.dual_map_trans 0.008015 s: ctop 0.000486 s: ctop.f 0.000138 s: ctop.to_topsp 0.000440 s: ctop.realizer 0.000143 s: ctop.realizer.σ 0.000051 s: ctop.has_coe_to_fun 0.000313 s: ctop.realizer.F 0.003260 s: locally_finite.realizer 0.002199 s: locally_finite.realizer.sizeof 0.002818 s: locally_finite.realizer.mk.sizeof_spec 0.000111 s: equiv.cast._proof_1 0.000843 s: equiv.cast._proof_2 0.000476 s: equiv.cast._proof_3 0.000285 s: equiv.cast 0.000710 s: encodable.length_sorted_univ 0.000144 s: encodable.fintype_equiv_fin._proof_1 0.000236 s: encodable.fintype_equiv_fin 0.004993 s: circle_deg1_lift.translate._proof_1 0.000150 s: circle_deg1_lift.translate._proof_2 0.000151 s: circle_deg1_lift.ext 0.011835 s: circle_deg1_lift.translate._proof_3 0.010820 s: circle_deg1_lift.translate._proof_4 0.014177 s: circle_deg1_lift.translate 0.000310 s: circle_deg1_lift.translation_number_eq_of_dist_bounded 0.003416 s: sub_sub_assoc_swap 0.058401 s: circle_deg1_lift.dist_map_zero_lt_of_semiconj 0.000229 s: circle_deg1_lift.ext_iff 0.000737 s: circle_deg1_lift.semiconj_by_iff_semiconj 0.000320 s: circle_deg1_lift.dist_map_zero_lt_of_semiconj_by 0.000651 s: circle_deg1_lift.translation_number_eq_of_semiconj_by 0.008533 s: units.mk_semiconj_by 0.000249 s: circle_deg1_lift.translation_number_conj_eq 0.001579 s: circle_deg1_lift.translation_number_conj_eq' 0.000111 s: circle_deg1_lift.units_has_coe_to_fun 0.000126 s: divp 0.003483 s: divp_mul_cancel 0.002349 s: divp_eq_iff_mul_eq 0.001275 s: units.conj_pow 0.001206 s: units.conj_pow' 0.000386 s: circle_deg1_lift.units_coe 0.001059 s: circle_deg1_lift.translate_apply 0.002777 s: circle_deg1_lift.translate_inv_apply 0.038635 s: circle_deg1_lift.transnum_aux_seq_zero 0.007228 s: tsum_geometric_two' 0.000733 s: sum_le_tsum 0.020638 s: dist_le_tsum_of_dist_le_of_tendsto 0.007984 s: dist_le_tsum_of_dist_le_of_tendsto₀ 0.000163 s: summable_geometric_two' 0.000676 s: dist_le_of_le_geometric_two_of_tendsto₀ 0.063476 s: circle_deg1_lift.dist_map_zero_translation_number_le 0.000381 s: circle_deg1_lift.dist_pow_map_zero_mul_translation_number_le 0.000200 s: filter.tendsto_add_at_top_nat 0.904242 s: circle_deg1_lift.tendsto_translation_number₀' 0.005617 s: circle_deg1_lift.tendsto_translation_number₀ 0.009826 s: circle_deg1_lift.tendsto_translation_number 0.002461 s: circle_deg1_lift.tendsto_translation_number' 0.000683 s: comp_assoc_right 0.000225 s: comp_mul_right 0.004019 s: mul_right_iterate 0.001950 s: add_right_iterate 0.002231 s: monotone.seq_le_seq 0.000691 s: monotone.iterate 0.001464 s: function.commute.iterate_le_of_map_le 0.012864 s: circle_deg1_lift.iterate_le_of_map_le_add_int 0.359677 s: circle_deg1_lift.translation_number_le_of_le_add_int 0.000308 s: monoid_with_zero.to_mul_action_with_zero._proof_1 0.000185 s: monoid_with_zero.to_mul_action_with_zero._proof_2 0.000202 s: monoid_with_zero.to_mul_action_with_zero._proof_3 0.000114 s: monoid_with_zero.to_mul_action_with_zero._proof_4 0.001696 s: monoid_with_zero.to_mul_action_with_zero 0.030854 s: has_strict_fderiv_at.local_inverse_def 0.002905 s: smooth_on 0.006397 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_mono 0.003476 s: times_cont_diff_within_at_local_invariant_prop_mono 0.001930 s: times_cont_mdiff_within_at.mono 0.002281 s: times_cont_mdiff_at.times_cont_mdiff_within_at 0.001882 s: times_cont_mdiff.times_cont_mdiff_on 0.001297 s: smooth.smooth_on 0.007845 s: category_theory.comonad 0.001568 s: category_theory.comonad.to_functor 0.002090 s: category_theory.comonad.ε' 0.001278 s: bundle_trivialization.open_base_set 0.000756 s: pgame.of._proof_1 0.000058 s: pgame.of 0.000977 s: pgame.right_moves_of_aux 0.000135 s: pgame.right_moves_of 0.000345 s: pgame.relabelling_move_right._proof_3 0.000094 s: turing.tape.mk' 0.000105 s: turing.tape.mk'.equations._eqn_1 0.000805 s: turing.list_blank.head_cons 0.000284 s: turing.list_blank.tail_cons 0.000260 s: turing.tape.write.equations._eqn_1 0.000115 s: turing.tape.no_confusion_type 0.000249 s: turing.tape.no_confusion 0.000255 s: turing.tape.mk.inj 0.001035 s: turing.tape.mk.inj_eq 0.001825 s: turing.tape.write_mk' 0.000358 s: monad_state_adapter 0.000700 s: turing.TM1.stmt.cases_on 0.000487 s: turing.TM1.stmt.no_confusion_type 0.001524 s: turing.TM1.stmt.no_confusion 0.000323 s: turing.TM1.stmt.goto.inj 0.000113 s: nat.decreasing_induction 0.002949 s: monoid_algebra.lift_nc_one 0.000614 s: monoid_algebra.lift_nc_ring_hom._proof_1 0.001164 s: monoid_algebra.lift_nc_ring_hom._proof_2 0.000644 s: monoid_algebra.lift_nc_ring_hom._proof_3 0.000611 s: monoid_algebra.lift_nc_ring_hom._proof_4 0.011988 s: monoid_algebra.lift_nc_ring_hom 0.004755 s: monoid_algebra.lift_nc_alg_hom._proof_2 0.002041 s: typevec.pred_last._main 0.000080 s: typevec.pred_last 0.000755 s: typevec.pred_last._main.equations._eqn_1 0.000699 s: typevec.pred_last.equations._eqn_1 0.001758 s: bilin_form.to_lin'._proof_2 0.000095 s: ulift.map._main 0.000036 s: ulift.map 0.000258 s: ulift.map._main.equations._eqn_1 0.000151 s: ulift.map.equations._eqn_1 0.000421 s: list.rotate'._main 0.000020 s: list.rotate' 0.002213 s: list.rotate'._main.equations._eqn_4 0.000120 s: list.rotate'.equations._eqn_4 0.003627 s: list.length_rotate' 0.001650 s: Group.ext 0.005308 s: mul_equiv.to_Group_iso._proof_1 0.004733 s: mul_equiv.to_Group_iso._proof_2 0.000839 s: mul_equiv.to_Group_iso 0.000328 s: monoid_hom.to_mul_equiv._proof_1 0.000426 s: monoid_hom.to_mul_equiv._proof_2 0.002121 s: monoid_hom.to_mul_equiv 0.002414 s: category_theory.iso.Group_iso_to_mul_equiv 0.002687 s: mul_equiv_iso_Group_iso._proof_1 0.000039 s: free_add_magma.has_add 0.000088 s: free_add_magma.below 0.000504 s: free_add_magma.brec_on 0.000113 s: free_add_magma.cases_on 0.000364 s: free_add_magma.lift_aux._main 0.000098 s: free_add_magma.lift_aux 0.000106 s: free_add_magma.lift._proof_1 0.000412 s: add_hom.coe_mk 0.000394 s: free_add_magma.lift_aux._main.equations._eqn_1 0.000081 s: free_add_magma.lift_aux.equations._eqn_1 0.002966 s: free_add_magma.lift._proof_2 0.000141 s: free_add_magma.rec_on 0.001603 s: free_add_magma.lift_aux_unique 0.004139 s: free_add_magma.lift._proof_3 0.002001 s: free_add_magma.lift 0.001261 s: free_add_magma.monad 0.000164 s: free_add_magma.rec_on' 0.000563 s: free_add_magma.rec_on'' 0.001882 s: free_add_magma.map_add' 0.001522 s: free_add_magma.add_bind 0.117168 s: free_add_magma.is_lawful_monad 0.126245 s: free_add_magma.is_lawful_monad.equations._eqn_1 0.000095 s: category_theory.limits.has_equalizers 0.013830 s: category_theory.limits.image_map 0.002928 s: category_theory.limits.has_image_map 0.002247 s: category_theory.limits.has_image_maps 0.000021 s: category_theory.graded_object 0.000043 s: category_theory.graded_object_with_shift 0.000071 s: category_theory.graded_object.category_of_graded_objects 0.003279 s: category_theory.graded_object.has_zero_morphisms._proof_1 0.003458 s: category_theory.graded_object.has_zero_morphisms._proof_2 0.001252 s: category_theory.graded_object.has_zero_morphisms 0.001546 s: category_theory.pi.comap._proof_1 0.001807 s: category_theory.pi.comap._proof_2 0.002327 s: category_theory.pi.comap 0.000975 s: category_theory.graded_object.comap_eq._proof_1 0.007804 s: category_theory.graded_object.comap_eq._proof_2 0.001583 s: category_theory.graded_object.comap_eq._proof_3 0.010966 s: category_theory.graded_object.comap_eq._proof_4 0.046542 s: category_theory.graded_object.comap_eq._proof_5 0.058493 s: category_theory.graded_object.comap_eq._proof_6 0.016558 s: category_theory.graded_object.comap_eq 0.000991 s: category_theory.graded_object.comap_equiv._proof_1 0.021632 s: category_theory.pi.comap_comp._proof_1 0.023639 s: category_theory.pi.comap_comp._proof_2 0.128776 s: category_theory.pi.comap_comp._proof_3 0.126857 s: category_theory.pi.comap_comp._proof_4 0.028333 s: category_theory.pi.comap_comp 0.001008 s: category_theory.graded_object.comap_equiv._proof_2 0.032233 s: category_theory.graded_object.comap_equiv._proof_3 0.015342 s: category_theory.graded_object.comap_equiv 0.001471 s: category_theory.graded_object.has_shift._proof_1 0.000336 s: category_theory.graded_object.has_shift._proof_2 0.000451 s: category_theory.graded_object.has_shift 0.000215 s: homological_complex 0.001576 s: homological_complex.image_to_kernel_map._proof_1 0.000925 s: homological_complex.homology_group._proof_1 0.000493 s: category_theory.limits.has_kernels_of_has_equalizers 0.001523 s: homological_complex.image_to_kernel_map._proof_2 0.000996 s: homological_complex.homology_group._proof_2 0.000119 s: category_theory.image_to_kernel_map._proof_1 0.000101 s: category_theory.image_to_kernel_map._proof_2 0.001324 s: category_theory.limits.equalizer.lift_ι_assoc 0.000764 s: category_theory.cancel_mono_id 0.001950 s: category_theory.limits.equalizer.condition 0.004366 s: category_theory.limits.image.ext 0.000955 s: category_theory.limits.factor_thru_image.category_theory.epi 0.000869 s: category_theory.limits.image.fac_assoc 0.001453 s: category_theory.image_to_kernel_map._proof_3 0.000883 s: category_theory.image_to_kernel_map 0.006728 s: homological_complex.d_squared 0.005689 s: 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0.000154 s: filter.germ.tendsto.equations._eqn_1 0.009620 s: is_integral_domain.to_integral_domain.equations._eqn_1 0.000298 s: measure_theory.ae_eq_fun.has_mul._proof_1 0.000400 s: measure_theory.ae_eq_fun.has_mul 0.002634 s: measure_theory.ae_eq_fun.mk_mul_mk 0.001719 s: continuous_map.to_ae_eq_fun_mul_hom._proof_2 0.001267 s: add_monoid.in_closure 0.000195 s: add_monoid.in_closure.cases_on 0.000063 s: pseudo_metric_quot 0.001014 s: _private.1849640743.glue_dist_self 0.000176 s: metric.glue_premetric._proof_1 0.000698 s: metric.glue_dist._main.equations._eqn_2 0.000290 s: metric.glue_dist.equations._eqn_2 0.000359 s: metric.glue_dist._main.equations._eqn_1 0.000173 s: metric.glue_dist.equations._eqn_1 0.000455 s: monotone.map_bdd_above 0.029425 s: map_cSup_of_continuous_at_of_monotone 0.008121 s: map_csupr_of_continuous_at_of_monotone 0.085108 s: map_cinfi_of_continuous_at_of_monotone 0.000134 s: continuous_at_id 0.000394 s: cInf_le_of_le 0.014158 s: cinfi_le_cinfi 0.000610 s: metric.glue_dist._main.equations._eqn_4 0.000198 s: metric.glue_dist.equations._eqn_4 0.000689 s: metric.glue_dist._main.equations._eqn_3 0.000248 s: metric.glue_dist.equations._eqn_3 0.582570 s: _private.1504204825.glue_dist_triangle 0.002739 s: isometry.dist_eq 0.061484 s: metric.glue_premetric._proof_3 0.000140 s: metric.glue_premetric._proof_4 0.000144 s: metric.glue_premetric._proof_5 0.000140 s: metric.glue_premetric._proof_6 0.061932 s: metric.glue_premetric._proof_7 0.065215 s: metric.glue_premetric._proof_8 0.015723 s: metric.glue_premetric 0.000314 s: metric.glue_space 0.000606 s: metric.to_glue_l 0.000435 s: metric.to_glue_r 0.000948 s: metric.to_glue_l.equations._eqn_1 0.000757 s: metric.to_glue_r.equations._eqn_1 0.016904 s: metric.glue_dist_glued_points 0.006380 s: metric.to_glue_commute 0.001813 s: sesq_form.add_left 0.004526 s: sesq_form.has_add._proof_1 0.002641 s: sesq_form.has_add._proof_2 0.001362 s: sesq_form.add_right 0.003198 s: sesq_form.has_add._proof_3 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generalized_continued_fraction.continuants_recurrence_aux 0.000372 s: generalized_continued_fraction.zeroth_continuant_aux_eq_one_zero 0.000248 s: generalized_continued_fraction.first_continuant_aux_eq_h_one 0.000137 s: generalized_continued_fraction.partial_denominators.equations._eqn_1 0.000761 s: seq.map_nth 0.001108 s: generalized_continued_fraction.part_denom_eq_s_b 0.000868 s: generalized_continued_fraction.squash_gcf_nth_of_lt 0.148043 s: generalized_continued_fraction.continuants_aux_eq_continuants_aux_squash_gcf_of_le 0.167309 s: generalized_continued_fraction.succ_nth_convergent_eq_squash_gcf_nth_convergent 0.014327 s: generalized_continued_fraction.exists_s_b_of_part_denom 0.557946 s: generalized_continued_fraction.convergents_eq_convergents' 0.000128 s: relation.reflexive_refl_trans_gen 0.000253 s: relation.refl_trans_gen.symmetric 0.000347 s: category_theory.zag_symmetric 0.000107 s: category_theory.zigzag_symmetric 0.000161 s: relation.transitive_refl_trans_gen 0.000205 s: category_theory.zigzag_equivalence 0.000056 s: category_theory.zigzag.setoid 0.000036 s: category_theory.connected_components 0.000169 s: category_theory.component 0.000213 s: category_theory.component.category 0.036513 s: list.chain.induction 0.000371 s: list.chain.induction_head 0.000356 s: list.relation_refl_trans_gen_of_exists_chain 0.000766 s: category_theory.is_connected_of_zigzag 0.000257 s: category_theory.component.nonempty 0.001142 s: list.last_cons_cons 0.001253 s: list.exists_chain_of_relation_refl_trans_gen 0.000235 s: quotient.exact' 0.000148 s: list.rel_of_chain_cons 0.000096 s: list.chain_of_chain_cons 0.001423 s: list.chain_pmap_of_chain 0.000542 s: category_theory.zag_of_zag_obj 0.000243 s: category_theory.component.ι 0.000331 s: category_theory.component.ι.full 0.003325 s: list.last_mem 0.000728 s: list.pmap_eq_nil 0.000438 s: list.last_singleton 0.013654 s: list.last_pmap 0.008031 s: category_theory.component.is_connected 0.000743 s: complex.of_real_sinh_of_real_re 0.004152 s: multiset.map.is_add_monoid_hom 0.000942 s: multiset.map_nsmul 0.002674 s: category_theory.monad.algebra.iso_mk_inv_f 0.000545 s: monad_except 0.000261 s: writer_t 0.000166 s: writer_t.lift 0.000112 s: monad_except.throw 0.000069 s: monad_except.catch 0.000102 s: writer_t.run 0.000330 s: writer_t.monad_except 0.001609 s: semidirect_product.one_left 0.000707 s: semidirect_product.one_right 0.002452 s: semidirect_product.lift._proof_1 0.001201 s: monoid_hom.comp_apply 0.008079 s: semidirect_product.lift._proof_2 0.003356 s: semidirect_product.lift 0.003292 s: semidirect_product.lift.equations._eqn_1 0.000629 s: monoid_hom.coe_mk 0.001475 s: semidirect_product.right_inr 0.006599 s: semidirect_product.lift_inr 0.005013 s: semidirect_product.lift_comp_inr 0.003795 s: is_coprime.of_mul_left_left 0.001656 s: is_coprime.of_mul_left_right 0.000459 s: is_coprime.mul_left_iff 0.000447 s: free_abelian_group.map 0.032804 s: free_abelian_group.lift.ext 0.027346 s: free_abelian_group.lift.unique 0.001476 s: free_abelian_group.map_id 0.000813 s: free_abelian_group.map_id_apply 0.004623 s: AddCommGroup.free._proof_1 0.026105 s: free_abelian_group.lift_comp 0.028392 s: free_abelian_group.map_comp 0.008981 s: free_abelian_group.map_comp_apply 0.004990 s: AddCommGroup.free._proof_2 0.002288 s: AddCommGroup.free 0.000280 s: AddCommGroup.free_obj_coe 0.000092 s: seq1.ret 0.000130 s: wseq.join._match_1 0.000219 s: wseq.join._match_1.equations._eqn_1 0.000069 s: list.has_dec_eq._main._proof_2 0.000069 s: turing.tape.right₀ 0.000100 s: turing.TM0.cfg.tape 0.000463 s: turing.eval 0.000092 s: turing.TM0.step 0.000062 s: turing.tape.mk₂ 0.000032 s: turing.tape.mk₁ 0.000106 s: turing.TM0.init 0.000152 s: turing.TM0.eval 0.000065 s: turing.TM1to0.Λ' 0.000221 s: turing.TM1to0.Λ'.inhabited 0.000365 s: turing.TM1.stmt.below 0.002123 s: turing.TM1.stmt.brec_on 0.002278 s: turing.TM1to0.tr_aux._main 0.000290 s: turing.TM1to0.tr_aux 0.001116 s: turing.TM1to0.tr._main 0.000248 s: turing.TM1to0.tr 0.000526 s: turing.TM1.cfg 0.000137 s: turing.TM1.cfg.tape 0.000148 s: turing.TM1.cfg.cases_on 0.002009 s: turing.TM1.step_aux._main 0.000085 s: turing.TM1.step_aux 0.000364 s: turing.TM1.step._main 0.000072 s: turing.TM1.step 0.000093 s: turing.TM1.init 0.000247 s: turing.TM1.eval 0.000465 s: turing.TM1to0.tr_cfg._main 0.000162 s: turing.TM1to0.tr_cfg 0.000208 s: turing.respects._match_1 0.000066 s: turing.respects 0.000065 s: turing.reaches 0.000200 s: pfun.fix_induction._proof_1 0.000935 s: roption.mem_assert 0.000838 s: roption.mem_assert_iff 0.001438 s: pfun.fix_induction._proof_2 0.001293 s: pfun.fix_induction._proof_3 0.001115 s: pfun.fix_induction._proof_4 0.000777 s: pfun.fix_induction._proof_5 0.001236 s: pfun.fix_induction._proof_6 0.001086 s: pfun.fix_induction._proof_7 0.002251 s: pfun.fix_induction 0.000385 s: turing.eval_induction._proof_1 0.000589 s: turing.eval_induction 0.000526 s: pfun.fix.equations._eqn_1 0.012850 s: pfun.mem_fix_iff 0.005081 s: turing.mem_eval 0.000205 s: turing.respects._match_1.equations._eqn_1 0.000145 s: turing.respects._match_1.equations._eqn_2 0.000755 s: relation.trans_gen.drec 0.000258 s: relation.trans_gen.trans_left 0.000093 s: relation.trans_gen.head' 0.001052 s: relation.trans_gen.head'_iff 0.000182 s: option.mem_unique 0.003954 s: turing.tr_reaches_rev 0.002026 s: turing.tr_eval_rev 0.000311 s: relation.refl_trans_gen.dcases_on 0.000313 s: relation.trans_gen.tail' 0.000257 s: relation.trans_gen.to_refl 0.000855 s: relation.refl_trans_gen_iff_eq_or_trans_gen 0.000120 s: relation.trans_gen.trans 0.001342 s: turing.tr_reaches₁ 0.000804 s: turing.tr_reaches 0.000754 s: turing.tr_eval 0.001399 s: turing.tr_eval' 0.000067 s: turing.frespects 0.000177 s: turing.frespects._main.equations._eqn_1 0.000156 s: turing.frespects.equations._eqn_1 0.000129 s: turing.frespects.equations._eqn_2 0.001553 s: turing.fun_respects 0.001082 s: turing.TM1to0.tr_cfg._main.equations._eqn_1 0.000766 s: turing.TM1to0.tr_cfg.equations._eqn_1 0.000163 s: option.map.equations._eqn_1 0.000147 s: option.bind._main.equations._eqn_2 0.000126 s: option.bind.equations._eqn_2 0.000470 s: turing.TM1.step._main.equations._eqn_2 0.000312 s: turing.TM1.step.equations._eqn_2 0.000107 s: relation.trans_gen.head 0.000383 s: turing.reaches₁_eq 0.002067 s: turing.TM1.step_aux._main.equations._eqn_4 0.000327 s: turing.TM1.step_aux.equations._eqn_4 0.000726 s: turing.TM0.step._main.equations._eqn_1 0.000289 s: turing.TM0.step.equations._eqn_1 0.000778 s: turing.TM1to0.tr._main.equations._eqn_2 0.000436 s: turing.TM1to0.tr.equations._eqn_2 0.002116 s: turing.TM1to0.tr_aux._main.equations._eqn_4 0.000415 s: turing.TM1to0.tr_aux.equations._eqn_4 0.000396 s: turing.tape.write_self 0.026653 s: turing.TM1to0.tr_respects 0.003831 s: roption.map_map 0.000636 s: turing.TM1.eval.equations._eqn_1 0.000074 s: list.inth 0.000086 s: list.inth.equations._eqn_1 0.003877 s: list.nth_append 0.000147 s: list.nth_le_repeat 0.002863 s: turing.list_blank.nth._proof_1 0.000142 s: turing.list_blank.nth 0.000212 s: turing.list_blank.induction_on 0.003048 s: list.ext 0.001179 s: list.ext_le 0.000121 s: option.iget._main.equations._eqn_2 0.000057 s: option.iget.equations._eqn_2 0.000549 s: turing.list_blank.nth_mk 0.000101 s: option.iget._main.equations._eqn_1 0.000061 s: option.iget.equations._eqn_1 0.002602 s: turing.list_blank.ext 0.003753 s: turing.TM1to0.tr_eval 0.001053 s: filter.realizer.of_filter._match_1 0.000335 s: filter.realizer.of_filter._match_2 0.002565 s: filter.realizer.of_filter._match_5 0.000723 s: filter.realizer.of_filter._match_6 0.000766 s: filter.realizer.of_filter._match_6.equations._eqn_1 0.000328 s: category_theory.limits.fork.is_limit.hom_iso._proof_2 0.102484 s: finite_dimensional.finite_dimensional_self.equations._eqn_1 0.015783 s: has_fderiv_at_filter.add_const 0.002977 s: has_fderiv_at_filter.sub_const 0.002163 s: has_fderiv_within_at.sub_const 0.001038 s: differentiable_within_at.sub_const 0.000525 s: differentiable_on.sub_const 0.003626 s: alg_hom.cod_restrict._proof_1 0.002741 s: alg_hom.cod_restrict._proof_2 0.002404 s: alg_hom.cod_restrict._proof_3 0.002338 s: alg_hom.cod_restrict._proof_4 0.004598 s: alg_hom.cod_restrict._proof_5 0.004374 s: alg_hom.cod_restrict 0.000929 s: alg_hom.mem_range_self 0.001235 s: alg_hom.range_restrict 0.004261 s: alg_equiv.of_left_inverse._match_1 0.004135 s: alg_equiv.of_left_inverse._proof_1 0.001468 s: alg_equiv.of_left_inverse._proof_2 0.001069 s: alg_equiv.of_left_inverse._proof_3 0.001522 s: alg_equiv.of_left_inverse._proof_4 0.014886 s: alg_equiv.of_left_inverse 0.000212 s: prod.comm_semiring._proof_1 0.000160 s: prod.comm_semiring._proof_2 0.000148 s: prod.comm_semiring._proof_3 0.002368 s: prod.comm_semiring._proof_4 0.000379 s: prod.comm_semiring._proof_5 0.000194 s: prod.comm_semiring._proof_6 0.000196 s: prod.comm_semiring._proof_7 0.000198 s: prod.comm_semiring._proof_8 0.000119 s: prod.comm_semiring._proof_9 0.000289 s: prod.comm_semiring._proof_10 0.000253 s: prod.comm_semiring._proof_11 0.000126 s: prod.comm_semiring._proof_12 0.000152 s: prod.comm_semiring._proof_13 0.000194 s: prod.comm_semiring._proof_14 0.000129 s: prod.comm_semiring._proof_15 0.000223 s: prod.comm_semiring._proof_16 0.005798 s: prod.comm_semiring 0.024054 s: ideal.prod._proof_1 0.008548 s: ideal.prod._proof_2 0.006911 s: ideal.prod._proof_3 0.001528 s: ideal.prod 0.001412 s: ideal.mem_prod 0.003120 s: ideal.prod_top_top 0.011074 s: ideal.is_prime_of_is_prime_prod_top 0.000828 s: simplex_category.mk_hom 0.000448 s: order_embedding.to_preorder_hom 0.003089 s: simplex_category.δ 0.002146 s: category_theory.functor.flip._proof_1 0.001891 s: category_theory.functor.flip._proof_2 0.001236 s: category_theory.functor.flip._proof_3 0.001732 s: category_theory.functor.flip._proof_4 0.001185 s: category_theory.functor.flip._proof_5 0.002580 s: category_theory.functor.flip._proof_6 0.013660 s: category_theory.functor.flip._proof_7 0.049199 s: category_theory.functor.flip._proof_8 0.082068 s: category_theory.functor.flip._proof_9 0.030923 s: category_theory.functor.flip 0.011180 s: category_theory.limits.combine_cocones._proof_1 0.002966 s: category_theory.functor.flip_map_app 0.003317 s: category_theory.limits.is_colimit.fac_assoc 0.019591 s: category_theory.limits.combine_cocones._proof_2 0.065879 s: category_theory.limits.combine_cocones._proof_3 0.155665 s: category_theory.limits.combine_cocones._proof_4 0.059286 s: category_theory.limits.combine_cocones 0.001072 s: category_theory.evaluation._proof_1 0.006401 s: category_theory.evaluation._proof_2 0.000547 s: category_theory.evaluation._proof_3 0.001972 s: category_theory.evaluation._proof_4 0.000471 s: category_theory.evaluation._proof_5 0.001765 s: category_theory.evaluation._proof_6 0.006807 s: category_theory.evaluation._proof_7 0.020660 s: category_theory.evaluation._proof_8 0.053340 s: category_theory.evaluation._proof_9 0.015837 s: category_theory.evaluation 0.049602 s: category_theory.limits.evaluation_jointly_reflects_colimits._proof_1 0.079834 s: category_theory.limits.evaluation_jointly_reflects_colimits._proof_2 0.009156 s: category_theory.congr_app 0.077257 s: category_theory.limits.evaluation_jointly_reflects_colimits._proof_3 0.028428 s: category_theory.limits.evaluation_jointly_reflects_colimits 0.036100 s: category_theory.limits.evaluate_combined_cocones._proof_1 0.016271 s: category_theory.limits.evaluate_combined_cocones 0.014140 s: category_theory.limits.combined_is_colimit 0.002077 s: category_theory.limits.functor_category_has_colimits_of_shape 0.000367 s: category_theory.simplicial_object.category_theory.limits.has_colimits_of_shape 0.000346 s: category_theory.simplicial_object.category_theory.limits.has_colimits 0.002917 s: category_theory.limits.types.colimit_cocone_is_colimit._proof_1 0.010712 s: category_theory.limits.types.colimit_cocone_is_colimit._proof_3 0.007076 s: category_theory.limits.types.colimit_cocone_is_colimit 0.000370 s: category_theory.limits.types.sort.category_theory.limits.has_colimits 0.000173 s: sSet.has_colimits 0.001126 s: sSet.S1._proof_1 0.000647 s: sSet.S1 0.000659 s: sSet.S1.equations._eqn_1 0.000022 s: ωCPO 0.000281 s: omega_complete_partial_order.continuous_hom.of_mono._proof_1 0.001308 s: omega_complete_partial_order.continuous_hom.of_mono 0.001272 s: omega_complete_partial_order.chain.map_id 0.000618 s: omega_complete_partial_order.continuous_hom.id._proof_1 0.000131 s: omega_complete_partial_order.continuous_hom.id 0.000513 s: preorder_hom.comp.equations._eqn_1 0.002438 s: omega_complete_partial_order.chain.map_comp 0.000973 s: omega_complete_partial_order.continuous_hom.continuous 0.004377 s: omega_complete_partial_order.continuous_hom.comp._proof_1 0.001088 s: omega_complete_partial_order.continuous_hom.comp 0.002372 s: omega_complete_partial_order.continuous_hom.ext 0.000626 s: omega_complete_partial_order.continuous_hom.coe_inj 0.000088 s: ωCPO.omega_complete_partial_order.continuous_hom.category_theory.bundled_hom._proof_1 0.000131 s: ωCPO.omega_complete_partial_order.continuous_hom.category_theory.bundled_hom._proof_2 0.001886 s: ωCPO.omega_complete_partial_order.continuous_hom.category_theory.bundled_hom 0.000083 s: ωCPO.large_category 0.000968 s: polynomial.integral_normalization 0.000657 s: polynomial.integral_normalization.equations._eqn_1 0.004160 s: polynomial.integral_normalization_support 0.003745 s: polynomial.coeff_ne_zero_of_eq_degree 0.004017 s: polynomial.integral_normalization_coeff 0.000966 s: polynomial.integral_normalization_coeff_degree 0.000400 s: polynomial.integral_normalization_coeff_nat_degree 0.007665 s: polynomial.monic_integral_normalization 0.001389 s: polynomial.support_zero 0.004162 s: polynomial.integral_normalization_zero 0.000617 s: polynomial.leading_coeff_ne_zero 0.004678 s: polynomial.support_integral_normalization 0.004872 s: polynomial.nat_degree_pos_of_eval₂_root 0.000844 s: polynomial.integral_normalization_coeff_ne_degree 0.000467 s: polynomial.degree_ne_of_nat_degree_ne 0.000259 s: polynomial.integral_normalization_coeff_ne_nat_degree 0.045901 s: polynomial.integral_normalization_eval₂_eq_zero 0.051230 s: polynomial.integral_normalization_aeval_eq_zero 0.067805 s: exists_integral_multiple 0.013288 s: Module.category_theory.preadditive._proof_1 0.005042 s: Module.category_theory.preadditive._proof_2 0.003064 s: Module.category_theory.preadditive 0.000764 s: Module.as_hom 0.028124 s: Module.kernel_cone._proof_1 0.018447 s: Module.kernel_cone 0.008451 s: Module.kernel_is_limit._proof_1 0.003502 s: linear_map.subtype_comp_cod_restrict 0.014018 s: Module.kernel_is_limit._proof_2 0.049043 s: Module.kernel_is_limit._proof_3 0.039402 s: Module.kernel_is_limit 0.000987 s: Module.has_kernels_Module 0.000301 s: Module.kernel_iso_ker._proof_2 0.084962 s: category_theory.functor.map_differential_object._proof_4 0.000369 s: mv_polynomial.support.equations._eqn_1 0.000440 s: mv_polynomial.coeff.equations._eqn_1 0.007029 s: mv_polynomial.mem_support_iff 0.000158 s: ordnode.take_aux._match_1 0.000231 s: ordnode.take_aux._match_1.equations._eqn_2 0.000478 s: convex_cone.to_ordered_add_comm_group._proof_4 0.001872 s: smooth_map_add_group._proof_1 0.001705 s: smooth_map_add_group._proof_2 0.001587 s: smooth_map_add_group._proof_3 0.001720 s: smooth_map_add_group._proof_5 0.002259 s: lie_add_group.smooth_neg 0.000657 s: smooth_neg 0.001756 s: smooth.neg 0.002177 s: smooth_map_add_group._proof_6 0.004973 s: smooth.sub 0.002519 s: smooth_map_add_group._proof_7 0.009719 s: smooth_map_add_group._proof_8 0.018376 s: smooth_map_add_group._proof_9 0.016835 s: smooth_map_add_group 0.006322 s: smooth_map.coe_sub 0.000825 s: finsupp.order_embedding_to_fun._proof_1 0.000441 s: finsupp.order_embedding_to_fun._proof_2 0.001139 s: finsupp.order_embedding_to_fun 0.001630 s: slim_check.rec_shrink_with._match_1.equations._eqn_1 0.002525 s: category_theory.limits.cokernel_cofork.condition_assoc 0.003870 s: category_theory.limits.is_cokernel.cokernel_iso._proof_1 0.001901 s: category_theory.limits.cokernel.cokernel_iso._proof_1 0.250515 s: mul_sub_mul_div_mul_neg_iff 0.017565 s: div_lt_div_of_mul_sub_mul_div_neg 0.001883 s: add_localization.mk 0.002733 s: category_theory.limits.reflects_limit.cases_on 0.001762 s: category_theory.limits.reflects_limit.no_confusion_type 0.000839 s: category_theory.limits.reflects_limit.no_confusion 0.001259 s: category_theory.limits.reflects_limit.mk.inj 0.000543 s: mdifferentiable 0.001082 s: mdifferentiable_within_at 0.001744 s: mdifferentiable_within_at.equations._eqn_1 0.001374 s: mdifferentiable_at.equations._eqn_1 0.007912 s: mdifferentiable_within_at_univ 0.003860 s: ext_chart_preimage_inter_eq 0.003195 s: differentiable_within_at_inter' 0.000242 s: set.left_inv_on.eq_on 0.002100 s: ext_chart_at_symm_map_nhds_within' 0.002080 s: ext_chart_preimage_mem_nhds_within' 0.001413 s: ext_chart_preimage_mem_nhds_within 0.002566 s: mdifferentiable_within_at_inter' 0.000795 s: nhds_within_ext_chart_target_eq 0.003457 s: mdifferentiable_within_at_iff 0.018022 s: times_cont_mdiff_within_at.mdifferentiable_within_at 0.003649 s: times_cont_mdiff_at.mdifferentiable_at 0.001618 s: times_cont_mdiff.mdifferentiable 0.001746 s: times_cont_mdiff_map.times_cont_mdiff 0.002140 s: times_cont_mdiff_map.mdifferentiable' 0.145064 s: euclidean_geometry.dist_affine_combination 0.000038 s: io.handle 0.000298 s: monad_io_file_system.is_eof 0.000055 s: io.fs.is_eof 0.000309 s: simple_graph.min_degree 0.000111 s: matrix.row._main 0.000120 s: matrix.row._main.equations._eqn_1 0.000145 s: ne.decidable.equations._eqn_1 0.000209 s: num.sub'._main.equations._eqn_3 0.000703 s: set.Icc.order_top._proof_5 0.016326 s: pequiv.has_bot._proof_1 0.000311 s: pequiv.has_bot 0.000243 s: pequiv.to_fun 0.000065 s: pequiv.has_coe_to_fun 0.000144 s: pequiv.partial_order._proof_1 0.000530 s: pequiv.partial_order._proof_2 0.000321 s: pequiv.partial_order._proof_3 0.000253 s: pequiv.cases_on 0.000291 s: pequiv.no_confusion_type 0.000535 s: pequiv.no_confusion 0.000614 s: pequiv.mk.inj 0.001008 s: pequiv.mk.inj_eq 0.003224 s: pequiv.ext 0.001931 s: pequiv.partial_order._proof_4 0.001290 s: pequiv.partial_order 0.000082 s: pequiv.order_bot._proof_1 0.000140 s: pequiv.order_bot._proof_2 0.000279 s: pequiv.order_bot._proof_3 0.000367 s: pequiv.order_bot._proof_4 0.000539 s: pequiv.order_bot._proof_5 0.001092 s: pequiv.order_bot 0.000266 s: pequiv.semilattice_inf_bot._proof_4 0.000079 s: turing.partrec_to_TM2.stmt' 0.000082 s: turing.partrec_to_TM2.pop' 0.000027 s: turing.partrec_to_TM2.Γ'.inhabited 0.000118 s: turing.partrec_to_TM2.push' 0.000046 s: turing.partrec_to_TM2.Γ'.cases_on 0.000037 s: turing.partrec_to_TM2.Γ'.no_confusion_type 0.000150 s: turing.partrec_to_TM2.Γ'.no_confusion 0.000622 s: turing.partrec_to_TM2.Γ'.decidable_eq 0.000036 s: turing.partrec_to_TM2.unrev 0.000035 s: turing.partrec_to_TM2.nat_end._main 0.000010 s: turing.partrec_to_TM2.nat_end 0.000083 s: turing.partrec_to_TM2.peek' 0.000029 s: turing.partrec_to_TM2.move_excl 0.000022 s: turing.partrec_to_TM2.move₂ 0.000107 s: turing.partrec_to_TM2.head 0.000673 s: turing.partrec_to_TM2.tr_normal._main 0.000015 s: turing.partrec_to_TM2.tr_normal 0.000748 s: turing.partrec_to_TM2.tr._main 0.000013 s: turing.partrec_to_TM2.tr 0.000059 s: turing.partrec_to_TM2.K'.elim._main 0.000018 s: turing.partrec_to_TM2.K'.elim 0.000076 s: turing.partrec_to_TM2.tr_num._main 0.000023 s: turing.partrec_to_TM2.tr_num 0.000073 s: turing.partrec_to_TM2.tr_nat 0.000305 s: turing.partrec_to_TM2.tr_list._main 0.000031 s: turing.partrec_to_TM2.tr_list 0.000197 s: list.tail_nil 0.000140 s: turing.partrec_to_TM2.tr_list._main.equations._eqn_1 0.000026 s: turing.partrec_to_TM2.tr_list.equations._eqn_1 0.000962 s: turing.partrec_to_TM2.tr_list._main.equations._eqn_2 0.000082 s: turing.partrec_to_TM2.tr_list.equations._eqn_2 0.000236 s: list.head._main.equations._eqn_1 0.000092 s: list.head.equations._eqn_1 0.000480 s: turing.TM2.step._main.equations._eqn_2 0.000468 s: turing.TM2.step.equations._eqn_2 0.000474 s: turing.partrec_to_TM2.tr._main.equations._eqn_7 0.000244 s: turing.partrec_to_TM2.tr.equations._eqn_7 0.000094 s: turing.partrec_to_TM2.peek'.equations._eqn_1 0.000091 s: turing.partrec_to_TM2.pop'.equations._eqn_1 0.002621 s: turing.TM2.step_aux._main.equations._eqn_3 0.000740 s: turing.TM2.step_aux.equations._eqn_3 0.000189 s: turing.partrec_to_TM2.K'.elim._main.equations._eqn_1 0.000119 s: turing.partrec_to_TM2.K'.elim.equations._eqn_1 0.000162 s: list.head'._main.equations._eqn_1 0.000060 s: list.head'.equations._eqn_1 0.001396 s: turing.partrec_to_TM2.K'.elim_update_main 0.002103 s: turing.TM2.step_aux._main.equations._eqn_5 0.000313 s: turing.TM2.step_aux.equations._eqn_5 0.001467 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turing.partrec_to_TM2.tr_pos_num.equations._eqn_1 0.000035 s: turing.partrec_to_TM2.tr_num._main.equations._eqn_1 0.000018 s: turing.partrec_to_TM2.tr_num.equations._eqn_1 0.000147 s: turing.partrec_to_TM2.split_at_pred._match_1 0.000358 s: turing.partrec_to_TM2.split_at_pred._main 0.000043 s: turing.partrec_to_TM2.split_at_pred 0.000327 s: turing.partrec_to_TM2.tr._main.equations._eqn_1 0.000135 s: turing.partrec_to_TM2.tr.equations._eqn_1 0.000138 s: turing.partrec_to_TM2.push'.equations._eqn_1 0.001041 s: turing.partrec_to_TM2.split_at_pred._main.equations._eqn_2 0.000266 s: turing.partrec_to_TM2.split_at_pred.equations._eqn_2 0.000347 s: turing.partrec_to_TM2.split_at_pred._main.equations._eqn_1 0.000176 s: turing.partrec_to_TM2.split_at_pred.equations._eqn_1 0.000285 s: turing.partrec_to_TM2.split_at_pred._match_1.equations._eqn_1 0.002834 s: function.update_idem 0.018902 s: turing.partrec_to_TM2.move_ok 0.012524 s: turing.partrec_to_TM2.split_at_pred_eq 0.000358 s: 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_private.2365738501.ncs_tendsto_const 0.007986 s: _private.4049594301.norm_deriv_eq 0.002004 s: _private.292624365.soln_deriv_norm 0.000110 s: padic_int.integral_domain._proof_1 0.000122 s: padic_int.integral_domain._proof_2 0.000117 s: padic_int.integral_domain._proof_3 0.000282 s: padic_int.integral_domain._proof_4 0.001028 s: padic_int.integral_domain._proof_5 0.000614 s: padic_int.integral_domain._proof_6 0.000511 s: padic_int.integral_domain._proof_7 0.000148 s: padic_int.integral_domain._proof_8 0.000188 s: padic_int.integral_domain._proof_9 0.000111 s: padic_int.integral_domain._proof_10 0.000078 s: padic_int.integral_domain._proof_11 0.000212 s: padic_int.integral_domain._proof_12 0.000287 s: padic_int.integral_domain._proof_13 0.000131 s: padic_int.integral_domain._proof_14 0.000134 s: padic_int.integral_domain._proof_15 0.000141 s: padic_int.integral_domain._proof_16 0.004098 s: padic_int.zero_ne_one 0.000124 s: padic_int.integral_domain._proof_17 0.065647 s: 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_private.511054525.soln_dist_to_a_lt_deriv 0.033159 s: _private.2368922745.soln_unique 0.000745 s: CompHaus 0.000101 s: CompHaus.to_Top 0.000269 s: CompHaus.category 0.000320 s: CompHaus.of 0.000107 s: ultrafilter_basis 0.000067 s: ultrafilter.topological_space 0.000086 s: set.eq_univ_of_univ_subset 0.008190 s: ultrafilter_basis_is_basis 0.000235 s: ultrafilter_is_open_basic 0.000550 s: ultrafilter.mem_pure_sets 0.002178 s: induced_topology_pure 0.000104 s: ultrafilter_basis.equations._eqn_1 0.169611 s: ultrafilter_converges_iff 0.011455 s: dense_range_pure 0.000295 s: dense_inducing_pure 0.000168 s: ultrafilter.extend 0.001038 s: stone_cech_setoid._proof_1 0.000344 s: stone_cech_setoid 0.000034 s: stone_cech 0.000080 s: stone_cech.equations._eqn_1 0.000095 s: stone_cech.topological_space._proof_1 0.000228 s: stone_cech.topological_space 0.000101 s: surjective_quot_mk 0.000095 s: set.range_quot_mk 0.000260 s: continuous_quot_mk 0.000291 s: quot.compact_space 0.000199 s: quotient.compact_space 0.000662 s: ultrafilter_compact 0.000280 s: stone_cech.compact_space 0.000201 s: StoneCech_obj._proof_1 0.008294 s: t2_iff_ultrafilter 0.000312 s: stone_cech_extend._proof_1 0.000212 s: stone_cech_extend 0.001195 s: continuous_coinduced_dom 0.000367 s: continuous_quot_lift 0.000243 s: filter.le_def 0.001140 s: filter.has_basis.le_iff 0.001803 s: filter.has_basis.tendsto_left_iff 0.000799 s: nhds_basis_opens' 0.005584 s: dense_inducing.continuous_at_extend 0.000865 s: dense_inducing.continuous_extend 0.004861 s: normal_space.regular_space._match_2 0.002720 s: normal_space.regular_space._match_1 0.001996 s: normal_space.regular_space 0.171690 s: ultrafilter_comap_pure_nhds 0.000387 s: is_compact.ultrafilter_le_nhds 0.008667 s: continuous_ultrafilter_extend 0.001872 s: continuous_stone_cech_extend 0.001626 s: stone_cech.t2_space 0.000206 s: StoneCech_obj._proof_2 0.000225 s: StoneCech_obj 0.000205 s: CompHaus_to_Top 0.000052 s: stone_cech_unit 0.001347 s: 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matrix.head_val' 0.001348 s: matrix.tail_val' 0.004088 s: matrix.cons_vec_mul 0.000130 s: tactic.decl_reducibility 0.000170 s: fin.nonempty_fin_lin_ord._proof_3 0.000652 s: homeomorph.bijective 0.000059 s: category_theory.End 0.000139 s: category_theory.End.has_mul 0.000356 s: category_theory.iso.conj._proof_1 0.000188 s: category_theory.iso.conj._proof_2 0.001324 s: category_theory.iso.hom_congr_apply 0.001175 s: category_theory.iso.cancel_iso_hom_right_assoc 0.002524 s: category_theory.iso.hom_congr_comp 0.000495 s: category_theory.iso.conj._proof_3 0.001007 s: category_theory.iso.conj 0.002655 s: category_theory.functor.map_hom_congr 0.002064 s: category_theory.functor.map_conj 0.000156 s: prod.has_inf 0.000209 s: prod.semilattice_inf._proof_1 0.000218 s: prod.semilattice_inf._proof_2 0.000322 s: prod.semilattice_inf._proof_3 0.000321 s: prod.semilattice_inf._proof_4 0.000773 s: prod.semilattice_inf._proof_5 0.000633 s: prod.semilattice_inf._proof_6 0.002909 s: prod.semilattice_inf._proof_7 0.002252 s: prod.semilattice_inf 0.000111 s: prod.lattice._proof_1 0.000208 s: prod.lattice._proof_2 0.000344 s: prod.lattice._proof_3 0.000315 s: prod.lattice._proof_4 0.000495 s: prod.lattice._proof_5 0.000476 s: prod.lattice._proof_7 0.000341 s: prod.lattice._proof_8 0.000282 s: prod.lattice._proof_9 0.000432 s: prod.lattice._proof_10 0.012464 s: prod.lattice 0.000569 s: prod.bounded_lattice._proof_4 0.000257 s: smodeq 0.138146 s: is_Hausdorff 0.037862 s: is_Hausdorff.of_subsingleton 0.068517 s: neg_one_lt_zero 0.000099 s: seq.functor 0.000087 s: wseq.of_seq 0.000092 s: wseq.of_seq.equations._eqn_1 0.009568 s: dense_inducing.prod 0.000411 s: uniform_space.completion.dense_inducing_coe 0.000386 s: uniform_space.completion.has_mul._proof_1 0.000389 s: uniform_space.completion.has_mul 0.006769 s: complete_space.prod._match_1 0.000862 s: complete_space.prod._match_2 0.000651 s: complete_space.prod 0.000342 s: abstract_completion.prod._proof_1 0.003428 s: uniform_space.separated_of_uniform_continuous 0.001094 s: uniform_space.eq_of_separated_of_uniform_continuous 0.004711 s: uniform_space.separated.prod 0.000262 s: abstract_completion.prod._proof_2 0.003518 s: uniform_inducing.prod 0.000595 s: abstract_completion.prod._proof_3 0.000385 s: abstract_completion.prod._proof_4 0.000841 s: abstract_completion.prod 0.000452 s: abstract_completion.extend₂ 0.000032 s: function.bicompr 0.000242 s: abstract_completion.map₂ 0.000467 s: uniform_space.completion.map₂ 0.000070 s: uniform_space.completion.has_add 0.000443 s: uniform_space.completion.dense_range_coe₂ 0.000786 s: uniform_space.completion.dense_range_coe₃ 0.002349 s: uniform_space.completion.induction_on₃ 0.000102 s: uniform_space.completion.regular_space 0.000087 s: uniform_continuous₂ 0.000193 s: uniform_continuous₂_def 0.000465 s: abstract_completion.extend₂.equations._eqn_1 0.001355 s: abstract_completion.uniform_continuous_extension₂ 0.000697 s: abstract_completion.uniform_continuous_map₂ 0.002098 s: abstract_completion.continuous_map₂ 0.002130 s: uniform_space.completion.continuous_map₂ 0.001375 s: abstract_completion.extension₂_coe_coe 0.001131 s: abstract_completion.map₂_coe_coe 0.000842 s: uniform_space.completion.map₂_coe_coe 0.000988 s: uniform_space.completion.coe_add 0.003438 s: uniform_space.completion.add_monoid._proof_1 0.000073 s: uniform_space.completion.has_zero 0.000186 s: uniform_space.completion.induction_on 0.000438 s: uniform_space.completion.coe_zero 0.002258 s: uniform_space.completion.add_monoid._proof_2 0.001642 s: uniform_space.completion.add_monoid._proof_3 0.001543 s: uniform_space.completion.add_monoid._proof_4 0.001493 s: uniform_space.completion.add_monoid._proof_5 0.004222 s: uniform_space.completion.add_monoid._proof_6 0.004455 s: uniform_space.completion.add_monoid._proof_7 0.003561 s: uniform_space.completion.add_monoid 0.000119 s: uniform_space.completion.sub_neg_monoid._proof_1 0.000182 s: uniform_space.completion.sub_neg_monoid._proof_2 0.000158 s: uniform_space.completion.sub_neg_monoid._proof_3 0.000275 s: uniform_space.completion.sub_neg_monoid._proof_4 0.000243 s: uniform_space.completion.sub_neg_monoid._proof_5 0.000139 s: uniform_space.completion.has_neg 0.000083 s: uniform_space.completion.has_sub 0.001239 s: uniform_space.completion.induction_on₂ 0.000778 s: uniform_space.completion.coe_sub 0.000634 s: uniform_space.completion.coe_neg 0.003434 s: uniform_space.completion.sub_neg_monoid._proof_6 0.001009 s: uniform_space.completion.sub_neg_monoid 0.000177 s: uniform_space.completion.add_group._proof_1 0.000099 s: uniform_space.completion.add_group._proof_2 0.000088 s: uniform_space.completion.add_group._proof_3 0.000571 s: uniform_space.completion.add_group._proof_4 0.000244 s: uniform_space.completion.add_group._proof_5 0.000375 s: uniform_space.completion.add_group._proof_6 0.004349 s: uniform_space.completion.add_group._proof_7 0.002133 s: uniform_space.completion.add_group 0.000217 s: uniform_space.completion.add_comm_group._proof_1 0.000260 s: uniform_space.completion.add_comm_group._proof_2 0.000148 s: uniform_space.completion.add_comm_group._proof_3 0.000447 s: uniform_space.completion.add_comm_group._proof_4 0.000458 s: uniform_space.completion.add_comm_group._proof_5 0.000708 s: uniform_space.completion.add_comm_group._proof_6 0.000641 s: uniform_space.completion.add_comm_group._proof_7 0.004034 s: uniform_space.completion.add_comm_group._proof_8 0.001817 s: uniform_space.completion.add_comm_group 0.000129 s: function.curry.equations._eqn_1 0.001439 s: add_comm_group.is_Z_bilin 0.000589 s: dense_inducing.continuous_extend_of_cauchy 0.001353 s: exists_nhds_square 0.004154 s: exists_open_nhds_zero_half 0.001028 s: exists_nhds_zero_half 0.001941 s: exists_nhds_zero_quarter 0.001138 s: set.prod_sub_preimage_iff 0.003190 s: filter.tendsto_prod_iff 0.000705 s: add_comm_group.is_Z_bilin.add_left 0.006893 s: add_comm_group.is_Z_bilin.zero_left 0.000977 s: add_comm_group.is_Z_bilin.zero 0.001883 s: dense_inducing.tendsto_comap_nhds_nhds 0.001231 s: is_add_group_hom.map_sub 0.003667 s: tendsto_sub_comap_self 0.002108 s: filter.tendsto_prod_self_iff 0.000757 s: is_Z_bilin.tendsto_zero_right 0.004071 s: _private.3105430565.extend_Z_bilin_aux 0.000817 s: add_comm_group.is_Z_bilin.add_right 0.002371 s: add_comm_group.is_Z_bilin.comp_swap 0.000920 s: add_comm_group.is_Z_bilin.neg_left 0.000923 s: add_comm_group.is_Z_bilin.sub_left 0.001132 s: add_comm_group.is_Z_bilin.sub_right 0.060945 s: _private.1209682459.extend_Z_bilin_key 0.024153 s: dense_inducing.extend_Z_bilin 0.000961 s: uniform_space.completion.uniform_continuous_map₂ 0.001393 s: uniform_space.completion.uniform_add_group 0.001109 s: uniform_space.completion.is_add_group_hom_coe 0.000160 s: abstract_completion.continuous_coe 0.000303 s: uniform_space.completion.continuous_coe 0.020192 s: uniform_space.completion.continuous_mul 0.003935 s: uniform_space.completion.continuous.mul 0.002024 s: uniform_space.completion.coe_mul 0.003777 s: uniform_space.completion.ring._proof_17 0.000894 s: dihedral_group.r_mul_r 0.004924 s: dihedral_group.r_one_pow 0.000097 s: _private.1123440005.fintype_helper._match_2 0.000192 s: _private.1123440005.fintype_helper._match_1 0.000516 s: _private.1123440005.fintype_helper._proof_1 0.000319 s: _private.1123440005.fintype_helper._proof_2 0.000146 s: _private.1123440005.fintype_helper 0.000091 s: dihedral_group.fintype 0.001232 s: dihedral_group.r_one_pow_n 0.000066 s: dihedral_group.r.inj_arrow 0.003142 s: zmod.val_eq_zero 0.001136 s: order_of_eq_zero 0.000082 s: dihedral_group.sr.inj_arrow 0.000733 s: dihedral_group.decidable_eq 0.016973 s: dihedral_group.order_of_r_one 0.004926 s: dihedral_group.order_of_r 0.007138 s: inner_product_space.core 0.001249 s: inner_product_space.core.inner 0.000300 s: inner_product_space.of_core.to_has_inner 0.000431 s: inner_product_space.of_core.to_has_norm 0.002159 s: inner_product_space.of_core.norm_eq_sqrt_inner 0.001838 s: inner_product_space.core.nonneg_re 0.001033 s: inner_product_space.of_core.inner_self_nonneg 0.001129 s: inner_product_space.of_core.inner_self_eq_norm_square 0.001983 s: inner_product_space.core.conj_sym 0.001040 s: inner_product_space.of_core.inner_conj_sym 0.000660 s: inner_product_space.of_core.inner_abs_conj_sym 0.001708 s: inner_product_space.core.smul_left 0.001216 s: inner_product_space.of_core.inner_smul_left 0.005891 s: inner_product_space.of_core.inner_zero_left 0.002060 s: inner_product_space.core.definite 0.001281 s: inner_product_space.of_core.inner_self_eq_zero 0.029313 s: inner_product_space.of_core.inner_self_nonneg_im 0.004965 s: inner_product_space.core.add_left 0.001584 s: inner_product_space.of_core.inner_add_left 0.003453 s: inner_product_space.of_core.inner_add_right 0.003301 s: inner_product_space.of_core.inner_neg_left 0.001600 s: inner_product_space.of_core.inner_neg_right 0.003365 s: inner_product_space.of_core.inner_sub_right 0.002675 s: inner_product_space.of_core.inner_sub_left 0.054306 s: inner_product_space.of_core.inner_sub_sub_self 0.008743 s: inner_product_space.of_core.inner_smul_right 0.001276 s: inner_product_space.of_core.inner_re_symm 0.001072 s: inner_product_space.of_core.inner_im_symm 0.001123 s: inner_product_space.of_core.inner_self_re_to_K 0.002755 s: inner_product_space.of_core.inner_mul_conj_re_abs 0.172536 s: inner_product_space.of_core.inner_mul_inner_self_le 0.065254 s: inner_product_space.of_core.abs_inner_le_norm 0.000132 s: pgame.of_lists._proof_1 0.000073 s: pgame.of_lists._proof_2 0.000641 s: pgame.of_lists 0.000068 s: pgame.star 0.024904 s: pgame.star_lt_zero 0.004939 s: principal_seg.coe_coe_fn' 0.000309 s: category_theory.limits.pushout_cocone.flip_is_colimit._proof_1 0.001148 s: tactic_doc._4247318520 0.004124 s: linear_independent.restrict_scalars 0.001130 s: algebra.algebra_map_eq_smul_one' 0.002459 s: linear_independent.restrict_scalars_algebras 0.000462 s: preorder_hom.has_inf._proof_1 0.007748 s: intermediate_field.coe_one 0.007229 s: intermediate_field.coe_mul 0.011315 s: intermediate_field.coe_pow 0.000024 s: computability.encode_bool 0.000026 s: arbitrary 0.000055 s: computability.decode_bool._main 0.000023 s: computability.decode_bool 0.000151 s: computability.decode_encode_bool 0.000050 s: computability.fin_encoding_bool_bool._proof_1 0.000130 s: computability.fin_encoding_bool_bool 0.002038 s: category_theory.well_powered 0.003860 s: linear_map.comp_ker_subtype 0.000510 s: typevec.repeat._main 0.000040 s: typevec.repeat 0.003205 s: typevec.subtype_._main 0.000034 s: typevec.subtype_ 0.000076 s: typevec.nil_fun 0.002780 s: typevec.repeat_eq._main 0.000051 s: typevec.repeat_eq 0.004286 s: typevec.diag_sub._main 0.000047 s: typevec.diag_sub 0.001562 s: ring_hom.map_rat_cast 0.175929 s: is_R_or_C.of_real_rat_cast 0.028953 s: asymptotics.is_O_with.eventually_mul_div_cancel 0.005083 s: asymptotics.is_o.eventually_mul_div_cancel 0.036790 s: asymptotics.is_O_with_of_eq_mul 0.001085 s: metric.tendsto_nhds 0.006493 s: normed_group.tendsto_nhds_zero 0.003827 s: asymptotics.is_o_iff_exists_eq_mul 0.026030 s: asymptotics.is_equivalent_iff_exists_eq_mul 0.005084 s: category_theory.limits.biprod.inl_desc 0.000379 s: multiset.dvd_lcm 0.000526 s: multiset.lcm_mono 0.003800 s: add_comm_group.is_Z_bilin.comp_swap.equations._eqn_1 0.000240 s: tactic.ring2.horner_expr.add_const 0.001085 s: tactic.ring2.horner_expr.add_aux._main 0.000027 s: tactic.ring2.horner_expr.add_aux 0.000294 s: tactic.ring2.horner_expr.add._main 0.000013 s: tactic.ring2.horner_expr.add 0.001403 s: tactic.ring2.horner_expr.add._main.equations._eqn_2 0.000081 s: tactic.ring2.horner_expr.add.equations._eqn_2 0.001228 s: category_theory.center.id_f 0.003196 s: linear_ordered_cancel_comm_monoid.le_total 0.002411 s: linear_ordered_cancel_comm_monoid.decidable_le 0.001491 s: 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0.000008 s: snum.tail 0.000702 s: snum.bits._main 0.000032 s: snum.bits 0.000131 s: snum.bits._sunfold 0.000266 s: denumerable.lower._main 0.000012 s: denumerable.lower 0.000047 s: denumerable.multiset._proof_1 0.000065 s: denumerable.multiset._proof_2 0.000137 s: denumerable.raise._main 0.000013 s: denumerable.raise 0.000318 s: denumerable.lower._main.equations._eqn_2 0.000104 s: denumerable.lower.equations._eqn_2 0.000748 s: denumerable.raise._main.equations._eqn_2 0.000308 s: denumerable.raise.equations._eqn_2 0.001786 s: denumerable.raise_lower 0.000823 s: multiset.map_id 0.000075 s: multiset.map_id' 0.003840 s: denumerable.multiset._proof_3 0.001834 s: multiset.coe_sort 0.000309 s: list.merge_sort_eq_self 0.000786 s: denumerable.raise_chain 0.001636 s: denumerable.raise_sorted 0.001244 s: denumerable.lower_raise 0.003851 s: denumerable.multiset._proof_4 0.001822 s: denumerable.multiset 0.001671 s: denumerable.multiset.equations._eqn_1 0.000209 s: qpf.is_precongr 0.000145 s: 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set.semigroup 0.000200 s: set.monoid._proof_1 0.000195 s: set.monoid._proof_2 0.000164 s: set.monoid._proof_3 0.000128 s: set.monoid._proof_5 0.001028 s: set.monoid._proof_6 0.000589 s: set.monoid._proof_7 0.002096 s: set.monoid 0.000106 s: set.set_semiring.semiring._proof_7 0.000084 s: set.set_semiring.semiring._proof_8 0.000154 s: set.set_semiring.semiring._proof_9 0.000420 s: set.set_semiring.semiring._proof_10 0.000320 s: set.set_semiring.semiring._proof_11 0.000242 s: set.set_semiring.semiring._proof_13 0.000148 s: set.set_semiring.semiring._proof_14 0.000112 s: set.set_semiring.semiring._proof_15 0.002100 s: set.set_semiring.semiring 0.000137 s: set.set_semiring.comm_semiring._proof_3 0.025505 s: int.normalization_monoid._proof_1 0.009954 s: int.units_mul_self 0.059921 s: int.normalization_monoid._proof_2 0.048436 s: int.normalization_monoid._proof_3 0.025708 s: int.normalization_monoid 0.023520 s: int.normalize_of_nonneg 0.000411 s: int.normalize_coe_nat 0.000191 s: int.gcd_monoid._proof_7 0.000115 s: sort.inhabited'.equations._eqn_1 0.000153 s: generalized_continued_fraction.partial_numerators 0.000086 s: generalized_continued_fraction.is_simple_continued_fraction 0.000033 s: simple_continued_fraction 0.000087 s: simple_continued_fraction.equations._eqn_1 0.000264 s: simple_continued_fraction.has_coe_to_generalized_continued_fraction._proof_1 0.000113 s: simple_continued_fraction.has_coe_to_generalized_continued_fraction 0.000179 s: simple_continued_fraction.is_continued_fraction 0.000075 s: continued_fraction 0.000180 s: continued_fraction.equations._eqn_1 0.000240 s: continued_fraction.has_coe_to_simple_continued_fraction._proof_1 0.000128 s: continued_fraction.has_coe_to_simple_continued_fraction 0.003985 s: vector.append._main 0.000046 s: vector.append 0.001264 s: bitvec.of_nat._main 0.000018 s: bitvec.of_nat 0.000240 s: bitvec.of_nat._sunfold 0.004423 s: div_le_iff_of_neg' 0.002486 s: div_le_one_of_neg 0.050530 s: one_div_le_one_div_of_neg_of_le 0.358948 s: one_div_le_neg_one 0.000304 s: subgroup.gi._proof_1 0.000337 s: subgroup.gi._proof_2 0.000153 s: subgroup.gi._proof_3 0.028886 s: subgroup.gi 0.008585 s: subgroup.closure_Union 0.000237 s: subgroup.closure_eq 0.007558 s: subgroup.mem_supr_of_directed 0.001225 s: measure_theory.measure.finite_spanning_sets_in.cases_on 0.000234 s: zmod.decidable_eq._main.equations._eqn_1 0.001812 s: category_theory.limits.map_pair.equations._eqn_1 0.002229 s: linear_isometry_equiv.to_linear_equiv_symm 0.000701 s: equiv.subtype_subtype_equiv_subtype_exists._match_1 0.000467 s: equiv.subtype_subtype_equiv_subtype_exists._match_2 0.001032 s: equiv.subtype_subtype_equiv_subtype_exists._match_3 0.000206 s: equiv.subtype_subtype_equiv_subtype_exists._proof_1 0.001053 s: equiv.subtype_subtype_equiv_subtype_exists._match_4 0.000210 s: equiv.subtype_subtype_equiv_subtype_exists._proof_2 0.000333 s: equiv.subtype_subtype_equiv_subtype_exists 0.001796 s: equiv.subtype_subtype_equiv_subtype_exists_apply 0.000120 s: category_theory.coe_comonad 0.000686 s: category_theory.comonad.ε 0.003123 s: category_theory.comonad.δ' 0.000518 s: category_theory.comonad.δ 0.007757 s: category_theory.comonad.coalgebra 0.001535 s: category_theory.comonad.coalgebra.A 0.001665 s: category_theory.comonad.coalgebra.a 0.003768 s: category_theory.comonad.coalgebra.coassoc 0.003083 s: category_theory.comonad.coalgebra.coassoc_assoc 0.000158 s: list.permutations_aux2._match_1 0.000407 s: list.permutations_aux2._main 0.000052 s: list.permutations_aux2 0.000656 s: list.permutations_aux2_snd_nil 0.002499 s: list.permutations_aux2_fst 0.001623 s: list.permutations_aux2_snd_cons 0.001414 s: list.permutations_aux2_append 0.001437 s: quaternion.add_im_i 0.004283 s: charted_space_core 0.000452 s: charted_space_core.chart_at 0.000582 s: charted_space_core.mem_chart_source 0.000239 s: charted_space_core.to_charted_space._proof_1 0.000931 s: band_eq_false_eq_eq_ff_or_eq_ff 0.000556 s: ring_char.eq 0.001588 s: multilinear_map.restrict_scalars._proof_1 0.002566 s: multilinear_map.to_linear_map._proof_1 0.002162 s: multilinear_map.to_linear_map._proof_2 0.001514 s: multilinear_map.to_linear_map 0.002377 s: multilinear_map.restrict_scalars._proof_2 0.004198 s: multilinear_map.restrict_scalars 0.004178 s: multilinear_map.restrict_scalars.equations._eqn_1 0.000025 s: CommSemiRing 0.000053 s: CommSemiRing.comm_semiring.to_semiring.category_theory.bundled_hom.parent_projection 0.000172 s: CommSemiRing.large_category 0.000193 s: CommSemiRing.concrete_category 0.000035 s: CommSemiRing.of 0.000243 s: CommRing.has_forget_to_CommSemiRing._proof_1 0.053377 s: CommRing.has_forget_to_CommSemiRing._proof_2 0.062320 s: CommRing.has_forget_to_CommSemiRing 0.000492 s: CommRing.limit_cone._proof_1 0.000236 s: CommRing.limit_cone._proof_2 0.000520 s: CommRing.limit_cone 0.000660 s: CommRing.limit_cone_is_limit 0.000585 s: CommSemiRing.has_forget_to_SemiRing 0.000753 s: CommSemiRing.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000100 s: CommSemiRing.has_coe_to_sort 0.000145 s: CommSemiRing.comm_semiring 0.255813 s: CommSemiRing.limit_comm_semiring 0.003250 s: CommSemiRing.category_theory.forget₂.category_theory.creates_limit._proof_2 1.216075 s: CommSemiRing.category_theory.forget₂.category_theory.creates_limit._proof_3 0.641336 s: CommSemiRing.category_theory.forget₂.category_theory.creates_limit 0.000364 s: CommSemiRing.limit_cone._proof_1 0.000219 s: CommSemiRing.limit_cone._proof_2 0.000437 s: CommSemiRing.limit_cone 0.000574 s: CommSemiRing.limit_cone_is_limit 2.272446 s: CommRing.forget₂_CommSemiRing_preserves_limits_aux 0.000673 s: CommRing.forget₂_CommSemiRing_preserves_limits 0.000385 s: CommRing.forget₂_CommSemiRing_preserves_limits.equations._eqn_1 0.009752 s: category_theory.over.construct_products.cones_equiv_inverse_map_hom 0.000213 s: int.add_mod 0.000145 s: int.lt_of_coe_nat_lt_coe_nat 0.005591 s: int.mod_eq_of_lt 0.001828 s: norm_num.int_mod 0.157578 s: int.odd_iff 0.020427 s: int.mod_two_ne_one 0.000197 s: int.not_odd_iff 0.000162 s: int.even_iff_not_odd 0.004058 s: category_theory.groupoid 0.002279 s: category_theory.groupoid.to_category 0.000451 s: category_theory.End.monoid._proof_1 0.000130 s: category_theory.End.has_one 0.001727 s: category_theory.End.monoid._proof_2 0.001326 s: category_theory.End.monoid._proof_3 0.002199 s: category_theory.End.monoid 0.000156 s: category_theory.End.group._proof_1 0.000111 s: category_theory.End.group._proof_2 0.000099 s: category_theory.End.group._proof_3 0.000339 s: category_theory.End.group._proof_4 0.000278 s: category_theory.End.group._proof_5 0.000491 s: category_theory.groupoid.inv 0.000107 s: category_theory.End.group._proof_6 0.000097 s: category_theory.End.group._proof_7 0.000119 s: category_theory.End.group._proof_8 0.000189 s: category_theory.End.group._proof_9 0.000209 s: category_theory.End.group._proof_10 0.000487 s: category_theory.End.group._proof_11 0.000640 s: category_theory.groupoid.comp_inv 0.002876 s: category_theory.End.group 0.000234 s: relator.left_total.drec 0.000131 s: trunc.lift_on 0.000122 s: trunc.bind._proof_1 0.000082 s: trunc.bind 0.000085 s: trunc.map 0.000347 s: semiquot.map._proof_1 0.000295 s: semiquot.val 0.000456 s: semiquot.map 0.000139 s: semiquot.mk 0.000067 s: semiquot.pure 0.000819 s: semiquot.bind._proof_1 0.000647 s: semiquot.bind 0.000353 s: semiquot.monad 0.000518 s: semiquot.lift_on._proof_1 0.000234 s: semiquot.lift_on 0.000097 s: semiquot.get 0.000130 s: semiquot.cases_on 0.000744 s: semiquot.ext_s 0.000245 s: semiquot.ext 0.000625 s: semiquot.mem_pure 0.000201 s: semiquot.get.equations._eqn_1 0.000290 s: semiquot.eq_mk_of_mem 0.001187 s: semiquot.lift_on_of_mem 0.000649 s: semiquot.exists_mem 0.000934 s: semiquot.get_mem 0.000686 s: semiquot.eq_pure 0.000995 s: semiquot.pure_is_pure 0.000336 s: semiquot.is_pure_iff 0.000202 s: prod.ring._proof_1 0.000189 s: prod.ring._proof_2 0.000110 s: prod.ring._proof_3 0.000460 s: prod.ring._proof_4 0.000272 s: prod.ring._proof_5 0.000525 s: prod.ring._proof_6 0.000531 s: prod.ring._proof_7 0.000151 s: prod.ring._proof_8 0.000155 s: prod.ring._proof_10 0.000116 s: prod.ring._proof_11 0.000254 s: prod.ring._proof_12 0.000255 s: prod.ring._proof_13 0.000143 s: prod.ring._proof_14 0.000131 s: prod.ring._proof_15 0.010658 s: prod.ring 0.000227 s: prod.comm_ring._proof_3 0.000043 s: zsqrtd.sq_le 0.000056 s: zsqrtd.sq_le.equations._eqn_1 0.002790 s: is_free_group.ext_hom 0.000081 s: measure_theory.measure.count 0.000082 s: measure_theory.measure.count.equations._eqn_1 0.002144 s: tsum_subtype 0.004340 s: measure_theory.measure.count_apply 0.000425 s: measurable_set.insert 0.000174 s: set.finite.measurable_set 0.000142 s: finset.measurable_set 0.003565 s: ennreal.char_zero 0.013666 s: measure_theory.measure.count_apply_finset 0.003052 s: nonempty_fin_lin_ord.le 0.001449 s: nonempty_fin_lin_ord.lt 0.002651 s: nonempty_fin_lin_ord.le_refl 0.000919 s: nonempty_fin_lin_ord.le_trans 0.001237 s: nonempty_fin_lin_ord.lt_iff_le_not_le 0.001730 s: nonempty_fin_lin_ord.le_antisymm 0.001841 s: nonempty_fin_lin_ord.decidable_lt 0.002776 s: Top.subpresheaf_to_Types.subtype._proof_1 0.000841 s: concave_on 0.000365 s: order_dual.mul_action._proof_1 0.000368 s: order_dual.mul_action._proof_2 0.000459 s: order_dual.mul_action 0.000306 s: order_dual.distrib_mul_action._proof_1 0.000274 s: order_dual.distrib_mul_action._proof_2 0.004581 s: order_dual.distrib_mul_action 0.000287 s: order_dual.semimodule._proof_1 0.000530 s: order_dual.semimodule._proof_2 0.003793 s: order_dual.semimodule 0.000861 s: ordered_semimodule.lt_of_smul_lt_smul_of_pos 0.008570 s: order_dual.ordered_semimodule 0.076601 s: concave_on.convex_lt 0.010661 s: submodule.smul_mono 0.097318 s: ideal.pow_le_pow 0.081618 s: adic_completion._proof_1 0.075417 s: adic_completion._proof_2 0.077147 s: adic_completion._proof_3 0.081139 s: adic_completion._proof_4 0.078231 s: adic_completion 0.073095 s: adic_completion.eval._proof_1 0.076193 s: adic_completion.eval._proof_2 0.084611 s: adic_completion.eval 0.020247 s: category_theory.subobject.of_le.equations._eqn_1 0.001132 s: category_theory.hom_of_le_comp 0.013992 s: category_theory.subobject.of_le_comp_of_le 0.001678 s: category_theory.subobject.of_le_comp_of_le_assoc 0.001712 s: category_theory.limits.has_zero_morphisms_pempty._proof_1 0.000717 s: category_theory.limits.has_zero_morphisms_pempty._proof_2 0.000445 s: category_theory.limits.has_zero_morphisms_pempty 0.000235 s: alternating_group 0.000756 s: equiv.perm.mem_alternating_group 0.000013 s: category_theory.types_grothendieck_topology._proof_1 0.000650 s: category_theory.types_grothendieck_topology._proof_2 0.000924 s: category_theory.types_grothendieck_topology._proof_3 0.002501 s: category_theory.types_grothendieck_topology 0.005810 s: category_theory.is_sheaf_yoneda' 0.001671 s: category_theory.yoneda'._proof_1 0.001261 s: category_theory.yoneda'._proof_2 0.009864 s: category_theory.yoneda' 0.004057 s: category_theory.type_equiv._proof_1 0.003463 s: category_theory.type_equiv._proof_2 0.005012 s: category_theory.type_equiv._proof_3 0.000661 s: equiv.to_iso._proof_1 0.000576 s: equiv.to_iso._proof_2 0.000384 s: equiv.to_iso 0.000733 s: category_theory.presieve.is_sheaf_for.amalgamate._proof_1 0.000394 s: category_theory.presieve.is_sheaf_for.amalgamate 0.000105 s: category_theory.discrete_presieve 0.000710 s: category_theory.presieve.is_sheaf.is_sheaf_for 0.001388 s: category_theory.generate_discrete_presieve_mem 0.000251 s: category_theory.types_glue._proof_1 0.001663 s: category_theory.presieve.is_separated_for.ext 0.000369 s: category_theory.presieve.is_sheaf_for.is_separated_for 0.003973 s: category_theory.types_glue._match_1 0.002064 s: category_theory.types_glue._proof_2 0.000847 s: category_theory.types_glue 0.001210 s: category_theory.presieve.is_sheaf_for.is_amalgamation 0.001332 s: category_theory.presieve.is_sheaf_for.valid_glue 0.003055 s: category_theory.types_glue_eval 0.003233 s: category_theory.eval_types_glue 0.000361 s: category_theory.eval_equiv 0.002049 s: category_theory.eval_map 0.003827 s: category_theory.equiv_yoneda._proof_1 0.001223 s: category_theory.equiv_yoneda 0.000171 s: category_theory.equiv_yoneda'._proof_1 0.000590 s: category_theory.equiv_yoneda'._proof_2 0.000359 s: category_theory.equiv_yoneda'._proof_3 0.002773 s: category_theory.equiv_yoneda' 0.002258 s: category_theory.eval_app 0.013992 s: category_theory.type_equiv._proof_4 0.010291 s: category_theory.type_equiv 0.001736 s: category_theory.type_equiv_functor_obj_coe_obj 0.007551 s: circle._proof_1 0.009093 s: circle._proof_2 0.000158 s: circle 0.005393 s: abs_eq_of_mem_circle 0.000427 s: parser.unfailing 0.000032 s: parser.eps 0.001306 s: parser.unfailing.pure 0.000111 s: parser.unfailing.eps 0.000722 s: order.ideal_inter_nonempty 0.000113 s: order.ideal_inter_nonempty.inter_nonempty 0.000113 s: order.inter_nonempty 0.001608 s: order.ideal.sup._proof_1 0.001783 s: order.ideal.sup._match_1 0.001475 s: order.ideal.sup._match_2 0.000712 s: order.ideal.sup._proof_2 0.001360 s: order.ideal.sup._match_3 0.000598 s: order.ideal.sup._proof_3 0.000760 s: order.ideal.sup 0.000308 s: order.ideal.nonempty 0.001315 s: order.ideal.lattice._proof_6 0.000011 s: category_theory.core 0.000680 s: category_theory.iso.refl_trans 0.002056 s: category_theory.core_category._proof_1 0.000449 s: category_theory.iso.trans_refl 0.001633 s: category_theory.core_category._proof_2 0.001195 s: category_theory.iso.trans_assoc 0.002094 s: category_theory.core_category._proof_3 0.000711 s: category_theory.iso.symm_self_id 0.012120 s: category_theory.core_category._proof_4 0.000827 s: category_theory.iso.self_symm_id 0.011485 s: category_theory.core_category._proof_5 0.009703 s: category_theory.core_category 0.000905 s: category_theory.core.inclusion._proof_1 0.000608 s: category_theory.core.inclusion._proof_2 0.001294 s: category_theory.core.inclusion 0.001324 s: category_theory.core.inclusion.category_theory.faithful 0.000172 s: euclidean_geometry.cospherical 0.095987 s: euclidean_geometry.cospherical_iff_exists_mem_of_complete 0.000167 s: category_theory.over.equations._eqn_1 0.011281 s: is_add_group_hom.drec_on 0.000358 s: comm_semigroup.sizeof 0.001022 s: comm_semigroup.mk.sizeof_spec 0.004581 s: mul_action.mul_left_cosets._proof_1 0.000828 s: mul_action.mul_left_cosets 0.004216 s: mul_action.quotient._proof_1 0.002042 s: mul_action.quotient._proof_2 0.000352 s: mul_action.quotient 0.000229 s: mul_action_hom.to_quotient._proof_1 0.001641 s: mul_action_hom.to_quotient 0.000872 s: category_theory.cofinal 0.000117 s: category_theory.is_connected.is_nonempty 0.000274 s: category_theory.cofinal.out 0.000272 s: category_theory.cofinal.category_theory.structured_arrow.nonempty 0.000420 s: category_theory.cofinal.lift 0.000969 s: category_theory.cofinal.hom_to_lift 0.000324 s: category_theory.is_preconnected.iso_constant 0.000356 s: category_theory.iso_constant 0.001711 s: category_theory.any_functor_const_on_obj 0.003211 s: category_theory.constant_of_preserves_morphisms 0.000794 s: category_theory.induct_on_objects 0.000628 s: category_theory.is_preconnected_induction 0.000054 s: category_theory.is_connected.to_is_preconnected 0.005728 s: category_theory.cofinal.induction 0.015894 s: category_theory.cofinal.extend_cocone._proof_1 0.015887 s: category_theory.cofinal.extend_cocone._proof_2 0.016771 s: category_theory.cofinal.extend_cocone._proof_3 0.057929 s: category_theory.cofinal.extend_cocone._proof_4 0.100664 s: category_theory.cofinal.extend_cocone._proof_5 0.110371 s: category_theory.cofinal.extend_cocone._proof_6 0.055707 s: category_theory.cofinal.extend_cocone 0.009624 s: category_theory.limits.prod.braiding._proof_1 0.004263 s: category_theory.limits.prod.braiding._proof_2 0.000570 s: category_theory.limits.prod.braiding 0.030893 s: category_theory.symmetric_of_has_finite_products._proof_2 0.011963 s: mul_equiv.monoid_hom_congr._proof_1 0.005404 s: mul_equiv.monoid_hom_congr._proof_2 0.000667 s: monoid_hom.mul_apply 0.004330 s: mul_equiv.monoid_hom_congr._proof_3 0.001683 s: mul_equiv.monoid_hom_congr 0.001672 s: mul_equiv.monoid_hom_congr.equations._eqn_1 0.013904 s: principal_ideal_ring.factors._proof_1 0.000391 s: principal_ideal_ring.factors 0.001534 s: principal_ideal_ring.factors.equations._eqn_1 0.024670 s: principal_ideal_ring.factors_spec 0.000646 s: polynomial.degree_coe_units 0.000489 s: polynomial.nat_degree_coe_units 0.010481 s: polynomial.coeff_coe_units_zero_ne_zero 0.005424 s: polynomial.coeff_zero_eq_eval_zero 0.130688 s: polynomial.coeff_inv_units 0.000281 s: equiv.perm.is_cycle 0.014141 s: equiv.perm.nodup_of_pairwise_disjoint 0.000385 s: equiv.perm.is_cycle.equations._eqn_1 0.007873 s: equiv.perm.is_cycle.ne_one 0.003200 s: equiv.perm.exists_mem_support_of_mem_support_prod 0.001360 s: equiv.perm.disjoint_prod_list_of_disjoint 0.001975 s: equiv.perm.disjoint.mul_comm 0.000142 s: or_iff_right_iff_imp 0.006083 s: equiv.perm.is_cycle.exists_gpow_eq 0.005042 s: equiv.perm.is_cycle.exists_pow_eq 0.000073 s: ne_of_eq_of_ne 0.013662 s: equiv.perm.mem_list_cycles_iff 0.002797 s: equiv.perm.list_cycles_perm_list_cycles 0.002399 s: equiv.perm.cycle_type._match_1 0.001649 s: equiv.perm.cycle_type._match_2 0.000738 s: equiv.perm.cycle_type._proof_1 0.000700 s: equiv.perm.trunc_cycle_factors._proof_1 0.000036 s: imp_false 0.000190 s: equiv.perm.same_cycle 0.003384 s: equiv.perm.of_subtype._proof_1 0.003591 s: equiv.perm.of_subtype._proof_2 0.016269 s: equiv.perm.of_subtype._proof_3 0.051218 s: equiv.perm.of_subtype._proof_4 0.010779 s: equiv.perm.of_subtype 0.002960 s: equiv.perm.same_cycle.decidable_rel._match_1 0.004393 s: int.coe_nat_abs 0.001963 s: finset.le_card_of_inj_on_range 0.000584 s: order_of_le_card_univ 0.006067 s: equiv.perm.same_cycle.decidable_rel._match_2 0.000733 s: equiv.perm.same_cycle.decidable_rel._proof_1 0.000526 s: equiv.perm.same_cycle.decidable_rel 0.001522 s: equiv.perm.same_cycle_apply 0.000264 s: equiv.perm.cycle_of._proof_1 0.000469 s: equiv.perm.cycle_of 0.001259 s: equiv.perm.same_cycle_cycle 0.002104 s: equiv.perm.same_cycle.apply_eq_self_iff 0.003200 s: equiv.perm.cycle_of_apply 0.005806 s: equiv.perm.cycle_of_pow_apply_self 0.002758 s: inv_gpow 0.001946 s: equiv.perm.same_cycle_inv 0.000790 s: equiv.perm.same_cycle_inv_apply 0.003118 s: equiv.perm.cycle_of_inv 0.002776 s: equiv.perm.cycle_of_gpow_apply_self 0.001547 s: equiv.perm.cycle_of_apply_of_not_same_cycle 0.002091 s: equiv.perm.same_cycle.cycle_of_apply 0.001396 s: equiv.perm.same_cycle.refl 0.001435 s: equiv.perm.is_cycle_cycle_of 0.000547 s: fintype.decidable_eq_equiv_fintype._proof_1 0.000220 s: fintype.decidable_eq_equiv_fintype 0.002496 s: list.forall_of_forall_of_pairwise 0.001267 s: list.perm.prod_eq' 0.000412 s: equiv.perm.disjoint_prod_perm 0.004816 s: equiv.perm.cycle_factors_aux._match_1 0.000292 s: equiv.perm.cycle_of_apply_self 0.004976 s: equiv.perm.cycle_factors_aux._main 0.000348 s: equiv.perm.cycle_factors_aux 0.000536 s: equiv.perm.trunc_cycle_factors._proof_2 0.001299 s: equiv.perm.trunc_cycle_factors 0.000548 s: equiv.perm.cycle_type 0.000174 s: equiv.perm.is_three_cycle 0.001787 s: equiv.perm.cycle_induction_on 0.000692 s: equiv.perm.cycle_type.equations._eqn_1 0.001721 s: equiv.perm.cycle_type_eq 0.002170 s: equiv.perm.cycle_type_one 0.002569 s: equiv.perm.pow_apply_eq_of_apply_apply_eq_self 0.003365 s: equiv.perm.gpow_apply_eq_of_apply_apply_eq_self 0.007367 s: equiv.perm.is_cycle.eq_swap_of_apply_apply_eq_self 0.002514 s: equiv.perm.support_swap 0.005007 s: equiv.perm.card_support_swap 0.007785 s: equiv.perm.is_cycle_swap_mul_aux₁ 0.000913 s: equiv.mul_swap_eq_swap_mul 0.017410 s: equiv.perm.is_cycle_swap_mul_aux₂ 0.008658 s: equiv.perm.is_cycle.swap_mul 0.001930 s: units.neg_mul_neg 0.001824 s: equiv.perm.card_support_swap_mul 0.003373 s: equiv.perm.support_swap_mul_eq 0.019384 s: equiv.perm.is_cycle.sign 0.006586 s: equiv.perm.is_cycle.cycle_type 0.000740 s: list.prod_singleton 0.008585 s: equiv.perm.disjoint.cycle_type 0.009082 s: equiv.perm.sign_of_cycle_type 0.000228 s: equiv.perm.is_three_cycle.cycle_type 0.018461 s: equiv.perm.is_three_cycle.sign 0.000372 s: ε_NFA 0.000135 s: NFA.start 0.000093 s: NFA.accept 0.000146 s: NFA.to_ε_NFA 0.000065 s: nat.modeq.comm 0.000221 s: add_con.add_submonoid._proof_1 0.000407 s: add_con.add_submonoid._proof_2 0.003748 s: add_con.add_submonoid 0.000105 s: add_con.to_add_submonoid 0.000480 s: set.disjoint_right 0.000254 s: except.bind._match_1.equations._eqn_2 0.005241 s: polynomial.degree_lt 0.051848 s: lagrange.basis 0.009108 s: lagrange.interpolate 0.004942 s: polynomial.degree_lt.equations._eqn_1 0.021791 s: polynomial.mem_degree_lt 0.006296 s: lagrange.interpolate_empty 0.053422 s: lagrange.basis.equations._eqn_1 0.133471 s: lagrange.nat_degree_basis 0.069029 s: lagrange.degree_interpolate_lt 0.009088 s: lagrange.interpolate.equations._eqn_1 0.000253 s: polynomial.eval.is_semiring_hom 0.099206 s: lagrange.eval_basis_ne 0.000262 s: sub_ne_zero_of_ne 0.116668 s: lagrange.eval_basis_self 0.049977 s: lagrange.eval_interpolate 0.118811 s: lagrange.fun_equiv_degree_lt._match_1 0.020386 s: is_atom.of_is_atom_coe_Iic 0.001089 s: hahn_series.summable_family.cases_on 0.000605 s: hahn_series.summable_family.no_confusion_type 0.000968 s: hahn_series.summable_family.no_confusion 0.001746 s: hahn_series.summable_family.mk.inj 0.002809 s: category_theory.is_kernel_pair 0.001446 s: category_theory.is_kernel_pair.comm 0.001243 s: category_theory.is_kernel_pair.is_limit 0.030360 s: category_theory.is_kernel_pair.to_coequalizer._proof_3 0.005869 s: UniformSpace.completion_hom.equations._eqn_1 0.000755 s: prod.edist_eq 0.000452 s: valuation.supp._proof_1 0.001334 s: valuation.supp._proof_3 0.005294 s: valuation.supp 0.012045 s: valuation.map_add_supp 0.031735 s: valuation.on_quot_val._proof_1 0.025216 s: valuation.on_quot_val 0.000440 s: valuation.on_quot._proof_1 0.000342 s: valuation.on_quot._proof_2 0.000413 s: quotient.ind₂' 0.029545 s: valuation.on_quot._proof_3 0.014657 s: valuation.on_quot._proof_4 0.005669 s: valuation.on_quot 0.028800 s: valuation.supp_quot 0.051550 s: valuation.supp_quot_supp 0.000727 s: category_theory.triangulated.contractible_triangle 0.000334 s: category_theory.triangulated.contractible_triangle_obj₁ 0.010623 s: has_strict_fderiv_at.map_nhds_eq_of_equiv 0.034695 s: has_strict_deriv_at.map_nhds_eq 0.005145 s: library_note._2438380425 0.000110 s: dlist.inhabited 0.000117 s: dlist.inhabited.equations._eqn_1 0.000270 s: int.not_even_iff 0.000261 s: int.odd_iff_not_even 0.000805 s: int.odd_add 0.001926 s: int.odd_add' 0.000058 s: int.even.add_odd 0.001306 s: category_theory.is_equivalence.mk 0.000461 s: category_theory.functor.ess_image.witness 0.000213 s: category_theory.ess_surj.mem_ess_image 0.000145 s: category_theory.functor.obj_preimage 0.000412 s: category_theory.functor.ess_image.get_iso._proof_1 0.000397 s: category_theory.functor.ess_image.get_iso 0.000286 s: category_theory.functor.obj_obj_preimage_iso 0.002124 s: _private.1214677689.equivalence_inverse._proof_1 0.002771 s: _private.1214677689.equivalence_inverse._proof_2 0.001404 s: _private.1214677689.equivalence_inverse 0.000644 s: category_theory.iso.cancel_iso_inv_right 0.009233 s: category_theory.equivalence.equivalence_of_fully_faithfully_ess_surj._proof_1 0.007512 s: category_theory.equivalence.equivalence_of_fully_faithfully_ess_surj._proof_2 0.003307 s: category_theory.equivalence.equivalence_of_fully_faithfully_ess_surj 0.000189 s: with_zero.semiring._proof_13 0.003082 s: algebra.tensor_product.tensor_algebra_map._proof_1 0.016022 s: algebra.tensor_product.tmul_mul_tmul 0.005636 s: algebra.tensor_product.tensor_algebra_map._proof_2 0.007878 s: algebra.tensor_product.tensor_algebra_map._proof_3 0.007272 s: algebra.tensor_product.tensor_algebra_map._proof_4 0.002053 s: algebra.tensor_product.tensor_algebra_map 0.000713 s: algebra.tensor_product.tensor_product.algebra._proof_1 0.000611 s: algebra.tensor_product.tensor_product.algebra._proof_2 0.000603 s: algebra.tensor_product.tensor_product.algebra._proof_3 0.000816 s: algebra.tensor_product.tensor_product.algebra._proof_4 0.002568 s: algebra.tensor_product.tensor_algebra_map.equations._eqn_1 0.009942 s: algebra.tensor_product.tensor_product.algebra._proof_5 0.025325 s: algebra.tensor_product.tensor_product.algebra._proof_6 0.004716 s: algebra.tensor_product.tensor_product.algebra 0.005495 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product._proof_1 0.014720 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product._proof_2 0.007152 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product._proof_3 0.001600 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product._proof_4 0.002162 s: algebra.tensor_product.algebra_map_apply 0.003999 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product._proof_5 0.010890 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product 0.004576 s: finsupp.smul_comm_class 0.002213 s: add_monoid_algebra.smul_comm_class 0.002453 s: polynomial.smul_comm_class 0.004951 s: poly_equiv_tensor.to_fun_bilinear._proof_1 0.003181 s: poly_equiv_tensor.to_fun_bilinear._proof_2 0.000814 s: poly_equiv_tensor.to_fun 0.000636 s: poly_equiv_tensor.to_fun.equations._eqn_1 0.003802 s: polynomial.monomial_add 0.008900 s: poly_equiv_tensor.to_fun_linear_right._proof_1 0.012219 s: poly_equiv_tensor.to_fun_linear_right._proof_2 0.001650 s: poly_equiv_tensor.to_fun_linear_right 0.001815 s: poly_equiv_tensor.to_fun_linear_right.equations._eqn_1 0.018686 s: poly_equiv_tensor.to_fun_bilinear._proof_3 0.021608 s: poly_equiv_tensor.to_fun_bilinear._proof_4 0.004309 s: poly_equiv_tensor.to_fun_bilinear 0.002043 s: poly_equiv_tensor.to_fun_linear 0.001265 s: ite_mul_zero_left 0.000840 s: ite_mul_zero_right 0.002550 s: poly_equiv_tensor.to_fun_linear_mul_tmul_mul_aux_1 0.003536 s: poly_equiv_tensor.to_fun_linear_mul_tmul_mul_aux_2 0.032796 s: poly_equiv_tensor.to_fun_linear_mul_tmul_mul 0.018249 s: poly_equiv_tensor.to_fun_linear_algebra_map_tmul_one 0.139155 s: poly_equiv_tensor.to_fun_alg_hom 0.009543 s: algebra.tensor_product.include_left._proof_1 0.003636 s: algebra.tensor_product.include_left._proof_2 0.004733 s: algebra.tensor_product.include_left._proof_3 0.001834 s: algebra.tensor_product.include_left._proof_5 0.002696 s: algebra.tensor_product.include_left 0.041973 s: poly_equiv_tensor.inv_fun 0.040802 s: poly_equiv_tensor.inv_fun.equations._eqn_1 0.005183 s: poly_equiv_tensor.to_fun_linear.equations._eqn_1 0.003216 s: poly_equiv_tensor.to_fun_bilinear.equations._eqn_1 0.107334 s: poly_equiv_tensor.to_fun_alg_hom.equations._eqn_1 0.014334 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product_apply 0.127065 s: poly_equiv_tensor.to_fun_alg_hom_apply_tmul 0.010719 s: algebra.tensor_product.one_def 0.008021 s: algebra.tensor_product.tmul_pow 0.002293 s: algebra.tensor_product.include_left_apply 0.005467 s: tensor_product.tmul_sum 0.080059 s: poly_equiv_tensor.inv_fun_add 0.127675 s: poly_equiv_tensor.left_inv 0.092769 s: poly_equiv_tensor.inv_fun_monomial 0.097608 s: poly_equiv_tensor.right_inv 0.058010 s: poly_equiv_tensor.equiv 0.000662 s: lie_algebra.orthogonal.Pso 0.003782 s: lie_algebra.orthogonal.indefinite_diagonal 0.001771 s: lie_algebra.orthogonal.Pso.equations._eqn_1 0.001625 s: lie_algebra.orthogonal.indefinite_diagonal.equations._eqn_1 0.002990 s: matrix.diagonal_mul_diagonal 0.018254 s: lie_algebra.orthogonal.indefinite_diagonal_transform 0.000221 s: omega.int.preterm.sizeof 0.000046 s: omega.int.preterm.has_sizeof_inst 0.000161 s: omega.int.preform.sizeof 0.000013 s: omega.int.preform.has_sizeof_inst 0.000176 s: omega.int.preform.or.sizeof_spec 0.000379 s: invertible.cases_on 0.000179 s: invertible.no_confusion_type 0.000709 s: invertible.no_confusion 0.000344 s: invertible.mk.inj 0.143256 s: normed_linear_ordered_field.to_normed_field.equations._eqn_1 0.000065 s: complex.tan 0.000073 s: real.tan 0.020868 s: deriv_zero_of_not_differentiable_at 0.164843 s: filter.tendsto.not_tendsto 0.168888 s: filter.disjoint_iff 0.001633 s: Iio_mem_nhds 0.000121 s: set.Ico_self 0.004422 s: disjoint_nhds_at_top 0.000373 s: not_tendsto_nhds_of_tendsto_at_top 0.001063 s: metric.mem_closure_iff 0.090382 s: exists_int_pow_near' 0.319991 s: normed_field.exists_norm_lt 0.044042 s: normed_field.punctured_nhds_ne_bot 0.000070 s: complex.tan.equations._eqn_1 0.033408 s: complex.tan_conj 0.003986 s: complex.of_real_tan_of_real_re 0.000116 s: complex.of_real_tan 0.000079 s: complex.tan_eq_sin_div_cos 0.010456 s: filter.tendsto.at_top_of_const_mul 0.166132 s: filter.tendsto.const_mul_at_top 0.015046 s: filter.tendsto.at_top_mul_const 0.076072 s: filter.tendsto.at_top_mul 0.012669 s: filter.tendsto.mul_at_top 0.000431 s: continuous_within_at.norm 0.028521 s: complex.has_deriv_at_sin 0.032203 s: complex.differentiable_sin 0.029078 s: complex.continuous_sin 0.004920 s: filter.tendsto.inv_tendsto_zero 0.007531 s: tendsto_norm_nhds_within_zero 0.028857 s: complex.differentiable_cos 0.032361 s: complex.continuous_cos 0.009184 s: asymptotics.is_O_with.eq_zero_imp 0.000978 s: asymptotics.is_O.eq_zero_imp 0.000303 s: asymptotics.is_equivalent.is_o 0.001261 s: asymptotics.is_equivalent.is_O_symm 0.006894 s: has_fderiv_within_at.eventually_ne 0.003670 s: has_fderiv_at.eventually_ne 0.093117 s: has_deriv_at.eventually_ne 0.117292 s: complex.tendsto_abs_tan_of_cos_eq_zero 0.019000 s: real.tendsto_abs_tan_of_cos_eq_zero 0.000389 s: continuous_at.norm 0.000271 s: tendsto_inv' 0.000366 s: filter.tendsto.inv' 0.207951 s: has_strict_deriv_at_inv 0.173287 s: has_strict_deriv_at.div 0.119332 s: complex.has_strict_deriv_at_tan 0.038552 s: complex.has_deriv_at_tan 0.091901 s: real.has_deriv_at_tan 0.141663 s: real.continuous_at_tan 0.133518 s: real.differentiable_at_tan 0.109818 s: real.deriv_tan 0.000427 s: cInf_lt_of_lt 0.000085 s: Set.mk 0.000188 s: is_seq_compact 0.000362 s: seq_compact_space 0.000077 s: seq_compact_space.seq_compact_univ 0.023178 s: category_theory.functor.comp.additive 0.000253 s: category_theory.Mat_.cases_on 0.022456 s: category_theory.functor.map_Mat_comp._proof_1 0.000996 s: category_theory.eq_to_iso_refl 0.000362 s: category_theory.iso.refl_hom 0.011281 s: category_theory.functor.map_Mat__map 0.001867 s: category_theory.Mat_.id_apply 0.086436 s: category_theory.functor.map_Mat_comp._proof_2 0.013465 s: category_theory.functor.map_Mat_comp 0.048745 s: category_theory.functor.map_Mat_comp_inv_app 0.000068 s: num.prime 0.011609 s: topological_add_group.to_uniform_space._proof_1 0.002614 s: topological_add_group.to_uniform_space._proof_2 0.005063 s: topological_add_group.to_uniform_space._proof_3 0.021531 s: topological_add_group.to_uniform_space._proof_4 0.003700 s: topological_add_group.to_uniform_space 0.000785 s: uniformity_eq_comap_nhds_zero' 0.005202 s: to_uniform_space_eq 0.002589 s: nsmul_pos 0.012970 s: gsmul_pos 0.020097 s: gsmul_lt_gsmul 0.004206 s: nsmul_nonneg 0.012306 s: gsmul_nonneg 0.020363 s: gsmul_le_gsmul 0.020252 s: gsmul_le_gsmul_iff 0.132759 s: linear_ordered_add_comm_group.exists_int_smul_near_of_pos 0.037201 s: linear_ordered_add_comm_group.exists_int_smul_near_of_pos' 0.003750 s: quadratic_form.sizeof 0.002957 s: quadratic_form.mk.sizeof_spec 0.091006 s: has_deriv_within_at.log 0.000343 s: add_order_of 0.000915 s: add_subgroup.copy._proof_1 0.010160 s: add_subgroup.copy._proof_2 0.000483 s: add_subgroup.copy._proof_3 0.000596 s: add_subgroup.copy 0.002525 s: add_subgroup.coe_map 0.000588 s: add_subgroup.coe_top 0.004126 s: add_monoid_hom.range._proof_1 0.000377 s: add_monoid_hom.range 0.000150 s: gmultiples_hom._proof_1 0.002174 s: gmultiples_hom._proof_2 0.001892 s: gmultiples_hom 0.000075 s: add_subgroup.gmultiples._proof_1 0.041511 s: add_subgroup.gmultiples 0.000050 s: multiplicative.fintype 0.017029 s: fin_equiv_gmultiples 0.007519 s: fin_equiv_gmultiples.equations._eqn_1 0.000162 s: TopCommRing.cases_on 0.000165 s: TopCommRing.no_confusion_type 0.000286 s: TopCommRing.no_confusion 0.000284 s: TopCommRing.mk.inj 0.000762 s: TopCommRing.mk.inj_arrow 0.068429 s: unit_interval.has_zero._proof_1 0.000348 s: unit_interval.has_zero 0.073123 s: unit_interval.has_one._proof_1 0.000311 s: unit_interval.has_one 0.001017 s: path 0.000266 s: path.to_fun 0.000104 s: path.has_coe_to_fun 0.010599 s: path.cases_on 0.006476 s: path.ext 0.000179 s: ulift.nonempty_fin_lin_ord._proof_2 0.000204 s: monoid_algebra.ring._proof_1 0.000405 s: monoid_algebra.ring._proof_2 0.000139 s: monoid_algebra.ring._proof_3 0.000450 s: monoid_algebra.ring._proof_4 0.000303 s: monoid_algebra.ring._proof_5 0.001660 s: monoid_algebra.add_group 0.000121 s: monoid_algebra.ring._proof_6 0.000092 s: monoid_algebra.ring._proof_7 0.000115 s: monoid_algebra.ring._proof_8 0.000280 s: monoid_algebra.ring._proof_9 0.000308 s: monoid_algebra.ring._proof_10 0.000663 s: monoid_algebra.ring._proof_11 0.000131 s: monoid_algebra.ring._proof_12 0.000215 s: monoid_algebra.ring._proof_13 0.000152 s: monoid_algebra.ring._proof_14 0.000162 s: monoid_algebra.ring._proof_15 0.000133 s: monoid_algebra.ring._proof_16 0.000243 s: monoid_algebra.ring._proof_17 0.000289 s: monoid_algebra.ring._proof_18 0.000139 s: monoid_algebra.ring._proof_19 0.000146 s: monoid_algebra.ring._proof_20 2.051757 s: monoid_algebra.ring 0.000289 s: monoid_algebra.comm_ring._proof_3 0.000382 s: category_theory.limits.has_zero_object.category_theory.mono 0.000257 s: category_theory.limits.mono_factorisation_zero._proof_1 0.000865 s: category_theory.limits.mono_factorisation_zero._proof_2 0.000776 s: category_theory.limits.mono_factorisation_zero 0.000909 s: category_theory.limits.mono_factorisation_zero.equations._eqn_1 0.000134 s: mv_power_series.inhabited 0.000073 s: power_series.inhabited 0.000095 s: power_series.inhabited.equations._eqn_1 0.000686 s: category_theory.thin_skeleton.map._match_1 0.000224 s: category_theory.thin_skeleton.map._proof_1 0.000185 s: category_theory.thin_skeleton.map._proof_2 0.000222 s: category_theory.thin_skeleton.map._proof_3 0.001416 s: category_theory.thin_skeleton.map._proof_4 0.000244 s: category_theory.thin_skeleton.map._proof_5 0.000130 s: category_theory.thin_skeleton.map._proof_6 0.001701 s: category_theory.thin_skeleton.map._proof_7 0.003642 s: category_theory.thin_skeleton.map._proof_8 0.003960 s: category_theory.thin_skeleton.map._proof_9 0.003048 s: category_theory.thin_skeleton.map 0.007455 s: category_theory.thin_skeleton.comp_to_thin_skeleton 0.001404 s: category_theory.lax_monoidal_functor.comp._proof_1 0.000993 s: category_theory.lax_monoidal_functor.comp._proof_2 0.024952 s: category_theory.lax_monoidal_functor.comp._proof_3 0.029608 s: category_theory.lax_monoidal_functor.comp._proof_4 0.016608 s: category_theory.lax_monoidal_functor.comp._proof_5 0.017213 s: category_theory.lax_monoidal_functor.comp._proof_6 0.013666 s: category_theory.lax_monoidal_functor.comp 0.006161 s: category_theory.lax_monoidal_functor.μ_natural' 0.001983 s: category_theory.monoidal_functor.comp._proof_1 0.005109 s: category_theory.lax_monoidal_functor.associativity' 0.002254 s: category_theory.monoidal_functor.comp._proof_2 0.007123 s: category_theory.lax_monoidal_functor.left_unitality' 0.002353 s: category_theory.monoidal_functor.comp._proof_3 0.003961 s: category_theory.lax_monoidal_functor.right_unitality' 0.002123 s: category_theory.monoidal_functor.comp._proof_4 0.007974 s: category_theory.monoidal_functor.comp._proof_5 0.009912 s: category_theory.monoidal_functor.comp._proof_6 0.006095 s: category_theory.monoidal_functor.comp 0.000504 s: category_theory.discrete.monoidal_functor._proof_1 0.000780 s: category_theory.discrete.monoidal_functor._proof_2 0.001865 s: category_theory.discrete.monoidal_functor._proof_3 0.000303 s: category_theory.discrete.monoidal_functor._proof_4 0.000327 s: category_theory.discrete.monoidal_functor._proof_5 0.012004 s: category_theory.discrete.monoidal_functor._proof_6 0.011182 s: category_theory.discrete.monoidal_functor._proof_7 0.008967 s: category_theory.discrete.monoidal_functor._proof_8 0.008918 s: category_theory.discrete.monoidal_functor._proof_9 0.002087 s: category_theory.discrete.category_theory.is_iso 0.039129 s: category_theory.discrete.monoidal_functor._proof_10 0.039725 s: category_theory.discrete.monoidal_functor._proof_11 0.043859 s: category_theory.discrete.monoidal_functor 0.030144 s: category_theory.discrete.monoidal_functor_comp._proof_3 0.006367 s: Mon.colimits.prequotient 0.022728 s: Mon.colimits.relation 0.000505 s: Mon.colimits.colimit_setoid._proof_1 0.000332 s: Mon.colimits.colimit_setoid 0.000103 s: Mon.colimits.colimit_type 0.000287 s: Mon.colimits.cocone_fun 0.004318 s: category_theory.limits.binary_fan.right_unitor_hom 0.000058 s: string.mk_iterator._main 0.000008 s: string.mk_iterator 0.000110 s: matrix.col._main 0.000052 s: matrix.col 0.000057 s: matrix.row 0.000645 s: matrix.transpose_col 0.000290 s: filter.germ.semiring._proof_1 0.000246 s: filter.germ.semiring._proof_2 0.000749 s: filter.germ.semiring._proof_4 0.000368 s: filter.germ.semiring._proof_5 0.000165 s: filter.germ.semiring._proof_6 0.000209 s: filter.germ.semiring._proof_7 0.000182 s: filter.germ.semiring._proof_8 0.000156 s: filter.germ.semiring._proof_9 0.000348 s: filter.germ.semiring._proof_10 0.000295 s: filter.germ.semiring._proof_11 0.002644 s: filter.germ.mul_zero_class._proof_1 0.001974 s: filter.germ.mul_zero_class._proof_2 0.000265 s: filter.germ.mul_zero_class 0.000205 s: filter.germ.semiring._proof_12 0.000146 s: filter.germ.semiring._proof_13 0.000232 s: filter.germ.semiring._proof_14 0.000157 s: filter.germ.semiring._proof_15 0.005490 s: filter.germ.semiring 0.000352 s: filter.germ.coe_ring_hom._proof_1 0.000235 s: filter.germ.coe_add_hom._proof_1 0.000198 s: filter.germ.coe_add_hom._proof_2 0.001608 s: filter.germ.coe_add_hom 0.000397 s: filter.germ.coe_ring_hom._proof_3 0.000255 s: filter.germ.coe_ring_hom._proof_4 0.018872 s: filter.germ.coe_ring_hom 0.019494 s: filter.germ.coe_ring_hom.equations._eqn_1 0.000134 s: rel.inv 0.000075 s: rel.preimage 0.000094 s: pfun.preimage 0.004090 s: Compactum.compact_space 0.001382 s: Compactum.t2_space 0.001517 s: Compactum.quiver.hom.has_coe_to_fun 0.000538 s: ultrafilter.coe_map 0.006046 s: Compactum.str_hom_commute 0.001441 s: Compactum.continuous_of_hom 0.002105 s: Compactum_to_CompHaus._proof_1 0.002408 s: Compactum_to_CompHaus._proof_2 0.005150 s: Compactum_to_CompHaus 0.002349 s: category_theory.of_type_monad_η_app 0.000202 s: category_theory.types_id_apply 0.003578 s: Compactum.of_topological_space._proof_1 0.000845 s: is_open_iff_ultrafilter 0.009087 s: ultrafilter.le_nhds_Lim 0.008004 s: Compactum.of_topological_space._proof_2 0.001153 s: Compactum.of_topological_space 0.000777 s: ultrafilter.Lim_eq_iff_le_nhds 0.002276 s: is_open_iff_ultrafilter' 0.009387 s: Compactum_to_CompHaus.iso_of_topological_space._proof_4 0.001417 s: linear_map.sizeof 0.000182 s: linear_map.has_sizeof_inst 0.002563 s: derivation.sizeof 0.000170 s: measure_theory.simple_func.has_zero.equations._eqn_1 0.004202 s: nat.even_add 0.000342 s: nat.odd_add 0.000099 s: not_iff_self 0.000424 s: nat.ne_of_odd_add 0.000381 s: list.ilast'._main 0.000026 s: list.ilast' 0.000046 s: list.ilast'._sunfold 0.000578 s: topological_space.opens.subset_coe 0.001496 s: norm_sub_pow_two_real 0.033483 s: submonoid.closure_Union 0.000290 s: submonoid.closure_eq 0.037914 s: submonoid.mem_supr_of_directed 0.008327 s: submonoid.mem_Sup_of_directed_on 0.002361 s: submonoid.coe_Sup_of_directed_on 0.000269 s: filter.countable_filter_basis.cases_on 0.000339 s: is_compl.compl_eq_iff 0.000295 s: compl_eq_top 0.004043 s: set.compl_univ_iff 0.000322 s: add_monoid_hom.add_comm_group._proof_1 0.000266 s: add_monoid_hom.add_comm_group._proof_2 0.000202 s: add_monoid_hom.add_comm_group._proof_3 0.000722 s: add_monoid_hom.add_comm_group._proof_4 0.000423 s: add_monoid_hom.add_comm_group._proof_5 0.003647 s: add_monoid_hom.has_sub._proof_1 0.000477 s: add_monoid_hom.has_sub 0.008175 s: add_monoid_hom.add_comm_group._proof_6 0.011078 s: add_monoid_hom.add_comm_group._proof_7 0.000429 s: add_monoid_hom.add_comm_group._proof_8 0.007240 s: add_monoid_hom.add_comm_group 0.022135 s: AddCommGroup.category_theory.preadditive._proof_1 0.014982 s: AddCommGroup.category_theory.preadditive._proof_2 0.016899 s: AddCommGroup.category_theory.preadditive 0.003957 s: category_theory.equivalence.ess_surj_of_equivalence 0.000901 s: category_theory.normal_epi.W 0.013323 s: category_theory.equivalence.full_of_equivalence._proof_1 0.004626 s: category_theory.equivalence.full_of_equivalence 0.001018 s: category_theory.normal_epi.g 0.001043 s: category_theory.normal_epi.w 0.003408 s: category_theory.equivalence_reflects_normal_epi._proof_1 0.000901 s: category_theory.limits.reflects_colimits_of_shape 0.000325 s: category_theory.limits.reflects_colimits_of_shape.reflects_colimit 0.000211 s: category_theory.limits.reflects_colimit_of_reflects_colimits_of_shape 0.000680 s: category_theory.limits.reflects_colimits 0.000275 s: category_theory.limits.reflects_colimits.reflects_colimits_of_shape 0.000122 s: category_theory.limits.reflects_colimits_of_shape_of_reflects_colimits 0.006301 s: category_theory.limits.cocones.functoriality_obj_ι_app 0.011513 s: category_theory.limits.cocones.functoriality_full._proof_1 0.032289 s: category_theory.limits.cocones.functoriality_full._proof_2 0.010062 s: category_theory.limits.cocones.functoriality_full 0.004946 s: category_theory.limits.cocone_morphism.mk.inj_arrow 0.012323 s: category_theory.limits.cocones.functoriality_faithful 0.004357 s: category_theory.limits.fully_faithful_reflects_colimits._proof_1 0.002124 s: category_theory.limits.fully_faithful_reflects_colimits 0.003370 s: category_theory.equivalence_reflects_normal_epi._proof_2 0.003030 s: category_theory.limits.comp_nat_iso._match_1 0.022851 s: category_theory.limits.comp_nat_iso._proof_1 0.003438 s: category_theory.limits.comp_nat_iso 0.002079 s: category_theory.limits.iso_of_π._proof_1 0.008537 s: category_theory.equivalence_reflects_normal_epi._proof_3 0.001287 s: category_theory.equivalence_reflects_normal_epi._proof_4 0.003538 s: category_theory.limits.is_cokernel.of_iso_comp._proof_1 0.003496 s: category_theory.equivalence_reflects_normal_epi._proof_5 0.003914 s: category_theory.limits.is_cokernel.of_iso_comp._proof_2 0.003818 s: category_theory.limits.is_cokernel.of_iso_comp._proof_3 0.002482 s: category_theory.limits.cofork.of_π_ι_app 0.023317 s: category_theory.limits.is_cokernel.of_iso_comp._proof_4 0.028975 s: category_theory.limits.is_cokernel.of_iso_comp._proof_5 0.014220 s: category_theory.limits.is_cokernel.of_iso_comp 0.004367 s: category_theory.equivalence_reflects_normal_epi._proof_6 0.004479 s: category_theory.normal_epi.is_colimit 0.000782 s: category_theory.limits.of_π_congr._proof_1 0.000516 s: category_theory.limits.of_π_congr._proof_2 0.016253 s: category_theory.limits.of_π_congr._proof_3 0.005985 s: category_theory.limits.of_π_congr 0.003501 s: category_theory.equivalence_reflects_normal_epi._proof_7 0.001897 s: category_theory.equivalence_reflects_normal_epi._proof_8 0.001590 s: category_theory.limits.iso_of_π._proof_2 0.002874 s: category_theory.limits.cokernel_cofork.app_zero 0.010545 s: category_theory.limits.iso_of_π._proof_3 0.007296 s: category_theory.limits.iso_of_π 0.030405 s: category_theory.equivalence_reflects_normal_epi 0.005091 s: Module.forget₂_AddCommGroup_full._proof_1 0.001264 s: semimodule.cases_on 0.000715 s: distrib_mul_action.cases_on 0.000492 s: mul_action.cases_on 0.000145 s: has_scalar.cases_on 0.018000 s: semimodule_ext 0.002929 s: add_comm_group.int_module.subsingleton 0.011040 s: Module.forget₂_AddCommGroup_full._proof_2 0.069167 s: Module.forget₂_AddCommGroup_full._proof_3 0.021450 s: Module.forget₂_AddCommGroup_full 0.000207 s: Module.forget₂_AddCommGroup_is_equivalence._proof_1 0.000284 s: Module.forget₂_AddCommGroup_is_equivalence 0.003239 s: Module.normal_epi._proof_1 0.004620 s: category_theory.limits.is_cokernel.cokernel_iso._proof_2 0.015731 s: category_theory.limits.is_cokernel.cokernel_iso._proof_3 0.008302 s: category_theory.limits.is_cokernel.cokernel_iso 0.004919 s: linear_map.range_mkq_comp 0.001897 s: Module.cokernel_cocone._proof_1 0.005546 s: Module.cokernel_cocone 0.001354 s: linear_map.ker_zero 0.001741 s: linear_map.ker_eq_top 0.005205 s: linear_map.range_le_ker_iff 0.005406 s: Module.cokernel_is_colimit._proof_1 0.007464 s: Module.cokernel_is_colimit._proof_2 0.001917 s: category_theory.faithful_reflects_epi 0.000312 s: forall_iff_forall_surj 0.001668 s: category_theory.epi_iff_surjective 0.001771 s: category_theory.concrete_category.epi_of_surjective 0.003490 s: Module.epi_of_range_eq_top 0.016893 s: Module.cokernel_is_colimit._proof_3 0.010296 s: Module.cokernel_is_colimit 0.002208 s: Module.id_apply 0.004882 s: linear_equiv.to_Module_iso'._proof_1 0.003644 s: linear_equiv.to_Module_iso'._proof_2 0.001497 s: linear_equiv.to_Module_iso' 0.000218 s: quot.congr._proof_1 0.000523 s: quot.congr._proof_2 0.001962 s: quot.congr._proof_3 0.002073 s: quot.congr._proof_4 0.001128 s: quot.congr 0.000316 s: quotient.congr 0.000662 s: submodule.quot_equiv_of_eq._proof_1 0.003439 s: submodule.quot_equiv_of_eq._proof_2 0.003092 s: submodule.quot_equiv_of_eq._proof_3 0.000863 s: submodule.quot_equiv_of_eq._proof_4 0.000776 s: submodule.quot_equiv_of_eq._proof_5 0.002084 s: submodule.quot_equiv_of_eq 0.002007 s: Module.normal_epi._proof_2 0.002612 s: linear_map.zero_comp 0.003020 s: linear_map.range_eq_top_of_cancel 0.007841 s: Module.range_eq_top_of_epi 0.043244 s: Module.normal_epi._proof_3 0.027875 s: Module.normal_epi 0.003456 s: category_theory.left_adjoint_preserves_epi 0.000799 s: AddCommGroup.normal_epi._proof_1 0.000847 s: AddCommGroup.normal_epi 0.000403 s: is_subring.drec 0.000075 s: witt_vector.map_fun 0.009975 s: witt_vector.peval 0.000114 s: witt_vector.eval 0.000103 s: witt_structure_int._proof_1 0.000427 s: mv_polynomial.bind₁ 0.000867 s: witt_polynomial 0.001057 s: X_in_terms_of_W._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001300 s: X_in_terms_of_W._main._pack 0.000299 s: X_in_terms_of_W._main 0.000181 s: X_in_terms_of_W 0.000331 s: invertible_of_nonzero 0.010221 s: invertible_of_pos._proof_1 0.000913 s: invertible_of_pos 0.000125 s: witt_structure_rat._proof_1 0.097236 s: witt_structure_rat 0.058819 s: witt_structure_int 0.034226 s: witt_vector.witt_add 0.000414 s: witt_vector.has_add 0.000132 s: witt_vector.cases_on 0.000097 s: witt_vector.no_confusion_type 0.000239 s: witt_vector.no_confusion 0.000124 s: witt_vector.mk.inj 0.000178 s: witt_vector.mk.inj_eq 0.005792 s: witt_vector.ext 0.003714 s: mv_polynomial.map_aeval 0.049151 s: witt_vector.map_fun.add 0.000030 s: punit.complete_boolean_algebra._proof_24 0.000206 s: measure_theory.simple_func.lattice._proof_1 0.000136 s: measure_theory.simple_func.lattice._proof_2 0.005624 s: measure_theory.simple_func.lattice._proof_3 0.000369 s: measure_theory.simple_func.lattice._proof_4 0.000519 s: measure_theory.simple_func.lattice._proof_5 0.000509 s: measure_theory.simple_func.lattice._proof_7 0.000267 s: measure_theory.simple_func.has_inf 0.000197 s: measure_theory.simple_func.semilattice_inf._proof_1 0.000185 s: measure_theory.simple_func.semilattice_inf._proof_2 0.000346 s: measure_theory.simple_func.semilattice_inf._proof_3 0.000394 s: measure_theory.simple_func.semilattice_inf._proof_4 0.000372 s: measure_theory.simple_func.semilattice_inf._proof_5 0.000357 s: measure_theory.simple_func.semilattice_inf._proof_6 0.001509 s: measure_theory.simple_func.semilattice_inf._proof_7 0.002719 s: measure_theory.simple_func.semilattice_inf 0.000526 s: measure_theory.simple_func.lattice._proof_8 0.000427 s: measure_theory.simple_func.lattice._proof_9 0.000517 s: measure_theory.simple_func.lattice._proof_10 0.008690 s: measure_theory.simple_func.lattice 0.000588 s: measure_theory.simple_func.bounded_lattice._proof_10 0.001907 s: continuous_linear_equiv.differentiable_at 0.000257 s: eq_of_abs_sub_eq_zero 0.000233 s: eq_of_abs_sub_nonpos 0.010103 s: linear_map.applyₗ'._proof_3 0.000048 s: stream.corec_on 0.000103 s: stream.inits_core._match_1 0.000136 s: stream.inits_core._match_2 0.000073 s: stream.inits_core 0.000048 s: stream.inits 0.000105 s: stream.inits.equations._eqn_1 0.004501 s: dist_partial_sum_le_of_le_geometric 38.592329 s: cauchy_seq_finset_of_geometric_bound 0.003147 s: lie_module.lower_central_series 0.000076 s: CommGroup.of 0.000031 s: CommGroup.has_one 0.015761 s: category_theory.limits.cocone.op._proof_1 0.004070 s: category_theory.limits.cocone.op 0.020776 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_1 0.044486 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_2 0.023921 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_3 0.014094 s: category_theory.limits.cone.unop._proof_1 0.004417 s: category_theory.limits.cone.unop 0.012205 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_4 0.016771 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_5 0.020171 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_6 0.086316 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_7 0.208144 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_8 0.024693 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_9 0.102650 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_10 0.373694 s: category_theory.limits.cocone_equivalence_op_cone_op._proof_11 0.198909 s: category_theory.limits.cocone_equivalence_op_cone_op 0.195250 s: category_theory.limits.cocone_equivalence_op_cone_op.equations._eqn_1 0.000062 s: fact.succ.pos 0.019218 s: tendsto_right_nhds_uniformity 0.005801 s: mem_nhds_uniformity_iff_left 0.002404 s: uniform.tendsto_nhds_left 0.000644 s: uniform.continuous_within_at_iff'_left 0.004256 s: continuous_within_at_of_locally_uniform_approx_of_continuous_within_at 0.001491 s: continuous_on_of_locally_uniform_approx_of_continuous_on 0.002925 s: continuous_of_locally_uniform_approx_of_continuous 0.000021 s: tactic.itauto.prop.true.inj 0.000023 s: tactic.itauto.prop.true.inj_arrow 0.000786 s: category_theory.creates_colimits_of_shape 0.000415 s: category_theory.creates_colimits_of_shape.cases_on 0.000273 s: category_theory.creates_colimits_of_shape.no_confusion_type 0.001404 s: category_theory.creates_colimits_of_shape.no_confusion 0.000977 s: category_theory.creates_colimits_of_shape.mk.inj 0.000045 s: option.inhabited 0.000089 s: turing.TM2to1.Γ' 0.000127 s: turing.TM2to1.Γ'.inhabited 0.000390 s: turing.pointed_map 0.000238 s: turing.pointed_map.f 0.000109 s: turing.pointed_map.has_coe_to_fun 0.001702 s: list.map_repeat 0.000283 s: turing.pointed_map.map_pt' 0.000447 s: turing.pointed_map.map_pt 0.002295 s: turing.list_blank.map._proof_1 0.000395 s: turing.list_blank.map 0.000218 s: turing.TM2to1.add_bottom._proof_1 0.000776 s: turing.TM2to1.add_bottom 0.001059 s: turing.TM2to1.add_bottom.equations._eqn_1 0.000902 s: turing.TM2to1.add_bottom_head_fst 0.007375 s: with_top.conditionally_complete_lattice._proof_14 0.001404 s: tactic_doc._3156252036 0.000474 s: CommMon.limit_cone._proof_2 0.002647 s: category_theory.yoneda_obj_map 0.005121 s: category_theory.sieve.sieve_of_subfunctor._proof_1 0.002351 s: category_theory.sieve.sieve_of_subfunctor 0.001976 s: category_theory.sieve.sieve_of_subfunctor.equations._eqn_1 0.000672 s: frontier_Iic_subset 0.010891 s: frontier_Ici_subset 0.002283 s: normed_group_hom 0.001758 s: normed_group_hom.to_fun 0.000087 s: normed_group_hom.has_coe_to_fun 0.000254 s: normed_group_hom.op_norm 0.000075 s: normed_group_hom.has_op_norm 0.000254 s: add_monoid_hom.mk_normed_group_hom._proof_1 0.000630 s: add_monoid_hom.mk_normed_group_hom._proof_2 0.000781 s: add_monoid_hom.mk_normed_group_hom 0.001183 s: normed_group_hom.bounds_bdd_below 0.001169 s: normed_group_hom.op_norm_le_bound 0.011279 s: normed_group_hom.mk_normed_group_hom_norm_le' 0.004064 s: linear_equiv.comp_coe 0.001963 s: submodule.linear_proj_of_is_compl 0.002399 s: submodule.linear_proj_of_is_compl.equations._eqn_1 0.008541 s: submodule.coe_prod_equiv_of_is_compl' 0.008455 s: submodule.prod_equiv_of_is_compl_symm_apply_left 0.001565 s: linear_map.fst_apply 0.007035 s: submodule.linear_proj_of_is_compl_apply_left 0.007026 s: submodule.linear_proj_of_is_compl_comp_subtype 0.000908 s: add_equiv.map_eq_zero_iff 0.000504 s: add_equiv.map_ne_zero_iff 0.001222 s: linear_equiv.map_ne_zero_iff 0.021368 s: category_theory.limits.cone.extensions._proof_1 0.007723 s: category_theory.limits.cone.extensions 0.008422 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence_unit_iso_inv_app 0.000254 s: filter.is_countably_generated.equations._eqn_1 0.002139 s: multiset.coe_countp 0.000492 s: multiset.coe_count 0.000163 s: prod.left_cancel_semigroup._proof_1 0.001466 s: prod.left_cancel_semigroup._proof_2 0.000342 s: prod.left_cancel_semigroup 0.000267 s: prod.left_cancel_monoid._proof_1 0.000157 s: prod.left_cancel_monoid._proof_2 0.000149 s: prod.left_cancel_monoid._proof_3 0.000170 s: prod.left_cancel_monoid._proof_4 0.000331 s: prod.left_cancel_monoid._proof_5 0.000331 s: prod.left_cancel_monoid._proof_6 0.002200 s: prod.left_cancel_monoid 0.000177 s: prod.cancel_comm_monoid._proof_1 0.000356 s: prod.cancel_comm_monoid._proof_2 0.000267 s: prod.cancel_comm_monoid._proof_3 0.000139 s: prod.cancel_comm_monoid._proof_4 0.000380 s: prod.cancel_comm_monoid._proof_5 0.000266 s: prod.cancel_comm_monoid._proof_6 0.000239 s: prod.cancel_comm_monoid._proof_7 0.003408 s: prod.cancel_comm_monoid 0.000496 s: prod.ordered_cancel_comm_monoid._proof_5 0.000394 s: asymptotics.is_O.norm_left 0.001000 s: monoid_hom.eq_mlocus._proof_1 0.001310 s: monoid_hom.eq_mlocus._proof_2 0.000407 s: monoid_hom.eq_mlocus 0.000571 s: ring_hom.eq_locus._proof_1 0.000578 s: ring_hom.eq_locus._proof_2 0.000371 s: add_monoid_hom.eq_locus._proof_2 0.000656 s: add_monoid_hom.eq_locus._proof_3 0.000874 s: add_monoid_hom.eq_locus 0.021980 s: ring_hom.eq_locus._proof_3 0.029495 s: ring_hom.eq_locus._proof_4 0.026238 s: ring_hom.eq_locus._proof_5 0.014261 s: ring_hom.eq_locus 0.000367 s: wseq.to_list._match_1 0.000164 s: wseq.to_list._match_2 0.000081 s: wseq.to_list 0.000191 s: wseq.is_finite 0.000087 s: wseq.is_finite.rec_on 0.004583 s: formal_multilinear_series.apply_composition 0.002557 s: formal_multilinear_series.apply_composition.equations._eqn_1 0.000274 s: subgroup.to_ordered_comm_group._proof_1 0.000240 s: parser.unfailing.ex' 0.000114 s: parser.exists_done 0.001268 s: parser.unfailing.of_fail 0.000253 s: mk_buffer 0.000047 s: buffer.nil 0.001127 s: parser.unfailing.failure 0.000328 s: parser.unfailing.guard 0.003333 s: CommMon_ 0.002837 s: category_theory.braided_category.braiding_naturality 0.013875 s: category_theory.monoidal.functor_category_braided._proof_1 0.089041 s: category_theory.monoidal.functor_category_braided._proof_2 0.017568 s: category_theory.braided_category.hexagon_forward 0.085229 s: category_theory.monoidal.functor_category_braided._proof_3 0.016170 s: category_theory.braided_category.hexagon_reverse 0.065691 s: category_theory.monoidal.functor_category_braided._proof_4 0.020572 s: category_theory.monoidal.functor_category_braided 0.001333 s: CommMon_.to_Mon_ 0.000278 s: CommMon_.category_theory.category 0.002943 s: Mon_.one_mul 0.001631 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_1 0.002263 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_2 0.002383 s: Mon_.mul_assoc 0.001430 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_3 0.001200 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_4 0.001184 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_5 0.001122 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_6 0.001148 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_7 0.001755 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_8 0.002908 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_9 0.004577 s: category_theory.monoidal.tensor_unit_map 0.070900 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_10 0.017290 s: category_theory.monoidal.tensor_obj_map 0.061846 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_11 0.055700 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_12 0.093048 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_13 0.011189 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_14 0.002718 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_15 0.002832 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_16 0.001550 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_17 0.002434 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_18 0.001995 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_19 0.001418 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_20 0.001343 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_21 0.001534 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_22 0.053656 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_23 0.067758 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_24 0.055297 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_25 0.095561 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_26 0.011405 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_27 0.002984 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_28 0.002945 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_29 0.003044 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_30 0.001252 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_31 0.001463 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_32 0.001471 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_33 0.001401 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_34 0.001212 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_35 0.053792 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_36 0.062906 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_37 0.058576 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_38 0.093332 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_39 0.011685 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_40 0.003508 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_41 0.403666 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_42 0.653595 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_43 0.767046 s: category_theory.monoidal.Mon_functor_category_equivalence.functor._proof_44 0.271107 s: category_theory.monoidal.Mon_functor_category_equivalence.functor 0.034075 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_1 0.010581 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_2 0.041087 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_3 0.042932 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_4 0.040049 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_5 0.011953 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_6 0.011577 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_7 0.045014 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_8 0.044269 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_9 0.038832 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_10 0.012312 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_11 0.011369 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_12 0.042964 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_13 0.045822 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_14 0.040761 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_15 0.006955 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_16 0.124877 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_17 0.148850 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_18 0.118759 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_19 0.162399 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse._proof_20 0.118123 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse 0.024886 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_1 0.031313 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_2 0.033783 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_3 0.019866 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_4 0.030795 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_5 0.039412 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_6 0.186175 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_7 0.214420 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_8 0.022842 s: Mon_.comp_hom' 0.050622 s: category_theory.monoidal.Mon_functor_category_equivalence.inverse_map_hom_app 0.169627 s: category_theory.monoidal.Mon_functor_category_equivalence.functor_map_app_hom 0.708448 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso._proof_9 0.047420 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso 0.020240 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_1 0.012910 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_2 0.010786 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_3 0.013941 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_4 0.077395 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_5 0.085671 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_6 0.182917 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_7 0.383334 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso._proof_8 0.036719 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso 3.019596 s: category_theory.monoidal.Mon_functor_category_equivalence._proof_1 0.009224 s: category_theory.monoidal.Mon_functor_category_equivalence 0.004131 s: Mon_.one_mul' 0.002697 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_1 0.001960 s: Mon_.mul_one' 0.001531 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_2 0.002570 s: Mon_.mul_assoc' 0.001574 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_3 0.001250 s: CommMon_.mul_comm 0.001589 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_4 0.001141 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_5 0.001369 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_6 0.001296 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_7 0.001316 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_8 0.001153 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_9 0.001255 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_10 0.001122 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_11 0.001308 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_12 0.001376 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_13 0.001081 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_14 0.001090 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_15 0.001440 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_16 0.000926 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_17 0.000986 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_18 0.464105 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_19 0.633239 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_20 0.712367 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor._proof_21 0.306350 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor 0.327992 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor.equations._eqn_1 0.029587 s: rel_iso.group._proof_4 0.008809 s: topological_fiber_bundle_core 0.000044 s: bundle.total_space 0.000067 s: topological_fiber_bundle_core.fiber 0.000074 s: topological_fiber_bundle_core.total_space 0.002212 s: topological_fiber_bundle_core.coord_change 0.001096 s: topological_fiber_bundle_core.index_at 0.000088 s: bundle.proj 0.000113 s: topological_fiber_bundle_core.proj 0.000891 s: topological_fiber_bundle_core.base_set 0.002451 s: topological_fiber_bundle_core.local_triv'._proof_1 0.002248 s: topological_fiber_bundle_core.local_triv'._proof_2 0.001554 s: topological_fiber_bundle_core.coord_change_comp 0.001091 s: topological_fiber_bundle_core.mem_base_set_at 0.001270 s: topological_fiber_bundle_core.coord_change_self 0.002682 s: topological_fiber_bundle_core.local_triv'._proof_3 0.001793 s: topological_fiber_bundle_core.local_triv'._proof_4 0.001477 s: topological_fiber_bundle_core.local_triv' 0.000573 s: topological_fiber_bundle_core.to_topological_space 0.000867 s: topological_fiber_bundle_core.is_open_base_set 0.001414 s: topological_fiber_bundle_core.mem_local_triv'_source 0.000702 s: topological_fiber_bundle_core.local_triv'_apply 0.003544 s: topological_fiber_bundle_core.open_source' 0.000441 s: topological_fiber_bundle_core.open_target' 0.002932 s: topological_fiber_bundle_core.local_triv._proof_1 0.002537 s: set.inter_bUnion 0.004297 s: continuous_on_open_of_generate_from 0.001091 s: topological_fiber_bundle_core.triv_change._proof_1 0.000680 s: topological_fiber_bundle_core.triv_change._proof_2 0.001513 s: topological_fiber_bundle_core.triv_change._proof_3 0.001606 s: topological_fiber_bundle_core.triv_change._proof_4 0.000275 s: topological_fiber_bundle_core.triv_change._proof_5 0.000319 s: topological_fiber_bundle_core.triv_change._proof_6 0.001036 s: topological_fiber_bundle_core.coord_change_continuous 0.007221 s: topological_fiber_bundle_core.triv_change._proof_7 0.010046 s: topological_fiber_bundle_core.triv_change._proof_8 0.007403 s: topological_fiber_bundle_core.triv_change 0.001709 s: set.eq_on.inter_preimage_eq 0.000781 s: local_equiv.eq_on_source.source_inter_preimage_eq 0.001175 s: topological_fiber_bundle_core.mem_local_triv'_target 0.000881 s: topological_fiber_bundle_core.local_triv'_symm_apply 0.000240 s: topological_fiber_bundle_core.proj.equations._eqn_1 0.000099 s: bundle.proj.equations._eqn_1 0.001511 s: topological_fiber_bundle_core.local_triv'.equations._eqn_1 0.001139 s: local_equiv.symm.equations._eqn_1 0.007468 s: topological_fiber_bundle_core.triv_change.equations._eqn_1 0.026851 s: topological_fiber_bundle_core.local_triv'_trans 0.017334 s: topological_fiber_bundle_core.local_triv._proof_2 0.001954 s: topological_fiber_bundle_core.local_triv 0.001686 s: topological_fiber_bundle_core.local_triv_symm_fst 0.000501 s: ordinal.succ_pred_iff_is_succ 0.000374 s: category_theory.limits.has_strong_epi_mono_factorisations.drec_on 0.002578 s: continuous_linear_map.has_sum 0.000319 s: has_sum.mapL 0.000922 s: continuous_linear_map.summable 0.000068 s: norm_cast.label.sizeof 0.000047 s: norm_cast.label.squash.sizeof_spec 0.002712 s: opposite.monoid.equations._eqn_1 0.001045 s: rel_iso.surjective 0.000239 s: rel_iso.range_eq 0.000743 s: algebraic_geometry.PresheafedSpace.forget._proof_1 0.000825 s: algebraic_geometry.PresheafedSpace.forget._proof_2 0.001234 s: algebraic_geometry.PresheafedSpace.forget 0.042506 s: Top.colimit_cocone._proof_1 0.136735 s: Top.colimit_cocone._proof_2 0.035010 s: Top.colimit_cocone 0.006403 s: category_theory.limits.is_colimit.of_faithful._proof_1 0.009765 s: category_theory.limits.is_colimit.of_faithful._proof_2 0.004502 s: category_theory.limits.is_colimit.of_faithful 0.000216 s: Top.colimit_cocone_is_colimit._proof_1 0.004299 s: Top.colimit_cocone_is_colimit._proof_2 0.073612 s: Top.colimit_cocone_is_colimit._proof_3 0.152865 s: Top.colimit_cocone_is_colimit._proof_4 0.031401 s: Top.colimit_cocone_is_colimit 0.000388 s: Top.Top_has_colimits 0.000529 s: algebraic_geometry.PresheafedSpace.colimit._proof_1 0.000202 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_1 0.000171 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_2 0.000256 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_3 0.000302 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_4 0.000233 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_5 0.006766 s: Top.presheaf.pushforward_map._proof_1 0.002224 s: Top.presheaf.pushforward_map 0.001385 s: Top.presheaf.pushforward_eq 0.001739 s: category_theory.limits.colimit.w 0.000924 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_6 0.000944 s: algebraic_geometry.PresheafedSpace.id_base 0.009071 s: Top.presheaf.pushforward.id 0.013964 s: algebraic_geometry.PresheafedSpace.congr_app 0.010379 s: algebraic_geometry.PresheafedSpace.id_c 0.034189 s: algebraic_geometry.PresheafedSpace.id_c_app 0.013125 s: Top.presheaf.pushforward.id_inv_app' 0.001905 s: Top.presheaf.pushforward_eq.equations._eqn_1 0.002074 s: category_theory.iso_whisker_right_hom 0.001373 s: category_theory.nat_iso.op_hom 0.003666 s: category_theory.whisker_right_app 0.002493 s: category_theory.nat_trans.op_app 0.002758 s: topological_space.opens.map_iso_inv_app 0.002220 s: category_theory.eq_to_hom_op 0.013723 s: Top.presheaf.pushforward_eq_hom_app 0.054661 s: algebraic_geometry.PresheafedSpace.map_id_c_app 0.095142 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_7 0.092964 s: algebraic_geometry.PresheafedSpace.map_comp_c_app 0.012671 s: Top.presheaf.pushforward_map_app 0.003442 s: category_theory.nat_trans.congr 0.002863 s: Top.presheaf.pushforward_obj_map 0.448051 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit._proof_8 0.036383 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit 0.010042 s: category_theory.limits.combine_cones._proof_1 0.020679 s: category_theory.limits.combine_cones._proof_2 0.065925 s: category_theory.limits.combine_cones._proof_3 0.163488 s: category_theory.limits.combine_cones._proof_4 0.058383 s: category_theory.limits.combine_cones 0.007781 s: category_theory.evaluation_obj_map 0.008476 s: category_theory.functor.map_cone_π_app 0.065208 s: category_theory.limits.evaluation_jointly_reflects_limits._proof_1 0.128021 s: category_theory.limits.evaluation_jointly_reflects_limits._proof_2 0.148306 s: category_theory.limits.evaluation_jointly_reflects_limits._proof_3 0.042564 s: category_theory.limits.evaluation_jointly_reflects_limits 0.040155 s: category_theory.limits.evaluate_combined_cones._proof_1 0.018429 s: category_theory.limits.evaluate_combined_cones 0.013566 s: category_theory.limits.combined_is_limit 0.002114 s: category_theory.limits.functor_category_has_limits_of_shape 0.000255 s: category_theory.limits.functor_category_has_limits 0.000331 s: Top.presheaf.category_theory.limits.has_limits 0.001895 s: algebraic_geometry.PresheafedSpace.colimit._proof_2 0.000736 s: algebraic_geometry.PresheafedSpace.colimit 0.002399 s: category_theory.limits.colimit.w_apply 0.001901 s: category_theory.limits.limit.w 0.000397 s: category_theory.eq_to_hom.is_iso 0.001221 s: category_theory.inv_eq_to_hom 0.575540 s: algebraic_geometry.PresheafedSpace.colimit_cocone._proof_1 0.087753 s: algebraic_geometry.PresheafedSpace.colimit_cocone 0.071877 s: algebraic_geometry.PresheafedSpace.colimit_cocone.equations._eqn_1 0.004324 s: add_subgroup.multiset_sum_mem 0.000232 s: subfield.to_add_subgroup._proof_1 0.000304 s: subfield.to_add_subgroup._proof_2 0.000192 s: subfield.to_add_subgroup._proof_3 0.000368 s: subfield.to_add_subgroup 0.001115 s: subfield.multiset_sum_mem 0.000240 s: omega.int.preform.no_confusion_type 0.000639 s: omega.int.preform.no_confusion 0.000141 s: omega.int.preform.or.inj 0.000089 s: omega.int.preform.or.inj_arrow 0.000088 s: left_add_coset_equivalence 0.000199 s: left_add_coset_equivalence.equations._eqn_1 0.000328 s: monad_io.sizeof 0.000046 s: monad_io.has_sizeof_inst 0.000096 s: restrict_scalars.semi_normed_group 0.000159 s: coe.equations._eqn_1 0.000125 s: lift_t.equations._eqn_1 0.000084 s: coe_t.equations._eqn_1 0.114497 s: linear_map.extend_to_𝕜'._proof_1 0.050270 s: is_R_or_C.I_mul_I_ax 0.195319 s: linear_map.extend_to_𝕜'._proof_2 0.098177 s: linear_map.extend_to_𝕜' 0.029715 s: is_R_or_C.norm_sq_eq_zero 0.002464 s: is_R_or_C.abs_eq_zero 0.030222 s: is_R_or_C.norm_sq_add 0.096853 s: is_R_or_C.abs_add 0.021872 s: is_R_or_C.abs.is_absolute_value 0.038347 s: is_R_or_C.abs_div 0.074752 s: is_absolute_value.abv_inv 0.041647 s: is_R_or_C.abs_inv 0.015807 s: is_R_or_C.coe_hom 0.138199 s: is_R_or_C.of_real_div 0.016065 s: is_R_or_C.abs_one 0.071089 s: linear_map.extend_to_𝕜'_apply 0.424413 s: norm_bound 0.384013 s: continuous_linear_map.extend_to_𝕜' 0.000171 s: semimodule.restrict_scalars.semi_normed_space_orig 0.003955 s: semi_normed_space.restrict_scalars._proof_1 0.002319 s: semi_normed_space.restrict_scalars._proof_2 0.041021 s: semi_normed_space.restrict_scalars._proof_3 0.023991 s: semi_normed_space.restrict_scalars 0.000253 s: restrict_scalars.semi_normed_space 0.138109 s: continuous_linear_map.extend_to_𝕜 0.014265 s: submonoid.dense_induction 0.006196 s: monoid_hom.of_mdense._proof_1 0.001517 s: monoid_hom.of_mdense 0.001113 s: monoid_hom.coe_of_mdense 0.000983 s: generalized_continued_fraction.exists_conts_a_of_num 0.001430 s: generalized_continued_fraction.continuants_recurrence 0.002357 s: generalized_continued_fraction.numerators_recurrence 0.000920 s: linear_map.dom_restrict 0.008270 s: linear_map.of_is_compl_prod._proof_1 0.007291 s: linear_map.of_is_compl_prod._proof_2 0.011329 s: linear_map.of_is_compl_prod._proof_3 0.008938 s: linear_map.of_is_compl_prod._proof_4 0.009197 s: linear_map.of_is_compl_prod._proof_5 0.008233 s: linear_map.of_is_compl_prod._proof_6 0.002737 s: linear_map.of_is_compl 0.001039 s: prod.eq_iff_fst_eq_snd_eq 0.007796 s: submodule.exists_unique_add_of_is_compl_prod 0.003797 s: submodule.exists_unique_add_of_is_compl 0.002724 s: linear_map.of_is_compl.equations._eqn_1 0.007625 s: submodule.prod_equiv_of_is_compl_symm_apply_right 0.020105 s: linear_map.of_is_compl_eq 0.015053 s: linear_map.of_is_compl_left_apply 0.013361 s: linear_map.of_is_compl_right_apply 0.009224 s: linear_map.of_is_compl_add 0.008005 s: linear_map.of_is_compl_prod._proof_7 0.023352 s: linear_map.of_is_compl_smul 0.030195 s: linear_map.of_is_compl_prod._proof_8 0.010544 s: linear_map.of_is_compl_prod 0.005817 s: linear_map.of_is_compl_prod_apply 0.003242 s: linear_map.dom_restrict_apply 0.019057 s: linear_map.of_is_compl_prod_equiv._proof_10 0.000910 s: sigma.has_variable_names._proof_1 0.000233 s: sigma.has_variable_names 0.000270 s: binder_info 0.000066 s: binder_info.cases_on 0.000092 s: binder_info.brackets._main 0.000019 s: binder_info.brackets 0.000178 s: binder_info.brackets._main.equations._eqn_4 0.000082 s: binder_info.brackets.equations._eqn_4 0.000385 s: cast_znum._main.equations._eqn_3 0.003972 s: pi_Lp.semi_normed_space._proof_1 0.002117 s: pi_Lp.semi_normed_space._proof_2 0.001912 s: pi_Lp.norm_eq 0.125912 s: pi_Lp.semi_normed_space._proof_3 0.048376 s: pi_Lp.semi_normed_space 0.005812 s: pi_Lp.normed_space._proof_1 0.003605 s: pi_Lp.normed_space 0.062578 s: stereo_to_fun._proof_1 0.000578 s: inner_right._proof_1 0.010056 s: inner_right._proof_2 0.032566 s: inner_right._proof_3 0.071648 s: inner_right 0.022122 s: is_closed.is_complete 0.000386 s: is_closed.complete_space_coe 0.001098 s: continuous_linear_map.ker 0.001972 s: continuous_linear_map.mem_ker 0.002221 s: inner_right_apply 0.018938 s: orthogonal_eq_inter 0.008461 s: continuous_linear_map.is_closed_ker 0.004292 s: submodule.is_closed_orthogonal 0.002163 s: submodule.orthogonal.complete_space 0.001519 s: stereo_to_fun._proof_2 0.137667 s: stereo_to_fun 0.016187 s: stereographic._proof_1 0.140426 s: stereo_to_fun_apply 0.161868 s: stereographic._proof_2 0.017337 s: sqr_abs 0.047365 s: finite_dimensional.submodule.span.finite_dimensional 0.025732 s: eq_orthogonal_projection_of_mem_of_inner_eq_zero 0.058755 s: is_R_or_C.of_real_pow 0.216561 s: smul_orthogonal_projection_singleton 0.216146 s: orthogonal_projection_unit_singleton 0.020741 s: submodule.sup_orthogonal_of_complete_space 0.009308 s: submodule.exists_sum_mem_mem_orthogonal 0.018173 s: eq_orthogonal_projection_of_mem_orthogonal 0.022898 s: eq_orthogonal_projection_of_mem_orthogonal' 0.018628 s: submodule.orthogonal_orthogonal 0.047070 s: eq_sum_orthogonal_projection_self_orthogonal_complement 0.009172 s: norm_eq_of_mem_sphere 0.000407 s: pow_two_pos_of_ne_zero 0.004545 s: linarith.eq_of_eq_of_eq 0.001125 s: linarith.mul_zero_eq 0.000875 s: linarith.zero_mul_eq 1.023049 s: stereo_left_inv 0.011397 s: stereographic._proof_4 0.043208 s: orthogonal_projection_mem_subspace_eq_self 0.039534 s: orthogonal_projection_mem_subspace_orthogonal_complement_eq_zero 0.007229 s: submodule.orthogonal_gc 0.002915 s: submodule.le_orthogonal_orthogonal 0.023530 s: orthogonal_projection_mem_subspace_orthogonal_precomplement_eq_zero 0.035194 s: orthogonal_projection_orthogonal_complement_singleton_eq_zero 0.593346 s: stereo_right_inv 0.007499 s: stereographic._proof_5 0.005078 s: subtype.t1_space._match_1 0.000119 s: subtype.t1_space 0.004617 s: stereographic._proof_6 0.000956 s: stereographic._proof_7 0.001033 s: times_cont_diff.times_cont_diff_within_at 0.070739 s: times_cont_diff_smul 0.011863 s: times_cont_diff_within_at.smul 0.003166 s: times_cont_diff_on.smul 0.002660 s: times_cont_diff_within_at.mul 0.000295 s: set.maps_to_univ 0.001260 s: times_cont_diff_at.comp_times_cont_diff_within_at 0.015227 s: inverse_eq_has_inv 0.072260 s: times_cont_diff_at_inv 0.008509 s: times_cont_diff_within_at.inv 0.063937 s: times_cont_diff_within_at.div 0.010642 s: times_cont_diff_on.div 0.011848 s: is_bounded_linear_map.add 0.034837 s: is_bounded_linear_map.fst 0.054496 s: is_bounded_linear_map.snd 0.006773 s: times_cont_diff_add 0.002527 s: times_cont_diff.add 0.001314 s: times_cont_diff.sub 0.005978 s: continuous_linear_map.is_bounded_linear_map 0.001463 s: continuous_linear_map.times_cont_diff 0.352977 s: times_cont_diff_on_stereo_to_fun 0.163013 s: continuous_on_stereo_to_fun 0.033496 s: inner_eq_norm_mul_iff_of_norm_one 0.157441 s: stereographic._proof_8 0.036718 s: times_cont_diff.continuous 0.003205 s: times_cont_diff.smul 0.001199 s: times_cont_diff_at.inv 0.001313 s: times_cont_diff.inv 0.000402 s: is_R_or_C.re_lm._proof_1 0.003108 s: is_R_or_C.of_real_mul_re 0.067032 s: is_R_or_C.smul_re 0.091189 s: is_R_or_C.re_lm 0.083447 s: is_R_or_C.re_lm_coe 0.154319 s: is_R_or_C.re_clm._proof_1 0.216291 s: is_R_or_C.re_clm 0.022387 s: algebra_map_smul 0.075482 s: inner_smul_real_left 0.076478 s: inner_smul_real_right 0.119342 s: is_bounded_bilinear_map_inner 0.021179 s: times_cont_diff_inner 0.007179 s: times_cont_diff.inner 0.132805 s: times_cont_diff_norm_square 0.689524 s: times_cont_diff_stereo_inv_fun_aux 0.011640 s: continuous_stereo_inv_fun 0.149110 s: stereographic._proof_9 0.033703 s: stereographic 0.008132 s: finite_dimensional.findim_of_infinite_dimensional 0.003785 s: finite_dimensional.finite_dimensional_of_findim 0.000699 s: finite_dimensional.finite_dimensional_of_findim_eq_succ 0.139688 s: stereographic'._proof_1 0.015370 s: stereographic'._proof_2 0.001393 s: isometric.to_homeomorph._proof_1 0.001335 s: isometric.to_homeomorph 0.002478 s: linear_isometry_equiv.to_homeomorph 0.000391 s: orthonormal 0.004608 s: inner_self_eq_norm_sq_to_K 0.123837 s: orthonormal_iff_ite 0.022638 s: orthonormal_subtype_iff_ite 0.006080 s: orthonormal_Union_of_directed 0.003104 s: orthonormal_sUnion_of_directed 0.003824 s: exists_maximal_orthonormal 0.000298 s: set.eq_or_mem_of_mem_insert 0.003485 s: is_R_or_C.abs_of_nonneg 0.078651 s: norm_smul_inv_norm 0.000290 s: set.ne_insert_of_not_mem 0.023750 s: orthonormal.ne_zero 0.021280 s: finsupp.inner_sum 0.002532 s: finsupp.sum_ite_eq 0.003341 s: finsupp.sum_ite_self_eq 0.022246 s: orthonormal.inner_right_finsupp 0.009339 s: orthonormal.inner_left_finsupp 0.006967 s: orthonormal.inner_finsupp_eq_zero 0.104392 s: maximal_orthonormal_iff_orthogonal_complement_eq_bot 0.022075 s: submodule.top_orthogonal_eq_bot 0.003344 s: submodule.orthogonal_eq_bot_iff 0.149402 s: finite_dimensional.complete 0.147273 s: submodule.complete_of_finite_dimensional 0.025438 s: orthonormal.linear_independent 0.110412 s: maximal_orthonormal_iff_is_basis_of_finite_dimensional 0.082647 s: exists_subset_is_orthonormal_basis 0.016422 s: orthonormal_empty 0.067897 s: exists_is_orthonormal_basis 0.012073 s: fin.equiv_iff_eq 0.008708 s: finite_dimensional.findim_eq_card_basis' 0.002030 s: finite_dimensional.equiv_fin 0.001252 s: finite_dimensional.equiv_fin_of_dim_eq 0.001249 s: orthonormal.comp 0.065091 s: exists_is_orthonormal_basis' 0.076457 s: linear_isometry_equiv.of_inner_product_space._proof_1 0.016346 s: linear_map.isometry_of_inner._proof_1 0.005867 s: linear_map.isometry_of_inner 0.004851 s: linear_equiv.isometry_of_inner._proof_1 0.003876 s: linear_equiv.isometry_of_inner 0.089056 s: pi_Lp.inner_product_space._proof_1 0.028032 s: pi_Lp.inner_product_space._proof_2 0.009235 s: pi_Lp.inner_product_space._proof_3 0.015419 s: pi_Lp.inner_product_space._proof_4 0.017551 s: pi_Lp.inner_product_space 0.000161 s: euclidean_space.inner_product_space 0.007406 s: pi_Lp.inner_apply 0.002029 s: is_R_or_C.inner_apply 0.006685 s: orthonormal.inner_right_fintype 0.174128 s: is_basis.isometry_euclidean_of_orthonormal._proof_1 0.740145 s: is_basis.isometry_euclidean_of_orthonormal 0.092769 s: linear_isometry_equiv.of_inner_product_space._proof_2 0.082914 s: linear_isometry_equiv.of_inner_product_space._proof_3 0.428274 s: linear_isometry_equiv.of_inner_product_space 0.014527 s: submodule.inner_product_space._proof_1 0.021703 s: submodule.inner_product_space._proof_2 0.005481 s: submodule.inner_product_space._proof_3 0.001169 s: submodule.inner_product_space._proof_4 0.002048 s: submodule.inner_product_space._proof_5 0.002047 s: submodule.inner_product_space._proof_6 0.015697 s: submodule.inner_product_space 0.116776 s: linear_isometry_equiv.from_orthogonal_span_singleton._proof_1 0.111405 s: findim_top 0.065150 s: dim_range_add_dim_ker 0.062733 s: dim_eq_of_injective 0.023742 s: dim_le_of_injective 0.039446 s: dim_le_of_submodule 0.126835 s: submodule.finite_dimensional_of_le 0.024147 s: cardinal.omega_pos 0.001407 s: finite_dimensional_of_dim_eq_zero 0.085394 s: finite_dimensional_bot 0.099532 s: findim_bot 0.106772 s: submodule.finite_dimensional_inf_right 0.014076 s: submodule.map_subtype_top 0.170295 s: submodule.fg_iff_finite_dimensional 0.017505 s: submodule.fg_sup 0.106027 s: submodule.finite_dimensional_sup 0.060187 s: dim_range_of_surjective 0.047948 s: dim_eq_of_surjective 0.006919 s: linear_map.prod_apply 0.027198 s: linear_map.comap_prod_prod 0.005214 s: linear_map.ker_prod 0.005534 s: linear_map.range_cod_restrict 0.002529 s: submodule.prod_top 0.056426 s: dim_add_dim_split 0.030983 s: submodule.map_sup 0.008540 s: submodule.subtype_comp_of_le 0.002319 s: submodule.of_le.equations._eqn_1 0.002839 s: submodule.ker_of_le 0.145896 s: dim_sup_add_dim_inf_eq 0.202276 s: submodule.dim_sup_add_dim_inf_eq 0.433910 s: submodule.findim_add_inf_findim_orthogonal 0.281043 s: submodule.findim_add_findim_orthogonal 0.165132 s: submodule.findim_add_findim_orthogonal' 0.112336 s: findim_span_le_card 0.000810 s: set.fintype_pure 0.000342 s: cardinal.eq 0.000367 s: equiv.set.pempty._match_1 0.000130 s: equiv.set.pempty._proof_1 0.000120 s: equiv.set.pempty 0.000628 s: cardinal.mk_emptyc 0.010644 s: cardinal.mk_emptyc_iff 0.038209 s: dim_zero_iff_forall_zero 0.015782 s: dim_pos_iff_exists_ne_zero 0.000207 s: nontrivial_iff_exists_ne 0.000336 s: dim_pos_iff_nontrivial 0.001153 s: finite_dimensional.findim_pos_iff 0.072997 s: findim_span_singleton 0.215882 s: findim_orthogonal_span_singleton 0.281440 s: linear_isometry_equiv.from_orthogonal_span_singleton 0.001134 s: ne_zero_of_norm_pos 0.002443 s: nonzero_of_mem_sphere 0.011956 s: nonzero_of_mem_unit_sphere 0.003190 s: stereographic'._proof_3 0.215923 s: stereographic' 0.020454 s: metric.sphere.has_neg._proof_1 0.000624 s: metric.sphere.has_neg 0.207806 s: stereographic'.equations._eqn_1 0.026291 s: stereographic_source 0.000729 s: homeomorph.to_local_homeomorph_source 0.204285 s: stereographic'_source 0.038867 s: eq_zero_of_eq_neg 0.002779 s: coe_neg_sphere 0.045122 s: ne_neg_of_mem_sphere 0.015671 s: ne_neg_of_mem_unit_sphere 0.129311 s: metric.sphere.charted_space._proof_1 0.104442 s: metric.sphere.charted_space._proof_2 0.099014 s: metric.sphere.charted_space 0.000102 s: inner_product_space.complex_to_real 0.094923 s: complex.findim_real_complex 0.031952 s: complex.findim_real_complex_fact 0.171981 s: circle.charted_space 0.023121 s: mem_circle_iff_abs 0.002335 s: exp_map_circle._proof_1 0.000330 s: exp_map_circle 0.000385 s: chart_at_self_eq 0.000475 s: local_homeomorph.to_fun_eq_coe 0.002024 s: continuous_on.comp' 0.022305 s: times_cont_mdiff_on_iff_target 0.011670 s: times_cont_mdiff_iff_target 0.034505 s: has_groupoid_of_pregroupoid 0.012448 s: smooth_manifold_with_corners_of_times_cont_diff_on 0.025181 s: submodule.subtypeL 0.001471 s: model_with_corners_self_coe_symm 0.015220 s: stereographic.equations._eqn_1 0.000639 s: homeomorph.to_local_homeomorph_target 0.001911 s: homeomorph.to_local_homeomorph_coe_symm 0.007897 s: linear_isometry_equiv.to_homeomorph_symm 0.002489 s: linear_isometry_equiv.coe_to_homeomorph 0.004428 s: submodule.coe_subtypeL' 0.001166 s: times_cont_diff_on.comp' 0.004082 s: linear_isometry_equiv.times_cont_diff 1.055072 s: metric.sphere.smooth_manifold_with_corners 0.004494 s: times_cont_mdiff_within_at.continuous_within_at 0.003668 s: times_cont_mdiff_at.continuous_at 0.002322 s: times_cont_mdiff.continuous 0.000931 s: set.coe_cod_restrict_apply 0.003103 s: times_cont_mdiff_on.mono 0.004844 s: times_cont_mdiff_on.comp' 0.004330 s: times_cont_mdiff_within_at.of_le 0.001399 s: times_cont_mdiff_on.of_le 0.001203 s: local_homeomorph.refl_apply 0.000185 s: local_equiv.refl_target 0.016751 s: times_cont_mdiff_within_at_iff_times_cont_diff_within_at 0.003230 s: times_cont_mdiff_on_iff_times_cont_diff_on 0.002714 s: times_cont_diff_on.times_cont_mdiff_on 0.837174 s: times_cont_mdiff.cod_restrict_sphere 0.006821 s: times_cont_mdiff_iff_times_cont_diff 0.002211 s: times_cont_diff.times_cont_mdiff 0.003483 s: continuous_multilinear_map.restrict_scalars._proof_1 0.002342 s: continuous_multilinear_map.restrict_scalars._proof_2 0.008880 s: continuous_multilinear_map.restrict_scalars 0.002116 s: formal_multilinear_series.restrict_scalars._proof_1 0.007045 s: formal_multilinear_series.restrict_scalars 0.009860 s: continuous_multilinear_map.restrict_scalars_linear._proof_1 0.011016 s: continuous_multilinear_map.restrict_scalars_linear._proof_2 0.002733 s: continuous_multilinear_map.restrict_scalars_linear._proof_3 0.005082 s: continuous_multilinear_map.restrict_scalars_linear._proof_4 0.007374 s: continuous_multilinear_map.restrict_scalars_linear._proof_5 0.005146 s: continuous_multilinear_map.coe_restrict_scalars 0.014732 s: continuous_multilinear_map.norm_restrict_scalars 0.132818 s: continuous_multilinear_map.restrict_scalars_linear._proof_6 0.099757 s: continuous_multilinear_map.restrict_scalars_linear 0.027433 s: continuous_multilinear_map.is_scalar_tower 0.006979 s: has_fderiv_within_at.restrict_scalars 0.021473 s: continuous_multilinear_map.continuous_restrict_scalars 0.314453 s: has_ftaylor_series_up_to_on.restrict_scalars 0.015134 s: times_cont_diff_within_at.restrict_scalars 0.007791 s: times_cont_diff_at.restrict_scalars 0.006546 s: times_cont_diff.restrict_scalars 0.434935 s: times_cont_mdiff_exp_map_circle 0.000182 s: seq.join._match_2 0.000354 s: seq.join._match_1 0.000104 s: seq.join 0.000182 s: seq1.join._match_3 0.000175 s: seq1.join._main 0.000037 s: seq1.join 0.000212 s: seq.append._match_1 0.000077 s: seq.append._match_2 0.000041 s: seq.append 0.002442 s: seq.coinduction2 0.011275 s: seq.corec_eq 0.003485 s: seq.nil_append 0.000758 s: seq.join_nil 0.000795 s: seq.map_nil 0.001207 s: stream.map_cons 0.001648 s: seq.map_cons 0.000113 s: seq.join.equations._eqn_1 0.000225 s: seq.join._match_1.equations._eqn_2 0.000089 s: seq.join._match_2.equations._eqn_1 0.000233 s: seq.omap._main.equations._eqn_2 0.000171 s: seq.omap.equations._eqn_2 0.006071 s: seq.join_cons_nil 0.000301 s: seq.join._match_2.equations._eqn_2 0.003399 s: seq.join_cons_cons 0.001336 s: seq.cons_append 0.006581 s: seq.join_cons 0.002232 s: seq.append_nil 0.005726 s: seq.append_assoc 0.007029 s: seq.join_append 0.000581 s: seq1.join_nil 0.001106 s: seq1.join_cons 0.008272 s: seq1.join_join 0.000273 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_1 0.001342 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_2 0.000386 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_3 0.000211 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_4 0.000401 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_5 0.000197 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_6 0.004151 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_30 0.000352 s: simple_graph.dart.edge.equations._eqn_1 0.000230 s: has_involutive_star.cases_on 0.000104 s: has_involutive_star.no_confusion_type 0.000182 s: has_involutive_star.no_confusion 0.000170 s: order_dual.linear_ordered_cancel_comm_monoid._proof_3 0.002995 s: matrix.cons_add 0.000833 s: summable_of_summable_norm 0.000500 s: summable.abs 0.063193 s: summable_of_is_O 0.009368 s: summable_of_is_O_nat 0.000424 s: continuous.pow 0.000530 s: nat.rec_add_one 0.056348 s: asymptotics.is_O_with.pow' 0.009843 s: asymptotics.is_O.pow 0.009104 s: nat.norm_cast_le 0.000294 s: le_sub_left_of_add_le 0.009207 s: neg_le_iff_add_nonneg' 0.135084 s: one_add_mul_le_pow 0.064012 s: one_add_mul_sub_le_pow 0.224321 s: nat.cast_le_pow_sub_div_sub 0.157618 s: nat.cast_le_pow_div_sub 0.014158 s: asymptotics.is_o_of_tendsto 0.545857 s: is_o_pow_pow_of_lt_left 0.406004 s: is_o_pow_const_const_pow_of_one_lt 0.226313 s: is_o_pow_const_mul_const_pow_const_pow_of_norm_lt 0.105473 s: summable_norm_pow_mul_geometric_of_norm_lt_1 0.024625 s: summable_pow_mul_geometric_of_norm_lt_1 0.000070 s: lucas_lehmer.X 0.000165 s: lucas_lehmer.X.add_comm_group 0.000090 s: lucas_lehmer.X.ring._proof_2 0.011646 s: category_theory.adjunction.has_colimit_of_comp_equivalence 0.000347 s: category_theory.adjunction.has_colimits_of_shape_of_equivalence 0.000204 s: int.shiftl._main 0.000010 s: int.shiftl 0.000338 s: int.shiftl._main.equations._eqn_2 0.000072 s: int.shiftl.equations._eqn_2 0.000456 s: equiv_functor.map_equiv.equations._eqn_1 0.001859 s: equiv.Pi_congr_left'_symm_apply 0.000174 s: open_add_subgroup.has_mem 0.003392 s: open_add_subgroup.coe_injective 0.000293 s: open_add_subgroup.partial_order._proof_1 0.000390 s: open_add_subgroup.partial_order._proof_2 0.000706 s: open_add_subgroup.partial_order._proof_3 0.000634 s: open_add_subgroup.partial_order._proof_4 0.013152 s: open_add_subgroup.partial_order 0.000884 s: open_add_subgroup.coe_subset 0.006046 s: category_theory.limits.inhabited_image_map._proof_1 0.001583 s: equiv.perm.subtype_perm_of_fintype_apply 0.000170 s: mv_power_series.inhabited.equations._eqn_1 0.000177 s: function.commute.symm 0.000125 s: function.commute.iterate_left 0.000485 s: monoid_hom.iterate_map_gpow 0.000143 s: mvpfunctor.W 0.002609 s: mvpfunctor.W_path.cases_on 0.000201 s: W_type.cases_on 0.000128 s: W_type.no_confusion_type 0.000299 s: W_type.no_confusion 0.000701 s: mvpfunctor.W_path_cases_on._proof_1 0.000231 s: mvpfunctor.W_path_cases_on._proof_2 0.000341 s: mvpfunctor.W_path_cases_on._proof_3 0.000216 s: mvpfunctor.W_path_cases_on._proof_4 0.000249 s: mvpfunctor.W_path_cases_on._proof_5 0.000027 s: mvpfunctor.W_path_cases_on._proof_6 0.000173 s: mvpfunctor.W_path_cases_on._proof_7 0.003110 s: mvpfunctor.W_path_cases_on 0.001070 s: mvpfunctor.W_mk 0.001280 s: mvpfunctor.append_contents 0.009499 s: mvqpf.Wequiv 0.000399 s: mvpfunctor.W_path_dest_right 0.000213 s: W_type.ibelow 0.000375 s: W_type.binduction_on 0.001527 s: mvpfunctor.Wp_ind 0.000525 s: mvpfunctor.W_path_dest_left 0.004733 s: mvpfunctor.W_path_cases_on_eta 0.003337 s: mvpfunctor.W_ind 0.000475 s: mvpfunctor.W_cases 0.001551 s: mvqpf.Wequiv.refl 0.004952 s: mvqpf.Wequiv.drec 0.002615 s: mvqpf.Wequiv.symm 0.000799 s: mvqpf.W_setoid._proof_1 0.000333 s: mvqpf.W_setoid 0.000193 s: mvqpf.fix 0.001193 s: mvpfunctor.W_mk'._main 0.000087 s: mvpfunctor.W_mk' 0.000200 s: W_type.below 0.001115 s: W_type.brec_on 0.001013 s: mvpfunctor.Wp_rec._main 0.000440 s: mvpfunctor.Wp_rec 0.000872 s: mvpfunctor.W_rec._main 0.000314 s: mvpfunctor.W_rec 0.001193 s: mvqpf.recF 0.000275 s: mvqpf.Wrepr 0.001135 s: mvqpf.recF.equations._eqn_1 0.000780 s: mvpfunctor.W_mk.equations._eqn_1 0.001360 s: mvpfunctor.W_rec._main.equations._eqn_1 0.000946 s: mvpfunctor.W_rec.equations._eqn_1 0.001524 s: mvpfunctor.Wp_rec_eq 0.006996 s: mvpfunctor.W_rec_eq 0.003150 s: mvqpf.recF_eq 0.000928 s: mvpfunctor.W_dest' 0.001031 s: mvpfunctor.W_dest'.equations._eqn_1 0.002429 s: mvpfunctor.W_dest'_W_mk 0.000960 s: mvpfunctor.map_eq 0.001908 s: typevec.eq_of_drop_last_eq 0.003190 s: typevec.split_fun_comp 0.006185 s: typevec.append_fun_comp_split_fun 0.000202 s: typevec.id_comp 0.004016 s: mvqpf.recF_eq' 0.001064 s: mvqpf.abs_map 0.006825 s: mvqpf.recF_eq_of_Wequiv 0.000943 s: mvqpf.fix_to_W._proof_1 0.000674 s: mvqpf.fix_to_W 0.000564 s: mvqpf.fix.mk 0.006771 s: mvqpf.Wequiv.abs' 0.000478 s: mvqpf.Wrepr.equations._eqn_1 0.003407 s: mvqpf.Wrepr_W_mk 0.001103 s: mvpfunctor.W_mk'._main.equations._eqn_1 0.001042 s: mvpfunctor.W_mk'.equations._eqn_1 0.001051 s: typevec.split_drop_fun_last_fun 0.001955 s: mvpfunctor.W_dest'_W_mk' 0.000867 s: mvqpf.abs_repr 0.006081 s: mvqpf.Wrepr_equiv 0.000992 s: mvpfunctor.append_contents.equations._eqn_1 0.001087 s: typevec.append_fun.equations._eqn_1 0.013519 s: mvqpf.fix.ind_aux 0.000088 s: xor.decidable._match_2 0.000127 s: xor.decidable._match_2.equations._eqn_1 0.001843 s: shelf_hom.id._proof_1 0.000090 s: shelf_hom.id 0.000050 s: shelf_hom.inhabited 0.001456 s: measure_theory.ae_is_measurably_generated._match_1.equations._eqn_1 0.001407 s: submodule.quotient.nontrivial_of_lt_top 0.075718 s: submodule.findim_lt 0.108217 s: findim_span_eq_card 0.071974 s: span_eq_top_of_linear_independent_of_card_eq_findim 0.007286 s: is_basis_of_linear_independent_of_card_eq_findim 0.001657 s: set_is_basis_of_linear_independent_of_card_eq_findim 0.001261 s: subalgebra.nontrivial 0.001946 s: fintype.card_of_subsingleton 0.003220 s: submodule.no_confusion_type 0.002759 s: submodule.no_confusion 0.002324 s: submodule.mk.inj 0.001221 s: submodule.mk.inj_arrow 0.125048 s: subalgebra.eq_bot_of_findim_one 0.014863 s: finite_dimensional_of_dim_eq_one 0.000372 s: subalgebra.to_submodule_equiv._proof_1 0.063852 s: subalgebra.to_submodule_equiv 0.009849 s: algebra.to_submodule_bot 0.000556 s: cardinal.mk_singleton 0.166372 s: subalgebra.dim_eq_one_of_eq_bot 0.080163 s: subalgebra.dim_bot 0.112907 s: subalgebra.finite_dimensional_bot 0.139012 s: subalgebra.findim_bot 0.135901 s: subalgebra.findim_eq_one_of_eq_bot 0.123174 s: subalgebra.findim_eq_one_iff 0.001039 s: ring_invo 0.000363 s: ring_invo.to_ring_equiv 0.000168 s: ring_invo.has_coe_to_fun 0.000508 s: ring_invo.involution' 0.000486 s: ring_invo.involution 0.016510 s: affine_equiv.rec_on 0.006873 s: category_theory.limits.is_limit.of_cone_equiv.equations._eqn_1 0.002676 s: hash_map.valid.drec 0.000456 s: rel_hom.injective_of_increasing 0.000430 s: ideal.is_local 0.000120 s: ideal.is_local.out 0.013518 s: ideal.is_local.le_jacobson 0.001991 s: filter.add_mem_add 0.017285 s: lt_mul_of_inv_mul_lt 0.002009 s: parser.mono.of_done 0.004242 s: parser.mono.decorate_errors 0.000121 s: parser.mono.decorate_error 0.000136 s: parser.mono.decorate_error.equations._eqn_1 0.000529 s: category_theory.creates_limits_of_shape.cases_on 0.000311 s: category_theory.creates_limits_of_shape.no_confusion_type 0.000849 s: category_theory.creates_limits_of_shape.no_confusion 0.000324 s: linear_map.module.End.division_ring._proof_18 0.000286 s: tactic.interactive.case_tag 0.000094 s: tactic.interactive.case_tag.cases_on 0.000502 s: list.to_string_aux._main 0.000028 s: list.to_string_aux 0.000102 s: list.to_string._main 0.000027 s: list.to_string 0.000052 s: name.below 0.000475 s: name.brec_on 0.000195 s: nat.digit_char 0.000385 s: nat.digit_succ._main 0.000015 s: nat.digit_succ 0.000249 s: nat.to_digits._main 0.000026 s: nat.to_digits 0.000095 s: nat.repr 0.000041 s: nat.has_repr 0.000062 s: unsigned.has_repr 0.000636 s: name.to_string_with_sep._main 0.000016 s: name.to_string_with_sep 0.000060 s: name.to_string 0.000024 s: name.has_to_string 0.000018 s: nat.has_to_string 0.000128 s: tactic.interactive.case_tag.to_string._main 0.000010 s: tactic.interactive.case_tag.to_string 0.000013 s: tactic.interactive.case_tag.has_to_string 0.000130 s: gronwall_bound 0.000201 s: gronwall_bound_K0 0.000205 s: gronwall_bound_of_K_ne_0 0.087845 s: gronwall_bound_continuous_ε 0.169620 s: image_le_of_liminf_slope_right_lt_deriv_boundary 0.000322 s: gronwall_bound.equations._eqn_1 0.031562 s: gronwall_bound_x0 0.002179 s: has_deriv_at.add 0.075374 s: has_deriv_at.exp 0.000848 s: has_deriv_at.sub_const 0.151622 s: has_deriv_at_gronwall_bound 0.087119 s: has_deriv_at_gronwall_bound_shift 0.045307 s: le_gronwall_bound_of_liminf_deriv_right_le 0.001058 s: typevec.drop_fun_split_fun 0.000611 s: typevec.last_fun_split_fun 0.003861 s: typevec.split_fun_inj 0.005261 s: bilin_form.flip_apply 0.001074 s: linear_equiv.refl_apply 0.002596 s: bilin_form.flip_flip 0.000126 s: is_add_unit 0.003821 s: add_submonoid.localization_map 0.000061 s: add_submonoid.localization_map.away_map 0.000943 s: add_submonoid.localization_map.to_fun 0.001613 s: add_submonoid.localization_map.map_zero' 0.001429 s: add_submonoid.localization_map.map_add' 0.000431 s: add_submonoid.localization_map.to_add_monoid_hom 0.000110 s: add_submonoid.localization_map.to_map 0.001792 s: add_units.lift_right._proof_1 0.001089 s: add_units.lift_right._proof_2 0.000580 s: add_units.lift_right 0.000655 s: is_add_unit.lift_right._proof_1 0.000744 s: is_add_unit.lift_right 0.000306 s: add_monoid_hom.mrestrict 0.001357 s: add_submonoid.localization_map.map_add_units' 0.000803 s: add_submonoid.localization_map.map_units 0.002299 s: add_submonoid.localization_map.mk' 0.000777 s: add_submonoid.mem_multiples 0.000158 s: add_submonoid.localization_map.away_map.neg_self._proof_1 0.000330 s: add_submonoid.localization_map.away_map.neg_self 0.000097 s: is_subgroup.trivial 0.000046 s: is_group_hom.ker 0.000152 s: is_subgroup.mem_trivial 0.000628 s: is_group_hom.mem_ker 0.001099 s: is_group_hom.inv_ker_one 0.000588 s: is_group_hom.one_ker_inv 0.000311 s: is_group_hom.one_iff_ker_inv 0.000372 s: is_group_hom.inv_iff_ker 0.011864 s: fin.succ_succ_above_succ 0.009013 s: fin.one_succ_above_one 0.447754 s: circle_equiv_gen._match_1 0.000317 s: general_commutator 0.000647 s: derived_series._main 0.000060 s: derived_series 0.000497 s: is_solvable 0.000345 s: commutator.equations._eqn_1 0.006515 s: subgroup.le_normal_closure 0.000342 s: subgroup.normal_closure_eq_self 0.016642 s: general_commutator_normal 0.000687 s: general_commutator_def 0.001988 s: subgroup.closure_le_normal_closure 0.000291 s: subgroup.normal_closure_mono 0.004255 s: subgroup.normal_closure_closure_eq_normal_closure 0.001139 s: general_commutator_def' 0.001169 s: subgroup.top_normal 0.002479 s: general_commutator_eq_commutator 0.011085 s: derived_series_one 0.012318 s: comm_group.is_solvable 0.002375 s: linear_map.comp_pmap 0.004047 s: linear_map.comp_pmap_apply 0.000455 s: format.color 0.000074 s: format.color.sizeof 0.001775 s: local_equiv.trans'.equations._eqn_1 0.006639 s: submonoid.localization_map.is_unit_comp 0.001330 s: submonoid.localization_map.of_mul_equiv_of_localizations._proof_1 0.003081 s: submonoid.localization_map.of_mul_equiv_of_localizations._match_1 0.002243 s: submonoid.localization_map.of_mul_equiv_of_localizations._match_2 0.000917 s: submonoid.localization_map.of_mul_equiv_of_localizations._proof_2 0.000493 s: mul_equiv.injective 0.000186 s: mul_equiv.apply_eq_iff_eq 0.001780 s: submonoid.localization_map.of_mul_equiv_of_localizations._proof_3 0.002977 s: submonoid.localization_map.of_mul_equiv_of_localizations 0.002025 s: submonoid.localization_map.of_mul_equiv_of_localizations_eq 0.011113 s: inner_product_geometry.sin_angle_add_angle_sub_add_angle_sub_eq_zero 0.002480 s: finset.Ico_ℤ._proof_1 0.000151 s: finset.Ico_ℤ 0.000865 s: int.lt_to_nat 0.015520 s: finset.Ico_ℤ.mem 0.002402 s: set.Ico_ℤ_fintype._proof_1 0.000276 s: tactic.interval_cases.set_elems 0.000196 s: set.Ico_ℤ_fintype 0.000785 s: tactic.interval_cases.mem_set_elems 0.000830 s: mul_nonneg_iff_right_nonneg_of_pos 0.155277 s: real.arccos_nonneg 0.000387 s: inner_product_geometry.angle_nonneg 0.023637 s: int.cast_bit1 0.002102 s: is_R_or_C.coe_real_eq_id 0.004317 s: inner_self_re_abs 0.001370 s: eq_of_div_eq_one 0.117630 s: abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul 0.247343 s: abs_inner_div_norm_mul_norm_eq_one_iff 0.030522 s: abs_real_inner_div_norm_mul_norm_eq_one_iff 0.005075 s: real_inner_smul_self_right 0.068271 s: real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul 0.172006 s: real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul 0.044462 s: real_inner_div_norm_mul_norm_eq_neg_one_iff 0.010589 s: div_two_sub_self 0.001212 s: real.lt_arcsin_iff_sin_lt' 0.000392 s: neg_lt_self 0.004717 s: real.neg_pi_div_two_lt_arcsin 0.000865 s: real.arcsin_eq_neg_pi_div_two 0.000126 s: real.neg_pi_div_two_eq_arcsin 0.080637 s: real.arccos_eq_pi 0.024894 s: inner_product_geometry.angle_eq_pi_iff 0.155444 s: real.arccos_le_pi 0.000264 s: inner_product_geometry.angle_le_pi 0.070128 s: inner_product_geometry.angle_smul_right_of_pos 0.228731 s: inner_product_geometry.angle_add_angle_sub_add_angle_sub_eq_pi 0.094032 s: euclidean_geometry.reflection_reflection 0.077947 s: euclidean_geometry.reflection_involutive 0.323847 s: finset.exists_sum_fiber_le_of_maps_to_of_sum_le_nsmul 0.001280 s: category_theory.is_coreflexive_pair 0.000692 s: category_theory.limits.has_coreflexive_equalizers 0.000315 s: category_theory.limits.has_coreflexive_equalizers_of_has_equalizers 0.000620 s: uniform_space.completion.extension₂ 0.000134 s: metric.uniform_space.completion.has_dist 0.001638 s: uniform_space.completion.uniform_continuous_extension₂ 0.083174 s: metric.completion.uniform_continuous_dist 0.000955 s: uniform_space.completion.extension₂_coe_coe 0.086435 s: metric.completion.dist_eq 0.020050 s: metric.completion.dist_self 0.003200 s: metric.completion.dist_comm 0.077325 s: metric.completion.dist_triangle 0.000183 s: metric.completion.metric_space._proof_1 0.000101 s: ge.equations._eqn_1 0.000205 s: nonempty_gt 0.012597 s: mem_uniformity_is_closed 0.002953 s: uniform_continuous_def 0.068971 s: metric.completion.mem_uniformity_dist 0.026986 s: metric.completion.uniformity_dist' 0.182921 s: metric.completion.uniformity_dist 0.003334 s: metric.completion.eq_of_dist_eq_zero 0.001227 s: metric.completion.metric_space 0.000228 s: uniform_space.completion.normed_group._proof_9 0.003902 s: Top.partial_sections 0.004964 s: Top.comp_app 0.005842 s: Top.partial_sections.directed 0.001042 s: Top.id_app 0.000902 s: category_theory.hom_of_le_le_of_hom 0.004634 s: Top.partial_sections.nonempty 0.001986 s: compact_univ_pi 0.000739 s: pi.compact_space 0.006834 s: Top.partial_sections.closed 0.006669 s: Top.nonempty_limit_cone_of_compact_t2_inverse_system 0.000335 s: category_theory.limits.biproduct_iso._proof_6 0.000457 s: quot.map.equations._eqn_1 0.000218 s: finsupp.support_zero 0.003206 s: finsupp.support_add_eq 0.011387 s: finsupp.support_sum_eq_bUnion 0.000170 s: additive.add_left_cancel_monoid._proof_1 0.000107 s: additive.add_left_cancel_semigroup._proof_1 0.000113 s: additive.add_left_cancel_semigroup._proof_2 0.002377 s: additive.add_left_cancel_semigroup 0.000234 s: additive.add_left_cancel_monoid._proof_2 0.000165 s: additive.add_left_cancel_monoid._proof_3 0.000120 s: additive.add_left_cancel_monoid._proof_4 0.000450 s: additive.add_left_cancel_monoid._proof_5 0.000298 s: additive.add_left_cancel_monoid._proof_6 0.001638 s: additive.add_left_cancel_monoid 0.000908 s: ordnode.sized.node' 0.001202 s: ordnode.sized.node4_l 0.000876 s: filter.generate_sets.dcases_on 0.000617 s: bin_tree 0.000116 s: bin_tree.below 0.000423 s: bin_tree.brec_on 0.000171 s: bin_tree.cases_on 0.000532 s: _private.2964879073.to_list_aux._main 0.000912 s: _private.2964879073.to_list_aux._main.equations._eqn_3 0.044974 s: map_mem_non_zero_divisors 0.000029 s: tactic.simp_config.lift_eq._default 0.000033 s: tactic.simp_config.lift_eq._default.equations._eqn_1 0.009168 s: direct_sum.of.equations._eqn_1 0.002804 s: direct_sum.to_add_monoid.equations._eqn_1 0.014769 s: direct_sum.to_add_monoid.unique 0.001203 s: euclidean_domain.gcd._main._pack 0.000069 s: euclidean_domain.gcd._main 0.000038 s: euclidean_domain.gcd 0.004684 s: euclidean_domain.gcd.induction 0.010932 s: euclidean_domain.gcd._main._pack.equations._eqn_1 0.000534 s: euclidean_domain.gcd._main.equations._eqn_1 0.000370 s: euclidean_domain.gcd.equations._eqn_1 0.000638 s: euclidean_domain.gcd_zero_left 0.008118 s: euclidean_domain.mod_zero 0.007651 s: euclidean_domain.zero_mod 0.003591 s: euclidean_domain.gcd_zero_right 0.001570 s: euclidean_domain.gcd_val 0.005809 s: dvd_add_iff_left 0.001123 s: dvd_add_iff_right 0.001136 s: euclidean_domain.dvd_mod_iff 0.001252 s: euclidean_domain.dvd_gcd 0.000654 s: times_cont_diff_bump_of_inner 0.215521 s: euclidean_space.finite_dimensional 0.225419 s: to_euclidean._proof_1 0.247449 s: findim_euclidean_space 0.139017 s: findim_euclidean_space_fin 0.291696 s: to_euclidean._proof_2 8.258426 s: to_euclidean 0.794759 s: times_cont_diff_bump 0.156550 s: euclidean.dist 0.096637 s: euclidean.closed_ball 0.000111 s: times_cont_diff_bump_of_inner.R 0.148504 s: times_cont_diff_bump.to_times_cont_diff_bump_of_inner 0.745577 s: smooth_bump_function 0.000097 s: exp_neg_inv_glue 0.000092 s: real.smooth_transition 0.000082 s: times_cont_diff_bump_of_inner.r 0.000211 s: times_cont_diff_bump_of_inner.to_fun 0.000113 s: times_cont_diff_bump_of_inner.has_coe_to_fun 0.154802 s: times_cont_diff_bump.to_fun 0.099609 s: times_cont_diff_bump.has_coe_to_fun 0.151289 s: smooth_bump_function.to_times_cont_diff_bump 0.100826 s: smooth_bump_function.to_fun 0.097122 s: smooth_bump_function.has_coe_to_fun 0.518827 s: smooth_bump_covering 0.095514 s: smooth_bump_covering.ι 0.096377 s: smooth_bump_covering.c 0.097387 s: smooth_bump_covering.to_fun 0.095624 s: smooth_bump_covering.has_coe_to_fun 0.000577 s: continuous_within_at_pi 0.016325 s: ext_chart_model_space_eq_id 0.000202 s: continuous_linear_map.proj._proof_1 0.005470 s: continuous_linear_map.proj 0.002073 s: filter.Inter_mem_sets 0.003940 s: multilinear_map.pi._proof_1 0.004797 s: multilinear_map.pi._proof_2 0.003278 s: multilinear_map.pi 0.001849 s: continuous_multilinear_map.coe_continuous 0.003560 s: continuous_multilinear_map.pi._proof_1 0.002622 s: continuous_multilinear_map.pi 0.001648 s: pi.has_continuous_add 0.011845 s: continuous_multilinear_map.piₗᵢ._proof_1 0.010507 s: continuous_multilinear_map.piₗᵢ._proof_2 0.011185 s: continuous_multilinear_map.piₗᵢ._proof_3 0.011421 s: continuous_multilinear_map.piₗᵢ._proof_4 0.072396 s: continuous_multilinear_map.piₗᵢ._proof_5 0.313062 s: continuous_multilinear_map.piₗᵢ._proof_6 0.145136 s: continuous_multilinear_map.piₗᵢ._proof_7 0.145323 s: continuous_multilinear_map.piₗᵢ._proof_8 0.122306 s: continuous_multilinear_map.le_of_op_norm_le 0.256485 s: continuous_multilinear_map.norm_pi 0.043349 s: continuous_multilinear_map.piₗᵢ._proof_9 0.516583 s: continuous_multilinear_map.piₗᵢ 0.012259 s: linear_map.pi._proof_1 0.004061 s: linear_map.pi._proof_2 0.001511 s: linear_map.pi 0.011265 s: continuous_linear_map.pi._proof_1 0.004892 s: continuous_linear_map.pi 0.000980 s: filter.eventually_all 0.012676 s: asymptotics.is_O_with_pi 0.007940 s: asymptotics.is_o_pi 0.077995 s: has_fderiv_at_filter_pi' 0.059357 s: has_fderiv_at_filter_pi 0.043264 s: has_fderiv_within_at_pi 0.009087 s: continuous_on_pi 2.004778 s: has_ftaylor_series_up_to_on_pi 0.162642 s: times_cont_diff_within_at_pi 0.042447 s: times_cont_mdiff_within_at_pi_space 0.011042 s: times_cont_mdiff_at_pi_space 0.009198 s: times_cont_mdiff_pi_space 0.013419 s: times_cont_mdiff_within_at.prod_mk_space 0.007392 s: times_cont_mdiff_at.prod_mk_space 0.003773 s: times_cont_mdiff.prod_mk_space 0.003713 s: smooth.prod_mk_space 0.000381 s: charted_space.lift_prop_at 0.000318 s: filter.eventually.exists_mem 0.000270 s: filter.eventually_eq.exists_mem 0.013121 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_inter' 0.007963 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_congr 0.001868 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_congr_of_eventually_eq 0.000181 s: filter.eventually_eq.eq_of_nhds 0.001435 s: structure_groupoid.local_invariant_prop.lift_prop_at_congr_of_eventually_eq 0.002070 s: times_cont_mdiff_at.congr_of_eventually_eq 0.000994 s: times_cont_mdiff.times_cont_mdiff_at 0.001402 s: times_cont_mdiff_at_const 0.001610 s: function.compl_support 0.001226 s: eventually_eq_zero_nhds 0.003213 s: times_cont_mdiff_of_support 0.000596 s: smooth_at 0.002417 s: times_cont_mdiff_at.comp 0.001869 s: smooth.smooth_at 0.018802 s: local_homeomorph.prod_symm 0.001327 s: local_equiv.prod_coe 0.005231 s: local_equiv.prod_coe_symm 0.000436 s: local_equiv.prod_target 0.005622 s: local_equiv.prod_symm 0.026244 s: local_equiv.prod_trans 0.058264 s: local_homeomorph.prod_trans 0.009413 s: local_equiv.image_eq_target_inter_inv_preimage 0.006154 s: model_with_corners.image_eq 0.000733 s: times_cont_diff_fst 0.000685 s: times_cont_diff_on_fst 0.000283 s: set.prod_subset_preimage_fst 0.000511 s: times_cont_diff_snd 0.002065 s: times_cont_diff_on_snd 0.000598 s: set.prod_subset_preimage_snd 0.004084 s: times_cont_diff_on.prod_map 0.029594 s: times_cont_diff_groupoid_prod 0.011570 s: smooth_manifold_with_corners.prod 0.014966 s: smooth_smul 0.004640 s: smooth_at.prod_mk 0.007066 s: smooth_at.smul 0.002054 s: times_cont_mdiff_at_iff_times_cont_diff_at 0.000876 s: times_cont_diff_at.times_cont_mdiff_at 0.000321 s: pi.one_def 0.000436 s: div_eq_one_iff_eq 0.000237 s: has_lt.lt.lt_or_lt 0.000152 s: exp_neg_inv_glue.equations._eqn_1 0.001298 s: exp_neg_inv_glue.pos_of_pos 0.000385 s: exp_neg_inv_glue.zero_of_nonpos 0.001150 s: exp_neg_inv_glue.nonneg 0.043476 s: real.smooth_transition.pos_denom 0.074788 s: real.smooth_transition.one_of_one_le 0.000277 s: times_cont_diff_bump_of_inner.r_lt_R 0.359041 s: times_cont_diff_bump_of_inner.one_of_mem_closed_ball 0.044136 s: times_cont_diff_bump_of_inner.eventually_eq_one_of_mem_ball 0.000115 s: times_cont_diff_bump_of_inner.r_pos 0.000388 s: times_cont_diff_bump_of_inner.eventually_eq_one 0.001355 s: times_cont_diff_at.div 0.001554 s: times_cont_diff.div 0.001646 s: exp_neg_inv_glue.P_aux._main 0.000018 s: exp_neg_inv_glue.P_aux 0.000192 s: exp_neg_inv_glue.f_aux 0.000118 s: exp_neg_inv_glue.f_aux.equations._eqn_1 0.001116 s: exp_neg_inv_glue.P_aux._main.equations._eqn_1 0.000065 s: exp_neg_inv_glue.P_aux.equations._eqn_1 0.042339 s: exp_neg_inv_glue.f_aux_zero_eq 0.011723 s: iterated_deriv 0.013435 s: continuous_multilinear_map.pi_field_equiv._proof_1 0.011107 s: continuous_multilinear_map.pi_field_equiv._proof_2 0.011669 s: continuous_multilinear_map.pi_field_equiv_aux._proof_1 0.011188 s: continuous_multilinear_map.pi_field_equiv_aux._proof_2 0.000422 s: multilinear_map.smul_right._proof_1 0.005606 s: multilinear_map.smul_right 0.039672 s: multilinear_map.mk_pi_ring 0.013294 s: multilinear_map.mk_pi_ring_apply 0.072086 s: continuous_multilinear_map.mk_pi_field._proof_1 0.036793 s: continuous_multilinear_map.mk_pi_field 0.029540 s: continuous_multilinear_map.mk_pi_field_apply 0.007109 s: continuous_multilinear_map.add_apply 0.025710 s: continuous_multilinear_map.pi_field_equiv_aux._proof_3 0.055261 s: continuous_multilinear_map.pi_field_equiv_aux._proof_4 0.027007 s: continuous_multilinear_map.pi_field_equiv_aux._proof_5 0.013814 s: multilinear_map.mk_pi_ring_apply_one_eq_self 0.121694 s: continuous_multilinear_map.mk_pi_field_apply_one_eq_self 0.023597 s: continuous_multilinear_map.pi_field_equiv_aux._proof_6 0.014557 s: continuous_multilinear_map.pi_field_equiv_aux 0.018253 s: continuous_multilinear_map.pi_field_equiv._proof_3 0.015777 s: continuous_multilinear_map.pi_field_equiv._proof_4 0.014856 s: continuous_multilinear_map.pi_field_equiv._proof_5 0.014256 s: continuous_multilinear_map.pi_field_equiv._proof_6 0.065721 s: continuous_multilinear_map.pi_field_equiv._proof_7 0.124452 s: continuous_multilinear_map.unit_le_op_norm 0.067972 s: continuous_multilinear_map.pi_field_equiv._proof_8 0.029788 s: continuous_multilinear_map.pi_field_equiv 0.027456 s: iterated_deriv_eq_equiv_comp 0.023531 s: iterated_fderiv_eq_equiv_comp 0.000903 s: homeomorph.comp_continuous_iff 0.004969 s: continuous_linear_equiv.to_homeomorph 0.002794 s: continuous_linear_equiv.comp_continuous_iff 0.004094 s: differentiable_within_at.comp 0.001456 s: differentiable_at.comp_differentiable_within_at 0.000328 s: differentiable.differentiable_at 0.001582 s: continuous_linear_equiv.differentiable 0.003575 s: continuous_linear_equiv.comp_differentiable_within_at_iff 0.002449 s: continuous_linear_equiv.comp_differentiable_on_iff 0.002245 s: continuous_linear_equiv.comp_differentiable_iff 0.041463 s: times_cont_diff_iff_iterated_deriv 0.006252 s: times_cont_diff_of_differentiable_iterated_deriv 0.004716 s: iterated_deriv.equations._eqn_1 0.002485 s: iterated_deriv_zero 0.001402 s: iterated_deriv_within 0.001519 s: iterated_deriv_within.equations._eqn_1 0.002384 s: iterated_deriv_within_univ 0.002090 s: deriv_within_univ 0.001354 s: iterated_deriv_within_eq_iterated_fderiv_within 0.017326 s: iterated_deriv_within_eq_equiv_comp 0.024416 s: iterated_fderiv_within_eq_equiv_comp 0.006358 s: fderiv.comp_fderiv_within 0.002603 s: continuous_linear_equiv.fderiv 0.003807 s: continuous_linear_map.comp_zero 0.005846 s: continuous_linear_equiv.comp_fderiv_within 0.044883 s: iterated_deriv_within_succ 0.007408 s: iterated_deriv_succ 0.018382 s: has_deriv_within_at.congr_mono 0.002092 s: has_deriv_within_at.congr 0.005816 s: exp_neg_inv_glue.P_aux._main.equations._eqn_2 0.000759 s: exp_neg_inv_glue.P_aux.equations._eqn_2 0.000420 s: polynomial.C_bit0 0.002355 s: has_deriv_at_inv 0.171006 s: has_deriv_within_at.div 0.019887 s: has_deriv_at.div 0.002036 s: polynomial.has_deriv_at 0.370301 s: exp_neg_inv_glue.f_aux_deriv 0.136375 s: exp_neg_inv_glue.f_aux_deriv_pos 0.000257 s: polynomial.continuous_within_at 0.031629 s: real.exp_nat_mul 0.006463 s: lt_nat_ceil 0.055494 s: floor_coe 0.011628 s: floor_zero 0.011398 s: ceil_zero 0.001160 s: ceil_mono 0.002386 s: nat_ceil_add_nat 0.006060 s: nat_ceil_lt_add_one 0.134847 s: tendsto_pow_const_div_const_pow_of_one_lt 0.000272 s: real.one_lt_exp_iff 0.157389 s: real.tendsto_exp_div_pow_at_top 0.083790 s: real.tendsto_pow_mul_exp_neg_at_top_nhds_0 0.181274 s: exp_neg_inv_glue.f_aux_limit 0.168976 s: exp_neg_inv_glue.f_aux_deriv_zero 0.225675 s: exp_neg_inv_glue.f_aux_has_deriv_at 0.097456 s: exp_neg_inv_glue.f_aux_iterated_deriv 0.079440 s: exp_neg_inv_glue.times_cont_diff 0.144734 s: real.smooth_transition.times_cont_diff 0.087946 s: real.smooth_transition.times_cont_diff_at 0.012138 s: times_cont_diff_at.mul 0.007167 s: times_cont_diff_at.div_const 0.001564 s: times_cont_diff_within_at.add 0.000967 s: times_cont_diff_at.add 0.000733 s: times_cont_diff_within_at.neg 0.000604 s: times_cont_diff_at.neg 0.000968 s: times_cont_diff_at.sub 0.069123 s: times_cont_diff_within_at.norm_square 0.085509 s: times_cont_diff_at.norm_square 0.109447 s: times_cont_diff_at_norm 0.106172 s: times_cont_diff_at.norm 0.100483 s: times_cont_diff_at.dist 0.228168 s: times_cont_diff_bump_of_inner.times_cont_diff_at 0.112434 s: times_cont_diff_bump_of_inner.times_cont_diff 0.020056 s: continuous_linear_equiv.times_cont_diff 0.379396 s: times_cont_diff_bump.times_cont_diff 0.142680 s: times_cont_diff_bump.times_cont_diff_at 0.000079 s: iff_eq_eq 0.041393 s: times_cont_mdiff_within_at_iff' 0.002754 s: times_cont_diff_within_at.congr' 0.000341 s: times_cont_diff_within_at_id 0.020784 s: times_cont_mdiff_at_ext_chart_at' 0.078157 s: euclidean.ball 0.097884 s: smooth_bump_function.coe_def 0.000559 s: function.support_comp_eq_preimage 0.001439 s: local_equiv.symm_image_target_inter_eq' 0.152790 s: euclidean.ball_eq_preimage 0.005577 s: real.smooth_transition.pos_of_pos 0.351495 s: times_cont_diff_bump_of_inner.pos_of_mem_ball 0.000119 s: real.smooth_transition.equations._eqn_1 0.074522 s: real.smooth_transition.zero_of_nonpos 0.048134 s: mul_nonpos_iff 0.016284 s: div_nonpos_iff 0.002033 s: div_nonpos_of_nonpos_of_nonneg 0.346961 s: times_cont_diff_bump_of_inner.zero_of_le_dist 0.039626 s: times_cont_diff_bump_of_inner.support_eq 0.133426 s: times_cont_diff_bump.coe_eq_comp 0.269506 s: times_cont_diff_bump.support_eq 0.152848 s: smooth_bump_function.support_eq_inter_preimage 0.110828 s: euclidean.ball_subset_closed_ball 0.152284 s: smooth_bump_function.closed_ball_subset 0.160521 s: smooth_bump_function.ball_subset 0.158660 s: smooth_bump_function.support_eq_symm_image 0.026634 s: continuous_linear_equiv.image_eq_preimage 0.004755 s: continuous_linear_equiv.image_symm_eq_preimage 0.135065 s: euclidean.closed_ball_eq_preimage 0.157001 s: euclidean.closed_ball_eq_image 3.856460 s: euclidean.compact_ball 0.000302 s: closed_embedding.closed_range 0.000726 s: model_with_corners.closed_range 0.018701 s: ext_chart_at_continuous_on_symm 0.165106 s: smooth_bump_function.compact_symm_image_closed_ball 0.159175 s: smooth_bump_function.closed_symm_image_closed_ball 0.157425 s: smooth_bump_function.closure_support_subset_symm_image_closed_ball 0.000769 s: local_equiv.symm_image_target_eq_source 0.165674 s: smooth_bump_function.closure_support_subset_ext_chart_at_source 0.105072 s: smooth_bump_function.closure_support_subset_chart_at_source 0.000349 s: set.eq_on_indicator 0.099763 s: smooth_bump_function.eq_on_source 0.205630 s: smooth_bump_function.smooth 0.292532 s: smooth_bump_function.smooth_at 0.023437 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_inter 0.003883 s: structure_groupoid.local_invariant_prop.lift_prop_at_of_lift_prop_within_at 0.004193 s: times_cont_mdiff_within_at.times_cont_mdiff_at 0.000376 s: pi.smul_apply' 0.007137 s: function.support_smul_subset_left 0.324534 s: smooth_bump_function.smooth_smul 0.031783 s: times_cont_mdiff_on_ext_chart_at 0.207616 s: smooth_bump_covering.embedding_pi_tangent._proof_1 0.233731 s: smooth_bump_covering.embedding_pi_tangent 0.027363 s: diffeomorph.has_coe_to_fun 0.005654 s: continuous_linear_equiv.to_diffeomorph._proof_1 0.005368 s: continuous_linear_equiv.to_diffeomorph._proof_2 0.012775 s: continuous_linear_equiv.to_diffeomorph 0.003288 s: diffeomorph.smooth 0.002724 s: continuous_linear_equiv.injective 0.000639 s: set.injective_iff_inj_on_univ 0.099029 s: smooth_bump_covering.eventually_eq_one' 0.105544 s: smooth_bump_covering.ind 0.224244 s: smooth_bump_covering.embedding_pi_tangent_coe 0.000475 s: local_equiv.inj_on 0.169362 s: smooth_bump_function.support_subset_source 0.109429 s: smooth_bump_covering.mem_chart_at_source_of_eq_one 0.099362 s: smooth_bump_covering.mem_ext_chart_at_source_of_eq_one 0.095364 s: smooth_bump_covering.eventually_eq_one 0.101179 s: smooth_bump_covering.apply_ind 0.097800 s: smooth_bump_covering.mem_ext_chart_at_ind_source 0.280465 s: smooth_bump_covering.embedding_pi_tangent_inj_on 0.227318 s: smooth_bump_covering.embedding_pi_tangent_injective 0.054261 s: written_in_ext_chart_comp 0.131004 s: has_mfderiv_within_at.comp 0.080296 s: has_mfderiv_within_at.mono 0.095179 s: has_mfderiv_at.comp 0.092770 s: mfderiv_comp 0.029957 s: mdifferentiable_at_iff_differentiable_at 0.001853 s: differentiable_at.mdifferentiable_at 0.010680 s: times_cont_mdiff_map.mdifferentiable 0.002803 s: times_cont_mdiff_map.mdifferentiable_at 0.000753 s: mdifferentiable_on 0.001103 s: local_homeomorph.mdifferentiable 0.070294 s: local_homeomorph.mdifferentiable.mfderiv._proof_1 0.087236 s: local_homeomorph.mdifferentiable.mfderiv._proof_2 0.012469 s: ext_chart_continuous_at_symm 0.003767 s: ext_chart_preimage_mem_nhds 0.007532 s: mdifferentiable_within_at_inter 0.001964 s: mdifferentiable_within_at.mdifferentiable_at 0.001978 s: local_homeomorph.mdifferentiable.mdifferentiable_at_symm 0.001917 s: local_homeomorph.mdifferentiable.mdifferentiable_at 0.000725 s: has_fderiv_within_at_id 0.000961 s: ext_chart_at_target_mem_nhds_within 0.078856 s: has_mfderiv_at_id 0.083696 s: mfderiv_id 0.087209 s: mfderiv_within 0.084346 s: mfderiv_within.equations._eqn_1 0.100573 s: mfderiv_within_univ 0.081778 s: mdifferentiable_within_at.has_mfderiv_within_at 0.082432 s: has_mfderiv_within_at.mdifferentiable_within_at 0.093697 s: has_mfderiv_within_at.mfderiv_within 0.134683 s: has_mfderiv_within_at.congr_of_eventually_eq 0.019719 s: mdifferentiable_within_at.congr_of_eventually_eq 0.005210 s: filter.eventually_eq.mdifferentiable_within_at_iff 0.092167 s: filter.eventually_eq.mfderiv_within_eq 0.086956 s: filter.eventually_eq.mfderiv_eq 0.096911 s: local_homeomorph.mdifferentiable.symm_comp_deriv 0.096632 s: local_homeomorph.mdifferentiable.mfderiv._proof_3 0.019373 s: local_homeomorph.mdifferentiable.symm 0.046902 s: local_homeomorph.mdifferentiable.comp_symm_deriv 0.090863 s: local_homeomorph.mdifferentiable.mfderiv._proof_4 0.085465 s: local_homeomorph.mdifferentiable.mfderiv._proof_5 0.085385 s: local_homeomorph.mdifferentiable.mfderiv._proof_6 0.094410 s: local_homeomorph.mdifferentiable.mfderiv 0.099218 s: local_homeomorph.mdifferentiable.ker_mfderiv_eq_bot 0.016606 s: mdifferentiable_within_at.mono 0.004124 s: mdifferentiable_at.mdifferentiable_within_at 0.035852 s: mdifferentiable_at_atlas 0.007321 s: mdifferentiable_on_atlas 0.035883 s: mdifferentiable_at_atlas_symm 0.012893 s: mdifferentiable_on_atlas_symm 0.002035 s: mdifferentiable_of_mem_atlas 0.000878 s: mdifferentiable_chart 0.100655 s: smooth_bump_covering.mem_chart_at_ind_source 0.022935 s: continuous_linear_map.has_mfderiv_at 0.084273 s: has_mfderiv_at.congr_of_eventually_eq 0.000899 s: model_with_corners.continuous_at 0.017128 s: has_fderiv_within_at.congr' 0.097132 s: model_with_corners.has_mfderiv_at 0.083602 s: has_mfderiv_at_ext_chart_at 0.012384 s: continuous_linear_map.coe_fst' 0.006718 s: continuous_linear_map.proj_apply 0.480516 s: smooth_bump_covering.comp_embedding_pi_tangent_mfderiv 0.450618 s: smooth_bump_covering.embedding_pi_tangent_ker_mfderiv 0.304220 s: smooth_bump_covering.embedding_pi_tangent_injective_mfderiv 8.893232 s: smooth_bump_covering.exists_immersion_findim 0.004649 s: ordinal.typein_le_typein 0.000132 s: is_separated 0.004073 s: eq_of_uniformity_inf_nhds_of_is_separated 0.000142 s: is_separated.equations._eqn_1 0.003786 s: id_rel_sub_separation_relation 0.004685 s: univ_separated_iff 0.000770 s: eq_of_uniformity_inf_nhds 0.000544 s: category_theory.presieve.is_separated 0.118869 s: real.deriv_sin 0.013976 s: equiv.mul_right'._proof_1 0.006466 s: equiv.mul_right'._proof_2 0.000360 s: equiv.mul_right' 0.000511 s: equiv.mul_right'_symm_apply 0.006707 s: perfection.hom_ext 0.001695 s: metric.ball_union_sphere 0.000299 s: disjoint.sup_sdiff_cancel_right 0.005904 s: set.union_diff_cancel_right 0.002450 s: metric.sphere_disjoint_ball 0.003247 s: metric.closed_ball_diff_sphere 0.001256 s: Module.has_cokernels_Module 0.000333 s: Module.cokernel_iso_range_quotient._proof_1 0.000679 s: category_theory.limits.colimit.iso_colimit_cocone 0.000215 s: Module.cokernel_iso_range_quotient._proof_2 0.013204 s: Module.cokernel_iso_range_quotient 0.000856 s: Module.as_hom_left 0.006789 s: category_theory.limits.colimit.iso_colimit_cocone_ι_inv 0.019695 s: Module.range_mkq_cokernel_iso_range_quotient_inv 0.008973 s: Module.range_mkq_cokernel_iso_range_quotient_inv_apply 0.000255 s: free_comm_ring.of.equations._eqn_1 0.021758 s: nnreal.canonically_linear_ordered_add_monoid._match_3.equations._eqn_1 0.000347 s: is_group_hom.ker.equations._eqn_1 0.000196 s: is_subgroup.trivial.equations._eqn_1 0.005104 s: is_group_hom.injective_of_trivial_ker 0.000251 s: category_theory.limits.wide_pushout_shape.fintype_hom._proof_1 0.002907 s: category_theory.limits.wide_pushout_shape.hom.decidable_eq 0.011199 s: category_theory.limits.wide_pushout_shape.fintype_hom._proof_2 0.001811 s: category_theory.limits.wide_pushout_shape.fintype_hom 0.002385 s: category_theory.limits.wide_pushout_shape.fintype_hom.equations._eqn_1 0.000041 s: mvqpf.pi 0.000279 s: mvqpf.pi.P 0.001406 s: mvqpf.pi.repr._sunfold 0.018604 s: linear_map.smul_rightₗ._proof_6 0.000270 s: smul_comm_class.rec_on 0.000307 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main._proof_1 0.000878 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main.equations._eqn_1 0.000068 s: monoid.foldl 0.000926 s: monoid.foldl.of_free_monoid 0.000653 s: traversable.foldl.unop_of_free_monoid 0.003691 s: filter.tendsto_Icc_at_top_at_top 0.000272 s: filter.tendsto_Ioc_at_top_at_top 0.000237 s: filter.tendsto_Ioc_at_top_at_top.equations._eqn_1 0.000130 s: ordering.compares._main.equations._eqn_1 0.004669 s: category_theory.faithful_reflects_mono 0.000197 s: category_theory.hom_of_element 0.000551 s: category_theory.hom_of_element_eq_iff 0.001447 s: category_theory.mono_iff_injective 0.001683 s: category_theory.concrete_category.mono_of_injective 0.000847 s: list.count_singleton 0.000189 s: complex.measurable_sinh 0.000191 s: connected_space 0.000068 s: connected_space.rec_on 0.000423 s: is_min_filter_const 0.000105 s: is_extr_filter_const 0.000099 s: is_extr_on_const 0.000472 s: ordinal.partial_order._match_5.equations._eqn_1 0.000346 s: continuous_map.has_norm 0.000087 s: continuous_map.normed_group._proof_1 0.000897 s: add_equiv.map_sub 0.026052 s: continuous_map.normed_group._proof_2 0.000775 s: continuous_map.normed_group 0.000117 s: continuous_map.to_Lp._proof_1 0.000052 s: continuous_map.to_Lp._proof_2 0.011049 s: continuous_map_semimodule._proof_1 0.002315 s: continuous_map_semimodule._proof_2 0.007663 s: continuous_map_semimodule._proof_3 0.005123 s: continuous_map_semimodule._proof_4 0.014833 s: continuous_map_semimodule._proof_5 0.015889 s: continuous_map_semimodule._proof_6 0.011151 s: continuous_map_semimodule 0.000136 s: continuous_map.to_Lp._proof_3 0.001235 s: continuous_map.to_Lp._proof_4 0.000080 s: continuous_map.to_Lp._proof_5 0.000067 s: bounded_continuous_function.to_Lp._proof_1 0.000100 s: continuous_map.to_Lp._proof_6 0.000382 s: continuous_map.to_Lp._proof_7 0.002561 s: bounded_continuous_function.norm_le 0.000873 s: bounded_continuous_function.norm_of_normed_group_le 0.009370 s: bounded_continuous_function.normed_space._proof_1 0.002855 s: bounded_continuous_function.normed_space 0.000151 s: continuous_map.to_ae_eq_fun_linear_map._proof_1 0.000290 s: bounded_continuous_function.to_Lp._proof_2 0.000113 s: continuous_map.to_ae_eq_fun_linear_map._proof_2 0.000193 s: bounded_continuous_function.to_Lp._proof_3 0.000088 s: continuous_map.to_ae_eq_fun_linear_map._proof_3 0.000316 s: bounded_continuous_function.to_Lp._proof_4 0.000118 s: continuous_map.to_ae_eq_fun_linear_map._proof_4 0.000216 s: bounded_continuous_function.to_Lp._proof_5 0.000080 s: continuous_map.to_ae_eq_fun_linear_map._proof_5 0.000055 s: continuous_map.to_ae_eq_fun_linear_map._proof_6 0.000051 s: continuous_map.to_ae_eq_fun_linear_map._proof_7 0.000052 s: continuous_map.to_ae_eq_fun_linear_map._proof_8 0.000053 s: continuous_map.to_ae_eq_fun_linear_map._proof_9 0.000529 s: measure_theory.ae_eq_fun.add_monoid._proof_1 0.002643 s: measure_theory.ae_eq_fun.add_monoid 0.000102 s: continuous_map.to_ae_eq_fun_linear_map._proof_10 0.000505 s: continuous_map.to_ae_eq_fun._proof_1 0.000380 s: continuous_map.to_ae_eq_fun 0.000915 s: continuous_map.to_ae_eq_fun_add_hom._proof_1 0.002125 s: continuous_map.to_ae_eq_fun_add_hom._proof_2 0.005808 s: continuous_map.to_ae_eq_fun_add_hom 0.001261 s: continuous_map.to_ae_eq_fun_linear_map._proof_11 0.001975 s: continuous_map.to_ae_eq_fun_linear_map._proof_12 0.037432 s: continuous_map.to_ae_eq_fun_linear_map 0.000108 s: bounded_continuous_function.to_Lp._proof_6 0.000178 s: bounded_continuous_function.forget_boundedness_linear_map._proof_1 0.000061 s: bounded_continuous_function.forget_boundedness_linear_map._proof_2 0.005489 s: 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category_theory.category_of_elements.π._proof_2 0.000166 s: holor.assoc_left._proof_1 0.000080 s: holor.assoc_left 0.255368 s: lie_equiv_matrix'.equations._eqn_1 0.001906 s: homeomorph.mul_left.equations._eqn_1 0.002939 s: category_theory.grothendieck 0.000233 s: category_theory.grothendieck.cases_on 0.001307 s: measure_theory.measure.is_complete 0.001815 s: set.inter_union_compl 0.000266 s: measure_theory.measure.is_complete.out' 0.000170 s: measure_theory.measure.is_complete.out 0.011768 s: measurable.ae_eq 0.001444 s: ae_measurable_iff_measurable 0.006132 s: ae_measurable_of_tendsto_metric_ae 0.000653 s: measurable_of_tendsto_metric_ae 0.000654 s: category_theory.limits.biprod.inr_mono 0.000797 s: category_theory.limits.biprod.inr_mono.equations._eqn_1 0.000107 s: turing.partrec_to_TM2.move_excl.equations._eqn_1 0.000350 s: add_subgroup.ext 0.000794 s: add_subgroup.subsingleton_iff 0.000100 s: add_subgroup.nontrivial_iff 0.001370 s: normalization_monoid.cases_on 0.000671 s: 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0.000908 s: is_poly.drec 0.001710 s: poly.induction 0.000591 s: category_theory.subobject.lower 0.000819 s: category_theory.thin_skeleton.lower_adjunction._proof_1 0.001393 s: category_theory.thin_skeleton.lower_adjunction._proof_2 0.005940 s: category_theory.thin_skeleton.lower_adjunction._proof_3 0.001834 s: category_theory.thin_skeleton.lower_adjunction._proof_4 0.001835 s: category_theory.thin_skeleton.lower_adjunction._proof_5 0.006306 s: category_theory.thin_skeleton.lower_adjunction._proof_6 0.021223 s: category_theory.thin_skeleton.lower_adjunction._proof_7 0.028599 s: category_theory.thin_skeleton.lower_adjunction._proof_8 0.036948 s: category_theory.thin_skeleton.lower_adjunction 0.006668 s: category_theory.subobject.lower_adjunction 0.003403 s: category_theory.subobject.lower_adjunction.equations._eqn_1 0.000280 s: slim_check.combine._main 0.000031 s: slim_check.combine 0.000338 s: slim_check.convert_counter_example._main 0.000589 s: with_top.coe_bit0 0.002161 s: subfield.copy._proof_1 0.002192 s: subfield.copy._proof_2 0.001622 s: subfield.copy._proof_3 0.001491 s: subfield.copy._proof_4 0.000872 s: subfield.copy._proof_5 0.000485 s: subfield.copy._proof_6 0.001060 s: subfield.copy 0.000456 s: ring_hom.field_range._proof_1 0.001387 s: ring_hom.field_range 0.000616 s: ring_hom.mem_field_range 0.001304 s: list.lex.is_trichotomous._match_1 0.000102 s: list.lex.is_trichotomous 0.000343 s: is_incomp_trans 0.000177 s: is_strict_weak_order 0.000048 s: is_strict_weak_order.to_is_strict_order 0.000219 s: is_order_connected 0.000062 s: is_order_connected.conn 0.000304 s: is_order_connected.neg_trans 0.000579 s: is_strict_weak_order_of_is_order_connected 0.008219 s: list.lex.is_asymm._match_1 0.000081 s: list.lex.is_asymm 0.007543 s: list.lex.is_order_connected._match_1 0.000128 s: list.lex.is_order_connected 0.000267 s: is_order_connected_of_is_strict_total_order' 0.000329 s: list.lex.is_strict_total_order 0.000237 s: list.lex.is_strict_total_order.equations._eqn_1 0.000399 s: intermediate_field.insert 0.000139 s: intermediate_field.insert.sizeof 0.000495 s: intermediate_field.insert.mk.sizeof_spec 0.000939 s: category_theory.reflective 0.002170 s: UniformSpace.category_theory.forget₂.category_theory.reflective._proof_1 0.000395 s: UniformSpace.category_theory.forget₂.category_theory.reflective 0.007359 s: polynomial.monic_X_pow_sub_C 0.045603 s: is_primitive_root.is_integral 0.000360 s: dvd_not_unit.equations._eqn_1 0.041827 s: nat.wf_dvd_monoid 0.006467 s: prime.ne_one 0.028073 s: nat.prime_iff 0.035451 s: nat.irreducible_iff_prime 0.022498 s: nat.unique_factorization_monoid 0.003346 s: algebra.cases_on 0.008581 s: algebra.algebra_ext 0.009776 s: int_algebra_subsingleton 0.001091 s: nat.coprime_zero_left 0.005295 s: is_primitive_root.one 0.000609 s: is_primitive_root.one_right_iff 0.000297 s: nat.coprime.coprime_dvd_left 0.001730 s: nat.coprime.coprime_mul_left 0.000069 s: squarefree 0.000507 s: pow_eq_zero_iff 0.002860 s: unique_factorization_monoid.normalize_factor 0.001127 s: associates.out._match_1 0.000195 s: associates.out._proof_1 0.000280 s: associates.out 0.000393 s: associates.out_mk 0.010712 s: unique_factorization_monoid.factors_mul 0.000843 s: dvd_iff_dvd_of_rel_left 0.000818 s: multiset.prod_dvd_prod 0.013826 s: unique_factorization_monoid.dvd_iff_factors_le_factors 0.000661 s: multiset.subset_erase_dup 0.001908 s: multiset.le_erase_dup 0.000498 s: multiset.nodup.le_erase_dup_iff_le 0.002968 s: multiset.count_eq_one_of_mem 0.001555 s: multiset.mem_nsmul 0.001381 s: multiset.erase_dup_nsmul 0.001420 s: multiset.nodup.le_nsmul_iff_le 0.000589 s: multiplicity.pow_dvd_iff_le_multiplicity 0.000686 s: enat.coe_one 0.000333 s: roption.some_ne_none 0.001522 s: roption.ne_none_iff 0.000376 s: enat.ne_top_iff 0.002446 s: enat.ne_top_of_lt 0.003831 s: enat.add_one_le_of_lt 0.003521 s: enat.add_one_le_iff_lt 0.003289 s: multiplicity.squarefree_iff_multiplicity_le_one 0.004380 s: enat.le_of_lt_add_one 0.000586 s: multiset.repeat_zero 0.000256 s: decidable.not_or_iff_and_not 0.000084 s: list.perm_comm 0.000664 s: list.perm_repeat 0.000139 s: list.repeat_perm 0.000115 s: list.repeat_right_injective 0.000067 s: list.repeat_right_inj 0.001050 s: multiset.repeat_succ 0.008549 s: prime_factors_irreducible 0.002118 s: normalize_eq_normalize_iff 0.000304 s: dvd_of_associated 0.000169 s: dvd_dvd_of_associated 0.000271 s: dvd_dvd_iff_associated 0.005344 s: unique_factorization_monoid.factors_irreducible 0.001475 s: associated_pow_pow 0.022364 s: unique_factorization_monoid.le_multiplicity_iff_repeat_le_factors 0.003860 s: multiset.repeat_le_coe 0.001904 s: multiset.le_count_iff_repeat_le 0.000831 s: add_le_iff_nonpos_right 0.018744 s: unique_factorization_monoid.multiplicity_eq_count_factors 0.006794 s: multiplicity.multiplicity_zero_eq_zero_of_ne_zero 0.001448 s: pow_dvd_pow_of_dvd 0.000527 s: multiplicity.multiplicity_le_multiplicity_of_dvd_left 0.010267 s: unique_factorization_monoid.squarefree_iff_nodup_factors 0.004730 s: unique_factorization_monoid.factors_one 0.001324 s: unique_factorization_monoid.factors_zero 0.013685 s: unique_factorization_monoid.factors_pow 0.001960 s: dvd_pow 0.006062 s: unique_factorization_monoid.dvd_pow_iff_dvd_of_squarefree 0.003059 s: gcd_monoid.prime_of_irreducible 0.000211 s: gcd_monoid.irreducible_iff_prime 0.000217 s: ufm_of_gcd_of_wf_dvd_monoid 0.000054 s: polynomial.gcd_monoid._proof_1 0.000111 s: polynomial.gcd_monoid._proof_2 0.000040 s: polynomial.gcd_monoid._proof_3 0.002269 s: gcd_monoid_of_lcm._proof_1 0.000217 s: gcd_monoid_of_lcm._proof_2 0.000379 s: gcd_monoid_of_lcm._proof_3 0.000236 s: gcd_monoid_of_lcm._proof_4 0.007560 s: gcd_monoid_of_lcm._proof_5 0.008377 s: gcd_monoid_of_lcm._proof_6 0.011391 s: gcd_monoid_of_lcm._proof_7 0.011081 s: gcd_monoid_of_lcm._proof_8 0.008605 s: gcd_monoid_of_lcm._proof_9 0.000194 s: gcd_monoid_of_lcm._proof_10 0.000134 s: gcd_monoid_of_lcm._proof_11 0.003477 s: gcd_monoid_of_lcm 0.000712 s: gcd_monoid_of_exists_lcm._proof_1 0.000657 s: gcd_monoid_of_exists_lcm._proof_2 0.000709 s: gcd_monoid_of_exists_lcm._proof_3 0.000509 s: gcd_monoid_of_exists_lcm._proof_4 0.001162 s: gcd_monoid_of_exists_lcm 0.000122 s: polynomial.gcd_monoid._proof_4 0.000029 s: polynomial.normalization_monoid._proof_1 0.000088 s: polynomial.normalization_monoid._proof_2 0.000046 s: polynomial.normalization_monoid._proof_3 0.000041 s: polynomial.normalization_monoid._proof_4 0.000018 s: polynomial.normalization_monoid._proof_5 0.052230 s: polynomial.normalization_monoid._proof_6 0.059500 s: polynomial.normalization_monoid._proof_7 0.106105 s: polynomial.normalization_monoid._proof_8 0.120333 s: polynomial.normalization_monoid._proof_9 0.012509 s: units.eq_inv_mul_iff_mul_eq 0.098309 s: polynomial.normalization_monoid._proof_10 0.019346 s: polynomial.normalization_monoid 0.000351 s: polynomial.is_primitive 0.000034 s: polynomial.prim_part._proof_1 0.000018 s: polynomial.prim_part._proof_2 0.000057 s: polynomial.content._proof_1 0.000017 s: polynomial.content._proof_2 0.000549 s: gcd_comm 0.000130 s: gcd_monoid.gcd.is_commutative 0.000658 s: gcd_assoc 0.000134 s: gcd_monoid.gcd.is_associative 0.000379 s: finset.gcd 0.000052 s: polynomial.content._proof_3 0.000235 s: polynomial.content 0.007327 s: polynomial.C_dvd_iff_dvd_coeff 0.000172 s: multiset.gcd 0.000271 s: multiset.gcd_zero 0.000330 s: multiset.gcd_cons 0.004405 s: multiset.dvd_gcd 0.001876 s: finset.dvd_gcd_iff 0.000312 s: finset.gcd_dvd 0.031116 s: polynomial.content_dvd_coeff 0.000281 s: polynomial.content.equations._eqn_1 0.047761 s: polynomial.dvd_content_iff_C_dvd 0.006450 s: polynomial.C_content_dvd 0.002683 s: polynomial.prim_part 0.000265 s: finset.gcd_def 0.001623 s: multiset.normalize_gcd 0.001345 s: finset.normalize_gcd 0.000628 s: polynomial.normalize_content 0.002573 s: normalize_coe_units 0.003203 s: normalize_eq_one 0.000329 s: polynomial.is_primitive.equations._eqn_1 0.080985 s: polynomial.is_primitive_iff_content_eq_one 0.000536 s: finset.gcd_empty 0.008400 s: gcd_zero_right 0.006306 s: multiset.gcd_singleton 0.002031 s: finset.gcd_singleton 0.039002 s: polynomial.content_C 0.022821 s: polynomial.content_zero 0.003366 s: polynomial.prim_part.equations._eqn_1 0.003355 s: polynomial.eq_C_content_mul_prim_part 0.001077 s: gcd_eq_left_iff 0.000843 s: gcd_eq_right_iff 0.001584 s: finset.gcd_insert 0.000327 s: gcd_dvd_gcd 0.000406 s: gcd_eq_of_associated_right 0.004182 s: finset.gcd_mul_left 0.035162 s: polynomial.content_C_mul 0.000281 s: polynomial.erase_lead 0.001626 s: finset.erase_empty 0.004504 s: finsupp.erase_zero 0.003073 s: polynomial.erase_lead_zero 0.000531 s: gcd_same 0.001521 s: polynomial.erase_lead_support 0.000747 s: finset.gcd_congr 0.001392 s: polynomial.erase_lead_coeff 0.022807 s: polynomial.content_eq_gcd_leading_coeff_content_erase_lead 0.009284 s: dvd_gcd_mul_of_dvd_mul 0.007259 s: exists_dvd_and_dvd_of_dvd_mul 0.003478 s: gcd_mul_dvd_mul_gcd 0.000463 s: finset.dvd_gcd 0.000289 s: finset.gcd_mono 0.018217 s: polynomial.content_eq_gcd_range_of_lt 0.014136 s: gcd_eq_of_dvd_sub_right 0.024952 s: finset.gcd_eq_of_dvd_sub 0.008736 s: polynomial.gcd_content_eq_of_dvd_sub 0.003442 s: polynomial.erase_lead_add_monomial_nat_degree_leading_coeff 0.001766 s: polynomial.self_sub_monomial_nat_degree_leading_coeff 0.004688 s: polynomial.self_sub_C_mul_X_pow 0.097637 s: polynomial.content_mul_aux 0.010206 s: polynomial.is_primitive.ne_zero 0.003367 s: polynomial.prim_part_zero 0.020332 s: polynomial.is_primitive_one 0.000327 s: multiset.gcd_dvd 0.005564 s: multiset.gcd_eq_zero_iff 0.001810 s: finset.gcd_eq_zero_iff 0.022535 s: polynomial.content_eq_zero_iff 0.048771 s: polynomial.is_primitive_prim_part 0.049638 s: polynomial.prim_part_ne_zero 0.004320 s: polynomial.C_eq_zero 0.040215 s: polynomial.nat_degree_prim_part 0.021353 s: with_bot.add_lt_add_iff_left 0.043586 s: polynomial.is_primitive.content_eq_one 0.000392 s: polynomial.content_prim_part 0.013032 s: with_bot.add_lt_add_iff_right 0.109929 s: polynomial.content_mul 0.057241 s: polynomial.is_primitive.mul 0.120210 s: polynomial.prim_part_mul 0.057431 s: polynomial.is_primitive.prim_part_eq 0.094960 s: polynomial.is_primitive.dvd_prim_part_iff_dvd 0.000633 s: polynomial.cancel_leads 0.009383 s: polynomial.cancel_leads.equations._eqn_1 0.008209 s: polynomial.degree_pow 0.008371 s: nat.cast_with_bot 0.117606 s: polynomial.nat_degree_cancel_leads_lt_of_nat_degree_le_nat_degree 0.097642 s: polynomial.dvd_cancel_leads_of_dvd_of_dvd 0.000207 s: is_unit.equations._eqn_1 0.119938 s: polynomial.is_unit_prim_part_C 0.141009 s: polynomial.exists_primitive_lcm_of_is_primitive 0.099911 s: polynomial.prim_part_dvd 0.014910 s: ring_hom.map_dvd 0.120533 s: polynomial.dvd_iff_content_dvd_content_and_prim_part_dvd_prim_part 0.010386 s: units.mul_left_dvd 0.001893 s: is_unit.mul_left_dvd 0.141519 s: polynomial.gcd_monoid._proof_5 0.014474 s: polynomial.gcd_monoid 0.000157 s: multiset.semilattice_inf_bot._proof_1 0.000293 s: multiset.semilattice_inf_bot._proof_2 0.002371 s: multiset.semilattice_inf_bot._proof_3 0.000547 s: multiset.semilattice_inf_bot._proof_4 0.000360 s: multiset.semilattice_inf_bot._proof_5 0.000359 s: multiset.semilattice_inf_bot._proof_6 0.000486 s: multiset.semilattice_inf_bot._proof_7 0.006811 s: multiset.semilattice_inf_bot 0.000810 s: associates.has_inf 0.000683 s: associates.has_sup 0.002695 s: associates.mk_le_mk_iff_dvd_iff 0.003946 s: associates.out_dvd_iff 0.000118 s: associates.bounded_lattice._proof_1 0.000189 s: associates.bounded_lattice._proof_2 0.000403 s: associates.bounded_lattice._proof_3 0.000271 s: associates.bounded_lattice._proof_4 0.008332 s: associates.bounded_lattice._proof_5 0.009875 s: associates.bounded_lattice._proof_6 0.011166 s: associates.bounded_lattice._proof_7 0.010535 s: associates.bounded_lattice._proof_8 0.009622 s: associates.bounded_lattice._proof_9 0.009955 s: associates.bounded_lattice._proof_10 0.000600 s: associates.bounded_lattice._proof_11 0.000147 s: associates.order_bot._proof_1 0.000172 s: associates.order_bot._proof_2 0.002290 s: associates.order_bot._proof_3 0.000342 s: associates.order_bot._proof_4 0.002991 s: associates.order_bot._proof_5 0.005037 s: associates.order_bot 0.000655 s: associates.bounded_lattice._proof_12 0.009033 s: associates.bounded_lattice 0.007864 s: unique_factorization_monoid.to_gcd_monoid._proof_1 0.007741 s: unique_factorization_monoid.to_gcd_monoid._proof_2 0.000342 s: is_unit.dvd_mul_right 0.004991 s: associates.dvd_out_iff 0.007657 s: unique_factorization_monoid.to_gcd_monoid._proof_3 0.001019 s: associates.normalize_out 0.004149 s: unique_factorization_monoid.to_gcd_monoid._proof_4 0.004233 s: associates.out_mul 0.001118 s: with_top.coe_sup 0.001187 s: with_top.coe_inf 0.009477 s: associates.factor_set.sup_add_inf_eq_add 0.007159 s: associates.sup_mul_inf 0.004482 s: unique_factorization_monoid.to_gcd_monoid._proof_5 0.000063 s: associates.has_top 0.000371 s: associates.out_top 0.002662 s: unique_factorization_monoid.to_gcd_monoid._proof_6 0.001842 s: unique_factorization_monoid.to_gcd_monoid._proof_7 0.003182 s: unique_factorization_monoid.to_gcd_monoid 0.000556 s: normalization_monoid_of_monoid_hom_right_inverse._proof_1 0.001609 s: normalization_monoid_of_monoid_hom_right_inverse._proof_2 0.000359 s: associates.associated_map_mk 0.010447 s: _private.546382863.map_mk_unit_aux 0.025640 s: normalization_monoid_of_monoid_hom_right_inverse._proof_3 0.013399 s: normalization_monoid_of_monoid_hom_right_inverse._proof_4 0.003028 s: normalization_monoid_of_monoid_hom_right_inverse 0.000290 s: associates.mk_surjective 0.000140 s: unique_factorization_monoid.normalization_monoid._proof_1 0.000140 s: associates.comm_cancel_monoid_with_zero._proof_1 0.000170 s: associates.comm_cancel_monoid_with_zero._proof_2 0.000137 s: associates.comm_cancel_monoid_with_zero._proof_3 0.000309 s: associates.comm_cancel_monoid_with_zero._proof_4 0.000312 s: associates.comm_cancel_monoid_with_zero._proof_5 0.000232 s: associates.comm_cancel_monoid_with_zero._proof_6 0.000126 s: associates.comm_cancel_monoid_with_zero._proof_7 0.000143 s: associates.comm_cancel_monoid_with_zero._proof_8 0.008487 s: associates.eq_of_mul_eq_mul_left 0.004307 s: associates.eq_of_mul_eq_mul_right 0.003097 s: associates.comm_cancel_monoid_with_zero 0.000066 s: unique_factorization_monoid.normalization_monoid._proof_2 0.000154 s: normalization_monoid_of_unique_units._proof_1 0.000225 s: normalization_monoid_of_unique_units._proof_2 0.000339 s: normalization_monoid_of_unique_units._proof_3 0.000454 s: normalization_monoid_of_unique_units 0.000095 s: unique_factorization_monoid.normalization_monoid._proof_3 0.000794 s: surjective.well_founded_iff 0.001433 s: is_unit_iff_of_associated 0.010349 s: associates.mk_dvd_not_unit_mk_iff 0.000634 s: wf_dvd_monoid.wf_dvd_monoid_associates 0.001989 s: associates.irreducible_iff_prime_iff 0.005524 s: associates.ufm 0.013783 s: unique_factorization_monoid.normalization_monoid._proof_4 0.024204 s: unique_factorization_monoid.normalization_monoid._proof_5 0.000135 s: associates.mk_monoid_hom._proof_1 0.001004 s: associates.mk_monoid_hom 0.000714 s: associates.mk_monoid_hom_apply 0.006612 s: associated_iff_eq 0.057732 s: unique_factorization_monoid.normalization_monoid._proof_6 0.016914 s: unique_factorization_monoid.normalization_monoid 0.000076 s: unique_factorization_monoid.normalization_monoid.inhabited 0.032792 s: polynomial.unique_factorization_monoid 0.017916 s: is_coprime_self 0.000402 s: is_coprime.of_mul_right_left 0.062646 s: polynomial.is_unit_of_self_mul_dvd_separable 0.161843 s: polynomial.multiplicity_le_one_of_separable 0.126669 s: polynomial.separable.squarefree 0.012208 s: is_coprime.of_add_mul_left_right 0.028577 s: polynomial.separable.of_mul_left 0.001078 s: polynomial.separable.of_dvd 0.030111 s: polynomial.separable_def' 0.010629 s: polynomial.derivative_sub 0.002669 s: polynomial.derivative_one 0.019602 s: polynomial.derivative_pow_succ 0.007235 s: polynomial.derivative_pow 0.001192 s: pow_mul_pow_sub 0.320925 s: polynomial.separable_X_pow_sub_C 0.005526 s: char_p.int_coe_eq_int_coe_iff 0.006123 s: zmod.int_coe_eq_int_coe_iff 0.003849 s: zmod.nat_coe_eq_nat_coe_iff 0.002035 s: nat.modeq.modeq_zero_iff 0.002740 s: zmod.nat_coe_zmod_eq_zero_iff_dvd 0.000633 s: polynomial.map_sub 0.014283 s: localization_map.exist_integer_multiples_of_finset 0.002338 s: localization_map.coeff_integer_normalization._proof_1 0.002627 s: localization_map.coeff_integer_normalization._proof_2 0.002174 s: localization_map.coeff_integer_normalization 0.002335 s: localization_map.coeff_integer_normalization.equations._eqn_1 0.003689 s: localization_map.coeff_integer_normalization_mem_support 0.001492 s: localization_map.integer_normalization 0.001714 s: localization_map.integer_normalization_coeff 0.007998 s: localization_map.integer_normalization_spec 0.010123 s: localization_map.integer_normalization_map_to_map 0.035310 s: polynomial.C_eq_algebra_map 0.604920 s: polynomial.is_primitive.dvd_of_fraction_map_dvd_fraction_map 0.223571 s: polynomial.is_primitive.dvd_iff_fraction_map_dvd_fraction_map 0.000331 s: int.gcd_monoid._proof_1 0.000340 s: int.gcd_monoid._proof_2 0.000233 s: int.gcd_monoid._proof_3 0.000024 s: int.lcm 0.000177 s: int.gcd_dvd_left 0.000053 s: int.gcd_monoid._proof_4 0.000117 s: int.dvd_gcd 0.000105 s: int.gcd_monoid._proof_6 0.000093 s: int.gcd.equations._eqn_1 0.000043 s: int.lcm.equations._eqn_1 0.018610 s: int.gcd_mul_lcm 0.035227 s: int.normalize_of_neg 0.005714 s: int.coe_nat_abs_eq_normalize 0.006262 s: int.gcd_monoid._proof_8 0.003248 s: int.gcd_monoid._proof_9 0.001870 s: int.gcd_monoid._proof_10 0.023659 s: int.gcd_monoid 0.000183 s: fraction_map.int.fraction_map._proof_1 0.000150 s: fraction_map.int.fraction_map._proof_2 0.000201 s: fraction_map.int.fraction_map._proof_3 0.000198 s: fraction_map.int.fraction_map._proof_4 0.000208 s: is_unit_iff_ne_zero 0.114391 s: fraction_map.int.fraction_map._proof_5 0.090929 s: fraction_map.int.fraction_map._proof_6 0.009769 s: int.eq_of_sub_eq_zero 0.000723 s: int.lt_of_sub_pos 0.002411 s: int.mul_sub 0.000319 s: int.sub_pos_of_lt 0.000180 s: int.mul_lt_mul_of_pos_left 0.000165 s: int.mul_neg_of_pos_of_neg 0.002447 s: int.sub_mul 0.000236 s: int.mul_lt_mul_of_pos_right 0.000131 s: int.mul_neg_of_neg_of_pos 0.000298 s: int.neg_lt_neg 0.000107 s: int.lt_of_neg_lt_neg 0.000106 s: int.neg_pos_of_neg 0.002195 s: int.mul_lt_mul_of_neg_right 0.000161 s: int.mul_pos_of_neg_of_neg 0.002717 s: int.eq_zero_or_eq_zero_of_mul_eq_zero 0.000228 s: int.sub_self 0.000159 s: int.sub_eq_zero_of_eq 0.000501 s: int.eq_of_mul_eq_mul_right 0.095652 s: fraction_map.int.fraction_map._proof_7 0.142470 s: fraction_map.int.fraction_map 0.286395 s: polynomial.is_primitive.int.dvd_iff_map_cast_dvd_map_cast 0.040883 s: polynomial.monic.is_primitive 0.016580 s: polynomial.eq_of_monic_of_associated 0.092017 s: is_algebraic_iff_is_integral 0.135709 s: minpoly.degree_le_of_ne_zero 0.186224 s: minpoly.dvd 0.325463 s: minpoly.unique' 0.027026 s: ring_hom.is_unit_map 0.093986 s: polynomial.is_primitive.is_unit_iff_is_unit_map_of_injective 0.329711 s: polynomial.is_primitive.is_unit_iff_is_unit_map 0.000319 s: localization_map.codomain.field 0.025931 s: fraction_map.to_map_eq_zero_iff 0.237187 s: fraction_map.integer_normalization_eq_zero_iff 0.579281 s: polynomial.is_unit_or_eq_zero_of_is_unit_integer_normalization_prim_part 0.093724 s: polynomial.is_primitive.is_primitive_of_dvd 0.109411 s: polynomial.is_primitive.irreducible_of_irreducible_map_of_injective 0.572992 s: polynomial.is_primitive.irreducible_iff_irreducible_map_fraction_map 0.282567 s: polynomial.is_primitive.int.irreducible_iff_irreducible_map_cast 0.055626 s: add_comm_group.int_is_scalar_tower 0.471063 s: minpoly.over_int_eq_over_rat 0.491430 s: minpoly.integer_dvd 0.037032 s: polynomial.aeval_X_pow 0.002394 s: polynomial.aeval_one 0.173909 s: is_primitive_root.minpoly_dvd_X_pow_sub_one 0.193401 s: is_primitive_root.separable_minpoly_mod 0.108175 s: is_primitive_root.squarefree_minpoly_mod 0.041164 s: polynomial.coe_expand 0.007973 s: polynomial.coeff_expand_mul 0.003847 s: polynomial.expand_inj 0.001672 s: polynomial.expand_eq_zero 0.041227 s: polynomial.nat_degree_expand 0.008317 s: polynomial.coeff_expand_mul' 0.000205 s: is_primitive_root.pow_of_prime 0.212382 s: is_primitive_root.minpoly_dvd_expand 0.102098 s: is_primitive_root.minpoly_dvd_pow_mod 0.334090 s: is_primitive_root.minpoly_dvd_mod_p 0.084606 s: polynomial.squarefree_X_pow_sub_C 0.015433 s: is_coprime.mul_dvd 0.001614 s: euclidean_domain.xgcd_aux._main._pack 0.000057 s: euclidean_domain.xgcd_aux._main 0.000062 s: euclidean_domain.xgcd_aux 0.000128 s: euclidean_domain.xgcd 0.000052 s: euclidean_domain.gcd_a 0.000233 s: euclidean_domain.gcd_b 0.000311 s: _private.4190186413.P._main 0.000036 s: _private.4190186413.P 0.000406 s: euclidean_domain.xgcd_val 0.000218 s: euclidean_domain.xgcd.equations._eqn_1 0.002182 s: euclidean_domain.xgcd_aux._main._pack.equations._eqn_1 0.000628 s: euclidean_domain.xgcd_aux._main.equations._eqn_1 0.000543 s: euclidean_domain.xgcd_aux.equations._eqn_1 0.001123 s: euclidean_domain.xgcd_zero_left 0.001085 s: euclidean_domain.xgcd_aux_rec 0.001527 s: euclidean_domain.xgcd_aux_fst 0.000902 s: euclidean_domain.xgcd_aux_val 0.000230 s: _private.4190186413.P._main.equations._eqn_1 0.000167 s: _private.4190186413.P.equations._eqn_1 0.005640 s: euclidean_domain.xgcd_aux_P 0.005056 s: euclidean_domain.gcd_eq_gcd_ab 0.007437 s: euclidean_domain.gcd_dvd 0.000268 s: euclidean_domain.gcd_dvd_left 0.000206 s: euclidean_domain.gcd_dvd_right 0.138050 s: gcd_is_unit_iff 0.021281 s: euclidean_domain.gcd_eq_zero_iff 0.056153 s: is_coprime_of_dvd 0.038018 s: dvd_or_coprime 0.035196 s: polynomial.div_mod_by_monic_unique 0.000293 s: polynomial.monic.ne_zero_of_ne 0.011345 s: polynomial.map_mod_div_by_monic 0.000737 s: polynomial.map_mod_by_monic 0.001637 s: polynomial.map_dvd_map 0.000666 s: dvd_symm_of_irreducible 0.960150 s: is_primitive_root.minpoly_eq_pow 0.001427 s: nat.coprime.coprime_mul_right 0.099680 s: is_primitive_root.minpoly_eq_pow_coprime 0.026884 s: is_primitive_root.pow_is_root_minpoly 0.141049 s: is_primitive_root.is_roots_of_minpoly 0.016886 s: polynomial.card_roots' 0.013096 s: polynomial.nat_degree_map_le 0.106247 s: is_primitive_root.totient_le_degree_minpoly 0.000791 s: set.maps_to_sUnion 0.000209 s: locally_constant.no_confusion_type 0.000175 s: has_fix 0.000058 s: has_fix.fix 0.001029 s: lawful_fix 0.000058 s: nat.coprime.coprime_dvd_right 0.000035 s: nat.coprime.gcd_right 0.000031 s: nat.coprime.gcd_left 0.000035 s: nat.coprime.gcd_both 0.073145 s: polynomial.sup_aeval_range_eq_top_of_coprime 0.010571 s: submodule.comap_map_mkq 0.012573 s: submodule.map_smul'' 0.000440 s: smodeq.def 0.001452 s: smodeq.zero 0.080196 s: Hausdorffification.is_Hausdorff 0.020000 s: has_fderiv_within_at.add 0.000308 s: equiv.vadd_const._proof_1 0.000168 s: equiv.vadd_const._proof_2 0.000377 s: equiv.vadd_const 0.000353 s: affine_equiv.vadd_const._proof_1 0.002135 s: affine_equiv.vadd_const 0.000964 s: vsub_sub_vsub_comm 0.001104 s: dist_vsub_vsub_le 0.001649 s: nndist_vsub_vsub_le 0.001498 s: edist_vsub_vsub_le 0.036070 s: lipschitz_with.vsub 0.006988 s: uniform_continuous_vsub 0.001513 s: continuous_vsub 0.001712 s: continuous.vsub 0.001017 s: dist_vadd_cancel_right 0.000925 s: vadd_vsub_vadd_cancel_left 0.000871 s: dist_vadd_cancel_left 0.000704 s: dist_vadd_vadd_le 0.000975 s: nndist_vadd_vadd_le 0.000884 s: edist_vadd_vadd_le 0.027854 s: lipschitz_with.vadd 0.010693 s: uniform_continuous_vadd 0.001101 s: continuous_vadd 0.001856 s: continuous.vadd 0.064769 s: affine_map.of_map_midpoint._proof_6 0.000986 s: has_measurable_div 0.000154 s: has_measurable_div.measurable_div_const 0.000403 s: ae_measurable.div_const 0.002184 s: nat.gcd_dvd_gcd_mul_left 0.000034 s: monoid.End 0.000182 s: monoid.End.has_coe_to_fun 0.016676 s: monoid_hom.comp_assoc 0.000309 s: monoid.End.monoid._proof_1 0.000860 s: monoid_hom.id_comp 0.000598 s: monoid_hom.comp_id 0.002226 s: monoid.End.monoid._proof_2 0.001491 s: monoid.End.monoid._proof_3 0.002521 s: monoid.End.monoid 0.000608 s: monoid.coe_mul 0.005072 s: category_theory.monoidal_category.tensor._proof_2 0.040901 s: mfderiv_within_subset 0.000080 s: pnat.prime 0.000019 s: nat.primes 0.000017 s: prime_multiset 0.000094 s: nat.primes.coe_nat 0.000093 s: nat.primes.coe_pnat._proof_1 0.000178 s: nat.primes.coe_pnat 0.000085 s: prime_multiset.to_pnat_multiset 0.000021 s: prime_multiset.coe_pnat 0.000151 s: prime_multiset.of_pnat_multiset 0.000082 s: coe_b.equations._eqn_1 0.012983 s: prime_multiset.to_of_pnat_multiset 0.000078 s: polynomial.is_splitting_field.lift._proof_1 0.146933 s: polynomial.is_splitting_field.adjoin_roots 0.056880 s: polynomial.roots_zero 0.038762 s: polynomial.roots_mul 0.041995 s: polynomial.roots_C 0.025404 s: polynomial.map_multiset_prod 0.005898 s: polynomial.roots_one 0.000399 s: list.prod_ne_zero 0.041065 s: polynomial.roots_list_prod 0.080327 s: polynomial.roots_multiset_prod 0.015819 s: multiset.bind_map 0.034788 s: polynomial.roots_X_sub_C 0.013776 s: multiset.bind_cons 0.001315 s: polynomial.zero_nmem_multiset_map_X_sub_C 0.000160 s: polynomial.coeff_nat_degree 0.001366 s: polynomial.leading_coeff_map 0.001464 s: polynomial.C_bit1 0.002428 s: polynomial.coe_norm_unit 0.308823 s: polynomial.coe_norm_unit_of_ne_zero 0.559476 s: polynomial.exists_multiset_of_splits 0.749999 s: polynomial.roots_map 0.002391 s: algebra.adjoin_le_iff 0.006068 s: multiset.erase_dup_ext 0.005368 s: multiset.erase_dup_map_erase_dup_eq 0.003270 s: multiset.to_finset_map 0.000156 s: ring_equiv.refl._proof_1 0.000149 s: ring_equiv.refl._proof_2 0.000117 s: ring_equiv.refl._proof_3 0.000133 s: ring_equiv.refl._proof_4 0.000746 s: ring_equiv.refl 0.004853 s: ring_equiv.to_ring_hom_refl 0.004250 s: algebra.surjective_algebra_map_iff 0.037498 s: algebra.bijective_algebra_map_iff 0.003377 s: ring_equiv.cases_on 0.006201 s: ring_equiv.ext 0.002367 s: ring_equiv.trans_symm 0.004610 s: ring_equiv.to_ring_hom_trans 0.313803 s: polynomial.splits_of_splits_id 0.034925 s: polynomial.splits_comp_of_splits 0.104094 s: polynomial.is_splitting_field.splits 0.182923 s: polynomial.is_splitting_field.splits_iff 0.020815 s: polynomial.is_splitting_field.lift._proof_2 0.002565 s: algebra.to_top._proof_1 0.002407 s: algebra.to_top._proof_2 0.002435 s: algebra.to_top._proof_3 0.002079 s: algebra.to_top._proof_4 0.002329 s: algebra.to_top._proof_5 0.015885 s: algebra.to_top 0.153941 s: polynomial.is_splitting_field.lift._proof_3 0.091606 s: linear_map.surjective_of_injective 0.000266 s: function.right_inverse_inv_fun 0.017008 s: linear_map.exists_right_inverse_of_surjective 0.002513 s: linear_map.injective_iff_surjective 0.078065 s: field_of_finite_dimensional._proof_1 0.086343 s: field_of_finite_dimensional._proof_2 0.129946 s: field_of_finite_dimensional._proof_3 0.157052 s: field_of_finite_dimensional._proof_4 0.122865 s: field_of_finite_dimensional 0.170122 s: finite_dimensional.of_subalgebra_to_submodule 0.018408 s: polynomial.splits_of_splits_of_dvd 0.009653 s: is_scalar_tower.of_ring_hom 0.038069 s: is_scalar_tower.subalgebra' 0.006037 s: subalgebra.of_under._proof_1 0.002392 s: subalgebra.of_under._proof_2 0.002297 s: subalgebra.of_under._proof_3 0.001978 s: subalgebra.of_under._proof_4 0.019710 s: subalgebra.of_under._proof_5 0.022325 s: subalgebra.of_under 0.108494 s: adjoin_root.lift._proof_1 0.078906 s: adjoin_root.lift 0.030401 s: adjoin_root.lift_hom._proof_1 0.019805 s: adjoin_root.lift_hom._proof_2 0.024473 s: adjoin_root.lift_hom._proof_3 0.023098 s: adjoin_root.lift_hom._proof_4 0.085587 s: adjoin_root.lift_mk 0.014219 s: adjoin_root.lift_of 0.024422 s: adjoin_root.lift_hom._proof_5 0.027064 s: adjoin_root.lift_hom 0.020134 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly._proof_1 0.059186 s: adjoin_root.induction_on 0.043974 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly._proof_2 0.015318 s: alg_hom.injective_cod_restrict 0.002027 s: alg_hom.injective_iff 0.065677 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly._match_1 0.178468 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly._proof_3 0.025117 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly 3.007851 s: lift_of_splits 0.260020 s: polynomial.is_splitting_field.lift._proof_4 0.138716 s: polynomial.is_splitting_field.lift 0.014957 s: algebra.eq_top_iff 0.002627 s: subalgebra.map._proof_1 0.002123 s: subalgebra.map._proof_2 0.002130 s: subalgebra.map._proof_3 0.002436 s: subalgebra.map._proof_4 0.006912 s: subalgebra.map._proof_5 0.001933 s: subalgebra.map 0.000563 s: subalgebra.comap'._proof_1 0.000492 s: subalgebra.comap'._proof_3 0.000733 s: subalgebra.comap'._proof_4 0.002826 s: subalgebra.comap' 0.005199 s: subalgebra.map_le 0.028216 s: algebra.adjoin_algebra_map 0.034601 s: adjoin_root.adjoin_root_eq_top 0.015937 s: algebra.map_top 0.005082 s: subalgebra.res._proof_1 0.002277 s: subalgebra.res 0.012613 s: is_scalar_tower.range_under_adjoin 0.006678 s: subalgebra.res_top 0.609366 s: polynomial.splitting_field_aux.adjoin_roots 0.102636 s: polynomial.splitting_field.adjoin_roots 0.000763 s: polynomial.is_splitting_field.splitting_field 0.071364 s: polynomial.gal.algebra._proof_1 0.126499 s: polynomial.gal.algebra 0.000105 s: CommMon.has_coe_to_sort 0.000066 s: CommMon.of 0.000276 s: CommMon.coe_of 0.016884 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_1 0.005892 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_2 0.007160 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_3 0.001201 s: quotient_group.preimage_mk_equiv_subgroup_times_set._proof_1 0.003734 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_4 0.001031 s: quotient_group.preimage_mk_equiv_subgroup_times_set._proof_2 0.001793 s: quotient_group.preimage_mk_equiv_subgroup_times_set._proof_3 0.001681 s: quotient_group.preimage_mk_equiv_subgroup_times_set 0.001755 s: quotient_group.preimage_mk_equiv_subgroup_times_set.equations._eqn_1 0.002418 s: unique_mdiff_within_at.inter 0.001052 s: is_open.unique_mdiff_within_at 0.001509 s: real.arcsin_lt_iff_lt_sin' 0.007666 s: real.arcsin_lt_pi_div_two 0.000812 s: real.arcsin_eq_pi_div_two 0.000253 s: real.pi_div_two_eq_arcsin 0.001739 s: real.arccos_eq_zero 0.000704 s: semilattice_sup.mk'._proof_1 0.000119 s: semilattice_sup.mk'._proof_2 0.002507 s: semilattice_sup.mk'._proof_3 0.000434 s: semilattice_sup.mk'._proof_4 0.000352 s: semilattice_sup.mk'._proof_5 0.010695 s: 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linear_equiv.of_submodule 0.006997 s: linear_equiv.of_submodules 0.003218 s: linear_equiv.of_submodules.equations._eqn_1 0.000388 s: CommSemiRing.has_forget_to_CommMon._proof_1 0.019851 s: CommSemiRing.has_forget_to_CommMon._proof_2 0.012342 s: CommSemiRing.has_forget_to_CommMon 0.000387 s: equiv.to_local_equiv_source 0.003859 s: model_with_corners.trans_diffeomorph._proof_1 0.000248 s: equiv.to_local_equiv_target 0.001424 s: equiv.to_local_equiv_symm_coe 0.003222 s: diffeomorph.to_equiv_coe_symm 0.002988 s: diffeomorph.image_eq_preimage 0.004502 s: diffeomorph.symm_image_eq_preimage 0.000247 s: unique_mdiff_on 0.000375 s: unique_mdiff_on.equations._eqn_1 0.006540 s: unique_mdiff_within_at_iff_unique_diff_within_at 0.000275 s: unique_diff_on.equations._eqn_1 0.002158 s: unique_mdiff_on_iff_unique_diff_on 0.001356 s: equiv.symm_image_image 0.003779 s: diffeomorph.symm_image_image 0.002740 s: diffeomorph.continuous 0.002962 s: diffeomorph.to_homeomorph._proof_1 0.003585 s: diffeomorph.to_homeomorph 0.003494 s: diffeomorph.coe_to_homeomorph_symm 0.000706 s: unique_diff_within_at.mono 0.000430 s: dense_range.dense_of_maps_to 0.000388 s: set.maps_to.mono 0.019016 s: has_fderiv_within_at.maps_to_tangent_cone 0.002583 s: unique_diff_within_at.mem_closure 0.011994 s: has_fderiv_within_at.unique_diff_within_at 0.003209 s: differentiable_within_at.congr_mono 0.000566 s: differentiable_within_at.congr 0.047217 s: mdifferentiable_at.comp 0.029680 s: local_homeomorph.mdifferentiable.trans 0.004394 s: unique_mdiff_within_at_iff 0.073506 s: mdifferentiable_at.mfderiv 0.084625 s: local_homeomorph.mdifferentiable.mfderiv_surjective 0.202893 s: unique_mdiff_on.unique_mdiff_on_preimage 0.001978 s: mdifferentiable_on.mono 0.002133 s: mdifferentiable_on.equations._eqn_1 0.002793 s: mdifferentiable_on_univ 0.003492 s: mdifferentiable.mdifferentiable_on 0.005510 s: diffeomorph.times_cont_mdiff 0.005499 s: diffeomorph.mdifferentiable 0.003748 s: diffeomorph.mdifferentiable_on 0.005657 s: diffeomorph.to_local_homeomorph_mdifferentiable 0.009362 s: diffeomorph.unique_mdiff_on_image_aux 0.007541 s: diffeomorph.unique_mdiff_on_image 0.004682 s: diffeomorph.unique_diff_on_image 0.005036 s: diffeomorph.unique_diff_on_preimage 0.016746 s: model_with_corners.trans_diffeomorph._proof_2 0.005387 s: model_with_corners.trans_diffeomorph._proof_3 0.004198 s: model_with_corners.trans_diffeomorph._proof_4 0.008505 s: model_with_corners.trans_diffeomorph 0.010584 s: model_with_corners.trans_diffeomorph.equations._eqn_1 0.001538 s: direct_sum.ghas_mul.cases_on 0.000424 s: direct_sum.ghas_mul.no_confusion_type 0.000763 s: direct_sum.ghas_mul.no_confusion 0.000055 s: Well_order.α 0.000103 s: Well_order.r 0.000101 s: Well_order.wo 0.000161 s: ordinal.out._proof_1 0.000277 s: ordinal.out 0.000422 s: ordinal.type_out 0.000221 s: ordinal.type_out' 0.000743 s: nim._main._pack 0.000018 s: nim._main 0.000602 s: lists'.to_list._main.equations._eqn_2 0.000076 s: lists'.to_list.equations._eqn_2 0.000137 s: cardinal.is_strong_limit 0.000081 s: cardinal.is_limit 0.001351 s: cardinal.is_strong_limit.is_limit 0.001118 s: asymptotics.is_o_of_tendsto' 0.004771 s: filter.map_coe_Iic_at_bot 0.001248 s: filter.tendsto_comp_coe_Iic_at_bot 0.007469 s: commute.mul_fpow 0.000303 s: fpow_bit0' 0.001654 s: fpow_bit0_neg 0.001832 s: fpow_even_neg 0.086501 s: fpow_even_abs 0.137360 s: fpow_even_nonneg 0.042454 s: abs_fpow_even 0.000411 s: mv_polynomial.ext_iff 0.006357 s: mv_polynomial.coeff_C 0.007561 s: mv_polynomial.coeff_add 0.034274 s: mv_polynomial.mul_def 0.004333 s: mul_eq_zero_of_ne_zero_imp_eq_zero 0.032300 s: mv_polynomial.coeff_mul 0.000809 s: mv_polynomial.coeff_monomial 0.013395 s: mv_polynomial.coeff_X_pow 0.001596 s: mv_polynomial.coeff_X' 0.000702 s: mv_polynomial.coeff_X 0.031962 s: mv_polynomial.coeff_mul_X 0.001700 s: finsupp.coe_nat_sub 0.005916 s: mv_polynomial.not_mem_support_iff 0.021769 s: mv_polynomial.support_mul 0.006159 s: mv_polynomial.support_monomial 0.001105 s: mv_polynomial.support_X 0.555140 s: mv_polynomial.coeff_mul_X' 0.007184 s: mv_polynomial.coeff_map 0.001870 s: mv_polynomial.map_injective 0.003459 s: mv_polynomial.map_comp_C 0.004973 s: mv_polynomial.eval_map 0.006839 s: mv_polynomial.map_map 0.002418 s: mv_polynomial.eval₂_map 0.002595 s: mv_polynomial.eval₂_hom_map_hom 0.051127 s: mv_polynomial.map_bind₁ 0.116869 s: map_witt_polynomial 0.013620 s: alg_hom.coe_monoid_hom 0.019057 s: add_monoid_algebra.alg_hom_ext' 0.060780 s: mv_polynomial.alg_hom_ext 0.011155 s: mv_polynomial.comp_aeval 0.008925 s: mv_polynomial.bind₁_bind₁ 0.418525 s: witt_vector.poly_eq_of_witt_polynomial_bind_eq' 0.040225 s: pi.ring_hom._proof_1 0.005042 s: pi.ring_hom._proof_2 0.003746 s: pi.ring_hom._proof_3 0.005489 s: pi.ring_hom._proof_4 0.001984 s: pi.ring_hom 0.001801 s: pi.ring_hom_apply 0.006294 s: pi.algebra._proof_6 0.001922 s: linear_map.comp_alternating_map._proof_1 0.001735 s: linear_map.comp_alternating_map._proof_2 0.003062 s: linear_map.coe_comp_multilinear_map 0.004704 s: linear_map.comp_alternating_map._proof_3 0.022576 s: linear_map.comp_alternating_map._proof_4 0.036608 s: linear_map.comp_alternating_map._proof_5 0.020952 s: linear_map.comp_alternating_map 0.012857 s: linear_map.comp_multilinear_map_dom_dom_congr 0.006032 s: linear_map.coe_comp_alternating_map 0.027295 s: linear_map.compatible_smul.int_module._proof_1 0.007370 s: linear_map.compatible_smul.int_module 0.034284 s: linear_map.comp_multilinear_map_alternatization 0.013812 s: category_theory.limits.cocone_of_cone_left_op 0.011172 s: category_theory.limits.cocone_of_cone_left_op_ι_app 0.000370 s: has_monad_lift 0.000266 s: except_t.lift 0.000171 s: except_t.has_monad_lift 0.000515 s: mul_equiv.refl.equations._eqn_1 0.000349 s: monad_io_file_system.rmdir 0.000033 s: io.fs.rmdir 0.000034 s: io.fs.rmdir.equations._eqn_1 0.000096 s: rel.core 0.000597 s: rel.mem_core 0.001824 s: rel.core_univ 0.000928 s: filter.rmap._proof_1 0.000385 s: rel.core_subset 0.003332 s: rel.core_mono 0.003517 s: filter.rmap._proof_2 0.002465 s: rel.core_inter 0.001260 s: filter.rmap._proof_3 0.000499 s: filter.rmap 0.000567 s: filter.mem_rmap 0.000027 s: vector3 0.000117 s: poly.has_coe_to_fun 0.000122 s: sum.join 0.000191 s: dioph 0.000442 s: vector3.nil._main 0.000028 s: vector3.nil 0.000594 s: fin2.cases'._main 0.000070 s: fin2.cases' 0.000067 s: vector3.cons 0.000296 s: vector3.eq_nil 0.000103 s: vector3.nil_elim._proof_1 0.000069 s: vector3.nil_elim 0.000028 s: vector3.head 0.000039 s: vector3.tail 0.000755 s: vector3.cons_head_tail 0.000133 s: vector3.cons_elim._proof_1 0.000107 s: vector3.cons_elim 0.000224 s: vector3.rec_on 0.000114 s: vector_allp 0.000092 s: dioph.dioph_fn 0.000150 s: dioph.ext 0.000455 s: poly.proj_eval 0.000139 s: poly.const_eval 0.001067 s: poly.sub_eval 0.000702 s: poly.mul_eval 0.001486 s: poly.remap._proof_1 0.000177 s: poly.remap 0.000493 s: poly.remap_eval 0.002292 s: dioph.reindex_dioph 0.002150 s: vector_allp_cons 0.000332 s: pfun.fn 0.000186 s: pfun.graph 0.000118 s: dioph.dioph_pfun 0.005035 s: dioph.ex1_dioph 0.000752 s: list_all._main 0.000049 s: list_all 0.000035 s: poly.zero 0.000031 s: poly.has_zero 0.000304 s: poly.isp 0.000491 s: poly.subst._proof_1 0.000203 s: poly.subst 0.000078 s: poly.neg 0.000082 s: poly.has_neg 0.008176 s: poly.add._main 0.000030 s: poly.add 0.000041 s: poly.has_add 0.000318 s: poly.sumsq._main 0.000045 s: poly.sumsq 0.000959 s: list_all_cons 0.001180 s: poly.sumsq._main.equations._eqn_2 0.000125 s: poly.sumsq.equations._eqn_2 0.001400 s: poly.add_eval 0.021561 s: poly.sumsq_nonneg 0.041074 s: poly.sumsq_eq_zero 0.000430 s: list_all._main.equations._eqn_1 0.000091 s: list_all.equations._eqn_1 0.008903 s: list_all_map 0.001359 s: list_all.imp 0.012241 s: dioph.dioph_list_all 0.001165 s: dioph.and_dioph 0.000271 s: pfun.fn.equations._eqn_1 0.004587 s: dioph.dioph_pfun_comp1 0.001513 s: pfun.lift_graph 0.001027 s: dioph.dioph_fn_iff_pfun 0.000982 s: dioph.dioph_fn_comp1 0.000999 s: dioph.reindex_dioph_fn 0.007241 s: dioph.dioph_fn_compn 0.000412 s: dioph.dioph_comp 0.008271 s: matrix.unitary_group.coe_fun 0.026463 s: matrix.unitary_group.to_linear_equiv._proof_1 0.030447 s: matrix.unitary_group.to_linear_equiv._proof_2 0.020163 s: matrix.unitary_group.to_lin' 0.010043 s: matrix.unitary_group.has_inv 0.004388 s: matrix.unitary_group.monoid 0.014045 s: matrix.unitary_group.to_lin'_mul 0.000405 s: matrix.unitary_group.group._proof_1 0.000298 s: matrix.unitary_group.group._proof_2 0.000252 s: matrix.unitary_group.group._proof_3 0.002812 s: matrix.unitary_group.group._proof_4 0.000589 s: matrix.unitary_group.group._proof_5 0.000325 s: matrix.unitary_group.group._proof_6 0.000287 s: matrix.unitary_group.group._proof_7 0.000212 s: matrix.unitary_group.group._proof_8 0.000384 s: matrix.unitary_group.group._proof_9 0.000328 s: matrix.unitary_group.group._proof_10 0.000995 s: matrix.unitary_group.group._proof_11 0.015337 s: matrix.unitary_group.group._proof_12 0.006016 s: matrix.unitary_group.group 0.006781 s: matrix.unitary_group.to_lin'_one 0.058060 s: matrix.unitary_group.to_linear_equiv._proof_3 0.067069 s: matrix.unitary_group.to_linear_equiv._proof_4 0.028212 s: matrix.unitary_group.to_linear_equiv 0.005187 s: matrix.one_map 0.001471 s: matrix.ring_hom_map_one 0.003834 s: ring_hom.map_matrix._proof_1 0.003024 s: matrix.map_mul 0.000933 s: ring_hom.map_matrix._proof_2 0.000152 s: matrix.add_monoid 0.000208 s: dmatrix.has_zero 0.000540 s: dmatrix.zero_apply 0.001631 s: matrix.map_zero 0.004037 s: add_monoid_hom.map_matrix._proof_1 0.002878 s: matrix.map_add 0.002390 s: add_monoid_hom.map_matrix 0.000843 s: ring_hom.map_matrix._proof_3 0.000687 s: ring_hom.map_matrix._proof_4 0.025145 s: ring_hom.map_matrix 0.005694 s: char_matrix 0.001973 s: char_matrix.equations._eqn_1 0.001402 s: ring_hom.map_matrix_apply 0.000199 s: dmatrix.has_sub 0.000693 s: dmatrix.sub_apply 0.001123 s: matrix.coe_scalar 0.002097 s: matrix.scalar_apply_eq 0.003797 s: char_matrix_apply_eq 0.003442 s: matrix.scalar_apply_ne 0.004935 s: char_matrix_apply_ne 0.005339 s: char_matrix_apply_nat_degree_le 0.005136 s: int.coe_pred_of_pos 0.002213 s: int.to_nat_pred_coe_of_pos 0.000739 s: set.preimage_add_right_singleton 0.000254 s: has_lift 0.000084 s: has_lift.cases_on 0.000151 s: znum.bitm1._main.equations._eqn_3 0.000032 s: znum.bitm1.equations._eqn_3 0.000302 s: list.countp_nil 0.000497 s: equiv.field._proof_3 0.000508 s: fin2.insert_perm._match_1 0.001611 s: fin2.insert_perm._main 0.000324 s: free_add_semigroup.lift'._main 0.000055 s: free_add_semigroup.lift' 0.000125 s: free_add_semigroup.lift 0.000047 s: free_add_semigroup.of 0.000440 s: free_add_semigroup.monad 0.001149 s: free_add_semigroup.rec_on 0.000404 s: free_add_semigroup.rec_on' 0.000291 s: opposite.op_inv 0.000111 s: fin_enum.of_list._proof_2 0.000036 s: zero_hom.has_zero._proof_1 0.000191 s: zero_hom.has_zero 0.000076 s: nat.arithmetic_function.has_zero 0.000228 s: zero_hom.cases_on 0.001312 s: zero_hom.coe_inj 0.000343 s: zero_hom.ext 0.000382 s: nat.arithmetic_function.ext 0.001556 s: nat.arithmetic_function.add_monoid._proof_6 0.000090 s: nat.succ_ne_succ 0.000091 s: nat.succ_succ_ne_one 0.001205 s: is_unit.lift_right.equations._eqn_1 0.000015 s: simps_cfg.simp_rhs._default 0.000257 s: emetric.Hausdorff_edist 0.000239 s: emetric.Hausdorff_edist.equations._eqn_1 0.015211 s: emetric.Hausdorff_edist_le_of_inf_edist 0.000424 s: filter.eventually_top 0.011898 s: filter.Limsup_top 0.000121 s: category_theory.limits.has_binary_biproducts.has_binary_biproduct 0.002593 s: category_theory.limits.bicone.to_binary_bicone._proof_1 0.001959 s: category_theory.limits.bicone.to_binary_bicone._proof_2 0.001857 s: category_theory.limits.bicone.to_binary_bicone._proof_3 0.001570 s: category_theory.limits.bicone.to_binary_bicone._proof_4 0.001342 s: category_theory.limits.bicone.to_binary_bicone 0.010335 s: category_theory.limits.bicone.to_binary_bicone_is_limit._proof_1 0.009253 s: category_theory.limits.bicone.to_binary_bicone_is_limit._proof_2 0.003559 s: category_theory.limits.bicone.to_binary_bicone_is_limit 0.000919 s: category_theory.limits.limit_bicone.is_limit 0.000449 s: category_theory.limits.biproduct.is_limit 0.011732 s: category_theory.limits.bicone.to_binary_bicone_is_colimit._proof_1 0.008606 s: category_theory.limits.bicone.to_binary_bicone_is_colimit._proof_2 0.004036 s: category_theory.limits.bicone.to_binary_bicone_is_colimit 0.001489 s: category_theory.limits.has_binary_biproducts_of_finite_biproducts 0.000217 s: category_theory.abelian.has_binary_biproducts 0.000102 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_2 0.004412 s: category_theory.limits.biprod.hom_ext' 0.000611 s: category_theory.limits.biprod.inl_fst 0.001086 s: category_theory.limits.biprod.inl_fst_assoc 0.000859 s: category_theory.limits.biprod.inl_snd_assoc 0.000463 s: category_theory.limits.biprod.inr_fst 0.000887 s: category_theory.limits.biprod.inr_fst_assoc 0.000357 s: category_theory.limits.biprod.inr_snd 0.000717 s: category_theory.limits.biprod.inr_snd_assoc 0.003322 s: category_theory.limits.biprod.desc_eq 0.007572 s: category_theory.abelian.pullback_to_biproduct_is_kernel.is_limit_pullback_to_biproduct._proof_1 0.000115 s: ulift.has_scalar' 0.000544 s: ulift.smul_down' 0.002223 s: ulift.mul_action'._proof_1 0.001808 s: ulift.mul_action'._proof_2 0.000619 s: ulift.mul_action' 0.000487 s: ulift.mul_action'.equations._eqn_1 0.001377 s: equiv.subtype_subtype_equiv_subtype_exists._match_3.equations._eqn_1 0.002332 s: setoid.correspondence._proof_3 0.001882 s: smooth_map_add_comm_monoid._proof_5 0.001186 s: category_theory.sheaf.finest_topology_single._proof_1 0.001509 s: category_theory.sieve.pullback_comp 0.001425 s: category_theory.sheaf.finest_topology_single._proof_2 0.004808 s: category_theory.presieve.family_of_elements.restrict.equations._eqn_1 0.010359 s: category_theory.presieve.is_sheaf_for_subsieve_aux 0.000287 s: category_theory.presieve.bind 0.004351 s: category_theory.sieve.bind._proof_1 0.000509 s: category_theory.sieve.bind 0.000953 s: category_theory.presieve.bind_comp 0.000815 s: category_theory.sieve.bind_apply 0.053392 s: category_theory.sheaf.is_sheaf_for_bind 0.015330 s: category_theory.sheaf.is_sheaf_for_trans 0.002956 s: category_theory.sheaf.finest_topology_single._proof_3 0.001021 s: category_theory.sheaf.finest_topology_single 0.000166 s: category_theory.sheaf.finest_topology 0.000221 s: category_theory.sheaf.canonical_topology 0.000197 s: category_theory.sheaf.canonical_topology.equations._eqn_1 0.001107 s: ite_pow 0.000674 s: quaternion.algebra 0.015050 s: quaternion.conj 0.014228 s: quaternion.conj_conj 0.000250 s: ordnode.balance' 0.000314 s: ordnode.balance'.equations._eqn_1 0.000228 s: ordnode.size._main.equations._eqn_2 0.000062 s: ordnode.size.equations._eqn_2 0.000083 s: ordnode.size._main.equations._eqn_1 0.000035 s: ordnode.size.equations._eqn_1 0.007924 s: ordnode.node3_l_size 0.011217 s: ordnode.node4_l_size 0.007475 s: ordnode.sized.rotate_l_size 0.007190 s: ordnode.sized.dual 0.002315 s: ordnode.sized.rotate_r_size 0.001669 s: ordnode.size_balance' 0.001628 s: geom_sum₂_mul 0.000229 s: geom_sum₂_def 0.002034 s: ring_hom.map_geom_sum₂ 0.027137 s: geom_sum₂_self 0.025905 s: dvd_sub_pow_of_dvd_sub 0.016565 s: ideal.closure._proof_1 0.019879 s: ideal.closure._proof_2 0.006435 s: ideal.closure._proof_3 0.009560 s: ideal.closure 0.001609 s: ideal.coe_closure 0.000091 s: triv_sq_zero_ext.inr 0.000185 s: triv_sq_zero_ext.snd_inr 0.000131 s: format.color.cases_on 0.001117 s: format.color.to_string._main 0.000206 s: format.color.to_string._main.equations._eqn_4 0.000100 s: nat.mul._sunfold 0.001106 s: category_theory.presieve.is_sheaf_for.amalgamate.equations._eqn_1 0.000756 s: nat.sub_induction._main 0.000113 s: nat.sub_induction 0.000616 s: nat.sub_induction._main.equations._eqn_2 0.000211 s: nat.sub_induction.equations._eqn_2 0.002481 s: mv_polynomial.degrees 0.000118 s: mv_polynomial.vars 0.000156 s: mv_polynomial.vars.equations._eqn_1 0.006126 s: mv_polynomial.degrees_monomial 0.005001 s: mv_polynomial.degrees_monomial_eq 0.004639 s: finsupp.to_multiset_zero 0.001953 s: finsupp.to_multiset_add 0.000304 s: finset.union_idempotent 0.008140 s: multiset.to_finset_nsmul 0.009041 s: finsupp.to_finset_to_multiset 0.002656 s: mv_polynomial.vars_monomial 0.001273 s: fixed_points.f_le_Inf_of_fixed_points 0.001546 s: fixed_points.complete_lattice._match_5 0.001342 s: fixed_points.complete_lattice._proof_18 0.000077 s: nnreal.topological_space.equations._eqn_1 0.036006 s: continuous_linear_map.lmul_right_apply 0.000585 s: nat.partrec.code.encode_code._main.equations._eqn_1 0.009354 s: filter.at_bot_Iio_eq 0.001505 s: filter.tendsto_Iio_at_bot 0.000426 s: measure_theory.ae_eq_fun.monoid._proof_1 0.002518 s: measure_theory.ae_eq_fun.mul_to_germ 0.001996 s: measure_theory.ae_eq_fun.monoid 0.000979 s: continuous_map.to_ae_eq_fun_mul_hom._proof_1 0.008042 s: continuous_map.to_ae_eq_fun_mul_hom 0.001857 s: formal_multilinear_series.partial_sum 0.002051 s: formal_multilinear_series.partial_sum.equations._eqn_1 0.000750 s: alg_hom.restrict_scalars._proof_4 0.000125 s: lemmas_only 0.000104 s: lemmas_only.equations._eqn_1 0.000412 s: multiplicative.has_inv.equations._eqn_1 0.005192 s: set.Ioc_union_Ioi' 0.002866 s: set.Ioc_union_Ioi 0.004011 s: pos_num.comm_monoid._proof_1 0.004504 s: pos_num.comm_monoid._proof_2 0.002114 s: pos_num.comm_monoid._proof_3 0.005047 s: pos_num.comm_monoid._proof_4 0.004218 s: pos_num.comm_monoid._proof_5 0.004501 s: pos_num.comm_monoid._proof_6 0.000369 s: pos_num.comm_monoid 0.000592 s: le_mul_iff_one_le_right' 0.001915 s: le_mul_iff_one_le_left' 0.000569 s: category_theory.quotient 0.001127 s: category_theory.limits.of_iso_comparison._proof_1 0.001219 s: add_submonoid.mem_comap 0.000075 s: pfunctor.approx.path.equations._eqn_1 0.000037 s: topological_space.compacts 0.000313 s: topological_space.compacts.map._proof_1 0.000195 s: topological_space.compacts.map 0.000197 s: topological_space.compacts.ext 0.000366 s: topological_space.compacts.map_val 0.002078 s: topological_space.compacts.equiv._proof_3 0.001043 s: category_theory.preimage_iso.equations._eqn_1 0.000378 s: monad_writer 0.000103 s: monad_writer.pass 0.000418 s: category_theory.limits.types.sort.category_theory.limits.has_limits.equations._eqn_1 0.000399 s: is_simple_lattice 0.000162 s: is_simple_module 0.000302 s: is_complemented 0.000140 s: is_semisimple_module 0.002484 s: is_modular_lattice 0.000157 s: complete_lattice.set_independent 0.003081 s: complete_lattice.set_independent.mono 0.004020 s: Sup_compact_le_eq 0.003140 s: le_iff_compact_le_imp 0.009398 s: inf_Sup_eq_supr_inf_sup_finset 0.008504 s: complete_lattice.set_independent_iff_finite 0.003875 s: complete_lattice.set_independent_Union_of_directed 0.001845 s: complete_lattice.independent_sUnion_of_directed 0.003162 s: Sup_sUnion 0.004757 s: supr_inf_le_inf_Sup 0.011417 s: inf_Sup_eq_of_directed_on 0.002987 s: directed_on_image 0.001133 s: directed_on.mono 0.000358 s: Sup_le_iff 0.000356 s: eq_bot_or_eq_of_le_atom 0.001469 s: set.insert_diff_of_not_mem 0.006320 s: Sup_union 0.000146 s: Sup_singleton 0.000208 s: inf_le_inf_right 0.000357 s: is_modular_lattice.sup_inf_le_assoc_of_le 0.002958 s: sup_inf_assoc_of_le 0.000213 s: is_modular_lattice.inf_sup_inf_assoc 0.000063 s: order_dual.to_dual._proof_1 0.000056 s: order_dual.to_dual._proof_2 0.000140 s: order_dual.to_dual 0.000043 s: order_dual.of_dual 0.000117 s: order_dual.dual_le 0.026761 s: order_dual.is_modular_lattice 0.008468 s: is_modular_lattice.sup_inf_sup_assoc 0.015705 s: disjoint.disjoint_sup_right_of_disjoint_sup_left 0.001544 s: set.insert_diff_singleton 0.049153 s: is_complemented_of_Sup_atoms_eq_top 0.021028 s: submodule.is_modular_lattice 0.004920 s: submodule.is_compactly_generated 0.000193 s: top_ne_bot 0.000124 s: is_simple_lattice.to_nontrivial 0.000132 s: is_simple_lattice.eq_bot_or_eq_top 0.000361 s: is_atom_top 0.002164 s: is_simple_lattice_iff_is_atom_top 0.012568 s: set.is_simple_lattice_Iic_iff_is_atom 0.008240 s: order_iso.map_top 0.004487 s: order_iso.is_simple_lattice_iff 0.001499 s: submodule.map_subtype.rel_iso._proof_1 0.009152 s: linear_map.comap_map_eq_self 0.029445 s: submodule.map_subtype.rel_iso._proof_2 0.018939 s: submodule.map_subtype.rel_iso._match_1 0.002483 s: submodule.map_subtype.rel_iso._proof_3 0.019954 s: submodule.map_subtype.rel_iso._proof_4 0.017722 s: submodule.map_subtype.rel_iso 0.058588 s: is_simple_module_iff_is_atom 0.049364 s: is_semisimple_of_Sup_simples_eq_top 0.100881 s: complex.conj_li 0.098540 s: complex.conj_clm 0.076851 s: complex.continuous_conj 0.009129 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_2 0.000347 s: topological_space.opens.charted_space._proof_1 0.024752 s: category_theory.functor.map_cocone_precompose_equivalence_functor._proof_1 0.000389 s: UniformSpace.category_theory.forget₂.category_theory.is_right_adjoint.equations._eqn_1 0.000051 s: slim_check.slim_check_cfg.quiet 0.000297 s: pi.ordered_add_comm_group._proof_10 0.000167 s: lists'.subset 0.000075 s: lists'.has_subset 0.000139 s: lists.equations._eqn_1 0.000119 s: lists.has_sizeof._proof_1 0.000180 s: lists'.sizeof 0.000038 s: lists'.has_sizeof_inst 0.000183 s: lists.has_sizeof 0.003723 s: lists.equiv.decidable_meas._main 0.000110 s: lists.equiv.decidable_meas 0.000080 s: lists.atom 0.000258 s: lists.equiv.refl 0.000434 s: lists.equiv.antisymm 0.003168 s: lists.equiv._mut_.drec 0.002560 s: lists.equiv.cases_on 0.001836 s: lists.equiv_atom 0.000171 s: lists.atom.equations._eqn_1 0.000725 s: lists'.no_confusion 0.000368 s: lists'.atom.inj 0.000115 s: lists'.atom.inj_arrow 0.000483 s: lists'.cons'.inj 0.000272 s: lists'.cons'.inj_arrow 0.004084 s: lists'.decidable_eq 0.000088 s: lists.of' 0.000493 s: lists'.of_list._main 0.000031 s: lists'.of_list 0.001000 s: lists'.to_list._main.equations._eqn_3 0.000163 s: lists'.to_list.equations._eqn_3 0.000829 s: lists'.of_list._main.equations._eqn_2 0.000125 s: lists'.of_list.equations._eqn_2 0.000146 s: lists'.cons._main.equations._eqn_1 0.000201 s: lists'.cons.equations._eqn_1 0.001149 s: lists'.cons'.inj_eq 0.002609 s: lists'.of_to_list 0.000097 s: lists'.subset.nil 0.000296 s: lists'.subset.cons 0.000175 s: lists'.of_list._main.equations._eqn_1 0.000055 s: lists'.of_list.equations._eqn_1 0.001128 s: lists'.to_list_cons 0.000865 s: lists'.to_of_list 0.000211 s: list.subset_def 0.000738 s: list.cons_subset 0.000164 s: list.subset_of_cons_subset 0.001427 s: lists'.of_list_subset 0.000230 s: lists'.subset.refl 0.001722 s: lists.equiv.antisymm_iff 0.000658 s: sigma.sizeof._main.equations._eqn_1 0.000369 s: sigma.sizeof.equations._eqn_1 0.000060 s: bool.sizeof._main.equations._eqn_1 0.000031 s: bool.sizeof.equations._eqn_1 0.001744 s: lists.equiv.decidable._aux_1 0.001571 s: lists.equiv.decidable._aux_2 0.002441 s: lists'.subset.cases_on 0.004677 s: lists'.cons_subset 0.000509 s: lists'.cons'.sizeof_spec 0.000177 s: lists'.atom.sizeof_spec 0.000085 s: lists'.nil.sizeof_spec 0.007451 s: lists.sizeof_pos 0.008297 s: lists.lt_sizeof_cons' 0.005582 s: lists.equiv.decidable._aux_3 0.000202 s: lists'.mem_def 0.001809 s: lists'.mem_cons 0.006706 s: lists.equiv.decidable._aux_4 0.019258 s: equiv.decidable.subset.decidable.mem.decidable._mutual 0.000430 s: lists.equiv.decidable._main 0.000446 s: lists.subset.decidable._main 0.032559 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_4 0.001220 s: lists.equiv.decidable._main.equations._eqn_4 0.011230 s: topological_space.opens.to_Top._proof_2 0.019998 s: topological_space.opens.to_Top._proof_3 0.012335 s: topological_space.opens.to_Top._proof_4 0.009683 s: topological_space.opens.to_Top 0.000713 s: topological_space.opens.inclusion._proof_1 0.003207 s: topological_space.opens.inclusion 0.000986 s: is_open.open_embedding_subtype_coe 0.001700 s: topological_space.opens.open_embedding 0.002384 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_6 0.000548 s: omega.nat.is_nnf._main 0.000012 s: omega.nat.is_nnf 0.000211 s: omega.nat.is_nnf._main.equations._eqn_4 0.000033 s: omega.nat.is_nnf.equations._eqn_4 0.000909 s: category_theory.triangulated.triangle.rotate.equations._eqn_1 0.001808 s: subgroup.mem_inf 0.005702 s: subgroup.normal_inf 0.000523 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_1 0.000345 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_5 0.040534 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_6 0.007978 s: quotient_group.equiv_quotient_of_eq._proof_1 0.002786 s: quotient_group.equiv_quotient_of_eq._proof_2 0.043281 s: quotient_group.equiv_quotient_of_eq._proof_3 0.041621 s: quotient_group.equiv_quotient_of_eq._proof_4 0.029326 s: quotient_group.equiv_quotient_of_eq._proof_5 0.024483 s: quotient_group.equiv_quotient_of_eq 0.006611 s: subgroup.comap_subtype_inf_left 0.009559 s: monoid_hom.comap_ker 0.022311 s: quotient_group.ker_mk 0.010462 s: subgroup.comap_comap 0.001231 s: subgroup.coe_subtype 0.000522 s: subgroup.coe_mk 0.001886 s: subgroup.inclusion.equations._eqn_1 0.004427 s: subgroup.coe_inclusion 0.002978 s: subgroup.subtype_comp_inclusion 0.043587 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_8 0.000359 s: mul_equiv.of_bijective._proof_1 0.000252 s: mul_equiv.of_bijective._proof_2 0.008609 s: mul_equiv.of_bijective 0.000781 s: quotient_group.ker_lift._proof_1 0.000555 s: quotient_group.ker_lift 0.002315 s: quotient_group.ker_lift_injective 0.001380 s: quotient_group.quotient_ker_equiv_of_surjective._proof_1 0.000765 s: quotient_group.quotient_ker_equiv_of_surjective 0.001362 s: _private.2245039065.mul_normal_aux._proof_1 0.004441 s: _private.2245039065.mul_normal_aux._match_1 0.001348 s: _private.2245039065.mul_normal_aux._match_2 0.000464 s: _private.2245039065.mul_normal_aux._proof_2 0.002833 s: _private.2245039065.mul_normal_aux._match_3 0.000335 s: _private.2245039065.mul_normal_aux._proof_3 0.000528 s: _private.2245039065.mul_normal_aux 0.024031 s: subgroup.closure_mul_le 0.015740 s: subgroup.sup_eq_closure 0.013585 s: subgroup.mul_normal 0.034399 s: quotient_group.quotient_inf_equiv_prod_normal_quotient._proof_9 0.025712 s: quotient_group.quotient_inf_equiv_prod_normal_quotient 0.024293 s: quotient_group.quotient_inf_equiv_prod_normal_quotient.equations._eqn_1 0.029970 s: affine_map.fst._proof_1 0.048143 s: affine_map.fst 0.046911 s: affine_map.coe_fst 0.000426 s: add_monoid_hom.no_confusion_type 0.005246 s: add_monoid_hom.no_confusion 0.003737 s: add_monoid_hom.mk.inj 0.002470 s: add_monoid_hom.mk.inj_arrow 0.005498 s: ulift.comm_semiring._proof_10 0.003507 s: category_theory.thin_skeleton.skeletal 0.000112 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton._proof_3 0.008773 s: second_countable_of_proper.equations._eqn_1 0.057898 s: is_R_or_C.norm_sq_inv 0.000126 s: pgame.sizeof 0.000022 s: pgame.has_sizeof_inst 0.000150 s: pgame.list_short.sizeof 0.000392 s: mvpfunctor.obj.inhabited 0.000463 s: pfunctor.approx.cofix_a.default._main 0.000048 s: pfunctor.approx.cofix_a.default 0.000056 s: pfunctor.approx.cofix_a.inhabited 0.013631 s: pfunctor.M.default_consistent 0.000333 s: pfunctor.M.inhabited 0.000473 s: mvpfunctor.inhabited_M 0.000320 s: mvpfunctor.inhabited_M.equations._eqn_1 0.000283 s: subtype.semilattice_sup_bot._proof_1 0.000240 s: subtype.semilattice_sup_bot._proof_2 0.000921 s: subtype.semilattice_sup_bot._proof_3 0.000461 s: subtype.semilattice_sup_bot._proof_4 0.000358 s: subtype.semilattice_sup_bot._proof_5 0.000621 s: subtype.semilattice_sup_bot._proof_6 0.000525 s: subtype.semilattice_sup_bot._proof_7 0.000585 s: subtype.semilattice_sup_bot._proof_8 0.003313 s: subtype.semilattice_sup_bot 0.003060 s: subtype.semilattice_sup_bot.equations._eqn_1 0.002906 s: normed_group_hom.id._proof_1 0.000246 s: normed_group_hom.id 0.000274 s: normed_group_hom.id.equations._eqn_1 0.000455 s: category_theory.grothendieck.base 0.000352 s: category_theory.grothendieck.fiber 0.004117 s: category_theory.grothendieck.hom 0.001030 s: category_theory.grothendieck.hom.base 0.001092 s: category_theory.grothendieck.id._proof_1 0.000569 s: category_theory.grothendieck.id 0.002871 s: category_theory.grothendieck.comp._proof_1 0.001839 s: category_theory.grothendieck.hom.fiber 0.001409 s: category_theory.grothendieck.comp 0.001290 s: category_theory.grothendieck.hom.cases_on 0.013168 s: category_theory.grothendieck.ext 0.002766 s: category_theory.grothendieck.comp_base 0.000466 s: category_theory.grothendieck.id_base 0.002269 s: category_theory.grothendieck.comp_fiber 0.001532 s: category_theory.grothendieck.id_fiber 0.001147 s: category_theory.eq_to_hom_trans_assoc 0.009417 s: category_theory.grothendieck.category_theory.category._proof_1 0.000592 s: category_theory.eq_to_iso.inv 0.016993 s: category_theory.grothendieck.category_theory.category._proof_2 0.023027 s: category_theory.grothendieck.category_theory.category._proof_3 0.002018 s: category_theory.grothendieck.category_theory.category 0.000772 s: category_theory.grothendieck.forget._proof_1 0.002448 s: finsupp.has_scalar.equations._eqn_1 0.000084 s: nat.modeq.decidable 0.002071 s: comm_monoid.rec_on 0.006328 s: smooth_add_monoid_morphism 0.000326 s: add_monoid_hom.sizeof 0.000061 s: add_monoid_hom.has_sizeof_inst 0.002116 s: smooth_add_monoid_morphism.sizeof 0.008266 s: ulift.add_comm_group._proof_8 0.000220 s: roption.to_option 0.000146 s: roption.none_decidable 0.000128 s: roption.some_decidable 0.000414 s: roption.of_option_decidable._main 0.000056 s: roption.of_option_decidable 0.001087 s: roption.to_of_option 0.005285 s: direct_sum.ghas_mul.of_add_submonoids._proof_1 0.004790 s: direct_sum.ghas_mul.of_add_submonoids._proof_2 0.016567 s: direct_sum.ghas_mul.of_add_submonoids._proof_3 0.040327 s: direct_sum.ghas_mul.of_add_submonoids._proof_4 0.009857 s: direct_sum.ghas_mul.of_add_submonoids 0.003615 s: sigma.subtype_ext 0.005544 s: direct_sum.gmonoid.of_add_submonoids._match_1 0.002238 s: direct_sum.gmonoid.of_add_submonoids._proof_1 0.001600 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000321 s: subgroup.to_comm_group._proof_1 0.000384 s: subgroup.to_comm_group._proof_2 0.000460 s: subgroup.to_comm_group._proof_3 0.000390 s: subgroup.to_comm_group._proof_4 0.000331 s: subgroup.to_comm_group._proof_5 0.005716 s: subgroup.to_comm_group 0.000052 s: CommGroup.has_coe_to_sort 0.002426 s: pi.comm_group._proof_1 0.001642 s: pi.comm_group._proof_2 0.001723 s: pi.comm_group._proof_3 0.007753 s: pi.comm_group._proof_4 0.008879 s: pi.comm_group._proof_5 0.018628 s: pi.comm_group._proof_6 0.032330 s: pi.comm_group._proof_7 0.011588 s: pi.comm_group._proof_8 0.004450 s: pi.comm_group 0.000238 s: CommGroup.comm_group_instance 0.530137 s: CommGroup.limit_comm_group 0.004692 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_2 0.000405 s: Group.limit_cone._proof_1 0.000282 s: Group.limit_cone._proof_2 0.000847 s: Group.limit_cone 0.000655 s: Group.limit_cone_is_limit 0.000404 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_3 0.004859 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_4 0.010468 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_5 0.008089 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_6 9.142622 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_7 4.603263 s: CommGroup.category_theory.forget₂.category_theory.creates_limit 0.012397 s: nnreal.rpow_lt_rpow_of_exponent_gt 0.009514 s: ennreal.rpow_lt_rpow_of_exponent_gt 0.000359 s: category_theory.component.nonempty.equations._eqn_1 0.002361 s: measure_theory.mem_ℒp.add 0.000525 s: preorder_hom.has_inf 0.000539 s: preorder_hom.has_inf_inf_to_fun 0.000106 s: ordinal.limit_rec_on._proof_1 0.000163 s: ordinal.limit_rec_on._proof_2 0.002596 s: ordinal.pred_eq_iff_not_succ 0.004295 s: ordinal.pred_lt_iff_is_succ 0.000065 s: ordinal.limit_rec_on._proof_3 0.000154 s: ordinal.limit_rec_on._proof_4 0.000825 s: ordinal.limit_rec_on 0.000220 s: ordinal.monoid._match_1 0.000134 s: ordinal.monoid._match_2 0.000808 s: equiv.prod_congr_apply 0.001164 s: rel_iso.injective 0.000191 s: rel_iso.eq_iff_eq 0.022085 s: rel_iso.prod_lex_congr._proof_1 0.000504 s: rel_iso.prod_lex_congr 0.006760 s: ordinal.monoid._match_3 0.000621 s: ordinal.monoid._match_4 0.000619 s: ordinal.monoid._match_5 0.000400 s: ordinal.monoid._match_6 0.000205 s: ordinal.monoid._match_7 0.000275 s: ordinal.monoid._match_8 0.000047 s: ordinal.monoid._proof_1 0.000545 s: equiv.prod_assoc_apply 0.037254 s: ordinal.monoid._match_9 0.000985 s: ordinal.monoid._match_10 0.000436 s: ordinal.monoid._match_11 0.000337 s: ordinal.monoid._proof_2 0.000104 s: empty_relation.equations._eqn_1 0.004383 s: ordinal.monoid._proof_3 0.003095 s: ordinal.monoid._proof_4 0.002681 s: ordinal.monoid._proof_5 0.002220 s: ordinal.monoid._proof_6 0.006965 s: ordinal.monoid._proof_7 0.004359 s: ordinal.monoid._proof_8 0.002671 s: ordinal.monoid 0.004423 s: ordinal.sup._proof_1 0.000091 s: ordinal.sup 0.000788 s: ordinal.bsup._match_1 0.000176 s: ordinal.bsup 0.000335 s: ordinal.power 0.000046 s: ordinal.has_pow 0.000255 s: ordinal.power.equations._eqn_1 0.001684 s: ordinal.zero_power' 0.015363 s: category_theory.limits.is_colimit.hom_iso'._proof_4 0.000116 s: pempty.fintype.equations._eqn_1 0.000385 s: bool.bounded_lattice._proof_9 0.000137 s: rand_g.equations._eqn_1 0.000090 s: binder_info.sizeof 0.000053 s: binder_info.aux_decl.sizeof_spec 0.000093 s: measure_theory.is_mul_left_invariant 0.027524 s: prod_le_borel_prod 0.005246 s: prod.borel_space 0.000274 s: homeomorph.shear_mul_right._proof_1 0.000148 s: homeomorph.shear_mul_right._proof_2 0.003417 s: homeomorph.shear_mul_right._proof_3 0.000191 s: topological_group.continuous_inv 0.000403 s: continuous.inv 0.002476 s: homeomorph.shear_mul_right._proof_4 0.001246 s: homeomorph.shear_mul_right 0.000306 s: topological_group.has_measurable_inv 0.000829 s: set.prod_preimage_right 0.001133 s: set.mk_preimage_prod_right_fn_eq_if 0.000749 s: measure_theory.set_lintegral_const 0.009150 s: measure_theory.map_prod_mul_eq 0.003077 s: measure_theory.map_prod_mul_eq_swap 0.001225 s: measurable_equiv.symm_comp_self 0.002378 s: measurable_equiv.map_symm_map 0.001427 s: measurable_equiv.map_measurable_equiv_injective 0.001133 s: measurable_equiv.self_comp_symm 0.002407 s: measurable_equiv.map_map_symm 0.001688 s: measurable_equiv.map_apply_eq_iff_map_symm_apply_eq 0.004555 s: measure_theory.map_prod_inv_mul_eq 0.002424 s: measure_theory.map_prod_inv_mul_eq_swap 0.005848 s: measure_theory.map_prod_mul_inv_eq 0.002821 s: measure_theory.measure.prod_apply_symm 0.000861 s: set.mk_preimage_prod 0.006292 s: measure_theory.measure_null_of_measure_inv_null 0.002809 s: measure_theory.measure_inv_null 0.000075 s: ulift.has_zero 0.000059 s: ulift.has_neg 0.000056 s: ulift.has_sub 0.034941 s: ulift.comm_ring._proof_7 0.000189 s: category_theory.bundled_hom.parent_projection.sizeof 0.000036 s: expr.coord.code 0.000071 s: expr.coord.has_lt 0.000032 s: expr.coord.has_lt.equations._eqn_1 0.008942 s: real.cos_add_nat_mul_two_pi 0.000567 s: category_theory.limits.types.image 0.000332 s: category_theory.limits.types.image.ι 0.000533 s: category_theory.limits.types.image.ι.category_theory.mono 0.000205 s: set.range_factorization 0.000470 s: category_theory.limits.types.mono_factorisation._proof_1 0.000787 s: category_theory.limits.types.mono_factorisation 0.000367 s: category_theory.limits.types.image.lift._proof_1 0.000576 s: category_theory.limits.types.image.lift 0.001757 s: category_theory.limits.types.image.lift_fac 0.000551 s: category_theory.limits.types.is_image 0.000485 s: category_theory.limits.types.is_image.equations._eqn_1 0.001976 s: distrib_mul_action_hom.map_neg 0.010090 s: matrix.det.is_monoid_hom 0.000030 s: bitvec.carry 0.000017 s: bitvec.xor3 0.000305 s: bitvec.adc._match_1 0.001386 s: vector.map_accumr₂._main 0.000072 s: vector.map_accumr₂ 0.000103 s: bitvec.adc 0.000335 s: bitvec.add 0.000300 s: bitvec.add.equations._eqn_1 0.007404 s: linear_map.lsmul.equations._eqn_1 0.000749 s: linear_map.applyₗ'._proof_1 0.002405 s: linear_map.applyₗ'._proof_2 0.012477 s: linear_map.applyₗ'._proof_4 0.007445 s: linear_map.applyₗ' 0.007483 s: linear_map.applyₗ'.equations._eqn_1 0.007485 s: pi.conditionally_complete_lattice._match_4 0.009089 s: pi.conditionally_complete_lattice._match_5 0.005404 s: has_dist_metric_quot._proof_1 0.000229 s: has_dist_metric_quot 0.000828 s: metric_space_quot._proof_1 0.000468 s: metric_space_quot._proof_2 0.000707 s: metric_space_quot._proof_3 0.000407 s: metric_space_quot._proof_4 0.000277 s: metric_space_quot._proof_5 0.000469 s: metric_space_quot._proof_6 0.000543 s: metric_space_quot._proof_7 0.003410 s: metric_space_quot._proof_8 0.004722 s: metric_space_quot._proof_9 0.003737 s: metric_space_quot 0.002242 s: metric_space_quot.equations._eqn_1 0.036369 s: witt_vector.witt_one 0.000184 s: witt_vector.has_one 0.000140 s: witt_vector.has_one.equations._eqn_1 0.013164 s: category_theory.limits.cone_morphism.mk.inj_arrow 0.016222 s: category_theory.limits.cones.functoriality_faithful 0.000982 s: homeomorph.continuous_symm 0.003244 s: valuation.cases_on 0.002614 s: valuation.no_confusion_type 0.001643 s: valuation.no_confusion 0.004325 s: submodule.is_compactly_generated.equations._eqn_1 0.012584 s: category_theory.limits.diagram_of_cones.cases_on 0.014608 s: category_theory.limits.diagram_of_cones.no_confusion_type 0.009464 s: category_theory.limits.diagram_of_cones.no_confusion 0.019870 s: category_theory.limits.diagram_of_cones.mk.inj 0.005330 s: function.surjective.mul_action._proof_1 0.001611 s: function.surjective.mul_action._proof_2 0.000738 s: function.surjective.mul_action 0.000814 s: function.surjective.mul_action.equations._eqn_1 0.000364 s: finsupp.sum_finsupp_equiv_prod_finsupp._proof_1 0.000282 s: finsupp.sum_finsupp_equiv_prod_finsupp._proof_2 0.008076 s: finsupp.sum_elim._proof_1 0.002809 s: finsupp.sum_elim 0.001428 s: finsupp.coe_sum_elim 0.001415 s: finsupp.comap_domain_apply 0.003059 s: finsupp.sum_finsupp_equiv_prod_finsupp._proof_3 0.003046 s: finsupp.sum_finsupp_equiv_prod_finsupp._proof_4 0.001651 s: finsupp.sum_finsupp_equiv_prod_finsupp 0.000250 s: finsupp.sum_finsupp_add_equiv_prod_finsupp._proof_1 0.000182 s: finsupp.sum_finsupp_add_equiv_prod_finsupp._proof_2 0.001303 s: finsupp.fst_sum_finsupp_equiv_prod_finsupp 0.001080 s: finsupp.snd_sum_finsupp_equiv_prod_finsupp 0.003656 s: finsupp.sum_finsupp_add_equiv_prod_finsupp._proof_3 0.001156 s: finsupp.sum_finsupp_add_equiv_prod_finsupp 0.006614 s: add_equiv.to_AddCommGroup_iso._proof_2 0.000029 s: NonemptyFinLinOrd 0.000050 s: NonemptyFinLinOrd.of 0.001314 s: is_local_ring_hom 0.002092 s: polynomial.expand_eq_C 0.054903 s: polynomial.is_local_ring_hom_expand 0.019609 s: finset.comp_sup'_eq_sup'_comp 0.002593 s: finset.sup'_apply 0.000889 s: monoid_with_zero_hom.to_monoid_hom_coe 0.000399 s: category_theory.cartesian_closed.curry._proof_1 0.002973 s: category_theory.cartesian_closed.curry 0.000162 s: num.bit0._main.equations._eqn_1 0.000029 s: num.bit0.equations._eqn_1 0.000056 s: ordered_cancel_add_comm_monoid.lt._default 0.000037 s: linear_ordered_cancel_add_comm_monoid.lt._default 0.027332 s: submodule.bot_smul 0.035421 s: ideal.bot_mul 0.000913 s: ordering.compares.le_antisymm 0.000158 s: linear_order_of_compares._proof_3 0.000151 s: has_well_founded.cases_on 0.000092 s: has_well_founded.no_confusion_type 0.000348 s: has_well_founded.no_confusion 0.000151 s: has_well_founded.mk.inj 0.000091 s: real.tan.equations._eqn_1 0.029075 s: complex.tan_neg 0.002583 s: real.tan_neg 0.000632 s: real.tan_eq_sin_div_cos 0.000156 s: strict_mono_decr_on 0.000693 s: strict_mono_decr_on.dual_right 0.000995 s: strict_mono_decr_on.le_iff_le 0.001160 s: real.strict_mono_decr_on_cos 0.002309 s: real.cos_le_cos_of_nonneg_of_le_pi 0.230486 s: real.tan_lt_tan_of_nonneg_of_lt_pi_div_two 0.184815 s: real.tan_pos_of_pos_of_lt_pi_div_two 0.036312 s: complex.tan_zero 0.001607 s: real.tan_zero 0.037363 s: real.tan_nonneg_of_nonneg_of_le_pi_div_two 0.160266 s: real.tan_nonpos_of_nonpos_of_neg_pi_div_two_le 0.175391 s: real.tan_neg_of_neg_of_pi_div_two_lt 0.077103 s: real.tan_lt_tan_of_lt_of_lt_pi_div_two 0.000731 s: real.strict_mono_incr_on_tan 0.012212 s: set.surj_on_iff_surjective 0.000448 s: subset_conditionally_complete_linear_order._proof_1 0.000374 s: subset_conditionally_complete_linear_order._proof_2 0.001110 s: subset_conditionally_complete_linear_order._proof_3 0.000607 s: subset_conditionally_complete_linear_order._proof_4 0.000646 s: subset_conditionally_complete_linear_order._proof_6 0.000691 s: subset_conditionally_complete_linear_order._proof_7 0.000461 s: subset_conditionally_complete_linear_order._proof_8 0.000527 s: subset_conditionally_complete_linear_order._proof_9 0.000843 s: subset_conditionally_complete_linear_order._proof_10 0.000776 s: subset_has_Sup 0.000568 s: subset_has_Inf 0.000891 s: subset_Sup_def 0.002156 s: subset_Sup_of_within 0.000623 s: monotone.le_cSup_image 0.000896 s: subtype.mono_coe 0.038537 s: subset_conditionally_complete_linear_order._proof_11 0.007983 s: monotone.cSup_image_le 0.037898 s: subset_conditionally_complete_linear_order._proof_12 0.000827 s: subset_Inf_def 0.014096 s: subset_Inf_of_within 0.007588 s: monotone.cInf_image_le 0.035901 s: subset_conditionally_complete_linear_order._proof_13 0.017811 s: monotone.le_cInf_image 0.035882 s: subset_conditionally_complete_linear_order._proof_14 0.000786 s: subset_conditionally_complete_linear_order._proof_15 0.035816 s: subset_conditionally_complete_linear_order 0.015480 s: Sup_within_of_ord_connected 0.011627 s: Inf_within_of_ord_connected 0.000547 s: ord_connected_subset_conditionally_complete_linear_order 0.003008 s: set.densely_ordered 0.025437 s: continuous_on.surj_on_of_tendsto 0.074061 s: real.has_deriv_at_tan_of_mem_Ioo 0.079310 s: real.differentiable_at_tan_of_mem_Ioo 0.137350 s: real.continuous_on_tan_Ioo 0.016082 s: map_coe_Ioo_at_bot 0.004505 s: tendsto_comp_coe_Ioo_at_bot 0.145721 s: filter.tendsto.at_top_mul_neg 0.017019 s: tendsto_nhds_within_of_tendsto_nhds_of_eventually_within 0.019280 s: real.tendsto_cos_neg_pi_div_two 0.002537 s: real.tendsto_sin_neg_pi_div_two 0.093502 s: real.tendsto_tan_neg_pi_div_two 0.011765 s: map_coe_Ioo_at_top 0.004305 s: tendsto_comp_coe_Ioo_at_top 0.011335 s: real.tendsto_cos_pi_div_two 0.001130 s: real.tendsto_sin_pi_div_two 0.119943 s: real.tendsto_tan_pi_div_two 0.044394 s: real.surj_on_tan 0.000297 s: real.image_tan_Ioo 0.007937 s: real.tan_order_iso 0.000730 s: real.arctan 0.032887 s: real.tan_mul_cos 0.010013 s: nnreal.sqrt_hom 0.043373 s: nnreal.sqrt_inv 0.007253 s: real.sqrt_inv 0.003117 s: complex.cos_sq_add_sin_sq 0.082822 s: complex.inv_one_add_tan_sq 0.034806 s: real.inv_one_add_tan_sq 0.003912 s: real.inv_sqrt_one_add_tan_sq 0.005269 s: real.tan_div_sqrt_one_add_tan_sq 0.000717 s: real.arctan_mem_Ioo 0.000068 s: real.cos_arctan_pos 0.014823 s: real.tan_arctan 0.002275 s: real.sin_arctan 0.000257 s: real.arctan_eq_arcsin 0.000089 s: has_div.cases_on 0.000128 s: has_div.no_confusion_type 0.000379 s: initial_seg.has_coe_to_fun.equations._eqn_1 0.001464 s: finsupp.comap_has_scalar._proof_1 0.000527 s: finsupp.comap_has_scalar 0.001507 s: finsupp.comap_mul_action._proof_1 0.001672 s: local_equiv.refl_restr_target 0.001867 s: lie_subalgebra.has_inf._proof_3 0.001010 s: rbnode.fold._main 0.000066 s: rbnode.fold 0.000174 s: rbtree.fold._main 0.000076 s: rbtree.fold 0.000819 s: rbtree.fold._main.equations._eqn_1 0.000170 s: rbtree.fold.equations._eqn_1 0.000357 s: local_equiv.is_image.of_preimage_eq 0.000777 s: local_equiv.is_image.symm_image_eq 0.000819 s: local_equiv.is_image.of_symm_image_eq 0.000300 s: monad_functor 0.000134 s: monad_functor.sizeof 0.000409 s: function.injective.linear_ordered_add_comm_group._proof_13 0.000107 s: topological_space.eq_generate_from_countable_basis 0.000014 s: tactic.dsimp_config.beta._default 0.000175 s: lt_of_abs_lt 0.001062 s: category_theory.bundled_hom.rec_on 0.007641 s: multilinear_curry_right_equiv._proof_1 0.002408 s: group.sizeof 0.000082 s: group.has_sizeof_inst 0.000322 s: cfilter.pt 0.000408 s: cfilter.to_filter._proof_1 0.000976 s: cfilter.to_filter._match_1 0.000432 s: cfilter.to_filter._proof_2 0.000848 s: cfilter.to_filter._match_3 0.000456 s: cfilter.to_filter._proof_3 0.000479 s: cfilter.to_filter 0.000509 s: filter.realizer 0.000134 s: filter.realizer.σ 0.000201 s: filter.realizer.F 0.000297 s: filter.realizer.eq 0.000168 s: filter.realizer.of_eq._proof_1 0.000101 s: filter.realizer.of_eq 0.000507 s: semidirect_product.inl._proof_1 0.003518 s: semidirect_product.inl._proof_2 0.001914 s: semidirect_product.inl 0.001344 s: semidirect_product.left_inl 0.001410 s: semidirect_product.right_inl 0.003996 s: semidirect_product.mk_eq_inl_mul_inr 0.005055 s: semidirect_product.map._proof_1 0.013402 s: semidirect_product.map._proof_2 0.006565 s: semidirect_product.map 0.003849 s: semidirect_product.map.equations._eqn_1 0.001941 s: rel_embedding.cod_restrict.equations._eqn_1 0.002469 s: alternating_map.has_zero.equations._eqn_1 0.000108 s: algebra.is_algebraic 0.001129 s: is_alg_closure 0.138627 s: algebraic_closure.of_step._proof_1 0.099656 s: algebraic_closure.of_step 0.083112 s: algebraic_closure.algebra 0.059327 s: polynomial.degree_eq_one_of_irreducible_of_root 0.010485 s: irreducible_of_associated 0.216100 s: is_alg_closed.of_exists_root 0.058074 s: ring.direct_limit.polynomial.exists_of 0.085010 s: algebraic_closure.to_adjoin_monic.equations._eqn_1 0.013003 s: algebraic_closure.le_max_ideal 0.175952 s: algebraic_closure.adjoin_monic.exists_root 0.031402 s: algebraic_closure.to_step_succ.exists_root 0.001544 s: polynomial.monic_map_iff 0.000514 s: is_unit.map' 0.000508 s: polynomial.degree_eq_iff_nat_degree_eq 0.030515 s: polynomial.is_unit_of_is_unit_leading_coeff_of_is_unit_map 0.029300 s: polynomial.monic.irreducible_of_irreducible_map 0.005272 s: nat.le_rec_on_succ' 2.171938 s: algebraic_closure.of_step_succ 0.945673 s: algebraic_closure.exists_root 0.000271 s: algebraic_closure.is_alg_closed 0.075936 s: algebraic_closure.step.algebra 0.000413 s: algebraic_closure.of_step_hom._proof_1 0.000381 s: algebraic_closure.of_step_hom._proof_2 0.000259 s: algebraic_closure.of_step_hom._proof_3 0.000526 s: algebraic_closure.of_step_hom._proof_4 0.015722 s: algebraic_closure.of_step_hom._proof_5 0.151758 s: algebraic_closure.of_step_hom 0.083670 s: algebraic_closure.step.algebra_succ 0.802910 s: algebraic_closure.step.scalar_tower 0.077126 s: algebraic_closure.adjoin_monic.algebra 0.099044 s: algebraic_closure.adjoin_monic.algebra_map 0.292598 s: algebraic_closure.adjoin_monic.is_integral 0.382313 s: algebraic_closure.step.is_integral 0.128040 s: algebraic_closure.exists_of_step 0.134422 s: algebraic_closure.is_algebraic 0.000247 s: algebraic_closure.is_alg_closure 0.000288 s: algebraic_closure.is_alg_closure.equations._eqn_1 0.000238 s: multiplicative.ordered_comm_group._proof_1 0.000086 s: multiplicative.ordered_comm_group._proof_2 0.000084 s: multiplicative.ordered_comm_group._proof_3 0.014258 s: multiplicative.ordered_comm_group._proof_4 0.002177 s: multiplicative.ordered_comm_group._proof_5 0.002329 s: multiplicative.ordered_comm_group._proof_6 0.000618 s: multiplicative.ordered_comm_group._proof_7 0.000169 s: multiplicative.ordered_comm_group._proof_8 0.001716 s: multiplicative.ordered_comm_group._proof_9 0.000178 s: multiplicative.ordered_comm_group._proof_10 0.002108 s: multiplicative.ordered_comm_group._proof_11 0.000299 s: multiplicative.ordered_comm_group._proof_12 0.000787 s: multiplicative.ordered_comm_group._proof_13 0.022634 s: multiplicative.ordered_comm_group 0.005800 s: multiplicative.linear_ordered_comm_group._proof_14 0.000197 s: list.ret.equations._eqn_1 0.002968 s: list.mem_pure 0.000138 s: ring_quot.has_zero.equations._eqn_1 0.000082 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_1 0.000117 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_5 0.000067 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_1 0.000071 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_2 0.000070 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_3 0.000040 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_4 0.082415 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_6 0.107748 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_7 0.114111 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse._proof_8 0.091625 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse 0.000087 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_2 0.000042 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj._proof_1 0.000039 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj._proof_2 0.000438 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj._proof_3 0.013339 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj._proof_4 0.143385 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj._proof_5 0.101017 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj 0.000108 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_3 0.000062 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_4 0.000041 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_5 0.089126 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj_π_app 0.136818 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_6 0.158310 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_7 0.221365 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor._proof_8 0.109250 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor 0.115933 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_9 0.000078 s: int.decidable_pred_odd._proof_1 0.014556 s: con.correspondence._proof_5 0.005359 s: enorm.rec_on 0.000315 s: frontier_subset_closure 0.003507 s: is_open.inter_frontier_eq_empty_of_disjoint 0.002812 s: linear_isometry_equiv.cases_on 0.002342 s: linear_isometry_equiv.no_confusion_type 0.001997 s: linear_isometry_equiv.no_confusion 0.001492 s: linear_isometry_equiv.mk.inj 0.002068 s: linear_isometry_equiv.mk.inj_eq 0.001372 s: category_theory.limits.bicone.sizeof 0.000169 s: occurrences.cases_on 0.000174 s: occurrences_repr._main 0.000014 s: occurrences_repr 0.000450 s: occurrences_repr._main.equations._eqn_3 0.000078 s: occurrences_repr.equations._eqn_3 0.000933 s: zorn.chain_closure.drec_on 0.000114 s: holor.has_add 0.000781 s: holor.add_semigroup._proof_1 0.000167 s: holor.add_semigroup 0.000136 s: holor.add_semigroup.equations._eqn_1 0.001489 s: affine.simplex.face._proof_1 0.001664 s: affine.simplex.face 0.001320 s: affine.simplex.face_points' 0.002142 s: finset.order_emb_of_fin.equations._eqn_1 0.002758 s: order_iso.coe_to_order_embedding 0.000450 s: order_iso.range_eq 0.000288 s: finset.set_of_mem 0.003654 s: finset.range_order_emb_of_fin 0.001673 s: affine.simplex.range_face_points 0.004290 s: category_theory.over.id_left 0.001572 s: finset.inf_eq_Inf 0.000502 s: continuous_map.sizeof 0.000101 s: continuous_map.has_sizeof_inst 0.000875 s: category_theory.nat_trans.sizeof 0.000169 s: category_theory.nat_trans.has_sizeof_inst 0.002110 s: algebraic_geometry.PresheafedSpace.hom.sizeof 0.000073 s: algebraic_geometry.PresheafedSpace.hom.has_sizeof_inst 0.000212 s: add_units.sizeof 0.001858 s: add_units.mk.sizeof_spec 0.001047 s: complete_lattice.is_sup_closed_compact_iff_well_founded 0.000097 s: well_founded.is_sup_closed_compact 0.000882 s: matrix.to_square_block 0.000682 s: matrix.to_square_block_def 0.000367 s: equiv.perm.perm_unique._proof_1 0.000099 s: equiv.perm.perm_unique 0.010467 s: matrix.det_unique 0.000159 s: matrix.block_triangular_matrix' 0.000322 s: matrix.to_square_block' 0.000471 s: matrix.to_square_block_def' 0.000317 s: matrix.to_square_block_prop 0.001636 s: matrix.minor_minor 0.000295 s: matrix.minor_id_id 0.003109 s: matrix.reindex._proof_1 0.002134 s: matrix.reindex._proof_2 0.001069 s: matrix.reindex 0.010002 s: equiv.perm.sign_aux3_symm_trans_trans 0.002824 s: equiv.perm.sign_symm_trans_trans 0.003333 s: equiv.perm.sign_eq_sign_of_equiv 0.002432 s: equiv.perm.sign_perm_congr 0.000364 s: matrix.minor_apply 0.009069 s: matrix.det_minor_equiv_self 0.001293 s: matrix.det_reindex_self 0.009706 s: matrix.equiv_block_det 0.004107 s: matrix.to_square_block_det'' 0.002089 s: fin.prod_univ_eq_prod_range 0.000166 s: matrix.block_triangular_matrix 0.001602 s: univ_eq_singleton_of_card_one 0.001107 s: list.length_cons 0.008093 s: list.length_join 0.000926 s: list.length_bind 0.009213 s: length_perms_of_list 0.002925 s: card_perms_of_finset 0.000622 s: fintype.card_perm 0.002464 s: int.smul_one_eq_coe 0.010450 s: matrix.det_eq_one_of_card_eq_zero 0.001188 s: matrix.to_block 0.001700 s: matrix.reindex_apply 0.001306 s: matrix.to_block_apply 0.000924 s: matrix.from_blocks_apply₁₂ 0.016094 s: matrix.det_to_block 0.016990 s: matrix.two_block_triangular_det 0.000746 s: matrix.to_square_block_prop_def 0.004619 s: matrix.det_to_square_block' 0.000053 s: equiv.subtype_subtype_equiv_subtype_inter._proof_1 0.000408 s: equiv.subtype_subtype_equiv_subtype_inter 0.000092 s: equiv.subtype_subtype_equiv_subtype._proof_1 0.000245 s: equiv.subtype_subtype_equiv_subtype 0.028350 s: matrix.det_of_block_triangular_matrix 0.000830 s: fin.coe_fin_lt 0.008133 s: matrix.det_of_block_triangular_matrix' 0.006130 s: matrix.det_of_upper_triangular 0.001778 s: matrix.det_of_lower_triangular 0.041647 s: witt_vector.witt_neg 0.000103 s: triv_sq_zero_ext.inl 0.000307 s: triv_sq_zero_ext.fst_inl 0.000214 s: triv_sq_zero_ext.inl_injective 0.001220 s: module.finite 0.000017 s: slim_check.small 0.000094 s: slim_check.small.mk 0.006120 s: is_submonoid.inter 0.000595 s: is_subgroup.inter 0.001879 s: is_subgroup.inter.equations._eqn_1 0.000188 s: sup_is_associative.equations._eqn_1 0.026167 s: set.preimage_const_mul_Ioi 0.029447 s: set.preimage_const_mul_Iio 0.003605 s: set.preimage_const_mul_Ioo 0.025724 s: ordered_comm_ring.rec_on 0.000090 s: intermediate_field.insert.insert 0.000111 s: intermediate_field.insert_empty 0.000533 s: intermediate_field.ext 0.000043 s: iff_true_left 0.000039 s: iff_true_right 0.011536 s: intermediate_field.mem_top 0.003043 s: intermediate_field.to_subalgebra_eq_iff 0.285727 s: intermediate_field.findim_eq_findim_subalgebra 0.097323 s: intermediate_field.findim_eq_one_iff 0.026406 s: intermediate_field.adjoin_eq_bot_iff 0.079287 s: intermediate_field.findim_adjoin_eq_one_iff 0.093832 s: intermediate_field.findim_adjoin_simple_eq_one_iff 0.098648 s: intermediate_field.bot_eq_top_of_findim_adjoin_eq_one 0.000253 s: finite_dimensional.findim_pos 0.297184 s: intermediate_field.finite_dimensional_left 0.220801 s: intermediate_field.bot_eq_top_of_findim_adjoin_le_one 0.120917 s: intermediate_field.subsingleton_of_findim_adjoin_le_one 0.000097 s: category_theory.single_obj.star 0.001253 s: category_theory.single_obj.map_hom._proof_4 0.000142 s: pfun.graph' 0.000072 s: pfun.core 0.014091 s: pfun.preimage_subset_core 0.002615 s: pfun.preimage_subset_dom 0.003100 s: pfun.preimage_eq 0.008414 s: set.union_distrib_right 0.000337 s: set.compl_union_self 0.001697 s: pfun.compl_dom_subset_core 0.003073 s: pfun.core_eq 0.001094 s: category_theory.limits.cocone_of_split_epi_X 0.000043 s: nat.dist 0.000056 s: nat.dist.def 0.003436 s: nat.dist_mul_right 0.000082 s: list.mmap_filter._match_1 0.000125 s: list.mmap_filter._match_1.equations._eqn_1 0.000090 s: lazy_list.ibelow 0.001815 s: continuous_map.smul_apply 0.000685 s: quaternion_group 0.000148 s: quaternion_group.cases_on 0.000321 s: _private.482679531.mul._main 0.000018 s: _private.482679531.mul 0.000232 s: _private.482679531.mul._main.equations._eqn_1 0.000119 s: _private.482679531.mul.equations._eqn_1 0.000085 s: quaternion_group.no_confusion_type 0.000264 s: quaternion_group.no_confusion 0.000114 s: quaternion_group.a.inj 0.000139 s: quaternion_group.a.inj_eq 0.000211 s: _private.482679531.mul._main.equations._eqn_2 0.000117 s: _private.482679531.mul.equations._eqn_2 0.000097 s: quaternion_group.xa.inj 0.000145 s: quaternion_group.xa.inj_eq 0.000167 s: _private.482679531.mul._main.equations._eqn_3 0.000092 s: _private.482679531.mul.equations._eqn_3 0.000329 s: _private.482679531.mul._main.equations._eqn_4 0.000220 s: _private.482679531.mul.equations._eqn_4 0.033664 s: quaternion_group.group._proof_1 0.000145 s: 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fixed_points.separable 0.364389 s: fixed_points.coe_algebra_map 0.153244 s: polynomial.splits_prod 0.289663 s: fixed_points.normal 0.023682 s: is_galois.of_fixed_field 0.820640 s: is_galois.of_fixed_field_eq_bot 0.520214 s: intermediate_field.finite_dimensional_right 0.199093 s: finite_dimensional.findim_mul_findim 0.031460 s: cardinal.lt_succ 0.000271 s: fintype.card_ulift 0.016896 s: cardinal.card_le_of 0.007391 s: dim_le 0.001059 s: cardinal.mk_range_eq_lift 0.020795 s: linear_independent_le_dim' 0.001371 s: mul_action.to_fun._proof_1 0.000221 s: mul_action.to_fun 0.000753 s: equiv.option_equiv_sum_punit_coe 0.006278 s: equiv.set.insert_symm_apply_inl 0.003270 s: equiv.set.insert_symm_apply_inr 0.010493 s: linear_independent_insert' 0.004362 s: linear_independent_insert 0.000469 s: mul_action.to_fun_apply 0.016739 s: finsupp.total_apply_of_mem_supported 0.285431 s: fixed_points.linear_independent_smul_of_linear_independent 0.205823 s: fixed_points.dim_le_card 0.138120 s: fixed_points.finite_dimensional 0.098489 s: fixed_points.findim_le_card 0.000363 s: fixed_points.to_alg_hom._proof_1 0.000304 s: fixed_points.to_alg_hom._proof_2 0.000306 s: fixed_points.to_alg_hom._proof_3 0.000342 s: fixed_points.to_alg_hom._proof_4 0.000279 s: fixed_points.to_alg_hom._proof_5 0.000301 s: fixed_points.to_alg_hom._proof_6 0.012491 s: fixed_points.to_alg_hom._proof_7 0.002288 s: faithful_mul_semiring_action.eq_of_smul_eq_smul' 0.000175 s: eq_of_smul_eq_smul 0.001093 s: to_semiring_hom_injective 0.013327 s: fixed_points.to_alg_hom._proof_8 0.005946 s: fixed_points.to_alg_hom 0.001081 s: finite_dimensional.fintype_card_le_findim_of_linear_independent 0.332223 s: findim_alg_hom 0.809034 s: matrix.findim_matrix 0.712697 s: finite_dimensional.findim_linear_map 0.380479 s: finite_dimensional.findim_linear_map' 0.228615 s: fixed_points.findim_eq_card 1.108634 s: intermediate_field.findim_fixed_field_eq_card 0.319827 s: is_galois.of_card_aut_eq_findim 0.028586 s: intermediate_field.to_subalgebra_injective 0.004427 s: intermediate_field.top_to_subalgebra 0.006022 s: intermediate_field.subset_adjoin 0.008618 s: intermediate_field.algebra_adjoin_le_adjoin 0.003107 s: intermediate_field.lift2._proof_1 0.003172 s: intermediate_field.lift2._proof_2 0.000921 s: intermediate_field.lift2._proof_3 0.001645 s: intermediate_field.lift2._proof_4 0.002901 s: intermediate_field.lift2._proof_5 0.001012 s: intermediate_field.lift2._proof_6 0.000805 s: intermediate_field.lift2._proof_7 0.016038 s: intermediate_field.lift2 0.001792 s: intermediate_field.has_lift2 0.001908 s: finset.insert_subset 0.000886 s: finset.induction_on' 0.000641 s: intermediate_field.adjoin.algebra_map_mem 0.002338 s: intermediate_field.adjoin.range_algebra_map_subset 0.009161 s: intermediate_field.adjoin_subset_adjoin_iff 0.002306 s: intermediate_field.adjoin.mono 0.001039 s: intermediate_field.subset_adjoin_of_subset_right 0.000426 s: subfield.to_submonoid._proof_1 0.000579 s: subfield.to_submonoid._proof_2 0.000642 s: subfield.to_submonoid 0.000928 s: subfield.subtype._proof_1 0.001045 s: subfield.subtype._proof_2 0.001134 s: subfield.subtype._proof_3 0.001579 s: subfield.subtype._proof_4 0.043611 s: subfield.subtype 0.237948 s: subfield.to_algebra 0.011279 s: intermediate_field.subset_adjoin_of_subset_left 0.296373 s: intermediate_field.adjoin_adjoin_left 0.027798 s: intermediate_field.induction_on_adjoin_finset 0.002880 s: intermediate_field.mem_adjoin_simple_self 0.000757 s: intermediate_field.adjoin_simple.gen 0.002207 s: intermediate_field.adjoin_simple.algebra_map_gen 0.003548 s: is_scalar_tower.algebra_map_aeval 0.251828 s: intermediate_field.aeval_gen_minpoly 0.582243 s: intermediate_field.adjoin_root_equiv_adjoin._proof_1 0.632153 s: intermediate_field.adjoin_root_equiv_adjoin._proof_2 0.557812 s: intermediate_field.adjoin_root_equiv_adjoin._proof_3 0.556011 s: intermediate_field.adjoin_root_equiv_adjoin._proof_4 0.667169 s: intermediate_field.adjoin_root_equiv_adjoin._proof_5 0.000656 s: adjoin_root.root.equations._eqn_1 0.004495 s: adjoin_root.lift_root 1.103789 s: intermediate_field.adjoin_root_equiv_adjoin._proof_6 0.314143 s: intermediate_field.adjoin_root_equiv_adjoin 0.023408 s: alg_equiv.to_alg_hom_eq_coe 0.002205 s: alg_equiv.coe_alg_hom 0.014784 s: intermediate_field.alg_hom_adjoin_integral_equiv._proof_1 0.016844 s: intermediate_field.alg_hom_adjoin_integral_equiv._proof_2 0.048561 s: adjoin_root.aeval_alg_hom_eq_zero 0.382402 s: adjoin_root.equiv._proof_1 0.409779 s: adjoin_root.equiv._proof_2 0.032691 s: alg_hom.equalizer._proof_1 0.008531 s: alg_hom.equalizer._proof_2 0.003058 s: alg_hom.equalizer._proof_3 0.004925 s: alg_hom.equalizer._proof_4 0.004416 s: alg_hom.equalizer._proof_5 0.002976 s: alg_hom.equalizer 0.028349 s: adjoin_root.lift_hom_eq_alg_hom 0.297547 s: adjoin_root.equiv._proof_3 0.689614 s: adjoin_root.equiv._proof_4 0.397082 s: adjoin_root.equiv 0.036016 s: intermediate_field.alg_hom_adjoin_integral_equiv._proof_3 0.226415 s: intermediate_field.alg_hom_adjoin_integral_equiv 0.105058 s: intermediate_field.fintype_of_alg_hom_adjoin_integral 0.016380 s: intermediate_field.adjoin_simple_eq_bot_iff 0.002336 s: intermediate_field.adjoin_zero 0.000391 s: polynomial.nat_degree_X 0.170297 s: minpoly.eq_X_sub_C_of_algebra_map_inj 0.287114 s: minpoly.eq_X_sub_C 0.154685 s: minpoly.zero 0.400104 s: polynomial.eq_prod_roots_of_splits 0.000520 s: multiset.prod_ne_zero 0.086188 s: polynomial.nat_degree_multiset_prod 0.218266 s: polynomial.nat_degree_eq_card_roots 0.025230 s: multiset.to_finset_card_of_nodup 0.081090 s: polynomial.not_unit_X_sub_C 0.169561 s: polynomial.root_multiplicity_le_one_of_separable 0.294586 s: polynomial.count_roots_le_one 0.202903 s: polynomial.nodup_roots 0.324460 s: intermediate_field.card_alg_hom_adjoin_integral 0.076856 s: polynomial.separable_X 0.000392 s: polynomial.splits_X 0.320217 s: intermediate_field.lift2_alg._proof_1 0.338419 s: intermediate_field.lift2_alg._proof_2 0.367993 s: intermediate_field.lift2_alg._proof_3 0.349957 s: intermediate_field.lift2_alg._proof_4 0.339975 s: intermediate_field.lift2_alg._proof_5 0.333751 s: intermediate_field.lift2_alg._proof_6 0.325343 s: intermediate_field.lift2_alg 0.072692 s: alg_hom.comp_assoc 0.001286 s: alg_hom.id_apply 0.011757 s: alg_equiv.symm_comp 0.012942 s: alg_equiv.arrow_congr._proof_1 0.007394 s: alg_equiv.comp_symm 0.012991 s: alg_equiv.arrow_congr._proof_2 0.006503 s: alg_equiv.arrow_congr 0.004222 s: intermediate_field.lift2_alg_equiv._proof_1 0.003521 s: intermediate_field.lift2_alg_equiv._proof_2 0.003402 s: intermediate_field.lift2_alg_equiv._proof_3 0.004251 s: intermediate_field.lift2_alg_equiv._proof_4 0.005556 s: intermediate_field.lift2_alg_equiv._proof_5 0.171405 s: intermediate_field.lift2_alg_equiv 0.000239 s: alg_equiv.refl 0.018152 s: alg_hom.extend_scalars._proof_1 0.001410 s: alg_hom.extend_scalars._proof_2 0.004177 s: alg_hom.extend_scalars._proof_3 0.002396 s: alg_hom.extend_scalars._proof_4 0.002923 s: alg_hom.extend_scalars._proof_5 0.013161 s: alg_hom.extend_scalars 0.001458 s: alg_hom.restrict_scalars._proof_1 0.001297 s: alg_hom.restrict_scalars._proof_2 0.000896 s: alg_hom.restrict_scalars._proof_3 0.008199 s: alg_hom.restrict_scalars._proof_5 0.004863 s: alg_hom.restrict_scalars 0.001498 s: alg_hom_equiv_sigma._proof_1 0.010148 s: alg_hom_equiv_sigma._proof_2 0.040708 s: alg_hom_equiv_sigma._proof_3 0.015771 s: alg_hom_equiv_sigma 0.170161 s: intermediate_field.lift2_tower 0.091437 s: power_basis 0.014390 s: power_basis.dim 0.001028 s: alg_equiv.to_fun_eq_coe 0.005925 s: alg_equiv.to_linear_equiv._proof_1 0.004715 s: alg_equiv.to_linear_equiv._proof_2 0.002917 s: alg_equiv.to_linear_equiv 0.002331 s: alg_equiv.to_linear_equiv_apply 0.001587 s: alg_equiv.map_pow 0.240194 s: intermediate_field.adjoin_root_equiv_adjoin_apply_root 0.246263 s: minpoly.unique 0.028446 s: polynomial.nat_degree_le_of_dvd 0.018502 s: polynomial.ring_hom_ext 0.002774 s: polynomial.ring_hom_ext' 0.000304 s: fin.coe_injective 0.015652 s: polynomial.degree_lt_iff_coeff_zero 0.129828 s: is_integral.linear_independent_pow 0.041778 s: power_basis.polynomial.mem_supported_range 0.066209 s: power_basis.mem_span_pow' 0.050796 s: is_integral.mem_span_pow 0.336189 s: adjoin_root.power_basis_is_basis 0.246539 s: intermediate_field.power_basis_is_basis 0.093030 s: intermediate_field.adjoin.power_basis 0.030373 s: power_basis.gen 0.030196 s: power_basis.is_basis 0.164004 s: power_basis.findim 0.281725 s: intermediate_field.adjoin.findim 0.044056 s: finset.sum_const_nat 0.790682 s: is_galois.of_separable_splitting_field_aux 0.109482 s: intermediate_field.top_equiv 0.767904 s: is_galois.of_separable_splitting_field 0.003891 s: continuous_linear_map.lsmul._proof_1 0.000295 s: pfunctor.W.dest._sunfold 0.000257 s: rbnode.find._match_2.equations._eqn_2 0.004624 s: real.abs_exp 0.000429 s: set.not_mem_of_mem_diff 0.001016 s: finsupp.coe_sub 0.056431 s: linear_independent_iff_not_smul_mem_span 0.017413 s: linear_independent_iff_not_mem_span 0.002033 s: rack.envel_group.div_inv_monoid._proof_5 0.000291 s: turing.evals_to.steps 0.000763 s: turing.evals_to_in_time 0.000121 s: turing.tm2_outputs_in_time 0.001847 s: turing.tm2_computable_in_poly_time 0.001256 s: turing.tm2_computable_in_poly_time.cases_on 0.000819 s: turing.tm2_computable_in_poly_time.no_confusion_type 0.001562 s: turing.tm2_computable_in_poly_time.no_confusion 0.001759 s: turing.tm2_computable_in_poly_time.mk.inj 0.001743 s: turing.tm2_computable_in_poly_time.mk.inj_arrow 0.002250 s: category_theory.symmetric_category 0.000487 s: category_theory.symmetric_category.to_braided_category 0.000552 s: category_theory.monoidal_of_chosen_finite_products.monoidal_of_chosen_finite_products_synonym.category_theory.monoidal_category 0.078721 s: category_theory.monoidal_of_chosen_finite_products.hexagon_forward 0.012005 s: category_theory.symmetric_of_chosen_finite_products._proof_2 0.077615 s: category_theory.monoidal_of_chosen_finite_products.hexagon_reverse 0.012910 s: category_theory.symmetric_of_chosen_finite_products._proof_3 0.011649 s: category_theory.monoidal_of_chosen_finite_products.symmetry 0.002097 s: category_theory.symmetric_of_chosen_finite_products._proof_4 0.031327 s: category_theory.symmetric_of_chosen_finite_products 0.000492 s: category_theory.monoidal.types_symmetric 0.013321 s: Mon_Type_equivalence_Mon.inverse._proof_1 0.004979 s: Mon_Type_equivalence_Mon.inverse._proof_2 0.004773 s: category_theory.monoidal.associator_hom_apply 0.006004 s: Mon_Type_equivalence_Mon.inverse._proof_3 0.004921 s: Mon_Type_equivalence_Mon.inverse._proof_4 0.004069 s: Mon_Type_equivalence_Mon.inverse._proof_5 0.006707 s: Mon_Type_equivalence_Mon.inverse._proof_6 0.010314 s: Mon_Type_equivalence_Mon.inverse._proof_7 0.008201 s: Mon_Type_equivalence_Mon.inverse._proof_8 0.005057 s: Mon_Type_equivalence_Mon.inverse._proof_9 0.026556 s: Mon_Type_equivalence_Mon.inverse._proof_10 0.037472 s: Mon_Type_equivalence_Mon.inverse._proof_11 0.066108 s: Mon_Type_equivalence_Mon.inverse._proof_12 0.099240 s: Mon_Type_equivalence_Mon.inverse._proof_13 0.048126 s: Mon_Type_equivalence_Mon.inverse 0.004518 s: CommMon_Type_equivalence_CommMon.inverse._proof_1 0.000922 s: CommMon_Type_equivalence_CommMon.inverse._proof_2 0.003367 s: CommMon_Type_equivalence_CommMon.inverse._proof_3 0.010893 s: CommMon_Type_equivalence_CommMon.inverse._proof_4 0.026241 s: CommMon_Type_equivalence_CommMon.inverse._proof_5 0.056223 s: CommMon_Type_equivalence_CommMon.inverse._proof_6 0.047569 s: CommMon_Type_equivalence_CommMon.inverse 0.022281 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_1 0.009565 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_2 0.007393 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_3 0.007110 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_4 0.006399 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_5 0.021034 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_6 0.025822 s: Mon_Type_equivalence_Mon.Mon_monoid._proof_7 0.010953 s: Mon_Type_equivalence_Mon.Mon_monoid 0.000428 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_1 0.000284 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_2 0.000128 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_3 0.000883 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_4 0.000411 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_5 0.007516 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid._proof_6 0.001229 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid 0.001539 s: Mon_Type_equivalence_Mon.functor._proof_1 0.004859 s: Mon_Type_equivalence_Mon.functor._proof_2 0.011945 s: Mon_Type_equivalence_Mon.functor._proof_3 0.018237 s: Mon_Type_equivalence_Mon.functor._proof_4 0.021169 s: Mon_Type_equivalence_Mon.functor 0.023203 s: CommMon_Type_equivalence_CommMon.functor._proof_1 0.028641 s: CommMon_Type_equivalence_CommMon.functor._proof_2 0.050666 s: CommMon_Type_equivalence_CommMon.functor 0.014672 s: CommMon_Type_equivalence_CommMon._proof_9 0.021190 s: category_theory.comma.map_right_comp._proof_1 0.083730 s: category_theory.comma.map_right_comp._proof_2 0.034318 s: category_theory.comma.map_right_comp._proof_3 0.119082 s: category_theory.comma.map_right_comp._proof_4 0.326417 s: category_theory.comma.map_right_comp._proof_5 0.325868 s: category_theory.comma.map_right_comp._proof_6 0.060472 s: category_theory.comma.map_right_comp 0.021314 s: category_theory.comma.map_right_comp_hom_app_right 0.000257 s: fintype.exists_equiv_fin 0.001992 s: fintype.nonempty_equiv_of_card_eq 0.003401 s: fintype.injective_iff_surjective_of_equiv 0.001102 s: fintype.bijective_iff_injective_and_card 0.102627 s: fixed_points.to_alg_hom_bijective 0.014562 s: fixed_points.to_alg_hom_equiv._proof_3 0.000429 s: add_monoid_algebra.single_zero_alg_hom._proof_4 0.011877 s: complex.complex_order._proof_1 0.052344 s: complex.complex_order._proof_2 0.000198 s: complex.complex_order._proof_3 0.063359 s: complex.complex_order._proof_4 0.000769 s: complex.complex_order 0.000135 s: filter.germ.has_inf 0.000192 s: filter.germ.semilattice_inf._proof_1 0.000197 s: filter.germ.semilattice_inf._proof_2 0.007226 s: filter.germ.semilattice_inf._proof_3 0.000332 s: filter.germ.semilattice_inf._proof_4 0.005693 s: filter.germ.semilattice_inf._proof_5 0.002408 s: filter.germ.semilattice_inf._proof_6 0.003950 s: filter.germ.semilattice_inf._proof_7 0.001493 s: filter.germ.semilattice_inf 0.000683 s: filter.germ.semilattice_inf_top._proof_8 0.000549 s: applicative_transformation.id_transformation._proof_1 0.000605 s: applicative_transformation.id_transformation._proof_2 0.000305 s: applicative_transformation.id_transformation 0.000375 s: applicative_transformation.id_transformation.equations._eqn_1 0.043205 s: nhds_top 0.000336 s: equiv.ext_iff 0.000382 s: equiv.perm.ext_iff 0.000834 s: equiv.perm.one_apply 0.012230 s: equiv.perm.support_eq_empty_iff 0.000775 s: equiv.perm.card_support_eq_zero 0.001996 s: finset.card_le_one_iff 0.001794 s: finset.one_lt_card_iff 0.002522 s: equiv.perm.one_lt_card_support_of_ne_one 0.005979 s: equiv.perm.card_support_ne_one 0.000041 s: auto.by_contradiction_trick 0.000716 s: ring_hom.mem_srange_self 0.000362 s: ring_hom.srange_restrict 0.044969 s: ring_hom.range_restrict_field 0.047582 s: ring_hom.range_restrict_field.equations._eqn_1 0.000616 s: mv_polynomial.acounit 0.022915 s: mv_polynomial.counit 0.001478 s: mv_polynomial.acounit_X 0.031282 s: mv_polynomial.counit_X 0.006653 s: bex_imp_distrib 0.000245 s: not_bex 0.000112 s: decidable_rel.equations._eqn_1 0.000282 s: linear_map.general_linear_group 0.006700 s: linear_map.general_linear_group.of_linear_equiv._proof_1 0.003673 s: linear_map.general_linear_group.of_linear_equiv._proof_2 0.001014 s: linear_map.general_linear_group.of_linear_equiv 0.001366 s: normed_group_hom.cases_on 0.000765 s: normed_group_hom.no_confusion_type 0.084090 s: Gromov_Hausdorff.HD_below_aux2 0.000838 s: nat.mul_lt_mul 0.012920 s: nat.div_lt_self 0.001043 s: nat.factors_lemma 0.009379 s: nat.modeq.modeq_of_modeq_mul_left 0.000085 s: nat.mod_mul_left_mod 0.002790 s: category_theory.presieve.is_sheaf_of_le 0.009667 s: nonneg_add_comm_group 0.002034 s: nonneg_add_comm_group.add 0.000093 s: prime_multiset.coe_multiset_pnat_nat 0.000618 s: category_theory.structured_arrow.proj 0.000305 s: category_theory.Ran.diagram 0.008708 s: category_theory.comma.map_left._proof_1 0.017759 s: category_theory.comma.map_left._proof_2 0.019257 s: category_theory.comma.map_left._proof_3 0.017875 s: category_theory.comma.map_left 0.001016 s: category_theory.structured_arrow.map 0.004984 s: category_theory.limits.cone.whisker 0.001583 s: category_theory.limits.limit.pre 0.005947 s: category_theory.limits.limit.pre_π 0.022293 s: category_theory.limits.limit.pre_pre 0.005009 s: category_theory.comma.cases_on 0.012663 s: category_theory.structured_arrow.eq_mk 0.003791 s: category_theory.structured_arrow.map_mk 0.002660 s: category_theory.structured_arrow.map_comp 0.092904 s: category_theory.Ran.loc._proof_2 0.000129 s: zero_hom.id._proof_1 0.000108 s: zero_hom.id 0.000382 s: zero_hom.id_apply 0.016935 s: category_theory.uncurry_natural_right 0.080796 s: is_primitive_root.zmod_equiv_gpowers_apply_coe_int 0.037587 s: is_primitive_root.zmod_equiv_gpowers_symm_apply_gpow 0.002449 s: subgroup.center._proof_1 0.002158 s: subgroup.center._proof_2 0.001165 s: subgroup.center._proof_3 0.000469 s: subgroup.center 0.003099 s: subgroup.center_normal 0.003547 s: submodule.add_eq_sup 0.013844 s: submodule.lt_add_iff_not_mem 0.011357 s: has_forget_to_Semigroup.equations._eqn_1 0.001700 s: dense.inter_nhds_nonempty 0.001001 s: 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0.050384 s: composition_as_set_equiv._proof_5 0.066872 s: composition_as_set_equiv._proof_6 0.014665 s: composition_as_set_equiv 0.000091 s: composition_as_set_fintype 0.006412 s: composition.to_composition_as_set._proof_1 0.005112 s: composition.boundary_last 0.012877 s: composition.to_composition_as_set._proof_2 0.000414 s: composition.to_composition_as_set 0.006053 s: list.eq_of_sum_take_eq 0.000405 s: composition.to_composition_as_set.equations._eqn_1 0.004792 s: composition.card_boundaries_eq_succ_length 0.006350 s: composition.to_composition_as_set_length 0.000450 s: rel_iso.ext_iff 0.004907 s: fin.strict_mono_unique 0.001661 s: finset.coe_fin_range 0.000432 s: finset.fin_range.equations._eqn_1 0.001179 s: finset.fin_range_card 0.004755 s: finset.order_emb_of_fin_unique 0.006125 s: finset.order_emb_of_fin_unique' 0.002796 s: composition.order_emb_of_fin_boundaries 0.026446 s: composition.to_composition_as_set_blocks 0.002661 s: composition_equiv._proof_1 0.000633 s: 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0.000116 s: composition.one_le_blocks_fun 0.014823 s: formal_multilinear_series.remove_zero_apply_composition 0.066625 s: formal_multilinear_series.left_inv_remove_zero 0.011619 s: tactic_doc._2729475914 0.000064 s: truncated_witt_vector 0.007304 s: function.surjective.add_comm_group._proof_1 0.006376 s: function.surjective.add_comm_group._proof_2 0.006221 s: function.surjective.add_comm_group._proof_3 0.005886 s: function.surjective.add_comm_group._proof_4 0.009113 s: function.surjective.add_comm_group._proof_5 0.000770 s: function.surjective.sub_neg_add_monoid._proof_1 0.000387 s: function.surjective.sub_neg_add_monoid._proof_2 0.000412 s: function.surjective.sub_neg_add_monoid._proof_3 0.000821 s: function.surjective.sub_neg_add_monoid._proof_4 0.001069 s: function.surjective.sub_neg_add_monoid._proof_5 0.003553 s: function.surjective.sub_neg_add_monoid._proof_6 0.003606 s: function.surjective.sub_neg_add_monoid 0.001192 s: function.surjective.add_group._proof_1 0.000708 s: 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0.000937 s: invertible.map._proof_1 0.000765 s: invertible.map._proof_2 0.000500 s: invertible.map 0.001201 s: ring_hom.coe_monoid_hom 0.009486 s: is_scalar_tower.invertible.algebra_tower._proof_1 0.007348 s: is_scalar_tower.invertible.algebra_tower 0.000518 s: is_scalar_tower.invertible_algebra_coe_nat._proof_1 0.006365 s: is_scalar_tower.invertible_algebra_coe_nat 0.001748 s: mv_polynomial.invertible_coe_nat 0.148469 s: _private.849580341.comm_ring_aux₁._proof_1 0.000302 s: witt_vector.eval.equations._eqn_1 0.032084 s: witt_vector.peval.equations._eqn_1 0.000137 s: function.uncurry.equations._eqn_1 0.004641 s: witt_vector.matrix_vec_empty_coeff 0.066192 s: witt_structure_int.equations._eqn_1 0.000376 s: eq_iff_eq_cancel_right 0.015185 s: mv_polynomial.map_map_range_eq_iff 0.001106 s: int.coe_cast_ring_hom 0.123175 s: witt_structure_rat.equations._eqn_1 0.092930 s: mv_polynomial.bind₁_C_right 0.420869 s: witt_structure_rat_rec_aux 0.226928 s: witt_structure_rat_rec 0.000787 s: 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omega.term.sub.equations._eqn_1 0.000260 s: omega.term.val._main.equations._eqn_1 0.000060 s: omega.term.val.equations._eqn_1 0.000055 s: omega.coeffs.val.equations._eqn_1 0.000745 s: omega.coeffs.val_between._main.equations._eqn_2 0.000101 s: omega.coeffs.val_between.equations._eqn_2 0.000447 s: list.func.pointwise._main.equations._eqn_1 0.000141 s: list.func.pointwise.equations._eqn_1 0.000664 s: list.func.get_nil 0.000795 s: list.func.pointwise._main.equations._eqn_2 0.000276 s: list.func.pointwise.equations._eqn_2 0.000276 s: list.func.get._main.equations._eqn_2 0.000094 s: list.func.get.equations._eqn_2 0.000172 s: list.func.get._main.equations._eqn_1 0.000054 s: list.func.get.equations._eqn_1 0.000737 s: list.func.pointwise._main.equations._eqn_3 0.000190 s: list.func.pointwise.equations._eqn_3 0.000655 s: list.func.pointwise._main.equations._eqn_4 0.000171 s: list.func.pointwise.equations._eqn_4 0.000812 s: list.func.get._main.equations._eqn_4 0.000106 s: 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s: category_theory.under.post._proof_1 0.002680 s: sub_eq_sub_iff_sub_eq_sub 0.002167 s: mul_self_mul_inv 0.000851 s: strict_mono_decr_on.inj_on 0.000224 s: sub_lt_sub_left 0.034699 s: real.strict_mono_decr_on_arccos 0.001073 s: real.arccos_inj_on 0.250927 s: inner_product_geometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi 0.031725 s: nat.decidable_exists_lt._main 0.001710 s: nat.decidable_exists_lt._main._proof_2 0.001450 s: nat.decidable_exists_lt._main.equations._eqn_2 0.000232 s: finmap.entries 0.001585 s: finmap.lift_on._proof_1 0.000276 s: finmap.nodupkeys 0.003120 s: finmap.lift_on._proof_2 0.001048 s: finmap.lift_on 0.001353 s: list.lookup._main 0.000084 s: list.lookup 0.000125 s: alist.lookup 0.001837 s: list.lookup_cons_eq 0.001240 s: list.lookup_cons_ne 0.007263 s: list.of_mem_lookup 0.000521 s: list.lookup_nil 0.003917 s: list.lookup_is_some 0.000271 s: list.mem_keys_of_mem 0.000835 s: list.nodupkeys.eq_of_fst_eq 0.001065 s: list.nodupkeys.eq_of_mk_mem 0.003322 s: list.mem_lookup 0.000834 s: list.mem_lookup_iff 0.000782 s: list.perm_lookup 0.000505 s: alist.perm_lookup 0.000236 s: finmap.lookup._proof_1 0.000154 s: finmap.lookup 0.000137 s: list.to_finmap 0.000305 s: list.to_finmap.equations._eqn_1 0.001912 s: finmap.lookup_to_finmap 0.000230 s: list.to_alist.equations._eqn_1 0.000156 s: alist.lookup.equations._eqn_1 0.000218 s: list.kinsert.equations._eqn_1 0.000917 s: list.lookup_kinsert 0.003201 s: list.lookup_kerase_ne 0.001857 s: list.lookup_kinsert_ne 0.003064 s: list.lookup_erase_dupkeys 0.000900 s: alist.lookup_to_alist 0.000704 s: finmap.lookup_list_to_finmap 0.000516 s: tactic.simp_config 0.000102 s: tactic.simp_config.cases_on 0.000265 s: tactic.simp_config.no_confusion_type 0.000421 s: tactic.simp_config.no_confusion 0.000569 s: tactic.simp_config.mk.inj 0.000919 s: tactic.simp_config.mk.inj_arrow 0.000426 s: is_submonoid.dcases_on 0.001738 s: additive.is_add_submonoid 0.008358 s: additive.is_add_subgroup 0.000060 s: generalized_continued_fraction.int_fract_pair.b 0.000674 s: generalized_continued_fraction.of._match_1 0.000872 s: generalized_continued_fraction.of._match_1.equations._eqn_1 0.000217 s: fin_congr 0.003467 s: fin_congr_symm 0.000477 s: norm_num.dvd_eq_int 0.000655 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.construct_equalizer._proof_3 0.000452 s: trans_trichotomous_right 0.000228 s: preorder_hom.has_top._proof_1 0.000303 s: preorder_hom.has_top 0.001180 s: preorder_hom.partial_order._proof_1 0.000259 s: preorder_hom.partial_order 0.000257 s: preorder_hom.order_top._proof_1 0.000544 s: preorder_hom.order_top._proof_2 0.000893 s: preorder_hom.order_top._proof_3 0.000499 s: preorder_hom.order_top._proof_4 0.000283 s: preorder_hom.order_top._proof_5 0.002061 s: preorder_hom.order_top 0.001446 s: multiset.map_repeat 0.005249 s: associates.factors_prime_pow 0.000106 s: onote.split._match_1 0.000048 s: ulift.pure 0.000124 s: ulift.seq._main 0.000113 s: ulift.seq 0.000134 s: ulift.bind._main 0.000073 s: ulift.bind 0.000636 s: ulift.monad 0.001185 s: ulift.is_lawful_functor._match_2 0.002902 s: ulift.is_lawful_functor._match_2.equations._eqn_1 0.000396 s: filter.eventually_le.le_iff_eq 0.176991 s: measure_theory.integral_eq_zero_iff_of_nonneg_ae 0.202028 s: interval_integral.integral_eq_zero_iff_of_le_of_nonneg_ae 0.037761 s: filter.supr_ultrafilter_le_eq 0.000078 s: has_sdiff.cases_on 0.000063 s: has_sdiff.no_confusion_type 0.000782 s: pgame.relabelling.below 0.001467 s: pgame.relabelling.brec_on 0.000635 s: pgame.relabelling.cases_on 0.000988 s: pgame.short.mk' 0.000155 s: pgame.fintype_left_moves 0.000178 s: pgame.fintype_right_moves 0.000244 s: pgame.move_left_short._proof_1 0.000050 s: pgame.move_left_short._proof_2 0.000046 s: pgame.move_left_short._proof_3 0.000661 s: pgame.move_left_short 0.000144 s: pgame.move_right_short._proof_1 0.000051 s: pgame.move_right_short._proof_2 0.000026 s: pgame.move_right_short._proof_3 0.000580 s: pgame.move_right_short 0.004813 s: pgame.short_of_relabelling._main 0.000061 s: pgame.short_of_relabelling 0.000210 s: seq.of_lazy_list._match_1 0.000067 s: seq.of_lazy_list 0.000074 s: seq.coe_lazy_list 0.000084 s: relation.comp 0.002488 s: relation.comp_assoc 0.016899 s: continuous_linear_map.flip_multilinear._proof_1 0.000235 s: dvd_add_left 0.006365 s: multiset.dvd_sum 0.003654 s: finset.dvd_sum 0.033404 s: polynomial.dvd_term_of_dvd_eval_of_dvd_terms 0.024606 s: category_theory.limits.cone.op._proof_1 0.006678 s: category_theory.limits.cone.op 0.006459 s: category_theory.limits.cone.op.equations._eqn_1 0.002360 s: is_min_filter.bicomp_mono 0.000849 s: is_min_filter.sup 0.000892 s: measure_theory.measure.finite_spanning_sets_in.no_confusion_type 0.002550 s: measure_theory.measure.finite_spanning_sets_in.no_confusion 0.001453 s: measure_theory.measure.finite_spanning_sets_in.mk.inj 0.003117 s: bilin_form.comp._proof_1 0.003155 s: bilin_form.comp._proof_2 0.001494 s: bilin_form.comp._proof_3 0.001819 s: bilin_form.comp._proof_4 0.003834 s: bilin_form.comp 0.000474 s: bilin_form.comp_left 0.000080 s: ordering.or_else._main 0.000174 s: ordering.or_else._main.equations._eqn_3 0.000244 s: pgame.zero_right_moves 0.000498 s: subtype.semilattice_inf_bot._proof_1 0.000337 s: subtype.semilattice_inf_bot._proof_2 0.000558 s: subtype.semilattice_inf_bot._proof_3 0.000589 s: subtype.semilattice_inf_bot._proof_4 0.000333 s: subtype.semilattice_inf_bot._proof_5 0.000672 s: subtype.semilattice_inf_bot._proof_6 0.000510 s: subtype.semilattice_inf_bot._proof_7 0.000619 s: subtype.semilattice_inf_bot._proof_8 0.005828 s: subtype.semilattice_inf_bot 0.007256 s: subtype.semilattice_inf_bot.equations._eqn_1 0.000669 s: category_theory.functor.map_End._proof_1 0.001839 s: smooth_manifold_with_corners.cases_on 0.001578 s: measurable_equiv.Pi_congr_right._proof_1 0.000235 s: category_theory.non_preadditive_abelian.σ._proof_1 0.000112 s: category_theory.non_preadditive_abelian.σ._proof_2 0.000255 s: category_theory.limits.diag 0.000108 s: category_theory.non_preadditive_abelian.σ._proof_3 0.000603 s: category_theory.non_preadditive_abelian.σ._proof_4 0.000381 s: category_theory.non_preadditive_abelian.σ._proof_5 0.000125 s: category_theory.non_preadditive_abelian.r._proof_1 0.000084 s: category_theory.non_preadditive_abelian.r._proof_2 0.000348 s: category_theory.non_preadditive_abelian.r._proof_3 0.000122 s: category_theory.non_preadditive_abelian.r._proof_4 0.000097 s: category_theory.non_preadditive_abelian.r._proof_5 0.000305 s: category_theory.non_preadditive_abelian.r._proof_6 0.000111 s: category_theory.non_preadditive_abelian.r._proof_7 0.000234 s: category_theory.non_preadditive_abelian.r._proof_8 0.001966 s: category_theory.non_preadditive_abelian.r 0.006463 s: category_theory.arrow.lift_struct.fac_left 0.003338 s: category_theory.arrow.lift.fac_left 0.002960 s: category_theory.arrow.hom_mk'_left 0.006859 s: category_theory.arrow.lift_mk'_left 0.003754 s: category_theory.is_iso_of_mono_of_strong_epi 0.000444 s: category_theory.non_preadditive_abelian.strong_epi_of_epi 0.000246 s: category_theory.non_preadditive_abelian.is_iso_of_mono_of_epi 0.001897 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_1 0.007735 s: category_theory.limits.is_kernel.iso_kernel._proof_1 0.005173 s: category_theory.limits.is_kernel.iso_kernel._proof_2 0.025019 s: category_theory.limits.is_kernel.iso_kernel._proof_3 0.006856 s: category_theory.limits.is_kernel.iso_kernel 0.000250 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_2 0.002580 s: category_theory.limits.kernel_fork.condition_assoc 0.006267 s: category_theory.limits.is_kernel.of_comp_iso._proof_1 0.002967 s: category_theory.limits.kernel.of_comp_iso._proof_1 0.011791 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_3 0.003897 s: category_theory.limits.is_kernel.of_comp_iso._proof_2 0.004598 s: category_theory.limits.is_kernel.of_comp_iso._proof_3 0.037701 s: category_theory.limits.is_kernel.of_comp_iso._proof_4 0.041319 s: category_theory.limits.is_kernel.of_comp_iso._proof_5 0.027469 s: category_theory.limits.is_kernel.of_comp_iso 0.008114 s: category_theory.limits.kernel.of_comp_iso 0.000201 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_4 0.004017 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_5 0.000628 s: category_theory.non_preadditive_abelian.mono_factor_thru_image 0.000498 s: category_theory.non_preadditive_abelian.is_iso_factor_thru_image 0.001970 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel._proof_6 0.029494 s: category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel 0.005002 s: category_theory.non_preadditive_abelian.mono_Δ 0.019922 s: category_theory.non_preadditive_abelian.mono_r 0.002003 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_1 0.000236 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_2 0.003425 s: category_theory.limits.cokernel.of_iso_comp._proof_1 0.007675 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_3 0.003503 s: category_theory.limits.cokernel.of_iso_comp 0.000172 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_4 0.004490 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_5 0.000248 s: category_theory.non_preadditive_abelian.coimage._proof_1 0.000112 s: category_theory.non_preadditive_abelian.coimage._proof_2 0.000537 s: category_theory.non_preadditive_abelian.coimage 0.000521 s: category_theory.non_preadditive_abelian.factor_thru_coimage._proof_1 0.000753 s: category_theory.non_preadditive_abelian.factor_thru_coimage 0.001144 s: category_theory.epi_comp 0.000397 s: category_theory.non_preadditive_abelian.coimage.π 0.001514 s: category_theory.non_preadditive_abelian.coimage.fac 0.004085 s: category_theory.normal_epi.desc' 0.012039 s: category_theory.non_preadditive_abelian.factor_thru_coimage.category_theory.mono 0.000448 s: category_theory.non_preadditive_abelian.epi_factor_thru_coimage 0.000335 s: category_theory.non_preadditive_abelian.is_iso_factor_thru_coimage 0.004070 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel._proof_6 0.024698 s: category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel 0.002079 s: category_theory.limits.split_epi_prod_snd._proof_1 0.000631 s: category_theory.limits.split_epi_prod_snd 0.031525 s: category_theory.non_preadditive_abelian.epi_r 0.000799 s: category_theory.non_preadditive_abelian.is_iso_r 0.000676 s: category_theory.non_preadditive_abelian.σ 0.000326 s: category_theory.non_preadditive_abelian.has_sub 0.000130 s: category_theory.non_preadditive_abelian.has_neg 0.000242 s: computability.encoding.cases_on 0.000162 s: computability.encoding.no_confusion_type 0.000260 s: computability.encoding.no_confusion 0.005678 s: linear_order.cases_on 0.026186 s: linear_order.to_partial_order_injective 0.007867 s: multiplicity.zero 0.004047 s: turing.TM2to1.tr_normal._main 0.000203 s: turing.TM2to1.tr_normal 0.001788 s: turing.TM2to1.tr_normal._main.equations._eqn_6 0.000576 s: turing.TM2to1.tr_normal.equations._eqn_6 0.000100 s: fixed_points.next 0.005390 s: fixed_points.next_le 0.004629 s: fixed_points.next_eq 0.000342 s: fixed_points.next_fixed._proof_1 0.000494 s: subring.closure_eq 0.000388 s: polynomial.next_coeff 0.000256 s: polynomial.next_coeff.equations._eqn_1 0.016862 s: polynomial.coeff_one_reverse 0.013652 s: multilinear_map.mk_continuous_multilinear._proof_2 0.015449 s: multilinear_map.mk_continuous_multilinear._proof_3 0.013155 s: multilinear_map.mk_continuous_multilinear._proof_4 0.008349 s: multilinear_map.coe_mk_continuous 0.069793 s: multilinear_map.mk_continuous_multilinear._proof_5 0.113744 s: multilinear_map.mk_continuous_multilinear._proof_6 0.151889 s: multilinear_map.mk_continuous_norm_le' 0.684729 s: multilinear_map.mk_continuous_multilinear._proof_7 0.058545 s: multilinear_map.mk_continuous_multilinear 0.116944 s: multilinear_map.mk_continuous_multilinear_norm_le' 0.079977 s: multilinear_map.mk_continuous_multilinear_norm_le 0.105025 s: continuous_multilinear_map.curry_sum_equiv._proof_11 0.011731 s: add_aut.conj._proof_1 0.004616 s: add_aut.conj._proof_2 0.003217 s: add_aut.conj._proof_3 0.011385 s: add_aut.conj._proof_4 0.000576 s: to_mul_of_mul 0.000421 s: to_mul_add 0.001733 s: add_aut.mul_apply 0.027272 s: add_aut.conj._proof_5 0.006382 s: add_aut.conj 0.011029 s: sesq_form.comp._proof_1 0.004538 s: sesq_form.comp._proof_2 0.011510 s: sesq_form.comp._proof_3 0.004568 s: sesq_form.comp._proof_4 0.002563 s: sesq_form.comp 0.000767 s: sesq_form.comp_right 0.000485 s: submonoid.to_linear_ordered_cancel_comm_monoid._proof_1 0.001808 s: category_theory.limits.biprod.inl_mono._proof_1 0.000662 s: category_theory.limits.biprod.inl_mono 0.000320 s: hahn_series.ring._proof_2 0.000339 s: prod.normed_ring._proof_1 0.000190 s: prod.semi_normed_ring._proof_1 0.046029 s: max_mul_mul_le_max_mul_max 0.036180 s: prod.semi_normed_ring._proof_2 0.042352 s: prod.semi_normed_ring 0.000391 s: prod.normed_ring._proof_2 0.054822 s: prod.normed_ring 0.000275 s: lazy_list.reverse.equations._eqn_1 0.011884 s: parser.mono.bind 0.000339 s: parser.mono.and_then 0.002220 s: parser.mono.mmap'._main 0.001033 s: parser.mono.mmap'._main.equations._eqn_2 0.000961 s: finset.map_refl 0.000943 s: equiv_functor_finset._proof_1 0.001744 s: finset.mem_map_equiv 0.004095 s: equiv_functor_finset._proof_2 0.000252 s: equiv_functor_finset 0.000234 s: equiv_functor_finset.equations._eqn_1 0.013093 s: parser.orelse_eq_done 0.001419 s: parser.static.orelse 0.000616 s: semiquot.blur'._proof_1 0.000775 s: semiquot.blur'._proof_2 0.000537 s: semiquot.blur' 0.000091 s: semiquot.blur._proof_1 0.000133 s: semiquot.blur 0.000192 s: semiquot.blur.equations._eqn_1 0.002430 s: semiquot.blur_eq_blur' 0.010197 s: algebraic_geometry.open_to_localization._proof_1 0.006509 s: algebraic_geometry.open_to_localization._proof_2 0.008104 s: algebraic_geometry.open_to_localization._proof_3 0.042366 s: algebraic_geometry.open_to_localization 0.012781 s: algebraic_geometry.open_to_localization_apply 0.003221 s: category_theory.equiv_yoneda_inv_app 0.166314 s: real.normed_field.equations._eqn_1 0.000099 s: has_to_string.cases_on 0.000071 s: has_to_string.no_confusion_type 0.000296 s: mul_equiv.simps.symm_apply 0.000019 s: combinator.I 0.000078 s: combinator.I.equations._eqn_1 0.000090 s: int.sqrt 0.000078 s: int.sqrt_nonneg 0.000562 s: direct_sum.ghas_mul.sizeof 0.000143 s: direct_sum.ghas_mul.has_sizeof_inst 0.000182 s: direct_sum.ghas_one.sizeof 0.000086 s: direct_sum.ghas_one.has_sizeof_inst 0.019146 s: direct_sum.gmonoid.sizeof 0.009052 s: direct_sum.gmonoid.mk.sizeof_spec 0.005781 s: submodule.normed_space.equations._eqn_1 0.000138 s: vector.cons._main._proof_1 0.001439 s: vector.cons._main.equations._eqn_1 0.000604 s: nat.of_digits._main 0.000030 s: nat.of_digits 0.001863 s: nat.mod_add_div' 0.000160 s: nat.add_mul_mod_self_right 0.004657 s: nat.mul_mod 0.029014 s: nat.of_digits_modeq' 0.000157 s: Algebra.of 0.000991 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_1 0.000422 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_2 0.000468 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_3 0.006550 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_4 0.003123 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_5 0.001609 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_6 0.001109 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_7 0.000526 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_8 0.049311 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_9 0.038792 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_10 0.039824 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_11 0.037301 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_12 0.044772 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_13 0.063701 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_14 0.068722 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_15 0.035737 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_16 0.033456 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring._proof_17 0.023910 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring 0.007266 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_1 0.022506 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_2 0.008353 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_3 0.001916 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_4 0.079293 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_5 0.078711 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra._proof_6 0.042811 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.algebra 0.011720 s: Module.Mon_Module_equivalence_Algebra.functor._proof_1 0.022431 s: Module.Mon_Module_equivalence_Algebra.functor._proof_2 0.005979 s: Module.Mon_Module_equivalence_Algebra.functor._proof_3 0.002672 s: Module.Mon_Module_equivalence_Algebra.functor._proof_4 0.002489 s: Module.Mon_Module_equivalence_Algebra.functor._proof_5 0.054783 s: Module.Mon_Module_equivalence_Algebra.functor._proof_6 0.080879 s: Module.Mon_Module_equivalence_Algebra.functor._proof_7 0.098829 s: Module.Mon_Module_equivalence_Algebra.functor 0.011438 s: Algebra.category_theory.concrete_category._proof_1 0.003340 s: Algebra.category_theory.concrete_category._proof_2 0.010884 s: Algebra.category_theory.concrete_category._proof_3 0.005215 s: Algebra.category_theory.concrete_category 0.037447 s: Algebra.has_forget_to_Module._proof_1 0.057994 s: Algebra.has_forget_to_Module._proof_2 0.149598 s: Algebra.has_forget_to_Module._proof_3 0.091747 s: Algebra.has_forget_to_Module 0.078446 s: Module.Mon_Module_equivalence_Algebra_forget._proof_7 0.000411 s: isometric.trans._proof_1 0.000279 s: isometric.trans._proof_2 0.000484 s: isometry.comp 0.009633 s: isometric.trans._proof_3 0.001395 s: isometric.trans 0.005733 s: dist_vsub_cancel_left 0.001090 s: isometric.const_vsub._proof_1 0.000295 s: isometric.const_vsub 0.001002 s: isometric.vadd_const._proof_1 0.000291 s: isometric.vadd_const 0.000234 s: isometric.point_reflection 0.000172 s: equiv.point_reflection 0.000320 s: equiv.point_reflection.equations._eqn_1 0.000751 s: equiv.coe_vadd_const_symm 0.000462 s: equiv.coe_vadd_const 0.000467 s: equiv.coe_const_vsub 0.004257 s: equiv.point_reflection_symm 0.000605 s: equiv.point_reflection_involutive 0.001351 s: isometric.point_reflection_involutive 0.000047 s: equiv.of_left_inverse'._proof_1 0.000252 s: equiv.of_left_inverse' 0.000697 s: ordinal.succ_zero 0.005897 s: ordinal.mul_le_mul_right 0.002345 s: ordinal.pos_iff_ne_zero 0.001776 s: ordinal.div_aux 0.000297 s: ordinal.div 0.000050 s: ordinal.has_div 0.000097 s: ordinal.has_mod 0.000177 s: dmatrix.map 0.000480 s: tangent_bundle 0.016594 s: basic_smooth_bundle_core 0.000386 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._proof_1 0.000217 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._proof_2 0.003156 s: basic_smooth_bundle_core.coord_change 0.003711 s: basic_smooth_bundle_core.coord_change_self 0.004312 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._proof_3 0.004652 s: basic_smooth_bundle_core.coord_change_smooth 0.016887 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._proof_4 0.008561 s: basic_smooth_bundle_core.coord_change_comp 0.016172 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._match_1 0.002887 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._proof_5 0.004277 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core 0.002874 s: fderiv_id 0.002586 s: fderiv_within_id 0.000973 s: model_with_corners.unique_diff_at_image 0.014163 s: tangent_bundle_core._proof_1 0.020750 s: local_homeomorph.trans_source 0.005982 s: model_with_corners.unique_diff_preimage 0.001683 s: model_with_corners.unique_diff_preimage_source 0.005438 s: fderiv_within.comp 0.085694 s: tangent_bundle_core._proof_2 0.055208 s: times_cont_diff_on.fderiv_within 0.029357 s: times_cont_diff_on_fderiv_within_apply 0.047372 s: tangent_bundle_core._proof_3 0.009528 s: tangent_bundle_core 0.002711 s: tangent_bundle.topological_space 0.002332 s: basic_smooth_bundle_core.chart 0.002571 s: basic_smooth_bundle_core.to_charted_space._proof_1 0.004508 s: basic_smooth_bundle_core.chart.equations._eqn_1 0.002964 s: topological_fiber_bundle_core.mem_local_triv_source 0.005066 s: basic_smooth_bundle_core.base_set 0.001430 s: topological_fiber_bundle_core.local_triv_apply 0.015275 s: basic_smooth_bundle_core.chart_source 0.010976 s: basic_smooth_bundle_core.to_charted_space._proof_2 0.004635 s: basic_smooth_bundle_core.to_charted_space._proof_3 0.004477 s: basic_smooth_bundle_core.to_charted_space 0.002490 s: tangent_bundle.charted_space 0.004084 s: local_homeomorph.prod_apply 0.006764 s: tangent_bundle_core.equations._eqn_1 0.008929 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core.equations._eqn_1 0.000837 s: equiv.sigma_equiv_prod_symm_apply 0.070075 s: tangent_bundle_model_space_chart_at 0.000969 s: local_equiv.to_fun_as_coe 0.000644 s: equiv.to_local_equiv_coe 0.016885 s: tangent_bundle_model_space_coe_chart_at 0.000670 s: ordnode.all._main 0.000037 s: ordnode.all 0.001527 s: ordnode.pmap._main 0.000064 s: ordnode.pmap 0.000073 s: ordnode.attach' 0.000199 s: ordnode.attach'.equations._eqn_1 0.001086 s: turing.to_partrec.cont 0.000373 s: turing.to_partrec.cont.cases_on 0.000204 s: turing.to_partrec.cont.no_confusion_type 0.000937 s: turing.to_partrec.cont.no_confusion 0.000322 s: turing.to_partrec.cont.comp.inj 0.015361 s: complete_distrib_lattice.copy._proof_11 0.000304 s: fp.float_cfg 0.000043 s: fp.float_cfg.emax 0.000074 s: fp.emin 0.000039 s: fp.float_cfg.prec 0.000013 s: fp.prec 0.000012 s: fp.emax 0.000117 s: fp.valid_finite 0.000412 s: fp.float 0.000132 s: fp.float.cases_on 0.000086 s: fp.float.neg._main 0.000018 s: fp.float.neg 0.000053 s: fp.float.has_neg 0.000058 s: fp.float.has_neg.equations._eqn_1 0.000053 s: tactic.suggest.head_symbol_match.cases_on 0.001401 s: tactic.suggest.head_symbol_match.to_string._main 0.000230 s: tactic.suggest.head_symbol_match.to_string._main.equations._eqn_3 0.005045 s: add_group_with_zero_nhd 0.000179 s: topological_space.mk_of_nhds._proof_1 0.000865 s: topological_space.mk_of_nhds._match_1 0.000348 s: topological_space.mk_of_nhds._proof_2 0.001305 s: topological_space.mk_of_nhds._match_2 0.000224 s: topological_space.mk_of_nhds._proof_3 0.000460 s: topological_space.mk_of_nhds 0.000443 s: add_group_with_zero_nhd.to_add_comm_group 0.000207 s: add_group_with_zero_nhd.Z 0.000130 s: add_group_with_zero_nhd.topological_space 0.000307 s: add_group_with_zero_nhd.topological_space.equations._eqn_1 0.001277 s: int.mod_add_div' 0.003420 s: int.mul_mod 0.000362 s: int.to_nat_coe_nat 0.004677 s: nat.exists_mul_mod_eq_gcd 0.000296 s: comm_semigroup.to_is_commutative.equations._eqn_1 0.208806 s: mv_power_series.comm_ring.equations._eqn_1 0.000195 s: num.bit0._main.equations._eqn_2 0.000026 s: cont_t 0.014018 s: cont_t.monad 0.085529 s: real.has_deriv_at_sinh 0.011506 s: category_theory.well_powered.subobject_small 0.000092 s: category_theory.small_subobject 0.002856 s: category_theory.subobject.wide_cospan 0.003126 s: category_theory.limits.wide_pullback_shape.mk_cone._match_1 0.010610 s: category_theory.limits.wide_pullback_shape.mk_cone._proof_1 0.004238 s: category_theory.limits.wide_pullback_shape.mk_cone 0.003767 s: category_theory.subobject.le_Inf_cone._proof_1 0.091878 s: category_theory.subobject.le_Inf_cone._proof_2 0.022560 s: category_theory.subobject.le_Inf_cone 0.011659 s: category_theory.subobject.le_Inf_cone.equations._eqn_1 0.000302 s: rack.pre_envel_group.no_confusion_type 0.000614 s: rack.pre_envel_group.no_confusion 0.000188 s: rack.pre_envel_group.inv.inj 0.000079 s: rack.pre_envel_group.inv.inj_arrow 0.000055 s: ordered_semiring.lt._default 0.000089 s: ordered_semiring.lt._default.equations._eqn_1 0.001104 s: matrix.mul_vec._main.equations._eqn_1 0.000284 s: matrix.mul_vec.equations._eqn_1 0.000308 s: matrix.zero_dot_product' 0.009459 s: matrix.mul_vec.is_add_monoid_hom_left 0.000159 s: turing.partrec_to_TM2.nat_end._main.equations._eqn_3 0.000642 s: add_subgroup.prod._proof_1 0.001759 s: add_subgroup.prod._proof_2 0.005232 s: add_subgroup.prod._proof_3 0.002887 s: add_subgroup.prod 0.000543 s: subring.prod._proof_5 0.000126 s: computable.of_nat 0.000163 s: matrix.has_neg 0.000426 s: lie_algebra.orthogonal.PD 0.000711 s: lie_algebra.orthogonal.PD.equations._eqn_1 0.000223 s: CommRing.colimits.prequotient.zero.inj 0.000258 s: CommRing.colimits.prequotient.zero.inj_eq 0.010393 s: lie_equiv.symm_trans_apply 0.050884 s: emetric.diam_closed_ball 0.000027 s: pgame.neg 0.000041 s: pgame.has_neg 0.000341 s: pgame.impartial_aux._main._pack 0.000017 s: pgame.impartial_aux._main 0.000028 s: pgame.impartial_aux 0.000814 s: pgame.impartial 0.000163 s: pgame.impartial.out 0.000058 s: pgame.impartial_iff_aux 0.000837 s: category_theory.triangulated.triangle_rotation_functor 0.000125 s: tactic.new_goals 0.000210 s: tactic.apply_cfg 0.000069 s: tactic.apply_cfg.opt_param 0.013624 s: direct_sum.ghas_one.of_add_subgroups 0.001030 s: ring_hom.ker_lift._proof_1 0.000502 s: ring_hom.ker_lift 0.021610 s: ring_hom.ker_lift_injective 0.003114 s: ring_hom.ker_lift_mk 0.017137 s: ring_hom.quotient_ker_equiv_of_right_inverse._proof_1 0.000457 s: list.intersperse._main 0.000048 s: list.intersperse 0.000604 s: list.intersperse._main.equations._eqn_3 0.000133 s: list.intersperse.equations._eqn_3 0.000111 s: category_theory.has_shift.rec_on 0.000028 s: or_of_or_of_imp_left 0.004461 s: turing.TM2.supports_stmt._main 0.000153 s: turing.TM2.supports_stmt 0.003173 s: turing.TM2.supports_stmt._main.equations._eqn_2 0.000370 s: turing.TM2.supports_stmt.equations._eqn_2 0.000298 s: mv_polynomial.join₂ 0.000558 s: mv_polynomial.join₂.equations._eqn_1 0.000632 s: mv_polynomial.bind₂.equations._eqn_1 0.003021 s: mv_polynomial.join₂_map 0.002830 s: mv_polynomial.join₂_comp_map 0.000441 s: category_theory.essentially_small 0.000147 s: category_theory.skeleton 0.000168 s: category_theory.essentially_small.dcases_on 0.000176 s: category_theory.skeleton.category 0.000265 s: category_theory.from_skeleton 0.000240 s: category_theory.from_skeleton.full 0.000178 s: category_theory.from_skeleton.faithful 0.001756 s: category_theory.from_skeleton.ess_surj 0.000835 s: category_theory.from_skeleton.is_equivalence 0.002125 s: category_theory.skeleton_skeletal 0.007022 s: category_theory.equivalence.skeleton_equiv._proof_1 0.003393 s: category_theory.equivalence.skeleton_equiv._proof_2 0.002044 s: category_theory.equivalence.skeleton_equiv 0.000370 s: category_theory.essentially_small.equiv_small_category 0.000123 s: category_theory.small_model 0.000162 s: category_theory.small_category_small_model._proof_1 0.000426 s: category_theory.small_category_small_model 0.000833 s: category_theory.locally_small.dcases_on 0.000232 s: small.dcases_on 0.000097 s: small.mk' 0.000829 s: small_congr 0.001360 s: category_theory.equiv_of_fully_faithful._proof_1 0.001300 s: category_theory.equiv_of_fully_faithful._proof_2 0.001036 s: category_theory.equiv_of_fully_faithful 0.001859 s: category_theory.locally_small_congr 0.000668 s: category_theory.equiv_small_model._proof_1 0.000540 s: category_theory.equiv_small_model 0.000068 s: small_self 0.000205 s: category_theory.locally_small_self 0.000213 s: category_theory.locally_small_of_essentially_small 0.000547 s: category_theory.equivalence.induced_functor_of_equiv._proof_1 0.000742 s: category_theory.induced_functor_obj 0.000209 s: category_theory.iso.inhabited 0.002291 s: category_theory.equivalence.ess_surj_induced_functor 0.000663 s: category_theory.equivalence.induced_functor_of_equiv 0.001913 s: category_theory.essentially_small_iff 0.000081 s: small_max 0.000296 s: small_of_fintype 0.000184 s: category_theory.locally_small_of_thin 0.000645 s: category_theory.essentially_small_iff_of_thin 0.010765 s: nonneg_of_mul_nonpos_left 0.008155 s: padic_int.char_zero 0.000282 s: nonunits.equations._eqn_1 0.002332 s: padic_int.mem_nonunits 0.002839 s: padic_int.norm_lt_one_add 0.026100 s: padic_int.local_ring 0.078037 s: padic_seq.valuation 0.080444 s: padic_seq.valuation.equations._eqn_1 0.088340 s: padic_seq.norm_eq_pow_val 0.027659 s: one_lt_pow 0.085092 s: one_lt_fpow 0.643342 s: fpow_strict_mono 0.001457 s: fpow_neg_one 0.048889 s: fpow_mul 0.059039 s: fpow_injective 0.004486 s: fpow_inj 0.153514 s: padic_seq.val_eq_iff_norm_eq 0.094257 s: padic.valuation._proof_1 0.126266 s: padic.valuation 0.000172 s: padic_int.valuation 0.047185 s: ring_hom.map_fpow 0.003505 s: rat.cast_fpow 0.370360 s: padic.norm_eq_pow_val 0.039742 s: padic_int.norm_eq_pow_val 0.007640 s: nat.pow_lt_pow_of_lt_right 0.000370 s: nat.pow_right_strict_mono 0.153018 s: padic.valuation_zero 0.001773 s: padic_int.valuation_zero 0.186329 s: padic_int.valuation_nonneg 0.146561 s: padic_int.norm_le_pow_iff_le_valuation 0.002072 s: mul_fpow 0.019723 s: inv_fpow 0.005065 s: div_fpow 0.004978 s: one_fpow 0.132320 s: padic_norm_e.norm_p_pow 0.030252 s: padic_int.norm_p_pow 0.095088 s: padic_int.valuation_p_pow_mul 0.000141 s: padic_int.mk_units._proof_1 0.015742 s: padic_int.mk_units 0.087982 s: nat.fpow_pos_of_pos 0.007344 s: nat.fpow_ne_zero_of_pos 0.064054 s: padic_int.unit_coeff._proof_1 0.013106 s: padic_int.unit_coeff 0.010314 s: padic_int.unit_coeff_coe 0.001870 s: padic.coe_zero 0.043814 s: padic_int.unit_coeff_spec 0.006025 s: units.dvd_mul_left 0.000449 s: is_unit.dvd_mul_left 0.029409 s: padic_int.mem_span_pow_iff_le_valuation 0.177969 s: padic_int.norm_le_pow_iff_mem_span_pow 0.183808 s: padic_int.norm_le_pow_iff_norm_lt_pow_add_one 0.036463 s: padic_int.norm_lt_one_iff_dvd 0.004941 s: padic_int.norm_p 0.035060 s: padic_int.p_nonnunit 0.025356 s: padic_int.maximal_ideal_eq_span_p 0.333728 s: padic.rat_dense 0.000117 s: padic_int.mod_part 0.027555 s: padic_int.mod_part_nonneg 0.003875 s: padic_int.mod_part_lt_p 0.000595 s: int.modeq.modeq_zero_iff 0.002351 s: zmod.int_coe_zmod_eq_zero_iff_dvd 0.000059 s: int.modeq.mod_modeq 0.000710 s: zmod.int_cast_mod 0.000102 s: nat.prime.dvd_iff_not_coprime 0.000097 s: nat.coprime_or_dvd_of_prime 0.039240 s: padic_int.norm_sub_mod_part_aux 0.219013 s: padic_int.norm_sub_mod_part 0.022925 s: padic_int.exists_mem_range_of_norm_rat_le_one 0.179830 s: padic_int.exists_mem_range 0.000545 s: padic_int.zmod_repr 0.018956 s: padic_int.zmod_repr_spec 0.001389 s: padic_int.sub_zmod_repr_mem 0.003199 s: padic_int.to_zmod._proof_1 0.020848 s: rat.cast_pow 0.002673 s: fpow_le_iff_le 0.163941 s: padic_norm.dvd_iff_norm_le 0.182670 s: padic_norm_e.norm_int_le_pow_iff_dvd 0.022736 s: padic_int.norm_int_le_pow_iff_dvd 0.012501 s: padic_int.pow_p_dvd_int_iff 0.056088 s: padic_int.zmod_congr_of_sub_mem_span_aux 0.043851 s: padic_int.zmod_congr_of_sub_mem_max_ideal 0.058445 s: padic_int.to_zmod._proof_2 0.032528 s: padic_int.to_zmod 0.000581 s: padic_int.zmod_repr_lt_p 0.025127 s: padic_int.to_zmod_spec 0.077127 s: padic_int.ker_to_zmod 0.000118 s: add_con.inhabited 0.012432 s: category_theory.limits.id_preserves_limits._proof_1 0.029252 s: category_theory.limits.id_preserves_limits._proof_2 0.038723 s: category_theory.limits.id_preserves_limits._proof_3 0.016838 s: category_theory.limits.id_preserves_limits 0.062491 s: function.injective.integral_domain._proof_8 0.000078 s: string.has_to_string 0.000067 s: char.le 0.000021 s: char.has_le 0.000149 s: char.decidable_le 0.000132 s: nat.bin_cast 0.011398 s: parser.numeral.char.of_fintype 0.004802 s: parser.bounded.bind 0.000449 s: parser.bounded.map 0.000259 s: parser.sat.equations._eqn_1 0.001800 s: parser.bounded.sat 0.000965 s: parser.numeral.char.of_fintype.bounded 0.000132 s: function.is_periodic_pt 0.000071 s: function.is_periodic_pt.equations._eqn_1 0.001441 s: function.iterate_mul 0.000143 s: function.is_fixed_pt.iterate 0.000077 s: function.is_periodic_pt.is_fixed_pt 0.000386 s: function.is_periodic_pt.mul_const 0.000288 s: function.is_periodic_pt.trans_dvd 0.003590 s: lie_module_equiv.to_equiv 0.001774 s: lie_module_equiv.has_coe_to_equiv 0.003322 s: lie_module_equiv.has_coe_to_equiv.equations._eqn_1 0.003471 s: submodule.to_sub_mul_action_strict_mono 0.004484 s: filter.has_mul._proof_1 0.002277 s: filter.has_mul._proof_2 0.000711 s: set.mul_subset_mul 0.005504 s: filter.has_mul._proof_3 0.000765 s: filter.has_mul 0.001019 s: filter.mul_mem_mul 0.005492 s: filter.mul_assoc 0.000307 s: filter.germ.linear_ordered_comm_ring._proof_3 0.001758 s: times_cont_mdiff_at.of_le 0.001231 s: times_cont_mdiff.of_le 0.000193 s: charted_space.lift_prop 0.006919 s: structure_groupoid.local_invariant_prop.lift_prop_id 0.005033 s: times_cont_diff_within_at_local_invariant_prop_id 0.007470 s: times_cont_mdiff_id 0.002477 s: times_cont_mdiff_at_id 0.001789 s: times_cont_mdiff_within_at_id 0.000738 s: smooth_within_at_id 0.008539 s: measure_theory.mem_ℒp.to_Lp_zero 0.001773 s: filter.germ.group._proof_6 0.000040 s: language 0.000632 s: regular_expression.below 0.002909 s: regular_expression.brec_on 0.000446 s: regular_expression.cases_on 0.000128 s: language.has_zero 0.000090 s: language.has_singleton 0.000124 s: language.has_one 0.000075 s: language.has_add 0.000093 s: language.has_mul 0.000158 s: language.has_mem 0.000243 s: language.star 0.001437 s: regular_expression.matches._main 0.000039 s: regular_expression.matches 0.000022 s: regular_expression.has_mul 0.001727 s: regular_expression.matches_mul_def 0.001601 s: submonoid.subsingleton_iff 0.000114 s: submonoid.unique._proof_1 0.000105 s: submonoid.unique 0.000353 s: le_infi_comp 0.000193 s: preconnected_space.drec 0.063809 s: convex_on.le_on_segment' 0.045743 s: convex_on.le_on_segment 0.000146 s: order_dual.linear_ordered_add_comm_group._proof_1 0.000168 s: order_dual.linear_ordered_add_comm_group._proof_2 0.000064 s: order_dual.linear_ordered_add_comm_group._proof_3 0.004421 s: order_dual.linear_ordered_add_comm_group._proof_4 0.002423 s: order_dual.linear_ordered_add_comm_group._proof_5 0.003975 s: order_dual.linear_ordered_add_comm_group._proof_6 0.000697 s: order_dual.linear_ordered_add_comm_group._proof_7 0.000189 s: order_dual.linear_ordered_add_comm_group._proof_8 0.000144 s: order_dual.linear_ordered_add_comm_group._proof_9 0.000155 s: order_dual.linear_ordered_add_comm_group._proof_10 0.001765 s: order_dual.linear_ordered_add_comm_group._proof_11 0.000305 s: order_dual.linear_ordered_add_comm_group._proof_12 0.000389 s: order_dual.linear_ordered_add_comm_group._proof_13 0.003535 s: order_dual.linear_ordered_add_comm_group._proof_14 0.018813 s: order_dual.linear_ordered_add_comm_group 1.787211 s: concave_on.le_on_segment 0.000317 s: category_theory.mono_over.has_bot._proof_1 0.000173 s: category_theory.mono_over.has_bot 0.000097 s: category_theory.subobject.order_bot._proof_1 0.000116 s: category_theory.subobject.order_bot._proof_2 0.001951 s: category_theory.subobject.order_bot._proof_3 0.000647 s: category_theory.subobject.order_bot._proof_4 0.007219 s: category_theory.mono_over.bot_arrow 0.010814 s: category_theory.mono_over.bot_le._proof_1 0.003234 s: category_theory.mono_over.bot_le 0.001417 s: category_theory.subobject.order_bot._proof_5 0.001476 s: category_theory.subobject.order_bot 0.000140 s: category_theory.subobject.semilattice_sup_bot._proof_1 0.000224 s: category_theory.subobject.semilattice_sup_bot._proof_2 0.000534 s: category_theory.subobject.semilattice_sup_bot._proof_3 0.000346 s: category_theory.subobject.semilattice_sup_bot._proof_4 0.000327 s: category_theory.subobject.semilattice_sup_bot._proof_5 0.000431 s: category_theory.subobject.semilattice_sup_bot._proof_6 0.000329 s: category_theory.subobject.semilattice_sup_bot._proof_7 0.000362 s: category_theory.subobject.semilattice_sup_bot._proof_8 0.005275 s: category_theory.subobject.semilattice_sup_bot 0.004106 s: category_theory.subobject.semilattice_sup_bot.equations._eqn_1 0.009431 s: category_theory.lax_monoidal 0.003057 s: category_theory.functorial.map_comp' 0.002605 s: category_theory.lax_monoidal.ε 0.002248 s: category_theory.lax_monoidal.μ 0.003233 s: category_theory.lax_monoidal.μ_natural' 0.005765 s: category_theory.lax_monoidal.associativity' 0.003471 s: category_theory.lax_monoidal.left_unitality' 0.002817 s: category_theory.lax_monoidal.right_unitality' 0.007014 s: category_theory.lax_monoidal_functor.of 0.002789 s: category_theory.lax_monoidal_functor.of_ε 0.598309 s: category_theory.functor.map_presheaf._proof_2 0.012165 s: wseq.dropn_add 0.003895 s: category_theory.limits.is_colimit.no_confusion_type 0.003673 s: category_theory.limits.is_colimit.no_confusion 0.013878 s: category_theory.limits.is_colimit.mk.inj 0.011897 s: category_theory.limits.is_colimit.mk.inj_arrow 0.000444 s: language.one_def 0.000257 s: language.mul_def 0.003183 s: language.semiring._proof_13 0.000618 s: order_dual.complete_distrib_lattice._proof_5 0.000288 s: prod.bounded_lattice._proof_1 0.000286 s: prod.bounded_lattice._proof_2 0.000731 s: prod.bounded_lattice._proof_3 0.000795 s: prod.bounded_lattice._proof_5 0.000557 s: prod.bounded_lattice._proof_6 0.000719 s: prod.bounded_lattice._proof_7 0.000626 s: prod.bounded_lattice._proof_8 0.000625 s: prod.bounded_lattice._proof_9 0.000781 s: prod.bounded_lattice._proof_10 0.000240 s: prod.has_top 0.000153 s: prod.order_top._proof_1 0.000188 s: prod.order_top._proof_2 0.000480 s: prod.order_top._proof_3 0.000411 s: prod.order_top._proof_4 0.000907 s: prod.order_top._proof_5 0.001352 s: prod.order_top 0.000541 s: prod.bounded_lattice._proof_11 0.000068 s: prod.has_bot 0.000098 s: prod.order_bot._proof_1 0.000127 s: prod.order_bot._proof_2 0.000230 s: prod.order_bot._proof_3 0.000253 s: prod.order_bot._proof_4 0.000514 s: prod.order_bot._proof_5 0.001015 s: prod.order_bot 0.000408 s: prod.bounded_lattice._proof_12 0.018237 s: prod.bounded_lattice 0.000732 s: prod.complete_lattice._proof_9 0.000112 s: turing.fin_tm2.stmt 0.000124 s: turing.TM2.stmt.inhabited 0.000632 s: turing.fin_tm2.stmt.inhabited 0.007149 s: quaternion_algebra.coe_add 0.037258 s: quaternion_algebra.self_add_conj' 0.034582 s: quaternion_algebra.conj_add_self' 0.035127 s: quaternion_algebra.conj_eq_two_re_sub 0.001631 s: quaternion_algebra.coe_commutes 0.000284 s: quaternion_algebra.coe_commute 0.034674 s: quaternion_algebra.commute_conj_self 0.022774 s: quaternion.commute_conj_self 0.000176 s: add_hom.has_zero._proof_1 0.001167 s: tprod.measurable_space._sunfold 0.000083 s: onote.below 0.000414 s: onote.brec_on 0.000062 s: onote.cases_on 0.001919 s: onote.repr._main 0.000017 s: onote.repr 0.001164 s: onote.NF_below 0.000119 s: onote.NF 0.000079 s: onote.preorder._proof_1 0.000067 s: onote.preorder._proof_2 0.000094 s: onote.preorder._proof_3 0.006001 s: onote.preorder 0.000018 s: ordering.or_else 0.000885 s: onote.cmp._main 0.000034 s: onote.cmp 0.001554 s: ordinal.add_sub_cancel 0.000806 s: ordinal.sub_zero 0.000686 s: ordinal.limit_rec_on.equations._eqn_1 0.001469 s: ordinal.limit_rec_on_zero 0.001633 s: ordinal.power_zero 0.002560 s: ordinal.card_eq_zero 0.000194 s: ordinal.type_ne_zero_iff_nonempty 0.000162 s: ordinal.one_ne_zero 0.000311 s: ordinal.zero_lt_one 0.000155 s: ordinal.one_le_iff_pos 0.000353 s: ordinal.one_le_iff_ne_zero 0.000336 s: ordinal.zero_power 0.001937 s: ordinal.succ_pos 0.000545 s: ordinal.succ_ne_zero 0.000121 s: ordinal.type_eq_zero_iff_empty 0.001045 s: ordinal.mul_zero 0.002781 s: ordinal.limit_rec_on_succ 0.001760 s: ordinal.power_succ 0.000159 s: ordinal.is_normal 0.005991 s: ordinal.is_normal.lt_iff 0.000986 s: equiv.sum_prod_distrib_apply_left 0.000398 s: equiv.sum_prod_distrib_apply_right 0.011968 s: ordinal.mul_add 0.001340 s: ordinal.mul_add_one 0.000107 s: ordinal.mul_succ 0.001428 s: ordinal.add_lt_add_iff_left 0.005400 s: ordinal.mul_le_mul_left 0.000830 s: subrel_val 0.084347 s: _private.3369070315.mul_le_of_limit_aux 0.004032 s: ordinal.mul_le_of_limit 0.002509 s: ordinal.mul_is_normal 0.000089 s: ordinal.mul_lt_mul_iff_left 0.000066 s: ordinal.mul_lt_mul_of_pos_left 0.000252 s: ordinal.mul_pos 0.001189 s: ordinal.not_succ_is_limit 0.000141 s: ordinal.not_succ_of_is_limit 0.001489 s: ordinal.limit_rec_on_limit 0.001658 s: ordinal.power_limit 0.001129 s: ordinal.bsup._match_1.equations._eqn_1 0.000201 s: ordinal.le_sup 0.001320 s: ordinal.sup_le 0.002686 s: ordinal.bsup_le 0.000480 s: ordinal.power_le_of_limit 0.001730 s: ordinal.lt_power_of_limit 0.000646 s: ordinal.power_pos 0.002555 s: onote.repr._main.equations._eqn_2 0.000158 s: onote.repr.equations._eqn_2 0.001921 s: ordinal.is_normal.le_iff 0.000104 s: ordinal.mul_le_mul_iff_left 0.002863 s: onote.omega_le_oadd 0.001864 s: onote.oadd_pos 0.000677 s: onote.cmp._main.equations._eqn_4 0.000105 s: onote.cmp.equations._eqn_4 0.000633 s: onote.NF_below.drec 0.002215 s: ordinal.power_is_normal 0.000105 s: ordinal.power_le_power_iff_right 0.001742 s: ordinal.one_power 0.001774 s: ordinal.power_le_power_right 0.003597 s: onote.NF_below.repr_lt 0.000103 s: onote.NF.dcases_on 0.000499 s: onote.NF_below.dcases_on 0.000158 s: onote.no_confusion_type 0.000471 s: onote.no_confusion 0.002166 s: onote.NF.below_of_lt 0.004425 s: onote.oadd_lt_oadd_1 0.000267 s: cmp.equations._eqn_1 0.000443 s: onote.lt_def 0.001633 s: onote.NF_below.snd 0.000128 s: onote.NF.snd' 0.004506 s: ordinal.nat_cast_lt 0.003090 s: onote.oadd_lt_oadd_2 0.000158 s: cmp_using.equations._eqn_1 0.001313 s: ordering.ite_eq_lt_distrib 0.000732 s: if_false_left_eq_and 0.001123 s: cmp_using_eq_lt 0.000747 s: onote.oadd_lt_oadd_3 0.000127 s: onote.NF.snd 0.000232 s: eq_of_incomp 0.000754 s: ordering.ite_eq_eq_distrib 0.000870 s: cmp_using_eq_eq 0.000715 s: ordering.ite_eq_gt_distrib 0.000795 s: cmp_using_eq_gt 0.000875 s: onote.NF_below.fst 0.000103 s: onote.NF.fst 0.010566 s: onote.cmp_compares 0.000056 s: ordnode.raised 0.000077 s: ordnode.raised.equations._eqn_1 0.000196 s: nat.divisors_antidiagonal 0.000127 s: nat.divisors_antidiagonal.equations._eqn_1 0.000391 s: nat.lt_add_one_iff 0.009084 s: nat.le_mul_of_pos_right 0.008536 s: nat.le_mul_of_pos_left 0.036119 s: nat.mem_divisors_antidiagonal 0.000133 s: mvpfunctor.rec_on 0.000143 s: vector3.nth 0.000128 s: vector3.nth.equations._eqn_1 0.000139 s: AddMon.of 0.020752 s: AddMon.has_limits.limit_cone._proof_1 0.002995 s: AddMon.has_limits.limit_cone 0.034737 s: AddMon.has_limits.limit_cone_is_limit._proof_4 0.020526 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_5 0.001366 s: set.is_wf_univ_iff 0.000151 s: well_founded.is_wf 0.000936 s: hahn_series.to_power_series._proof_1 0.001930 s: hahn_series.to_power_series._proof_2 0.001569 s: hahn_series.to_power_series._proof_3 0.016742 s: hahn_series.to_power_series._proof_4 0.005389 s: hahn_series.to_power_series._proof_5 0.007551 s: hahn_series.to_power_series 0.007674 s: hahn_series.to_power_series_alg._proof_1 0.000652 s: znum.decidable_le._main.equations._eqn_1 0.000214 s: znum.decidable_le.equations._eqn_1 0.000789 s: metric.nonempty_ball 0.000036 s: joined 0.000360 s: path.refl._proof_1 0.000141 s: path.refl 0.000080 s: joined.refl 0.054694 s: unit_interval.mem_iff_one_sub_mem 0.000592 s: unit_interval.symm._proof_1 0.000217 s: unit_interval.symm 0.000791 s: path.continuous' 0.000671 s: path.continuous 0.012232 s: unit_interval.continuous_symm 0.000508 s: path.symm._proof_1 0.000237 s: unit_interval.symm.equations._eqn_1 0.000479 s: unit_interval.coe_zero 0.000302 s: unit_interval.coe_one 0.004977 s: unit_interval.symm_zero 0.000410 s: path.target' 0.000254 s: path.target 0.000947 s: path.symm._proof_2 0.002936 s: unit_interval.symm_one 0.000415 s: path.source' 0.000301 s: path.source 0.001003 s: path.symm._proof_3 0.000308 s: path.symm 0.000075 s: joined.some_path 0.000173 s: joined.symm 0.008813 s: path.extend 0.008856 s: path.continuous_extend 0.002338 s: set.Icc_extend_of_right_le 0.000883 s: set.Icc_extend_right 0.009263 s: path.extend_one 0.001959 s: set.Icc_extend_of_le_left 0.001289 s: set.Icc_extend_left 0.010033 s: path.extend_zero 0.062746 s: path.trans._proof_1 0.111136 s: path.trans._proof_2 0.102208 s: path.trans._proof_3 0.010551 s: path.trans 0.000221 s: joined.trans 0.000238 s: path_setoid._proof_1 0.006562 s: Mon_.cases_on 0.003097 s: Mon_.no_confusion_type 0.001692 s: Mon_.no_confusion 0.042060 s: mv_polynomial.algebra.equations._eqn_1 0.000438 s: equiv.map 0.009613 s: lazy_list.list_equiv_lazy_list._proof_1 0.000230 s: lazy_list.no_confusion_type 0.000662 s: lazy_list.no_confusion 0.000541 s: lazy_list.cons.inj 0.001048 s: lazy_list.cons.inj_eq 0.005455 s: lazy_list.list_equiv_lazy_list._proof_2 0.000177 s: lazy_list.list_equiv_lazy_list 0.000468 s: equiv.map.equations._eqn_1 0.009664 s: lazy_list.is_lawful_traversable._proof_1 0.000151 s: bounded 0.000547 s: well_founded.sup 0.000615 s: well_founded.lt_sup 0.040031 s: category_theory.functor.map_differential_object._proof_1 0.038328 s: category_theory.functor.map_differential_object._proof_2 0.040910 s: category_theory.functor.map_differential_object._proof_3 0.001387 s: category_theory.differential_object.id_f 0.106820 s: category_theory.functor.map_differential_object._proof_5 0.007936 s: category_theory.differential_object.comp_f 0.218728 s: category_theory.functor.map_differential_object._proof_6 0.051877 s: category_theory.functor.map_differential_object 0.011658 s: category_theory.functor.map_differential_object_obj_X 0.003915 s: linear_ordered_add_comm_monoid_with_top.sizeof 0.012157 s: linear_ordered_add_comm_monoid_with_top.mk.sizeof_spec 0.001994 s: holor.add_comm_monoid._proof_1 0.000936 s: holor.add_comm_monoid._proof_2 0.000759 s: holor.add_comm_monoid._proof_3 0.004952 s: holor.add_comm_monoid._proof_4 0.003840 s: holor.add_comm_monoid._proof_5 0.003899 s: holor.add_comm_monoid._proof_6 0.001048 s: holor.add_comm_monoid 0.000344 s: holor.unit_vec 0.000159 s: holor.slice._proof_1 0.000313 s: holor.slice 0.002949 s: list.forall₂_nil_left_iff 0.001763 s: holor.holor_index_cons_decomp 0.001310 s: holor.slice_eq 0.000241 s: holor.slice_zero 0.000198 s: holor.slice.equations._eqn_1 0.002495 s: holor.slice_add 0.002927 s: holor.slice_sum 0.000183 s: holor_index.drop._main._proof_1 0.000736 s: list.drop_one 0.000666 s: holor.unit_vec.equations._eqn_1 0.000308 s: holor.mul.equations._eqn_1 0.000542 s: holor_index.take._main._proof_1 0.001330 s: holor_index.take._main.equations._eqn_1 0.000286 s: holor_index.take.equations._eqn_1 0.000429 s: holor_index.drop._main.equations._eqn_1 0.000214 s: holor_index.drop.equations._eqn_1 0.016773 s: holor.slice_unit_vec_mul 0.012024 s: holor.sum_unit_vec_mul_slice 0.000107 s: set.ord_connected.inter' 0.000128 s: has_seq_left.cases_on 0.000074 s: has_seq_left.no_confusion_type 0.000283 s: has_seq_left.no_confusion 0.001672 s: complex.of_real_cosh_of_real_re 0.000090 s: complex.of_real_cosh 0.006745 s: complex.cosh_two_mul 0.000083 s: complex.of_real_sinh 0.028504 s: real.cosh_two_mul 0.008766 s: ordinal.monoid.equations._eqn_1 0.000857 s: submodule.inhabited.equations._eqn_1 0.002086 s: monoid_hom.prod._proof_1 0.000981 s: monoid_hom.prod 0.000408 s: prod.mk_eq_one 0.000853 s: monoid_hom.coe_fst 0.002657 s: units.map.equations._eqn_1 0.001091 s: monoid_hom.prod_apply 0.025786 s: mul_equiv.prod_units._match_1 0.010408 s: mul_equiv.prod_units._proof_4 0.000182 s: cardinal.power.equations._eqn_1 0.000066 s: is_left_regular 0.000259 s: is_left_regular.subsingleton 0.000170 s: is_left_regular_zero_iff_subsingleton 0.001150 s: not_is_left_regular_zero_iff 0.036430 s: nnreal.geom_mean_le_arith_mean3_weighted 0.012320 s: real.geom_mean_le_arith_mean3_weighted 0.001096 s: nat.arithmetic_function.add_monoid._proof_1 0.000594 s: nat.arithmetic_function.add_monoid._proof_2 0.000343 s: nat.arithmetic_function.add_monoid._proof_3 0.000303 s: nat.arithmetic_function.add_monoid._proof_4 0.000287 s: nat.arithmetic_function.add_monoid._proof_5 0.001764 s: nat.arithmetic_function.add_monoid._proof_7 0.003146 s: nat.arithmetic_function.add_monoid 0.000253 s: nat.arithmetic_function.add_comm_monoid._proof_2 0.001513 s: urysohns.CU 0.000147 s: urysohns.CU.U 0.013853 s: invertible_two._proof_1 0.000566 s: invertible_two 0.000153 s: urysohns.CU.C 0.009921 s: normal_exists_closure_subset 0.000279 s: urysohns.CU.closed_C 0.000218 s: urysohns.CU.open_U 0.000215 s: urysohns.CU.subset 0.000287 s: urysohns.CU.left._proof_1 0.002675 s: urysohns.CU.left._proof_2 0.001445 s: urysohns.CU.left._proof_3 0.000549 s: urysohns.CU.left 0.000218 s: urysohns.CU.right._proof_1 0.000521 s: urysohns.CU.right._proof_2 0.000516 s: urysohns.CU.right._proof_3 0.000611 s: urysohns.CU.right 0.180691 s: urysohns.CU.approx._main 0.000076 s: urysohns.CU.approx 0.000087 s: urysohns.CU.lim 0.015602 s: csupr_le 0.180586 s: urysohns.CU.approx._main.equations._eqn_2 0.180704 s: urysohns.CU.approx.equations._eqn_2 0.022994 s: affine_equiv.trans 0.000109 s: equiv.neg._proof_1 0.000049 s: equiv.neg._proof_2 0.000217 s: equiv.neg 0.001594 s: linear_equiv.neg._proof_1 0.002318 s: linear_equiv.neg._proof_2 0.000122 s: linear_equiv.neg._proof_3 0.000074 s: linear_equiv.neg._proof_4 0.002538 s: linear_equiv.neg 0.000798 s: linear_equiv.coe_neg 0.003700 s: affine_equiv.const_vsub._proof_1 0.000633 s: affine_equiv.const_vsub 0.000547 s: affine_equiv.point_reflection 0.002148 s: vadd_eq_vadd_iff_neg_add_eq_vsub 0.000671 s: vadd_eq_vadd_iff_sub_eq_vsub 0.001307 s: equiv.point_reflection_apply 0.001380 s: equiv.injective_point_reflection_left_of_injective_bit0 0.002021 s: affine_equiv.injective_point_reflection_left_of_injective_bit0 0.000674 s: is_unit.smul_left_cancel 0.003469 s: two_smul 0.010845 s: affine_equiv.injective_point_reflection_left_of_module 0.007255 s: midpoint.equations._eqn_1 0.003248 s: affine_equiv.point_reflection_apply 0.014635 s: affine_equiv.point_reflection_midpoint_left 0.003947 s: midpoint_eq_iff 0.011035 s: midpoint_eq_smul_add 0.000384 s: inv_of_eq_right_inv 0.003921 s: inv_of_eq_inv 0.387829 s: urysohns.CU.approx_le_one 0.003896 s: urysohns.CU.lim_le_one 0.084595 s: collinear 0.044649 s: collinear_iff_dim_le_one 0.094242 s: collinear_iff_findim_le_one 0.061865 s: finite_dimensional_vector_span_of_fintype 0.117016 s: submodule.lt_of_le_of_findim_lt_findim 0.108516 s: submodule.lt_top_of_findim_lt_findim 0.064236 s: span_lt_top_of_card_lt_findim 0.006966 s: finset.card_image_le 0.061095 s: linear_independent_of_span_eq_top_of_card_eq_findim 0.120792 s: linear_independent_iff_card_eq_findim_span 0.024186 s: vector_span_image_eq_span_vsub_set_right_ne 0.005550 s: vector_span_range_eq_span_range_vsub_right_ne 0.002697 s: list.filter_congr 0.001669 s: multiset.filter_congr 0.000663 s: finset.filter_congr 0.004001 s: finset.filter_ne 0.000861 s: finset.filter_ne' 0.003357 s: list.length_erasep_of_mem 0.000458 s: list.length_erase_of_mem 0.003356 s: multiset.card_erase_of_mem 0.000734 s: finset.card_erase_of_mem 0.115493 s: affine_independent_iff_findim_vector_span_eq 0.025155 s: vector_span_eq_span_vsub_set_right_ne 0.000254 s: vsub_left_injective 0.115244 s: findim_vector_span_image_finset_le 0.135302 s: findim_vector_span_range_le 0.106271 s: affine_independent_iff_le_findim_vector_span 0.103104 s: affine_independent_iff_not_findim_vector_span_le 0.074771 s: affine_independent_iff_not_collinear 0.000685 s: set_coe.ext_iff 0.013661 s: set.subsingleton_coe 0.000159 s: subsingleton.dcases_on 0.000840 s: cardinal.le_one_iff_subsingleton 0.065674 s: dim_le_one_iff 0.012311 s: submodule.le_span_singleton_iff 0.046484 s: dim_submodule_le_one_iff 0.006578 s: submodule.span_singleton_smul_le 0.021728 s: submodule.span_singleton_smul_eq 0.051446 s: dim_submodule_le_one_iff' 0.099447 s: collinear_iff_of_mem 0.033940 s: real_inner_add_add_self 0.017645 s: euclidean_geometry.dist_smul_vadd_square 0.000329 s: discrim 0.000391 s: discrim.equations._eqn_1 0.147075 s: quadratic_eq_zero_iff_discrim_eq_square 0.289886 s: quadratic_eq_zero_iff 0.321064 s: 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ulift.semiring._proof_9 0.004486 s: ulift.semiring._proof_10 0.005884 s: ulift.semiring._proof_11 0.001329 s: ulift.semiring._proof_12 0.001670 s: ulift.semiring._proof_13 0.002995 s: ulift.semiring._proof_14 0.002939 s: ulift.semiring._proof_15 0.003413 s: ulift.semiring 0.002486 s: ring_equiv.coe_to_ring_hom 0.002521 s: ulift.comm_semiring._proof_1 0.001747 s: ulift.comm_semiring._proof_2 0.001429 s: ulift.comm_semiring._proof_3 0.005613 s: ulift.comm_semiring._proof_4 0.007786 s: ulift.comm_semiring._proof_5 0.007072 s: ulift.comm_semiring._proof_6 0.002816 s: ulift.comm_semiring._proof_7 0.002021 s: ulift.comm_semiring._proof_8 0.001558 s: ulift.comm_semiring._proof_9 0.006445 s: ulift.comm_semiring._proof_11 0.002026 s: ulift.comm_semiring._proof_12 0.002330 s: ulift.comm_semiring._proof_13 0.003861 s: ulift.comm_semiring._proof_14 0.003188 s: ulift.comm_semiring._proof_15 0.006215 s: ulift.comm_semiring._proof_16 0.003363 s: ulift.comm_semiring 0.003164 s: 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nat.prime.multiplicity_factorial 0.012636 s: nat.prime.multiplicity_choose 0.006441 s: nat.pow_le_iff_le_right 0.006562 s: nat.log_pow 0.001600 s: finset.filter_union_right 0.000162 s: finset.card_filter_le 0.010557 s: pow_dvd_pow_iff 0.004127 s: multiplicity.multiplicity_pow_self 0.024877 s: nat.prime.multiplicity_pow_self 0.012666 s: nat.add_mod_of_add_mod_lt 0.004460 s: nat.le_mod_add_mod_of_dvd_add_of_not_dvd 0.000341 s: finset.card_union_le 0.016606 s: nat.prime.multiplicity_le_multiplicity_choose_add 0.015008 s: nat.prime.multiplicity_choose_prime_pow 0.020308 s: witt_vector.map_frobenius_poly.key₁ 1.256510 s: witt_vector.map_frobenius_poly.key₂ 0.814530 s: witt_vector.map_frobenius_poly 0.120765 s: witt_vector.bind₁_frobenius_poly_rat_witt_polynomial 0.299642 s: witt_vector.bind₁_frobenius_poly_witt_polynomial 0.039636 s: witt_vector.ghost_component_frobenius_fun 0.005183 s: witt_vector.frobenius._proof_1 0.001809 s: witt_vector.is_poly₂ 0.000933 s: witt_vector.is_poly₂.dcases_on 0.111840 s: witt_vector.is_poly₂.ext 0.048700 s: witt_vector.is_poly.comp₂ 0.000266 s: witt_vector.frobenius_fun_is_poly.comp₂_i 0.075429 s: witt_vector.is_poly₂.comp 0.013247 s: witt_vector.mul_is_poly₂ 0.000313 s: witt_vector.mul_is_poly₂.comp₂_i 0.022689 s: witt_vector.id_is_poly 0.000113 s: witt_vector.id_is_poly_i' 0.000202 s: witt_vector.frobenius_fun_is_poly.comp_i 0.008574 s: witt_vector.frobenius._proof_2 0.052873 s: witt_vector.zero_is_poly 0.017319 s: witt_vector.frobenius._proof_3 0.002610 s: witt_vector.add_is_poly₂ 0.000305 s: witt_vector.add_is_poly₂.comp₂_i 0.018489 s: witt_vector.frobenius._proof_4 0.006836 s: witt_vector.frobenius 0.000279 s: witt_vector.verschiebung_fun 0.000324 s: witt_vector.verschiebung_fun.equations._eqn_1 0.001967 s: witt_vector.verschiebung_fun_coeff 0.006031 s: witt_vector.verschiebung._proof_1 0.040378 s: witt_vector.verschiebung_poly.equations._eqn_1 0.006689 s: witt_vector.verschiebung_fun_coeff_zero 0.000581 s: witt_vector.verschiebung_fun_coeff_succ 0.109474 s: witt_vector.aeval_verschiebung_poly' 0.072693 s: witt_vector.verschiebung_fun_is_poly 0.000242 s: witt_vector.verschiebung_fun_is_poly.comp₂_i 0.000166 s: witt_vector.verschiebung_fun_is_poly.comp_i 0.025491 s: witt_vector.ghost_component_zero_verschiebung_fun 0.038660 s: witt_vector.ghost_component_verschiebung_fun 0.020127 s: witt_vector.verschiebung._proof_2 0.000467 s: witt_vector.verschiebung 0.000680 s: witt_vector.frobenius_is_poly 0.000540 s: witt_vector.frobenius_is_poly.comp_i 0.000710 s: witt_vector.verschiebung_is_poly 0.004869 s: witt_vector.verschiebung_is_poly.comp_i 0.001619 s: witt_vector.witt_mul_n._main 0.000038 s: witt_vector.witt_mul_n 0.000382 s: witt_vector.witt_mul_n._main.equations._eqn_1 0.000121 s: witt_vector.witt_mul_n.equations._eqn_1 0.001535 s: witt_vector.witt_mul_n._main.equations._eqn_2 0.000793 s: witt_vector.witt_mul_n.equations._eqn_2 0.075142 s: witt_vector.mul_n_coeff 0.038318 s: witt_vector.mul_n_is_poly 0.002610 s: witt_vector.mul_n_is_poly.comp_i 0.000781 s: witt_vector.ghost_component_frobenius 0.002320 s: witt_vector.ghost_component_verschiebung 0.014272 s: witt_vector.frobenius_verschiebung 0.013805 s: witt_vector.coeff_frobenius 0.035782 s: zmod.algebra 0.298150 s: witt_vector.frobenius_poly_zmod 0.125424 s: witt_vector.coeff_frobenius_char_p 0.001364 s: witt_vector.verschiebung_coeff_succ 0.024488 s: witt_vector.coeff_p_pow 0.032915 s: truncated_witt_vector.eq_of_le_of_cast_pow_eq_zero 0.014109 s: truncated_witt_vector.char_p_zmod 0.000085 s: truncated_witt_vector.zmod_equiv_trunc._proof_1 0.006663 s: truncated_witt_vector.zmod_equiv_trunc 0.008965 s: witt_vector.to_zmod_pow 0.002532 s: ring_hom.ext_zmod 0.031729 s: truncated_witt_vector.commutes 0.033661 s: truncated_witt_vector.commutes' 0.009099 s: truncated_witt_vector.commutes_symm' 0.029416 s: truncated_witt_vector.commutes_symm 0.027226 s: witt_vector.to_zmod_pow_compat 0.000762 s: 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category_theory.monad.monadic_of_has_preserves_reflects_G_split_coequalizers._proof_7 0.009274 s: category_theory.monad.monadic_of_has_preserves_reflects_G_split_coequalizers 0.010261 s: category_theory.monad.monadic_of_has_preserves_reflects_G_split_coequalizers.equations._eqn_1 0.021720 s: matrix.to_linear_equiv._proof_1 0.017022 s: matrix.to_linear_equiv._proof_2 0.196880 s: linear_map.to_matrix_comp 0.055621 s: matrix.to_lin_symm 0.018079 s: linear_map.to_matrix_to_lin 0.032678 s: matrix.to_lin_mul 0.024806 s: matrix.to_lin_to_matrix 0.033203 s: matrix.to_lin_one 0.033137 s: matrix.to_linear_equiv._proof_3 0.028121 s: matrix.to_linear_equiv._proof_4 0.015827 s: matrix.to_linear_equiv 0.002382 s: derivation.lie_ring._proof_1 0.000544 s: derivation.lie_ring._proof_2 0.064890 s: derivation.add_comm_group._proof_1 0.078838 s: derivation.add_comm_group._proof_2 0.073174 s: derivation.add_comm_group._proof_3 0.067036 s: derivation.add_comm_group._proof_4 0.070056 s: derivation.add_comm_group._proof_5 0.093319 s: derivation.add_comm_group._proof_6 0.098956 s: derivation.add_comm_group._proof_7 0.141627 s: derivation.add_comm_group._proof_8 0.154925 s: derivation.add_comm_group._proof_9 0.092083 s: derivation.add_comm_group._proof_10 0.099844 s: derivation.add_comm_group 0.010995 s: derivation.lie_ring._proof_3 0.003112 s: derivation.has_bracket._proof_1 0.002295 s: derivation.has_bracket._proof_2 0.002005 s: derivation.commutator._proof_1 0.000433 s: derivation.commutator._proof_2 0.000303 s: derivation.commutator._proof_3 0.000402 s: derivation.commutator._proof_4 0.000352 s: derivation.commutator._proof_5 0.000354 s: derivation.commutator._proof_6 0.000478 s: derivation.commutator._proof_7 0.000335 s: derivation.commutator._proof_8 0.086559 s: derivation.commutator._proof_9 0.107328 s: derivation.commutator._proof_10 0.022450 s: derivation.map_add 0.108608 s: derivation.commutator._proof_11 0.104747 s: derivation.commutator 0.067935 s: derivation.has_bracket 0.103861 s: derivation.commutator_apply 0.028342 s: derivation.add_apply 0.110832 s: derivation.lie_ring._proof_4 0.105143 s: derivation.lie_ring._proof_5 0.104277 s: derivation.lie_ring._proof_6 0.115296 s: derivation.map_sub 0.129673 s: derivation.lie_ring._proof_7 0.091707 s: derivation.lie_ring 0.000148 s: additive.ordered_add_comm_monoid._proof_1 0.000141 s: additive.ordered_add_comm_monoid._proof_2 0.000107 s: additive.ordered_add_comm_monoid._proof_3 0.009023 s: additive.ordered_add_comm_monoid._proof_4 0.002829 s: additive.ordered_add_comm_monoid._proof_5 0.000177 s: additive.ordered_add_comm_monoid._proof_6 0.000048 s: additive.partial_order 0.000115 s: additive.ordered_add_comm_monoid._proof_7 0.000135 s: additive.ordered_add_comm_monoid._proof_8 0.002672 s: additive.ordered_add_comm_monoid._proof_9 0.000669 s: additive.ordered_add_comm_monoid._proof_10 0.013054 s: additive.ordered_add_comm_monoid 0.000771 s: ulift.add_semigroup._proof_1 0.000102 s: 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polynomial.prime_of_degree_eq_one_of_monic 0.385711 s: polynomial.degree_normalize 0.072633 s: polynomial.leading_coeff_normalize 0.307733 s: polynomial.monic_normalize 0.308287 s: polynomial.prime_of_degree_eq_one 0.028801 s: pi_setoid._proof_1 0.000227 s: pi_setoid 0.015631 s: quotient.fin_choice_aux._main._proof_3 0.000442 s: equiv.comm_ring._proof_2 0.002010 s: quadratic_form.no_confusion_type 0.003172 s: quadratic_form.no_confusion 0.003947 s: quadratic_form.mk.inj 0.004719 s: quadratic_form.mk.inj_eq 0.002691 s: metric.of_t2_pseudo_metric_space._proof_1 0.000803 s: metric.of_t2_pseudo_metric_space 0.007483 s: typevec.to_subtype'._main.equations._eqn_2 0.000497 s: Top.sheaf.cases_on 0.000260 s: Top.sheaf.no_confusion_type 0.000572 s: Top.sheaf.no_confusion 0.001472 s: lie_ring.cases_on 0.000470 s: lie_ring.no_confusion_type 0.000769 s: lie_ring.no_confusion 0.003358 s: lie_ring.mk.inj 0.001621 s: lie_ring.mk.inj_arrow 0.000363 s: fintype.of_equiv.equations._eqn_1 0.000287 s: free_group.reduce 0.010831 s: free_group.reduce.not 0.005494 s: free_group.reduce.min 0.002371 s: free_group.reduce.red 0.000790 s: free_group.reduce.step.eq 0.000182 s: free_group.to_word._proof_1 0.000254 s: free_group.to_word 0.000152 s: psigma.no_confusion_type 0.000357 s: psigma.no_confusion 0.000387 s: psigma.mk.inj 0.002471 s: psigma.mk.inj_eq 0.002544 s: list.forall₂_iff 0.000252 s: vm_decl_kind 0.000022 s: vm_decl_kind.cfun.inj 0.000044 s: vm_decl_kind.cfun.inj_arrow 0.001039 s: bilin_form.is_adjoint_pair 0.001408 s: bilin_form.is_adjoint_pair.equations._eqn_1 0.000116 s: monad_fail.cases_on 0.000095 s: monad_fail.no_confusion_type 0.000256 s: monad_fail.no_confusion 0.000167 s: monad_fail.mk.inj 0.001672 s: perfection.pth_root._proof_1 0.004039 s: perfection.pth_root._proof_2 0.005771 s: perfection.pth_root._proof_3 0.004670 s: perfection.pth_root._proof_4 0.002796 s: perfection.pth_root._proof_5 0.045085 s: perfection.pth_root 0.011094 s: perfection.coeff_pth_root 0.067611 s: perfection.pth_root_frobenius 0.000242 s: palindrome.rec_on 0.011969 s: palindrome.reverse_eq 0.000092 s: palindrome.iff_reverse_eq 0.959056 s: CommGroup.has_forget_to_CommMon 1.007025 s: CommGroup.has_forget_to_CommMon.equations._eqn_1 0.004063 s: subgroup.card_eq_card_quotient_mul_card_subgroup 0.004745 s: subgroup.card_subgroup_dvd_card 0.000471 s: order_dual.complete_linear_order._proof_4 0.000340 s: bounded_continuous_function.has_coe_to_fun.equations._eqn_1 0.000227 s: power_series.inv_of_unit 0.049003 s: mv_power_series.inv_of_unit_eq' 0.005490 s: power_series.inv_of_unit_eq' 0.012904 s: nat.div_le_div_right 0.002835 s: lie_ring_module.rec_on 0.000160 s: equiv_of_unique_of_unique._proof_1 0.000080 s: equiv_of_unique_of_unique._proof_2 0.000274 s: equiv_of_unique_of_unique 0.000389 s: algebra.comap.to_comap 0.000520 s: algebra.comap.to_comap.equations._eqn_1 0.000859 s: omega.nat.preform.neg_free._main.equations._eqn_5 0.000050 s: omega.nat.preform.neg_free.equations._eqn_5 0.002443 s: with_zero.semigroup._match_1.equations._eqn_1 0.562894 s: metric.uniformity_basis_dist_pow 0.001367 s: metric.nhds_basis_ball_pow 0.066811 s: category_theory.mono_over.map_obj_arrow 0.024926 s: category_theory.mono_over.map_bot._proof_3 0.001352 s: mvpfunctor.comp 0.001627 s: mvpfunctor.comp.get 0.003660 s: mvpfunctor.comp.get_map 0.012919 s: zsqrtd.sq_le_add_mixed 0.041732 s: zsqrtd.sq_le_cancel 0.003302 s: subalgebra.coe_nat_mem 0.015983 s: nonneg_ring.sizeof 0.000061 s: nonneg_ring.has_sizeof_inst 0.000469 s: fin_enum 0.000072 s: fin_enum.card 0.000122 s: fin_enum.equiv 0.000257 s: fin_enum.to_list 0.000179 s: fin_enum.to_list.equations._eqn_1 0.001681 s: fin_enum.mem_to_list 0.001697 s: fin_enum.psigma.fin_enum_prop_left._match_1 0.002202 s: fin_enum.psigma.fin_enum_prop_left._match_1.equations._eqn_1 0.000713 s: to_add_mul 0.001897 s: preimage.is_add_submonoid 0.009625 s: typevec.to_subtype._main 0.000227 s: typevec.to_subtype 0.009406 s: typevec.of_subtype._main 0.000221 s: typevec.of_subtype 0.013229 s: typevec.to_subtype_of_subtype 0.004026 s: typevec.to_subtype_of_subtype_assoc 0.000221 s: turing.tape.nth._main 0.000080 s: turing.tape.nth 0.001424 s: linear_equiv.to_continuous_linear_equiv_of_continuous._proof_1 0.001331 s: linear_equiv.to_continuous_linear_equiv_of_continuous._proof_2 0.000813 s: linear_equiv.to_continuous_linear_equiv_of_continuous._proof_3 0.000715 s: linear_equiv.to_continuous_linear_equiv_of_continuous._proof_4 0.001363 s: set.countable.exists_surjective 0.008056 s: ennreal.pow_eq_top 0.000136 s: ennreal.pow_ne_top 0.017256 s: emetric.mk_uniformity_basis_le 0.002316 s: uniformity_basis_edist_le 0.005465 s: emetric.nhds_basis_closed_eball 0.002753 s: uniformity_basis_edist_nnreal 0.005448 s: emetric.cauchy_seq_iff_nnreal 0.060380 s: edist_le_Ico_sum_edist 0.061760 s: edist_le_Ico_sum_of_edist_le 0.003673 s: nnreal.add_sub_cancel' 0.027973 s: nnreal.dist_eq 0.000435 s: nndist_comm 0.214170 s: nnreal.nndist_eq 0.037334 s: cauchy_seq_of_edist_le_of_summable 0.005179 s: cauchy_seq_of_edist_le_of_tsum_ne_top 0.024112 s: nnreal.has_sum_geometric 0.063374 s: ennreal.tsum_geometric 0.010869 s: cauchy_seq_of_edist_le_geometric 0.000237 s: ennreal.inv_lt_one 0.002821 s: cauchy_seq_of_edist_le_geometric_two 0.003540 s: emetric.closed_ball_subset_closed_ball 0.043902 s: emetric.mem_closed_ball_self 0.000635 s: emetric.is_closed_ball 0.251449 s: dense_Inter_of_open_nat 0.001007 s: dense_sInter_of_open 0.001034 s: dense_bInter_of_open 0.000312 s: is_closed_frontier 0.000340 s: is_closed.frontier_eq 0.000900 s: interior_frontier 0.005771 s: dense_bUnion_interior_of_closed 0.001882 s: dense_Union_interior_of_closed 0.001156 s: nonempty_interior_of_Union_of_closed 0.000686 s: dist_zero_left 0.349428 s: exists_approx_preimage_norm_le 0.072578 s: nnreal.exists_le_has_sum_of_le 0.004945 s: nnreal.summable_of_le 0.002471 s: summable_of_nonneg_of_le 0.000334 s: summable.mul_right 0.000506 s: norm_tsum_le_tsum_norm 0.163110 s: has_sum_geometric_two 0.000194 s: summable_geometric_two 0.015758 s: summable.tsum_mul_right 0.032085 s: summable_mul_right_iff 0.015832 s: tsum_mul_right 0.002537 s: tsum_geometric_two 0.892410 s: exists_preimage_norm_le 0.093510 s: open_mapping 0.001986 s: linear_equiv.surjective 0.023088 s: linear_equiv.continuous_symm 0.004780 s: linear_equiv.to_continuous_linear_equiv_of_continuous 0.012157 s: subspace.prod_equiv_of_closed_compl._proof_1 0.013818 s: subspace.prod_equiv_of_closed_compl._proof_2 0.083967 s: subspace.prod_equiv_of_closed_compl._proof_3 0.021227 s: continuous_linear_map.coprod._proof_1 0.004140 s: continuous_linear_map.coprod 0.094990 s: subspace.prod_equiv_of_closed_compl._proof_4 0.431682 s: subspace.prod_equiv_of_closed_compl 0.382434 s: subspace.prod_equiv_of_closed_compl.equations._eqn_1 0.009932 s: digits_aux._main._pack._wf_rec_mk_dec_tactic._aux_1 0.005995 s: formal_multilinear_series.radius 0.030577 s: has_fpower_series_on_ball 0.000244 s: has_fpower_series_at 0.000239 s: analytic_at 0.000409 s: has_fpower_series_at.analytic_at 0.013827 s: ennreal.le_of_forall_nnreal_lt 0.005228 s: ennreal.eq_top_of_forall_nnreal_le 0.061104 s: asymptotics.bound_of_is_O_cofinite 0.007692 s: asymptotics.is_O.mono 0.002918 s: asymptotics.is_O_top 0.018188 s: asymptotics.is_O_cofinite_iff 0.003911 s: asymptotics.is_O_nat_at_top_iff 0.012723 s: asymptotics.is_O_one_nat_at_top_iff 0.018231 s: formal_multilinear_series.le_radius_of_bound 0.013575 s: formal_multilinear_series.le_radius_of_is_O 0.003240 s: formal_multilinear_series.radius_eq_top_of_forall_nnreal_is_O 0.003354 s: asymptotics.is_O_with_zero' 0.000700 s: asymptotics.is_O_zero 0.021709 s: formal_multilinear_series.radius_eq_top_of_eventually_eq_zero 0.011503 s: formal_multilinear_series.radius_eq_top_of_forall_image_add_eq_zero 0.009153 s: continuous_linear_map.fpower_series_radius 0.004108 s: continuous_linear_map.fpower_series._main.equations._eqn_1 0.004433 s: continuous_linear_map.fpower_series.equations._eqn_1 0.034217 s: continuous_linear_map.fpower_series._main.equations._eqn_2 0.027986 s: continuous_linear_map.fpower_series.equations._eqn_2 0.069453 s: continuous_multilinear_curry_fin1_symm_apply 0.072767 s: continuous_linear_map.has_fpower_series_on_ball 0.011842 s: continuous_linear_map.has_fpower_series_at 0.003768 s: continuous_linear_map.analytic_at 0.000092 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_1 0.000064 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_2 0.000041 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_3 0.000039 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_4 0.000075 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_1 0.000036 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_2 0.000069 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_4 0.000072 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_5 0.000036 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_6 0.000082 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_1 0.000038 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_2 0.000037 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_3 0.000045 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_4 0.000046 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_5 0.000037 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_6 0.131272 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_7 0.121289 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_8 0.015542 s: category_theory.limits.cone.category_to_category_struct_comp_hom 0.001438 s: category_theory.limits.cone.category_to_category_struct_id_hom 0.177831 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_9 0.179929 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app._proof_10 0.110910 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app 0.000092 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_7 0.126876 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso._proof_8 0.099585 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso 0.000252 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_5 0.000120 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_1 0.000110 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_2 0.000058 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_3 0.000079 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_4 0.000080 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_6 0.000058 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_7 0.000069 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_8 0.133844 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_10 0.208905 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_11 0.186897 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_12 0.268166 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso._proof_13 0.112931 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso 0.000158 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_6 0.122786 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv._proof_7 0.089570 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv 0.025089 s: category_theory.pairwise.cocone._proof_1 0.004869 s: category_theory.pairwise.cocone 0.210962 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_15 0.010579 s: submodule.pi._proof_3 0.003148 s: lists.induction_mut 0.008845 s: lists'.subset.rec 0.002502 s: lists'.mem_of_subset' 0.002385 s: lists'.subset_def 0.000721 s: lists.equiv.symm 0.005049 s: lists.equiv.trans 0.016662 s: polynomial.separable.of_mul_right 0.000383 s: equiv.functor 0.000559 s: equiv.traverse 0.000257 s: equiv.traversable 0.000730 s: buffer.append_list._main 0.000058 s: buffer.append_list 0.000058 s: list.to_buffer 0.000098 s: buffer.to_list 0.000268 s: list.to_buffer.equations._eqn_1 0.000302 s: buffer.to_list.equations._eqn_1 0.004047 s: d_array.iterate_aux._main 0.000079 s: d_array.iterate_aux 0.000039 s: d_array.iterate._proof_1 0.000186 s: d_array.iterate 0.000097 s: array.iterate 0.000100 s: array.foldl 0.000052 s: array.rev_list 0.003696 s: array.rev_list_reverse_aux 0.000987 s: array.rev_list_reverse 0.000110 s: array.rev_list.equations._eqn_1 0.000133 s: array.foldl.equations._eqn_1 0.000193 s: array.iterate.equations._eqn_1 0.000461 s: d_array.iterate.equations._eqn_1 0.000470 s: d_array.iterate_aux._main._proof_1 0.001825 s: d_array.iterate_aux._main.equations._eqn_2 0.000827 s: d_array.iterate_aux.equations._eqn_2 0.005122 s: array.push_back_rev_list_aux 0.003965 s: array.push_back_rev_list 0.000982 s: array.push_back_to_list 0.003009 s: buffer.to_list_append_list 0.001951 s: buffer.to_list_to_buffer 0.000514 s: buffer.list_equiv_buffer._proof_1 0.000083 s: array.to_buffer 0.000076 s: heq_of_heq_of_eq 0.000400 s: d_array.iterate_aux._main.equations._eqn_1 0.000136 s: d_array.iterate_aux.equations._eqn_1 0.002724 s: array.rev_list_length_aux 0.000391 s: array.rev_list_length 0.000358 s: array.to_list_length 0.000100 s: eq.drec_on 0.000400 s: d_array.ext 0.012407 s: array.to_list_nth_le_aux 0.003265 s: array.to_list_nth_le 0.002225 s: array.to_list_to_array 0.002190 s: buffer.ext 0.000125 s: array.to_buffer.equations._eqn_1 0.000749 s: array.to_array_to_list 0.003136 s: buffer.append_list_mk_buffer 0.001330 s: buffer.to_buffer_to_list 0.000044 s: buffer.inhabited 0.000501 s: buffer.list_equiv_buffer._proof_2 0.000124 s: buffer.list_equiv_buffer 0.000129 s: buffer.traversable 0.001183 s: equiv.id_map 0.002332 s: equiv.comp_map 0.001294 s: equiv.is_lawful_functor 0.000166 s: equiv.is_lawful_traversable._proof_1 0.000410 s: equiv.traverse.equations._eqn_1 0.001164 s: is_lawful_traversable.id_traverse 0.000112 s: id_bind.equations._eqn_1 0.001623 s: equiv.id_traverse 0.001140 s: is_lawful_traversable.comp_traverse 0.004485 s: equiv.comp_traverse 0.001104 s: is_lawful_traversable.traverse_eq_map_id 0.001918 s: equiv.traverse_eq_map_id 0.001167 s: is_lawful_traversable.naturality 0.002226 s: equiv.naturality 0.002638 s: equiv.is_lawful_traversable 0.238849 s: list.is_lawful_monad 0.000097 s: list.is_lawful_traversable._proof_1 0.008206 s: list.id_traverse 0.000188 s: functor.comp.has_seq 0.000808 s: comp.seq_mk 0.000865 s: is_lawful_applicative.seq_assoc 0.000744 s: is_lawful_applicative.seq_pure 0.002253 s: seq_map_assoc 0.001372 s: map_seq 0.007780 s: list.comp_traverse 0.003336 s: list.traverse_eq_map_id 0.002513 s: list.naturality 0.001876 s: list.is_lawful_traversable 0.000214 s: buffer.is_lawful_traversable 0.009177 s: submodule.compatible_maps._proof_1 0.011392 s: submodule.compatible_maps._proof_2 0.004240 s: submodule.comap_zero 0.009021 s: submodule.compatible_maps._proof_3 0.009584 s: submodule.inf_comap_le_comap_add 0.012954 s: submodule.compatible_maps._proof_4 0.024020 s: submodule.comap_le_comap_smul 0.019175 s: submodule.compatible_maps._proof_5 0.007946 s: submodule.compatible_maps 0.005627 s: submodule.compatible_maps.equations._eqn_1 0.001225 s: fpow_bit1 0.000481 s: fpow_bit1' 0.002771 s: complex.I_fpow_bit1 0.000132 s: fin.mk_val 0.000683 s: Mon.colimits.monoid_colimit_type._proof_1 0.002119 s: Mon.colimits.monoid_colimit_type._proof_2 0.015291 s: Mon.colimits.monoid_colimit_type._proof_3 0.005485 s: Mon.colimits.monoid_colimit_type._proof_4 0.004633 s: Mon.colimits.monoid_colimit_type._proof_5 0.004461 s: Mon.colimits.monoid_colimit_type._proof_6 0.004251 s: Mon.colimits.monoid_colimit_type._proof_7 0.009581 s: Mon.colimits.monoid_colimit_type._proof_8 0.009936 s: Mon.colimits.monoid_colimit_type._proof_9 0.021682 s: Mon.colimits.monoid_colimit_type 0.000206 s: Mon.colimits.colimit 0.000378 s: Mon.colimits.prequotient.below 0.002188 s: Mon.colimits.prequotient.brec_on 0.000583 s: Mon.colimits.prequotient.cases_on 0.003486 s: Mon.colimits.desc_fun_lift._main 0.000367 s: Mon.colimits.desc_fun_lift 0.005317 s: Mon.colimits.relation.drec 0.021281 s: Mon.colimits.desc_fun._proof_1 0.000507 s: Mon.colimits.desc_fun 0.000911 s: Mon.colimits.desc_morphism._proof_1 0.024832 s: Mon.colimits.desc_morphism._proof_2 0.004096 s: Mon.colimits.desc_morphism 0.002588 s: Mon.colimits.desc_morphism.equations._eqn_1 0.000023 s: hex_digit_repr 0.000088 s: char_to_hex 0.000379 s: char.quote_core 0.000087 s: char.has_repr 0.000041 s: char.repr 0.000107 s: char.repr.equations._eqn_1 0.000132 s: turing.partrec_to_TM2.Γ'.rec_on 0.000981 s: category_theory.representable 0.000419 s: category_theory.representable.cases_on 0.000276 s: monad_io.cases_on 0.030495 s: sqr_le_sqr 0.000102 s: right_coset 0.004851 s: mem_right_coset_iff 0.000436 s: subgroup.normal.mem_comm_iff 0.001299 s: eq_cosets_of_normal 0.000175 s: mem_left_coset 0.001366 s: normal_of_eq_cosets 0.000295 s: normal_iff_eq_cosets 0.004466 s: finsupp.linear_equiv_fun_on_fintype._proof_1 0.003769 s: finsupp.linear_equiv_fun_on_fintype._proof_2 0.000240 s: finsupp.linear_equiv_fun_on_fintype._proof_3 0.000158 s: finsupp.linear_equiv_fun_on_fintype._proof_4 0.001596 s: finsupp.linear_equiv_fun_on_fintype 0.000754 s: order.cofinal 0.000168 s: order.cofinal.carrier 0.000297 s: order.cofinal.mem_gt 0.000213 s: order.cofinal.above 0.000097 s: order.sequence_of_cofinals._match_1 0.000312 s: order.sequence_of_cofinals._main 0.000084 s: order.sequence_of_cofinals 0.000288 s: order.cofinal.le_above 0.003277 s: order.sequence_of_cofinals.monotone 0.002235 s: order.ideal_of_cofinals._match_1 0.002608 s: order.ideal_of_cofinals._match_1.equations._eqn_1 0.007060 s: ordnode.node3_r_size 0.012323 s: alternating_map.dom_coprod'._proof_1 0.023365 s: is_R_or_C.im_sq_le_norm_sq 0.152306 s: is_R_or_C.abs_im_le_abs 0.032527 s: is_R_or_C.is_cau_seq_im 0.001237 s: is_R_or_C.cau_seq_im 0.000420 s: ordnode.remove_nth._main.equations._eqn_1 0.000109 s: ordnode.remove_nth.equations._eqn_1 0.000142 s: convex_hull 0.000892 s: convex_hull_min 0.086006 s: finset.center_mass_eq_of_sum_1 0.094813 s: finset.center_mass_ite_eq 0.107538 s: finset.center_mass_segment 0.000638 s: convex_Inter 0.000755 s: convex_convex_hull 0.000367 s: subset_convex_hull 0.017144 s: finset.center_mass_mem_convex_hull 0.032951 s: finset.convex_hull_eq 0.000201 s: finset.nonempty.bex 0.008216 s: sub_left_injective 0.006696 s: linear_dependent_iff 0.002351 s: finite_dimensional.finset_card_le_findim_of_linear_independent 0.001050 s: finset.decidable_mem' 0.035646 s: finite_dimensional.exists_nontrivial_relation_of_dim_lt_card 0.005244 s: finset.filter_eq' 0.060118 s: finite_dimensional.exists_nontrivial_relation_sum_zero_of_dim_succ_lt_card 0.028133 s: finset.exists_pos_of_sum_zero_of_exists_nonzero 0.260810 s: finite_dimensional.exists_relation_sum_zero_pos_coefficient_of_dim_succ_lt_card 0.316374 s: caratheodory.mem_convex_hull_erase 0.000240 s: turing.to_partrec.cfg 0.000064 s: turing.to_partrec.cfg.cases_on 0.000102 s: turing.to_partrec.cont.below 0.031431 s: turing.to_partrec.cont.brec_on 0.006023 s: turing.to_partrec.step_normal._main 0.000032 s: turing.to_partrec.step_normal 0.001267 s: turing.to_partrec.step_ret._main 0.000023 s: turing.to_partrec.step_ret 0.000074 s: turing.to_partrec.step._main 0.000012 s: turing.to_partrec.step 0.000087 s: turing.to_partrec.step._main.equations._eqn_1 0.000032 s: turing.to_partrec.step.equations._eqn_1 0.013972 s: alg_equiv.to_Algebra_iso._proof_1 0.005711 s: alg_equiv.to_Algebra_iso._proof_2 0.002153 s: alg_equiv.to_Algebra_iso 0.003850 s: category_theory.coe_hom_inv_id 0.006680 s: category_theory.iso.to_alg_equiv._proof_1 0.002507 s: category_theory.coe_inv_hom_id 0.003656 s: category_theory.iso.to_alg_equiv._proof_2 0.002586 s: category_theory.iso.to_alg_equiv._proof_3 0.005560 s: category_theory.iso.to_alg_equiv._proof_4 0.002761 s: category_theory.iso.to_alg_equiv._proof_5 0.001771 s: category_theory.iso.to_alg_equiv 0.004628 s: alg_equiv_iso_Algebra_iso._proof_1 0.008086 s: alg_equiv_iso_Algebra_iso._proof_2 0.002367 s: alg_equiv_iso_Algebra_iso 0.002080 s: alg_equiv_iso_Algebra_iso_inv 0.000277 s: category_theory.enough_projectives 0.000215 s: category_theory.projective_presentation.P 0.000091 s: category_theory.enough_projectives.presentation 0.000115 s: category_theory.projective.over 0.000222 s: category_theory.projective.left 0.000213 s: category_theory.projective_presentation.projective 0.000219 s: category_theory.projective.projective_over 0.000346 s: category_theory.projective.left.projective 0.000578 s: is_open_and 0.003200 s: finset.inf_singleton 0.002755 s: polynomial.trailing_degree_monomial 0.001321 s: polynomial.nat_trailing_degree_monomial 0.010671 s: polynomial.nat_trailing_degree_monomial_le 0.033600 s: polynomial.nat_trailing_degree_C 0.007811 s: polynomial.nat_trailing_degree_one 0.003321 s: mul_le_of_le_one_right' 0.000238 s: lt_of_lt_mul_of_le_one_left 0.004979 s: pi.has_sum 0.001773 s: tsum_apply 0.025886 s: algebra.tensor_product.tensor_product.ring._proof_1 0.027001 s: algebra.tensor_product.tensor_product.ring._proof_2 0.028890 s: algebra.tensor_product.tensor_product.ring._proof_3 0.024180 s: algebra.tensor_product.tensor_product.ring._proof_5 0.029192 s: algebra.tensor_product.tensor_product.ring._proof_6 0.024612 s: algebra.tensor_product.tensor_product.ring._proof_7 0.025600 s: algebra.tensor_product.tensor_product.ring._proof_8 0.031281 s: algebra.tensor_product.tensor_product.ring._proof_9 0.029857 s: algebra.tensor_product.tensor_product.ring._proof_10 0.031488 s: algebra.tensor_product.tensor_product.ring._proof_11 0.026459 s: algebra.tensor_product.tensor_product.ring._proof_12 0.031237 s: algebra.tensor_product.tensor_product.ring._proof_13 0.028595 s: algebra.tensor_product.tensor_product.ring._proof_14 0.028529 s: algebra.tensor_product.tensor_product.ring._proof_15 0.038100 s: algebra.tensor_product.tensor_product.ring 0.033708 s: algebra.tensor_product.tensor_product.comm_ring._proof_1 0.035175 s: algebra.tensor_product.tensor_product.comm_ring._proof_2 0.037232 s: algebra.tensor_product.tensor_product.comm_ring._proof_3 0.033094 s: algebra.tensor_product.tensor_product.comm_ring._proof_4 0.037405 s: algebra.tensor_product.tensor_product.comm_ring._proof_5 0.039799 s: algebra.tensor_product.tensor_product.comm_ring._proof_6 0.034092 s: algebra.tensor_product.tensor_product.comm_ring._proof_7 0.038287 s: algebra.tensor_product.tensor_product.comm_ring._proof_8 0.046296 s: algebra.tensor_product.tensor_product.comm_ring._proof_9 0.042193 s: algebra.tensor_product.tensor_product.comm_ring._proof_10 0.042123 s: algebra.tensor_product.tensor_product.comm_ring._proof_11 0.044029 s: algebra.tensor_product.tensor_product.comm_ring._proof_12 0.041701 s: algebra.tensor_product.tensor_product.comm_ring._proof_13 0.039646 s: algebra.tensor_product.tensor_product.comm_ring._proof_14 0.037281 s: algebra.tensor_product.tensor_product.comm_ring._proof_15 0.048735 s: algebra.tensor_product.tensor_product.comm_ring._proof_16 0.044932 s: algebra.tensor_product.tensor_product.comm_ring 0.000074 s: add_monoid.closure 0.005837 s: add_monoid.in_closure.drec 0.005722 s: add_monoid.exists_list_of_mem_closure 0.013783 s: cardinal.two_le_iff 0.012797 s: category_theory.quiver.hom.subsingleton 0.009379 s: category_theory.quiver.hom.subsingleton.equations._eqn_1 0.000157 s: set.Icc.order_bot._proof_1 0.000208 s: set.Icc.order_bot._proof_2 0.000395 s: set.Icc.order_bot._proof_3 0.001684 s: set.Icc.order_bot._proof_4 0.001727 s: set.Icc.order_bot._proof_5 0.001112 s: set.Icc.order_bot._proof_6 0.005041 s: set.Icc.order_bot 0.001372 s: set.Icc.semilattice_inf_bot._proof_5 0.002859 s: category_theory.action_category.hom_of_pair._proof_1 0.005225 s: category_theory.action_category.hom_of_pair 0.001665 s: arrow_action._proof_1 0.001088 s: arrow_action._proof_2 0.000572 s: arrow_action 0.000271 s: mul_aut_arrow._proof_1 0.000205 s: mul_aut_arrow._proof_2 0.000393 s: arrow_action_to_has_scalar_smul 0.001268 s: mul_aut_arrow._proof_3 0.008925 s: mul_aut_arrow._proof_4 0.016627 s: mul_aut_arrow._proof_5 0.004771 s: mul_aut_arrow 0.014323 s: category_theory.action_category.curry._proof_1 0.009634 s: Module.cokernel_cocone.equations._eqn_1 0.003201 s: normed_group_hom.bounds_nonempty 0.029184 s: normed_group_hom.le_op_norm 0.003942 s: normed_group_hom.op_norm_nonneg 0.011550 s: normed_group_hom.comp._proof_1 0.003767 s: normed_group_hom.comp 0.003190 s: normed_group_hom.has_zero._proof_1 0.000462 s: normed_group_hom.has_zero 0.000144 s: normed_group_hom.ker 0.002489 s: normed_group_hom.mem_ker 0.003418 s: normed_group_hom.ker.lift._proof_1 0.001590 s: normed_group_hom.map_add 0.017666 s: normed_group_hom.ker.lift._proof_2 0.005337 s: normed_group_hom.ker.lift 0.017678 s: neg_add_lt_of_lt_add 0.005979 s: neg_add_lt_right_of_lt_add 0.096839 s: is_R_or_C.eq_conj_iff_real 0.013964 s: set.add_action._proof_1 0.002328 s: set.add_action._proof_2 0.003876 s: set.add_action 0.001640 s: set.add_action.equations._eqn_1 0.000103 s: fin.has_well_founded._proof_1 0.000085 s: fin.has_well_founded 0.000267 s: measurable_set_interval 0.001242 s: monoid_hom.comm_monoid._proof_1 0.000863 s: monoid_hom.comm_monoid._proof_2 0.000526 s: monoid_hom.comm_monoid._proof_3 0.000987 s: monoid_hom.comm_monoid._proof_4 0.003064 s: monoid_hom.comm_monoid._proof_5 0.005933 s: monoid_hom.comm_monoid._proof_6 0.010449 s: monoid_hom.comm_monoid._proof_7 0.004431 s: monoid_hom.comm_monoid._proof_8 0.003433 s: monoid_hom.comm_monoid 0.002782 s: mul_inv 0.001442 s: monoid_hom.has_inv._proof_1 0.000487 s: monoid_hom.has_inv 0.004838 s: monoid_hom.has_div._proof_1 0.000458 s: monoid_hom.has_div 0.016270 s: monoid_hom.comm_group._proof_7 0.000102 s: side 0.000038 s: side.cases_on 0.000052 s: side.no_confusion_type 0.000195 s: side.no_confusion 0.000233 s: side.decidable_eq 0.003048 s: category_theory.pullback_arrows 0.000417 s: lt_sub 0.006214 s: parser.err_static.mmap_of_unfailing._sunfold 0.001214 s: char.to_lower 0.000701 s: char.to_lower.equations._eqn_1 0.000348 s: rbmap.equations._eqn_1 0.000142 s: filter.is_cobounded.equations._eqn_1 0.001294 s: filter.is_cobounded_principal 0.001079 s: roption.fix.approx._main 0.000129 s: roption.fix.approx 0.000141 s: nat.upto.gt 0.007770 s: nat.le_add_of_sub_le_left 0.000332 s: nat.sub_le_sub_left_iff 0.000857 s: nat.sub_lt_sub_left_iff 0.002665 s: nat.upto.wf 0.000249 s: roption.fix._proof_1 0.000087 s: nat.upto.zero._proof_1 0.000115 s: nat.upto.zero 0.000427 s: roption.fix 0.000970 s: roption.fix.equations._eqn_1 0.002198 s: category_theory.center.hom.sizeof 0.002802 s: submonoid.localization_map.of_mul_equiv_of_dom._proof_1 0.013921 s: submonoid.localization_map.of_mul_equiv_of_dom._match_1 0.007641 s: submonoid.localization_map.of_mul_equiv_of_dom._proof_2 0.010481 s: submonoid.localization_map.of_mul_equiv_of_dom._match_2 0.007090 s: submonoid.localization_map.of_mul_equiv_of_dom._match_3 0.004006 s: submonoid.localization_map.of_mul_equiv_of_dom._match_4 0.001736 s: submonoid.localization_map.of_mul_equiv_of_dom._proof_3 0.008534 s: submonoid.localization_map.of_mul_equiv_of_dom._match_5 0.004107 s: submonoid.localization_map.of_mul_equiv_of_dom._match_6 0.007368 s: submonoid.localization_map.of_mul_equiv_of_dom._match_7 0.004552 s: submonoid.localization_map.of_mul_equiv_of_dom._proof_4 0.003371 s: submonoid.localization_map.of_mul_equiv_of_dom 0.000699 s: submonoid.localization_map.mul_equiv_of_mul_equiv 0.001440 s: submonoid.localization_map.mul_equiv_of_mul_equiv.equations._eqn_1 0.000256 s: category_theory.limits.types.category_theory.limits.has_image 0.000057 s: category_theory.limits.types.sort.category_theory.limits.has_images._proof_1 0.000058 s: category_theory.limits.types.sort.category_theory.limits.has_images 0.002391 s: category_theory.limits.has_image_map.mk 0.002994 s: category_theory.limits.image.lift_fac_assoc 0.009341 s: category_theory.limits.image_map.transport._proof_1 0.008337 s: category_theory.limits.image_map.transport 0.004230 s: category_theory.limits.has_image_map.transport 0.014758 s: category_theory.limits.types.sort.category_theory.limits.has_image_maps._proof_1 0.000212 s: category_theory.limits.types.sort.category_theory.limits.has_image_maps 0.000247 s: add_lt_of_lt_sub_left 0.000248 s: ordinal.is_equivalent._match_5.equations._eqn_1 0.000330 s: category_theory.limits.types.binary_coproduct_cocone 0.005094 s: category_theory.limits.types.binary_coproduct_cocone_ι_app 0.006590 s: monoid_algebra.lift_nc_alg_hom._proof_1 0.003125 s: monoid_algebra.lift_nc_alg_hom._proof_3 0.002164 s: monoid_algebra.lift_nc_alg_hom._proof_4 0.017688 s: monoid_algebra.lift_nc_ring_hom.equations._eqn_1 0.007341 s: monoid_algebra.coe_algebra_map 0.035169 s: monoid_algebra.lift_nc_alg_hom._proof_5 0.015870 s: monoid_algebra.lift_nc_alg_hom 0.000962 s: monoid_algebra.lift._proof_1 0.000238 s: monoid_algebra.of._proof_1 0.002571 s: monoid_algebra.of._proof_2 0.000740 s: monoid_algebra.of 0.010787 s: monoid_algebra.lift_nc_alg_hom.equations._eqn_1 0.001099 s: monoid_algebra.of_apply 0.064301 s: monoid_algebra.lift._proof_2 0.024823 s: monoid_algebra.alg_hom_ext' 0.066356 s: monoid_algebra.lift._proof_3 0.017570 s: monoid_algebra.lift 0.006177 s: monoid_algebra.lift_def 0.001040 s: category_theory.ulift_functor._proof_1 0.000540 s: category_theory.ulift_functor._proof_2 0.001710 s: category_theory.ulift_functor 0.003748 s: category_theory.ulift_functor_faithful 0.001818 s: category_theory.triangulated.triangle.mk_mor₂ 0.001490 s: prod.decidable_eq._match_1.equations._eqn_2 0.000212 s: polynomial.nth_roots_finset 0.002224 s: pnat.ne_zero 0.005948 s: polynomial.nth_roots_zero 0.000056 s: nat.to_pnat' 0.000296 s: nat.lt_asymm 0.040733 s: is_primitive_root.card_roots_of_unity' 0.018276 s: is_primitive_root.card_roots_of_unity 0.000393 s: pnat.to_pnat'_coe 0.011197 s: is_primitive_root.card_nth_roots 0.003992 s: is_primitive_root.nth_roots_nodup 0.000232 s: polynomial.nth_roots_finset.equations._eqn_1 0.001253 s: is_primitive_root.card_nth_roots_finset 0.010788 s: is_primitive_root.disjoint 0.011289 s: pnat.pos_of_div_pos 0.001963 s: nat.filter_dvd_eq_divisors 0.019368 s: is_primitive_root.pow 0.047601 s: is_primitive_root.nth_roots_one_eq_bUnion_primitive_roots' 0.004182 s: polynomial.ne_zero_of_nat_degree_gt 0.012886 s: polynomial.degree_lt_degree 0.000364 s: equiv.comm_ring._proof_5 0.001546 s: add_subgroup.normal 0.000506 s: is_simple_add_group 0.000117 s: is_simple_add_group.exists_pair_ne 0.000078 s: is_simple_add_group.to_nontrivial 0.005788 s: hahn_series.summable_family.mk.inj_eq 0.003746 s: hahn_series.summable_family.coe_injective 0.000507 s: hahn_series.summable_family.ext 0.003642 s: hahn_series.summable_family.add_comm_monoid._proof_1 0.001745 s: hahn_series.summable_family.has_zero._proof_1 0.002864 s: hahn_series.summable_family.has_zero._proof_2 0.000715 s: hahn_series.summable_family.has_zero 0.002403 s: hahn_series.summable_family.add_comm_monoid._proof_2 0.001905 s: hahn_series.summable_family.add_comm_monoid._proof_3 0.001587 s: hahn_series.summable_family.add_comm_monoid._proof_4 0.002218 s: hahn_series.summable_family.add_comm_monoid._proof_5 0.010660 s: hahn_series.summable_family.add_comm_monoid._proof_6 0.006358 s: hahn_series.summable_family.add_comm_monoid._proof_7 0.011092 s: hahn_series.summable_family.add_comm_monoid._proof_8 0.005427 s: hahn_series.summable_family.add_comm_monoid 0.000239 s: hahn_series.summable_family.add_comm_group._proof_1 0.000421 s: hahn_series.summable_family.add_comm_group._proof_2 0.000328 s: hahn_series.summable_family.add_comm_group._proof_3 0.001550 s: hahn_series.summable_family.add_comm_group._proof_4 0.000604 s: hahn_series.summable_family.add_comm_group._proof_5 0.009265 s: hahn_series.summable_family.add_comm_group._proof_6 0.012483 s: hahn_series.summable_family.add_comm_group._proof_7 0.000249 s: hahn_series.summable_family.add_comm_group._proof_8 0.000234 s: hahn_series.summable_family.add_comm_group._proof_9 0.000163 s: hahn_series.summable_family.add_comm_group._proof_10 0.000797 s: hahn_series.summable_family.add_comm_group._proof_11 0.000368 s: hahn_series.summable_family.add_comm_group._proof_12 0.016097 s: hahn_series.summable_family.add_comm_group._proof_13 0.030317 s: hahn_series.summable_family.add_comm_group._proof_14 0.000532 s: hahn_series.summable_family.add_comm_group._proof_15 0.019416 s: hahn_series.summable_family.add_comm_group 0.012484 s: hahn_series.summable_family.sub_apply 0.000281 s: filter.eventually_eq.inv 0.002031 s: add_con_gen.rel.drec_on 0.000044 s: io.mode.sizeof 0.000042 s: io.mode.has_sizeof_inst 0.174098 s: power_basis.finite_dimensional 0.000252 s: equiv.has_div 0.000029 s: vm_obj_kind.mpz.inj 0.000055 s: vm_obj_kind.mpz.inj_eq 0.021254 s: local_homeomorph.image_eq_target_inter_inv_preimage 0.000143 s: snum.bit._main 0.000012 s: snum.bit 0.000116 s: nzsnum.below 0.000329 s: nzsnum.brec_on 0.000749 s: snum.bit_one 0.001167 s: nzsnum.drec'._main 0.000081 s: nzsnum.drec' 0.000165 s: snum.drec'._sunfold 0.000013 s: tactic.simp_config.canonize_instances._default 0.000092 s: turing.to_partrec.code.sizeof 0.000017 s: turing.to_partrec.code.has_sizeof_inst 0.000224 s: turing.to_partrec.code.fix.sizeof_spec 0.003884 s: subgroup.subsingleton_iff 0.000350 s: subgroup.unique._proof_1 0.000617 s: category_theory.Cat.of 0.000191 s: category_theory.Cat.of.equations._eqn_1 0.001870 s: ulift.comm_monoid._proof_1 0.001151 s: ulift.comm_monoid._proof_2 0.001092 s: ulift.comm_monoid._proof_3 0.003067 s: ulift.comm_monoid._proof_4 0.003144 s: ulift.comm_monoid._proof_5 0.004895 s: ulift.comm_monoid._proof_6 0.001710 s: ulift.comm_monoid 0.000260 s: pgame.impartial.drec_on 0.001133 s: onote.split._main 0.000546 s: onote.split._main.equations._eqn_1 0.001857 s: measure_theory.measure.join_zero 0.003941 s: measure_theory.measure.bind_zero_left 0.001310 s: measure_theory.measure.zero_prod 0.002659 s: finsupp.coe_neg 0.000227 s: computability.encoding.sizeof 0.001494 s: computability.encoding.mk.sizeof_spec 0.002091 s: metric.emetric_closed_ball 0.002421 s: path.trans.equations._eqn_1 0.000948 s: Top.sheaf.mk.inj 0.002138 s: category_theory.limits.biproduct.ι_π_self 0.004378 s: category_theory.limits.biproduct.hom_ext' 0.004017 s: category_theory.limits.biproduct.hom_ext 0.016368 s: category_theory.limits.biproduct.total 0.025256 s: category_theory.functor.map_has_biproduct 0.001101 s: category_theory.functor.map_biproduct._proof_1 0.000488 s: mul_action_hom.id._proof_1 0.000073 s: io.error.cases_on 0.000079 s: io.error.no_confusion_type 0.004821 s: int.of_nat_dvd_of_dvd_nat_abs 0.042740 s: function.injective.ordered_ring._proof_1 0.045336 s: function.injective.ordered_ring._proof_2 0.047332 s: function.injective.ordered_ring._proof_3 0.036772 s: function.injective.ordered_ring._proof_4 0.036406 s: function.injective.ordered_ring._proof_5 0.062581 s: function.injective.ordered_ring._proof_6 0.071816 s: function.injective.ordered_ring._proof_7 0.051225 s: function.injective.ordered_ring._proof_8 0.045837 s: function.injective.ordered_ring._proof_9 0.043658 s: function.injective.ordered_ring._proof_10 0.047826 s: function.injective.ordered_ring._proof_11 0.047201 s: function.injective.ordered_ring._proof_12 0.039884 s: function.injective.ordered_ring._proof_13 0.047117 s: function.injective.ordered_ring._proof_14 0.039261 s: function.injective.ordered_ring._proof_15 0.038436 s: function.injective.ordered_ring._proof_16 0.037370 s: function.injective.ordered_ring._proof_17 0.037335 s: function.injective.ordered_ring._proof_18 0.038733 s: function.injective.ordered_ring._proof_19 0.048141 s: function.injective.ordered_ring._proof_21 0.260892 s: function.injective.ordered_ring._proof_22 0.189105 s: function.injective.ordered_ring 0.114379 s: function.injective.linear_ordered_ring._proof_3 0.000868 s: hash_map 0.000293 s: hash_map.cases_on 0.000269 s: hash_map.no_confusion_type 0.015169 s: hash_map.no_confusion 0.000598 s: topological_space.nhds_adjoint.equations._eqn_1 0.000357 s: hyperreal.infinite_neg_def 0.000540 s: category_theory.functor.cocones 0.002582 s: category_theory.limits.cocone.cases_on 0.010926 s: category_theory.limits.cocone.equiv._proof_1 0.001090 s: subalgebra.comap._proof_1 0.003769 s: subalgebra.comap 0.004469 s: turing.TM1to1.tr_normal._main 0.000160 s: turing.TM1to1.tr_normal 0.001881 s: turing.TM1to1.tr_normal._main.equations._eqn_5 0.000556 s: turing.TM1to1.tr_normal.equations._eqn_5 0.000541 s: alg_equiv.of_injective._proof_1 0.000887 s: alg_equiv.of_injective._proof_2 0.001571 s: alg_equiv.of_injective 0.000474 s: alg_equiv.of_injective_field._proof_1 0.002063 s: alg_equiv.of_injective_field 0.000158 s: alg_hom.restrict_normal._proof_1 0.012514 s: minpoly.eq_zero 0.030139 s: minpoly.mem_range_of_degree_eq_one 0.009500 s: polynomial.aeval_map 0.852367 s: alg_hom.restrict_normal_aux._proof_1 1.394742 s: alg_hom.restrict_normal_aux._proof_2 1.567059 s: alg_hom.restrict_normal_aux._proof_3 1.529003 s: alg_hom.restrict_normal_aux._proof_4 1.331035 s: alg_hom.restrict_normal_aux._proof_5 1.336955 s: alg_hom.restrict_normal_aux._proof_6 0.128490 s: alg_hom.restrict_normal_aux 0.052119 s: alg_hom.restrict_normal 0.012014 s: is_scalar_tower.aeval_eq_zero_of_aeval_algebra_map_eq_zero 0.052427 s: is_integral_algebra_map_iff 0.013427 s: is_scalar_tower.to_alg_hom_apply 0.897970 s: alg_hom.normal_bijective 0.056259 s: alg_equiv.restrict_normal._proof_1 0.010636 s: alg_equiv.restrict_normal 0.129774 s: alg_hom.lift_normal._proof_1 0.089768 s: intermediate_field.lifts.exists_upper_bound 0.349502 s: intermediate_field.lifts.lift_of_splits._proof_1 0.717392 s: intermediate_field.lifts.lift_of_splits._proof_2 0.295408 s: intermediate_field.lifts.lift_of_splits._proof_3 0.478376 s: intermediate_field.lifts.lift_of_splits._proof_4 0.981579 s: intermediate_field.lifts.lift_of_splits._proof_5 0.855456 s: intermediate_field.lifts.lift_of_splits 0.734509 s: intermediate_field.lifts.le_lifts_of_splits 0.173354 s: intermediate_field.lifts.mem_lifts_of_splits 0.181212 s: intermediate_field.lifts.exists_lift_of_splits 0.216923 s: intermediate_field.alg_hom_mk_adjoin_splits 0.218584 s: intermediate_field.alg_hom_mk_adjoin_splits' 0.620689 s: alg_hom.lift_normal._proof_2 0.128259 s: alg_hom.lift_normal 0.056409 s: alg_equiv.lift_normal._proof_1 0.011344 s: alg_equiv.lift_normal 0.086872 s: alg_hom.restrict_normal_commutes 0.028082 s: alg_equiv.restrict_normal_commutes 0.162507 s: alg_hom.lift_normal_commutes 0.049863 s: alg_equiv.lift_normal_commutes 0.067975 s: alg_equiv.restrict_lift_normal 0.001611 s: equiv.has_scalar 0.002904 s: equiv.smul_def 0.005923 s: equiv.mul_action._proof_1 0.010202 s: equiv.mul_action._proof_2 0.000324 s: equiv.mul_action 0.000117 s: equiv.has_zero 0.000217 s: equiv.add_comm_monoid._proof_1 0.000234 s: equiv.add_comm_monoid._proof_2 0.000725 s: equiv.add_comm_monoid 0.000277 s: equiv.add_def 0.004614 s: equiv.distrib_mul_action._proof_3 0.000081 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_preserves_limit_pairwise_intersections._proof_1 0.012928 s: lie_module_hom.add_apply 0.000829 s: fintype.sum_eq_single 0.000263 s: tactic.itauto.prop.cases_on 0.000202 s: tactic.itauto.prop.no_confusion_type 0.000811 s: tactic.itauto.prop.no_confusion 0.000134 s: tactic.itauto.prop.var.inj 0.000089 s: tactic.itauto.prop.var.inj_eq 0.003476 s: algebraic_geometry.PresheafedSpace.restrict._proof_1 0.004389 s: algebraic_geometry.PresheafedSpace.restrict 0.001916 s: algebraic_geometry.PresheafedSpace.of_restrict._proof_1 0.002220 s: is_open_map.adjunction._proof_1 0.011090 s: is_open_map.adjunction._proof_2 0.005371 s: is_open_map.adjunction._match_1 0.002274 s: is_open_map.adjunction._proof_3 0.008026 s: is_open_map.adjunction._proof_4 0.040003 s: is_open_map.adjunction._proof_5 0.045207 s: is_open_map.adjunction._proof_6 0.053520 s: is_open_map.adjunction 0.010962 s: algebraic_geometry.PresheafedSpace.of_restrict._proof_2 0.033389 s: algebraic_geometry.PresheafedSpace.of_restrict._proof_3 0.016087 s: algebraic_geometry.PresheafedSpace.of_restrict 0.003399 s: algebraic_geometry.PresheafedSpace.of_restrict_base 0.009162 s: linear_ordered_comm_group.rec_on 0.000068 s: Set.equations._eqn_1 0.000300 s: CommMon.comm_monoid 0.003561 s: category_theory.iso.CommMon_iso_to_mul_equiv 0.009537 s: mul_equiv.to_CommMon_iso._proof_1 0.007661 s: mul_equiv.to_CommMon_iso._proof_2 0.001302 s: mul_equiv.to_CommMon_iso 0.005116 s: mul_equiv_iso_CommMon_iso._proof_2 0.000100 s: string.iterator.next_to_string._main 0.000020 s: string.iterator.next_to_string 0.000080 s: string.iterator.has_next._main 0.000011 s: string.iterator.has_next 0.000067 s: string.iterator.extract._match_1 0.000072 s: string.iterator.extract_core._match_1 0.000325 s: string.iterator.extract_core._main 0.000015 s: string.iterator.extract_core 0.000286 s: string.iterator.extract._main 0.000032 s: string.iterator.extract 0.000203 s: string.iterator.next._main.equations._eqn_1 0.000048 s: string.iterator.next.equations._eqn_1 0.000073 s: string.iterator.next_to_string._main.equations._eqn_1 0.000036 s: string.iterator.next_to_string.equations._eqn_1 0.000257 s: string.length._main.equations._eqn_1 0.000044 s: string.length.equations._eqn_1 0.000094 s: string.iterator.next._main.equations._eqn_2 0.000042 s: string.iterator.next.equations._eqn_2 0.001786 s: string.iterator.length_next_to_string_next 0.001431 s: split_core._main._pack._wf_rec_mk_dec_tactic._aux_1 0.000838 s: split_core._main._pack._wf_rec_mk_dec_tactic._aux_2 0.000187 s: string.iterator.has_next._main.equations._eqn_1 0.000072 s: string.iterator.has_next.equations._eqn_1 0.000107 s: string.iterator.has_next._main.equations._eqn_2 0.000041 s: string.iterator.has_next.equations._eqn_2 0.001566 s: string.iterator.zero_lt_length_next_to_string_of_has_next 0.001665 s: _private.3053508007.split_core._main._pack 0.001584 s: pfunctor.M.head_eq_head' 0.001664 s: ring_equiv.sizeof 0.000195 s: ring_equiv.has_sizeof_inst 0.000451 s: ring_invo.sizeof 0.004319 s: dfinsupp.mem_support_to_fun 0.004615 s: dfinsupp.support_single_ne_zero 0.009992 s: dfinsupp.sum_single_index 0.005463 s: quadratic_form.has_scalar._proof_1 0.003196 s: quadratic_form.polar_smul 0.013966 s: quadratic_form.has_scalar._proof_2 0.017178 s: quadratic_form.has_scalar._proof_3 0.013995 s: quadratic_form.has_scalar._proof_4 0.017829 s: quadratic_form.has_scalar._proof_5 0.006221 s: quadratic_form.has_scalar 0.002270 s: quadratic_form.smul_apply 0.002073 s: quadratic_form.semimodule._proof_1 0.003004 s: quadratic_form.semimodule._proof_2 0.023788 s: quadratic_form.semimodule._proof_3 0.035630 s: quadratic_form.semimodule._proof_4 0.059137 s: quadratic_form.semimodule._proof_5 0.064273 s: quadratic_form.semimodule._proof_6 0.041217 s: quadratic_form.semimodule 0.004250 s: inv_of_mul_self_assoc 0.003602 s: commute.inv_of_right 0.000153 s: commute.bit0_right 0.001818 s: quadratic_form.coe_fn_smul 0.053787 s: quadratic_form.associated_hom._proof_6 0.013894 s: supr_ge_eq_supr_nat_add 0.002152 s: filter.limsup_eq_infi_supr_of_nat' 0.002189 s: set.diff_Inter 0.020574 s: measure_theory.measure_Inter_eq_infi 0.046118 s: tendsto_at_top_cinfi 0.000695 s: order_bot.bdd_below 0.106301 s: tendsto_at_top_infi 0.021111 s: measure_theory.tendsto_measure_Inter 0.087828 s: measure_theory.measure_limsup_eq_zero 0.008606 s: category_theory.limits.mono_factorisation.fac_assoc 0.007474 s: category_theory.limits.mono_factorisation.of_comp_iso._proof_2 0.000268 s: powers_mul_hom._proof_1 0.000191 s: powers_mul_hom._proof_2 0.000269 s: multiplicative.nontrivial 0.002555 s: powers_mul_hom._proof_3 0.000588 s: powers_mul_hom 0.000492 s: powers_mul_hom.equations._eqn_1 0.006968 s: smul_injective 0.034713 s: linear_map.lsmul_injective 0.000456 s: archimedean.cases_on 0.000362 s: pgame.le_lt_decidable._main._pack._proof_10 0.005685 s: tactic_doc._3346619318 0.003684 s: con_gen.rel 0.000998 s: con_gen._proof_1 0.001164 s: con_gen 0.000684 s: con_gen.rel.rec_on 0.016969 s: con.con_gen_eq 0.011906 s: con.con_gen_of_con 0.000189 s: con.con_gen_idem 0.000657 s: frobenius_mul 0.051195 s: _private.148007057.mul_aux_right 0.049426 s: _private.2503949171.mul_aux_left 0.041809 s: perfect_closure.has_mul._proof_1 0.024713 s: perfect_closure.has_mul 0.023362 s: perfect_closure.comm_monoid._match_5 0.005309 s: perfect_closure.comm_monoid._proof_5 0.001108 s: submodule.to_ordered_add_comm_group._proof_5 0.001157 s: homeomorph.homeomorph_of_continuous_open._proof_1 0.000631 s: homeomorph.homeomorph_of_continuous_open 0.005972 s: continuous_sup_dom 0.004050 s: continuous_sum_rec 0.003662 s: homeomorph.sum_prod_distrib._proof_1 0.000999 s: homeomorph.sum_prod_distrib 0.000952 s: homeomorph.sum_prod_distrib.equations._eqn_1 0.000029 s: tactic.unfold_config.proj._default 0.002862 s: category_theory.sigma.incl_map 0.000231 s: bitraversable.tfst 0.000110 s: bifunctor.fst 0.000502 s: bitraversable.tfst.equations._eqn_1 0.000683 s: _private.447073311.pure_eq_id_mk_comp_id 0.003416 s: is_lawful_bitraversable.bitraverse_eq_bimap_id 0.000219 s: bifunctor.fst.equations._eqn_1 0.002274 s: bitraversable.tfst_eq_fst_id 0.000037 s: fin_enum.psigma.fin_enum_prop_prop._proof_2 0.000387 s: roption.to_option.equations._eqn_1 0.001820 s: roption.mem_to_option 0.000248 s: roption.of_to_option 0.000082 s: roption.equiv_option._proof_1 0.002008 s: fin.add_nat._proof_1 0.011109 s: fin.add_nat._proof_2 0.005535 s: fin.add_nat 0.001913 s: fin.coe_add_nat 0.000151 s: prime_multiset.of_nat_multiset 0.000752 s: prime_multiset.of_nat_list 0.003986 s: factors._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001862 s: nat.factors._main._pack 0.000048 s: nat.factors._main 0.000011 s: nat.factors 0.007391 s: nat.prime_of_mem_factors 0.000071 s: pnat.factor_multiset._proof_1 0.000060 s: pnat.factor_multiset 0.000058 s: prime_multiset.of_prime 0.000167 s: pnat.coe_injective 0.000045 s: pnat.comm_monoid._proof_1 0.000056 s: pnat.comm_monoid._proof_2 0.008595 s: pnat.comm_monoid 0.000068 s: prime_multiset.prod 0.000294 s: pnat.eq 0.000135 s: prime_multiset.to_nat_multiset 0.000037 s: prime_multiset.coe_nat 0.000432 s: pnat.mul_coe 0.000160 s: pnat.one_coe 0.005190 s: pnat.coe_mul_hom 0.012521 s: prime_multiset.coe_prod 0.004512 s: prime_multiset.to_of_nat_multiset 0.000897 s: prime_multiset.prod_of_nat_multiset 0.005879 s: prime_multiset.prod_of_nat_list 0.000214 s: nat.div_eq_of_eq_mul_right 0.000102 s: nat.div_eq_iff_eq_mul_right 0.001593 s: nat.div_eq_iff_eq_mul_left 0.000410 s: nat.min_fac_pos 0.017964 s: nat.prod_factors 0.000360 s: pnat.prod_factor_multiset 0.000170 s: multiset.map_injective 0.000370 s: nat.primes.coe_nat_inj 0.000244 s: prime_multiset.coe_nat_injective 0.003443 s: pnat.coe_nat_factor_multiset 0.000445 s: list.perm.fold_op_eq 0.000816 s: list.perm.prod_eq 0.000190 s: nat.coprime_primes 0.008379 s: nat.mem_list_primes_of_dvd_prod 0.025318 s: nat.perm_of_prod_eq_prod 0.016317 s: nat.factors_unique 0.008353 s: prime_multiset.factor_multiset_prod 0.000147 s: pnat.factor_multiset_equiv 0.002059 s: pnat.ordered_cancel_comm_monoid._proof_1 0.005664 s: pnat.ordered_cancel_comm_monoid._proof_2 0.007045 s: pnat.ordered_cancel_comm_monoid._proof_3 0.009000 s: pnat.ordered_cancel_comm_monoid 0.008163 s: prime_multiset.prod_of_prime 0.000811 s: pnat.factor_multiset_of_prime 0.000042 s: tactic.suggest.head_symbol_match.mpr.inj 0.000068 s: tactic.suggest.head_symbol_match.mpr.inj_eq 0.001340 s: pi.algebra._proof_1 0.004325 s: pi.algebra._proof_2 0.001228 s: pi.algebra._proof_3 0.001336 s: pi.algebra._proof_4 0.007679 s: pi.algebra._proof_5 0.004470 s: pi.algebra 0.001313 s: equiv.sigma_prod_distrib._proof_1 0.118291 s: smooth_bump_function.has_coe_to_fun.equations._eqn_1 0.000080 s: imp_imp_imp 0.000265 s: parser.any_char 0.000107 s: parser.any_char.equations._eqn_1 0.019054 s: parser.any_char_eq_fail 0.000604 s: denoms_clearable 0.001293 s: polynomial.erase_lead_add_C_mul_X_pow 0.006123 s: polynomial.erase_lead_degree_le 0.000858 s: polynomial.erase_lead_nat_degree_le 0.001653 s: polynomial.nat_degree_C_mul_X_pow_le 0.001293 s: polynomial.nat_degree_mem_support_of_nonzero 0.002440 s: polynomial.erase_lead_card_support 0.010672 s: polynomial.induction_with_nat_degree_le 0.005892 s: denoms_clearable_zero 0.020736 s: denoms_clearable_C_mul_X_pow 0.000861 s: inv_unique 0.009673 s: denoms_clearable.add 0.003268 s: denoms_clearable_of_nat_degree_le 0.004766 s: denoms_clearable_nat_degree 0.002129 s: int.cast_ne_zero 0.002410 s: int.cast_pos 0.006403 s: eq_one_div_of_mul_eq_one_left 0.958906 s: one_le_pow_mul_abs_eval_div 0.000075 s: slim_check.named_binder 0.000096 s: slim_check.named_binder.equations._eqn_1 0.000087 s: not_and_of_not_right 0.057148 s: slim_check.test_forall_in_list._match_2 0.002883 s: slim_check.test_forall_in_list._match_2._proof_1 0.006942 s: slim_check.test_forall_in_list._match_2.equations._eqn_3 0.000177 s: fin_one_equiv._match_1 0.052108 s: ordered_comm_ring.cases_on 0.041483 s: ordered_comm_ring.no_confusion_type 0.028856 s: ordered_comm_ring.no_confusion 0.000260 s: is_idempotent.dcases_on 0.022879 s: linear_equiv.smul_of_unit._proof_1 0.012325 s: linear_map.smul_comp 0.022951 s: linear_map.comp_smul 0.069402 s: linear_equiv.smul_of_unit._proof_2 0.058343 s: linear_equiv.smul_of_unit._proof_3 0.019219 s: linear_equiv.smul_of_unit 0.000420 s: category_theory.monad.algebra.category_theory.category_struct.equations._eqn_1 0.000086 s: linarith.ineq.cmp._main.equations._eqn_8 0.000184 s: ring_quot.mk.inj_arrow 0.000912 s: coe.is_monoid_hom 0.002190 s: coe.is_monoid_hom.equations._eqn_1 0.000465 s: category_theory.monoidal.transported.category 0.001635 s: category_theory.monoidal.lax_to_transported._proof_1 0.001022 s: category_theory.monoidal.lax_to_transported._proof_2 0.053882 s: category_theory.monoidal.lax_to_transported._proof_3 0.144039 s: category_theory.monoidal.lax_to_transported._proof_4 0.093762 s: category_theory.monoidal.lax_to_transported._proof_5 0.070997 s: category_theory.monoidal.lax_to_transported._proof_6 0.037062 s: category_theory.monoidal.lax_to_transported 0.013020 s: category_theory.monoidal.lax_to_transported_to_functor_map 0.000060 s: Class 0.005104 s: pSet.mem.congr_right 0.001670 s: Set.mem._proof_1 0.000324 s: Set.mem 0.000324 s: Set.has_mem 0.000417 s: Class.of_Set 0.000465 s: Class.has_coe 0.000306 s: Class.to_Set 0.000116 s: Class.mem 0.000213 s: Class.has_mem 0.000123 s: Class.Class_to_Cong 0.000127 s: Class.Union 0.000129 s: Class.iota 0.000217 s: pSet.insert._main 0.000039 s: pSet.insert 0.001867 s: Set.insert._match_2 0.001059 s: Set.insert._match_1 0.000558 s: Set.insert._match_4 0.000644 s: Set.insert._match_3 0.001859 s: Set.insert._match_5 0.000421 s: Set.insert._match_6 0.000556 s: Set.insert._match_7 0.000662 s: Set.insert._proof_1 0.005417 s: Set.insert 0.000113 s: Set.has_insert 0.000162 s: pSet.empty._match_1 0.000069 s: pSet.empty 0.000055 s: pSet.has_emptyc 0.000086 s: Set.empty 0.000030 s: Set.has_emptyc 0.000177 s: Set.has_singleton 0.000130 s: Set.pair 0.000140 s: Class.fval 0.000242 s: has_seq.cases_on 0.000351 s: has_seq.no_confusion_type 0.000673 s: has_seq.no_confusion 0.000499 s: format.color.to_string._main.equations._eqn_2 0.007609 s: subsemiring.to_comm_semiring.equations._eqn_1 0.000514 s: parser.foldr.equations._eqn_1 0.005088 s: parser.foldr_core._main.equations._eqn_2 0.000933 s: parser.foldr_core.equations._eqn_2 0.001821 s: parser.pure_ne_fail 0.011824 s: parser.foldr_core_succ_eq_fail 0.000343 s: parser.foldr_core._main.equations._eqn_1 0.000186 s: parser.foldr_core.equations._eqn_1 0.001470 s: parser.foldr_core_zero_eq_fail 0.000499 s: ne_iff_lt_iff_le 0.011466 s: parser.foldr_eq_fail_iff_mono_at_end 0.070403 s: category_theory.over.iterated_slice_forward._proof_3 0.011218 s: filter.frequently_comap 0.003051 s: closure_induced 0.002005 s: inducing.closure_eq_preimage_closure_image 0.000498 s: embedding.closure_eq_preimage_closure_image 0.007948 s: filter.sInter_comap_sets 0.000131 s: filter.map_id' 0.004116 s: uniformity_translate 0.013974 s: uniform_embedding_translate 0.014198 s: group_separation_rel 0.066056 s: uniform_space.ring_sep_rel 0.000136 s: onote.NF.drec_on 0.000124 s: ordnode.valid 0.000030 s: ordset 0.001539 s: ordset.nil._proof_1 0.000322 s: ordset.nil 0.000144 s: ordset.has_emptyc 0.000092 s: ordset.empty 0.000278 s: ordnode.empty._main 0.000121 s: ordnode.empty 0.012508 s: ordset.empty_iff 0.000546 s: ordset.empty.decidable_pred 0.005367 s: category_theory.triangulated.triangle_morphism.sizeof 0.000845 s: local_equiv.copy._proof_4 0.001409 s: ordinal.typein_iso._proof_2 0.000312 s: list.update_nth._main 0.000024 s: list.update_nth 0.000347 s: list.update_nth_nil 0.000222 s: list.update_nth._main.equations._eqn_2 0.000085 s: list.update_nth.equations._eqn_2 0.000491 s: list.update_nth._main.equations._eqn_3 0.000090 s: list.update_nth.equations._eqn_3 0.005889 s: list.update_nth_comm 0.003826 s: free_abelian_group.monad 0.007213 s: free_abelian_group.map_zero 0.008578 s: free_group.red.step.length 0.009988 s: free_group.red.length 0.090599 s: free_group.red.antisymm 0.000322 s: pos_num.size._main 0.000029 s: pos_num.size 0.000048 s: num.size._main 0.000031 s: num.size 0.001011 s: nat.size_zero 0.000485 s: nat.size_bit1 0.000769 s: nat.size_one 0.013069 s: pos_num.size._main.equations._eqn_2 0.000067 s: pos_num.size.equations._eqn_2 0.003606 s: pos_num.size._main.equations._eqn_3 0.000055 s: pos_num.size.equations._eqn_3 0.000291 s: nat.size_bit0 0.004137 s: pos_num.size_to_nat 0.006393 s: num.size_to_nat 0.000410 s: primcodable.of_equiv._proof_1 0.003547 s: primcodable.of_equiv._proof_2 0.000265 s: primcodable.of_equiv 0.000183 s: equiv.vector_equiv_fin 0.000093 s: primcodable.fin_arrow 0.000083 s: primcodable.array 0.000135 s: prime_multiset.semilattice_sup_bot 0.012142 s: pnat.lcm._proof_1 0.000132 s: pnat.lcm 0.000085 s: prime_multiset.canonically_ordered_add_monoid 0.000144 s: prime_multiset.has_sub 0.014944 s: prime_multiset.coe_pnat_hom 0.002830 s: prime_multiset.prod_add 0.004862 s: prime_multiset.add_sub_of_le 0.000549 s: pnat.mod_div_aux._main 0.000033 s: pnat.mod_div_aux 0.000146 s: pnat.mod_div 0.000226 s: pnat.div 0.000085 s: pnat.div_exact._proof_1 0.000100 s: pnat.div_exact 0.000080 s: pnat.mod 0.010909 s: pnat.mod_div_aux_spec 0.012198 s: pnat.mod_add_div 0.001844 s: pnat.div_add_mod 0.000539 s: pnat.coe_inj 0.013326 s: pnat.dvd_iff 0.001705 s: pnat.mod_coe 0.002688 s: pnat.dvd_iff' 0.000549 s: pnat.mul_div_exact 0.001460 s: pnat.factor_multiset_mul 0.006548 s: pnat.factor_multiset_le_iff 0.000313 s: pnat.factor_multiset_le_iff' 0.000221 s: prime_multiset.prod_dvd_iff 0.000980 s: pnat.lcm_dvd 0.000632 s: pnat.dvd_lcm_left 0.000492 s: pnat.dvd_lcm_right 0.007126 s: pnat.factor_multiset_lcm 0.001283 s: prime_multiset.prod_sup 0.000283 s: ultrafilter.no_confusion_type 0.000918 s: ultrafilter.no_confusion 0.004163 s: category_theory.comonad.coalgebra.hom.id._proof_1 0.000315 s: category_theory.comonad.coalgebra.hom.id 0.000875 s: category_theory.comonad.coalgebra.hom.f 0.002305 s: category_theory.comonad.coalgebra.hom.h 0.007829 s: category_theory.comonad.coalgebra.hom.h_assoc 0.005308 s: category_theory.comonad.coalgebra.hom.comp._proof_1 0.000678 s: category_theory.comonad.coalgebra.hom.comp 0.000318 s: category_theory.comonad.coalgebra.category_theory.category_struct 0.002386 s: category_theory.comonad.coalgebra.hom.cases_on 0.005609 s: category_theory.comonad.coalgebra.hom.ext 0.002366 s: category_theory.comonad.coalgebra.EilenbergMoore._proof_1 0.001325 s: category_theory.comonad.coalgebra.EilenbergMoore._proof_2 0.002789 s: category_theory.comonad.coalgebra.EilenbergMoore._proof_3 0.004212 s: category_theory.comonad.coalgebra.EilenbergMoore 0.006244 s: category_theory.comonad.left_counit' 0.001784 s: category_theory.comonad.left_counit 0.010054 s: category_theory.comonad.cofree._proof_1 0.005237 s: category_theory.comonad.coassoc' 0.002578 s: category_theory.comonad.coassoc 0.008388 s: category_theory.comonad.cofree._proof_2 0.005171 s: category_theory.comonad.cofree._proof_3 0.003029 s: category_theory.comonad.cofree._proof_4 0.012206 s: category_theory.comonad.cofree._proof_5 0.003085 s: category_theory.comonad.cofree._proof_6 0.002645 s: category_theory.comonad.cofree._proof_7 0.048222 s: category_theory.comonad.cofree._proof_8 0.070421 s: category_theory.comonad.cofree._proof_9 0.019823 s: category_theory.comonad.cofree 0.000741 s: category_theory.comonad.forget._proof_1 0.003226 s: category_theory.comonad.forget._proof_2 0.002697 s: category_theory.comonad.forget 0.004523 s: category_theory.comonad.cofree_obj_a 0.005734 s: category_theory.comonad.right_counit' 0.005116 s: category_theory.comonad.right_counit 0.031712 s: category_theory.comonad.adj._proof_3 0.000498 s: with_top.conditionally_complete_lattice._proof_6 0.004653 s: category_theory.limits.cocone_morphism.sizeof 0.005110 s: multiset.decidable_dexists_multiset.equations._eqn_1 0.122330 s: mv_polynomial.quotient_map_C_eq_zero 0.000917 s: category_theory.functorial.map_id 0.000202 s: generalized_continued_fraction.sizeof 0.000479 s: pilex.has_lt.equations._eqn_1 0.000659 s: measure_theory.outer_measure.caratheodory.equations._eqn_1 0.000338 s: pythagorean_triple.is_primitive_classified 0.029223 s: nat.not_coprime_of_dvd_of_dvd 0.001996 s: int.dvd_nat_abs_of_of_nat_dvd 0.001072 s: exists_eq_mul_left_of_dvd 0.012350 s: int.dvd_sub_of_mod_eq 0.000123 s: int.range 0.000226 s: sub_lt_sub_right 0.101107 s: int.mem_range_iff 0.011031 s: int.decidable_le_lt._proof_1 0.000245 s: int.decidable_le_lt 0.000068 s: pythagorean_triple.eq 0.070113 s: pythagorean_triple.even_odd_of_coprime 0.008764 s: int.gcd_zero_right 0.002096 s: norm_num.nat_abs_pos 0.001786 s: int.gcd_zero_left 0.240783 s: pythagorean_triple.is_primitive_classified_of_coprime_of_zero_left 0.237477 s: circle_equiv_gen._proof_1 0.456533 s: circle_equiv_gen._proof_2 0.206432 s: circle_equiv_gen._proof_3 0.034966 s: circle_equiv_gen 0.000670 s: lt_add_of_pos_of_le 0.002791 s: divp_eq_div 0.000793 s: divp_mk0 0.000197 s: divp_left_inj 0.002998 s: div_left_inj' 0.001296 s: rat.div_int_inj 0.002430 s: nat.prime.not_coprime_iff_dvd 0.004212 s: nat.prime.dvd_of_dvd_pow 0.002615 s: int.prime.dvd_nat_abs_of_coe_dvd_pow_two 0.048901 s: pythagorean_triple.coprime_of_coprime 0.277749 s: pythagorean_triple.is_primitive_classified_aux 0.031715 s: int.prime.dvd_mul 0.022344 s: prime_two_or_dvd_of_dvd_two_mul_pow_self_two 0.237543 s: _private.3970938221.coprime_pow_two_sub_pow_two_add_of_even_odd 0.000094 s: int.gcd_comm 0.092360 s: _private.2766982065.coprime_pow_two_sub_pow_two_add_of_odd_even 0.110170 s: _private.861166013.coprime_pow_two_sub_pow_two_sum_of_odd_odd 0.774607 s: pythagorean_triple.is_primitive_classified_of_coprime_of_odd_of_pos 0.001075 s: pythagorean_triple_comm 0.000096 s: pythagorean_triple.symm 0.008944 s: pythagorean_triple.is_primitive_classified_of_coprime_of_pos 0.000092 s: pythagorean_triple.equations._eqn_1 0.002433 s: int.ne_zero_of_gcd 0.082184 s: pythagorean_triple.ne_zero_of_coprime 0.033644 s: pythagorean_triple.is_primitive_classified_of_coprime 0.000488 s: list.tails._main 0.000055 s: list.tails 0.002174 s: pos_of_mul_pos_right 0.001167 s: inv_of_nonneg 0.006524 s: inv_of_lt_zero 0.010658 s: add_le_of_le_of_nonpos 0.000547 s: wseq.tail.aux._main 0.000106 s: wseq.tail.aux 0.000632 s: wseq.drop.aux._main 0.000538 s: wseq.drop.aux._main.equations._eqn_1 0.003803 s: ordered_comm_group.sizeof 0.000076 s: ordered_comm_group.has_sizeof_inst 0.003492 s: is_CHSH_tuple.mk.inj_arrow 0.000199 s: mvqpf.pi.inhabited 0.000262 s: mvqpf.pi.inhabited.equations._eqn_1 0.000353 s: euclidean_geometry.angle 0.021602 s: real_inner_div_norm_mul_norm_eq_one_iff 0.011557 s: inner_product_geometry.angle_eq_zero_iff 0.000249 s: euclidean_geometry.cospherical_def 0.001783 s: midpoint_vsub_left 0.008931 s: affine_map.comp._proof_1 0.003677 s: affine_map.comp 0.013600 s: affine_map.comp_line_map 0.017594 s: affine_map.line_map_apply_one 0.016902 s: affine_map.line_map_apply_zero 0.014785 s: affine_map.line_map_symm 0.005253 s: affine_map.comp_apply 0.025331 s: affine_map.line_map_apply_one_sub 0.007710 s: units.mul_right_inj 0.001455 s: is_unit.mul_right_inj 0.004559 s: one_sub_inv_of_two 0.008188 s: midpoint_comm 0.001597 s: right_vsub_midpoint 0.002289 s: eq_inv_smul_iff' 0.471539 s: inner_product_geometry.mul_norm_eq_abs_sub_sq_norm 0.191326 s: euclidean_geometry.mul_dist_eq_abs_sub_sq_dist 0.029056 s: euclidean_geometry.mul_dist_eq_mul_dist_of_cospherical 0.127396 s: euclidean_geometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero 0.000611 s: ordnode.find_max'._main 0.000025 s: ordnode.find_max' 0.000248 s: ordnode.find_min'._main 0.000023 s: ordnode.find_min' 0.026158 s: ordnode.find_min'_dual 0.000226 s: ordnode.find_max'_dual 0.000022 s: AddMagma 0.000123 s: AddMagma.has_coe_to_sort 0.000098 s: AddMagma.of 0.000468 s: AddMagma.coe_of 0.001306 s: measure_theory.simple_func.fin_meas_supp.map₂ 0.000876 s: measure_theory.simple_func.fin_meas_supp.add 0.000724 s: rel_embedding.to_rel_hom_eq_coe 0.001283 s: continuous_linear_map.flipₗᵢ._proof_24 0.075380 s: measure_theory.mem_ℒp_zero_iff_ae_measurable 0.000848 s: measure_theory.coe_nnnorm_ae_le_snorm_ess_sup 0.046832 s: measure_theory.snorm'_le_snorm_ess_sup_mul_rpow_measure_univ 0.000112 s: real.conjugate_exponent.equations._eqn_1 0.310098 s: ennreal.lintegral_Lp_mul_le_Lq_mul_Lr 0.252172 s: measure_theory.snorm'_le_snorm'_mul_rpow_measure_univ 0.386782 s: measure_theory.snorm'_lt_top_of_snorm'_lt_top_of_exponent_le 0.099153 s: measure_theory.mem_ℒp.mem_ℒp_of_exponent_le 0.009480 s: cau_seq.has_mul._match_1.equations._eqn_1 0.013236 s: pi_tensor_product.eqv 0.000243 s: pi_tensor_product 0.000923 s: pi_tensor_product.add_comm_monoid._proof_1 0.000638 s: pi_tensor_product.add_comm_monoid._proof_2 0.000587 s: pi_tensor_product.add_comm_monoid._proof_3 0.000906 s: pi_tensor_product.add_comm_monoid._proof_4 0.000799 s: pi_tensor_product.add_comm_monoid._proof_5 0.004400 s: pi_tensor_product.add_comm_monoid._proof_6 0.002520 s: pi_tensor_product.add_comm_monoid 0.004280 s: pi_tensor_product.eqv.dcases_on 0.019419 s: pi_tensor_product.lift_add_hom._match_1 0.004693 s: pi_tensor_product.lift_add_hom._proof_1 0.003587 s: pi_tensor_product.lift_add_hom 0.001032 s: pi_tensor_product.tprod_coeff 0.001945 s: pi_tensor_product.zero_tprod_coeff' 0.003266 s: pi_tensor_product.has_scalar'._proof_1 0.002141 s: pi_tensor_product.zero_tprod_coeff 0.004973 s: pi_tensor_product.has_scalar'._proof_2 0.003027 s: pi_tensor_product.add_tprod_coeff 0.004185 s: pi_tensor_product.has_scalar'._proof_3 0.002799 s: pi_tensor_product.add_tprod_coeff' 0.004638 s: pi_tensor_product.has_scalar'._proof_4 0.002240 s: pi_tensor_product.smul_tprod_coeff_aux 0.007104 s: pi_tensor_product.smul_tprod_coeff 0.014602 s: pi_tensor_product.has_scalar'._proof_5 0.005455 s: pi_tensor_product.has_scalar' 0.004820 s: pi_tensor_product.induction_on' 0.006168 s: pi_tensor_product.smul_tprod_coeff' 0.005605 s: pi_tensor_product.smul_add 0.008823 s: pi_tensor_product.semimodule'._proof_1 0.010441 s: pi_tensor_product.semimodule'._proof_2 0.002788 s: pi_tensor_product.semimodule'._proof_3 0.007168 s: pi_tensor_product.semimodule'._proof_4 0.065504 s: pi_tensor_product.semimodule'._proof_5 0.068703 s: pi_tensor_product.semimodule'._proof_6 0.030532 s: pi_tensor_product.semimodule' 0.006077 s: pi_tensor_product.semimodule 0.008599 s: pi_tensor_product.lift._proof_1 0.009012 s: _private.2676441349.tmul_symm._proof_1 0.008764 s: pi_tensor_product.lift._proof_2 0.006726 s: _private.2676441349.tmul_symm._proof_2 0.007525 s: pi_tensor_product.lift._proof_3 0.009447 s: pi_tensor_product.lift._proof_4 0.004629 s: pi_tensor_product.lift_aux._proof_1 0.003779 s: pi_tensor_product.lift_aux._proof_2 0.005285 s: pi_tensor_product.lift_aux._proof_3 0.003739 s: pi_tensor_product.lift_aux._proof_4 0.010031 s: pi_tensor_product.lift_aux._proof_5 0.004579 s: pi_tensor_product.lift_aux 0.002126 s: pi_tensor_product.lift._proof_5 0.000554 s: pi_tensor_product.has_scalar 0.006790 s: pi_tensor_product.lift_aux.equations._eqn_1 0.004212 s: pi_tensor_product.lift_add_hom.equations._eqn_1 0.001592 s: pi_tensor_product.tprod_coeff.equations._eqn_1 0.002317 s: add_con.lift_mk' 0.016373 s: pi_tensor_product.lift_aux_tprod_coeff 0.019367 s: pi_tensor_product.lift_aux.smul 0.003873 s: pi_tensor_product.lift._proof_6 0.001646 s: pi_tensor_product.tprod._proof_1 0.011267 s: pi_tensor_product.tprod._proof_2 0.002975 s: pi_tensor_product.tprod 0.014552 s: pi_tensor_product.tprod_coeff_eq_smul_tprod 0.002730 s: multilinear_map.congr_fun 0.014806 s: pi_tensor_product.ext 0.005108 s: pi_tensor_product.tprod.equations._eqn_1 0.029656 s: pi_tensor_product.lift_aux_tprod 0.056022 s: pi_tensor_product.lift._proof_7 0.067734 s: pi_tensor_product.lift._proof_8 0.011782 s: linear_map.comp_multilinear_map.equations._eqn_1 0.029851 s: pi_tensor_product.lift._proof_9 0.036882 s: pi_tensor_product.lift._proof_10 0.024745 s: pi_tensor_product.lift 0.012741 s: _private.2676441349.tmul_symm 0.011211 s: pi_tensor_product.lift.tprod 0.025957 s: _private.1178417787.tmul_symm_apply 0.000187 s: category_theory.monoidal_of_has_finite_coproducts._proof_1 0.000097 s: category_theory.monoidal_of_has_finite_coproducts._proof_2 0.000063 s: category_theory.monoidal_of_has_finite_coproducts._proof_3 0.004261 s: category_theory.monoidal_of_has_finite_coproducts._proof_4 0.002020 s: category_theory.monoidal_of_has_finite_coproducts._proof_5 0.002913 s: category_theory.limits.coprod.associator_hom 0.009305 s: category_theory.limits.coprod.associator_naturality 0.006729 s: category_theory.monoidal_of_has_finite_coproducts._proof_6 0.003948 s: category_theory.monoidal_of_has_finite_coproducts._proof_7 0.024618 s: category_theory.limits.coprod.pentagon 0.008390 s: category_theory.monoidal_of_has_finite_coproducts 0.000113 s: category_theory.limits.coprod.braiding._proof_1 0.000092 s: category_theory.limits.coprod.braiding._proof_2 0.000132 s: category_theory.limits.coprod.braiding._proof_3 0.000068 s: category_theory.limits.coprod.braiding._proof_4 0.000065 s: category_theory.limits.coprod.braiding._proof_5 0.000066 s: category_theory.limits.coprod.braiding._proof_6 0.000089 s: category_theory.limits.coprod.braiding._proof_7 0.000081 s: category_theory.limits.coprod.braiding._proof_8 0.000065 s: category_theory.limits.coprod.braiding._proof_9 0.000076 s: category_theory.limits.coprod.braiding._proof_10 0.003220 s: category_theory.limits.coprod.braiding._proof_11 0.002318 s: category_theory.limits.coprod.braiding._proof_12 0.001889 s: category_theory.limits.coprod.braiding 0.039057 s: category_theory.symmetric_of_has_finite_coproducts._proof_2 0.005872 s: finset.nonempty.image_iff 0.000162 s: onote.of_nat._main 0.000028 s: onote.of_nat 0.000839 s: onote.NF_below_of_nat 0.000147 s: onote.NF_of_nat 0.000050 s: turing.fin_tm2.σ.inhabited 0.004515 s: formal_multilinear_series.add_comm_group 0.002587 s: has_fpower_series_on_ball.r_pos 0.003170 s: has_fpower_series_on_ball.r_le 0.002730 s: has_fpower_series_on_ball.has_sum 0.001375 s: has_fpower_series_on_ball.mono 0.001530 s: has_fpower_series_at.eventually 0.000355 s: asymptotics.is_o.trans 0.000249 s: asymptotics.is_o.of_norm_right 0.000287 s: asymptotics.is_o.of_norm_left 0.067723 s: is_o_pow_pow_of_abs_lt_left 0.009360 s: asymptotics.bound_of_is_O_nat_at_top 0.056386 s: pow_bit1_neg_iff 0.013593 s: pow_bit1_nonneg_iff 0.004752 s: filter.tendsto_at_top_add_nonneg_right' 0.000509 s: filter.tendsto_at_top_add_nonneg_right 0.000465 s: filter.tendsto_at_top_add 0.000268 s: filter.tendsto_bit0_at_top 0.011978 s: filter.tendsto_bit1_at_top 0.025667 s: filter.nonneg_of_eventually_pow_nonneg 0.481966 s: tfae_exists_lt_is_o_pow 0.006805 s: formal_multilinear_series.radius.equations._eqn_1 0.260064 s: formal_multilinear_series.is_o_of_lt_radius 0.032076 s: formal_multilinear_series.is_o_one_of_lt_radius 0.103516 s: formal_multilinear_series.min_radius_le_radius_add 0.028968 s: has_fpower_series_on_ball.add 0.004551 s: has_fpower_series_at.add 0.000043 s: char.has_to_string 0.000037 s: char.has_to_string.equations._eqn_1 0.007282 s: real.tan_ne_zero_iff 0.000905 s: real.tan_eq_zero_iff 0.000144 s: real.tan_int_mul_pi_div_two 0.063694 s: category_theory.functor.functoriality_comp_postcompose._proof_2 0.000339 s: slim_check.convert_counter_example._sunfold 0.001590 s: linear_equiv.inv_fun_eq_symm 0.000383 s: discrete_valuation_ring.to_local_ring 0.011217 s: tactic_doc._435693476 0.002218 s: subgroup.coe_gpow 0.006978 s: subgroup.is_cyclic._match_2 0.007399 s: subgroup.is_cyclic._match_2.equations._eqn_1 0.000398 s: tactic.itauto.prop.sizeof 0.000205 s: int.lt_add_of_sub_right_lt 0.000447 s: int.lt_add_of_neg_add_lt_right 0.016227 s: category_theory.functor.map_arrow._proof_1 0.034925 s: category_theory.functor.map_arrow._proof_2 0.081031 s: category_theory.functor.map_arrow._proof_3 0.019940 s: category_theory.functor.map_arrow 0.003720 s: category_theory.functor.map_arrow_obj_left 0.000279 s: category_theory.pairwise.hom.sizeof 0.000287 s: category_theory.pairwise.hom.right.sizeof_spec 0.006743 s: multilinear_map.distrib_mul_action.equations._eqn_1 0.000049 s: rat.comm_semiring.equations._eqn_1 0.000219 s: is_subring.cases_on 0.000587 s: equiv.integral_domain._proof_2 0.000433 s: function.bicompr.bifunctor 0.000167 s: bicompr.bitraverse 0.000216 s: function.bicompr.bitraversable 0.000259 s: bicompr.bitraverse.equations._eqn_1 0.002262 s: is_lawful_bitraversable.comp_bitraverse 0.002973 s: is_lawful_bitraversable.bitraverse_comp 0.001833 s: traversable.traverse_comp 0.004019 s: function.bicompr.is_lawful_bitraversable._proof_2 0.001568 s: is_subgroup.gpow_mem 0.000654 s: is_add_submonoid.dcases_on 0.002759 s: multiplicative.is_submonoid 0.009086 s: multiplicative.is_subgroup 0.000486 s: is_add_subgroup.gsmul_mem 0.001051 s: submonoid.to_linear_ordered_cancel_comm_monoid._proof_3 0.000097 s: mul_action.orbit 0.000530 s: mul_action.mem_orbit_self 0.002159 s: mul_action.orbit_eq_iff 0.002606 s: mul_action.orbit_rel._proof_1 0.000381 s: mul_action.orbit_rel 0.000561 s: mul_action.orbit_rel.equations._eqn_1 0.007548 s: ennreal.mul_div_cancel 0.001587 s: ennreal.mul_div_cancel' 0.034907 s: ennreal.mul_div_le 0.008654 s: submonoid.localization_map.cases_on 0.001317 s: submonoid.localization_map.no_confusion_type 0.001771 s: submonoid.localization_map.no_confusion 0.003610 s: submonoid.localization_map.mk.inj 0.006290 s: submonoid.localization_map.mk.inj_eq 0.003335 s: submonoid.localization_map.ext 0.000643 s: submonoid.localization_map.to_map_injective 0.010577 s: floor_eq_iff 0.001368 s: floor_ring_unique 0.001130 s: continuous_linear_map.of_homothety._proof_1 0.002172 s: continuous_linear_map.of_homothety 0.000531 s: linear_map.to_span_singleton._proof_1 0.002099 s: linear_map.to_span_singleton 0.005573 s: continuous_linear_map.to_span_singleton_homothety 0.111936 s: continuous_linear_map.to_span_singleton 0.077718 s: continuous_linear_map.to_span_singleton.equations._eqn_1 0.009465 s: category_theory.limits.preserves_limits_of_shape_subsingleton.equations._eqn_1 0.000156 s: rat.num_one 0.000072 s: rat.denom_one 0.016621 s: padic_val_rat.one 0.013149 s: padic_val_rat.inv 0.074806 s: padic_val_rat.padic_val_rat_self 0.073676 s: padic_norm_e.padic.nondiscrete_normed_field._proof_1 0.000262 s: padic_norm_e.padic.nondiscrete_normed_field 0.010022 s: category_theory.monad.forget_faithful 0.001943 s: local_equiv.sizeof 0.000050 s: local_equiv.has_sizeof_inst 0.000703 s: local_homeomorph.sizeof 0.000116 s: local_homeomorph.has_sizeof_inst 0.002478 s: bundle_trivialization.sizeof 0.000151 s: bundle_trivialization.has_sizeof_inst 0.002804 s: topological_vector_bundle.trivialization.sizeof 0.002441 s: topological_vector_bundle.trivialization.mk.sizeof_spec 0.000278 s: category_theory.limits.walking_pair.equiv_bool._proof_2 0.000293 s: Lim_nhds 0.004135 s: lim_nhds_id 0.015940 s: semilattice_inf.dual_dual 0.004247 s: fin_enum.pi.cons._main 0.000245 s: fin_enum.pi.cons 0.000234 s: category_theory.center.equations._eqn_1 0.000094 s: function.bicompl 0.000524 s: hahn_series.ring._proof_1 0.000468 s: hahn_series.ring._proof_3 0.000844 s: hahn_series.ring._proof_5 0.000538 s: hahn_series.add_comm_group._proof_1 0.000351 s: hahn_series.add_comm_group._proof_2 0.000327 s: hahn_series.add_comm_group._proof_3 0.000525 s: hahn_series.add_comm_group._proof_4 0.000402 s: hahn_series.add_comm_group._proof_5 0.000919 s: hahn_series.add_comm_group._proof_6 0.000716 s: hahn_series.add_comm_group._proof_7 0.000281 s: hahn_series.add_comm_group._proof_8 0.015323 s: hahn_series.add_comm_group 0.001985 s: hahn_series.ring._proof_6 0.000884 s: hahn_series.ring._proof_7 0.000454 s: hahn_series.ring._proof_8 0.000333 s: hahn_series.ring._proof_9 0.000316 s: hahn_series.ring._proof_10 0.000573 s: hahn_series.ring._proof_12 0.000448 s: hahn_series.ring._proof_13 0.000305 s: hahn_series.ring._proof_14 0.000426 s: hahn_series.ring._proof_15 0.024394 s: hahn_series.ring 0.000429 s: set.is_wf.min._proof_1 0.000944 s: set.is_wf.min 0.007988 s: hahn_series.support_nonempty_iff 0.026126 s: hahn_series.add_val._proof_3 0.000194 s: num.add._main.equations._eqn_1 0.000102 s: slim_check.printable_prop.print_prop 0.000208 s: slim_check.iff.printable_prop 0.000344 s: slim_check.convert_counter_example._main.equations._eqn_3 0.011645 s: algebra.gi.equations._eqn_1 0.014377 s: category_theory.comonad_hom 0.002026 s: category_theory.comonad.category._proof_1 0.004834 s: category_theory.comonad.category._proof_2 0.003158 s: category_theory.comonad_hom.to_nat_trans 0.002950 s: category_theory.comonad.category._proof_3 0.003489 s: category_theory.comonad_hom.app_ε 0.009148 s: category_theory.comonad.category._proof_4 0.007837 s: category_theory.comonad_hom.app_δ 0.007094 s: category_theory.comonad_hom.app_δ_assoc 0.016507 s: category_theory.comonad.category._proof_5 0.007185 s: category_theory.comonad_hom.cases_on 0.007679 s: category_theory.comonad_hom.ext 0.106039 s: category_theory.comonad.category._proof_6 0.113547 s: category_theory.comonad.category._proof_7 0.008068 s: category_theory.comonad_hom.no_confusion_type 0.002840 s: category_theory.comonad_hom.no_confusion 0.006630 s: category_theory.comonad_hom.mk.inj 0.010016 s: category_theory.comonad_hom.mk.inj_eq 0.105203 s: category_theory.comonad.category._proof_8 0.041663 s: category_theory.comonad.category 0.001761 s: category_theory.comonad_to_functor._proof_1 0.005328 s: category_theory.comonad_to_functor._proof_2 0.004663 s: category_theory.comonad_to_functor 0.000907 s: category_theory.comonad_iso.to_nat_iso 0.000041 s: vm_decl_kind.bytecode.inj 0.000036 s: vm_decl_kind.bytecode.inj_eq 0.000040 s: Fintype 0.000160 s: Fintype.has_coe_to_sort 0.000493 s: Fintype.fintype 0.000152 s: Fintype.fintype.equations._eqn_1 0.000235 s: rbnode.find._sunfold 0.000336 s: monad_run 0.009671 s: ideal.subset_union 0.001567 s: supr_emptyset 0.001973 s: set.bUnion_empty 0.001917 s: finset.card_eq_succ 0.000428 s: finset.insert_subset_insert 0.000401 s: submodule.comm_semiring._proof_1 0.000265 s: submodule.comm_semiring._proof_2 0.000304 s: submodule.comm_semiring._proof_3 0.000527 s: submodule.comm_semiring._proof_4 0.000351 s: submodule.comm_semiring._proof_6 0.000270 s: submodule.comm_semiring._proof_7 0.000231 s: submodule.comm_semiring._proof_8 0.000400 s: submodule.comm_semiring._proof_9 0.000807 s: submodule.comm_semiring._proof_10 0.000507 s: submodule.comm_semiring._proof_11 0.000316 s: submodule.comm_semiring._proof_12 0.000255 s: submodule.comm_semiring._proof_13 0.000362 s: submodule.comm_semiring._proof_14 0.000280 s: submodule.comm_semiring._proof_15 0.003690 s: submodule.comm_semiring 0.033009 s: ideal.comm_semiring 0.096038 s: ideal.prod_le_inf 0.016419 s: finset.insert.comm 0.000466 s: finset.mem_of_mem_insert_of_ne 0.073234 s: ideal.is_prime.prod_le 0.021428 s: ideal.is_prime.inf_le' 0.044052 s: ideal.subset_union_prime' 0.000327 s: set.union_self 0.024934 s: ideal.subset_union_prime 0.005004 s: category_theory.limits.comp_nat_iso._match_1.equations._eqn_2 0.000986 s: localization_map.is_integer_zero 0.060086 s: ring.fractional_ideal.is_fractional_span_iff 0.045170 s: ring.fractional_ideal.is_fractional_span_singleton 0.022952 s: ring.fractional_ideal.span_singleton 0.035909 s: ring.fractional_ideal.coe_span_singleton 0.028909 s: ring.fractional_ideal.span_singleton_zero 0.053539 s: ring.fractional_ideal.div_zero 0.047472 s: ring.fractional_ideal.coe_mul 0.004103 s: set.image2_singleton 0.000550 s: set.singleton_mul_singleton 0.000207 s: set.singleton.is_mul_hom 0.025038 s: ring.fractional_ideal.span_singleton_mul_span_singleton 0.038216 s: ring.fractional_ideal.mem_span_singleton 0.041181 s: ring.fractional_ideal.span_singleton_one 0.124512 s: ring.fractional_ideal.one_div_span_singleton 0.016864 s: smooth_add_monoid_morphism.mk.sizeof_spec 0.000101 s: pSet.subset._main 0.000023 s: pSet.subset 0.000025 s: pSet.has_subset 0.003274 s: pSet.equiv.ext 0.017601 s: mdifferentiable_within_at_iff_differentiable_within_at 0.113407 s: mfderiv_within_eq_fderiv_within 0.112066 s: mfderiv_eq_fderiv 0.000133 s: list.argmin 0.000135 s: list.minimum 0.000243 s: list.argmin_eq_none 0.000254 s: list.minimum_eq_none 0.000310 s: zsqrtd.linear_ordered_comm_ring._proof_23 0.026633 s: path.truncate._proof_1 0.012630 s: path.extend_of_le_zero 0.068341 s: path.truncate._proof_2 0.023120 s: path.extend_of_one_le 0.005371 s: path.truncate._proof_3 0.000864 s: path.truncate 0.005550 s: path.truncate_continuous_family 0.005627 s: category_theory.prod_comonad._proof_1 0.000275 s: category_theory.prod_comonad._proof_2 0.012557 s: category_theory.prod_comonad._proof_3 0.036592 s: category_theory.prod_comonad._proof_4 0.035480 s: category_theory.prod_comonad._proof_5 0.034445 s: category_theory.prod_comonad._proof_6 0.013278 s: category_theory.prod_comonad 0.000188 s: category_theory.coalgebra_to_over._proof_1 0.000513 s: Top.sheaf_to_Types.equations._eqn_1 0.000586 s: finsupp.sum_finsupp_lequiv_prod_finsupp._proof_3 0.003941 s: category_theory.functor.map_arrow_obj_right 0.002991 s: add_subgroup.normal_of_comm 0.044504 s: is_R_or_C.cases_on 0.041767 s: is_R_or_C.no_confusion_type 0.006112 s: category_theory.limits.is_colimit.equiv_iso_colimit_symm_apply 0.000321 s: set.mem_zero 0.002653 s: set.image_zero 0.002179 s: filter.map_zero 0.009884 s: nonneg_ring.cases_on 0.006017 s: nonneg_ring.no_confusion_type 0.006298 s: nonneg_ring.no_confusion 0.018915 s: nonneg_ring.mk.inj 0.028260 s: nonneg_ring.mk.inj_arrow 0.000044 s: free_semigroup 0.000461 s: free_semigroup.lift'._main 0.000039 s: free_semigroup.lift' 0.000105 s: free_semigroup.lift 0.005797 s: free_semigroup.semigroup._proof_1 0.000199 s: free_semigroup.semigroup 0.000034 s: free_semigroup.of 0.000071 s: free_semigroup.map 0.000199 s: free_semigroup.map.equations._eqn_1 0.006201 s: polynomial.degree_eq_iff_nat_degree_eq_of_pos 0.040994 s: continuous_bot 0.007921 s: Top.discrete._proof_1 0.004244 s: Top.discrete._proof_2 0.004912 s: Top.discrete._proof_3 0.003309 s: Top.discrete 0.004909 s: Top.adj₁._proof_2 0.009078 s: direct_sum.gmonoid.of_add_submonoids._match_3 0.004242 s: direct_sum.gmonoid.of_add_submonoids._match_4 0.000447 s: real.sqrt_two_add_series._main 0.000030 s: real.sqrt_two_add_series 0.000181 s: real.sqrt_two_add_series._main.equations._eqn_1 0.000035 s: real.sqrt_two_add_series.equations._eqn_1 0.000182 s: real.sqrt_two_add_series_zero 0.002885 s: equiv.remove_none_symm 0.002247 s: category_theory.limits.kernel.lift_mono 0.000515 s: set.image_preimage_eq_of_subset 0.002253 s: subtype.exists_set_subtype 0.001144 s: equiv.set.image_of_inj_on._proof_1 0.000622 s: equiv.set.image_of_inj_on._proof_2 0.001159 s: equiv.set.image_of_inj_on._proof_3 0.002926 s: equiv.set.image_of_inj_on._proof_4 0.003470 s: equiv.set.image_of_inj_on._match_2 0.001879 s: equiv.set.image_of_inj_on._proof_5 0.002091 s: equiv.set.image_of_inj_on 0.000323 s: equiv.set.image 0.000696 s: cardinal.mk_image_eq 0.001626 s: cardinal.le_mk_iff_exists_subset 0.000550 s: cardinal_le_dim_of_linear_independent 0.003921 s: le_dim_iff_exists_linear_independent 0.001576 s: cardinal.mk_eq_nat_iff_finset 0.004814 s: le_dim_iff_exists_linear_independent_finset 0.000452 s: simple_graph.sizeof 0.000069 s: pnat.xgcd_type.cases_on 0.000082 s: pnat.xgcd_type.no_confusion_type 0.000317 s: pnat.xgcd_type.no_confusion 0.000088 s: pgame.list_short.nil.sizeof_spec 0.055236 s: continuous_multilinear_map.dom_dom_congr._proof_7 0.000197 s: _private.2148780665.fintype_helper._match_2 0.000171 s: _private.2148780665.fintype_helper._match_1 0.000476 s: _private.2148780665.fintype_helper._proof_1 0.000312 s: _private.2148780665.fintype_helper._proof_2 0.000125 s: _private.2148780665.fintype_helper 0.000158 s: _private.2148780665.fintype_helper.equations._eqn_1 0.000479 s: dlist.join._main 0.000030 s: dlist.join 0.000463 s: dlist.join._main.equations._eqn_1 0.000250 s: dlist.join.equations._eqn_1 0.000281 s: occurrences_repr._main.equations._eqn_2 0.000040 s: occurrences_repr.equations._eqn_2 0.007720 s: finset.insert_none._proof_1 0.000104 s: finset.insert_none 0.002932 s: finset.mem_insert_none 0.000723 s: option.fintype._proof_1 0.000066 s: option.fintype 0.004742 s: ordered_comm_group.cases_on 0.003327 s: ordered_comm_group.no_confusion_type 0.003821 s: ordered_comm_group.no_confusion 0.001149 s: set.to_finset_compl 0.002138 s: fintype.card_subtype_compl 0.002220 s: mv_polynomial.monad 0.007764 s: mv_polynomial.is_lawful_functor 0.007025 s: mv_polynomial.is_lawful_functor.equations._eqn_1 0.002953 s: Top.presheaf.germ._proof_1 0.000718 s: Top.presheaf.germ._proof_2 0.009895 s: Top.presheaf.germ 0.003674 s: algebraic_geometry.to_stalk 0.000755 s: algebraic_geometry.stalk_to_fiber_ring_hom._proof_1 0.000405 s: algebraic_geometry.stalk_to_fiber_ring_hom._proof_2 0.006245 s: algebraic_geometry.stalk_to_fiber_ring_hom._proof_3 0.041463 s: algebraic_geometry.stalk_to_fiber_ring_hom 0.007464 s: algebraic_geometry.to_stalk.equations._eqn_1 0.061648 s: algebraic_geometry.germ_comp_stalk_to_fiber_ring_hom 0.039446 s: algebraic_geometry.to_stalk_comp_stalk_to_fiber_ring_hom 0.020780 s: category_theory.monad.comparison_map_f 0.000633 s: equiv.mul_def 0.004089 s: real.sqrt_two_add_series._main.equations._eqn_2 0.000398 s: is_right_inv 0.001864 s: multiset.filter_cons_of_neg 0.001257 s: multiset.ndinter_cons_of_not_mem 0.000169 s: ordnode.disjoint._match_1 0.000171 s: ordnode.split3._match_2 0.000143 s: ordnode.split3._match_3 0.000196 s: ordnode.split3._match_1 0.000784 s: ordnode.split3._main 0.000058 s: ordnode.split3 0.000522 s: ordnode.disjoint._main 0.000071 s: ordnode.disjoint 0.000391 s: ordnode.disjoint._main.equations._eqn_3 0.000168 s: ordnode.disjoint.equations._eqn_3 0.001258 s: model_with_corners.boundaryless 0.000909 s: model_with_corners.boundaryless.dcases_on 0.000299 s: submodule.topological_closure._proof_1 0.000302 s: submodule.topological_closure._proof_2 0.000231 s: set.image2_smul 0.006852 s: submodule.closure_smul_self_subset 0.001956 s: submodule.topological_closure._proof_3 0.001706 s: submodule.topological_closure 0.007158 s: submodule.bot_orthogonal_eq_top 0.010857 s: submodule.orthogonal_eq_top_iff 0.002264 s: submodule.is_closed_topological_closure 0.004808 s: submodule.orthogonal_le 0.002816 s: submodule.orthogonal_orthogonal_monotone 0.003887 s: submodule.submodule_topological_closure 0.003297 s: submodule.topological_closure_minimal 0.016779 s: submodule.orthogonal_orthogonal_eq_closure 0.015028 s: maximal_orthonormal_iff_dense_span 0.017224 s: exists_subset_is_orthonormal_dense_span 0.014663 s: exists_is_orthonormal_dense_span 0.001822 s: slim_check.or_counter_example._main 0.000029 s: slim_check.or_counter_example 0.000194 s: slim_check.or_counter_example._main.equations._eqn_6 0.000126 s: slim_check.or_counter_example.equations._eqn_6 0.001088 s: polynomial.reflect_C_mul 0.000817 s: polynomial.coeff_X_pow_self 0.000570 s: polynomial.not_mem_support_iff 0.003242 s: polynomial.support_C_mul_X_pow 0.000655 s: polynomial.mem_support_C_mul_X_pow 0.003609 s: polynomial.reflect_C_mul_X_pow 0.004859 s: polynomial.mirror_monomial 0.000280 s: polynomial.mirror_X 0.000177 s: polynomial.rec_on_horner._main._pack._proof_1 0.005108 s: local_homeomorph.continuous_within_at_iff_continuous_within_at_comp_left 0.001535 s: local_homeomorph.continuous_at_iff_continuous_at_comp_left 0.001205 s: tree.sample._main._pack._wf_rec_mk_dec_tactic._aux_2 0.000099 s: multiset.keys 0.000130 s: finmap.has_mem 0.000063 s: finmap.disjoint 0.000227 s: finmap.lift_on₂._proof_1 0.001355 s: finmap.lift_on₂._proof_2 0.000523 s: finmap.lift_on₂ 0.000663 s: list.nil_kunion 0.004957 s: list.mem_keys_kunion 0.002113 s: list.kunion_nodupkeys 0.000226 s: alist.union._proof_1 0.000217 s: alist.union 0.000128 s: alist.has_union 0.000879 s: alist.union_entries 0.001900 s: list.perm.kunion_left 0.000435 s: list.perm.kunion 0.000763 s: alist.perm_union 0.000442 s: finmap.union._proof_1 0.000206 s: finmap.union 0.000063 s: finmap.has_union 0.000688 s: finmap.induction_on 0.000135 s: finmap.induction_on₂ 0.000167 s: list.nodup_erase_of_nodup 0.006159 s: list.mem_ext 0.000182 s: list.nodup_of_nodupkeys 0.001312 s: list.lookup_ext 0.001523 s: finmap.ext_lookup 0.000047 s: alist.keys 0.000124 s: alist.has_mem 0.001448 s: alist.lookup_is_some 0.002819 s: finmap.lookup_is_some 0.000213 s: finmap.has_mem.mem.decidable._proof_1 0.000345 s: finmap.has_mem.mem.decidable 0.004377 s: list.lookup_kunion_left 0.001746 s: alist.lookup_union_left 0.005409 s: finmap.lookup_union_left 0.002191 s: list.lookup_kunion_right 0.001278 s: alist.lookup_union_right 0.009394 s: finmap.lookup_union_right 0.001217 s: option.not_is_some 0.000483 s: option.eq_none_of_is_none 0.000219 s: option.is_none_iff_eq_none 0.000813 s: list.lookup_eq_none 0.001097 s: alist.lookup_eq_none 0.002781 s: finmap.lookup_eq_none 0.001032 s: finmap.lookup_union_left_of_not_in 0.002164 s: finmap.union_cancel 0.027195 s: is_compl.sum_add_sum 0.000566 s: finset.sum_compl_add_sum 0.000175 s: real.is_conjugate_exponent.conjugate_eq 0.005462 s: quadratic_form.isometry.cases_on 0.003346 s: quadratic_form.isometry.no_confusion_type 0.002447 s: quadratic_form.isometry.no_confusion 0.003729 s: quadratic_form.isometry.mk.inj 0.005652 s: initial_seg.cod_restrict._match_1 0.002976 s: initial_seg.cod_restrict._match_2 0.001535 s: initial_seg.cod_restrict._proof_1 0.001120 s: initial_seg.cod_restrict 0.001785 s: initial_seg.cod_restrict_apply 0.001077 s: turing.to_partrec.cont.eval._main 0.000467 s: turing.to_partrec.cont.eval._main.equations._eqn_5 0.000910 s: set.maps_to.union_union 0.000255 s: set.maps_to.congr 0.002178 s: set.piecewise_eq_on_compl 0.003996 s: set.maps_to.piecewise_ite 0.002372 s: local_equiv.is_image.compl 0.000947 s: local_equiv.piecewise._proof_1 0.001594 s: local_equiv.piecewise._proof_2 0.006938 s: local_equiv.is_image.left_inv_on_piecewise 0.000995 s: local_equiv.piecewise._proof_3 0.000743 s: local_equiv.piecewise._proof_4 0.002459 s: local_equiv.piecewise 0.000076 s: sierpinski_space 0.000074 s: eq_true 0.000429 s: is_open_singleton_true 0.001139 s: continuous_Prop 0.000317 s: is_open_iff_continuous_mem 0.002048 s: continuous_piecewise 0.003791 s: is_open.ite' 0.001345 s: is_open.ite 0.000348 s: local_homeomorph.piecewise._proof_1 0.000884 s: local_equiv.is_image.inter_eq_of_inter_eq_of_eq_on 0.000949 s: local_homeomorph.is_image.inter_eq_of_inter_eq_of_eq_on 0.000556 s: local_homeomorph.is_image.inter 0.003180 s: local_homeomorph.is_image.diff 0.000644 s: local_homeomorph.is_image.frontier 0.001433 s: local_homeomorph.piecewise._proof_2 0.001986 s: continuous_on.piecewise 0.006522 s: set.ite_inter_inter 0.000098 s: set.ite_same 0.000249 s: set.ite_inter 0.000693 s: set.ite_inter_of_inter_eq 0.000251 s: closure_eq_self_union_frontier 0.000848 s: ite_inter_closure_eq_of_inter_frontier_eq 0.000624 s: frontier_compl 0.000720 s: ite_inter_closure_compl_eq_of_inter_frontier_eq 0.001389 s: continuous_on_piecewise_ite' 0.000739 s: continuous_on_piecewise_ite 0.001933 s: local_homeomorph.piecewise._proof_3 0.002107 s: local_equiv.is_image.symm_eq_on_of_inter_eq_of_eq_on 0.006263 s: local_homeomorph.is_image.symm_eq_on_of_inter_eq_of_eq_on 0.002889 s: local_homeomorph.piecewise._proof_4 0.002850 s: local_homeomorph.piecewise 0.002791 s: interior_prod_eq 0.003419 s: set.prod_diff_prod 0.001994 s: frontier_prod_eq 0.000623 s: frontier_univ 0.001042 s: set.prod_empty 0.001499 s: frontier_prod_univ_eq 0.003783 s: bundle_trivialization.frontier_preimage 0.002245 s: local_homeomorph.piecewise_to_local_equiv 0.000757 s: local_equiv.piecewise_target 0.002091 s: bundle_trivialization.target_eq 0.001448 s: set.preimage_ite 0.021107 s: bundle_trivialization.piecewise._proof_5 0.000231 s: pfunctor.W.head._main 0.000022 s: pfunctor.W.head 0.000936 s: mvpfunctor.W_path.inhabited._match_1 0.002102 s: finsupp.sum_finsupp_lequiv_prod_finsupp._proof_1 0.001900 s: finsupp.fst_sum_finsupp_add_equiv_prod_finsupp 0.001704 s: finsupp.snd_sum_finsupp_add_equiv_prod_finsupp 0.013932 s: finsupp.sum_finsupp_lequiv_prod_finsupp._proof_2 0.000664 s: finsupp.sum_finsupp_lequiv_prod_finsupp._proof_4 0.006161 s: finsupp.sum_finsupp_lequiv_prod_finsupp 0.003625 s: finsupp.sum_finsupp_lequiv_prod_finsupp_symm_apply 0.001447 s: semiconj_by.cast_nat_mul_left 0.000239 s: commute.cast_nat_mul_left 0.000216 s: commute.cast_nat_mul_self 0.000296 s: measure_theory.measure.ext_iff 0.000101 s: option.filter 0.000217 s: option.filter.equations._eqn_1 0.000200 s: continuous_map.ev 0.000071 s: stream.interleave._match_1 0.008663 s: category_theory.monoidal.associator_hom_app 0.002219 s: list.Ico.filter_lt_of_top_le 0.001548 s: list.filter_eq_nil 0.001445 s: list.Ico.filter_lt_of_le_bot 0.001466 s: list.Ico.filter_lt_of_ge 0.000608 s: multiset.Ico.filter_lt_of_ge 0.001106 s: matrix.empty_eq 0.000135 s: matrix.neg_empty 0.153864 s: subfield.to_algebra.equations._eqn_1 0.004854 s: real.maps_to_sin_Ioo 0.000405 s: real.sin_local_homeomorph._proof_1 0.000291 s: real.sin_local_homeomorph._proof_2 0.000257 s: real.sin_local_homeomorph._proof_3 0.004886 s: real.sin_local_homeomorph._proof_4 0.001848 s: real.sin_local_homeomorph._proof_5 0.001058 s: real.sin_local_homeomorph._proof_6 0.000837 s: real.sin_local_homeomorph._proof_7 0.003580 s: real.sin_local_homeomorph 0.319234 s: times_cont_diff_at.real_of_complex 0.091284 s: times_cont_diff.real_of_complex 0.013328 s: times_cont_diff.div_const 0.031300 s: 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model_with_corners_euclidean_half_space._proof_1 0.000230 s: model_with_corners_euclidean_half_space._proof_2 0.003811 s: model_with_corners_euclidean_half_space._proof_3 0.008005 s: model_with_corners_euclidean_half_space._match_1 0.004498 s: model_with_corners_euclidean_half_space._proof_4 0.001466 s: model_with_corners_euclidean_half_space._proof_5 0.010167 s: model_with_corners_euclidean_half_space._proof_6 0.004467 s: set.pi_piecewise 0.001553 s: set.univ_pi_piecewise 0.001605 s: pi_subtype.can_lift._proof_1 0.000397 s: pi_subtype.can_lift 0.000031 s: set.pi_set_coe.can_lift._proof_1 0.000372 s: set.pi_set_coe.can_lift._proof_2 0.001552 s: set.pi_set_coe.can_lift 0.000021 s: set.pi_set_coe.can_lift'._proof_1 0.000246 s: set.pi_set_coe.can_lift' 0.005554 s: filter.mem_infi_iff' 0.000257 s: eq_bot_mono 0.031205 s: nhds_within_pi_univ_eq_bot 0.009324 s: nhds_within_pi_eq_bot 0.002574 s: nhds_within_pi_ne_bot 0.001787 s: mem_closure_pi 0.000686 s: closure_pi_set 0.000531 s: 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model_with_corners_euclidean_half_space.equations._eqn_1 0.046690 s: nnreal.semilattice_sup_bot.equations._eqn_1 0.000480 s: filter_basis.sizeof 0.000748 s: filter.germ.lattice._proof_8 0.010658 s: matrix.to_bilin'_aux._proof_1 0.013236 s: matrix.to_bilin'_aux._proof_2 0.003738 s: matrix.to_bilin'_aux._proof_3 0.010006 s: matrix.to_bilin'_aux._proof_4 0.002727 s: matrix.to_bilin'_aux 0.000255 s: tactic.ring_exp.ex_type 0.000070 s: tactic.ring_exp.ex_type.sizeof 0.000052 s: binder_info.strict_implicit.inj 0.000023 s: binder_info.strict_implicit.inj_arrow 0.002349 s: category_theory.limits.is_limit.swap_binary_fan.equations._eqn_1 0.014741 s: submodule.normed_group.equations._eqn_1 0.026161 s: add_con.complete_lattice.equations._eqn_1 0.002264 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_1 0.000235 s: AddCommMon.add_comm_monoid 0.076335 s: AddCommMon.limit_add_comm_monoid 0.006000 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_2 0.000169 s: AddMon.has_limits.limit_cone_is_limit._proof_1 0.003765 s: AddMon.has_limits.limit_cone_is_limit._proof_2 0.045466 s: AddMon.has_limits.limit_cone_is_limit._proof_3 0.120689 s: AddMon.has_limits.limit_cone_is_limit._proof_5 0.033835 s: AddMon.has_limits.limit_cone_is_limit 0.004759 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_3 0.008592 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_4 0.012632 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_5 8.811549 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_6 4.340366 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit 0.000544 s: AddMon.has_limits 0.000343 s: AddCommMon.forget₂_AddMon_preserves_limits._proof_1 0.000538 s: AddCommMon.forget₂_AddMon_preserves_limits 0.006491 s: times_cont_mdiff_map.continuous_map.has_coe._proof_1 0.008358 s: times_cont_mdiff_map.continuous_map.has_coe 0.006447 s: times_cont_mdiff_map.continuous_map.has_coe.equations._eqn_1 0.000695 s: category_theory.limits.is_colimit_equiv_is_limit_op._proof_1 0.008807 s: category_theory.limits.is_colimit.op._proof_1 0.032656 s: category_theory.limits.is_colimit.op._proof_2 0.032044 s: category_theory.limits.is_colimit.op 0.004006 s: category_theory.limits.is_limit.unop._proof_1 0.012363 s: category_theory.limits.is_limit.unop._proof_2 0.005739 s: category_theory.limits.is_limit.unop 0.008720 s: category_theory.limits.is_colimit_equiv_is_limit_op._proof_2 0.001694 s: category_theory.limits.is_colimit_equiv_is_limit_op 0.002743 s: dioph.dioph_fn_vec_comp1 0.001496 s: category_theory.limits.colimit.pre 0.009433 s: category_theory.limits.colimit.ι_pre 0.004264 s: category_theory.limits.colimit.ι_map 0.011407 s: category_theory.limits.colimit.pre_map 0.001114 s: stream.tails_eq 0.003490 s: rat.decidable_le._main.equations._eqn_1 0.002397 s: rat.decidable_le.equations._eqn_1 0.008569 s: 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category_theory.thin_skeleton.map_nat_trans 0.003205 s: category_theory.thin_skeleton.map_iso_eq 0.002642 s: category_theory.subobject.lower_equivalence._proof_1 0.000280 s: slim_check.give_up._main.equations._eqn_2 0.001417 s: quotient_group.coe_inv 0.038064 s: localization_map.lift_mk' 0.006862 s: measure_theory.measure.finite_spanning_sets_in.prod.equations._eqn_1 0.000191 s: d_array.no_confusion_type 0.000345 s: d_array.no_confusion 0.000147 s: d_array.mk.inj 0.000308 s: d_array.mk.inj_eq 0.000282 s: le_of_forall_lt' 0.000144 s: forall_lt_iff_le' 0.000374 s: list.nodupkeys_nil 0.000151 s: alist.has_emptyc 0.000494 s: finmap.has_emptyc 0.000647 s: finmap.empty_to_finmap 0.000096 s: vm_obj_kind.sizeof 0.000048 s: vm_obj_kind.simple.sizeof_spec 0.001986 s: linear_map.ker_eq_bot_iff_range_eq_top 0.000903 s: linear_equiv.of_injective_endo._proof_1 0.001469 s: linear_equiv.of_injective_endo 0.000326 s: DFA 0.000210 s: NFA.to_DFA 0.000824 s: normal_add_subgroup 0.000205 s: normal_add_subgroup.to_is_add_subgroup 0.001360 s: is_add_subgroup.univ_add_subgroup 0.000322 s: univ.is_subfield 0.000648 s: category_theory.limits.strong_epi_mono_factorisation.rec_on 0.000248 s: is_galois.normal'' 0.012555 s: invariant_basis_number 0.005325 s: invariant_basis_number.eq_of_fin_equiv 0.003475 s: eq_of_fin_equiv 0.119635 s: invariant_basis_number_field 0.000351 s: ideal.pi._proof_1 0.014474 s: ideal.pi._proof_2 0.000926 s: ideal.pi._proof_3 0.011604 s: ideal.pi 0.000951 s: add_subgroup.add_mem_cancel_right 0.001793 s: submodule.add_mem_iff_left 0.026124 s: ideal.add_mem_iff_left 0.004417 s: ideal.mem_pi 0.573839 s: ideal.module_pi._proof_1 0.732899 s: ideal.module_pi._proof_2 0.723473 s: ideal.module_pi._proof_3 0.798923 s: ideal.module_pi._proof_4 0.829270 s: ideal.module_pi._proof_5 1.012493 s: ideal.module_pi._proof_6 1.022497 s: ideal.module_pi._proof_7 0.549675 s: ideal.module_pi 0.484111 s: ideal.pi_quot_equiv._proof_1 0.466467 s: ideal.pi_quot_equiv._proof_2 0.544482 s: ideal.pi_quot_equiv._proof_3 0.613185 s: ideal.pi_quot_equiv._proof_4 0.609592 s: ideal.pi_quot_equiv._proof_5 0.392958 s: ideal.pi_quot_equiv 0.042504 s: ideal.map_pi 0.846446 s: _private.1505382559.induced_map._proof_1 0.568655 s: _private.1505382559.induced_map 0.649783 s: _private.3898214611.induced_equiv._proof_1 0.649756 s: _private.3898214611.induced_equiv._proof_2 0.516220 s: _private.3898214611.induced_equiv._proof_3 0.558253 s: _private.3898214611.induced_equiv._proof_4 0.456284 s: _private.3898214611.induced_equiv 0.259777 s: invariant_basis_number_of_nontrivial_of_comm_ring._match_1 0.012499 s: invariant_basis_number_of_nontrivial_of_comm_ring 0.004262 s: real.neg_one_le_cos 0.000399 s: Ring.coe_of 0.029759 s: polynomial.content_one 0.010654 s: nat.arithmetic_function.add_group._proof_13 0.004336 s: ring_quot.lift._proof_1 0.008183 s: ring_quot.lift._proof_2 0.013345 s: ring_quot.lift._proof_3 0.008835 s: ring_quot.lift._proof_4 0.015569 s: ring_quot.lift._proof_5 0.005047 s: ring_quot.mk_ring_hom_rel 0.001969 s: ring_quot.lift._proof_6 0.072823 s: ring_quot.lift._proof_7 0.009975 s: ring_quot.mk_ring_hom_surjective 0.003571 s: ring_quot.ring_quot_ext 0.065886 s: ring_quot.lift._proof_8 0.033328 s: ring_quot.lift 0.000376 s: equiv.semiring._proof_2 0.007836 s: language.semiring._proof_14 0.000030 s: LinearOrder 0.000058 s: LinearOrder.has_coe_to_sort 0.000269 s: LinearOrder.linear_order 0.000309 s: LinearOrder.linear_order.equations._eqn_1 0.002054 s: rack.to_envel_group.map_aux._main.equations._eqn_1 0.210793 s: euclidean_geometry.reflection_eq_self_iff 0.000236 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_4 0.001471 s: computation.map_ret 0.023907 s: computation.map_think 0.003106 s: computation.bind_ret 0.001028 s: computation.exists_of_mem_map 0.000213 s: computation.eq_thinkN' 0.000176 s: computation.mem_rec_on._proof_1 0.000357 s: computation.mem_rec_on._proof_2 0.002061 s: computation.mem_rec_on 0.001840 s: computation.results_bind 0.000655 s: computation.mem_bind 0.000403 s: computation.terminates_bind 0.000361 s: computation.terminates_map 0.000730 s: computation.terminates_map_iff 0.000311 s: wseq.head_terminates_iff 0.001062 s: fin.succ_rec._main 0.000093 s: fin.succ_rec 0.000515 s: fin.succ_rec._sunfold 0.000859 s: preorder_hom.bind.equations._eqn_1 0.009404 s: omega_complete_partial_order.continuous_hom.bind._proof_1 0.002987 s: omega_complete_partial_order.continuous_hom.bind 0.002426 s: omega_complete_partial_order.continuous_hom.bind.equations._eqn_1 0.000824 s: polynomial.ne_zero_of_monic_of_zero_ne_one 0.001561 s: with_bot.order_bot.equations._eqn_1 0.014564 s: linear_map.to_matrix_mul 0.008137 s: linear_map.to_matrix_alg_equiv._proof_1 0.174859 s: linear_map.to_matrix_alg_equiv._proof_2 0.116545 s: linear_map.to_matrix_alg_equiv 0.029494 s: matrix.to_lin_alg_equiv 0.117041 s: matrix.to_lin_alg_equiv_symm 0.037970 s: matrix.to_lin_alg_equiv_to_matrix_alg_equiv 0.000060 s: AddSemigroup.has_coe_to_sort 0.000206 s: AddSemigroup.add_semigroup 0.000685 s: with_zero.lift._proof_1 0.000663 s: with_zero.cases_on 0.005144 s: with_zero.lift._proof_2 0.000302 s: add_monoid_hom.to_add_hom 0.000129 s: with_zero.coe_add_hom._proof_1 0.000379 s: with_zero.coe_add_hom 0.010153 s: with_zero.lift._proof_3 0.005574 s: with_zero.lift._proof_4 0.002281 s: with_zero.lift 0.000290 s: with_zero.map 0.001832 s: with_zero.map_id 0.000398 s: adjoin_zero._proof_1 0.006929 s: with_zero.map_comp 0.000902 s: adjoin_zero._proof_2 0.012293 s: adjoin_zero 0.003046 s: has_forget_to_AddSemigroup._proof_1 0.001846 s: has_forget_to_AddSemigroup._proof_2 0.005398 s: has_forget_to_AddSemigroup._proof_3 0.010613 s: has_forget_to_AddSemigroup 0.008636 s: adjoin_zero_map 0.000522 s: with_zero.map.equations._eqn_1 0.001859 s: with_zero.lift_coe 0.000944 s: add_hom.coe_comp 0.000351 s: with_zero.coe_add_hom_apply 0.021025 s: adjoin_zero_adj._proof_1 0.006330 s: adjoin_zero_adj._proof_2 0.015945 s: adjoin_zero_adj 0.011738 s: adjoin_zero_adj.equations._eqn_1 0.002968 s: seq.of_list._proof_1 0.000181 s: seq.of_list 0.000269 s: seq.of_list.equations._eqn_1 0.000134 s: stream.cons.equations._eqn_1 0.000422 s: stream.cons._match_1.equations._eqn_1 0.000080 s: stream.cons._match_1.equations._eqn_2 0.003072 s: seq.of_list_cons 0.001681 s: continuous_linear_map.prod_map 0.085811 s: has_strict_fderiv_at_fst 0.119716 s: has_strict_fderiv_at_snd 0.171155 s: has_strict_fderiv_at.prod_map 0.018714 s: monoid_hom.decidable_mem_ker 0.009096 s: monoid_hom.decidable_mem_ker.equations._eqn_1 0.063993 s: measure_theory.L1.simple_func.normed_group.equations._eqn_1 0.006571 s: with_top.canonically_linear_ordered_add_monoid._proof_12 0.000604 s: Profinite.is_compact 0.039506 s: matrix.special_linear_group.to_linear_equiv._proof_1 0.037068 s: matrix.special_linear_group.to_linear_equiv._proof_2 0.024585 s: matrix.special_linear_group.to_lin' 0.004913 s: matrix.smul_eq_diagonal_mul 0.014590 s: matrix.det_smul 0.004353 s: matrix.det_adjugate_of_cancel 0.004778 s: matrix.det_adjugate_eq_one 0.001454 s: matrix.special_linear_group.has_inv._proof_1 0.000738 s: matrix.special_linear_group.has_inv 0.009383 s: matrix.special_linear_group.to_lin'_mul 0.001858 s: matrix.special_linear_group.ext_iff 0.000698 s: matrix.special_linear_group.ext 0.001243 s: matrix.special_linear_group.mul_apply 0.011995 s: matrix.special_linear_group.group._proof_1 0.000351 s: matrix.special_linear_group.has_one._proof_1 0.000479 s: matrix.special_linear_group.has_one 0.001433 s: matrix.special_linear_group.one_apply 0.011052 s: matrix.special_linear_group.group._proof_2 0.013851 s: matrix.special_linear_group.group._proof_3 0.014315 s: matrix.special_linear_group.group._proof_4 0.015833 s: matrix.special_linear_group.group._proof_5 0.030395 s: matrix.special_linear_group.group._proof_6 0.030707 s: matrix.special_linear_group.group._proof_7 0.017507 s: matrix.special_linear_group.group._proof_8 0.015627 s: matrix.special_linear_group.group._proof_9 0.014352 s: matrix.special_linear_group.group._proof_10 0.030943 s: matrix.special_linear_group.group._proof_11 0.033793 s: matrix.special_linear_group.group._proof_12 0.058866 s: matrix.special_linear_group.group._proof_13 0.007983 s: matrix.special_linear_group.inv_apply 0.003524 s: matrix.transpose_smul 0.012535 s: matrix.adjugate_mul 0.003740 s: matrix.special_linear_group.det_coe_matrix 0.069782 s: matrix.special_linear_group.group._proof_14 0.049754 s: matrix.special_linear_group.group 0.015877 s: matrix.special_linear_group.to_lin'_one 0.017163 s: matrix.special_linear_group.to_linear_equiv._proof_3 0.017032 s: matrix.special_linear_group.to_linear_equiv._proof_4 0.029884 s: matrix.special_linear_group.to_linear_equiv 0.030927 s: matrix.special_linear_group.to_linear_equiv.equations._eqn_1 0.033759 s: function.injective.ordered_comm_semiring._proof_1 0.033555 s: function.injective.ordered_comm_semiring._proof_2 0.030425 s: function.injective.ordered_comm_semiring._proof_3 0.036856 s: function.injective.ordered_comm_semiring._proof_4 0.030878 s: function.injective.ordered_comm_semiring._proof_5 0.036694 s: function.injective.ordered_comm_semiring._proof_6 0.037736 s: function.injective.ordered_comm_semiring._proof_7 0.038817 s: function.injective.ordered_comm_semiring._proof_8 0.037325 s: function.injective.ordered_comm_semiring._proof_9 0.035409 s: function.injective.ordered_comm_semiring._proof_10 0.036890 s: function.injective.ordered_comm_semiring._proof_11 0.037299 s: function.injective.ordered_comm_semiring._proof_12 0.035052 s: function.injective.ordered_comm_semiring._proof_13 0.038278 s: function.injective.ordered_comm_semiring._proof_14 0.038634 s: function.injective.ordered_comm_semiring._proof_15 0.007507 s: function.injective.ordered_comm_semiring._proof_16 0.000778 s: function.injective.ordered_comm_semiring._proof_17 0.000855 s: function.injective.ordered_comm_semiring._proof_18 0.001091 s: function.injective.ordered_comm_semiring._proof_19 0.001087 s: function.injective.ordered_comm_semiring._proof_20 0.003328 s: function.injective.ordered_comm_semiring._proof_21 0.002440 s: function.injective.ordered_comm_semiring._proof_22 0.003570 s: function.injective.ordered_comm_semiring._proof_23 0.003238 s: function.injective.ordered_comm_semiring._proof_24 0.003124 s: function.injective.ordered_comm_semiring._proof_25 0.028769 s: function.injective.ordered_comm_semiring._proof_26 0.263081 s: function.injective.ordered_comm_semiring 0.290511 s: function.injective.ordered_comm_semiring.equations._eqn_1 0.023929 s: quiver.path.comp._main 0.000507 s: relator.lift_fun.equations._eqn_1 0.000478 s: denumerable.raise'._main 0.000015 s: denumerable.raise' 0.008666 s: denumerable.raise'_chain 0.001985 s: denumerable.raise'_sorted 0.000491 s: denumerable.raise'_finset._proof_1 0.000181 s: set.nonempty_Iic 0.000152 s: set.nonempty_Iic_subtype 0.000109 s: is_simple_lattice.bounded_distrib_lattice._proof_1 0.000085 s: is_simple_lattice.bounded_distrib_lattice._proof_2 0.000269 s: is_simple_lattice.bounded_distrib_lattice._proof_3 0.000295 s: is_simple_lattice.bounded_distrib_lattice._proof_4 0.000364 s: is_simple_lattice.bounded_distrib_lattice._proof_5 0.000456 s: is_simple_lattice.bounded_distrib_lattice._proof_6 0.000595 s: is_simple_lattice.bounded_distrib_lattice._proof_7 0.000386 s: is_simple_lattice.bounded_distrib_lattice._proof_8 0.000311 s: is_simple_lattice.bounded_distrib_lattice._proof_9 0.000397 s: is_simple_lattice.bounded_distrib_lattice._proof_10 0.029118 s: is_simple_lattice.bounded_distrib_lattice._proof_11 0.000393 s: is_simple_lattice.bounded_distrib_lattice._proof_12 0.000411 s: is_simple_lattice.bounded_distrib_lattice._proof_13 0.006804 s: is_simple_lattice.bounded_distrib_lattice 0.018999 s: is_simple_lattice.boolean_algebra._proof_16 0.000427 s: pgame.add 0.000043 s: pgame.has_add 0.006275 s: pgame.add_zero_relabelling._main 0.000179 s: nat.arithmetic_function.add_comm_monoid._proof_1 0.000127 s: nat.arithmetic_function.add_comm_monoid._proof_3 0.000571 s: nat.arithmetic_function.add_comm_monoid._proof_4 0.000265 s: nat.arithmetic_function.add_comm_monoid._proof_5 0.001348 s: nat.arithmetic_function.add_comm_monoid._proof_6 0.000806 s: nat.arithmetic_function.add_comm_monoid 0.000232 s: nat.arithmetic_function.semiring._proof_1 0.000133 s: nat.arithmetic_function.semiring._proof_2 0.000115 s: nat.arithmetic_function.semiring._proof_3 0.000472 s: nat.arithmetic_function.semiring._proof_4 0.000321 s: nat.arithmetic_function.semiring._proof_5 0.000187 s: nat.arithmetic_function.semiring._proof_6 0.000627 s: nat.divisors_antidiagonal_zero 0.001041 s: nat.arithmetic_function.has_scalar._proof_1 0.000414 s: nat.arithmetic_function.has_scalar 0.000890 s: nat.arithmetic_function.has_mul 0.000835 s: nat.arithmetic_function.smul_apply 0.002513 s: nat.arithmetic_function.mul_apply 0.049309 s: nat.arithmetic_function.mul_smul' 0.000597 s: nat.arithmetic_function.monoid._proof_1 0.000569 s: nat.arithmetic_function.one_apply_ne 0.000500 s: nat.arithmetic_function.one_one 0.019149 s: nat.arithmetic_function.one_smul' 0.000528 s: nat.arithmetic_function.monoid._proof_2 0.010851 s: nat.arithmetic_function.monoid._proof_3 0.000383 s: nat.arithmetic_function.monoid._proof_4 0.008794 s: nat.arithmetic_function.monoid._proof_5 0.023524 s: nat.arithmetic_function.monoid._proof_6 0.020687 s: nat.arithmetic_function.monoid._proof_7 0.011729 s: nat.arithmetic_function.monoid 0.000204 s: nat.arithmetic_function.semiring._proof_7 0.000120 s: nat.arithmetic_function.semiring._proof_8 0.000133 s: nat.arithmetic_function.semiring._proof_9 0.000586 s: nat.arithmetic_function.semiring._proof_10 0.000383 s: nat.arithmetic_function.semiring._proof_11 0.000537 s: zero_hom.zero_apply 0.000312 s: nat.arithmetic_function.zero_apply 0.002793 s: nat.arithmetic_function.semiring._proof_12 0.002568 s: nat.arithmetic_function.semiring._proof_13 0.000490 s: nat.arithmetic_function.add_apply 0.004298 s: nat.arithmetic_function.semiring._proof_14 0.006145 s: nat.arithmetic_function.semiring._proof_15 0.004530 s: nat.arithmetic_function.semiring 0.000235 s: nat.arithmetic_function.comm_semiring._proof_12 0.000583 s: is_add_subgroup.add_normalizer.equations._eqn_1 0.001149 s: lie_hom.has_zero._proof_1 0.000050 s: lists.mem 0.000088 s: lists.has_mem 0.000182 s: lists.is_list 0.002185 s: lists.is_list_of_mem 0.000275 s: pi.ordered_cancel_add_comm_monoid._proof_9 0.003202 s: wseq.dropn_tail 0.000080 s: fp.float.sign._main 0.000721 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ._proof_1 0.000568 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ._proof_2 0.002261 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ._proof_3 0.004410 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ._proof_4 0.002145 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ 0.001511 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ.equations._eqn_1 0.002019 s: category_theory.limits.types.type_equalizer_of_unique._proof_1 0.004919 s: category_theory.limits.types.type_equalizer_of_unique._proof_2 0.003698 s: category_theory.limits.types.type_equalizer_of_unique 0.001775 s: category_theory.limits.types.type_equalizer_iff_unique 0.000018 s: functor.const 0.000030 s: functor.const.mk' 0.000154 s: functor.const.mk'.equations._eqn_1 0.000030 s: tactic.unfold_config.eta._default 0.000036 s: tactic.unfold_config.eta._default.equations._eqn_1 0.000275 s: continuous_map.continuous_within_at 0.000174 s: associates.inhabited 0.004212 s: associates.prod_eq_one_iff 0.000509 s: omega.int.push_neg._main.equations._eqn_1 0.043333 s: normed_field.to_normed_comm_ring.equations._eqn_1 0.004938 s: ordnode.erase_min._main 0.005023 s: ordnode.erase_min._main.equations._eqn_3 0.000033 s: total 0.001652 s: measurable_equiv.trans.equations._eqn_1 0.000146 s: category_theory.triangulated.triangle_morphism.inhabited 0.000139 s: category_theory.triangulated.triangle_morphism.inhabited.equations._eqn_1 0.000305 s: set.seq.equations._eqn_1 0.000467 s: _private.2677090513.neg._main 0.000057 s: _private.2677090513.neg 0.000103 s: ring_quot.has_neg 0.000475 s: _private.2677090513.neg._main.equations._eqn_1 0.000336 s: _private.2677090513.neg.equations._eqn_1 0.000873 s: ring_quot.neg_quot 0.019414 s: submodule.comap_subtype_equiv_of_le._proof_6 0.001816 s: is_free_group.cases_on 0.005251 s: continuous_linear_equiv.symm_to_linear_equiv 0.000599 s: snum.drec'._main 0.000098 s: snum.drec' 0.000047 s: snum.rec' 0.000153 s: int.of_snum 0.000028 s: int.snum_coe 0.000110 s: snum.has_le 0.000345 s: prod.right_cancel_add_semigroup._proof_1 0.001716 s: prod.right_cancel_add_semigroup._proof_2 0.000638 s: prod.right_cancel_add_semigroup 0.000291 s: prod.right_cancel_add_monoid._proof_1 0.000469 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prod.cancel_add_monoid._proof_6 0.000215 s: prod.cancel_add_monoid._proof_7 0.004138 s: prod.cancel_add_monoid 0.003684 s: prod.cancel_add_monoid.equations._eqn_1 0.010613 s: equiv.perm.order_of_is_cycle 0.000076 s: int.gcd_eq_nat_abs 0.000050 s: real.field.equations._eqn_1 0.000072 s: pseudo_metric_space.edist._default 0.000389 s: galois_coinsertion.choice 0.001121 s: galois_coinsertion.lift_semilattice_sup._proof_1 0.000737 s: galois_coinsertion.choice_eq 0.003556 s: galois_coinsertion.lift_semilattice_sup._proof_2 0.002707 s: galois_coinsertion.lift_semilattice_sup._proof_3 0.004840 s: galois_coinsertion.lift_semilattice_sup._proof_4 0.002225 s: galois_coinsertion.lift_semilattice_sup 0.002801 s: galois_coinsertion.lift_lattice._proof_6 0.000381 s: of_add_eq_one 0.000303 s: add_order_of.equations._eqn_1 0.005754 s: order_of_of_add_eq_add_order_of 0.000143 s: multiplicative.left_cancel_monoid._proof_1 0.000264 s: multiplicative.left_cancel_monoid._proof_2 0.000144 s: multiplicative.left_cancel_monoid._proof_3 0.000144 s: multiplicative.left_cancel_monoid._proof_4 0.001239 s: multiplicative.left_cancel_monoid._proof_5 0.000252 s: multiplicative.left_cancel_monoid._proof_6 0.001916 s: multiplicative.left_cancel_monoid 0.003627 s: add_order_of_pos 0.009683 s: gsmul_eq_mod_add_order_of 0.008226 s: mem_multiples_iff_mem_gmultiples 0.001899 s: multiples_eq_gmultiples 0.000501 s: decidable_gmultiples._proof_1 0.002221 s: nsmul_eq_mod_add_order_of 0.002535 s: mem_multiples_iff_mem_range_add_order_of 0.000401 s: decidable_multiples._proof_1 0.001087 s: decidable_multiples 0.003053 s: decidable_gmultiples 0.002569 s: decidable_gmultiples.equations._eqn_1 0.000398 s: bounded_continuous_function.to_Lp_hom._proof_3 0.000081 s: tactic.itauto.and_kind.cases_on 0.000076 s: tactic.itauto.and_kind.sides._main 0.000117 s: tactic.itauto.and_kind.sides._main.equations._eqn_2 0.000488 s: mv_polynomial.join₁ 0.000635 s: mv_polynomial.aeval_id_eq_join₁ 0.004315 s: category_theory.limits.bicone.mk.sizeof_spec 0.001055 s: zmod.val._main.equations._eqn_2 0.000253 s: zmod.val.equations._eqn_2 0.000668 s: galois_coinsertion.cases_on 0.000331 s: galois_coinsertion.no_confusion_type 0.000851 s: galois_coinsertion.no_confusion 0.000181 s: free_group.prod 0.000102 s: free_group.map.aux 0.000166 s: free_group.map.aux.equations._eqn_1 0.002543 s: free_group.map.to_fun._proof_1 0.000216 s: free_group.map.to_fun 0.000209 s: free_group.map.to_fun.equations._eqn_1 0.000178 s: free_group.quot_lift_on_mk 0.005295 s: free_group.map._proof_1 0.000320 s: free_group.map 0.002131 s: free_group.lift.unique 0.001486 s: free_group.map.of 0.000754 s: free_group.prod.of 0.004546 s: free_group.lift_eq_prod_map 0.012141 s: filter.tendsto_top 0.328864 s: intermediate_field.is_scalar_tower.equations._eqn_1 0.027148 s: tactic_doc._3670659813 0.000254 s: tmp_complete_lattice.equations._eqn_1 0.005549 s: group.cases_on 0.005179 s: group.no_confusion_type 0.001875 s: group.no_confusion 0.004363 s: group.mk.inj 0.005076 s: group.mk.inj_arrow 0.000369 s: real.continuous_at_rpow 0.007719 s: nnreal.continuous_at_rpow 0.000131 s: functor.add_const 0.000039 s: functor.add_const.mk 0.000074 s: functor.add_const.mk.equations._eqn_1 0.000394 s: _private.2579780349.from_components_aux._main 0.000037 s: _private.2579780349.from_components_aux 0.001528 s: multiset.zero_disjoint 0.000718 s: free_add_magma.length._main 0.000236 s: algebraic_geometry.PresheafedSpace.sizeof 0.000099 s: Set.subset 0.000028 s: Set.has_subset 0.000237 s: pSet.sep._main 0.000046 s: pSet.sep 0.002074 s: Set.sep._match_1 0.001694 s: Set.sep._match_2 0.001045 s: Set.sep._match_3 0.000570 s: Set.sep._match_4 0.001898 s: Set.sep._match_5 0.000629 s: Set.sep._match_6 0.000904 s: Set.sep._match_7 0.000620 s: Set.sep._proof_1 0.001399 s: Set.sep 0.000114 s: Set.has_sep 0.000154 s: pSet.powerset._main 0.000024 s: pSet.powerset 0.001261 s: Set.powerset._match_1 0.001174 s: Set.powerset._match_2 0.000938 s: Set.powerset._match_3 0.001064 s: Set.powerset._match_4 0.000795 s: Set.powerset._match_5 0.000778 s: Set.powerset._match_6 0.002645 s: Set.powerset._match_7 0.000483 s: Set.powerset._match_8 0.000304 s: Set.powerset._match_9 0.000251 s: Set.powerset._proof_1 0.000963 s: Set.powerset 0.004344 s: Set.Union_lem 0.003219 s: Set.Union._match_2 0.000629 s: Set.Union._match_3 0.000503 s: Set.Union._match_4 0.000471 s: Set.Union._proof_1 0.001334 s: Set.Union 0.000099 s: Set.union 0.000067 s: Set.has_union 0.000227 s: Set.pair_sep 0.000038 s: Set.prod 0.000082 s: Set.is_func 0.004122 s: matrix.diag_one 0.006021 s: matrix.trace_one 0.001273 s: category_theory.limits.diagram_iso_pair.equations._eqn_1 0.002043 s: parser.bounded.failure 0.000475 s: parser.bounded.foldr_core_zero 0.003215 s: parser.bounded.foldr_core 0.002178 s: continuous_on_iff 0.001013 s: list.nodupkeys_singleton 0.000366 s: alist.singleton._proof_1 0.000141 s: alist.singleton 0.000166 s: parser.many1 0.000571 s: parser.digit 0.000197 s: parser.nat._match_1 0.000201 s: parser.nat 0.000091 s: parser.numeral 0.000099 s: parser.numeral.equations._eqn_1 0.000218 s: equiv.has_one 0.000257 s: equiv.monoid._proof_1 0.000275 s: equiv.monoid._proof_2 0.000932 s: equiv.monoid 0.000806 s: equiv.monoid.equations._eqn_1 0.001888 s: direct_sum.gcomm_monoid 0.000285 s: mv_polynomial.is_homogeneous 0.004085 s: mv_polynomial.homogeneous_submodule._proof_1 0.040750 s: mv_polynomial.homogeneous_submodule._proof_2 0.011040 s: mv_polynomial.coeff_smul 0.005351 s: mv_polynomial.homogeneous_submodule._proof_3 0.002084 s: mv_polynomial.homogeneous_submodule 0.008277 s: direct_sum.gmonoid.of_add_submonoids._match_2 0.004516 s: direct_sum.gmonoid.of_add_submonoids._proof_2 0.004133 s: direct_sum.gmonoid.of_add_submonoids._match_5 0.004406 s: direct_sum.gmonoid.of_add_submonoids._proof_3 0.004653 s: direct_sum.gmonoid.of_add_submonoids 0.002371 s: direct_sum.gcomm_monoid.of_add_submonoids._proof_1 0.002906 s: direct_sum.gcomm_monoid.of_add_submonoids._proof_2 0.003012 s: direct_sum.gcomm_monoid.of_add_submonoids._proof_3 0.009913 s: direct_sum.gcomm_monoid.of_add_submonoids._match_1 0.006593 s: direct_sum.gcomm_monoid.of_add_submonoids._match_2 0.003055 s: direct_sum.gcomm_monoid.of_add_submonoids._proof_4 0.006057 s: direct_sum.gcomm_monoid.of_add_submonoids 0.016778 s: direct_sum.gcomm_monoid.of_submodules 0.012857 s: mv_polynomial.is_homogeneous_monomial 0.005121 s: mv_polynomial.is_homogeneous_C 0.020090 s: mv_polynomial.is_homogeneous_one 0.145445 s: mv_polynomial.homogenous_submodule_mul 0.090986 s: mv_polynomial.is_homogeneous.mul 0.131031 s: mv_polynomial.is_homogeneous.homogeneous_submodule.gcomm_monoid._proof_1 0.141674 s: mv_polynomial.is_homogeneous.homogeneous_submodule.gcomm_monoid 0.098022 s: mv_polynomial.is_homogeneous.homogeneous_submodule.gcomm_monoid.equations._eqn_1 0.000333 s: function.left_inverse.id 0.000075 s: is_min_on 0.007494 s: is_min_on.bicomp_mono 0.003830 s: option.decidable_forall_mem._main 0.000112 s: option.decidable_forall_mem 0.003820 s: intermediate_field.fixing_subgroup._proof_1 0.002981 s: intermediate_field.fixing_subgroup._proof_2 0.002570 s: intermediate_field.fixing_subgroup._proof_3 0.009112 s: intermediate_field.fixing_subgroup 0.001524 s: intermediate_field.fixing_subgroup_equiv._proof_4 0.000300 s: turing.tape.map 0.000320 s: turing.tape.move._main.equations._eqn_1 0.000162 s: turing.tape.move.equations._eqn_1 0.000240 s: turing.tape.map.equations._eqn_1 0.002622 s: turing.list_blank.cons_head_tail 0.001894 s: turing.list_blank.head_map 0.001864 s: turing.list_blank.tail_map 0.001054 s: turing.list_blank.map_cons 0.000249 s: turing.tape.move._main.equations._eqn_2 0.000158 s: turing.tape.move.equations._eqn_2 0.004370 s: turing.tape.map_move 0.000082 s: set.Ici.order_bot._proof_1 0.000232 s: set.Ici.order_bot._proof_2 0.000373 s: set.Ici.order_bot._proof_3 0.000797 s: set.Ici.order_bot._proof_4 0.000625 s: set.Ici.order_bot._proof_5 0.000492 s: set.Ici.order_bot._proof_6 0.003657 s: set.Ici.order_bot 0.000115 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_6 0.000735 s: dvd_of_mul_right_eq 0.000584 s: category_theory.limits.has_coequalizer_of_self 0.002456 s: category_theory.limits.coequalizer.π_of_eq 0.000361 s: category_theory.limits.coequalizer.π_of_self 0.000371 s: category_theory.limits.coequalizer.iso_target_of_self 0.002448 s: equiv.set_prod_equiv_sigma._proof_1 0.000550 s: option.decidable_exists_mem._match_1 0.000754 s: option.decidable_exists_mem._match_2 0.000488 s: option.decidable_exists_mem._main 0.000088 s: option.decidable_exists_mem._main._proof_1 0.000325 s: option.decidable_exists_mem._main.equations._eqn_1 0.000302 s: emetric_space.cases_on 0.000188 s: emetric_space.no_confusion_type 0.000411 s: emetric_space.no_confusion 0.002559 s: lie_module.is_irreducible 0.000304 s: slim_check.list.sampleable.equations._eqn_1 0.006154 s: pi_tensor_product.reindex._proof_7 0.005546 s: mv_polynomial.induction_on' 0.001591 s: finsupp.prod_map_domain_index 0.064038 s: mv_polynomial.rename_monomial 0.017444 s: mv_polynomial.coeff_rename_map_domain 0.002602 s: rack.pre_envel_group_rel'.cases_on 0.001479 s: rack.pre_envel_group_rel'.no_confusion_type 0.005173 s: rack.pre_envel_group_rel'.no_confusion 0.001283 s: rack.pre_envel_group_rel'.congr_mul.inj 0.000594 s: rack.pre_envel_group_rel'.congr_mul.inj_eq 0.001287 s: submonoid.topological_closure._proof_1 0.002429 s: submonoid.coe_mul_self_eq 0.002071 s: submonoid.top_closure_mul_self_subset 0.000751 s: submonoid.topological_closure._proof_2 0.000347 s: submonoid.topological_closure 0.006316 s: subring.topological_closure._proof_1 0.003824 s: subring.topological_closure._proof_2 0.000677 s: add_subgroup.topological_closure._proof_2 0.000607 s: set.mem_neg 0.000342 s: equiv.image_preimage 0.000668 s: homeomorph.image_preimage 0.000927 s: homeomorph.preimage_closure 0.000256 s: homeomorph.neg._proof_1 0.000176 s: homeomorph.neg._proof_2 0.000535 s: homeomorph.neg 0.001508 s: neg_closure 0.001156 s: add_subgroup.neg_coe_set 0.001237 s: add_subgroup.topological_closure._proof_3 0.001670 s: add_subgroup.topological_closure 0.000388 s: subring.topological_closure._proof_3 0.000326 s: subring.topological_closure._proof_4 0.000409 s: subring.topological_closure._proof_5 0.011061 s: subring.topological_closure 0.005429 s: subring.subring_topological_closure 0.000196 s: list.extractp._match_1 0.000537 s: list.extractp._main 0.000047 s: list.extractp 0.000722 s: list.extractp._main.equations._eqn_2 0.000338 s: list.extractp.equations._eqn_2 0.000060 s: complex.nondiscrete_normed_field.equations._eqn_1 0.000903 s: category_theory.cancel_epi_id 0.001319 s: category_theory.is_iso.of_epi_section 0.000192 s: turing.blank_rel.below._proof_1 0.016333 s: div_sub_same 0.001911 s: div_sub_one 0.010120 s: quaternion_group.a_one_pow 0.000491 s: pos_num.ldiff._main 0.000385 s: pos_num.ldiff._main.equations._eqn_5 0.000509 s: prod.rprod 0.000557 s: prod.rprod.drec 0.000012 s: Scott 0.000086 s: not_below 0.008288 s: emetric.complete_of_convergent_controlled_sequences 0.003154 s: metric.complete_of_convergent_controlled_sequences 0.018376 s: nnreal.of_real_sum_of_nonneg 0.000331 s: nnreal.tendsto_of_real 0.033662 s: nnreal.has_sum_of_real_of_nonneg 0.006532 s: ennreal.of_real_tsum_of_nonneg 0.008837 s: nnreal.lt_of_real_iff_coe_lt 0.001809 s: ennreal.lt_of_real_iff_to_real_lt 0.029528 s: ennreal.zero_sub 0.015098 s: ennreal.mem_Iio_self_add 0.033374 s: nnreal.sub_lt_self 0.041729 s: ennreal.sub_lt_self 0.011439 s: ennreal.mem_Ioo_self_sub_add 0.029596 s: ennreal.Icc_mem_nhds 0.221571 s: ennreal.nhds_of_ne_top 0.011016 s: ennreal.tendsto_nhds 0.002000 s: ennreal.tendsto_at_top 0.038710 s: ennreal.tendsto_at_top_zero 0.039724 s: measure_theory.Lp.tendsto_Lp_of_tendsto_ℒp 0.119436 s: measure_theory.Lp.complete_space_Lp_of_cauchy_complete_ℒp 0.060360 s: measurable_limit_of_tendsto_metric_ae 0.007832 s: filter.eventually_or_distrib_left 0.000536 s: filter.eventually_imp_distrib_left 0.000159 s: measure_theory.ae_imp_iff 0.061856 s: ae_lt_of_ess_sup_lt 0.014501 s: topological_add_group_is_uniform 0.008863 s: summable.vanishing 0.000265 s: set.finite.compl_mem_cofinite 0.001495 s: set.finite.eventually_cofinite_nmem 0.000668 s: finset.eventually_cofinite_nmem 0.003088 s: summable.tendsto_cofinite_zero 0.002158 s: nnreal.tendsto_cofinite_zero_of_summable 0.000392 s: ennreal.to_nnreal_apply_of_tsum_ne_top 0.000977 s: ennreal.summable_to_nnreal_of_tsum_ne_top 0.001155 s: ennreal.tendsto_cofinite_zero_of_tsum_lt_top 0.000390 s: ennreal.tendsto_at_top_zero_of_tsum_lt_top 0.001319 s: measure_theory.ae_lt_top' 0.008154 s: _private.3892377457.ae_measurable.is_lub_of_nonempty 0.007196 s: ae_measurable.is_lub 0.012666 s: ae_measurable_supr 0.000313 s: ae_measurable_zero 0.003050 s: list.ae_measurable_sum' 0.003256 s: multiset.ae_measurable_sum' 0.001997 s: finset.ae_measurable_sum' 0.001610 s: finset.ae_measurable_sum 0.003889 s: ae_measurable.ennreal_tsum 0.054521 s: ennreal.rpow_lt_rpow_iff 0.058147 s: ennreal.lt_rpow_one_div_iff 0.066686 s: _private.647069003.tsum_nnnorm_sub_ae_lt_top 0.046102 s: ennreal.tsum_eq_liminf_sum_nat 0.008069 s: monotone.supr_nat_add 0.007774 s: infi_ge_eq_infi_nat_add 0.003470 s: supr_infi_ge_nat_add 0.002378 s: filter.liminf_nat_add 0.046321 s: order_iso.liminf_apply 0.000267 s: ennreal.rpow_left_strict_mono_of_pos 0.017311 s: ennreal.rpow_left_injective 0.009585 s: ennreal.rpow_left_surjective 0.000424 s: ennreal.rpow_left_bijective 0.000395 s: filter.is_cobounded_ge_of_top 0.003794 s: filter.liminf_eq 0.008813 s: filter.liminf_le_of_frequently_le' 0.000171 s: filter.frequently_of_forall 0.099092 s: _private.225289761.lintegral_rpow_tsum_coe_nnnorm_sub_le_tsum 0.047226 s: ennreal.of_real_sum_of_nonneg 0.138458 s: _private.2138657141.lintegral_rpow_sum_coe_nnnorm_sub_le_rpow_tsum 0.015646 s: multiset.sum_induction_nonempty 0.002623 s: multiset.le_sum_nonempty_of_subadditive_on_pred 0.000944 s: multiset.map_eq_zero 0.001789 s: finset.le_sum_nonempty_of_subadditive_on_pred 0.001172 s: finset.le_sum_of_subadditive_on_pred 0.048988 s: measure_theory.snorm'_sum_le 0.105855 s: measure_theory.snorm'_norm 0.111779 s: _private.4139747223.snorm'_sum_norm_sub_le_tsum_of_cauchy_snorm' 0.016231 s: summable_of_nnnorm_bounded 0.001376 s: summable_of_summable_nnnorm 0.005038 s: summable.has_sum_iff_tendsto_nat 0.000468 s: filter.tendsto.add_const 0.056607 s: finset.sum_range_sub 0.035261 s: measure_theory.Lp.ae_tendsto_of_cauchy_snorm' 0.002475 s: galois_connection.monotone_intro 0.000373 s: galois_insertion.monotone_intro._proof_1 0.000117 s: galois_insertion.monotone_intro._proof_2 0.000081 s: galois_insertion.monotone_intro._proof_3 0.002122 s: galois_insertion.monotone_intro 0.001394 s: nnreal.coe_mono 0.000058 s: nnreal.gi._proof_1 0.000267 s: nnreal.gi 0.000808 s: nnreal.of_real_le_iff_le_coe 0.001440 s: ennreal.of_real_le_iff_le_to_real 0.023194 s: measure_theory.Lp.ae_tendsto_of_cauchy_snorm 0.036990 s: measure_theory.Lp.mem_ℒp_of_cauchy_tendsto 0.000556 s: ess_sup_congr_ae 0.062044 s: measure_theory.Lp.snorm_exponent_top_lim_eq_ess_sup_liminf 0.000291 s: ess_sup.equations._eqn_1 0.266563 s: filter.liminf_le_liminf 0.057827 s: ennreal.limsup_liminf_le_liminf_limsup 0.009221 s: ennreal.ess_sup_liminf_le 0.001791 s: measure_theory.Lp.snorm_exponent_top_lim_le_liminf_snorm_exponent_top 0.001040 s: filter.tendsto.nnrpow 0.001485 s: nnreal.continuous_at_rpow_const 0.000215 s: nnreal.continuous_rpow_const 0.048406 s: measure_theory.Lp.snorm'_lim_eq_lintegral_liminf 0.086814 s: measure_theory.Lp.snorm'_lim_le_liminf_snorm' 0.043195 s: measure_theory.Lp.snorm_lim_le_liminf_snorm 0.007375 s: filter.frequently_at_top 0.021552 s: measure_theory.Lp.cauchy_tendsto_of_tendsto 0.005580 s: measure_theory.Lp.cauchy_complete_ℒp 0.002198 s: measure_theory.Lp.complete_space 0.002781 s: measure_theory.Lp.complete_space.equations._eqn_1 0.000142 s: algebraic_geometry.Spec.LocallyRingedSpace._proof_1 0.031869 s: module.direct_limit 0.074997 s: module.direct_limit.of 0.097668 s: module.direct_limit.of_f 0.145572 s: module.direct_limit.exists_of 0.000260 s: measure_theory.simple_func.bounded_lattice._proof_1 0.000186 s: measure_theory.simple_func.bounded_lattice._proof_2 0.014217 s: measure_theory.simple_func.bounded_lattice._proof_3 0.000527 s: measure_theory.simple_func.bounded_lattice._proof_4 0.000448 s: measure_theory.simple_func.bounded_lattice._proof_5 0.000326 s: measure_theory.simple_func.bounded_lattice._proof_6 0.000396 s: measure_theory.simple_func.bounded_lattice._proof_7 0.000361 s: measure_theory.simple_func.bounded_lattice._proof_8 0.000327 s: measure_theory.simple_func.bounded_lattice._proof_9 0.000119 s: measure_theory.simple_func.order_top._proof_1 0.000148 s: measure_theory.simple_func.order_top._proof_2 0.002204 s: measure_theory.simple_func.order_top._proof_3 0.000297 s: measure_theory.simple_func.order_top._proof_4 0.000275 s: measure_theory.simple_func.order_top._proof_5 0.001416 s: measure_theory.simple_func.order_top 0.000627 s: measure_theory.simple_func.bounded_lattice._proof_11 0.000661 s: measure_theory.simple_func.bounded_lattice._proof_12 0.015561 s: measure_theory.simple_func.bounded_lattice 0.016445 s: measure_theory.simple_func.bounded_lattice.equations._eqn_1 0.000993 s: order_dual.complete_linear_order._proof_3 0.001852 s: zero_hom.comp._proof_1 0.000507 s: zero_hom.comp 0.000923 s: zero_hom.coe_comp 0.001527 s: zero_hom.comp_zero 0.000133 s: nat.lt_trans 0.000336 s: set.mem_union.elim 0.163123 s: ideal.is_integral_domain_map_C_quotient 0.016525 s: applicative_transformation.cases_on 0.000716 s: applicative_transformation.no_confusion_type 0.000794 s: applicative_transformation.no_confusion 0.001140 s: applicative_transformation.mk.inj 0.007201 s: pi.add_cancel_comm_monoid._proof_5 0.000911 s: nat.one_le_bit0_iff 0.001175 s: free_add_monoid.lift_apply 0.000148 s: bitvec.sbb 0.000032 s: bitvec.uborrow 0.000245 s: bitvec.sborrow._match_1 0.000079 s: bitvec.sborrow._main 0.000073 s: bitvec.sborrow._main.equations._eqn_1 0.004682 s: linear_map.coe_isometry_of_inner 0.017225 s: category_theory.monoidal.transport.equations._eqn_1 0.000474 s: uniform_space.completion.normed_group._proof_8 0.000404 s: category_theory.limits.id_zero 0.005713 s: category_theory.limits.iso_of_is_isomorphic_zero._proof_1 0.003873 s: filter.realizer.bind._match_2 0.007565 s: linear_isometry_equiv.comp_fderiv_within 0.036001 s: measurable_space.comap_bot 0.000390 s: hahn_series.coeff.add_monoid_hom._proof_2 0.000476 s: rand_g.next.equations._eqn_1 0.000148 s: category_theory.is_split_coequalizer.inhabited._proof_1 0.000127 s: category_theory.is_split_coequalizer.inhabited._proof_2 0.000161 s: category_theory.is_split_coequalizer.inhabited._proof_3 0.000099 s: category_theory.is_split_coequalizer.inhabited._proof_4 0.000625 s: category_theory.is_split_coequalizer.inhabited 0.000667 s: category_theory.is_split_coequalizer.inhabited.equations._eqn_1 0.014547 s: category_theory.functor.right_op._proof_1 0.004959 s: category_theory.functor.right_op._proof_2 0.002105 s: category_theory.functor.right_op 0.009781 s: category_theory.cofinal.extend_cone_cocone_to_cone._proof_1 0.003160 s: category_theory.cofinal.extend_cone_cocone_to_cone 0.015456 s: category_theory.cofinal.extend_cone_cone_to_cocone._proof_1 0.006109 s: category_theory.cofinal.extend_cone_cone_to_cocone 0.020317 s: category_theory.cofinal.extend_cone._proof_1 0.050706 s: category_theory.cofinal.extend_cone._proof_2 0.048551 s: category_theory.cofinal.extend_cone._proof_3 0.023946 s: category_theory.cofinal.extend_cone 0.013727 s: category_theory.limits.cones.whiskering._proof_1 0.020365 s: category_theory.limits.cones.whiskering._proof_2 0.021511 s: category_theory.limits.cones.whiskering._proof_3 0.011697 s: category_theory.limits.cones.whiskering 0.015550 s: category_theory.cofinal.limit_cone_comp_aux 0.021846 s: category_theory.cofinal.cones_equiv._proof_1 0.092327 s: category_theory.cofinal.cones_equiv._proof_2 0.029000 s: category_theory.cofinal.cones_equiv._proof_3 0.077528 s: category_theory.cofinal.cones_equiv._proof_4 0.289110 s: category_theory.cofinal.cones_equiv._proof_5 0.030407 s: category_theory.cofinal.cones_equiv 0.006156 s: category_theory.cofinal.is_limit_extend_cone_equiv 0.003401 s: category_theory.cofinal.limit_cone_of_comp 0.003012 s: category_theory.cofinal.limit_cone_of_comp.equations._eqn_1 0.001346 s: function.surjective.comm_monoid._proof_1 0.000597 s: function.surjective.comm_monoid._proof_2 0.000345 s: function.surjective.comm_monoid._proof_3 0.000635 s: function.surjective.comm_monoid._proof_4 0.000550 s: function.surjective.comm_monoid._proof_5 0.000780 s: function.surjective.comm_monoid._proof_6 0.002982 s: function.surjective.comm_monoid 0.003719 s: function.surjective.comm_monoid_with_zero._proof_2 0.000115 s: omega.nat.preterm.sizeof 0.000058 s: linear_ordered_comm_monoid_with_zero.lt._default 0.000032 s: linear_ordered_comm_group_with_zero.lt._default 0.000073 s: linear_ordered_comm_group_with_zero.lt._default.equations._eqn_1 0.000131 s: encodable.sizeof 0.000252 s: locally_constant.add_comm_semigroup._proof_1 0.001150 s: locally_constant.add_comm_semigroup._proof_2 0.000323 s: locally_constant.add_comm_semigroup 0.000186 s: locally_constant.add_comm_monoid._proof_1 0.000279 s: locally_constant.add_comm_monoid._proof_3 0.000344 s: locally_constant.add_comm_monoid._proof_4 0.000292 s: locally_constant.add_comm_monoid._proof_5 0.000157 s: locally_constant.add_comm_monoid._proof_6 0.001798 s: locally_constant.add_comm_monoid 0.000138 s: locally_constant.semiring._proof_1 0.000167 s: locally_constant.semiring._proof_2 0.000120 s: locally_constant.semiring._proof_3 0.000311 s: locally_constant.semiring._proof_4 0.000270 s: locally_constant.semiring._proof_5 0.000155 s: locally_constant.semiring._proof_6 0.000235 s: is_locally_constant.mul 0.000405 s: locally_constant.has_mul._proof_1 0.000263 s: locally_constant.has_mul 0.000382 s: locally_constant.mul_apply 0.000913 s: locally_constant.semigroup._proof_1 0.000149 s: locally_constant.semigroup 0.000136 s: locally_constant.monoid._proof_1 0.000076 s: locally_constant.has_one 0.000333 s: locally_constant.one_apply 0.000887 s: locally_constant.mul_one_class._proof_1 0.000765 s: locally_constant.mul_one_class._proof_2 0.000224 s: locally_constant.mul_one_class 0.000134 s: locally_constant.monoid._proof_2 0.000127 s: locally_constant.monoid._proof_3 0.000105 s: locally_constant.monoid._proof_4 0.000101 s: locally_constant.monoid._proof_5 0.000423 s: locally_constant.monoid._proof_6 0.000470 s: locally_constant.monoid._proof_7 0.002332 s: locally_constant.monoid 0.000175 s: locally_constant.semiring._proof_7 0.000129 s: locally_constant.semiring._proof_8 0.000132 s: locally_constant.semiring._proof_9 0.000303 s: locally_constant.semiring._proof_10 0.000344 s: locally_constant.semiring._proof_11 0.000952 s: locally_constant.mul_zero_class._proof_1 0.000816 s: locally_constant.mul_zero_class._proof_2 0.000234 s: locally_constant.mul_zero_class 0.000175 s: locally_constant.semiring._proof_12 0.000131 s: locally_constant.semiring._proof_13 0.001185 s: locally_constant.distrib._proof_1 0.001114 s: locally_constant.distrib._proof_2 0.000274 s: locally_constant.distrib 0.000157 s: locally_constant.semiring._proof_14 0.000144 s: locally_constant.semiring._proof_15 0.006095 s: locally_constant.semiring 0.000308 s: locally_constant.comm_semiring._proof_13 0.007212 s: frobenius.equations._eqn_1 0.000566 s: slim_check.testable.run_suite_aux._match_1 0.000237 s: slim_check.testable.run_suite_aux._match_1.equations._eqn_3 0.002193 s: unique_mdiff_within_at.mono 0.000843 s: int.add_lt_add_of_lt_of_le 0.000116 s: int.add_neg_of_neg_of_nonpos 0.000785 s: bilin_form.to_matrix_aux._proof_1 0.001206 s: bilin_form.to_matrix_aux._proof_2 0.013462 s: bilin_form.to_matrix_aux 0.069823 s: bilin_form.to_matrix'._proof_1 0.076760 s: bilin_form.to_matrix'._proof_2 0.025199 s: bilin_form.to_lin._proof_1 0.000681 s: bilin_form.to_lin._proof_3 0.006851 s: bilin_form.to_lin._proof_4 0.000333 s: bilin_form.to_lin._proof_5 0.014186 s: bilin_form.to_lin._proof_6 0.017350 s: bilin_form.to_lin._proof_7 0.251289 s: bilin_form.to_lin._proof_9 0.212672 s: bilin_form.to_lin 0.114535 s: bilin_form.ext_basis 0.025521 s: bilin_form.to_matrix_aux.equations._eqn_1 0.003218 s: matrix.to_bilin'_aux.equations._eqn_1 0.013675 s: matrix.to_bilin'_aux_std_basis 0.376602 s: to_bilin'_aux_to_matrix_aux 0.084506 s: bilin_form.to_matrix'._proof_3 0.225057 s: bilin_form.to_matrix'._proof_4 0.067736 s: bilin_form.to_matrix' 0.000575 s: bilin_form.comp_left.equations._eqn_1 0.081769 s: bilin_form.to_matrix'_apply 0.011221 s: bilin_form.comp_apply 0.024060 s: is_basis.total_repr 0.009807 s: linear_map.map_sum₂ 0.000368 s: bilin_form.to_lin'._proof_1 0.037593 s: bilin_form.to_lin' 0.027090 s: bilin_form.sum_left 0.026593 s: bilin_form.sum_right 0.029851 s: bilin_form.sum_repr_mul_repr_mul 0.178517 s: pi.is_basis_fun_repr 0.455275 s: bilin_form.to_matrix'_comp 0.057708 s: bilin_form.to_matrix'_comp_left 0.044350 s: bilin_form.mul_to_matrix' 0.015518 s: category_theory.mono_over.map_iso_counit_iso 0.005979 s: nat.mul_dvd_of_dvd_div 0.000196 s: nat.div_eq_of_eq_mul_left 0.009674 s: nat.div_mul_div 0.005356 s: nat.dvd_div_of_mul_dvd 0.002085 s: nat.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul 0.000659 s: int.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul 0.000364 s: uniform_add_group.drec 0.000536 s: category_theory.subobject.pullback 0.002512 s: category_theory.mono_over.pullback_id._proof_1 0.009388 s: category_theory.nat_trans.remove_op._proof_1 0.002826 s: category_theory.nat_trans.remove_op 0.004685 s: category_theory.nat_iso.remove_op._proof_1 0.006489 s: category_theory.nat_iso.remove_op._proof_2 0.001563 s: category_theory.nat_iso.remove_op 0.027271 s: adjunction.left_adjoints_coyoneda_equiv._proof_1 0.194513 s: adjunction.left_adjoints_coyoneda_equiv._proof_2 0.011928 s: adjunction.left_adjoints_coyoneda_equiv 0.001700 s: adjunction.left_adjoint_uniq 0.023168 s: adjunction.op_adjoint_op_of_adjoint._proof_1 0.023937 s: adjunction.op_adjoint_op_of_adjoint._proof_2 0.007675 s: adjunction.op_adjoint_op_of_adjoint 0.000628 s: adjunction.right_adjoint_uniq 0.006572 s: category_theory.over.map_pullback_adj._proof_1 0.014785 s: category_theory.over.map_pullback_adj._proof_2 0.021814 s: category_theory.over.map_pullback_adj._proof_3 0.044360 s: category_theory.over.map_pullback_adj._proof_4 0.065835 s: category_theory.over.map_pullback_adj._proof_5 0.199939 s: category_theory.over.map_pullback_adj._proof_6 0.254746 s: category_theory.over.map_pullback_adj._proof_7 0.067581 s: category_theory.over.map_pullback_adj 0.008298 s: category_theory.adjunction.equiv_homset_left_of_nat_iso._proof_1 0.004194 s: category_theory.adjunction.equiv_homset_left_of_nat_iso._proof_2 0.002370 s: category_theory.adjunction.equiv_homset_left_of_nat_iso 0.007570 s: category_theory.adjunction.of_nat_iso_left._proof_1 0.009001 s: category_theory.adjunction.of_nat_iso_left._proof_2 0.003956 s: category_theory.adjunction.of_nat_iso_left 0.005593 s: category_theory.adjunction.id._proof_1 0.005077 s: category_theory.adjunction.id._proof_2 0.003970 s: category_theory.adjunction.id 0.002206 s: category_theory.over.pullback_id 0.007055 s: category_theory.mono_over.pullback_id 0.002080 s: category_theory.subobject.pullback_id 0.001979 s: category_theory.subobject.functor._proof_1 0.009101 s: category_theory.mono_over.pullback_comp._proof_1 0.002707 s: category_theory.mono_over.pullback_comp._proof_2 0.008328 s: category_theory.mono_over.pullback_comp._proof_3 0.003419 s: category_theory.over.pullback_comp 0.018203 s: category_theory.mono_over.pullback_comp 0.004906 s: category_theory.subobject.pullback_comp 0.002445 s: category_theory.subobject.functor._proof_2 0.001858 s: category_theory.subobject.functor 0.001861 s: category_theory.subobject.functor.equations._eqn_1 0.000051 s: onote.has_one 0.000033 s: onote.has_one.equations._eqn_1 0.000087 s: encodable.decidable_eq_of_encodable._main._proof_1 0.000763 s: encodable.decidable_eq_of_encodable._main.equations._eqn_1 0.000379 s: encodable.decidable_eq_of_encodable.equations._eqn_1 0.001377 s: add_submonoid.eq_bot_iff_forall 0.000658 s: add_submonoid.closure_eq_of_le 0.004802 s: add_submonoid.closure_singleton_eq 0.000565 s: add_monoid_hom.mem_mrange 0.001086 s: add_submonoid.mem_closure_singleton 0.000986 s: add_submonoid.closure_singleton_zero 0.160644 s: stereo_to_fun.equations._eqn_1 0.028295 s: category_theory.monoidal_category.tensor_comp' 0.000329 s: Profinite.sizeof 0.000108 s: Profinite.has_sizeof_inst 0.000056 s: pnat.xgcd_type.has_sizeof 0.000077 s: pnat.xgcd_type.r 0.000054 s: pnat.xgcd_type.q 0.000025 s: pnat.xgcd_type.qp 0.000075 s: pnat.xgcd_type.finish 0.000116 s: pnat.xgcd_type.step 0.003675 s: reduce._main._pack._wf_rec_mk_dec_tactic._aux_1 0.002474 s: pnat.xgcd_type.step_wf 0.000361 s: pnat.xgcd_type.reduce._main._pack 0.001135 s: pnat.xgcd_type.reduce._main._pack.equations._eqn_1 0.000092 s: zsqrtd.nonnegg._main 0.000015 s: zsqrtd.nonnegg 0.000108 s: zsqrtd.nonneg._main 0.000056 s: zsqrtd.nonneg 0.004378 s: zsqrtd.nonneg_cases 0.000983 s: zsqrtd.nonnegg_cases_right 0.008867 s: zsqrtd.sq_le_of_le 0.026867 s: zsqrtd.nonnegg_comm 0.010918 s: zsqrtd.nonnegg_neg_pos 0.000599 s: zsqrtd.nonnegg_pos_neg 0.000199 s: zsqrtd.nonnegg_cases_left 0.009968 s: zsqrtd.sq_le_add 0.025784 s: zsqrtd.nonneg_add_lem 0.035284 s: zsqrtd.nonneg_add 0.005308 s: alg_equiv.of_alg_hom._proof_1 0.004991 s: alg_equiv.of_alg_hom._proof_2 0.013996 s: alg_equiv.of_alg_hom 0.025090 s: power_basis.lift._proof_1 0.024778 s: polynomial.eval₂_mod_by_monic_eq_self_of_root 0.036855 s: polynomial.aeval_mod_by_monic_eq_self_of_root 0.031424 s: power_basis.minpoly_gen._proof_1 0.038264 s: power_basis.minpoly_gen 0.006920 s: polynomial.monic_add_of_left 0.003476 s: polynomial.monic_sub_of_left 0.000091 s: polynomial.monic_X 0.003898 s: multiset.fold_hom 0.002490 s: finset.fold_hom 0.005093 s: finset.fold_op_rel_iff_and 0.002922 s: finset.fold_max_lt 0.080315 s: polynomial.degree_sum_fin_lt 0.070672 s: power_basis.minpoly_gen_monic 0.050349 s: power_basis.minpoly_gen.equations._eqn_1 0.203867 s: power_basis.aeval_minpoly_gen 0.079014 s: power_basis.is_integral_gen 0.012609 s: polynomial.eval₂_eq_sum_range' 0.023382 s: polynomial.aeval_eq_sum_range' 0.043848 s: power_basis.nat_degree_minpoly_gen 0.000455 s: fin.coe_eq_val 0.011801 s: finset.sum_fin_eq_sum_range 0.137730 s: power_basis.dim_le_nat_degree_of_root 0.059835 s: power_basis.nat_degree_minpoly 0.013690 s: power_basis.nat_degree_lt_nat_degree 0.183368 s: power_basis.constr_pow_aeval 0.117167 s: power_basis.constr_pow_algebra_map 0.111383 s: power_basis.lift._proof_2 0.064501 s: power_basis.mem_span_pow 0.041754 s: power_basis.dim_ne_zero 0.040717 s: power_basis.exists_eq_aeval 0.143614 s: power_basis.constr_pow_mul 0.148442 s: power_basis.lift._proof_3 0.084194 s: power_basis.lift._proof_4 0.070520 s: power_basis.lift 0.040152 s: power_basis.equiv._proof_1 0.039486 s: power_basis.equiv._proof_2 0.054784 s: power_basis.lift_aeval 0.088241 s: power_basis.equiv._proof_3 0.086406 s: power_basis.equiv._proof_4 0.016960 s: power_basis.equiv 0.246328 s: power_basis.equiv_adjoin_simple._proof_1 0.000223 s: power_basis.equiv_adjoin_simple._proof_2 0.252445 s: power_basis.equiv_adjoin_simple._proof_3 0.243011 s: minpoly.eq_of_algebra_map_eq 0.017658 s: intermediate_field.adjoin.power_basis.gen_eq 0.827550 s: power_basis.equiv_adjoin_simple._proof_4 0.773732 s: power_basis.equiv_adjoin_simple 0.014311 s: lie_subalgebra.add_mem 0.007871 s: lie_subalgebra.normalizer._proof_2 0.003276 s: div_right_injective 0.006159 s: pnat.mk_bit1 0.003551 s: real.cos_le_one 0.000800 s: real.cos_mem_Icc 0.000347 s: set.surj_on.subset_range 0.032954 s: real.surj_on_cos 0.000304 s: real.range_cos 0.000605 s: finset.lt_iff_ssubset 0.004441 s: fintype.well_founded_of_trans_of_irrefl 0.001870 s: finset.exists_minimal 0.002527 s: set.Ioo.infinite 0.000169 s: set.Icc.infinite 0.023808 s: real.range_cos_infinite 0.001449 s: finsupp.add_comm_monoid.equations._eqn_1 0.026534 s: algebra.adjoin_res 0.003763 s: category_theory.adjunction.right_adjoint_of_equiv._proof_1 0.004059 s: _private.4125180357.he' 0.006598 s: category_theory.adjunction.right_adjoint_of_equiv._proof_2 0.004122 s: category_theory.adjunction.right_adjoint_of_equiv 0.003615 s: category_theory.structured_arrow.map_id 0.037560 s: category_theory.Ran.loc._proof_1 0.068464 s: category_theory.Ran.loc 0.000534 s: category_theory.Ran.equiv._proof_1 0.007026 s: category_theory.Ran._proof_1 0.004544 s: category_theory.Ran._proof_2 0.000344 s: category_theory.Ran.equiv._proof_2 0.002925 s: category_theory.Ran.equiv._proof_3 0.030689 s: category_theory.Ran.loc_map 0.058216 s: category_theory.Ran.equiv._proof_4 0.000526 s: category_theory.Ran.equiv._proof_5 0.058117 s: category_theory.Ran.cone._proof_1 0.015756 s: category_theory.Ran.cone 0.006393 s: category_theory.limits.cone.whisker_π 0.004156 s: category_theory.whisker_left_app 0.011517 s: category_theory.limits.limit.lift_pre 0.057469 s: category_theory.Ran.equiv._proof_6 0.254904 s: category_theory.Ran.equiv._proof_7 0.003715 s: category_theory.structured_arrow.mk_hom_eq_self 0.524047 s: category_theory.Ran.equiv._proof_8 0.048263 s: category_theory.Ran.equiv 0.011639 s: category_theory.Ran._proof_3 0.060884 s: category_theory.Ran._proof_4 0.013842 s: category_theory.Ran 0.000269 s: category_theory.Ran.adjunction._proof_1 0.003496 s: category_theory.adjunction.adjunction_of_equiv_right._proof_1 0.006250 s: category_theory.adjunction.adjunction_of_equiv_right._proof_2 0.003331 s: category_theory.adjunction.adjunction_of_equiv_right 0.000494 s: category_theory.Ran.adjunction._proof_2 0.000378 s: category_theory.Ran.adjunction._proof_3 0.000386 s: category_theory.Ran.adjunction._proof_4 0.002391 s: category_theory.Ran.adjunction._proof_5 0.004423 s: category_theory.Ran.adjunction 0.006204 s: category_theory.Ran.adjunction.equations._eqn_1 0.004499 s: linear_map.snd.equations._eqn_1 0.001675 s: parser.static.mmap._main.equations._eqn_1 0.000511 s: parser.static.mmap.equations._eqn_1 0.000877 s: equiv.psigma_equiv_sigma._match_1.equations._eqn_1 0.006225 s: complex.abs_exp_eq_iff_re_eq 0.003549 s: comm_ring.cases_on 0.002171 s: comm_ring.no_confusion_type 0.002049 s: comm_ring.no_confusion 0.007313 s: comm_ring.mk.inj 0.003880 s: category_theory.limits.coprod.symmetry' 0.002345 s: category_theory.limits.coprod.symmetry 0.000077 s: hyperreal.st 0.000089 s: hyperreal.st.equations._eqn_1 0.001181 s: hyperreal.st_of_is_st 0.000067 s: hyperreal.st_id_real 0.000066 s: hyperreal.exists_st_iff_not_infinite 0.000074 s: hyperreal.infinite_iff_not_exists_st 0.000764 s: hyperreal.st_infinite 0.000089 s: hyperreal.is_st_st_of_is_st 0.000084 s: hyperreal.is_st_st_of_exists_st 0.000047 s: hyperreal.is_st_st' 0.073661 s: hyperreal.st_inv 0.000230 s: category_theory.adjunction.inhabited 0.000253 s: category_theory.adjunction.inhabited.equations._eqn_1 0.010644 s: set.preimage_const_add_Ici 0.003872 s: set.preimage_const_add_Iic 0.007829 s: set.preimage_const_add_Icc 0.003939 s: turing.TM1.supports_stmt._main 0.000116 s: turing.TM1.supports_stmt 0.000166 s: turing.TM1.supports 0.000296 s: turing.TM0.supports 0.002447 s: turing.TM1.stmts₁._main 0.000076 s: turing.TM1.stmts₁ 0.000154 s: turing.TM1.stmts 0.000344 s: turing.TM1to0.tr_stmts 0.000821 s: finset.some_mem_insert_none 0.013009 s: turing.TM1.stmts₁_self 0.000556 s: turing.TM1to0.tr_stmts.equations._eqn_1 0.000479 s: turing.TM1.stmts.equations._eqn_1 0.002064 s: turing.TM1.stmts₁._main.equations._eqn_1 0.000552 s: turing.TM1.stmts₁.equations._eqn_1 0.001623 s: turing.TM1.stmts₁._main.equations._eqn_2 0.000339 s: turing.TM1.stmts₁.equations._eqn_2 0.001881 s: turing.TM1.stmts₁._main.equations._eqn_3 0.000468 s: turing.TM1.stmts₁.equations._eqn_3 0.002102 s: turing.TM1.stmts₁._main.equations._eqn_4 0.000376 s: turing.TM1.stmts₁.equations._eqn_4 0.000504 s: turing.TM1.stmts₁._main.equations._eqn_5 0.000169 s: turing.TM1.stmts₁.equations._eqn_5 0.000364 s: turing.TM1.stmts₁._main.equations._eqn_6 0.000180 s: turing.TM1.stmts₁.equations._eqn_6 0.006944 s: turing.TM1.stmts₁_trans 0.003151 s: turing.TM1.stmts_trans 0.001699 s: turing.TM1.supports_stmt._main.equations._eqn_1 0.000245 s: turing.TM1.supports_stmt.equations._eqn_1 0.001056 s: turing.TM1.supports_stmt._main.equations._eqn_2 0.000177 s: turing.TM1.supports_stmt.equations._eqn_2 0.000783 s: turing.TM1.supports_stmt._main.equations._eqn_3 0.000161 s: turing.TM1.supports_stmt.equations._eqn_3 0.001398 s: turing.TM1.supports_stmt._main.equations._eqn_4 0.000243 s: turing.TM1.supports_stmt.equations._eqn_4 0.000526 s: turing.TM1.supports_stmt._main.equations._eqn_5 0.000186 s: turing.TM1.supports_stmt.equations._eqn_5 0.012204 s: turing.TM1.stmts₁_supports_stmt_mono 0.003632 s: turing.TM1.stmts_supports_stmt 0.034625 s: turing.TM1to0.tr_supports 0.000115 s: expr.coord.lam_var_type.inj 0.000367 s: matrix.minor_empty 0.006135 s: category_theory.limits.is_colimit_of_reflects 0.024482 s: category_theory.limits.preserves_colimit_of_reflects_of_preserves 0.002899 s: category_theory.limits.preserves_colimits_of_shape_of_reflects_of_preserves 0.000793 s: category_theory.limits.preserves_colimits_of_reflects_of_preserves 0.000867 s: category_theory.limits.preserves_colimits_of_reflects_of_preserves.equations._eqn_1 0.007159 s: add_subgroup.fintype_bot._proof_1 0.000274 s: add_subgroup.fintype_bot 0.009139 s: AddCommGroup.has_limit.lift._proof_1 0.013577 s: AddCommGroup.has_limit.lift._proof_2 0.003995 s: AddCommGroup.has_limit.lift 0.030502 s: perfect_closure.comm_monoid._match_1 0.007057 s: perfect_closure.comm_monoid._match_2 0.001570 s: perfect_closure.comm_monoid._match_3 0.001898 s: perfect_closure.comm_monoid._proof_1 0.021508 s: perfect_closure.comm_monoid._match_4 0.005451 s: perfect_closure.comm_monoid._proof_2 0.002226 s: perfect_closure.comm_monoid._proof_3 0.000711 s: perfect_closure.comm_monoid._proof_4 0.001459 s: perfect_closure.comm_monoid._proof_6 0.001420 s: perfect_closure.comm_monoid._proof_7 0.020637 s: perfect_closure.comm_monoid._match_6 0.005376 s: perfect_closure.comm_monoid._match_7 0.002761 s: perfect_closure.comm_monoid._proof_8 0.003961 s: perfect_closure.comm_monoid 0.032197 s: _private.2339548275.add_aux_right 0.044790 s: _private.751165703.add_aux_left 0.039250 s: perfect_closure.has_add._proof_1 0.026418 s: perfect_closure.has_add 0.040833 s: perfect_closure.comm_ring._match_9 0.016080 s: perfect_closure.comm_ring._match_10 0.004193 s: perfect_closure.comm_ring._match_10.equations._eqn_1 0.001916 s: partition 0.000186 s: partition.parts 0.000213 s: partition.cases_on 0.000264 s: partition.no_confusion_type 0.000425 s: partition.no_confusion 0.000307 s: partition.mk.inj 0.000314 s: partition.mk.inj_arrow 0.002630 s: partition.ext_iff 0.000382 s: measure_theory.outer_measure.mk_metric 0.000503 s: measure_theory.measure.mk_metric._proof_1 0.000562 s: measure_theory.measure.mk_metric 0.000361 s: measure_theory.measure.hausdorff_measure 0.000794 s: measure_theory.dimH 0.000622 s: set.eq_sep_of_subset 0.001074 s: turing.evals_to.cases_on 0.001699 s: turing.evals_to.no_confusion_type 0.003437 s: turing.evals_to.no_confusion 0.001015 s: turing.evals_to.mk.inj 0.000988 s: turing.evals_to.mk.inj_arrow 0.002459 s: pi.add_right_cancel_monoid._proof_3 0.000024 s: format.color.to_string 0.000336 s: format.color.to_string._main.equations._eqn_1 0.000098 s: format.color.to_string.equations._eqn_1 0.001460 s: dfinsupp.mem_support_iff 0.007636 s: dfinsupp.decidable_eq._match_1 0.006663 s: dfinsupp.decidable_eq._match_1.equations._eqn_1 0.000549 s: cfilter.cases_on 0.000500 s: cfilter.no_confusion_type 0.001490 s: cfilter.no_confusion 0.002598 s: cfilter.mk.inj 0.004340 s: cfilter.mk.inj_eq 0.049477 s: perfect_closure.comm_ring._match_12 0.013247 s: perfect_closure.comm_ring._match_13 0.002175 s: perfect_closure.comm_ring._match_14 0.000989 s: perfect_closure.comm_ring._proof_22 0.000896 s: filter.eventually_le.is_max_filter 0.000471 s: filter.eventually_le.is_local_max_on 0.001949 s: mvpfunctor.M.path_dest_right.equations._eqn_1 0.006355 s: add_equiv.arrow_congr._proof_1 0.002976 s: add_equiv.arrow_congr._proof_2 0.002030 s: add_equiv.arrow_congr._proof_3 0.002667 s: add_equiv.arrow_congr 0.005225 s: linear_map.ring_lmap_equiv_self._proof_1 0.004068 s: linear_map.ring_lmap_equiv_self._proof_2 0.000398 s: linear_map.ring_lmap_equiv_self._proof_3 0.009912 s: linear_map.ring_lmap_equiv_self._proof_4 0.008651 s: linear_map.ring_lmap_equiv_self._proof_5 0.008555 s: linear_map.ring_lmap_equiv_self 0.007583 s: finsupp.lift 0.033583 s: Module.adj._proof_2 0.013806 s: submodule.restricted_module_is_scalar_tower 0.009300 s: submodule.restricted_module_is_scalar_tower.equations._eqn_1 0.001159 s: category_theory.discrete.id_def 0.010613 s: normed_group_hom.has_add._proof_1 0.008200 s: normed_group_hom.has_add 0.000706 s: add_monoid_hom.neg_apply 0.000890 s: normed_group_hom.coe_to_add_monoid_hom 0.001470 s: normed_group_hom.has_neg._proof_1 0.000490 s: normed_group_hom.has_neg 0.000548 s: normed_group_hom.has_sub._proof_1 0.009304 s: normed_group_hom.has_sub._proof_2 0.000719 s: normed_group_hom.has_sub 0.002857 s: normed_group_hom.coe_inj 0.000311 s: normed_group_hom.coe_injective 0.000420 s: normed_group_hom.add_comm_group._proof_1 0.000389 s: normed_group_hom.add_comm_group._proof_2 0.000305 s: normed_group_hom.add_comm_group._proof_3 0.000364 s: normed_group_hom.add_comm_group._proof_4 0.018425 s: normed_group_hom.add_comm_group 0.010633 s: normed_group_hom.op_norm_zero 0.002198 s: normed_group_hom.mk_normed_group_hom_norm_le 0.018176 s: normed_group_hom.op_norm_add_le 0.000637 s: normed_group_hom.norm_def 0.001129 s: normed_group_hom.coe_neg 0.005466 s: normed_group_hom.op_norm_neg 0.004476 s: normed_group_hom.to_semi_normed_group._proof_1 0.000157 s: normed_group_hom.to_semi_normed_group 0.002816 s: onote.NF_below_zero 0.000485 s: onote.NF.zero_of_zero 0.000122 s: tactic.simp_intros_config 0.000164 s: tactic.simp_config.sizeof 0.000034 s: tactic.simp_config.has_sizeof_inst 0.000046 s: tactic.simp_intros_config.sizeof 0.000018 s: tactic.simp_intros_config.has_sizeof_inst 0.008120 s: add_monoid_algebra.single_zero_ring_hom.equations._eqn_1 0.000075 s: io.mode.rec_on 0.000365 s: triv_sq_zero_ext.snd_add 0.000178 s: triv_sq_zero_ext.snd_hom._proof_1 0.000523 s: triv_sq_zero_ext.snd_smul 0.000797 s: triv_sq_zero_ext.snd_hom._proof_2 0.004944 s: triv_sq_zero_ext.snd_hom 0.000225 s: triv_sq_zero_ext.inl_one 0.000245 s: triv_sq_zero_ext.inl_hom._proof_1 0.002042 s: triv_sq_zero_ext.inl_mul 0.000383 s: triv_sq_zero_ext.inl_hom._proof_2 0.000085 s: triv_sq_zero_ext.has_zero 0.000249 s: triv_sq_zero_ext.inl_zero 0.000255 s: triv_sq_zero_ext.inl_hom._proof_3 0.002616 s: triv_sq_zero_ext.inl_add 0.000330 s: triv_sq_zero_ext.inl_hom._proof_4 0.015295 s: triv_sq_zero_ext.inl_hom 0.000809 s: triv_sq_zero_ext.algebra._proof_1 0.000473 s: triv_sq_zero_ext.algebra._proof_2 0.000324 s: triv_sq_zero_ext.algebra._proof_3 0.000354 s: triv_sq_zero_ext.algebra._proof_4 0.002956 s: triv_sq_zero_ext.algebra._proof_5 0.013761 s: triv_sq_zero_ext.algebra._proof_6 0.006455 s: triv_sq_zero_ext.algebra 0.001601 s: triv_sq_zero_ext.inr_add 0.000287 s: triv_sq_zero_ext.inr_hom._proof_1 0.001266 s: triv_sq_zero_ext.inr_smul 0.002045 s: triv_sq_zero_ext.inr_hom._proof_2 0.008259 s: triv_sq_zero_ext.inr_hom 0.005007 s: triv_sq_zero_ext.inr_mul_inr 0.001009 s: exterior_algebra.ι_inv._proof_1 0.046984 s: exterior_algebra.ι_inv 0.054333 s: exterior_algebra.ι_inv.equations._eqn_1 0.000468 s: sym2.mem 0.000125 s: sym2.has_mem 0.002353 s: simple_graph.matching 0.000217 s: simple_graph.matching.edges 0.000133 s: simple_graph.matching.support 0.000054 s: simple_graph.matching.is_perfect 0.000089 s: simple_graph.matching.is_perfect.equations._eqn_1 0.000121 s: sum.bind._main 0.000056 s: sum.bind 0.005721 s: sum.monad 0.000255 s: sum.traverse._main 0.000120 s: sum.traverse 0.000093 s: sum.traversable 0.000470 s: sum.traverse._main.equations._eqn_1 0.000299 s: sum.traverse.equations._eqn_1 0.000272 s: sum.traverse._main.equations._eqn_2 0.000332 s: sum.traverse.equations._eqn_2 0.004385 s: sum.map_traverse 0.001666 s: category_theory.cofinal.hom_to_lift.equations._eqn_1 0.000089 s: simps_cfg.not_recursive 0.001515 s: pi.has_continuous_mul 0.003577 s: pi.topological_group 0.006924 s: pi.topological_group.equations._eqn_1 0.002492 s: subsemiring.to_add_submonoid_strict_mono 0.000252 s: num.of_nat_inj 0.003900 s: tactic_doc._1134970138 0.006910 s: function.injective.comm_monoid_with_zero._proof_4 0.002946 s: category_theory.thin_skeleton.map₂._match_2.equations._eqn_1 0.003910 s: Top.prelocal_predicate.cases_on 0.005383 s: Top.prelocal_predicate.no_confusion_type 0.003483 s: Top.prelocal_predicate.no_confusion 0.005376 s: Top.prelocal_predicate.mk.inj 0.000888 s: polynomial.map_div_by_monic 0.478399 s: polynomial.map_div 0.000035 s: computability.decode_pos_num 0.000041 s: computability.decode_pos_num.equations._eqn_1 0.013774 s: smooth_ring.drec 0.001360 s: znum.cast_succ 0.006228 s: con.monoid.equations._eqn_1 0.000224 s: option.has_to_string._match_1 0.000035 s: computability.unary_decode_nat 0.000045 s: computability.unary_decode_nat.equations._eqn_1 0.041621 s: tensor_product.assoc_symm_tmul 0.024256 s: ideal.mem_Sup_of_mem 0.031094 s: unique_diff_within_at.eq_deriv 0.003621 s: has_deriv_within_at.deriv_within 0.054683 s: has_deriv_within_at.ccosh 0.074088 s: deriv_within_ccosh 0.000495 s: continuous_map.C._proof_1 0.015607 s: continuous_map.C._proof_2 0.006563 s: continuous_map.C._proof_3 0.006957 s: continuous_map.C._proof_4 0.006184 s: continuous_map.C._proof_5 0.002495 s: continuous_map.C 0.007285 s: continuous_map_algebra._proof_2 0.002265 s: add_subgroup.mem_comap 0.002302 s: add_subgroup.mem_map 0.011835 s: add_subgroup.mem_sup_left 0.007064 s: add_subgroup.mem_sup_right 0.002777 s: add_subgroup.map_le_iff_le_comap 0.000416 s: add_subgroup.gc_map_comap 0.000486 s: add_subgroup.le_comap_map 0.004302 s: add_subgroup.comap_mono 0.008637 s: add_subgroup.ker_le_comap 0.014620 s: add_subgroup.comap_map_eq 0.008857 s: add_subgroup.comap_map_eq_self 0.006252 s: add_monoid_hom.ker_eq_bot_iff 0.008306 s: add_subgroup.comap_map_eq_self_of_injective 0.000263 s: quaternion.of_complex._proof_1 0.000937 s: quaternion.ext 0.000612 s: quaternion.coe_complex_re 0.006268 s: quaternion.mul_re 0.000303 s: quaternion.coe_complex_im_i 0.000309 s: quaternion.coe_complex_im_j 0.000331 s: quaternion.coe_complex_im_k 0.007121 s: quaternion.mul_im_i 0.008813 s: quaternion.mul_im_j 0.003795 s: quaternion.mul_im_k 0.020291 s: quaternion.coe_complex_mul 0.000255 s: quaternion.of_complex._proof_2 0.003914 s: quaternion.add_re 0.002243 s: quaternion.add_im_j 0.000928 s: quaternion.add_im_k 0.008275 s: quaternion.coe_complex_add 0.034435 s: quaternion.of_complex._proof_3 0.058218 s: quaternion.of_complex 0.019345 s: category_theory.over.map_comp.equations._eqn_1 0.013456 s: dfinsupp.lift_add_hom_single_add_hom 0.000427 s: Profinite.compact_space 0.000205 s: Profinite.is_t2 0.000143 s: Profinite.t2_space 0.001328 s: Profinite.to_CompHaus._proof_1 0.001253 s: Profinite.to_CompHaus._proof_2 0.003193 s: Profinite.to_CompHaus 0.000320 s: Profinite.to_CompHaus_obj_to_Top 0.071549 s: CommRing.category_theory.forget₂.category_theory.full._proof_1 0.002153 s: category_theory.sieve.union_apply 0.014575 s: bounded_distrib_lattice.cases_on 0.004812 s: equiv.image._proof_2 0.008192 s: equiv.image._proof_3 0.011132 s: equiv.image._proof_4 0.003999 s: equiv.image 0.003737 s: equiv.image.equations._eqn_1 0.000643 s: category_theory.sigma.map 0.004524 s: category_theory.sigma.desc_uniq._match_1 0.011705 s: category_theory.sigma.desc_uniq._proof_1 0.009255 s: category_theory.sigma.desc_uniq 0.017918 s: category_theory.sigma.incl_comp_map 0.066507 s: category_theory.sigma.map_comp 0.127724 s: category_theory.sigma.map_comp_hom_app 0.009429 s: filter.realizer.bind._match_1 0.009840 s: filter.realizer.bind._match_9 0.003386 s: filter.realizer.bind._match_10 0.000289 s: filter.realizer.cases_on 0.000646 s: cfilter.mem_to_filter_sets 0.001670 s: filter.realizer.mem_sets 0.003328 s: filter.realizer.bind._match_11 0.004729 s: filter.realizer.bind._match_11.equations._eqn_1 0.000278 s: category_theory.biprod.gaussian._proof_13 0.000729 s: ordinal.monoid._match_11.equations._eqn_1 0.001357 s: add_monoid_hom.cancel_left 0.000176 s: ring_quot.ring._proof_1 0.000163 s: ring_quot.ring._proof_2 0.000125 s: ring_quot.ring._proof_3 0.000549 s: ring_quot.ring._proof_4 0.000377 s: ring_quot.ring._proof_5 0.005851 s: ring_quot.ring._proof_6 0.012308 s: ring_quot.ring._proof_7 0.000242 s: ring_quot.ring._proof_8 0.000137 s: ring_quot.ring._proof_9 0.000145 s: ring_quot.ring._proof_10 0.000162 s: ring_quot.ring._proof_11 0.001380 s: ring_quot.ring._proof_12 0.001719 s: ring_quot.ring._proof_13 0.000406 s: ring_quot.ring._proof_14 0.000222 s: ring_quot.ring._proof_15 0.004435 s: ring_quot.ring 0.000088 s: semimodule.add_comm_monoid_to_add_comm_group._proof_1 0.000074 s: semimodule.add_comm_monoid_to_add_comm_group._proof_2 0.000085 s: semimodule.add_comm_monoid_to_add_comm_group._proof_3 0.000398 s: semimodule.add_comm_monoid_to_add_comm_group._proof_4 0.000184 s: semimodule.add_comm_monoid_to_add_comm_group._proof_5 0.000098 s: semimodule.add_comm_monoid_to_add_comm_group._proof_6 0.000081 s: semimodule.add_comm_monoid_to_add_comm_group._proof_7 0.000079 s: semimodule.add_comm_monoid_to_add_comm_group._proof_8 0.000276 s: semimodule.add_comm_monoid_to_add_comm_group._proof_9 0.000154 s: semimodule.add_comm_monoid_to_add_comm_group._proof_10 0.000974 s: semimodule.add_comm_monoid_to_add_comm_group._proof_11 0.009966 s: semimodule.add_comm_monoid_to_add_comm_group._proof_12 0.000145 s: semimodule.add_comm_monoid_to_add_comm_group._proof_13 0.005463 s: semimodule.add_comm_monoid_to_add_comm_group 0.020277 s: algebra.semiring_to_ring._proof_1 0.019230 s: algebra.semiring_to_ring._proof_2 0.023582 s: algebra.semiring_to_ring._proof_3 0.023255 s: algebra.semiring_to_ring._proof_4 0.020603 s: algebra.semiring_to_ring._proof_5 0.018975 s: algebra.semiring_to_ring._proof_6 0.022024 s: algebra.semiring_to_ring._proof_7 0.017837 s: algebra.semiring_to_ring._proof_8 0.000143 s: algebra.semiring_to_ring._proof_9 0.000094 s: algebra.semiring_to_ring._proof_10 0.000065 s: algebra.semiring_to_ring._proof_11 0.002492 s: algebra.semiring_to_ring._proof_12 0.000651 s: algebra.semiring_to_ring._proof_13 0.000125 s: algebra.semiring_to_ring._proof_14 0.000197 s: algebra.semiring_to_ring._proof_15 0.012323 s: algebra.semiring_to_ring 0.000124 s: free_algebra.ring 0.036172 s: tensor_algebra.ring 0.064296 s: clifford_algebra.rel 0.009411 s: clifford_algebra 0.031788 s: clifford_algebra.ring 0.013110 s: multilinear_map.dom_dom_congr_equiv._proof_1 0.005177 s: multilinear_map.dom_dom_congr_equiv._proof_2 0.007413 s: multilinear_map.dom_dom_congr_equiv._proof_3 0.003040 s: multilinear_map.dom_dom_congr_equiv 0.002697 s: multilinear_map.dom_dom_congr_equiv_symm_apply 0.000569 s: homeomorph.measurable 0.000672 s: set.fintype_union.equations._eqn_1 0.002297 s: fpow_bit1_neg 0.000476 s: has_measurable_add₂.drec_on 0.000535 s: filter.has_basis.ex_mem 0.000126 s: filter.has_basis.nonempty 0.000147 s: tactic.interactive.mono_selection 0.000354 s: topological_space.sizeof 0.000101 s: topological_space.has_sizeof_inst 0.003677 s: int.modeq.modeq_add_fac 0.003397 s: category_theory.monoidal.left_unitor_hom_apply 0.000851 s: galois_coinsertion.lift_semilattice_inf._proof_2 0.001592 s: galois_coinsertion.lift_semilattice_inf._proof_3 0.001290 s: galois_coinsertion.lift_semilattice_inf 0.000529 s: galois_coinsertion.lift_lattice._proof_8 0.000058 s: holor.equations._eqn_1 0.001868 s: fin_two_equiv._match_1 0.000995 s: fin_two_equiv._match_1.equations._eqn_2 0.000180 s: filter.is_cobounded_under.equations._eqn_1 0.000953 s: times_cont_mdiff_at.equations._eqn_1 0.004348 s: topological_fiber_bundle_core.continuous_const_section 0.006622 s: model_with_corners_prod_to_local_equiv 0.007320 s: basic_smooth_bundle_core.mem_chart_source_iff 0.072469 s: basic_smooth_bundle_core.smooth_const_section 0.023771 s: emetric.inf_edist_le_Hausdorff_edist_of_mem 0.000406 s: emetric.exists_edist_lt_of_Hausdorff_edist_lt 0.041758 s: emetric.inf_edist_le_inf_edist_add_Hausdorff_edist 0.047004 s: emetric.Hausdorff_edist_triangle 0.000467 s: emetric.nonempty_compacts.emetric_space._proof_3 0.000297 s: emetric.nonempty_compacts.emetric_space._proof_4 0.000212 s: emetric.nonempty_compacts.emetric_space._proof_5 0.000246 s: emetric.nonempty_compacts.emetric_space._proof_6 0.009369 s: emetric.nonempty_compacts.emetric_space._proof_7 0.007210 s: ennreal.sup_eq_zero 0.001989 s: emetric.Hausdorff_edist_zero_iff_closure_eq_closure 0.004756 s: emetric.nonempty_compacts.emetric_space._proof_8 0.001774 s: emetric.nonempty_compacts.emetric_space 0.001130 s: emetric.Hausdorff_edist_le_of_mem_edist 0.014644 s: metric.Hausdorff_edist_ne_top_of_nonempty_of_bounded 0.002951 s: metric.nonempty_compacts.metric_space._proof_1 0.000820 s: metric.nonempty_compacts.metric_space 0.000080 s: metric.Hausdorff_dist 0.005894 s: emetric.Hausdorff_edist_empty 0.000280 s: emetric.nonempty_of_Hausdorff_edist_ne_top 0.001864 s: emetric.empty_or_nonempty_of_Hausdorff_edist_ne_top 0.000199 s: metric.Hausdorff_dist.equations._eqn_1 0.000530 s: metric.Hausdorff_dist_self_zero 0.000822 s: metric.Hausdorff_dist_empty 0.005199 s: metric.inf_dist_le_inf_dist_add_Hausdorff_dist 0.009324 s: metric.lipschitz_inf_dist_set 0.000206 s: multiset.nodup_inter_right 0.001389 s: category_theory.functor.sizeof 0.000092 s: category_theory.functor.has_sizeof_inst 0.003934 s: category_theory.adjunction.sizeof 0.000163 s: category_theory.adjunction.has_sizeof_inst 0.000389 s: category_theory.is_left_adjoint.sizeof 0.000490 s: category_theory.is_left_adjoint.mk.sizeof_spec 0.021123 s: matrix.ker_to_lin_eq_bot 0.008501 s: monoid_hom.lift_of_right_inverse_aux._proof_1 0.000461 s: multiset.filter_map._proof_1 0.000584 s: multiset.filter_map 0.001621 s: multiset.filter_map_cons_some 0.000114 s: fermat_42 0.000041 s: fermat_42.minimal 0.003172 s: fermat_42.exists_minimal 0.010761 s: int.exists_unit_of_abs 0.029030 s: int.gcd_eq_one_iff_coprime 0.002865 s: nat.exists_coprime 0.002625 s: nat.exists_coprime' 0.000173 s: nat.coprime.pow 0.035711 s: nat.pow_dvd_pow_iff 0.006824 s: int.pow_dvd_pow_iff 0.094828 s: fermat_42.mul 0.000092 s: int.nat_abs_ne_zero_of_ne_zero 0.012405 s: ne_zero_pow 0.150285 s: fermat_42.ne_zero 0.059863 s: fermat_42.coprime_of_minimal 0.008745 s: fermat_42.comm 0.000195 s: fermat_42.minimal_comm 0.160135 s: fermat_42.exists_odd_minimal 0.011088 s: fermat_42.neg_of_minimal 0.014467 s: fermat_42.exists_pos_odd_minimal 0.006558 s: int.sub_mod 0.000306 s: int.prime.dvd_mul' 0.206578 s: _private.3210516117.coprime_pow_two_sub_mul_of_even_odd 0.086814 s: _private.1196392417.coprime_pow_two_sub_mul_of_odd_even 0.009634 s: _private.2377068417.coprime_pow_two_sub_mul 0.228848 s: pythagorean_triple.coprime_classification 0.200108 s: pythagorean_triple.coprime_classification' 0.023107 s: is_coprime.pow_right 0.005041 s: is_coprime.pow_left 0.000208 s: is_coprime.pow 0.001527 s: add_eq_of_eq_sub 0.000259 s: int.prime.dvd_pow 0.000364 s: int.prime.dvd_pow' 0.000717 s: tactic.norm_num.is_prime_helper 0.005077 s: tactic.norm_num.min_fac_bit0 0.000838 s: units.coe_mk_of_mul_eq_one 0.001796 s: gcd_one_right 0.009519 s: gcd_pow_right_dvd_pow_gcd 0.001842 s: gcd_pow_left_dvd_pow_gcd 0.005373 s: pow_dvd_of_mul_eq_pow 0.015000 s: exists_associated_pow_of_mul_eq_pow 0.000451 s: int.coe_gcd 0.006412 s: units.coe_neg_one 0.050784 s: int.sqr_of_gcd_eq_one 0.006586 s: is_coprime.mul_add_left_left 0.002725 s: int.coprime_of_sqr_sum 0.003106 s: int.coprime_of_sqr_sum' 0.000774 s: int.eq_nat_abs_of_zero_le 0.000172 s: gt_of_gt_of_ge 0.000677 s: int.le_nat_abs 0.000957 s: int.abs_le_self_pow_two 0.001824 s: int.le_self_pow_two 0.364557 s: fermat_42.not_minimal 0.007950 s: not_fermat_42 0.021584 s: not_fermat_4 0.001650 s: 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category_theory.monad.forget_creates_colimits.lifted_cocone._proof_1 0.012540 s: category_theory.monad.forget_creates_colimits.lifted_cocone 0.013045 s: category_theory.monad.forget_creates_colimits.lifted_cocone.equations._eqn_1 0.005346 s: rat.mk_pnat._sunfold 0.004771 s: continuous_linear_equiv.prod._proof_1 0.000096 s: _nest_1_1.tactic.tactic_script 0.000033 s: _nest_1_1.tactic.tactic_script.base 0.000644 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.cases_on 0.000274 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.no_confusion_type 0.000997 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.no_confusion 0.000270 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.base_0.inj 0.000058 s: _nest_1_1.tactic.tactic_script.base.inj 0.000175 s: _nest_1_1.tactic.tactic_script.base.inj_eq 0.000560 s: subring.prod._proof_1 0.000561 s: subring.prod._proof_2 0.000417 s: subring.prod._proof_3 0.000415 s: subring.prod._proof_4 0.056064 s: subring.prod 0.001396 s: ring_hom.snd._proof_1 0.000595 s: ring_hom.snd._proof_2 0.000623 s: ring_hom.snd._proof_3 0.019239 s: ring_hom.snd 0.000212 s: subring.ext 0.003068 s: subring.mem_prod 0.001544 s: subring.mem_comap 0.000497 s: ring_hom.coe_snd 0.109979 s: subring.top_prod 0.010768 s: ctop.inter 0.003582 s: ctop.inter_mem 0.001824 s: ctop.realizer.nhds._match_1 0.000433 s: ctop.realizer.nhds._match_2 0.000722 s: ctop.inter_sub 0.004023 s: ctop.realizer.nhds._match_5 0.000946 s: ctop.realizer.nhds._match_6 0.000024 s: false_of_true_iff_false 0.004358 s: category_theory.prod.swap._proof_1 0.003317 s: category_theory.prod.swap._proof_2 0.003327 s: category_theory.prod.swap 0.004826 s: category_theory.curry.obj_map_app 0.005739 s: category_theory.prod.swap_map 0.005958 s: category_theory.limits.map_id_left_eq_curry_map 0.008468 s: category_theory.limits.map_id_right_eq_curry_swap_map 0.001762 s: category_theory.limits.limit.w_assoc 0.144214 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_10 0.000250 s: set.set_semiring.equations._eqn_1 0.040171 s: fin.pred_above_right_monotone 0.003258 s: equiv.of_left_inverse.equations._eqn_1 0.004766 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_4 0.001285 s: finsupp.subtype_domain_apply 0.014103 s: finsupp.restrict_support_equiv._proof_2 0.000119 s: real.arsinh 0.000093 s: real.sinh.equations._eqn_1 0.121379 s: real.sinh_eq 0.000172 s: real.arsinh.equations._eqn_1 0.001077 s: real.sqrt_sqr_eq_abs 0.016945 s: real.sqrt_le_sqrt 0.000231 s: real.abs_le_sqrt 0.016133 s: real.le_sqrt 0.089248 s: real.sqr_le 0.102430 s: real.le_sqrt_of_sqr_le 0.001171 s: real.sqrt_lt 0.105245 s: _private.3347386819.b_lt_sqrt_b_one_add_sq 0.062176 s: _private.1052191267.add_sqrt_one_add_pow_two_pos 0.139738 s: _private.1013918187.aux_lemma 0.043582 s: real.sinh_arsinh 0.000193 s: set_like.sizeof 0.000043 s: set_like.has_sizeof_inst 0.000250 s: option.some_ne_none 0.002689 s: option.ball_ne_none 0.000088 s: add_subgroup.nontrivial 0.000328 s: is_simple_add_group.eq_bot_or_eq_top_of_normal 0.000137 s: add_subgroup.normal.eq_bot_or_eq_top 0.005481 s: is_simple_add_group.subgroup.is_simple_lattice 0.002593 s: is_simple_add_group.subgroup.is_simple_lattice.equations._eqn_1 0.001779 s: typevec.pred_last._main.equations._eqn_2 0.000310 s: typevec.pred_last.equations._eqn_2 0.000134 s: rel.comp 0.000765 s: filter.rmap_sets 0.000170 s: rel.comp.equations._eqn_1 0.000357 s: rel.core.equations._eqn_1 0.006433 s: rel.core_comp 0.002495 s: filter.rmap_rmap 0.000654 s: rack.pre_envel_group_rel'.below 0.004280 s: rack.pre_envel_group_rel'.brec_on 0.002201 s: rack.to_envel_group.map_aux._main.equations._eqn_3 0.000318 s: rack.to_envel_group.map_aux.equations._eqn_3 0.001717 s: rack.to_envel_group.map_aux._main.equations._eqn_4 0.000680 s: rack.to_envel_group.map_aux.equations._eqn_4 0.000404 s: rack.to_envel_group.map_aux.equations._eqn_1 0.001889 s: rack.to_envel_group.map_aux._main.equations._eqn_2 0.000608 s: rack.to_envel_group.map_aux.equations._eqn_2 0.000365 s: shelf_hom.map_act' 0.000333 s: shelf_hom.map_act 0.026419 s: rack.to_envel_group.map_aux.well_def 0.004463 s: rack.to_envel_group.map._match_1 0.000263 s: rack.to_envel_group.map._proof_1 0.002476 s: quadratic_form.comp._proof_1 0.000136 s: category_theory.skeleton.equations._eqn_1 0.003034 s: enat.dom_of_lt 0.009852 s: nat.one_lt_cast 0.000174 s: set.Inter.equations._eqn_1 0.000297 s: set.maps_to_Inter 0.000382 s: set.maps_to_Inter_Inter 0.000398 s: set.image_Inter_subset 0.003239 s: set.inj_on.image_Inter_eq 0.005795 s: set.inj_on.image_bInter_eq 0.005008 s: finsupp.eq_zero_of_comap_domain_eq_zero 0.020451 s: monotone.iterate_ge_of_ge 0.000331 s: rack.pre_envel_group.rec_on 0.001182 s: list.find_index._main.equations._eqn_1 0.002353 s: uniform_space.completion.ring._proof_5 0.034632 s: hyperreal.infinite_pos_abs_iff_infinite_abs 0.000895 s: category_theory.costructured_arrow.map 0.005621 s: category_theory.costructured_arrow.map_mk 0.352746 s: add_sub_div_two_lt 0.000047 s: Magma 0.000173 s: Magma.has_coe_to_sort 0.000548 s: free_magma 0.000055 s: free_magma.has_mul 0.000127 s: free_magma.below 0.000700 s: free_magma.brec_on 0.000228 s: free_magma.cases_on 0.023148 s: free_magma.lift_aux._main 0.000078 s: free_magma.lift_aux 0.000108 s: free_magma.rec_on 0.006075 s: free_magma.lift_aux_unique 0.011676 s: smooth_semiring 0.003884 s: smooth_map_add_comm_monoid._proof_1 0.002189 s: smooth_map_add_comm_monoid._proof_2 0.001688 s: smooth_map_add_comm_monoid._proof_3 0.001851 s: smooth_map_add_comm_monoid._proof_4 0.004695 s: smooth_map_add_comm_monoid._proof_6 0.009327 s: smooth_map_add_comm_monoid 0.002324 s: smooth_semiring.compatible 0.001965 s: smooth_semiring.smooth_add 0.001190 s: smooth_semiring.to_has_smooth_add 0.004206 s: smooth_map_semiring._proof_1 0.003755 s: smooth_map_semiring._proof_2 0.003686 s: smooth_map_semiring._proof_3 0.003001 s: smooth_map_semiring._proof_4 0.006051 s: smooth_map_semiring._proof_5 0.004926 s: smooth_map_semiring._proof_6 0.007250 s: has_smooth_mul 0.004176 s: has_smooth_mul.smooth_mul 0.002518 s: smooth_mul 0.004193 s: smooth.mul 0.002254 s: smooth_map.has_mul._proof_1 0.002081 s: smooth_map.has_mul 0.006008 s: smooth_map_semigroup._proof_1 0.002279 s: smooth_map_semigroup 0.001919 s: smooth_map_monoid._proof_1 0.000955 s: smooth_map.has_one 0.003930 s: smooth_map_monoid._proof_2 0.006344 s: smooth_map_monoid._proof_3 0.004622 s: smooth_map_monoid._proof_4 0.005157 s: smooth_map_monoid._proof_5 0.008724 s: smooth_map_monoid._proof_6 0.009991 s: smooth_map_monoid._proof_7 0.019404 s: smooth_map_monoid 0.007760 s: smooth_semiring.smooth_mul 0.002441 s: smooth_semiring.to_has_smooth_mul 0.006083 s: smooth_map_semiring._proof_7 0.003987 s: smooth_map_semiring._proof_8 0.004898 s: smooth_map_semiring._proof_9 0.006205 s: smooth_map_semiring._proof_10 0.003135 s: smooth_map_semiring._proof_11 0.013143 s: smooth_map_semiring._proof_12 0.011637 s: smooth_map_semiring._proof_13 0.018348 s: smooth_map_semiring._proof_14 0.021886 s: smooth_map_semiring._proof_15 0.021804 s: smooth_map_semiring 0.011079 s: smooth_ring.smooth_mul 0.005151 s: smooth_ring.to_smooth_semiring 0.004265 s: smooth_map_ring._proof_5 0.000445 s: omega.int.preform.not.sizeof_spec 0.000783 s: pSet.arity.equiv._sunfold 0.000182 s: quadratic_form.inhabited 0.000219 s: quadratic_form.inhabited.equations._eqn_1 0.000237 s: computability.decode_num 0.000045 s: computability.decode_nat 0.000039 s: computability.decode_nat.equations._eqn_1 0.000104 s: has_coe_to_sort.sizeof 0.000810 s: has_coe_to_sort.mk.sizeof_spec 0.005725 s: prod.no_zero_smul_divisors._match_1 0.007812 s: prod.no_zero_smul_divisors._match_1.equations._eqn_1 0.000302 s: power_series.inv_units_sub 0.001866 s: power_series.coeff_zero_eq_constant_coeff_apply 0.000882 s: power_series.coeff_inv_units_sub 0.006826 s: 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0.011657 s: nat_smul_eq_nsmul 0.002193 s: add_comm_monoid.nat_semimodule.unique._proof_1 0.000157 s: add_comm_monoid.nat_semimodule.unique 0.000289 s: with_zero.inv.equations._eqn_1 0.001256 s: category_theory.monad.algebra_functor_of_monad_hom_obj_A 0.004078 s: category_theory.limits.cofan.mk_ι_app 0.000512 s: pi.monotone_apply.equations._eqn_1 0.000977 s: measurable_equiv.prod_assoc._proof_1 0.001188 s: with_bot.decidable_le._main._proof_2 0.000922 s: with_bot.decidable_le._main.equations._eqn_2 0.000404 s: with_bot.decidable_le.equations._eqn_2 0.004969 s: submonoid.prod_top 0.000274 s: encodable.fin_arrow 0.000307 s: equiv.pi_equiv_subtype_sigma._proof_1 0.001374 s: equiv.pi_equiv_subtype_sigma._proof_2 0.001810 s: equiv.pi_equiv_subtype_sigma._proof_3 0.000235 s: rec_heq_of_heq 0.003585 s: equiv.pi_equiv_subtype_sigma._match_1 0.003052 s: equiv.pi_equiv_subtype_sigma._proof_4 0.002512 s: equiv.pi_equiv_subtype_sigma 0.001486 s: encodable.fin_pi 0.000229 s: encodable.array 0.000230 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alternating_map.dom_coprod'._proof_4 0.006731 s: alternating_map.dom_coprod'._proof_5 0.009421 s: alternating_map.dom_coprod'._proof_6 0.019045 s: alternating_map.dom_coprod_apply 0.050439 s: alternating_map.dom_coprod.summand.equations._eqn_1 0.018133 s: multilinear_map.dom_coprod'._proof_1 0.008181 s: multilinear_map.dom_coprod'._proof_2 0.008774 s: multilinear_map.dom_coprod'._proof_3 0.013439 s: multilinear_map.dom_coprod'._proof_5 0.012627 s: multilinear_map.dom_coprod'._proof_6 0.023554 s: multilinear_map.dom_coprod'._proof_7 0.047703 s: multilinear_map.dom_coprod'._proof_8 0.029854 s: multilinear_map.dom_coprod'._proof_9 0.035405 s: multilinear_map.dom_coprod'._proof_10 0.022831 s: multilinear_map.dom_coprod' 0.007141 s: alternating_map.coe_add 0.031948 s: multilinear_map.dom_coprod'_apply 0.000271 s: quotient.lift_on'_mk' 0.124675 s: alternating_map.dom_coprod'._proof_7 0.017929 s: alternating_map.smul_apply 0.004183 s: alternating_map.coe_smul 0.144773 s: 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category_theory.functor.map_biproduct._proof_3 0.000816 s: category_theory.functor.map_biproduct._proof_4 0.007542 s: category_theory.functor.map_biproduct._proof_5 0.014173 s: category_theory.functor.map_biproduct._proof_6 0.003581 s: category_theory.functor.map_biproduct 0.002059 s: category_theory.Mat_.additive_obj_iso_biproduct 0.016800 s: category_theory.Mat_.additive_obj_iso_biproduct_hom 0.000333 s: preorder_hom.sizeof 0.000197 s: preorder_hom.has_sizeof_inst 0.000902 s: category_theory.abelian.non_preadditive_abelian.equations._eqn_1 0.000142 s: turing.partrec_to_TM2.cfg' 0.265028 s: filter.tendsto.neg_const_mul_at_top 0.021336 s: filter.tendsto_pow_at_top 0.068938 s: filter.tendsto_neg_const_mul_pow_at_top 0.003178 s: magma.free_semigroup.r.dcases_on 0.000302 s: magma.free_semigroup.of_mul_assoc_left 0.000141 s: magma.free_semigroup.of_mul_assoc 0.004569 s: magma.free_semigroup.semigroup._proof_1 0.000324 s: DFA.step 0.000080 s: DFA.eval_from 0.000172 s: DFA.start 0.000073 s: DFA.eval 0.000155 s: DFA.accept 0.000150 s: DFA.accepts 0.000197 s: DFA.accepts.equations._eqn_1 0.028583 s: has_sum.compl_add 0.006916 s: category_theory.nat_trans.remove_op_app 0.001072 s: tc 0.000371 s: ordered_add_comm_monoid.nsmul._default.equations._eqn_1 0.000660 s: category_theory.eq_to_iso.equations._eqn_1 0.000486 s: ring_aut.to_perm._proof_1 0.000282 s: ring_aut.to_perm._proof_2 0.009707 s: ring_aut.to_perm 0.004923 s: ring_aut.to_perm.equations._eqn_1 0.024053 s: order_dual.linear_ordered_add_comm_group.equations._eqn_1 0.005840 s: list.map₂._main 0.000117 s: list.map₂ 0.000585 s: list.map₂._main.equations._eqn_1 0.000182 s: list.map₂.equations._eqn_1 0.000254 s: list.map₂._main.equations._eqn_2 0.000102 s: list.map₂.equations._eqn_2 0.000284 s: list.map₂._main.equations._eqn_3 0.000128 s: list.map₂.equations._eqn_3 0.000767 s: list.map₂._main.equations._eqn_4 0.000325 s: list.map₂.equations._eqn_4 0.002588 s: list.length_map₂ 0.000609 s: vector.map₂._main._proof_1 0.000368 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nat.arithmetic_function.comm_semiring._proof_13 0.000170 s: nat.arithmetic_function.comm_semiring._proof_14 0.000223 s: nat.arithmetic_function.comm_semiring._proof_15 0.004954 s: nat.arithmetic_function.comm_semiring._proof_16 0.002268 s: nat.arithmetic_function.comm_semiring 0.000223 s: nat.arithmetic_function.comm_ring._proof_9 0.000166 s: nat.arithmetic_function.comm_ring._proof_10 0.000195 s: nat.arithmetic_function.comm_ring._proof_11 0.000454 s: nat.arithmetic_function.comm_ring._proof_12 0.000432 s: nat.arithmetic_function.comm_ring._proof_13 0.000237 s: nat.arithmetic_function.comm_ring._proof_14 0.000180 s: nat.arithmetic_function.comm_ring._proof_15 0.000269 s: nat.arithmetic_function.comm_ring._proof_16 0.022726 s: nat.arithmetic_function.comm_ring 0.019848 s: nat.arithmetic_function.coe_zeta_mul_coe_moebius 0.006906 s: nat.arithmetic_function.coe_zeta_mul_moebius 0.046340 s: nat.arithmetic_function.sum_eq_iff_sum_smul_moebius_eq 0.000145 s: quaternion_group.sizeof 0.000619 s: Ioo_mem_nhds_within_Iic 0.000294 s: Ico_mem_nhds_within_Iic 0.011078 s: strict_mono_pow 0.063426 s: finset.centroid.equations._eqn_1 0.000349 s: qpf.Mcongr.equations._eqn_1 0.000406 s: reader_t.bind.equations._eqn_1 0.006990 s: is_local_ring_hom.drec_on 0.002289 s: monoid_with_zero_hom.cases_on 0.002334 s: monoid_with_zero_hom.no_confusion_type 0.001367 s: monoid_with_zero_hom.no_confusion 0.000818 s: turing.to_partrec.cont.then._main 0.000014 s: turing.to_partrec.cont.then 0.000476 s: turing.to_partrec.cont.then._main.equations._eqn_1 0.000030 s: turing.to_partrec.cont.then.equations._eqn_1 0.000368 s: category_theory.limits.terminal_comparison 0.000377 s: category_theory.functor.empty_ext 0.008528 s: category_theory.limits.is_limit_map_cone_empty_cone_equiv._proof_1 0.005759 s: category_theory.limits.is_limit_map_cone_empty_cone_equiv 0.001104 s: category_theory.limits.is_terminal_obj_of_is_terminal 0.000315 s: category_theory.limits.is_limit_of_has_terminal_of_preserves_limit 0.001121 s: category_theory.limits.preserves_terminal.iso 0.002526 s: category_theory.limits.preserves_terminal.iso_hom 0.001197 s: category_theory.limits.terminal_comparison.category_theory.is_iso 0.001854 s: typevec.append1_drop_last 0.000137 s: typevec.append1_cases._proof_1 0.000128 s: typevec.append1_cases 0.000679 s: typevec.append1_cases_append1 0.000169 s: omega.clause.holds._sunfold 0.000227 s: omega.nat.preform.no_confusion_type 0.000765 s: omega.nat.preform.no_confusion 0.000148 s: omega.nat.preform.eq.inj 0.046416 s: _private.3439523209.a_soln_is_unique 0.000045 s: tactic.new_goals.all.inj 0.008606 s: quotient_add_group.left_rel._proof_1 0.000184 s: quotient_add_group.left_rel 0.000058 s: quotient_add_group.quotient 0.000350 s: add_subgroup.normal.conj_mem 0.004148 s: quotient_add_group.div_inv_monoid._proof_1 0.000156 s: quotient_add_group.mk 0.007175 s: quotient_add_group.div_inv_monoid._proof_2 0.000094 s: quotient_add_group.quotient.has_coe_t 0.005594 s: quotient_add_group.div_inv_monoid._proof_3 0.007375 s: quotient_add_group.div_inv_monoid._proof_4 0.006369 s: quotient_add_group.div_inv_monoid._proof_5 0.005124 s: quotient_add_group.div_inv_monoid._proof_6 0.010896 s: quotient_add_group.div_inv_monoid._proof_7 0.009843 s: quotient_add_group.div_inv_monoid._proof_8 0.001371 s: add_subgroup.normal.mem_comm 0.000973 s: quotient_add_group.div_inv_monoid._proof_9 0.003347 s: quotient_add_group.div_inv_monoid._proof_10 0.000703 s: quotient_add_group.div_inv_monoid._proof_11 0.007848 s: quotient_add_group.div_inv_monoid._proof_12 0.016399 s: quotient_add_group.div_inv_monoid 0.000500 s: add_monoid_hom.ker.equations._eqn_1 0.004810 s: add_subgroup.normal.comap 0.000284 s: add_subgroup.normal_comap 0.001775 s: add_subgroup.bot_normal 0.000642 s: add_monoid_hom.normal_ker 0.000879 s: add_monoid_hom.is_add_group_hom 0.001645 s: quotient_add_group.lift._proof_1 0.004023 s: quotient_add_group.lift._proof_2 0.001673 s: quotient_add_group.lift 0.000350 s: add_monoid_hom.range_restrict._proof_1 0.005526 s: add_monoid_hom.range_restrict._proof_2 0.001632 s: add_monoid_hom.range_restrict 0.006994 s: add_monoid_hom.range_restrict_ker 0.001909 s: quotient_add_group.range_ker_lift._proof_1 0.000955 s: quotient_add_group.range_ker_lift 0.003707 s: quotient_add_group.range_ker_lift_injective 0.000420 s: normed_group_hom.continuous 0.009075 s: category_theory.limits.cocones.precompose_id._proof_1 0.036669 s: category_theory.limits.cocones.precompose_id._proof_2 0.008863 s: category_theory.limits.cocones.precompose_id 0.004288 s: category_theory.limits.cocones.precompose_id.equations._eqn_1 0.000299 s: zsqrtd.linear_ordered_comm_ring._proof_2 0.000833 s: bool.has_variable_names._proof_1 0.017474 s: topological_ring_quotient_topology 0.000686 s: category_theory.inv.equations._eqn_1 0.000324 s: snum.test_bit._main 0.000156 s: snum.test_bit 0.000210 s: snum.test_bit._main.equations._eqn_1 0.000035 s: snum.test_bit.equations._eqn_1 0.000324 s: category_theory.functor.sum._match_1 0.002916 s: parser.numeral.of_fintype 0.000585 s: parser.bounded.seq 0.000382 s: parser.bounded.many1 0.001101 s: parser.bounded.digit 0.000539 s: parser.bounded.nat 0.000440 s: parser.numeral.of_fintype.bounded 0.000036 s: free_ring 0.000089 s: free_ring.ring 0.000167 s: free_ring.comm_ring._proof_14 0.000253 s: slim_check.total_function.apply._main 0.000285 s: monad_state_adapter.sizeof 0.008389 s: algebra.lsmul._proof_1 0.000821 s: algebra.lsmul._proof_2 0.003606 s: algebra.lsmul._proof_3 0.000487 s: algebra.lsmul._proof_4 0.001666 s: algebra.lsmul._proof_5 0.025153 s: algebra.lsmul._proof_6 0.031551 s: algebra.lsmul._proof_7 0.026016 s: algebra.lsmul._proof_8 0.022748 s: algebra.lsmul._proof_9 0.027058 s: algebra.lsmul._proof_10 0.023566 s: algebra.lsmul 0.025614 s: linear_map.to_matrix_apply' 0.008982 s: algebra.lsmul_coe 0.012171 s: is_basis.repr_self_apply 0.074268 s: algebra.to_matrix_lsmul 0.020258 s: list.bidirectional_rec._main._pack.equations._eqn_1 0.000293 s: list.bidirectional_rec._main.equations._eqn_1 0.000491 s: list.bidirectional_rec.equations._eqn_1 0.000933 s: monoid_hom.has_div.equations._eqn_1 0.000254 s: self_eq_mul_left 0.003483 s: equiv.swap_eq_refl_iff 0.000935 s: equiv.swap_eq_one_iff 0.006275 s: equiv.perm.mod_swap._proof_1 0.000228 s: equiv.perm.mod_swap 0.001735 s: eq_bot_of_bot_eq_top 0.000096 s: random.cases_on 0.000095 s: random.no_confusion_type 0.000259 s: random.no_confusion 0.000893 s: linear_order.decidable_lt._default 0.000912 s: linear_ordered_ring.decidable_lt._default 0.001316 s: linear_ordered_ring.decidable_lt._default.equations._eqn_1 0.007512 s: nat.add_succ_lt_add 0.000686 s: matrix.vec_alt1._proof_1 0.000133 s: matrix.vec_alt1 0.001155 s: fin.append._proof_1 0.000233 s: fin.append 0.000321 s: matrix.vec_alt1.equations._eqn_1 0.001623 s: fin.append.equations._eqn_1 0.016842 s: matrix.vec_alt1_append 0.004143 s: matrix.cons_vec_bit1_eq_alt1 0.001631 s: formal_multilinear_series.sum 0.001719 s: formal_multilinear_series.sum.equations._eqn_1 0.003268 s: equiv.subtype_preimage._match_3.equations._eqn_1 0.001042 s: continuous_linear_map.lmul_rightₗᵢ._proof_1 0.016063 s: continuous_linear_map.lmul_rightₗᵢ._proof_2 0.000203 s: continuous_linear_map.lmul_rightₗᵢ._proof_3 0.003700 s: continuous_linear_map.lmul_rightₗᵢ._proof_4 0.000168 s: continuous_linear_map.lmul_rightₗᵢ._proof_6 0.080877 s: continuous_linear_map.op_norm_lmul_right_apply 0.075985 s: continuous_linear_map.lmul_rightₗᵢ 0.061373 s: continuous_linear_map.coe_lmul_rightₗᵢ 0.000317 s: sym 0.005944 s: sym.of_vector._proof_1 0.000460 s: sym.of_vector 0.000456 s: sym.of_vector.equations._eqn_1 0.002542 s: supr_eq_supr_finset' 0.000373 s: set.Union_eq_Union_finset' 0.002011 s: add_units.add_right_symm 0.003889 s: category_theory.braided_category.cases_on 0.002429 s: category_theory.braided_category.no_confusion_type 0.000867 s: category_theory.presieve.family_of_elements.compatible.to_sieve_compatible 0.001392 s: isometric.symm_apply_apply 0.000882 s: canonically_linear_ordered_add_monoid.to_linear_order 0.000121 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_1 0.000102 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_2 0.000901 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_3 0.000337 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_4 0.000496 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_5 0.000397 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_6 0.000339 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_7 0.000551 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot._proof_8 0.004575 s: canonically_linear_ordered_add_monoid.semilattice_sup_bot 0.001220 s: finsupp.sup_apply 0.008798 s: finsupp.support_sup 0.000264 s: generalized_continued_fraction.pair.has_repr 0.000272 s: generalized_continued_fraction.pair.has_repr.equations._eqn_1 0.003812 s: ring.fractional_ideal.mul_self_le_self 0.001900 s: list.chain_map 0.001859 s: list.chain'_map 0.000316 s: list.chain'_map_of_chain' 0.002290 s: finsupp.frange_single 0.000595 s: opposite.unop_eq_iff_eq_op 0.004559 s: Module.Mon_Module_equivalence_Algebra_forget._proof_4 0.000905 s: is_comm_applicative 0.000222 s: is_comm_applicative.to_is_lawful_applicative 0.006260 s: id.is_comm_applicative 0.000061 s: traversable.pure_transformation._proof_1 0.000022 s: traversable.pure_transformation._proof_2 0.000092 s: traversable.pure_transformation._proof_3 0.001498 s: traversable.pure_transformation._proof_4 0.000448 s: traversable.pure_transformation 0.000388 s: affine.simplex.points_with_circumcenter_index.rec_on 0.001664 s: category_theory.limits.parallel_pair_functor_obj 0.028820 s: category_theory.limits.fork.of_cone._proof_2 0.023710 s: ideal.quotient.algebra 0.030707 s: ideal.quotient.mkₐ._proof_1 0.028858 s: ideal.quotient.mkₐ._proof_2 0.030758 s: ideal.quotient.mkₐ._proof_3 0.026007 s: ideal.quotient.mkₐ._proof_4 0.029905 s: ideal.quotient.mkₐ._proof_5 0.029125 s: ideal.quotient.mkₐ 0.030916 s: ideal.quotient.mkₐ.equations._eqn_1 0.005992 s: array.read_push_back_right 0.076793 s: finite_dimensional_vector_span_of_fintype.equations._eqn_1 0.007792 s: category_theory.is_kernel_pair.rec_on 0.000494 s: turing.partrec_to_TM2.Λ'.ret.inj 0.003697 s: measure_theory.measure_mul_right_null 0.000893 s: measure_theory.measure_mul_right_ne_zero 0.000772 s: lie_algebra.derived_series_of_ideal 0.000492 s: lie_algebra.derived_length_of_ideal 0.000326 s: lie_algebra.derived_length 0.001970 s: set.nonempty_inter_iff_exists_right 0.001563 s: mem_closure_iff_nhds' 0.000194 s: category_theory.biprod.gaussian._proof_4 0.000932 s: smooth_const 0.000563 s: smooth_id 0.001799 s: smooth_add_left 0.026176 s: direct_sum.gmonoid.of_add_subgroups 0.019347 s: direct_sum.gmonoid.of_add_subgroups_to_ghas_one 0.000684 s: filter.rcomap'._proof_1 0.003783 s: filter.rcomap'._match_1 0.000331 s: filter.rcomap'._proof_2 0.000915 s: rel.image_subset 0.003686 s: rel.image_mono 0.017019 s: rel.image_inter 0.000558 s: rel.preimage_inter 0.003412 s: filter.rcomap'._match_2 0.002791 s: filter.rcomap'._match_3 0.000525 s: filter.rcomap'._proof_3 0.000848 s: filter.rcomap' 0.000634 s: filter.rcomap'_sets 0.000157 s: rel.preimage.equations._eqn_1 0.000157 s: rel.inv.equations._eqn_1 0.002293 s: rel.inv_comp 0.000289 s: rel.mem_image 0.002279 s: rel.image_comp 0.001177 s: rel.preimage_comp 0.003354 s: rel.preimage_mono 0.005777 s: filter.rcomap'_rcomap' 0.001905 s: parser.static.foldr_core._main 0.000883 s: parser.static.foldr_core._main.equations._eqn_2 0.003028 s: nat.swap_mem_divisors_antidiagonal 0.000719 s: quaternion_algebra.mk_sub_mk 0.000616 s: Gromov_Hausdorff.aux_gluing_struct 0.000107 s: Gromov_Hausdorff.aux_gluing_struct.space 0.000129 s: Gromov_Hausdorff.aux_gluing_struct.embed 0.001241 s: 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list.topological_space 0.003967 s: topological_space.nhds_mk_of_nhds 0.000035 s: filter.has_seq 0.001535 s: set.singleton_seq 0.003573 s: filter.pure_seq_eq_map 0.000674 s: filter.mem_seq_sets_def 0.001265 s: set.seq_subset 0.002213 s: filter.mem_seq_sets_iff 0.004294 s: set.seq_seq 0.001432 s: set.seq_mono 0.003945 s: filter.seq_assoc 0.007573 s: filter.is_lawful_applicative 0.001556 s: filter.seq_mono 0.000083 s: sequence 0.000649 s: list.traverse_nil 0.000145 s: sequence.equations._eqn_1 0.000629 s: set.pure_def 0.008213 s: filter.mem_traverse_sets 0.008651 s: filter.mem_traverse_sets_iff 0.000300 s: list.forall₂.imp 0.001536 s: list.forall₂.flip 0.003478 s: list.forall₂_cons_left_iff 0.003264 s: list.forall₂_and_left 0.000994 s: list.traverse_cons 0.000103 s: set.functor 0.000150 s: set.fmap_eq_image 0.000390 s: set.seq_eq_set_seq 0.000671 s: exists_eq_right_right 0.012677 s: list.mem_traverse 0.012829 s: nhds_list 0.001367 s: nhds_nil 0.000771 s: nhds_cons 0.000218 s: 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fin.cycle_range._proof_1 0.002515 s: fin.cycle_range._proof_2 0.001393 s: fin.cycle_range 0.000085 s: fin_one_equiv._proof_1 0.000087 s: fin_one_equiv._proof_2 0.000153 s: fin_one_equiv 0.000083 s: subsingleton_fin_one 0.001548 s: fin.cast_le_mk 0.001252 s: fin.cycle_range.equations._eqn_1 0.001111 s: equiv.of_left_inverse_apply_coe 0.001551 s: equiv.of_left_inverse'_eq_of_injective 0.000960 s: function.embedding.to_equiv_range_apply 0.001845 s: function.embedding.to_equiv_range_eq_of_injective 0.002004 s: equiv.perm.subtype_congr.left_apply 0.003055 s: equiv.perm.subtype_congr.left_apply_subtype 0.003362 s: equiv.perm.extend_domain_apply_image 0.002465 s: equiv.perm.via_embedding_apply_image 0.000085 s: fin_rotate_one 0.001387 s: fin.zero_ne_one 0.003375 s: fin.zero_eq_one_iff 0.000579 s: fin.one_eq_zero_iff 0.000054 s: fin_rotate._main._proof_1 0.008520 s: fin_add_flip_apply_right 0.001431 s: fin_congr_apply_mk 0.016000 s: fin_rotate_last' 0.004964 s: fin_rotate_last 0.000633 s: nat.mod_self 0.004311 s: fin.last_add_one 0.000049 s: opt_param_eq 0.007478 s: fin_add_flip_apply_left 0.011500 s: fin_rotate_of_lt 0.012227 s: fin_rotate_succ_apply 0.002413 s: fin.coe_add_one_of_lt 0.005722 s: fin.coe_add_one 0.001653 s: coe_fin_rotate 0.014992 s: fin.cycle_range_of_le 0.005310 s: fin.coe_cycle_range_of_le 0.002328 s: additive.is_add_submonoid_iff 0.000036 s: timeit 0.000055 s: timeit.equations._eqn_1 0.001270 s: category_theory.limits.coprod.right_unitor_inv 0.001540 s: homeomorph.is_closed_preimage 0.001142 s: homeomorph.is_closed_image 0.002687 s: continuous_linear_equiv.is_closed_image 4.066310 s: euclidean.exists_pos_lt_subset_ball 0.000520 s: times_cont_diff_bump_of_inner.R_pos 0.223957 s: times_cont_diff_bump.R_pos 0.179589 s: smooth_bump_function.R_pos 0.157800 s: smooth_bump_function.image_eq_inter_preimage_of_subset_support 0.015201 s: ext_chart_continuous_on_symm 0.085546 s: euclidean.is_closed_closed_ball 0.162168 s: smooth_bump_function.closed_image_of_closed 0.173059 s: smooth_bump_function.exists_r_pos_lt_subset_ball 0.000601 s: order_topology.t2_space 0.000114 s: int.lcm_def 0.016222 s: bernstein_approximation.S 0.000082 s: prime_multiset.equations._eqn_1 0.000107 s: prime_multiset.inhabited._proof_1 0.000054 s: prime_multiset.inhabited 0.006667 s: prime_spectrum.basic_open._proof_1 0.000932 s: prime_spectrum.basic_open 0.019526 s: Top.presheaf.germ_res 0.041896 s: algebraic_geometry.to_open_germ 0.019077 s: algebraic_geometry.germ_to_open 0.005740 s: localization_map.mk'_one 0.036247 s: algebraic_geometry.to_open_eq_const 0.057116 s: algebraic_geometry.const_mul 0.007399 s: algebraic_geometry.const_congr 0.021313 s: algebraic_geometry.const_self 0.007128 s: algebraic_geometry.const_mul_rev 0.039667 s: algebraic_geometry.is_unit_to_basic_open_self 0.039191 s: algebraic_geometry.is_unit_to_stalk 0.009772 s: algebraic_geometry.localization_to_stalk 0.014178 s: Top.presheaf.stalk_hom_ext 0.019699 s: algebraic_geometry.stalk_to_fiber_ring_hom_germ' 0.049384 s: algebraic_geometry.exists_const 0.013880 s: algebraic_geometry.res_apply 0.019725 s: algebraic_geometry.const_apply 0.007850 s: submonoid.localization_map.lift_mk'_spec 0.022252 s: localization_map.lift_mk'_spec 0.003349 s: submonoid.localization_map.mk'_eq_of_eq 0.006641 s: localization_map.mk'_eq_of_eq 0.015786 s: algebraic_geometry.const_ext 0.007141 s: algebraic_geometry.const_mul_cancel 0.004390 s: algebraic_geometry.const_mul_cancel' 0.052924 s: algebraic_geometry.localization_to_stalk_mk' 0.037195 s: Top.presheaf.germ_ext 0.163966 s: algebraic_geometry.res_const' 0.079192 s: algebraic_geometry.stalk_iso._proof_1 0.017637 s: submonoid.localization_map.epic_of_localization_map 0.016757 s: localization_map.epic_of_localization_map 0.020099 s: localization_map.lift_eq 0.011933 s: algebraic_geometry.localization_to_stalk_of 0.011194 s: algebraic_geometry.stalk_to_fiber_ring_hom_to_stalk 0.015190 s: algebraic_geometry.stalk_iso._proof_2 0.004294 s: algebraic_geometry.stalk_iso 0.002106 s: algebraic_geometry.stalk_iso.equations._eqn_1 0.003171 s: list.mem_bag_inter 0.021906 s: list.count_bag_inter 0.001507 s: set.range_restrict 0.002798 s: local_homeomorph.of_continuous_open_restrict._proof_1 0.001442 s: set.image_restrict 0.001740 s: is_open_map.continuous_on_image_of_left_inv_on 0.001380 s: local_homeomorph.of_continuous_open_restrict._proof_2 0.001551 s: local_homeomorph.of_continuous_open_restrict 0.000581 s: is_open_map.comp 0.000496 s: is_open.is_open_map_subtype_coe 0.000910 s: is_open_map.restrict 0.000915 s: local_homeomorph.of_continuous_open._proof_1 0.000592 s: local_homeomorph.of_continuous_open 0.000059 s: not_or_of_imp 0.002012 s: real.sin_eq_zero_iff_of_lt_of_lt 0.011013 s: complex.exp_im 0.016147 s: complex.exp_local_homeomorph._proof_1 0.004280 s: complex.exp_local_homeomorph._proof_2 0.000497 s: complex.exp_local_homeomorph._proof_3 0.001693 s: complex.exp_local_homeomorph._proof_4 0.017180 s: complex.exp_local_homeomorph._proof_5 0.003658 s: open_map_of_strict_deriv 0.031258 s: complex.is_open_map_exp 0.009166 s: complex.exp_local_homeomorph._proof_6 0.002407 s: complex.exp_local_homeomorph 0.030511 s: complex.has_strict_deriv_at_log 0.054786 s: filter.tendsto.clog 0.000366 s: continuous_at.clog 0.005735 s: continuous.clog 0.001007 s: measure_theory.simple_func.smul_apply 0.000296 s: ring.dimension_le_one 0.004871 s: fraction_ring 0.000185 s: fraction_map.to_field._proof_1 0.000216 s: fraction_map.to_field._proof_2 0.000151 s: fraction_map.to_field._proof_3 0.002126 s: fraction_map.to_field._proof_4 0.001362 s: fraction_map.to_field._proof_5 0.000770 s: fraction_map.to_field._proof_6 0.000480 s: fraction_map.to_field._proof_7 0.000149 s: fraction_map.to_field._proof_8 0.000283 s: fraction_map.to_field._proof_9 0.000135 s: fraction_map.to_field._proof_10 0.000104 s: fraction_map.to_field._proof_11 0.000688 s: fraction_map.to_field._proof_12 0.000321 s: fraction_map.to_field._proof_13 0.000218 s: fraction_map.to_field._proof_14 0.000172 s: fraction_map.to_field._proof_15 0.000226 s: fraction_map.to_field._proof_16 0.046312 s: fraction_map.inv 0.000179 s: fraction_map.to_field._proof_17 0.000159 s: fraction_map.to_field._proof_18 0.000186 s: fraction_map.to_field._proof_19 0.004508 s: fraction_map.to_field._proof_20 0.002613 s: fraction_map.to_field._proof_21 0.002918 s: fraction_map.to_field._proof_22 0.000182 s: fraction_map.to_field._proof_23 0.005141 s: submonoid.localization_map.mk'_sec 0.005533 s: localization_map.mk'_sec 0.052018 s: fraction_map.mul_inv_cancel 0.055566 s: fraction_map.to_field 0.127500 s: fraction_ring.of 0.062503 s: fraction_ring.field 0.096956 s: fraction_ring.algebra 0.327850 s: is_dedekind_domain 0.127463 s: is_dedekind_domain.cases_on 0.019440 s: Icc_left_chart._proof_1 0.009976 s: Icc_left_chart._proof_2 0.040007 s: Icc_left_chart._proof_3 0.070320 s: Icc_left_chart._proof_4 0.054982 s: Icc_left_chart._proof_5 0.097382 s: Icc_left_chart._proof_6 0.016041 s: Icc_left_chart._proof_7 0.006230 s: Icc_left_chart._proof_8 0.003938 s: pi.topological_add_group 0.129242 s: Icc_left_chart._proof_9 0.200134 s: Icc_left_chart._proof_10 0.044354 s: Icc_left_chart 0.000750 s: open_add_subgroup.zero_mem' 0.006350 s: open_add_subgroup.add_mem' 0.003618 s: open_add_subgroup.neg_mem' 0.000396 s: open_add_subgroup.to_add_subgroup 0.000134 s: open_add_subgroup.has_coe_add_subgroup 0.000442 s: open_add_subgroup.comap._proof_1 0.000578 s: open_add_subgroup.comap._proof_2 0.000443 s: open_add_subgroup.comap._proof_3 0.000392 s: open_add_subgroup.is_open' 0.000471 s: open_add_subgroup.is_open 0.000874 s: open_add_subgroup.comap._proof_4 0.001933 s: open_add_subgroup.comap 0.014377 s: open_add_subgroup.comap_comap 0.000527 s: omega_complete_partial_order.continuous_hom.monotone 0.003279 s: omega_complete_partial_order.continuous_hom.prod.apply._proof_1 0.000550 s: omega_complete_partial_order.continuous_hom.prod.apply 0.001002 s: omega_complete_partial_order.continuous_hom.prod.apply.equations._eqn_1 0.067484 s: has_deriv_within_at.exp 0.000660 s: vector.head._sunfold 0.000243 s: pfunctor.approx.cofix_a.below 0.014608 s: ordered_cancel_comm_monoid.cases_on 0.002200 s: ordered_cancel_comm_monoid.no_confusion_type 0.002090 s: ordered_cancel_comm_monoid.no_confusion 0.000100 s: wseq.cons 0.000818 s: wseq.union._match_1 0.000552 s: wseq.union._match_1.equations._eqn_6 0.050138 s: is_basis.dual_basis 0.037871 s: is_basis.repr_ker 0.118457 s: is_basis.to_dual_total_left 0.074542 s: is_basis.to_dual_apply_left 0.043166 s: is_basis.to_dual_eq_repr 0.151135 s: is_basis.to_dual_inj 0.077168 s: is_basis.to_dual_ker 0.035451 s: is_basis.to_dual_equiv._proof_1 0.016496 s: is_basis.repr.equations._eqn_1 0.007094 s: submodule.map_comp 0.010324 s: linear_independent.repr.equations._eqn_1 0.013734 s: linear_independent.repr_range 0.018371 s: is_basis.repr_range 0.016956 s: is_basis.repr_total 0.065087 s: is_basis.to_dual_range 0.035299 s: is_basis.to_dual_equiv._proof_2 0.111867 s: is_basis.to_dual_equiv 0.178161 s: is_basis.dual_basis_is_basis 0.040944 s: is_basis.equiv_fun_apply 0.031631 s: is_basis.dual_basis_apply_self 0.159783 s: is_basis.total_dual_basis 0.187637 s: is_basis.dual_basis_repr 0.190170 s: is_basis.dual_basis_equiv_fun 0.018687 s: set.image_add_left' 0.002328 s: set.preimage_add_left_singleton 0.012434 s: min_add_add_left 0.030923 s: min_neg_neg 0.020393 s: min_sub_sub_left 0.000112 s: normed_group_hom.inhabited 0.001008 s: finsupp.sub_apply 0.002681 s: category_theory.limits.prod.map_map_assoc 0.001959 s: is_local_ring_hom.dcases_on 0.004730 s: of_irreducible_map 0.240408 s: polynomial.of_irreducible_expand 0.075977 s: polynomial.of_irreducible_expand_pow 0.000504 s: equiv.perm.mod_swap.equations._eqn_1 0.129737 s: polynomial.splitting_field_aux.algebra''.equations._eqn_1 0.000165 s: category_theory.functorial_id._proof_1 0.000160 s: category_theory.functorial_id._proof_2 0.000493 s: category_theory.functorial_id 0.000148 s: linear_order.lt._default.equations._eqn_1 0.015576 s: category_theory.sieve.pushforward._match_1 0.000193 s: totally_disconnected_space.drec_on 0.005375 s: linear_ordered_comm_group.le 0.002967 s: linear_ordered_comm_group.lt 0.003127 s: linear_ordered_comm_group.le_refl 0.002107 s: linear_ordered_comm_group.le_trans 0.002965 s: linear_ordered_comm_group.lt_iff_le_not_le 0.002669 s: linear_ordered_comm_group.le_antisymm 0.002843 s: linear_ordered_comm_group.le_total 0.002961 s: linear_ordered_comm_group.decidable_le 0.002095 s: linear_ordered_comm_group.decidable_eq 0.003441 s: linear_ordered_comm_group.decidable_lt 0.000647 s: linear_ordered_comm_group.to_linear_order 0.000405 s: exists_unique_iff_exists 0.001045 s: exists_unique.intro2 0.005304 s: set.pairwise_disjoint.elim 0.000914 s: setoid.eqv_classes_of_disjoint_union 0.000285 s: encodable.finset._match_2.equations._eqn_1 0.001450 s: category_theory.limits.pullback_cone.is_limit.hom_ext 0.000327 s: name.map_prefix._main 0.000660 s: name.map_prefix._main.equations._eqn_2 0.000135 s: has_measurable_add.measurable_const_add 0.000291 s: measurable.const_add 0.001145 s: has_measurable_sub_of_add_neg 0.001314 s: has_measurable_sub_of_add_neg.equations._eqn_1 0.000934 s: pgame.inv_ty.rec_on 0.000149 s: tactic.ring.normalize_mode 0.000017 s: tactic.ring.normalize_mode.horner.inj 0.000547 s: ring_hom.quotient_ker_equiv_of_right_inverse._proof_2 0.000491 s: ring_hom.quotient_ker_equiv_of_right_inverse._proof_3 0.008109 s: ring_hom.quotient_ker_equiv_of_right_inverse 0.002926 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_5 0.001041 s: set.mk_preimage_prod_left_eq_empty 0.000428 s: mvpfunctor.map.equations._eqn_1 0.000237 s: lists.setoid._proof_1 0.001746 s: lie_module_equiv.has_coe_to_lie_module_hom.equations._eqn_1 0.001821 s: abelianization.hom_ext 0.039161 s: abelianize._proof_3 0.006924 s: differentiable_at.congr_of_eventually_eq 0.000157 s: function.mul_support.equations._eqn_1 0.001835 s: parser.nat.equations._eqn_1 0.000889 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_1 0.002658 s: AddGroup.limit_add_group 0.002470 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_2 0.003614 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_3 0.005128 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_4 2.561218 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_6 1.404749 s: AddGroup.category_theory.forget₂.category_theory.creates_limit 0.000903 s: AddGroup.has_limits 0.594582 s: AddCommGroup.limit_add_comm_group 0.004022 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_2 0.000324 s: AddGroup.limit_cone._proof_1 0.000295 s: AddGroup.limit_cone._proof_2 0.000496 s: AddGroup.limit_cone 0.000715 s: AddGroup.limit_cone_is_limit 0.000386 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_3 0.004190 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_4 0.012076 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_5 0.011098 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_6 10.258607 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_7 5.249375 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit 0.000842 s: AddCommGroup.has_limits 0.000252 s: AddCommGroup.kernel_iso_ker_over._proof_4 0.070247 s: category_theory.over.iterated_slice_forward._proof_1 0.072486 s: category_theory.over.iterated_slice_forward._proof_2 0.034209 s: category_theory.over.iterated_slice_forward 0.015816 s: category_theory.over.iterated_slice_forward_map 0.001416 s: filter.eventually_eq_empty 0.005029 s: measure_theory.ae_eq_empty 0.006227 s: fract_zero 0.000279 s: _private.2148780665.fintype_helper._match_1.equations._eqn_1 0.011858 s: category_theory.functor.triangle 0.000525 s: pow_sub_mul_pow 0.031905 s: module.End.generalized_eigenspace._proof_1 0.018519 s: module.End.generalized_eigenspace 0.002283 s: submodule.comap_subtype_equiv_of_le._proof_1 0.014647 s: submodule.comap_subtype_equiv_of_le._proof_2 0.017315 s: submodule.comap_subtype_equiv_of_le._proof_3 0.003369 s: submodule.comap_subtype_equiv_of_le._proof_4 0.000543 s: submodule.comap_subtype_equiv_of_le._proof_5 0.024230 s: submodule.comap_subtype_equiv_of_le._proof_7 0.022309 s: submodule.comap_subtype_equiv_of_le 0.018911 s: submodule.comap_subtype_eq_top 0.182258 s: submodule.findim_lt_findim_of_lt 0.122643 s: module.End.exists_ker_pow_eq_ker_pow_succ 0.022251 s: module.End.ker_pow_eq_ker_pow_findim_of_le 0.252221 s: module.End.generalized_eigenspace_eq_generalized_eigenspace_findim_of_le 0.027734 s: char_p.drec_on 0.092855 s: derivation.add_comm_group.equations._eqn_1 0.260299 s: finset.affine_combination_map 0.000229 s: function.comp_const 0.150377 s: finset.centroid_map 0.074880 s: category_theory.category_of_elements.equations._eqn_1 0.018876 s: category_theory.cofinal.cocones_equiv_counit_iso 0.000096 s: real.angle 0.000231 s: real.angle.angle.has_coe 0.000196 s: quotient_add_group.add_group._proof_1 0.000161 s: quotient_add_group.add_group._proof_2 0.000156 s: quotient_add_group.add_group._proof_3 0.001455 s: quotient_add_group.add_group._proof_4 0.000327 s: quotient_add_group.add_group._proof_5 0.000436 s: quotient_add_group.add_group._proof_6 0.003336 s: quotient_add_group.add_group._proof_7 0.002965 s: quotient_add_group.add_group 0.000440 s: quotient_add_group.add_comm_group._proof_1 0.000301 s: quotient_add_group.add_comm_group._proof_2 0.000225 s: quotient_add_group.add_comm_group._proof_3 0.000433 s: quotient_add_group.add_comm_group._proof_4 0.000715 s: quotient_add_group.add_comm_group._proof_5 0.001209 s: quotient_add_group.add_comm_group._proof_6 0.000647 s: quotient_add_group.add_comm_group._proof_7 0.002855 s: quotient_add_group.add_comm_group._proof_8 0.001718 s: quotient_add_group.add_comm_group 0.000125 s: real.angle.angle.add_comm_group 0.002101 s: real.angle.coe_neg 0.001254 s: flow.cases_on 0.000549 s: flow.no_confusion_type 0.000744 s: flow.no_confusion 0.000200 s: circle_deg1_lift.units_has_coe_to_fun.equations._eqn_1 0.000875 s: with_bot.preorder._match_2.equations._eqn_1 0.001360 s: intermediate_field.no_confusion_type 0.001680 s: intermediate_field.no_confusion 0.000574 s: charted_space_core.to_topological_space 0.001390 s: category_theory.op_op._proof_1 0.001323 s: category_theory.op_op._proof_2 0.001898 s: category_theory.op_op 0.001740 s: category_theory.op_op_map 0.001037 s: slope 0.000336 s: lt_iff_lt_of_le_iff_le' 0.000660 s: slope.equations._eqn_1 0.193697 s: smul_le_smul_iff_of_pos 0.167868 s: le_smul_iff_of_pos 0.909935 s: map_le_line_map_iff_slope_le_slope_right 0.455158 s: line_map_le_map_iff_slope_le_slope_right 0.437397 s: map_lt_line_map_iff_slope_lt_slope_right 0.454749 s: line_map_lt_map_iff_slope_lt_slope_right 0.036298 s: inner_product_space.core.cases_on 0.004810 s: inner_product_space.core.no_confusion_type 0.000192 s: list.join._sunfold 0.003887 s: filter.map_inj 0.002641 s: polynomial.dickson_zero 0.001300 s: polynomial.dickson_one 0.035864 s: polynomial.sub_comp 0.002834 s: polynomial.bit0_comp 0.137709 s: polynomial.dickson_one_one_eq_chebyshev_T 0.015993 s: path.map._proof_3 0.000121 s: has_dist.sizeof 0.000084 s: has_dist.has_sizeof_inst 0.000439 s: uniform_space.core.sizeof 0.000062 s: uniform_space.core.has_sizeof_inst 0.000316 s: uniform_space.sizeof 0.000026 s: uniform_space.has_sizeof_inst 0.004128 s: pseudo_metric_space.sizeof 0.000230 s: padic.comm_ring.equations._eqn_1 0.007127 s: with_top.has_le.le.is_total._match_1 0.003307 s: with_top.has_le.le.is_total._match_1.equations._eqn_1 0.000081 s: _private.589629221.from_vector 0.000786 s: _private.589629221.from_vector._main.equations._eqn_1 0.000257 s: _private.589629221.from_vector.equations._eqn_1 0.000092 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_1 0.014833 s: continuous_linear_map.flipₗᵢ._proof_5 0.006491 s: localization.mul_equiv_of_quotient_mk' 0.005036 s: smooth_map.coe_neg 0.001962 s: bundle_trivialization.proj_symm_apply 0.001082 s: bundle_trivialization.mem_target 0.000953 s: bundle_trivialization.proj_symm_apply' 0.000484 s: local_homeomorph.right_inv_on 0.006942 s: topological_vector_bundle.trivialization.continuous_linear_equiv_at._proof_5 0.001569 s: equiv.set.image_apply 0.000070 s: bor._main.equations._eqn_1 0.000026 s: bor.equations._eqn_1 0.000042 s: bor._main.equations._eqn_2 0.000022 s: bor.equations._eqn_2 0.000222 s: bor_self 0.000262 s: bor_ff 0.000141 s: bor_tt 0.000173 s: ff_bor 0.000213 s: tt_bor 0.001113 s: bor_eq_true_eq_eq_tt_or_eq_tt 0.000027 s: tactic.apply_cfg.md._default 0.000474 s: principal_seg.has_coe_to_fun.equations._eqn_1 0.000176 s: prod.to_sigma._main 0.000070 s: prod.to_sigma 0.000284 s: prod.snd_to_sigma 0.000748 s: direct_sum.gcomm_monoid.to_gmonoid 0.001140 s: direct_sum.grade_zero.comm_semiring._proof_3 0.000022 s: num.ppred 0.000153 s: num.ppred._main.equations._eqn_2 0.000031 s: num.ppred.equations._eqn_2 0.000306 s: measurable_space.sizeof 0.000897 s: measurable_space.mk.sizeof_spec 0.000181 s: dlist.sizeof 0.000024 s: dlist.has_sizeof_inst 0.003323 s: list.zip_unzip 0.000486 s: sigma.decidable_eq._main.equations._eqn_1 0.000224 s: sigma.decidable_eq.equations._eqn_1 0.002792 s: prime_spectrum.vanishing_ideal_anti_mono 0.000020 s: turing.partrec_to_TM2.K'.main.inj 0.000132 s: alist.no_confusion_type 0.000233 s: alist.no_confusion 0.000272 s: alist.mk.inj 0.001870 s: add_monoid_algebra.of_injective 0.000714 s: omega.nat.terms.vars._main.equations._eqn_2 0.000051 s: omega.nat.terms.vars.equations._eqn_2 0.000057 s: category_theory.limits.has_coproducts 0.000217 s: category_theory.graded_object.total._proof_1 0.001261 s: sigma.subtype_ext_iff 0.000663 s: continuous_linear_map.range 0.017879 s: implicit_function_data 0.003532 s: implicit_function_data.left_fun 0.002773 s: implicit_function_data.right_fun 0.000947 s: implicit_function_data.prod_fun 0.032372 s: linear_map.equiv_prod_of_surjective_of_is_compl._proof_1 0.012992 s: linear_map.range_prod_le 0.006367 s: linear_map.sub_mem_ker_iff 0.019596 s: linear_map.range_prod_eq 0.042723 s: linear_map.equiv_prod_of_surjective_of_is_compl._proof_2 0.042458 s: linear_map.equiv_prod_of_surjective_of_is_compl 0.016061 s: continuous_linear_map.equiv_prod_of_surjective_of_is_compl._proof_1 0.079754 s: continuous_linear_map.equiv_prod_of_surjective_of_is_compl 0.000363 s: implicit_function_data.to_local_homeomorph._proof_1 0.017497 s: implicit_function_data.left_deriv 0.006901 s: implicit_function_data.right_deriv 0.003433 s: implicit_function_data.left_range 0.006716 s: implicit_function_data.right_range 0.005362 s: implicit_function_data.is_compl_ker 0.002558 s: implicit_function_data.pt 0.007072 s: implicit_function_data.left_has_deriv 0.006292 s: implicit_function_data.right_has_deriv 0.064013 s: implicit_function_data.has_strict_fderiv_at 0.056431 s: implicit_function_data.to_local_homeomorph 0.008550 s: implicit_function_data.implicit_function 0.001772 s: local_homeomorph.eventually_left_inverse 0.006973 s: has_strict_fderiv_at.eventually_left_inverse 0.055484 s: implicit_function_data.implicit_function_apply_image 0.009556 s: linear_equiv.sizeof 0.000601 s: linear_equiv.has_sizeof_inst 0.000175 s: setoid.is_partition 0.001394 s: exists_unique.elim2 0.000661 s: exists_unique.unique2 0.000366 s: setoid.eq_of_mem_eqv_class 0.002036 s: setoid.mk_classes._proof_1 0.000315 s: setoid.mk_classes 0.000267 s: setoid.partition.le._proof_1 0.000180 s: setoid.partition.le._proof_2 0.000187 s: setoid.partition.le 0.000148 s: setoid.partition.partial_order._proof_1 0.000424 s: setoid.partition.partial_order._proof_2 0.000177 s: setoid.partition.partial_order._proof_3 0.000082 s: setoid.classes 0.001164 s: setoid.eq_eqv_class_of_mem 0.000271 s: setoid.nonempty_of_mem_partition 0.001105 s: setoid.exists_of_mem_partition 0.002071 s: setoid.classes_mk_classes 0.005969 s: setoid.partition.partial_order._proof_4 0.002106 s: setoid.partition.partial_order 0.001687 s: setoid.partition.partial_order.equations._eqn_1 0.000105 s: category_theory.limits.wide_pushout_shape.equations._eqn_1 0.000067 s: category_theory.limits.wide_pushout_shape.fintype_obj._proof_1 0.000060 s: category_theory.limits.wide_pushout_shape.fintype_obj 0.001294 s: category_theory.limits.fin_category_wide_pushout 0.000840 s: category_theory.limits.fin_category_wide_pushout.equations._eqn_1 0.006281 s: category_theory.kleisli.adjunction.to_kleisli._proof_1 0.012414 s: category_theory.kleisli.adjunction.to_kleisli._proof_2 0.003783 s: category_theory.kleisli.adjunction.to_kleisli 0.153340 s: real.sizeof 0.000041 s: real.has_sizeof_inst 0.000241 s: times_cont_diff_bump_of_inner.sizeof 0.029115 s: fin_equiv_powers_apply 0.005652 s: fin_equiv_powers_symm_apply 0.002203 s: formal_multilinear_series.remove_zero_coeff_succ 0.000354 s: prod.vadd_snd 0.001425 s: multiset.decidable_dexists_multiset._match_2.equations._eqn_1 0.001962 s: is_lub.exists_between' 0.000556 s: right_cancel_semigroup.cases_on 0.000296 s: bitraversable.rec_on 0.000193 s: option.decidable_eq._main._proof_3 0.000618 s: option.decidable_eq._main.equations._eqn_3 0.000464 s: category_theory.creates_limits_of_shape.creates_limit 0.016705 s: category_theory.over.forget_reflects_iso 0.018725 s: category_theory.over.creates_connected.nat_trans_in_over._proof_1 0.005605 s: category_theory.over.creates_connected.nat_trans_in_over 0.006922 s: category_theory.nat_trans_from_is_connected 0.002946 s: category_theory.over.creates_connected.raise_cone._proof_1 0.056117 s: category_theory.over.creates_connected.raise_cone._proof_2 0.022837 s: category_theory.over.creates_connected.raise_cone 0.033101 s: category_theory.over.creates_connected.raised_cone_lowers_to_original 0.012248 s: category_theory.over.forget_map 0.028912 s: category_theory.over.creates_connected.raised_cone_is_limit._proof_1 0.093583 s: category_theory.over.creates_connected.raised_cone_is_limit._proof_2 0.018129 s: category_theory.over.hom_mk_left 0.013923 s: category_theory.over.creates_connected.raise_cone_π_app 0.003573 s: category_theory.over.comp_left 0.062805 s: category_theory.over.creates_connected.raised_cone_is_limit._proof_3 0.018862 s: category_theory.over.creates_connected.raised_cone_is_limit 0.003535 s: category_theory.over.forget_creates_connected_limits 0.000664 s: category_theory.over.has_connected_limits 0.000742 s: category_theory.over.has_connected_limits.equations._eqn_1 0.000385 s: Gromov_Hausdorff.optimal_GH_coupling.metric_space 0.000787 s: asymptotics.is_o.exists_eq_mul 0.014141 s: linear_equiv.prod_symm 0.000493 s: set.union_inv 0.000178 s: isometry_id 0.039803 s: direct_sum.ghas_mul.of_add_subgroups 0.087930 s: direct_sum.ghas_mul.of_add_subgroups_mul 0.000310 s: continuous_map.compact_open 0.011100 s: _private.2300396675.is_open_gen 0.014049 s: continuous_map.continuous_ev 0.003717 s: continuous_map.continuous_uncurry_of_continuous 0.000607 s: continuous_map.uncurry 0.000097 s: continuous_id' 0.001052 s: continuous_map.curry'._proof_1 0.000665 s: continuous_map.curry' 0.000514 s: continuous_map.induced._proof_1 0.000492 s: continuous_map.induced 0.000271 s: continuous_map.coev._proof_1 0.000320 s: continuous_map.coev 0.002673 s: _private.838007859.preimage_gen 0.002304 s: continuous_map.continuous_induced 0.003044 s: set.singleton_prod 0.001785 s: continuous_map.image_coev 0.005116 s: continuous_map.continuous_coev 0.003347 s: continuous_map.continuous_curry' 0.000316 s: continuous_map.curry 0.002173 s: homeomorph.curry._proof_2 0.001408 s: traversable.traverse_eq_map_id' 0.000295 s: ulift.mul_equiv._proof_1 0.000494 s: hahn_series.comm_ring._proof_1 0.000296 s: hahn_series.comm_ring._proof_2 0.000291 s: hahn_series.comm_ring._proof_3 0.000556 s: hahn_series.comm_ring._proof_4 0.000556 s: hahn_series.comm_ring._proof_5 0.001143 s: hahn_series.comm_ring._proof_6 0.000861 s: hahn_series.comm_ring._proof_7 0.000341 s: hahn_series.comm_ring._proof_8 0.000271 s: hahn_series.comm_ring._proof_9 0.000253 s: hahn_series.comm_ring._proof_10 0.000253 s: hahn_series.comm_ring._proof_11 0.000513 s: hahn_series.comm_ring._proof_12 0.000373 s: hahn_series.comm_ring._proof_13 0.000400 s: hahn_series.comm_ring._proof_14 0.000281 s: hahn_series.comm_ring._proof_16 0.046217 s: hahn_series.comm_ring 0.000560 s: hahn_series.integral_domain._proof_11 0.002049 s: category_theory.quotient.comp_closure 0.006275 s: category_theory.quotient.comp_closure.dcases_on 0.002772 s: category_theory.quotient.comp_left 0.000463 s: AddCommMon.limit_cone._proof_1 0.000436 s: AddCommMon.limit_cone._proof_2 0.000871 s: AddCommMon.limit_cone 0.000958 s: AddCommMon.limit_cone_is_limit 0.000942 s: AddCommMon.limit_cone_is_limit.equations._eqn_1 0.000264 s: add_submonoid.to_submonoid._proof_2 0.000121 s: computation.empty._proof_1 0.000592 s: computation.empty 0.000701 s: computation.destruct_empty 0.000546 s: category_theory.subobject.map 0.009377 s: category_theory.subobject.inf_eq_map_pullback' 0.000385 s: con.of_submonoid._proof_1 0.000881 s: con.of_submonoid 0.000658 s: con.of_submonoid.equations._eqn_1 0.000250 s: alist.erase._proof_1 0.000219 s: alist.erase 0.000337 s: alist.perm_erase 0.000305 s: finmap.erase._proof_1 0.000520 s: slim_check.test_forall_in_list._match_1._proof_3 0.002847 s: category_theory.limits.fork.condition_assoc 0.022797 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_limit._proof_1 0.037970 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_limit 0.025166 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_is_limit._proof_1 0.060420 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_is_limit._proof_2 0.020823 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_limit_π_app 0.058300 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_is_limit._proof_3 0.032198 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_is_limit 0.027528 s: category_theory.limits.has_limit_of_equalizer_and_product 0.001049 s: category_theory.limits.limits_from_equalizers_and_products 0.003308 s: category_theory.limits.cone.of_fork._proof_1 0.016993 s: category_theory.limits.cone.of_fork._proof_2 0.003963 s: category_theory.limits.cone.of_fork 0.000391 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.construct_equalizer._proof_1 0.000124 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.construct_equalizer._proof_2 0.002547 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.construct_equalizer._proof_4 0.000966 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.construct_equalizer 0.001751 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.pullback_fst 0.005974 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.pullback_fst_eq_pullback_snd 0.006620 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone._proof_1 0.000888 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone 0.010446 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone_is_limit._proof_1 0.003217 s: category_theory.limits.cone.of_fork_π 0.030084 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone_is_limit._proof_2 0.039523 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone_is_limit._proof_3 0.013447 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone_is_limit 0.000704 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products 0.000394 s: category_theory.over.construct_products.over_binary_product_of_pullback 0.000084 s: category_theory.limits.wide_pullback_shape.inhabited 0.002862 s: category_theory.wide_pullback_shape_connected 0.000730 s: category_theory.over.has_limits 0.000553 s: category_theory.over.has_limits.equations._eqn_1 0.026192 s: polynomial.derivative_comp 0.000743 s: add_monoid_hom.iterate_map_neg 0.014435 s: polynomial.iterate_derivative_neg 0.030588 s: polynomial.iterate_derivative_comp_one_sub_X 0.007201 s: comm_group.cases_on 0.003143 s: comm_group.no_confusion_type 0.001949 s: comm_group.no_confusion 0.000149 s: string.iterator.to_string._main 0.000316 s: string.iterator.to_string._main.equations._eqn_1 0.000763 s: category_theory.has_limits_of_shape_of_has_limits_of_shape_creates_limits_of_shape 0.000265 s: category_theory.creates_limits.creates_limits_of_shape 0.000231 s: category_theory.has_limits_of_has_limits_creates_limits 0.000183 s: Profinite_to_Top 0.000324 s: Top.Top_has_limits 0.020475 s: category_theory.functor.functoriality_comp_postcompose._proof_1 0.012701 s: category_theory.functor.functoriality_comp_postcompose 0.004193 s: category_theory.functor.postcompose_whisker_left_map_cone 0.005240 s: category_theory.limits.is_limit.map_cone_equiv 0.001045 s: category_theory.limits.reflects_limit_of_nat_iso 0.002468 s: category_theory.creates_limit_of_nat_iso 0.000559 s: category_theory.creates_limits_of_shape_of_nat_iso 0.000352 s: category_theory.creates_limits_of_nat_iso 0.000744 s: category_theory.monadic_right_adjoint.to_is_right_adjoint 0.009628 s: category_theory.monad.comparison_forget._proof_1 0.008151 s: category_theory.monad.comparison_forget._proof_2 0.058065 s: category_theory.monad.comparison_forget._proof_3 0.063612 s: category_theory.monad.comparison_forget._proof_4 0.013552 s: category_theory.monad.comparison_forget 0.023445 s: category_theory.limits.comp_reflects_limit 0.029321 s: category_theory.comp_creates_limit 0.003582 s: category_theory.comp_creates_limits_of_shape 0.000736 s: category_theory.comp_creates_limits 0.002931 s: category_theory.limits.is_limit_of_preserves 0.001340 s: category_theory.limits.is_limit.iso_unique_cone_morphism._proof_1 0.008885 s: category_theory.limits.is_limit.iso_unique_cone_morphism._proof_2 0.004629 s: category_theory.limits.is_limit.iso_unique_cone_morphism._proof_3 0.016798 s: category_theory.limits.is_limit.iso_unique_cone_morphism._proof_4 0.021336 s: category_theory.limits.is_limit.iso_unique_cone_morphism._proof_5 0.010330 s: category_theory.limits.is_limit.iso_unique_cone_morphism 0.001899 s: category_theory.adjunction.functoriality_left_adjoint 0.039170 s: category_theory.adjunction.functoriality_unit'._proof_1 0.182194 s: category_theory.adjunction.functoriality_unit'._proof_2 0.033311 s: category_theory.adjunction.functoriality_unit' 0.036172 s: category_theory.adjunction.functoriality_counit'._proof_1 0.126638 s: category_theory.adjunction.functoriality_counit'._proof_2 0.026795 s: category_theory.adjunction.functoriality_counit' 0.112090 s: category_theory.adjunction.functoriality_is_right_adjoint._proof_1 0.337024 s: category_theory.adjunction.functoriality_is_right_adjoint._proof_2 0.006757 s: category_theory.adjunction.functoriality_is_right_adjoint 0.006189 s: category_theory.adjunction.right_adjoint_preserves_limits 0.001489 s: category_theory.adjunction.is_equivalence_preserves_limits 0.020995 s: category_theory.adjunction.is_equivalence_reflects_limits._aux_1 0.061583 s: category_theory.adjunction.is_equivalence_reflects_limits._proof_1 0.048176 s: category_theory.adjunction.is_equivalence_reflects_limits 0.058624 s: category_theory.limits.cones.functoriality_equivalence._proof_1 0.159355 s: category_theory.limits.cones.functoriality_equivalence._proof_2 0.076436 s: category_theory.limits.cones.functoriality_equivalence._proof_3 0.211414 s: category_theory.limits.cones.functoriality_equivalence._proof_4 0.709599 s: category_theory.limits.cones.functoriality_equivalence._proof_5 0.067764 s: category_theory.limits.cones.functoriality_equivalence 0.008420 s: category_theory.functor.map_cone_inv 0.010452 s: category_theory.functor.map_cone_map_cone_inv 0.001981 s: category_theory.adjunction.is_equivalence_creates_limits 0.001093 s: category_theory.monadic_right_adjoint.eqv 0.008674 s: category_theory.functor.const_comp._proof_1 0.008964 s: category_theory.functor.const_comp._proof_2 0.074387 s: category_theory.functor.const_comp._proof_3 0.089494 s: category_theory.functor.const_comp._proof_4 0.022660 s: category_theory.functor.const_comp 0.017773 s: category_theory.monad.forget_creates_limits.γ._proof_1 0.005091 s: category_theory.monad.forget_creates_limits.γ 0.016514 s: category_theory.monad.forget_creates_limits.new_cone 0.037278 s: category_theory.monad.forget_creates_limits.cone_point._proof_1 0.038319 s: category_theory.monad.forget_creates_limits.cone_point._proof_2 0.005764 s: category_theory.monad.forget_creates_limits.cone_point 0.024786 s: category_theory.monad.forget_creates_limits.new_cone_π 0.008270 s: category_theory.functor.const_comp_inv_app 0.009800 s: category_theory.monad.forget_creates_limits.γ_app 0.067672 s: category_theory.monad.forget_creates_limits.lifted_cone._proof_1 0.113747 s: category_theory.monad.forget_creates_limits.lifted_cone._proof_2 0.027090 s: category_theory.monad.forget_creates_limits.lifted_cone 0.005138 s: category_theory.monad.forget_creates_limits._proof_1 0.029626 s: category_theory.monad.forget_creates_limits.lifted_cone_is_limit._proof_1 0.002442 s: category_theory.monad.forget_map 0.113493 s: category_theory.monad.forget_creates_limits.lifted_cone_is_limit._proof_2 0.020963 s: category_theory.monad.forget_creates_limits.lifted_cone_π_app_f 0.063305 s: category_theory.monad.forget_creates_limits.lifted_cone_is_limit._proof_3 0.021286 s: category_theory.monad.forget_creates_limits.lifted_cone_is_limit 0.009614 s: category_theory.monad.forget_creates_limits 0.001333 s: category_theory.monadic_creates_limits 0.000284 s: category_theory.reflective.to_is_right_adjoint 0.005354 s: category_theory.reflective.comparison_full._proof_1 0.002741 s: category_theory.reflective.comparison_full 0.000507 s: category_theory.reflective.to_full 0.003307 s: category_theory.reflective.comparison_faithful 0.000380 s: category_theory.reflective.to_faithful 0.000737 s: category_theory.monadic_of_reflective._proof_1 0.020377 s: category_theory.unit_obj_eq_map_unit 0.020265 s: category_theory.reflective.app.category_theory.is_iso 0.001590 s: category_theory.strong_epi.epi 0.000173 s: category_theory.epi_of_strong_epi 0.014951 s: category_theory.strong_epi_of_is_iso 0.003200 s: category_theory.monad.algebra.unit_assoc 0.015808 s: category_theory.reflective.comparison_ess_surj 0.002047 s: category_theory.monadic_of_reflective 0.000795 s: category_theory.adjunction.right_adjoint_of_comp 0.004230 s: category_theory.full.comp._proof_1 0.001781 s: category_theory.full.comp 0.000379 s: category_theory.reflective.comp._proof_1 0.000872 s: category_theory.reflective.comp 0.000414 s: CompHaus.to_Profinite_obj._proof_1 0.000546 s: CompHaus.to_Profinite_obj._proof_2 0.000389 s: CompHaus.to_Profinite_obj._proof_3 0.000363 s: CompHaus.to_Profinite_obj._proof_4 0.000314 s: connected_component_disjoint 0.000307 s: connected_component_nrel_iff 0.002174 s: connected_components_preimage_image 0.001147 s: is_clopen.eq_union_connected_components 0.000477 s: function.injective.nonempty_apply_iff 0.000154 s: function.surjective.preimage_injective 0.000697 s: set.preimage_injective 0.005426 s: connected_components.t2 0.000341 s: CompHaus.to_Profinite_obj._proof_5 0.000206 s: CompHaus.to_Profinite_obj._proof_6 0.001081 s: CompHaus.to_Profinite_obj 0.003631 s: Profinite.to_CompHaus_equivalence._proof_1 0.000126 s: is_preconnected.subsingleton 0.005224 s: is_preconnected.image 0.000681 s: continuous.image_connected_component_eq_singleton 0.000461 s: continuous.image_eq_of_equiv 0.000191 s: continuous.connected_components_lift 0.000285 s: Profinite.is_totally_disconnected 0.000187 s: Profinite.totally_disconnected_space 0.001203 s: Profinite.to_CompHaus_equivalence._proof_2 0.000349 s: continuous_quotient_lift 0.000322 s: continuous.connected_components_lift_continuous 0.001718 s: Profinite.to_CompHaus_equivalence._proof_3 0.008179 s: Profinite.to_CompHaus_equivalence._proof_4 0.005699 s: Profinite.to_CompHaus_equivalence._proof_5 0.003643 s: Profinite.to_CompHaus_equivalence 0.000320 s: CompHaus.to_Profinite._proof_1 0.003284 s: CompHaus.to_Profinite 0.002581 s: Profinite.to_Profinite_adj_to_CompHaus 0.001245 s: Profinite.to_CompHaus.category_theory.full._proof_1 0.000880 s: Profinite.to_CompHaus.category_theory.full 0.001263 s: Profinite.to_CompHaus.reflective._proof_1 0.000234 s: Profinite.to_CompHaus.reflective 0.000341 s: Top_to_CompHaus._proof_1 0.003853 s: Top_to_CompHaus 0.000249 s: CompHaus_to_Top.full 0.001558 s: CompHaus_to_Top.reflective._proof_1 0.003605 s: CompHaus_to_Top.reflective 0.003361 s: Profinite.to_Top.reflective 0.000150 s: Profinite.to_Top.creates_limits 0.000152 s: Profinite.has_limits 0.000359 s: category_theory.subobject.iso_of_eq_mk._proof_2 0.000057 s: mersenne 0.000054 s: lucas_lehmer.q._proof_1 0.000044 s: lucas_lehmer.q 0.000179 s: lucas_lehmer.X.ring._proof_1 0.000121 s: lucas_lehmer.X.ring._proof_3 0.000252 s: lucas_lehmer.X.ring._proof_4 0.000246 s: lucas_lehmer.X.ring._proof_5 0.000560 s: lucas_lehmer.X.ring._proof_6 0.000652 s: lucas_lehmer.X.ring._proof_7 0.000114 s: lucas_lehmer.X.ring._proof_8 0.000371 s: lucas_lehmer.X.has_mul 0.001238 s: lucas_lehmer.X.ext 0.029789 s: lucas_lehmer.X.monoid._proof_1 0.001625 s: lucas_lehmer.X.mul_fst 0.001303 s: lucas_lehmer.X.mul_snd 0.010185 s: lucas_lehmer.X.monoid._proof_2 0.006699 s: lucas_lehmer.X.monoid._proof_3 0.005191 s: lucas_lehmer.X.monoid._proof_4 0.004960 s: lucas_lehmer.X.monoid._proof_5 0.013928 s: lucas_lehmer.X.monoid._proof_6 0.018151 s: lucas_lehmer.X.monoid._proof_7 0.005273 s: lucas_lehmer.X.monoid 0.000152 s: lucas_lehmer.X.ring._proof_9 0.000081 s: lucas_lehmer.X.ring._proof_10 0.000069 s: lucas_lehmer.X.ring._proof_11 0.000336 s: lucas_lehmer.X.ring._proof_12 0.000242 s: lucas_lehmer.X.ring._proof_13 0.025442 s: lucas_lehmer.X.left_distrib 0.029608 s: lucas_lehmer.X.right_distrib 0.007562 s: lucas_lehmer.X.ring 0.000264 s: lucas_lehmer.X.has_one 0.000113 s: mersenne.equations._eqn_1 0.009595 s: lucas_lehmer.X.nat_coe_fst 0.000108 s: lucas_lehmer.q.equations._eqn_1 0.007740 s: lucas_lehmer.X.nat_coe_snd 0.007471 s: lucas_lehmer.mersenne_coe_X 0.035257 s: ring.fractional_ideal.is_fractional_of_le 0.546753 s: ring.fractional_ideal.is_noetherian_iff 0.048441 s: ring.fractional_ideal.mem_coe_ideal 0.032960 s: ring.fractional_ideal.coe_ideal_le_one 0.092957 s: ring.fractional_ideal.le_one_iff_exists_coe_ideal 0.283738 s: ring.fractional_ideal.is_noetherian_coe_to_fractional_ideal 0.000120 s: zsqrtd.monoid 0.123807 s: zsqrtd.norm_mul 0.000853 s: zsqrtd.conj._main.equations._eqn_1 0.000123 s: zsqrtd.conj.equations._eqn_1 0.042693 s: zsqrtd.norm_eq_mul_conj 0.012938 s: zsqrtd.char_zero 0.025337 s: nat.mul_eq_one_iff 0.000146 s: int.nat_abs_one 0.009952 s: zsqrtd.norm_one 0.016807 s: zsqrtd.norm_eq_one_iff 0.139629 s: zsqrtd.norm_nonneg 0.012854 s: zsqrtd.norm_eq_one_iff' 0.007600 s: zsqrtd.norm_eq_of_associated 0.002985 s: category_theory.comma.mk.sizeof_spec 0.000495 s: general_commutator.equations._eqn_1 0.005907 s: general_commutator_le 0.017881 s: general_commutator_comm 0.003121 s: general_commutator_le_right 0.000353 s: general_commutator_le_left 0.013106 s: bot_general_commutator 0.000031 s: slim_check.use_has_to_string 0.000198 s: slim_check.use_has_to_string.inhabited 0.000105 s: slim_check.use_has_to_string.inhabited.equations._eqn_1 0.004125 s: lie_module_hom.neg_apply 0.000470 s: category_theory.presieve.family_of_elements.pullback_compatible._proof_1 0.000366 s: category_theory.presieve.family_of_elements.pullback_compatible._proof_2 0.000644 s: category_theory.presieve.family_of_elements.pullback_compatible._proof_3 0.004289 s: category_theory.presieve.family_of_elements.pullback_compatible 0.002312 s: category_theory.presieve.family_of_elements.pullback_compatible.equations._eqn_1 0.002767 s: continuous_linear_equiv.prod._proof_6 0.007389 s: category_theory.over.forget_faithful 0.005204 s: category_theory.over.forget_faithful.equations._eqn_1 0.000051 s: string.iterator_imp.inhabited 0.000021 s: pnat.xgcd_type.reduce._main 0.000009 s: pnat.xgcd_type.reduce 0.000122 s: pnat.xgcd_type.reduce._main.equations._eqn_1 0.000064 s: pnat.xgcd_type.reduce.equations._eqn_1 0.000123 s: pnat.xgcd_type.step.equations._eqn_1 0.000529 s: pnat.xgcd_type.reduce_b 0.000121 s: array.equations._eqn_1 0.000158 s: array.decidable_eq._proof_1 0.003014 s: slim_check.nat.shrink'._main._pack._proof_1 0.002709 s: slim_check.nat.shrink'._main._pack._proof_3 0.006903 s: slim_check.nat.shrink'._main._pack._proof_4 0.014082 s: slim_check.nat.shrink'._main._pack._proof_5 0.236044 s: slim_check.nat.shrink'._main._pack._proof_6 0.315231 s: slim_check.nat.shrink'._main._pack.equations._eqn_1 0.000542 s: fin.cast_succ_injective 0.000365 s: fin.cast_succ_inj 0.030927 s: padic.of_rat_zero 0.000197 s: nontrivial.drec 0.000117 s: isometric.refl._proof_1 0.000180 s: isometric.refl._proof_2 0.000442 s: isometric.refl 0.008398 s: _private.4015106343.is_equivalence_isometry_rel 0.000647 s: Gromov_Hausdorff.isometry_rel.setoid 0.000447 s: Gromov_Hausdorff.GH_space 0.000318 s: bounded_continuous_function.of_normed_group_discrete._proof_1 0.001451 s: bounded_continuous_function.of_normed_group_discrete 0.000135 s: nat.discrete_topology 0.000204 s: Kuratowski_embedding.embedding_of_subset._proof_1 0.007175 s: Kuratowski_embedding.embedding_of_subset 0.001553 s: Kuratowski_embedding.embedding_of_subset_coe 0.081838 s: Kuratowski_embedding.embedding_of_subset_dist_le 0.013045 s: metric.mem_closure_range_iff 0.479870 s: Kuratowski_embedding.embedding_of_subset_isometry 0.039573 s: Kuratowski_embedding.exists_isometric_embedding 0.000604 s: Kuratowski_embedding 0.000098 s: nonempty_compacts.Kuratowski_embedding._proof_1 0.000476 s: Kuratowski_embedding.isometry 0.001009 s: nonempty_compacts.Kuratowski_embedding._proof_2 0.000595 s: nonempty_compacts.Kuratowski_embedding 0.000414 s: Gromov_Hausdorff.to_GH_space 0.000492 s: Gromov_Hausdorff.to_GH_space.equations._eqn_1 0.000204 s: isometry.injective 0.000395 s: isometry.isometric_on_range._proof_1 0.000292 s: isometry.isometric_on_range._proof_2 0.005112 s: isometry.isometric_on_range._proof_3 0.001583 s: isometry.isometric_on_range 0.004027 s: Gromov_Hausdorff.to_GH_space_eq_to_GH_space_iff_isometric 0.000494 s: filter.cofinite.equations._eqn_1 0.004747 s: subtype_val.is_group_hom 0.003351 s: subtype_val.is_group_hom.equations._eqn_1 0.000594 s: flow.sizeof 0.000234 s: flow.has_sizeof_inst 0.003720 s: finsupp.semilattice_sup.equations._eqn_1 0.028012 s: perfect_closure.r.drec 0.000113 s: simps_cfg.attrs._default 0.000077 s: simps_cfg.attrs._default.equations._eqn_1 0.000127 s: monad_functor.monad_map 0.246461 s: invariant_basis_number_of_nontrivial_of_comm_ring._match_1.equations._eqn_1 0.009449 s: Set.mem_sep 0.000681 s: list.traverse._main.equations._eqn_1 0.000069 s: measurable_space.has_sizeof_inst 0.001091 s: set.Ici.semilattice_sup._proof_1 0.000783 s: set.Ici.semilattice_sup 0.001221 s: set.Ici.semilattice_inf._proof_1 0.000555 s: set.Ici.semilattice_inf 0.000278 s: set.Ici.lattice._proof_1 0.000444 s: set.Ici.lattice._proof_2 0.000862 s: set.Ici.lattice._proof_3 0.000663 s: set.Ici.lattice._proof_4 0.000736 s: set.Ici.lattice._proof_5 0.000636 s: set.Ici.lattice._proof_6 0.000991 s: set.Ici.lattice._proof_7 0.000742 s: set.Ici.lattice._proof_8 0.000572 s: set.Ici.lattice._proof_9 0.001226 s: set.Ici.lattice._proof_10 0.022788 s: set.Ici.lattice 0.000437 s: set.Ici.bounded_lattice._proof_1 0.000328 s: set.Ici.bounded_lattice._proof_2 0.000956 s: set.Ici.bounded_lattice._proof_3 0.000529 s: set.Ici.bounded_lattice._proof_4 0.000991 s: set.Ici.bounded_lattice._proof_5 0.000803 s: set.Ici.bounded_lattice._proof_6 0.001178 s: set.Ici.bounded_lattice._proof_7 0.000894 s: set.Ici.bounded_lattice._proof_8 0.001000 s: set.Ici.bounded_lattice._proof_9 0.001342 s: set.Ici.bounded_lattice._proof_10 0.000636 s: set.Ici.bounded_lattice._proof_11 0.000751 s: set.Ici.bounded_lattice._proof_12 0.024624 s: set.Ici.bounded_lattice 0.005099 s: is_coatom.Ici 0.009880 s: is_coatomic.set.Ici.is_coatomic._match_1 0.012381 s: is_coatomic.set.Ici.is_coatomic._match_1.equations._eqn_1 0.000525 s: module.End.has_eigenvalue 0.466484 s: linear_map.finite_dimensional 0.195797 s: module.End.is_integral 0.000357 s: is_unit.submonoid._proof_1 0.017917 s: is_unit.mul 0.001911 s: is_unit.submonoid._proof_2 0.000179 s: is_unit.submonoid 0.000871 s: is_unit.mem_submonoid_iff 0.006591 s: linear_map.ker_eq_bot_of_inverse 0.014476 s: linear_equiv.of_injective_endo_right_inv 0.006916 s: linear_equiv.of_injective_endo_left_inv 0.005261 s: linear_map.is_unit_iff 0.009824 s: principal_ideal_ring.mem_submonoid_of_factors_subset_of_units_subset 0.005271 s: principal_ideal_ring.ring_hom_mem_submonoid_of_factors_subset_of_units_subset 0.167879 s: module.End.ker_aeval_ring_hom'_unit_polynomial 0.000485 s: module.End.has_eigenvalue.equations._eqn_1 0.018350 s: polynomial.leading_coeff_eq_zero_iff_deg_eq_bot 0.000492 s: algebra_map.equations._eqn_1 0.268947 s: module.End.eigenspace_aeval_polynomial_degree_1 0.045612 s: principal_ideal_ring.ne_zero_of_mem_factors 0.796988 s: module.End.exists_eigenvalue 0.000474 s: cInf_Icc 0.016143 s: pi_tensor_product.lift_add_hom._match_1.equations._eqn_6 0.001887 s: distrib_mul_action_hom.has_coe'.equations._eqn_1 0.000353 s: zmod.legendre_sym 0.001159 s: zmod.legendre_sym.equations._eqn_1 0.003542 s: zmod.legendre_sym_eq_one_or_neg_one 0.008401 s: neg_one_pow_eq_or 0.001135 s: nat.two_mul_odd_div_two 0.000355 s: nat.sub_lt_iff 0.015245 s: zmod.le_div_two_iff_lt_neg 0.003016 s: zmod.ne_neg_self 0.002177 s: zmod.pow_card_sub_one_eq_one 0.100935 s: zmod.pow_div_two_eq_neg_one_or_one 0.118851 s: zmod.legendre_sym_eq_pow 0.063997 s: finset.prod_nat_cast 0.009594 s: finset.sum_Ico_succ_top 0.008596 s: finset.prod_Ico_succ_top 0.020180 s: finset.prod_Ico_id_eq_factorial 0.004156 s: zmod.cast_mul' 0.007595 s: zmod.cast_nat_cast 0.005100 s: zmod.cast_nat_cast' 0.019776 s: zmod.nat_cast_nat_abs_val_min_abs 0.003105 s: finset.prod_filter_of_ne 0.000350 s: finset.prod_filter_ne_one 0.006197 s: finset.prod_bij_ne_one 0.004277 s: finset.inj_on_of_surj_on_of_card_le 0.000999 s: zmod.val_cast_of_lt 0.072332 s: nat.modeq.modeq_add_cancel_left 0.002675 s: nat.modeq.modeq_add_cancel_right 0.018168 s: zmod.val_add 0.007693 s: zmod.neg_val' 0.002491 s: zmod.neg_val 0.102402 s: zmod.nat_abs_val_min_abs_neg 0.134709 s: Ico_map_val_min_abs_nat_abs_eq_Ico_map_id 0.138728 s: _private.2176662995.gauss_lemma_aux₁ 0.102377 s: _private.578929755.gauss_lemma_aux₂ 0.067255 s: zmod.gauss_lemma 0.009718 s: zmod.prime_ne_zero 0.000048 s: zmod.fact_prime_two 0.012071 s: zmod.neg_eq_self_mod_two 0.000228 s: nat.div_add_mod 0.014321 s: div_eq_filter_card 0.000941 s: nat.bit0_mod_two 0.086089 s: zmod.legendre_sym_two 0.018756 s: category_theory.functor.unop._proof_1 0.004081 s: category_theory.functor.unop._proof_2 0.001767 s: category_theory.functor.unop 0.005736 s: category_theory.nat_trans.unop._proof_1 0.002169 s: category_theory.nat_trans.unop 0.004909 s: category_theory.nat_iso.unop._proof_1 0.005156 s: category_theory.nat_iso.unop._proof_2 0.001238 s: category_theory.nat_iso.unop 0.062768 s: category_theory.equivalence.unop._proof_1 0.037740 s: category_theory.equivalence.unop 0.038008 s: category_theory.equivalence.unop_unit_iso 0.000074 s: punit.topological_space 0.022286 s: category_theory.limits.cocones.functoriality_equivalence_unit_iso 0.000111 s: algebraic_geometry.SheafedSpace.sheaf._proof_2 0.002786 s: set.maps_to_bInter_bInter 0.000768 s: set.image_bInter_subset 0.002313 s: set.image_sInter_subset 1.451440 s: Group.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 0.000251 s: additive.ordered_add_comm_group._proof_2 0.000549 s: turing.TM1to1.Λ'.cases_on 0.000298 s: turing.TM1to1.Λ'.no_confusion_type 0.003892 s: turing.TM1to1.Λ'.no_confusion 0.000503 s: turing.TM1to1.Λ'.write.inj 0.001226 s: locally_constant.ring._proof_5 0.000546 s: mul_action.mul_left_cosets_comp_subtype_val 0.003561 s: subgroup.set_normalizer._proof_1 0.005378 s: subgroup.set_normalizer._proof_2 0.003233 s: subgroup.set_normalizer._proof_3 0.000606 s: subgroup.set_normalizer 0.000968 s: conj_injective 0.004388 s: subgroup.mem_normalizer_fintype 0.000334 s: mul_action.mem_orbit 0.000290 s: mul_action.mem_orbit_iff 0.000714 s: mul_action.mem_fixed_points' 0.000874 s: subgroup.mul_mem_cancel_left 0.016085 s: sylow.mem_fixed_points_mul_left_cosets_iff_mem_normalizer 0.001329 s: sylow.fixed_points_mul_left_cosets_equiv_quotient._proof_2 0.000054 s: computability.encode_bool.equations._eqn_1 0.000187 s: computable.id 0.001204 s: many_one_reducible_refl 0.000121 s: many_one_equiv_refl 0.000212 s: many_one_equiv.symm 0.001720 s: many_one_reducible.trans 0.000837 s: many_one_equiv.trans 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many_one_degree.partial_order 0.001273 s: perfect_closure.comm_monoid._match_2.equations._eqn_1 0.002208 s: Set.sep._match_5.equations._eqn_1 0.000480 s: category_theory.monoidal_functor.id._proof_1 0.000467 s: category_theory.monoidal_functor.id._proof_2 0.007783 s: category_theory.monoidal_functor.id._proof_3 0.014463 s: category_theory.monoidal_functor.id._proof_4 0.007358 s: category_theory.monoidal_functor.id._proof_5 0.007480 s: category_theory.monoidal_functor.id._proof_6 0.000136 s: category_theory.monoidal_functor.id._proof_7 0.000708 s: category_theory.monoidal_functor.id._proof_8 0.010922 s: category_theory.monoidal_functor.id 0.005060 s: category_theory.lax_braided_functor.id._proof_1 0.000764 s: category_theory.lax_braided_functor.id 0.000116 s: category_theory.lax_braided_functor.inhabited 0.000293 s: category_theory.lax_braided_functor.inhabited.equations._eqn_1 0.001126 s: is_cyclic.comm_group._match_1 0.000641 s: is_cyclic.comm_group._match_2 0.000306 s: is_cyclic.comm_group._match_3 0.000194 s: is_cyclic.comm_group._proof_1 0.001217 s: is_cyclic.comm_group 0.000899 s: is_cyclic.comm_group.equations._eqn_1 0.002445 s: affine_equiv.cases_on 0.006201 s: affine_equiv.to_affine_map_mk 0.002568 s: affine_map.no_confusion_type 0.001927 s: affine_map.no_confusion 0.003255 s: affine_map.mk.inj 0.006669 s: affine_map.mk.inj_eq 0.000447 s: equiv.coe_inj 0.003005 s: linear_equiv.to_linear_map_injective 0.000606 s: linear_equiv.to_linear_map_inj 0.011292 s: affine_equiv.to_affine_map_injective 0.003781 s: affine_equiv.ext 0.046053 s: affine_equiv.trans_assoc 0.000516 s: affine_equiv.refl._proof_1 0.002112 s: affine_equiv.refl 0.012211 s: affine_equiv.trans_refl 0.004078 s: affine_equiv.refl_trans 0.000331 s: vadd_left_cancel_iff 0.005867 s: affine_equiv.symm._proof_1 0.001527 s: affine_equiv.symm 0.231518 s: affine_equiv.group._proof_7 0.000847 s: list.map_accumr₂._main.equations._eqn_3 0.000226 s: list.map_accumr₂.equations._eqn_3 0.019666 s: set.Iic.order_bot._match_1.equations._eqn_1 0.000274 s: monad_writer.sizeof 0.000804 s: monad_writer.mk.sizeof_spec 0.004037 s: category_theory.iso.CommGroup_iso_to_mul_equiv 0.001462 s: CommGroup.ext 0.007501 s: mul_equiv.to_CommGroup_iso._proof_1 0.005516 s: mul_equiv.to_CommGroup_iso._proof_2 0.001104 s: mul_equiv.to_CommGroup_iso 0.004622 s: mul_equiv_iso_CommGroup_iso._proof_2 0.000605 s: equiv.subtype_congr 0.001799 s: fintype.card_compl_eq_card_compl 0.001085 s: equiv.to_compl._proof_1 0.000223 s: equiv.to_compl 0.000403 s: equiv.extend_subtype 0.000736 s: equiv.subtype_congr.equations._eqn_1 0.026401 s: equiv.extend_subtype_apply_of_not_mem 0.000200 s: psigma.sizeof._main 0.000125 s: psigma.sizeof 0.000170 s: psigma.has_sizeof 0.000380 s: functor.comp.inhabited 0.000510 s: asymptotics.is_O.of_norm_norm 0.010449 s: list.take_length 0.008387 s: list.sum_take_map_length_lt1 0.016990 s: list.sum_take_map_length_lt2 0.003083 s: is_locally_constant.comp_continuous 0.000278 s: locally_constant.comap._proof_1 0.000648 s: nnreal.of_real_lt_of_real_iff_of_nonneg 0.000643 s: ennreal.of_real_lt_of_real_iff_of_nonneg 0.001184 s: metric.emetric_ball 0.000727 s: metric.emetric_ball_nnreal 0.001557 s: metric_space.induced.equations._eqn_1 0.000491 s: turing.TM0.stmt.map._main 0.004319 s: Algebra.has_forget_to_Ring._proof_1 0.002509 s: Algebra.has_forget_to_Ring._proof_2 0.050829 s: Algebra.has_forget_to_Ring._proof_3 0.051844 s: Algebra.has_forget_to_Ring 0.008529 s: Algebra.limit_π_alg_hom._proof_4 0.007199 s: category_theory.fully_faithful_cancel_right_hom_app 0.000502 s: is_closed_omega_limit 0.000235 s: _private.2148780665.fintype_helper._match_2.equations._eqn_2 0.002442 s: multilinear_map.dom_dom_congr_linear_equiv._proof_1 0.003298 s: multilinear_map.dom_dom_congr_equiv_apply 0.018284 s: multilinear_map.dom_dom_congr_linear_equiv._proof_2 0.004329 s: multilinear_map.dom_dom_congr_linear_equiv._proof_3 0.002446 s: multilinear_map.dom_dom_congr_linear_equiv._proof_4 0.011155 s: multilinear_map.dom_dom_congr_linear_equiv 0.013099 s: pi_tensor_product.lift_symm 0.007192 s: multilinear_map.dom_dom_congr_linear_equiv_apply 0.121647 s: pi_tensor_product.reindex._proof_12 0.016258 s: distrib_lattice.cases_on 0.003693 s: distrib_lattice.copy._aux_1 0.004250 s: distrib_lattice.copy._aux_2 0.003648 s: distrib_lattice.copy._aux_3 0.004920 s: distrib_lattice.copy._aux_7 0.001394 s: lie_subalgebra.partial_order._proof_1 0.002016 s: lie_subalgebra.partial_order._proof_2 0.001564 s: lie_subalgebra.partial_order._proof_3 0.001135 s: lie_subalgebra.partial_order._proof_4 0.022666 s: lie_subalgebra.partial_order 0.010295 s: lie_subalgebra.hom_of_le._proof_1 0.004109 s: lie_subalgebra.hom_of_le._proof_2 0.004479 s: lie_subalgebra.hom_of_le._proof_3 0.100865 s: lie_subalgebra.hom_of_le 0.010438 s: lie_subalgebra.of_le 0.004499 s: lie_subalgebra.comap._proof_1 0.004805 s: lie_subalgebra.comap._proof_2 0.001686 s: lie_subalgebra.comap._proof_3 0.001813 s: lie_subalgebra.mem_coe_submodule 0.005632 s: lie_subalgebra.comap._proof_4 0.002487 s: lie_subalgebra.comap 0.002534 s: lie_subalgebra.of_le.equations._eqn_1 0.009655 s: lie_subalgebra.hom_of_le_apply 0.013037 s: lie_subalgebra.mem_of_le 0.006654 s: lie_subalgebra.of_le_eq_comap_incl 0.001722 s: lcm_eq_left_iff 0.004354 s: continuous_linear_map.comp.equations._eqn_1 0.001673 s: multilinear_map.ext_iff 0.113200 s: linear_map.to_matrix_alg_equiv.equations._eqn_1 0.020981 s: alg_equiv.of_linear_equiv_apply 0.108076 s: linear_map.to_matrix_alg_equiv_apply 0.043728 s: linear_map.to_matrix_alg_equiv_apply' 0.005047 s: monad_io_file_system.rec_on 0.003773 s: category_theory.liftable_cone.cases_on 0.001296 s: category_theory.liftable_cone.no_confusion_type 0.002128 s: category_theory.liftable_cone.no_confusion 0.001995 s: category_theory.liftable_cone.mk.inj 0.001735 s: category_theory.liftable_cone.mk.inj_arrow 0.000081 s: ordnode.find_gt_aux 0.001264 s: ordnode.find_gt_aux._main.equations._eqn_2 0.000203 s: ordnode.find_gt_aux.equations._eqn_2 0.000322 s: category_theory.limits.has_images.rec_on 0.000094 s: tactic.interactive.case_tag.no_confusion_type 0.000344 s: tactic.interactive.case_tag.no_confusion 0.000128 s: tactic.interactive.case_tag.pi.inj 0.000072 s: tactic.interactive.case_tag.pi.inj_arrow 0.029520 s: dfinsupp.zip_with_def 0.003191 s: vector.map._main 0.001794 s: category_theory.nat_trans.vcomp_app 0.006260 s: list.filter_filter 0.001210 s: list.countp_filter 0.000192 s: except_t.cases_on 0.000099 s: except_t.no_confusion_type 0.084161 s: ring.fractional_ideal.fractional_map 0.041974 s: ring.fractional_ideal.map 0.041764 s: ring.fractional_ideal.map_add 0.006760 s: ring.fractional_ideal.map_equiv._proof_4 0.000318 s: finset.has_union.union.is_commutative 0.000191 s: finset.has_union.union.is_associative 0.004455 s: finset.fold_union_empty_singleton 0.002669 s: finset.fold_sup_bot_singleton 0.000132 s: function.surjective.group_with_zero._proof_9 0.091121 s: intermediate_field.is_scalar_tower_over_bot.equations._eqn_1 0.000096 s: group.normal_closure 0.026858 s: dfinsupp.sum_add_hom_apply 0.013415 s: dfinsupp.sum_single 0.000080 s: is_max_on 0.000906 s: is_max_on_dual_iff 0.000291 s: prod.cancel_add_comm_monoid._proof_1 0.000379 s: prod.cancel_add_comm_monoid._proof_2 0.000338 s: prod.cancel_add_comm_monoid._proof_3 0.000260 s: prod.cancel_add_comm_monoid._proof_4 0.003103 s: prod.cancel_add_comm_monoid._proof_5 0.000534 s: prod.cancel_add_comm_monoid._proof_6 0.000282 s: prod.cancel_add_comm_monoid._proof_7 0.004779 s: prod.cancel_add_comm_monoid 0.000299 s: prod.ordered_cancel_add_comm_monoid._proof_1 0.000103 s: pfunctor.Idx.equations._eqn_1 0.013246 s: zsqrtd.smul_val 0.007474 s: zsqrtd.sq_le_smul 0.008175 s: zsqrtd.nonneg_smul 0.012708 s: zsqrtd.muld_val 0.014593 s: zsqrtd.nonneg_muld 0.000048 s: zsqrtd.semigroup 0.006914 s: zsqrtd.nonneg_mul_lem 0.000363 s: zsqrtd.mk.inj_eq 0.001444 s: int.mul_nonneg 0.136893 s: zsqrtd.sq_le_mul 0.051180 s: zsqrtd.nonneg_mul 0.000241 s: algebraic_geometry.PresheafedSpace.has_sizeof_inst 0.000915 s: algebraic_geometry.SheafedSpace.sizeof 0.001352 s: algebraic_geometry.SheafedSpace.mk.sizeof_spec 0.004336 s: invertible.mk.inj_arrow 0.004255 s: is_lawful_bitraversable.id_bitraverse 0.000751 s: bitraversable.id_tfst 0.000260 s: bitraversable.tfst_id 0.001240 s: complete_semilattice_Sup.sizeof 0.000033 s: complete_semilattice_Sup.has_sizeof_inst 0.001372 s: option.map_eq_none 0.000991 s: category_theory.subobject.wide_pullback._proof_1 0.000359 s: category_theory.subobject.wide_pullback 0.000054 s: category_theory.subobject.wide_pullback_ι._proof_1 0.000110 s: category_theory.subobject.Inf._proof_1 0.000384 s: category_theory.subobject.wide_pullback_ι._proof_2 0.001669 s: category_theory.subobject.wide_pullback_ι 0.000096 s: category_theory.subobject.Inf._proof_2 0.014256 s: category_theory.subobject.wide_pullback_ι_mono 0.000334 s: category_theory.subobject.Inf._proof_3 0.000387 s: category_theory.subobject.Inf 0.032235 s: category_theory.subobject.mk_arrow 0.006452 s: category_theory.subobject.mk_le_mk_of_comm 0.000997 s: category_theory.subobject.le_of_comm 0.006263 s: category_theory.subobject.underlying_iso 0.007916 s: category_theory.subobject.underlying_iso_arrow 0.005433 s: category_theory.subobject.le_Inf_cone_π_app_none 0.006580 s: category_theory.subobject.le_Inf 0.000428 s: category_theory.subobject.complete_semilattice_Inf._proof_7 0.001130 s: lie_ring.rec_on 0.002411 s: equiv.perm.subtype_perm_of_fintype_one 0.003038 s: linear_map.pi_apply 0.062113 s: linear_map.infi_ker_proj_equiv._proof_3 0.008918 s: linear_order.decidable_lt._default.equations._eqn_1 0.000417 s: language.add_def 0.004001 s: language.semiring._proof_18 0.002623 s: filter.tendsto_at_bot_principal 0.000475 s: category_theory.is_right_adjoint.sizeof 0.000133 s: category_theory.is_right_adjoint.has_sizeof_inst 0.000094 s: functor.add_const.run 0.000169 s: functor.add_const.run.equations._eqn_1 0.000392 s: Meas.concrete_category 0.001656 s: Top.has_forget_to_Meas._proof_1 0.002925 s: Top.has_forget_to_Meas._proof_2 0.004459 s: Top.has_forget_to_Meas 0.000237 s: mul_hom.has_one._proof_1 0.000276 s: mul_hom.has_one 0.000081 s: mul_hom.inhabited 0.001519 s: finmap.ext 0.000170 s: finmap.ext_iff 0.000361 s: finmap.has_decidable_eq._main 0.000384 s: CommMon_.forget₂_Mon_ 0.002541 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_1 0.002004 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_2 0.001492 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_3 0.011873 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_4 0.034213 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_5 0.053829 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse._proof_6 0.157683 s: category_theory.monoidal.CommMon_functor_category_equivalence.inverse 1.386435 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_9 0.000188 s: int.pos_of_neg_neg 0.000123 s: slim_check.give_up.equations._eqn_2 0.000547 s: subsemiring.prod._proof_1 0.003760 s: subsemiring.prod._proof_2 0.000712 s: subsemiring.prod._proof_3 0.002899 s: subsemiring.prod._proof_4 0.025111 s: subsemiring.prod 0.004645 s: subsemiring.mem_prod 0.067409 s: category_theory.monoidal.Mon_functor_category_equivalence.unit_iso.equations._eqn_1 0.000529 s: poly.sub._main.equations._eqn_1 0.000255 s: poly.sub.equations._eqn_1 0.000092 s: zsqrtd.nonsquare.ns 0.004995 s: zsqrtd.d_pos 0.082994 s: is_scalar_tower.subalgebra 0.069709 s: is_scalar_tower.subalgebra.equations._eqn_1 0.019281 s: lie_group 0.002263 s: lie_group.compatible 0.002544 s: lie_group.smooth_mul 0.001746 s: lie_group.to_has_smooth_mul 0.004245 s: lie_group.smooth_inv 0.000958 s: smooth_inv 0.002730 s: smooth.inv 0.009489 s: smooth.div 0.018975 s: smooth_map_group._proof_8 0.005947 s: equiv_iso_iso._proof_1 0.001687 s: equiv_iso_iso._proof_2 0.000463 s: equiv_iso_iso 0.000406 s: equiv_iso_iso_hom 0.000369 s: set.nonempty_of_nonempty_subtype 0.000244 s: set.image.nonempty 0.028161 s: with_top.coe_Inf 0.243824 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_14 0.004928 s: category_theory.subobject.lattice._proof_3 0.000897 s: monoid_with_zero_hom.to_zero_hom_coe 0.000354 s: divp.equations._eqn_1 0.004810 s: divp_divp_eq_divp_mul 0.000319 s: divp_assoc 0.005427 s: divp_mul_divp 0.000404 s: monoid_algebra.single_one_alg_hom._proof_1 0.000268 s: monoid_algebra.single_one_alg_hom._proof_2 0.000184 s: monoid_algebra.single_one_alg_hom._proof_3 0.000370 s: monoid_algebra.single_one_alg_hom._proof_4 0.007477 s: monoid_algebra.single_one_alg_hom._proof_5 0.001222 s: monoid_algebra.single_one_alg_hom 0.013410 s: Module.Mon_Module_equivalence_Algebra.inverse_obj_X 0.000236 s: ordnode.span._match_1 0.000071 s: ordnode.span._match_2 0.002997 s: ordnode.span._main 0.000080 s: ordnode.span 0.001278 s: ordnode.span._main.equations._eqn_2 0.000261 s: ordnode.span.equations._eqn_2 0.000326 s: is_total_preorder 0.000053 s: is_total_preorder.to_is_total 0.000043 s: is_total_preorder.to_is_trans 0.000314 s: is_total_preorder_is_preorder 0.000280 s: domain.nsmul._default 0.000203 s: linear_nonneg_ring.nsmul._default 0.000240 s: linear_nonneg_ring.nsmul._default.equations._eqn_1 0.000098 s: Set.funs 0.000084 s: Set.funs.equations._eqn_1 0.001144 s: lie_subalgebra.has_Inf._proof_1 0.001646 s: lie_subalgebra.has_Inf._proof_2 0.001393 s: lie_subalgebra.has_Inf._proof_3 0.007825 s: lie_subalgebra.has_Inf._proof_4 0.002408 s: lie_subalgebra.has_Inf 0.002201 s: lie_subalgebra.Inf_coe_to_submodule 0.004039 s: lie_subalgebra.Inf_coe 0.004933 s: lie_subalgebra.Inf_glb 0.001310 s: lie_subalgebra.complete_lattice._proof_7 0.002246 s: rel_iso.coe_fn_symm_mk 0.000873 s: category_theory.symmetric_category.cases_on 0.001387 s: set.is_wf.min_mem 0.000554 s: nat.decidable_exists_lt._main._proof_1 0.000146 s: fintype.card_le_one_iff_subsingleton 0.010676 s: matrix.det_eq_elem_of_card_eq_one 0.006537 s: matrix.adjugate_eq_one_of_card_eq_one 0.239356 s: matrix.det_adjugate_of_is_unit 0.043900 s: category_theory.adjunction.functoriality_unit'.equations._eqn_1 0.005151 s: finset.image_image 0.000049 s: int.has_lt.equations._eqn_1 0.000533 s: nat.subtype.of_nat._sunfold 0.002973 s: add_action.comp_hom._proof_1 0.000231 s: algebraic_geometry.LocallyRingedSpace.to_Top._proof_1 0.000579 s: algebraic_geometry.LocallyRingedSpace.to_SheafedSpace 0.000146 s: algebraic_geometry.LocallyRingedSpace.to_Top 0.000092 s: algebraic_geometry.LocallyRingedSpace.has_coe_to_sort 0.002068 s: topological_space.open_nhds.open_embedding 0.000094 s: algebraic_geometry.Spec.SheafedSpace._proof_1 0.000058 s: algebraic_geometry.Spec.SheafedSpace._proof_2 0.001330 s: algebraic_geometry.Spec.SheafedSpace 0.000062 s: algebraic_geometry.Spec.PresheafedSpace 0.008080 s: algebraic_geometry.Scheme 0.000060 s: algebraic_geometry.LocallyRingedSpace.hom._proof_1 0.000067 s: algebraic_geometry.LocallyRingedSpace.hom._proof_2 0.000132 s: algebraic_geometry.LocallyRingedSpace.hom._proof_3 0.000744 s: algebraic_geometry.PresheafedSpace.stalk 0.000078 s: algebraic_geometry.LocallyRingedSpace.hom._proof_4 0.002972 s: topological_space.open_nhds.map._proof_1 0.007338 s: topological_space.open_nhds.map._proof_2 0.007329 s: topological_space.open_nhds.map._proof_3 0.011703 s: topological_space.open_nhds.map 0.004145 s: Top.presheaf.stalk_pushforward._proof_1 0.001166 s: Top.presheaf.stalk_pushforward._proof_2 0.035032 s: topological_space.open_nhds.inclusion_map_iso._proof_1 0.045705 s: topological_space.open_nhds.inclusion_map_iso._proof_2 0.047306 s: topological_space.open_nhds.inclusion_map_iso._proof_3 0.040393 s: topological_space.open_nhds.inclusion_map_iso 0.005076 s: Top.presheaf.stalk_pushforward._proof_3 0.005752 s: Top.presheaf.stalk_pushforward._proof_4 0.076814 s: Top.presheaf.stalk_pushforward 0.018949 s: algebraic_geometry.PresheafedSpace.stalk_map 0.004845 s: algebraic_geometry.LocallyRingedSpace.hom 0.000091 s: algebraic_geometry.LocallyRingedSpace.id._proof_1 0.003374 s: category_theory.limits.colimit.ι_map_assoc 0.000497 s: category_theory.functor.op_obj 0.000083 s: opposite.unop_inj_iff 0.000987 s: topological_space.opens.map_id_obj_unop 0.001302 s: topological_space.opens.op_map_id_obj 0.017828 s: Top.presheaf.pushforward.id_hom_app' 0.026415 s: Top.presheaf.pushforward.id_hom_app 0.154009 s: Top.presheaf.stalk_pushforward.id 0.057545 s: algebraic_geometry.PresheafedSpace.stalk_map.id 0.000897 s: is_local_ring_hom_id 0.012879 s: algebraic_geometry.LocallyRingedSpace.id._proof_2 0.005281 s: algebraic_geometry.LocallyRingedSpace.id 0.000078 s: algebraic_geometry.LocallyRingedSpace.comp._proof_1 0.003137 s: category_theory.limits.colimit.ι_pre_assoc 1.000420 s: algebraic_geometry.PresheafedSpace.stalk_map.comp 0.000606 s: is_local_ring_hom.map_nonunit 0.006981 s: is_local_ring_hom_comp 0.029947 s: algebraic_geometry.LocallyRingedSpace.comp._proof_2 0.008789 s: algebraic_geometry.LocallyRingedSpace.comp 0.008642 s: algebraic_geometry.LocallyRingedSpace.hom_ext 0.009142 s: algebraic_geometry.LocallyRingedSpace.comp_coe 0.009910 s: algebraic_geometry.LocallyRingedSpace.id_coe 0.010328 s: algebraic_geometry.LocallyRingedSpace.category_theory.category._proof_1 0.009828 s: algebraic_geometry.LocallyRingedSpace.category_theory.category._proof_2 0.023206 s: algebraic_geometry.LocallyRingedSpace.category_theory.category._proof_3 0.001089 s: algebraic_geometry.LocallyRingedSpace.category_theory.category 0.005293 s: algebraic_geometry.Scheme.X 0.000692 s: algebraic_geometry.LocallyRingedSpace.local_ring 0.000280 s: algebraic_geometry.Scheme.to_LocallyRingedSpace._proof_1 0.000130 s: algebraic_geometry.Scheme.to_LocallyRingedSpace 0.000089 s: algebraic_geometry.Scheme.category_theory.category 0.000105 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_1 0.000081 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_2 0.000055 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_3 0.000057 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_4 0.006658 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_5 0.005862 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace._proof_6 0.011799 s: algebraic_geometry.LocallyRingedSpace.forget_to_SheafedSpace 0.000084 s: algebraic_geometry.SheafedSpace.Γ._proof_1 0.000041 s: algebraic_geometry.SheafedSpace.Γ._proof_2 0.000063 s: algebraic_geometry.SheafedSpace.Γ._proof_3 0.000038 s: algebraic_geometry.SheafedSpace.Γ._proof_4 0.000036 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace._proof_1 0.000058 s: algebraic_geometry.SheafedSpace.Γ._proof_5 0.000037 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace._proof_2 0.000057 s: algebraic_geometry.SheafedSpace.Γ._proof_6 0.000036 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace._proof_3 0.000067 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace._proof_4 0.000629 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace 0.000079 s: algebraic_geometry.SheafedSpace.Γ._proof_7 0.000272 s: topological_space.opens.le_map_top._proof_1 0.005404 s: topological_space.opens.le_map_top 0.001632 s: category_theory.unop_id_op 0.047469 s: algebraic_geometry.PresheafedSpace.Γ._proof_1 0.030947 s: algebraic_geometry.PresheafedSpace.comp_c_app 0.287448 s: algebraic_geometry.PresheafedSpace.Γ._proof_2 0.032084 s: algebraic_geometry.PresheafedSpace.Γ 0.001006 s: algebraic_geometry.SheafedSpace.Γ 0.000186 s: algebraic_geometry.LocallyRingedSpace.Γ._proof_1 0.000515 s: algebraic_geometry.LocallyRingedSpace.Γ 0.000345 s: algebraic_geometry.Scheme.Γ 0.006397 s: algebraic_geometry.Scheme.Γ_obj 0.002604 s: model_with_corners.cases_on 0.001422 s: model_with_corners.no_confusion_type 0.001921 s: subgroup.prod_equiv._proof_2 0.000438 s: trunc_of_multiset_exists_mem._proof_1 0.002221 s: trunc_of_multiset_exists_mem._match_1 0.000455 s: trunc_of_multiset_exists_mem 0.000688 s: trunc_of_nonempty_fintype._proof_1 0.000169 s: trunc_of_nonempty_fintype 0.000224 s: trunc_sigma_of_exists._proof_1 0.000229 s: psigma.fintype_prop_right._proof_1 0.000922 s: psigma.fintype_prop_right._match_4 0.000264 s: psigma.fintype_prop_right._proof_2 0.000541 s: psigma.fintype_prop_right 0.000209 s: trunc_sigma_of_exists 0.000159 s: stream.even 0.000025 s: stream.odd 0.000107 s: stream.odd_eq 0.000449 s: stream.nth_succ 0.000180 s: stream.even.equations._eqn_1 0.001670 s: stream.tail_even 0.004786 s: stream.nth_even 0.001056 s: stream.nth_odd 0.000994 s: stream.mem_of_mem_odd 0.000169 s: filter.ne_bot.cases_on 0.000904 s: list.mfoldl._main 0.000062 s: list.mfoldl 0.001139 s: list.mfoldl._main.equations._eqn_2 0.000344 s: list.mfoldl.equations._eqn_2 0.000665 s: locally_constant.no_confusion 0.000259 s: locally_constant.mk.inj 0.000262 s: locally_constant.mk.inj_arrow 0.000634 s: fixed_points.complete_lattice._proof_3 0.001250 s: category_theory.limits.has_colimits.drec 0.003927 s: omega_complete_partial_order.continuous_hom.id_comp 0.002045 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product._proof_1 0.001610 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product._proof_2 0.021048 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product._proof_3 0.020350 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product._proof_4 0.011856 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product._proof_5 0.023583 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product 0.073495 s: algebra.tensor_product.lid._proof_1 0.071930 s: algebra.tensor_product.lid._proof_2 0.077891 s: algebra.tensor_product.lid 0.061367 s: algebra.tensor_product.lid.equations._eqn_1 0.025288 s: algebra.tensor_product.alg_equiv_of_linear_equiv_tensor_product_apply 0.049250 s: algebra.tensor_product.lid_tmul 0.000558 s: set.Inter_eq_Inter_finset 0.000898 s: topological_group.dcases_on 0.000324 s: list.nth._main.equations._eqn_1 0.000138 s: list.nth.equations._eqn_1 0.011988 s: list.head_add_tail_sum' 0.003163 s: add_subgroup.closure_induction 0.000249 s: add_subgroup.gi._proof_1 0.000258 s: add_subgroup.gi._proof_2 0.000178 s: add_subgroup.gi._proof_3 0.007691 s: add_subgroup.gi 0.017201 s: add_subgroup.closure_union 0.000499 s: add_subgroup.closure_eq 0.019306 s: add_subgroup.mem_sup 0.003312 s: add_subgroup.mem_inf 0.015660 s: add_subgroup.is_modular_lattice 0.035106 s: is_basis.equiv_fun_total 0.000539 s: ulift.has_div 0.000366 s: ulift.has_inv 0.028812 s: ulift.group._proof_6 0.005022 s: filter.realizer.map._proof_1 0.002703 s: filter.realizer.map._proof_2 0.037525 s: filter.realizer.map._proof_3 0.013560 s: filter.realizer.map 0.001632 s: filter.realizer.map_F 0.001518 s: category_theory.limits.inhabited_cone._match_1 0.007608 s: category_theory.limits.inhabited_cone._proof_1 0.001624 s: category_theory.limits.inhabited_cone 0.001154 s: category_theory.limits.inhabited_cone.equations._eqn_1 0.000691 s: mem_chart_target 0.000207 s: is_simple_lattice.complete_lattice._proof_1 0.000267 s: is_simple_lattice.complete_lattice._proof_2 0.000936 s: is_simple_lattice.complete_lattice._proof_3 0.000336 s: is_simple_lattice.complete_lattice._proof_4 0.000353 s: is_simple_lattice.complete_lattice._proof_5 0.000328 s: is_simple_lattice.complete_lattice._proof_6 0.000618 s: is_simple_lattice.complete_lattice._proof_7 0.000317 s: is_simple_lattice.complete_lattice._proof_8 0.000284 s: 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category_theory.monoidal.from_transported 0.004967 s: category_theory.monoidal.from_transported.equations._eqn_1 0.000098 s: quiver.path.comp 0.001610 s: quiver.path.comp_cons 0.004822 s: quiver.path.nil_comp 0.000222 s: cc_config 0.000134 s: ematch_config 0.000112 s: smt_pre_config 0.000127 s: smt_config 0.000079 s: smt_config.rec_on 0.000069 s: ordering.swap._main 0.000029 s: ordering.swap 0.000093 s: ordering.swap._main.equations._eqn_3 0.000019 s: ordering.swap.equations._eqn_3 0.017726 s: map_fst_nhds_within 0.014281 s: map_fst_nhds 0.000430 s: is_open_map_fst 0.000336 s: is_open_map_snd 0.003793 s: is_open_prod_iff' 0.011397 s: category_theory.limits.cocone.unop._proof_1 0.003681 s: category_theory.limits.cocone.unop 0.000473 s: submodule.is_principal.generator._proof_1 0.000408 s: submodule.is_principal.generator 0.000868 s: submodule.is_principal.span_singleton_generator 0.003304 s: submodule.is_principal.generator_mem 0.000965 s: monoid_hom.eq_of_eq_on_mtop 0.004130 s: monoid_hom.eq_on_mclosure 0.000722 s: monoid_hom.eq_of_eq_on_mdense 0.000262 s: prod.ordered_cancel_comm_monoid._proof_9 0.000772 s: submodule.span_zero 0.008032 s: is_solvable_by_rad 0.040449 s: solvable_by_rad._proof_1 0.053544 s: solvable_by_rad._proof_2 0.012125 s: solvable_by_rad 0.006267 s: solvable_by_rad.equations._eqn_1 0.026200 s: ulift.ring._proof_6 0.000332 s: mul_inv_cancel_of_invertible 0.003708 s: invertible_inv._proof_1 0.000405 s: list.foldr_with_index_aux._main 0.000072 s: list.foldr_with_index_aux 0.000048 s: list.foldr_with_index 0.000140 s: list.find_indexes 0.000194 s: list.indexes_values 0.000235 s: list.find_indexes.equations._eqn_1 0.000092 s: list.foldr_with_index_aux_spec 0.000177 s: list.foldr_with_index.equations._eqn_1 0.000940 s: list.foldr_with_index_aux._main.equations._eqn_2 0.000166 s: list.foldr_with_index_aux.equations._eqn_2 0.002094 s: list.foldr_with_index_aux_spec_cons 0.002197 s: list.foldr_with_index_aux_eq_foldr_with_index_aux_spec 0.000211 s: list.foldr_with_index_aux_spec.equations._eqn_1 0.001159 s: list.foldr_with_index_eq_foldr_enum 0.000290 s: list.indexes_values.equations._eqn_1 0.000369 s: list.filter._main.equations._eqn_1 0.000106 s: list.filter.equations._eqn_1 0.001022 s: list.filter_eq_foldr 0.002357 s: list.indexes_values_eq_filter_enum 0.003104 s: list.map_filter_eq_foldr 0.001603 s: list.find_indexes_eq_map_indexes_values 0.000420 s: pos_num.one_bits._main 0.000041 s: pos_num.one_bits 0.001946 s: category_theory.regular_epi.cases_on 0.002109 s: category_theory.regular_epi.no_confusion_type 0.001230 s: category_theory.regular_epi.no_confusion 0.001190 s: quotient_add_group.fintype 0.000270 s: quiver.path.ibelow 0.001817 s: ordered_comm_ring.to_comm_ring 0.000516 s: quaternion.domain._proof_1 0.000490 s: quaternion.domain._proof_2 0.000365 s: quaternion.domain._proof_3 0.000743 s: quaternion.domain._proof_4 0.000758 s: quaternion.domain._proof_5 0.001342 s: quaternion.domain._proof_6 0.001234 s: quaternion.domain._proof_7 0.000329 s: quaternion.domain._proof_8 0.000594 s: quaternion.domain._proof_9 0.000401 s: quaternion.domain._proof_10 0.000245 s: quaternion.domain._proof_11 0.000425 s: quaternion.domain._proof_12 0.000346 s: quaternion.domain._proof_13 0.000278 s: quaternion.domain._proof_14 0.000289 s: quaternion.domain._proof_15 0.172902 s: quaternion.domain._proof_16 0.047648 s: quaternion_algebra.conj_zero 0.022125 s: quaternion.conj_zero 0.003059 s: quaternion.zero_re 0.029655 s: quaternion.norm_sq._proof_1 0.000435 s: quaternion.has_coe_t 0.025253 s: quaternion.conj_coe 0.015925 s: quaternion.conj_one 0.001775 s: quaternion.one_re 0.040933 s: quaternion.norm_sq._proof_2 0.000803 s: quaternion.coe_injective 0.041987 s: quaternion_algebra.commute_self_conj 0.012648 s: quaternion_algebra.coe_mul 0.014095 s: quaternion_algebra.coe_neg 0.076330 s: quaternion_algebra.conj_mul_eq_coe 0.026712 s: quaternion_algebra.mul_conj_eq_coe 0.016287 s: quaternion.mul_conj_eq_coe 0.018231 s: quaternion.conj_mul 0.001159 s: quaternion.coe_commutes 0.000818 s: quaternion.coe_mul 0.029559 s: quaternion.norm_sq._proof_3 0.019387 s: quaternion.norm_sq 0.005020 s: add_eq_zero_iff_eq_zero_of_nonneg 0.013433 s: quaternion.norm_sq_def 0.028043 s: quaternion.conj_re 0.042388 s: quaternion.conj_im_i 0.039409 s: quaternion.conj_im_j 0.037530 s: quaternion.conj_im_k 0.020887 s: quaternion.norm_sq_def' 0.412126 s: quaternion.norm_sq_eq_zero 0.365189 s: quaternion.domain._proof_17 0.174260 s: quaternion.domain 0.267288 s: quaternion.has_inv 0.269625 s: quaternion.has_inv_inv 0.538403 s: quaternion.division_ring._proof_24 0.000293 s: free_monoid.lift._proof_1 0.029186 s: free_monoid.lift._proof_2 0.001119 s: free_monoid.rec_on 0.000958 s: free_monoid.hom_eq 0.005373 s: free_monoid.lift._proof_4 0.002679 s: free_monoid.lift 0.002146 s: free_ring.lift 0.000274 s: free_ring.to_free_comm_ring 0.000265 s: free_ring.free_comm_ring.has_coe 0.000038 s: free_ring.of 0.007844 s: free_ring.lift_of 0.026310 s: free_ring.coe_of 0.000264 s: affine.triangle 0.079728 s: affine.triangle.orthocenter 0.000153 s: int.shift2._sunfold 0.000374 s: tactic.ring2.csring_expr.pow.inj 0.000125 s: tactic.ring2.csring_expr.pow.inj_arrow 0.017534 s: category_theory.arrow.w_mk_right 0.005901 s: category_theory.arrow.square_to_snd._proof_1 0.002774 s: category_theory.arrow.square_to_snd 0.002957 s: category_theory.arrow.square_to_snd.equations._eqn_1 0.000975 s: Mod.hom.hom 0.001287 s: Mod.hom.act_hom 0.001642 s: Mod.hom.act_hom_assoc 0.002119 s: Mod.comp._proof_1 0.000594 s: Mod.comp 0.000925 s: Mod.comp_hom 0.000446 s: ulift.bind._main.equations._eqn_1 0.000197 s: ulift.bind.equations._eqn_1 0.000718 s: quotient.map'.equations._eqn_1 0.000151 s: sigma.decidable_eq._match_2._proof_2 0.000220 s: sylow.vectors_prod_eq_one 0.000085 s: list.rotate._match_1 0.000067 s: list.rotate 0.002351 s: list.rotate_nil 0.000490 s: list.rotate'_nil 0.000314 s: list.rotate'_zero 0.001021 s: list.rotate'_cons_succ 0.011211 s: list.rotate'_rotate' 0.004503 s: list.drop_append_of_le_length 0.002770 s: list.take_append_of_le_length 0.014222 s: list.rotate'_eq_take_append_drop 0.002699 s: list.drop_length 0.002016 s: list.rotate'_length 0.005875 s: list.rotate'_length_mul 0.000545 s: list.rotate'_mod 0.000181 s: list.rotate.equations._eqn_1 0.000362 s: list.rotate._match_1.equations._eqn_1 0.003902 s: list.rotate_eq_rotate' 0.000208 s: list.length_rotate 0.002079 s: sylow.rotate_vectors_prod_eq_one._proof_1 0.001041 s: list.rotate_mod 0.000200 s: list.rotate_eq_take_append_drop 0.000196 s: eq_inv_iff_eq_inv 0.000445 s: mul_eq_one_iff_inv_eq 0.006674 s: list.prod_rotate_eq_one_of_prod_eq_one 0.000940 s: sylow.rotate_vectors_prod_eq_one._proof_2 0.001117 s: sylow.rotate_vectors_prod_eq_one 0.000615 s: list.rotate_rotate 0.007044 s: sylow.rotate_vectors_prod_eq_one.mul_action._match_1 0.000157 s: widget.mouse_event_kind 0.000020 s: widget.mouse_event_kind.on_mouse_leave.inj 0.000051 s: widget.mouse_event_kind.on_mouse_leave.inj_arrow 0.000071 s: pos_num.sizeof 0.000034 s: pos_num.one.sizeof_spec 0.021902 s: subfield.comap_infi 0.000102 s: pnat.xgcd_type.q.equations._eqn_1 0.007045 s: set.prod_insert 0.039611 s: Module.Mon_Module_equivalence_Algebra.inverse_obj_one 0.000237 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_1 0.000225 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_2 0.005693 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_3 0.000561 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_4 0.000416 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_5 0.008600 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_6 0.003738 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_7 0.003542 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_8 0.004419 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_9 0.006316 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_10 0.005527 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_11 0.005143 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_12 0.004718 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_13 0.003455 s: function.injective.comm_monoid_with_zero._proof_1 0.002967 s: function.injective.comm_monoid_with_zero._proof_2 0.002230 s: function.injective.comm_monoid_with_zero._proof_3 0.002866 s: function.injective.comm_monoid_with_zero._proof_5 0.002075 s: function.injective.comm_monoid_with_zero._proof_6 0.000570 s: function.injective.comm_monoid_with_zero._proof_7 0.000338 s: function.injective.comm_monoid_with_zero._proof_8 0.004031 s: function.injective.comm_monoid_with_zero 0.000762 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_14 0.000540 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_15 0.007741 s: function.injective.linear_ordered_comm_monoid_with_zero._proof_16 0.030669 s: function.injective.linear_ordered_comm_monoid_with_zero 0.035401 s: function.injective.linear_ordered_comm_monoid_with_zero.equations._eqn_1 0.000185 s: ordnode.insert'._match_1 0.003239 s: ordnode.insert'._main 0.000529 s: ordnode.insert'._main.equations._eqn_1 0.002133 s: category_theory.is_split_coequalizer.sizeof 0.003429 s: category_theory.is_split_coequalizer.mk.sizeof_spec 0.000808 s: list.to_string_aux._main.equations._eqn_4 0.001276 s: normed_group_hom.coe_zero 0.000400 s: preorder_hom.coe_fun_mk 0.002042 s: complete_lattice.omega_complete_partial_order._match_2 0.000177 s: complete_lattice.omega_complete_partial_order._proof_1 0.002602 s: complete_lattice.omega_complete_partial_order._match_1 0.000654 s: complete_lattice.omega_complete_partial_order._proof_2 0.000642 s: complete_lattice.omega_complete_partial_order 0.000182 s: le_of_forall_le' 0.001363 s: Sup_le_Sup_of_forall_exists_le 0.005773 s: preorder_hom.has_Sup._proof_1 0.002684 s: preorder_hom.has_Sup 0.001103 s: preorder_hom.has_Sup_Sup_to_fun 0.008548 s: complete_lattice.Sup_continuous 0.021911 s: complete_lattice.Sup_continuous' 0.000353 s: pgame.restricted.ibelow 0.006416 s: pgame.restricted.binduction_on 0.006649 s: pgame.le_def_lt 0.004366 s: pgame.lt_def_le 0.001178 s: pgame.le_def 0.003441 s: pgame.le_of_restricted 0.003808 s: pgame.restricted_of_relabelling._main 0.000035 s: pgame.restricted_of_relabelling 0.000055 s: pgame.le_of_relabelling 0.000170 s: pgame.move_left_mk 0.000174 s: pgame.move_right_mk 0.004040 s: pgame.relabelling.symm._main 0.000051 s: pgame.relabelling.symm 0.000179 s: pgame.equiv_of_relabelling 0.000050 s: pgame.equiv.has_coe 0.000085 s: pgame.equiv.has_coe.equations._eqn_1 0.000065 s: forall_or_distrib_left 0.002113 s: submonoid.to_monoid.equations._eqn_1 0.000164 s: unique_factorization_monoid.rec_on 0.017278 s: nat.choose_le_succ_of_lt_half_left 0.005572 s: _private.1363268283.choose_le_middle_of_le_half_left 0.010015 s: nat.choose_le_middle 0.041464 s: nat.four_pow_le_two_mul_add_one_mul_central_binom 0.000309 s: turing.to_partrec.code.no_confusion_type 0.000927 s: turing.to_partrec.code.no_confusion 0.000229 s: turing.to_partrec.code.comp.inj 0.000070 s: turing.to_partrec.code.comp.inj_arrow 0.000418 s: except_t.mk_label._main 0.000056 s: except_t.mk_label 0.000194 s: except_t.call_cc 0.025055 s: pi_tensor_product.semimodule'.equations._eqn_1 0.003551 s: bernstein_polynomial.equations._eqn_1 0.001373 s: prod.mul_zero_one_class.equations._eqn_1 0.011328 s: finsupp.lift_symm_apply 0.000317 s: list.modify_head._main.equations._eqn_1 0.000099 s: list.modify_head.equations._eqn_1 0.000077 s: tactic.simp_config.max_steps 0.000419 s: prod.fst_to_sigma 0.001031 s: pSet.definable.resp._main 0.000062 s: pSet.definable.resp 0.000056 s: pSet.image._main 0.000021 s: pSet.image 0.001129 s: pSet.mem.ext 0.001450 s: pSet.mem_image 0.001281 s: Set.image._match_1 0.000775 s: Set.image._match_2 0.002041 s: Set.image._proof_1 0.000858 s: Set.image 0.001538 s: Set.image.equations._eqn_1 0.003757 s: category_theory.limits.cone.extend 0.003931 s: category_theory.limits.cone.extend_π 0.003952 s: category_theory.limits.cone.extensions_app 0.013245 s: category_theory.limits.is_limit.hom_iso._proof_1 0.011314 s: category_theory.limits.is_limit.hom_iso._proof_2 0.002299 s: category_theory.limits.is_limit.hom_iso 0.002763 s: category_theory.limits.is_limit.hom_iso'._proof_1 0.004691 s: category_theory.limits.is_limit.hom_iso'._proof_2 0.020172 s: category_theory.limits.is_limit.hom_iso'._proof_3 0.016649 s: category_theory.limits.is_limit.hom_iso'._proof_4 0.012270 s: category_theory.limits.is_limit.hom_iso' 0.001904 s: category_theory.limits.limit.hom_iso' 0.001068 s: local_equiv.pi._proof_1 0.001129 s: local_equiv.pi._proof_2 0.001006 s: local_equiv.pi._proof_3 0.000721 s: local_equiv.pi._proof_4 0.001710 s: local_equiv.pi 0.003230 s: local_homeomorph.pi._proof_3 0.002375 s: sub_mul_action.coe_smul_of_tower 0.000276 s: zsqrtd.integral_domain._proof_3 0.000498 s: set.preimage_range_inter 0.084092 s: has_deriv_at.sin 0.085901 s: deriv_sin 0.013823 s: category_theory.regular_of_is_pullback_snd_of_regular._proof_1 0.003265 s: category_theory.regular_of_is_pullback_snd_of_regular._proof_2 0.002513 s: category_theory.regular_of_is_pullback_snd_of_regular._proof_3 0.003746 s: category_theory.limits.pullback_cone.is_limit.lift'._proof_1 0.002067 s: category_theory.limits.pullback_cone.is_limit.lift' 0.027383 s: category_theory.regular_of_is_pullback_snd_of_regular._proof_4 0.015181 s: category_theory.regular_of_is_pullback_snd_of_regular 0.000340 s: category_theory.regular_of_is_pullback_fst_of_regular._proof_1 0.000297 s: category_theory.limits.pullback_cone.flip_is_limit._proof_1 0.000212 s: category_theory.limits.pullback_cone.flip_is_limit._proof_2 0.003817 s: category_theory.limits.pullback_cone.is_limit_aux'._proof_1 0.001661 s: category_theory.limits.pullback_cone.is_limit_aux'._proof_2 0.008377 s: category_theory.limits.pullback_cone.is_limit_aux'._proof_3 0.004890 s: category_theory.limits.pullback_cone.is_limit_aux' 0.001007 s: category_theory.limits.pullback_cone.flip_is_limit._proof_3 0.011998 s: category_theory.limits.pullback_cone.flip_is_limit._proof_4 0.009281 s: category_theory.limits.pullback_cone.flip_is_limit 0.000545 s: category_theory.regular_of_is_pullback_fst_of_regular._proof_2 0.004205 s: category_theory.regular_of_is_pullback_fst_of_regular 0.002398 s: cancel_monoid_with_zero.cases_on 0.001445 s: cancel_monoid_with_zero.no_confusion_type 0.064880 s: ring_hom.restrict_roots_of_unity._proof_1 0.000089 s: Set.inhabited 0.000832 s: pSet.mem_empty 0.000840 s: Set.mem_empty 0.000722 s: Set.ext 0.000252 s: Set.eq_empty 0.000489 s: Set.choice_mem_aux 0.000961 s: finset.decidable_dforall_finset.equations._eqn_1 0.000223 s: cont_t.monad_run 0.000234 s: cont_t.monad_run.equations._eqn_1 0.017875 s: subalgebra.val.equations._eqn_1 0.012624 s: infi_option 0.001976 s: set.Inter_option 0.005215 s: exists_max_ideal_of_mem_nonunits 0.001065 s: measure_theory.simple_func.piecewise.equations._eqn_1 0.000355 s: div_neg 0.328058 s: le_div_iff_of_neg 0.063088 s: set.preimage_mul_const_Ici_of_neg 0.065922 s: div_lt_iff_of_neg 0.047702 s: set.preimage_mul_const_Iio_of_neg 0.000651 s: set.Ioi_inter_Iic 0.007682 s: set.preimage_mul_const_Ico_of_neg 0.009191 s: set.preimage_const_mul_Ico_of_neg 0.004549 s: category_theory.sigma.nat_trans._match_1.equations._eqn_1 0.000102 s: option.join 0.000109 s: option.join.equations._eqn_1 0.002946 s: option.join_join 0.000248 s: pi.ordered_add_comm_group._proof_1 0.000124 s: monoid.End.inhabited 0.000093 s: string.iterator_imp.no_confusion_type 0.000288 s: string.iterator_imp.no_confusion 0.000113 s: string.iterator_imp.mk.inj 0.000089 s: string.iterator_imp.mk.inj_arrow 0.000153 s: wseq.join 0.000062 s: wseq.append 0.000168 s: wseq.join.equations._eqn_1 0.000112 s: wseq.cons.equations._eqn_1 0.000270 s: wseq.join._match_1.equations._eqn_2 0.000074 s: wseq.append.equations._eqn_1 0.002904 s: wseq.join_cons 0.000488 s: quiver.has_reverse 0.000179 s: quiver.hom.to_path 0.000127 s: quiver.has_reverse.reverse' 0.000053 s: quiver.reverse 0.002253 s: quiver.path.reverse._main 0.000063 s: quiver.path.reverse 0.000271 s: quiver.zigzag_setoid._match_1 0.000199 s: quiver.zigzag_setoid._match_2 0.000276 s: quiver.zigzag_setoid._match_3 0.000404 s: quiver.zigzag_setoid._proof_1 0.000293 s: quiver.zigzag_setoid 0.003425 s: category_theory.coyoneda.colimit_cocone._proof_1 0.003705 s: category_theory.coyoneda.colimit_cocone 0.008589 s: category_theory.coyoneda.colimit_cocone_is_colimit._proof_1 0.004486 s: category_theory.coyoneda.colimit_cocone_ι_app 0.012366 s: category_theory.coyoneda.colimit_cocone_is_colimit._proof_2 0.002471 s: category_theory.coyoneda.colimit_cocone_is_colimit 0.000304 s: category_theory.coyoneda.obj.category_theory.limits.has_colimit 0.000567 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_1 0.022304 s: ring.fractional_ideal.span_singleton.equations._eqn_1 0.000220 s: fin.le.equations._eqn_1 0.000056 s: nat.has_repr.equations._eqn_1 0.028519 s: linear_equiv.of_submodule.equations._eqn_1 0.000307 s: list.pairwise_lt_range 0.000116 s: int.lnot._main 0.016254 s: one_div_le_one_div_of_neg 0.000927 s: category_theory.induced_category.has_forget₂.equations._eqn_1 0.015018 s: same_sub_div 0.000380 s: category_theory.limits.image_subobject 0.000628 s: category_theory.limits.image_subobject_iso 0.016590 s: category_theory.limits.image_subobject_arrow' 0.018299 s: formal_multilinear_series.norm_mul_pow_le_mul_pow_of_lt_radius 0.045334 s: formal_multilinear_series.has_fpower_series_on_ball 0.007238 s: has_fpower_series_on_ball.radius_pos 0.008103 s: has_fpower_series_on_ball.sum 0.000354 s: mul_le_of_le_of_le_one' 0.000255 s: 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0.000887 s: ring_aut.to_add_aut._proof_1 0.001175 s: ring_aut.to_add_aut._proof_2 0.015191 s: ring_aut.to_add_aut 0.008067 s: ring_aut.to_add_aut.equations._eqn_1 0.000361 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation._proof_1 0.002107 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_11 0.012392 s: lie_submodule.quotient.lie_quotient_lie_ring_module._proof_1 0.005568 s: lie_submodule.quotient.action_as_endo_map._proof_1 0.121038 s: lie_submodule.quotient.lie_submodule_invariant 0.147241 s: lie_submodule.quotient.action_as_endo_map._proof_2 0.138233 s: lie_submodule.quotient.action_as_endo_map._proof_3 0.131817 s: lie_submodule.quotient.action_as_endo_map._proof_4 0.184347 s: lie_submodule.quotient.action_as_endo_map 0.140940 s: lie_submodule.quotient.lie_quotient_lie_ring_module._proof_2 0.129137 s: lie_submodule.quotient.lie_quotient_lie_ring_module._proof_3 0.125178 s: lie_submodule.quotient.lie_quotient_lie_ring_module._proof_4 0.083397 s: lie_submodule.quotient.lie_quotient_lie_ring_module 0.013340 s: smooth_map_comm_monoid._proof_4 0.001106 s: list.decidable_prefix._match_1 0.000272 s: list.append_right_injective 0.000245 s: list.append_right_inj 0.002259 s: list.prefix_append_right_inj 0.000614 s: list.prefix_cons_inj 0.000822 s: list.decidable_prefix._match_2 0.001105 s: list.decidable_prefix._main 0.000159 s: list.decidable_prefix._main._proof_1 0.000870 s: list.decidable_prefix._main.equations._eqn_1 0.002270 s: list.merge_sort._main._pack.equations._eqn_2 0.004002 s: euclidean_domain.sizeof 0.014037 s: euclidean_domain.mk.sizeof_spec 0.000133 s: algebraic_geometry.SheafedSpace.coe_carrier._proof_1 0.000370 s: relator.left_unique 0.000516 s: relator.bi_unique 0.000164 s: relator.bi_unique.to_right_unique 0.000154 s: relator.left_unique.left 0.000058 s: relator.bi_unique.to_left_unique 0.003080 s: relator.rel_eq 0.025414 s: lie_module.ker.equations._eqn_1 0.000187 s: mvqpf.const.map 0.000265 s: mvqpf.const.mvfunctor 0.003876 s: no_zero_smul_divisors.drec 0.000154 s: parser.failure.equations._eqn_1 0.002335 s: is_totally_separated 0.007320 s: is_totally_disconnected_of_is_totally_separated 0.000044 s: is_totally_separated.is_totally_disconnected 0.000129 s: rsimp.config 0.000108 s: rsimp.config.sizeof 0.000019 s: rsimp.config.has_sizeof_inst 0.001008 s: hash_map.erase_aux._main 0.000068 s: hash_map.erase_aux 0.000437 s: hash_map.erase_aux._main.equations._eqn_1 0.000211 s: hash_map.erase_aux.equations._eqn_1 0.000175 s: equiv.sizeof 0.000051 s: equiv.has_sizeof_inst 0.000426 s: fin_enum.sizeof 0.000052 s: fin_enum.has_sizeof_inst 0.000142 s: rbmap.to_value._main 0.000162 s: rbmap.to_value._main.equations._eqn_2 0.000534 s: filter.eventually_eq_principal 0.000700 s: turing.TM1.stmt.sizeof 0.000228 s: turing.TM1.stmt.has_sizeof_inst 0.001206 s: turing.TM1.stmt.move.sizeof_spec 0.000584 s: measure_theory.probability_measure.dcases_on 0.003544 s: finsupp.filter._proof_1 0.000689 s: finsupp.filter 0.000922 s: finsupp.support_filter 0.001888 s: multiset.eq_zero_of_subset_zero 0.000151 s: multiset.subset_zero 0.002018 s: finset.subset_empty 0.000208 s: finset.filter_empty 0.001607 s: finsupp.filter_zero 0.000169 s: finsupp.filter_add_hom._proof_1 0.003030 s: set.indicator_add 0.002020 s: finsupp.filter_add_hom._proof_2 0.000494 s: finsupp.filter_add_hom 0.001411 s: finsupp.filter_add 0.000269 s: finsupp.restrict_dom._proof_1 0.001744 s: set.indicator_smul 0.001607 s: finsupp.filter_smul 0.000376 s: finsupp.restrict_dom._proof_2 0.000266 s: finsupp.filter_apply_neg 0.008559 s: finsupp.restrict_dom._proof_3 0.003305 s: finsupp.restrict_dom 0.015977 s: mv_polynomial.homogeneous_component 0.000683 s: finsupp.filter_apply_pos 0.003255 s: finsupp.filter_eq_sum 0.020891 s: mv_polynomial.homogeneous_component_apply 0.000209 s: znum.pred._main 0.000237 s: znum.pred._main.equations._eqn_1 0.001227 s: omega.int.nnf._main.equations._eqn_4 0.000150 s: dlex_has_le 0.000357 s: dlex_has_le.equations._eqn_1 0.008173 s: set.monoid.equations._eqn_1 0.000387 s: lipschitz_on_with 0.000596 s: lipschitz_on_with.equations._eqn_1 0.005852 s: lipschitz_on_with_iff_dist_le_mul 0.002050 s: lipschitz_on_with_iff_norm_sub_le 0.000712 s: lipschitz_on_with.norm_sub_le 0.000508 s: fintype.decidable_eq_equiv_fintype.equations._eqn_1 0.020291 s: le_neg_add_of_add_le 0.003256 s: circle.group._proof_6 0.006582 s: linear_pmap.semilattice_inf_bot._match_2 0.002056 s: linear_pmap.cases_on 0.007175 s: linear_pmap.eq_of_le_of_domain_eq 0.008515 s: linear_pmap.map_zero 0.002573 s: linear_pmap.eq_locus._proof_1 0.008379 s: linear_pmap.map_add 0.004769 s: linear_pmap.eq_locus._match_1 0.003484 s: linear_pmap.eq_locus._match_2 0.004208 s: linear_pmap.eq_locus._proof_2 0.012886 s: linear_pmap.map_smul 0.013826 s: linear_pmap.eq_locus._match_3 0.003276 s: linear_pmap.eq_locus._proof_3 0.003927 s: linear_pmap.eq_locus 0.001862 s: linear_pmap.has_inf._proof_1 0.002061 s: linear_pmap.has_inf 0.017422 s: linear_pmap.semilattice_inf_bot._match_3 0.030762 s: linear_pmap.semilattice_inf_bot._match_4 0.025039 s: linear_pmap.semilattice_inf_bot._match_5 0.000366 s: zmod.comm_ring._sunfold 0.000210 s: add_equiv.prod_comm._proof_1 0.000123 s: add_equiv.prod_comm._proof_2 0.005669 s: add_equiv.prod_comm._match_1 0.000601 s: add_equiv.prod_comm._match_2 0.000190 s: add_equiv.prod_comm._proof_3 0.000562 s: add_equiv.prod_comm 0.000219 s: ring_quot.has_add.equations._eqn_1 0.000505 s: pfunctor.map._match_1.equations._eqn_1 0.000507 s: pos_num.lxor._main 0.000235 s: pos_num.lxor._main.equations._eqn_7 0.051243 s: polynomial.not_irreducible_C 0.012216 s: polynomial.degree_pos_of_irreducible 0.006039 s: category_theory.functor.op_unop_iso._proof_1 0.001030 s: category_theory.functor.op_unop_iso 0.006965 s: adjunction.adjoint_op_of_adjoint_unop 0.008801 s: adjunction.adjoint_of_unop_adjoint_unop 0.001108 s: contracting_with.fixed_point_unique' 0.000589 s: cardinal.mk_Prop 0.000738 s: category_theory.creates_colimits 0.000346 s: category_theory.creates_colimits.cases_on 0.001362 s: add_monoid_hom.prod_apply 0.000417 s: add_monoid_hom.coe_fst 0.000381 s: add_monoid_hom.coe_snd 0.002402 s: add_monoid_hom.prod_unique 0.000383 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.cons_1.inj 0.000197 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.cons_1.inj_arrow 0.000939 s: polynomial.nat_trailing_degree_nat_cast 0.000106 s: pSet.subset._sunfold 0.000041 s: tactic.interactive.case_tag.match_result.fuzzy_match.sizeof_spec 0.000183 s: convex_hull.equations._eqn_1 0.002134 s: nonneg_add_comm_group.add_assoc 0.001640 s: nonneg_add_comm_group.zero 0.002842 s: nonneg_add_comm_group.zero_add 0.002488 s: nonneg_add_comm_group.add_zero 0.001580 s: nonneg_add_comm_group.nsmul 0.002146 s: nonneg_add_comm_group.nsmul_zero' 0.002580 s: nonneg_add_comm_group.nsmul_succ' 0.001764 s: nonneg_add_comm_group.neg 0.001756 s: nonneg_add_comm_group.sub 0.003763 s: 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linear_nonneg_ring.npow_zero' 0.007665 s: linear_nonneg_ring.npow_succ' 0.012218 s: linear_nonneg_ring.left_distrib 0.007272 s: linear_nonneg_ring.right_distrib 0.004670 s: nonneg_add_comm_group.nonneg 0.002827 s: nonneg_add_comm_group.pos 0.013366 s: nonneg_add_comm_group.zero_nonneg 0.006228 s: nonneg_add_comm_group.to_ordered_add_comm_group._proof_1 0.017771 s: nonneg_add_comm_group.add_nonneg 0.003458 s: nonneg_add_comm_group.to_ordered_add_comm_group._proof_2 0.013163 s: nonneg_add_comm_group.pos_iff 0.005150 s: nonneg_add_comm_group.to_ordered_add_comm_group._proof_3 0.018541 s: nonneg_add_comm_group.nonneg_antisymm 0.016055 s: nonneg_add_comm_group.to_ordered_add_comm_group._proof_4 0.019985 s: nonneg_add_comm_group.to_ordered_add_comm_group._proof_5 0.009591 s: nonneg_add_comm_group.to_ordered_add_comm_group 0.010227 s: linear_nonneg_ring.pos 0.028196 s: linear_nonneg_ring.pos_iff 0.027634 s: linear_nonneg_ring.zero_nonneg 0.022337 s: linear_nonneg_ring.add_nonneg 0.039908 s: linear_nonneg_ring.nonneg_antisymm 0.001654 s: linear_nonneg_ring.to_nonneg_add_comm_group 0.000296 s: linear_nonneg_ring.to_linear_ordered_ring._proof_1 0.000188 s: linear_nonneg_ring.to_linear_ordered_ring._proof_2 0.007038 s: linear_nonneg_ring.to_linear_ordered_ring._proof_3 0.000368 s: linear_nonneg_ring.to_linear_ordered_ring._proof_4 0.002837 s: linear_nonneg_ring.to_linear_ordered_ring._proof_5 0.000073 s: linear_nonneg_ring.to_linear_order._proof_1 0.000092 s: linear_nonneg_ring.to_linear_order._proof_2 0.001561 s: linear_nonneg_ring.to_linear_order._proof_3 0.000279 s: linear_nonneg_ring.to_linear_order._proof_4 0.001150 s: nonneg_add_comm_group.nonneg_def 0.015689 s: nonneg_add_comm_group.nonneg_total_iff 0.036593 s: linear_nonneg_ring.nonneg_total 0.002339 s: linear_nonneg_ring.to_linear_order._proof_5 0.000207 s: linear_nonneg_ring.to_linear_order._proof_6 0.000191 s: linear_nonneg_ring.to_linear_order._proof_7 0.005207 s: linear_nonneg_ring.to_linear_order._proof_8 0.000416 s: linear_nonneg_ring.to_linear_order._proof_9 0.008068 s: linear_nonneg_ring.to_linear_order 0.003488 s: nonneg_ring.add_assoc 0.003619 s: nonneg_ring.nsmul_zero' 0.003109 s: nonneg_ring.neg 0.002651 s: nonneg_ring.sub 0.007475 s: nonneg_ring.sub_eq_add_neg 0.011885 s: nonneg_ring.add_left_neg 0.005341 s: nonneg_ring.add_comm 0.002813 s: nonneg_ring.mul 0.004508 s: nonneg_ring.mul_assoc 0.003932 s: nonneg_ring.one 0.003583 s: nonneg_ring.one_mul 0.003169 s: nonneg_ring.mul_one 0.002951 s: nonneg_ring.npow 0.006135 s: nonneg_ring.npow_zero' 0.004464 s: nonneg_ring.npow_succ' 0.002834 s: nonneg_ring.left_distrib 0.003975 s: nonneg_ring.right_distrib 0.001070 s: nonneg_ring.to_ring 0.004746 s: linear_nonneg_ring.exists_pair_ne 0.052675 s: linear_nonneg_ring.eq_zero_or_eq_zero_of_mul_eq_zero 0.086541 s: linear_nonneg_ring.one_pos 0.015756 s: linear_nonneg_ring.to_nonneg_ring._proof_1 0.075651 s: linear_nonneg_ring.mul_nonneg 0.001847 s: linear_nonneg_ring.to_domain 0.013160 s: 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category_theory.limits.is_limit.whisker_equivalence 0.002618 s: category_theory.limits.has_limit_equivalence_comp 0.004344 s: category_theory.limits.has_limit_of_equivalence_comp 0.002755 s: category_theory.limits.has_limits_of_shape_of_equivalence 0.000718 s: category_theory.functor.left_op_obj 0.002048 s: category_theory.discrete.opposite._proof_1 0.000300 s: category_theory.decidable_eq_of_unop 0.005501 s: category_theory.discrete.opposite._proof_2 0.002435 s: category_theory.discrete.opposite._proof_3 0.001612 s: category_theory.discrete.opposite 0.000352 s: category_theory.limits.has_coproducts_opposite 0.000478 s: preirreducible_space 0.000163 s: irreducible_space 0.002956 s: ordered_cancel_add_comm_monoid.cases_on 0.002288 s: ordered_cancel_add_comm_monoid.no_confusion_type 0.002330 s: ordered_cancel_add_comm_monoid.no_confusion 0.000124 s: tactic.delta_config 0.000044 s: tactic.delta_config.cases_on 0.000088 s: tactic.delta_config.no_confusion_type 0.000166 s: 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s: option.has_repr._match_1.equations._eqn_2 0.000183 s: mvpfunctor.mvfunctor_W 0.000179 s: mvpfunctor.W_map 0.001965 s: mvpfunctor.W_mk_eq 0.010393 s: mvpfunctor.comp_W_path_cases_on 0.004767 s: mvpfunctor.W_map_W_mk 0.002271 s: mvpfunctor.obj_append1.equations._eqn_1 0.006063 s: mvpfunctor.map_obj_append1 0.005144 s: mvqpf.Wequiv_map 0.001200 s: mvqpf.fix.map._proof_1 0.000751 s: mvqpf.fix.map 0.000164 s: mvqpf.fix.mvfunctor 0.000354 s: mvqpf.fix.mvfunctor.equations._eqn_1 0.001267 s: list.map₂_left'._main.equations._eqn_3 0.001188 s: set.bUnion_pair 0.000711 s: uniform_space.uniformity_quotient 0.000989 s: quaternion.division_ring._proof_4 0.002676 s: submodule.is_principal.mem_iff_eq_smul_generator 0.000374 s: subgroup.normal.rec_on 0.002926 s: category_theory.lax_braided_functor.rec_on 0.007235 s: is_fixed_pt_of_tendsto_iterate 0.043431 s: polynomial.is_splitting_field.polynomial.splitting_field.finite_dimensional 0.077981 s: 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category_theory.differential_object.has_zero_morphisms.equations._eqn_1 0.015284 s: zmod.ring_hom_map_cast 0.000980 s: zmod.ring_hom_right_inverse 0.004014 s: zmod.ring_hom_eq_of_ker_eq 0.074048 s: normed_space.dual.semi_normed_group 0.082825 s: normed_space.dual.semi_normed_space 0.000778 s: normed_space.dual.has_coe_to_fun 0.085105 s: normed_space.inclusion_in_double_dual'._proof_1 0.099220 s: normed_space.inclusion_in_double_dual'._proof_2 0.205211 s: normed_space.inclusion_in_double_dual'._proof_3 0.090186 s: normed_space.inclusion_in_double_dual' 0.012144 s: normed_space.dual_def 0.087966 s: normed_space.inclusion_in_double_dual._proof_1 0.109429 s: normed_space.inclusion_in_double_dual._proof_2 0.131646 s: normed_space.double_dual_bound 0.206777 s: normed_space.inclusion_in_double_dual._proof_3 0.024458 s: normed_space.inclusion_in_double_dual 0.088682 s: integral_closure.is_integral 1.001119 s: ideal.integral_closure.comap_lt_comap 0.008412 s: category_theory.monoidal_nat_iso.of_components._proof_1 0.009679 s: category_theory.monoidal_nat_iso.of_components._proof_2 0.012326 s: category_theory.monoidal_nat_iso.of_components._proof_3 0.043554 s: category_theory.monoidal_nat_iso.of_components._proof_4 0.057144 s: category_theory.monoidal_nat_iso.of_components._proof_5 0.030973 s: category_theory.monoidal_nat_iso.of_components 0.009550 s: category_theory.monoidal_nat_iso.of_components.hom_app 0.000880 s: open_add_subgroup.sizeof 0.007949 s: nonneg_add_comm_group.cases_on 0.004422 s: nonneg_add_comm_group.no_confusion_type 0.002740 s: nonneg_add_comm_group.no_confusion 0.001440 s: category_theory.subobject.factor_thru_arrow_assoc 0.000064 s: nat.decidable_pred_odd._proof_1 0.000887 s: turing.TM2to1.tr_init 0.000162 s: list.has_append.append.is_associative 0.000123 s: list.has_append.append.is_associative.equations._eqn_1 0.003525 s: add_subgroup.coe_prod 0.000507 s: quaternion.division_ring._proof_1 0.000234 s: quaternion.division_ring._proof_2 0.000335 s: quaternion.division_ring._proof_3 0.000540 s: quaternion.division_ring._proof_5 0.000844 s: quaternion.division_ring._proof_6 0.000844 s: quaternion.division_ring._proof_7 0.000384 s: quaternion.division_ring._proof_8 0.000326 s: quaternion.division_ring._proof_9 0.000341 s: quaternion.division_ring._proof_10 0.000261 s: quaternion.division_ring._proof_11 0.000394 s: quaternion.division_ring._proof_12 0.000383 s: quaternion.division_ring._proof_13 0.000480 s: quaternion.division_ring._proof_14 0.000421 s: quaternion.division_ring._proof_15 0.000391 s: quaternion.division_ring._proof_16 0.000195 s: quaternion.division_ring._proof_17 0.000190 s: quaternion.division_ring._proof_18 0.000393 s: quaternion.division_ring._proof_19 0.000407 s: quaternion.division_ring._proof_20 0.001034 s: quaternion.division_ring._proof_21 0.000308 s: quaternion.division_ring._proof_22 0.030831 s: quaternion.self_mul_conj 0.008679 s: 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category_theory.subobject.Sup._proof_1 0.001482 s: ordinal.is_equivalent._match_9.equations._eqn_1 0.000360 s: is_pi_system.equations._eqn_1 0.006281 s: set.Ioi_inter_Ioi 0.002121 s: set.Iio_inter_Iio 0.003270 s: set.Ioo_inter_Ioo 0.001247 s: inf_eq_min 0.099304 s: rat.cast_min 0.001303 s: measure_theory.measure.finite_at_filter.equations._eqn_1 0.004486 s: measure_theory.measure.mem_cofinite 0.009731 s: measure_theory.measure.compl_mem_cofinite 0.007364 s: is_compact.finite_measure_of_nhds_within 0.000429 s: is_compact.finite_measure 0.055201 s: real.measure_ext_Ioo_rat 0.001019 s: measure_theory.measure.smul_apply 0.000308 s: measurable_set_Ioo 0.051020 s: lt_div_iff_of_neg 0.038740 s: set.preimage_mul_const_Ioi_of_neg 0.003827 s: set.preimage_mul_const_Ioo_of_neg 0.010949 s: set.preimage_const_mul_Ioo_of_neg 0.278756 s: real.smul_map_volume_mul_left 0.034798 s: real.smul_map_volume_mul_right 0.001157 s: paracompact_space.cases_on 0.000258 s: computation.orelse._match_2 0.000090 s: computation.orelse._match_1 0.000109 s: computation.orelse._match_3 0.000079 s: computation.orelse 0.000133 s: computation.alternative 0.000098 s: computation.think_empty 0.000107 s: computation.orelse.equations._eqn_1 0.000620 s: computation.orelse._match_3.equations._eqn_1 0.000104 s: computation.orelse._match_1.equations._eqn_1 0.002950 s: computation.ret_orelse 0.000392 s: computation.orelse._match_1.equations._eqn_2 0.000165 s: computation.orelse._match_2.equations._eqn_2 0.003873 s: computation.orelse_think 0.001953 s: computation.orelse_empty 0.001262 s: matrix.block_diagonal'._main 0.000371 s: matrix.block_diagonal' 0.002091 s: matrix.block_diagonal'_apply 0.008362 s: matrix.block_diagonal'_add 0.008206 s: _private.420952195.lift_to_multiset.equations._eqn_1 0.000121 s: witt_vector.functor 0.000389 s: witt_vector.is_lawful_functor._match_1 0.000368 s: witt_vector.is_lawful_functor._match_1.equations._eqn_1 0.000046 s: doc_category.sizeof 0.000062 s: doc_category.hole_cmd.sizeof_spec 0.003185 s: linear_equiv.map_eq_zero_iff 0.011208 s: linear_isometry_equiv.map_eq_zero_iff 0.105360 s: has_fderiv_at_filter_snd 0.110374 s: has_fderiv_at_filter.snd 0.023517 s: affine_equiv.symm_refl 0.000267 s: rbtree.to_list._main 0.000064 s: rbtree.to_list 0.000196 s: rbmap.to_list 0.000796 s: rbmap.has_repr 0.000353 s: rbmap.has_repr.equations._eqn_1 0.046975 s: category_theory.limits.cocones.whiskering_equivalence._proof_3 0.014694 s: bundle_trivialization.restr_open._proof_2 0.000425 s: seq.mem 0.000105 s: wseq.mem 0.000133 s: wseq.has_mem 0.000591 s: wseq.cases_on 0.002244 s: wseq.destruct_nil 0.000400 s: wseq.destruct._match_1.equations._eqn_3 0.006078 s: wseq.destruct_cons 0.000104 s: wseq.mem.equations._eqn_1 0.000190 s: seq.mem.equations._eqn_1 0.001707 s: stream.eq_or_mem_of_mem_cons 0.001187 s: stream.mem_cons_of_mem 0.003230 s: wseq.mem_think 0.009958 s: wseq.eq_or_mem_iff_mem 0.000115 s: stream.nth.equations._eqn_1 0.000284 s: wseq.tail.equations._eqn_1 0.001170 s: computation.map_ret' 0.002417 s: wseq.tail_nil 0.001806 s: wseq.tail_cons 0.001269 s: wseq.mem_cons_iff 0.000669 s: computation.map_think' 0.000402 s: wseq.flatten._match_1.equations._eqn_2 0.003575 s: wseq.flatten_think 0.002183 s: wseq.tail_think 0.006305 s: wseq.mem_of_mem_tail 0.000210 s: wseq.nth_tail 0.005132 s: wseq.nth_mem 0.001010 s: subfield.one_mem 0.000882 s: parser.numeral.from_one 0.172521 s: convex_on_iff_convex_epigraph 0.037047 s: linear_map.of_is_compl_prod_equiv._proof_5 0.000818 s: equiv_functor_fintype._proof_1 0.002899 s: category_theory.groupoid.inv_comp 0.002295 s: category_theory.is_iso.of_groupoid 0.001314 s: category_theory.single_obj.groupoid._proof_1 0.001898 s: category_theory.single_obj.groupoid._proof_2 0.002086 s: category_theory.single_obj.groupoid._proof_3 0.010273 s: category_theory.single_obj.groupoid._proof_4 0.009083 s: category_theory.single_obj.groupoid._proof_5 0.008751 s: category_theory.single_obj.groupoid 0.000570 s: category_theory.single_obj.comp_as_mul 0.000344 s: category_theory.single_obj.id_as_one 0.004770 s: category_theory.single_obj.inv_as_inv 0.003722 s: ordinal.is_limit.nat_lt 0.000865 s: finsupp.support_nonempty_iff 0.000240 s: omega_complete_partial_order.chain.has_le 0.000472 s: category_theory.full_subcategory_inclusion.obj 0.001320 s: smooth_monoid_morphism.has_one._proof_1 0.004362 s: galois_coinsertion.lift_lattice._proof_1 0.004772 s: galois_coinsertion.lift_lattice._proof_2 0.003669 s: galois_coinsertion.lift_lattice._proof_3 0.002830 s: galois_coinsertion.lift_lattice._proof_4 0.002708 s: galois_coinsertion.lift_lattice._proof_5 0.002921 s: galois_coinsertion.lift_lattice._proof_7 0.000709 s: galois_coinsertion.lift_lattice._proof_9 0.000899 s: galois_coinsertion.lift_lattice._proof_10 0.007543 s: galois_coinsertion.lift_lattice 0.005073 s: galois_coinsertion.lift_bounded_lattice._proof_1 0.004407 s: galois_coinsertion.lift_bounded_lattice._proof_2 0.003789 s: galois_coinsertion.lift_bounded_lattice._proof_3 0.004005 s: galois_coinsertion.lift_bounded_lattice._proof_4 0.005856 s: galois_coinsertion.lift_bounded_lattice._proof_5 0.005747 s: galois_coinsertion.lift_bounded_lattice._proof_6 0.007679 s: galois_coinsertion.lift_bounded_lattice._proof_7 0.004387 s: galois_coinsertion.lift_bounded_lattice._proof_8 0.004601 s: galois_coinsertion.lift_bounded_lattice._proof_9 0.003315 s: galois_coinsertion.lift_bounded_lattice._proof_10 0.000328 s: galois_connection.lift_order_top._proof_1 0.001048 s: galois_connection.lift_order_top 0.000209 s: galois_coinsertion.lift_bounded_lattice._proof_11 0.002544 s: galois_coinsertion.lift_bounded_lattice._proof_12 0.000103 s: galois_coinsertion.lift_order_bot._proof_1 0.001984 s: galois_coinsertion.lift_order_bot._proof_2 0.000802 s: galois_coinsertion.lift_order_bot 0.000811 s: galois_coinsertion.lift_bounded_lattice._proof_13 0.008307 s: galois_coinsertion.lift_bounded_lattice 0.007697 s: galois_coinsertion.lift_complete_lattice._proof_3 0.002141 s: times_cont_diff_at.continuous_linear_map_comp 0.000039 s: _private.2964879073.to_list_aux 0.000443 s: _private.2964879073.to_list_aux._main.equations._eqn_2 0.000093 s: _private.2964879073.to_list_aux.equations._eqn_2 0.000173 s: has_inner.cases_on 0.000104 s: has_inner.no_confusion_type 0.000223 s: has_inner.no_confusion 0.000198 s: has_inner.mk.inj 0.000054 s: widget.mouse_event_kind.sizeof 0.000036 s: widget.mouse_event_kind.on_mouse_enter.sizeof_spec 0.002714 s: category_theory.nat_trans.mono_app_of_mono 0.000363 s: equiv.set.congr._proof_1 0.010861 s: linear_ordered_comm_group_with_zero.cases_on 0.007093 s: linear_ordered_comm_group_with_zero.no_confusion_type 0.007296 s: linear_ordered_comm_group_with_zero.no_confusion 0.021955 s: linear_ordered_comm_group_with_zero.mk.inj 0.010637 s: polynomial.eval₂_comp 0.003826 s: polynomial.aeval_comp 0.004613 s: add_con.add_monoid.equations._eqn_1 0.002544 s: power_series.coeff_X_pow 0.001232 s: power_series.coeff_X_pow_self 0.001344 s: lazy_list.map₂._main 0.000055 s: lazy_list.map₂ 0.000713 s: normed_group_hom.sizeof 0.001347 s: normed_group_hom.mk.sizeof_spec 0.000106 s: fp.float_cfg.cases_on 0.000191 s: mvqpf.cofix.corec'₁ 0.000367 s: typevec.typevec_cases_cons₂._proof_1 0.001490 s: typevec.typevec_cases_cons₂ 0.001927 s: typevec.typevec_cases_cons₂.equations._eqn_1 0.227461 s: fraction_map.lift 0.305441 s: fraction_map.lift_mk' 0.033084 s: homeomorph.shear_mul_right_symm_coe 0.000502 s: poly.ext 0.014693 s: poly.comm_ring._proof_9 0.013201 s: nat.gcd_a_zero_right 0.000811 s: homeomorph.sizeof 0.000093 s: homeomorph.has_sizeof_inst 0.001234 s: structomorph.sizeof 0.006109 s: list.lex.decidable_rel._main 0.001543 s: list.lex.decidable_rel._main._proof_2 0.001574 s: list.lex.decidable_rel._main.equations._eqn_3 0.000095 s: simple_graph.incidence_set 0.000267 s: simple_graph.incidence_set_equiv_neighbor_set._proof_1 0.000409 s: category_theory.limits.types.pullback_iso_pullback._proof_1 0.000438 s: category_theory.limits.types.pullback_obj 0.000131 s: category_theory.limits.types.pullback_cone_iso_pullback._proof_1 0.000874 s: category_theory.limits.types.pullback_cone._proof_1 0.000507 s: category_theory.limits.types.pullback_cone 0.000190 s: category_theory.limits.types.pullback_cone_iso_pullback._proof_2 0.000178 s: category_theory.limits.types.pullback_cone_iso_pullback._proof_3 0.000984 s: category_theory.limits.types.pullback_limit_cone._proof_1 0.002647 s: category_theory.limits.types.pullback_limit_cone._proof_2 0.003971 s: category_theory.limits.types.pullback_limit_cone._proof_3 0.009378 s: category_theory.limits.types.pullback_limit_cone._proof_4 0.006664 s: category_theory.limits.types.pullback_limit_cone 0.002327 s: category_theory.limits.types.pullback_cone_iso_pullback 0.002716 s: category_theory.limits.types.pullback_iso_pullback 0.000573 s: CommMon.comm_monoid.equations._eqn_1 0.000700 s: measure_theory.measure.finite_at_filter_of_finite 0.000044 s: slim_check.and_counter_example._main._proof_5 0.052926 s: nnreal.lt_sub_iff_add_lt 0.022310 s: ennreal.lt_sub_iff_add_lt 0.000021 s: name.append_suffix 0.000356 s: has_variable_names.names 0.000354 s: has_variable_names.names_nonempty 0.000590 s: has_variable_names.make_listlike_instance._proof_1 0.000115 s: has_variable_names.make_listlike_instance 0.000051 s: d_array.has_variable_names 0.000542 s: function.surjective.group_with_zero._proof_1 0.000522 s: function.surjective.group_with_zero._proof_2 0.000567 s: function.surjective.group_with_zero._proof_3 0.000648 s: function.surjective.group_with_zero._proof_4 0.000705 s: function.surjective.group_with_zero._proof_5 0.000593 s: function.surjective.group_with_zero._proof_6 0.000584 s: function.surjective.group_with_zero._proof_7 0.000498 s: function.surjective.div_inv_monoid._proof_1 0.000532 s: function.surjective.div_inv_monoid._proof_2 0.000365 s: function.surjective.div_inv_monoid._proof_3 0.000499 s: function.surjective.div_inv_monoid._proof_4 0.000477 s: function.surjective.div_inv_monoid._proof_5 0.002517 s: function.surjective.div_inv_monoid._proof_6 0.002586 s: function.surjective.div_inv_monoid 0.003552 s: function.surjective.group_with_zero._proof_8 0.020756 s: function.surjective.group_with_zero._proof_10 0.022895 s: function.surjective.group_with_zero._proof_11 0.031971 s: function.surjective.group_with_zero 0.014777 s: function.surjective.comm_group_with_zero._proof_1 0.000850 s: category_theory.limits.has_strong_epi_images.strong_factor_thru_image 0.000174 s: is_simple_lattice.boolean_algebra._proof_1 0.000188 s: is_simple_lattice.boolean_algebra._proof_2 0.000519 s: is_simple_lattice.boolean_algebra._proof_3 0.000461 s: is_simple_lattice.boolean_algebra._proof_4 0.000667 s: is_simple_lattice.boolean_algebra._proof_5 0.000514 s: is_simple_lattice.boolean_algebra._proof_6 0.000231 s: is_simple_lattice.boolean_algebra._proof_7 0.000547 s: is_simple_lattice.boolean_algebra._proof_8 0.000389 s: is_simple_lattice.boolean_algebra._proof_9 0.000284 s: is_simple_lattice.boolean_algebra._proof_10 0.000409 s: is_simple_lattice.boolean_algebra._proof_11 0.001388 s: is_simple_lattice.boolean_algebra._proof_12 0.041233 s: is_simple_lattice.boolean_algebra._proof_13 0.022752 s: is_simple_lattice.boolean_algebra._proof_14 0.000453 s: is_simple_lattice.boolean_algebra._proof_15 0.025467 s: is_simple_lattice.boolean_algebra._proof_17 0.185872 s: is_simple_lattice.boolean_algebra._proof_18 0.026915 s: is_simple_lattice.boolean_algebra 0.018402 s: is_simple_lattice.boolean_algebra.equations._eqn_1 0.000764 s: list.transpose_aux._main 0.000120 s: list.transpose_aux 0.000375 s: list.transpose._main 0.000036 s: list.transpose 0.000370 s: list.transpose._main.equations._eqn_1 0.000078 s: list.transpose.equations._eqn_1 0.188376 s: dual_pair 0.008882 s: parser.success_iff 0.000294 s: category_theory.prod_preserves_connected_limits.γ₁._proof_1 0.008815 s: category_theory.prod_preserves_connected_limits.γ₁._proof_2 0.003084 s: category_theory.prod_preserves_connected_limits.γ₁ 0.003884 s: category_theory.prod_preserves_connected_limits.γ₁_app 0.000985 s: npow_rec._main.equations._eqn_2 0.000240 s: npow_rec.equations._eqn_2 0.000126 s: convex_cone.set.has_coe 0.001157 s: convex_cone.smul_mem' 0.000711 s: convex_cone.smul_mem 0.001996 s: convex_cone.has_Inf._proof_1 0.001855 s: convex_cone.has_Inf._proof_2 0.000632 s: convex_cone.has_Inf 0.000096 s: convex_cone.has_le 0.000759 s: convex_cone.cases_on 0.001994 s: convex_cone.ext' 0.000405 s: convex_cone.complete_lattice._proof_1 0.000692 s: convex_cone.complete_lattice._proof_2 0.000734 s: convex_cone.complete_lattice._proof_3 0.000845 s: convex_cone.complete_lattice._proof_4 0.003743 s: convex_cone.mem_Inf 0.001762 s: convex_cone.complete_lattice._proof_5 0.000943 s: convex_cone.complete_lattice._proof_6 0.031496 s: convex_cone.complete_lattice._proof_7 0.010068 s: convex_cone.has_inf._proof_1 0.002530 s: convex_cone.has_inf._proof_2 0.000720 s: convex_cone.has_inf 0.000237 s: convex_cone.complete_lattice._proof_8 0.000214 s: convex_cone.complete_lattice._proof_9 0.026436 s: convex_cone.complete_lattice._proof_10 0.006354 s: convex_cone.has_top._proof_1 0.000208 s: convex_cone.has_top._proof_2 0.000269 s: convex_cone.has_top 0.000381 s: convex_cone.mem_top 0.000235 s: convex_cone.complete_lattice._proof_11 0.001579 s: convex_cone.has_bot._proof_1 0.000156 s: convex_cone.has_bot._proof_2 0.000462 s: convex_cone.has_bot 0.000208 s: convex_cone.complete_lattice._proof_12 0.003730 s: convex_cone.complete_lattice._proof_13 0.037857 s: convex_cone.complete_lattice._proof_14 0.002153 s: convex_cone.complete_lattice._proof_15 0.042062 s: convex_cone.complete_lattice._proof_16 0.043299 s: convex_cone.complete_lattice 0.000120 s: PartialOrder.equations._eqn_1 0.000376 s: subtype.ring 0.010794 s: continuous_add_submonoid 0.005758 s: continuous_add_subgroup 0.002593 s: continuous_submonoid 0.061386 s: continuous_subring 0.000645 s: continuous_ring 0.000241 s: continuous_add_comm_group._proof_1 0.023279 s: continuous_add_comm_group 0.000441 s: continuous_functions.set_of.has_coe_to_fun 0.003976 s: continuous_has_scalar'._proof_1 0.002315 s: continuous_has_scalar' 0.029028 s: continuous_module'._proof_1 0.018698 s: continuous_module'._proof_2 0.015749 s: continuous_module'._proof_3 0.013764 s: continuous_module'._proof_4 0.007374 s: continuous_module' 0.004289 s: continuous_module'.equations._eqn_1 0.000351 s: finsupp.Iic_finset 0.000364 s: finsupp.Iic_finset.equations._eqn_1 0.036753 s: finsupp.mem_Iic_finset 0.005191 s: finsupp.coe_Iic_finset 0.004140 s: int.to_nat_add 0.000643 s: ring_invo.cases_on 0.000324 s: ring_invo.no_confusion_type 0.000709 s: ring_invo.no_confusion 0.000911 s: ring_invo.mk.inj 0.000669 s: ring_invo.mk.inj_arrow 0.000124 s: has_coe.cases_on 0.000101 s: has_coe.no_confusion_type 0.000216 s: has_coe.no_confusion 0.000211 s: has_coe.mk.inj 0.000092 s: Class.has_emptyc 0.000031 s: Class.inhabited 0.066079 s: is_basis.to_dual_total_right 0.073540 s: is_basis.to_dual_apply_right 0.077158 s: is_basis.dual_basis_apply 0.008878 s: set.image_compl_subset 0.009403 s: local_equiv.piecewise.equations._eqn_1 0.001399 s: Mon_.category_theory.category.equations._eqn_1 0.000363 s: category_theory.non_preadditive_abelian.has_neg.equations._eqn_1 0.000227 s: num.gcd_aux._main 0.000124 s: num.gcd_aux._main.equations._eqn_1 0.024817 s: pnat.mod_le 0.000415 s: pnat.le_of_dvd 0.000106 s: pnat.dvd_antisymm 0.000298 s: ordinal.principal_seg_out._proof_1 0.001205 s: ordinal.principal_seg_out 0.004923 s: ordinal.principal_seg_out.equations._eqn_1 0.000269 s: Gromov_Hausdorff.aux_gluing_struct.cases_on 0.000224 s: Gromov_Hausdorff.aux_gluing_struct.no_confusion_type 0.000552 s: Gromov_Hausdorff.aux_gluing_struct.no_confusion 0.001741 s: category_theory.monoidal_category.right_unitor_naturality_assoc 0.009815 s: category_theory.is_kernel_pair.to_coequalizer._proof_1 0.020026 s: category_theory.is_kernel_pair.to_coequalizer._proof_2 0.025157 s: category_theory.is_kernel_pair.to_coequalizer 0.021314 s: category_theory.is_kernel_pair.to_coequalizer.equations._eqn_1 0.046250 s: quaternion_algebra.commute_conj_conj 0.024723 s: quaternion.commute_conj_conj 0.002927 s: AddCommGroup.category_theory.abelian._proof_1 0.000672 s: AddCommGroup.category_theory.abelian._proof_2 0.001885 s: AddCommGroup.category_theory.abelian._proof_3 0.002134 s: AddCommGroup.category_theory.abelian._proof_4 0.000574 s: category_theory.limits.has_cokernels_of_has_coequalizers 0.003738 s: AddCommGroup.colimits.colimit_cocone._proof_1 0.001133 s: AddCommGroup.colimits.colimit_cocone 0.000473 s: AddCommGroup.colimits.prequotient.below 0.002206 s: AddCommGroup.colimits.prequotient.brec_on 0.003598 s: AddCommGroup.colimits.desc_fun_lift._main 0.000293 s: AddCommGroup.colimits.desc_fun_lift 0.010727 s: AddCommGroup.colimits.relation.drec 0.050941 s: AddCommGroup.colimits.desc_fun._proof_1 0.000912 s: AddCommGroup.colimits.desc_fun 0.000848 s: AddCommGroup.colimits.desc_morphism._proof_1 0.043626 s: AddCommGroup.colimits.desc_morphism._proof_2 0.013429 s: AddCommGroup.colimits.desc_morphism 0.007123 s: AddCommGroup.colimits.colimit_cocone_is_colimit._proof_1 0.000766 s: AddCommGroup.colimits.quot_zero 0.000626 s: AddCommGroup.colimits.quot_neg 0.000772 s: AddCommGroup.colimits.quot_add 0.017260 s: AddCommGroup.colimits.colimit_cocone_is_colimit._proof_2 0.001733 s: AddCommGroup.colimits.colimit_cocone_is_colimit 0.000590 s: AddCommGroup.colimits.has_colimits_AddCommGroup 0.004831 s: AddCommGroup.category_theory.abelian._proof_5 0.004488 s: category_theory.equivalence_reflects_normal_mono._proof_1 0.007392 s: category_theory.limits.cones.functoriality_obj_π_app 0.017729 s: category_theory.limits.cones.functoriality_full._proof_1 0.033622 s: category_theory.limits.cones.functoriality_full._proof_2 0.011672 s: category_theory.limits.cones.functoriality_full 0.003623 s: category_theory.limits.fully_faithful_reflects_limits._proof_1 0.001661 s: category_theory.limits.fully_faithful_reflects_limits 0.003681 s: category_theory.equivalence_reflects_normal_mono._proof_2 0.001253 s: category_theory.limits.iso_of_ι._proof_1 0.009616 s: category_theory.equivalence_reflects_normal_mono._proof_3 0.001082 s: category_theory.equivalence_reflects_normal_mono._proof_4 0.004561 s: category_theory.equivalence_reflects_normal_mono._proof_5 0.003957 s: category_theory.equivalence_reflects_normal_mono._proof_6 0.000910 s: category_theory.limits.of_ι_congr._proof_1 0.000525 s: category_theory.limits.of_ι_congr._proof_2 0.016241 s: category_theory.limits.of_ι_congr._proof_3 0.006443 s: category_theory.limits.of_ι_congr 0.007331 s: category_theory.equivalence_reflects_normal_mono._proof_7 0.005005 s: category_theory.equivalence_reflects_normal_mono._proof_8 0.002082 s: category_theory.limits.iso_of_ι._proof_2 0.019792 s: category_theory.limits.iso_of_ι._proof_3 0.008162 s: category_theory.limits.iso_of_ι 0.048995 s: category_theory.equivalence_reflects_normal_mono 0.008254 s: Module.normal_mono._proof_1 0.018197 s: submodule.quot_equiv_of_eq_bot._proof_2 0.004547 s: submodule.quot_hom_ext 0.021306 s: submodule.quot_equiv_of_eq_bot._proof_3 0.007279 s: submodule.quot_equiv_of_eq_bot 0.005617 s: linear_map.comp_zero 0.003173 s: submodule.map_zero 0.001009 s: linear_map.range_zero 0.003174 s: linear_map.ker_eq_bot_of_cancel 0.040906 s: Module.ker_eq_bot_of_mono 0.008090 s: Module.normal_mono._proof_2 0.049802 s: Module.normal_mono._proof_3 0.028628 s: Module.normal_mono 0.000862 s: AddCommGroup.normal_mono._proof_1 0.003265 s: AddCommGroup.normal_mono 0.020468 s: AddCommGroup.category_theory.abelian 0.005663 s: ordering.compares.eq_lt 0.000674 s: ordering.compares.eq_eq 0.000176 s: ordering.swap_swap 0.000300 s: ordering.swap_eq_iff_eq_swap 0.000354 s: ordering.compares_swap 0.000121 s: ordering.compares.swap 0.000167 s: ordering.compares.eq_gt 0.000588 s: ordering.compares.inj 0.001362 s: ordering.compares_iff_of_compares_impl 0.000092 s: has_star.cases_on 0.000059 s: has_star.no_confusion_type 0.000242 s: has_star.no_confusion 0.000204 s: measure_theory.measure.has_sub 0.000550 s: measure_theory.measure.sub_def 0.000291 s: locally_constant.comm_semigroup._proof_1 0.001318 s: locally_constant.comm_semigroup._proof_2 0.000301 s: locally_constant.comm_semigroup 0.000151 s: locally_constant.comm_monoid._proof_1 0.000164 s: locally_constant.comm_monoid._proof_2 0.000120 s: locally_constant.comm_monoid._proof_3 0.000360 s: locally_constant.comm_monoid._proof_4 0.000255 s: locally_constant.comm_monoid._proof_5 0.000155 s: locally_constant.comm_monoid._proof_6 0.002116 s: locally_constant.comm_monoid 0.000167 s: locally_constant.comm_group._proof_1 0.000134 s: locally_constant.comm_group._proof_2 0.000159 s: locally_constant.comm_group._proof_3 0.000426 s: locally_constant.comm_group._proof_4 0.000292 s: locally_constant.comm_group._proof_5 0.000188 s: locally_constant.group._proof_1 0.000142 s: locally_constant.group._proof_2 0.000134 s: locally_constant.group._proof_3 0.000404 s: locally_constant.group._proof_4 0.000438 s: locally_constant.group._proof_5 0.000532 s: is_locally_constant.inv 0.000250 s: locally_constant.has_inv._proof_1 0.000344 s: locally_constant.has_inv 0.000507 s: is_locally_constant.div 0.000412 s: locally_constant.has_div._proof_1 0.000291 s: locally_constant.has_div 0.000324 s: locally_constant.div_apply 0.000492 s: locally_constant.inv_apply 0.002504 s: locally_constant.group._proof_6 0.006228 s: locally_constant.group._proof_7 0.003515 s: locally_constant.group 0.001172 s: locally_constant.comm_group._proof_6 0.000710 s: locally_constant.comm_group._proof_7 0.000168 s: locally_constant.comm_group._proof_8 0.019335 s: locally_constant.comm_group 0.020505 s: pell.n_lt_a_pow 0.010446 s: pell.xn_ge_a_pow 0.001323 s: pell.n_lt_xn 0.001084 s: pell.x_pos 0.008423 s: pell.x_increasing 0.004941 s: pell.eq_of_xn_modeq_lem1 0.000130 s: pell.xn_zero 0.000353 s: pell.yn_zero 0.012915 s: pell.d_pos 0.016429 s: pell.y_increasing 0.025112 s: pell.eq_of_xn_modeq_lem2 0.000171 s: pell.xz 0.000066 s: pell.yz 0.012755 s: pell.pell_zd_add 0.001829 s: pell.xn_add 0.000156 s: pell.xz.equations._eqn_1 0.000077 s: pell.yz.equations._eqn_1 0.000145 s: pell.is_pell._main 0.000045 s: pell.is_pell 0.000496 s: pell.is_pell._main.equations._eqn_1 0.000164 s: pell.is_pell.equations._eqn_1 0.000247 s: zsqrtd.conj_re 0.000226 s: zsqrtd.conj_im 0.021806 s: pell.is_pell_norm 0.008509 s: pell.is_pell_one 0.082201 s: zsqrtd.conj_mul 0.014457 s: pell.is_pell_mul 0.003109 s: pell.is_pell_pell_zd 0.003822 s: pell.pell_zd_sub 0.006480 s: pell.yz_sub 0.003501 s: add_eq_of_eq_sub' 0.000413 s: pell.pell_eqz 0.018466 s: pell.xn_modeq_x2n_add_lem 0.115095 s: pell.xn_modeq_x2n_sub_lem 0.060512 s: pell.eq_of_xn_modeq_lem3 0.000219 s: function.embedding.image._proof_1 0.000657 s: function.embedding.image 0.000752 s: function.embedding.image_apply 0.000200 s: function.bicompl.equations._eqn_1 0.005505 s: add_group_with_zero_nhd.cases_on 0.002181 s: add_group_with_zero_nhd.no_confusion_type 0.002711 s: add_group_with_zero_nhd.no_confusion 0.000851 s: add_group_with_zero_nhd.mk.inj 0.000848 s: add_group_with_zero_nhd.mk.inj_arrow 0.000769 s: parser.step.orelse 0.000576 s: computation.has_bind_eq_bind 0.000230 s: uniform_continuous_on 0.000425 s: uniform_continuous_on.equations._eqn_1 0.000290 s: lift_pair 0.000860 s: uniformity_comap 0.004069 s: filter.subtype_coe_map_comap_prod 0.009370 s: uniform_continuous_on_iff_restrict 0.001674 s: uniform_continuous_on.continuous_on 0.003493 s: lipschitz_on_with_iff_restrict 0.000982 s: lipschitz_on_with.uniform_continuous_on 0.000419 s: lipschitz_on_with.continuous_on 0.006067 s: category_theory.limits.equalizer_is_equalizer._proof_1 0.000451 s: is_galois.integral 0.024852 s: matrix.block_diagonal'_mul 0.006573 s: nat.rfind_dom' 0.000777 s: nat.rfind_zero_none 0.007594 s: partrec.rfind 0.004856 s: partrec.option_some_iff 0.000315 s: computable.part 0.004763 s: partrec.option_cases_right 0.002334 s: computable.cond 0.000070 s: computable.nat_bodd 0.000877 s: computable.option_bind 0.000389 s: computable.comp₂ 0.000544 s: computable.option_map 0.000061 s: computable.nat_div2 0.004070 s: computable.sum_cases 0.003841 s: partrec.sum_cases_right 0.003102 s: nat.partrec.none 0.001708 s: partrec.none 0.020488 s: _private.241475971.fix_aux 0.000226 s: computable.sum_inr 0.013850 s: partrec.fix 0.000150 s: lex_has_lt 0.000169 s: lex_preorder._proof_1 0.014488 s: lex_preorder._proof_2 0.017163 s: lex_preorder._proof_3 0.000419 s: lex_preorder 0.000700 s: lex_preorder.equations._eqn_1 0.000563 s: enorm.partial_order._proof_1 0.002200 s: enorm.partial_order._proof_2 0.001651 s: enorm.partial_order._proof_3 0.004134 s: enorm.cases_on 0.005994 s: enorm.coe_fn_injective 0.000431 s: enorm.ext 0.015261 s: enorm.partial_order._proof_4 0.001940 s: enorm.partial_order 0.002527 s: enorm.partial_order.equations._eqn_1 0.000083 s: pSet.to_set 0.000084 s: pSet.set.has_coe 0.000288 s: monoid.mfoldr 0.000907 s: monoid.mfoldr.get 0.001600 s: functor.const.applicative 0.000484 s: traversable.fold_map 0.000291 s: monoid.mfoldr.mk 0.000484 s: traversable.mfoldr 0.000913 s: traversable.mfoldr.equations._eqn_1 0.000325 s: traversable.fold_map.equations._eqn_1 0.001528 s: traversable.map_eq_traverse_id 0.000193 s: applicative.cases_on 0.000140 s: has_pure.cases_on 0.000177 s: has_seq_right.cases_on 0.004145 s: is_lawful_applicative.dcases_on 0.000182 s: functor.cases_on 0.000837 s: is_lawful_functor.map_const_eq 0.004381 s: functor.ext 0.020005 s: applicative.ext 0.000755 s: functor.comp.map._main.equations._eqn_1 0.000336 s: functor.comp.map.equations._eqn_1 0.003814 s: functor.comp.id_map 0.000689 s: functor.map_comp_map 0.001849 s: functor.comp.comp_map 0.001259 s: functor.comp.is_lawful_functor 0.000045 s: functor.comp.run 0.000110 s: functor.comp.ext 0.000523 s: functor.comp.run_seq 0.000383 s: functor.comp.run_pure 0.001274 s: applicative.pure_seq_eq_map' 0.002474 s: functor.comp.run_map 0.003602 s: functor.comp.pure_seq_eq_map 0.001758 s: functor.comp.map_pure 0.002539 s: functor.comp.seq_pure 0.008025 s: functor.comp.seq_assoc 0.003458 s: functor.comp.is_lawful_applicative 0.001788 s: functor.comp.applicative_id_comp 0.004116 s: traversable.traverse_map 0.018967 s: functor.const.is_lawful_applicative 0.003929 s: traversable.fold_map_map 0.004084 s: traversable.mfoldr_map 0.002238 s: psigma.fintype_prop_prop._match_2 0.001269 s: psigma.fintype_prop_prop._match_2.equations._eqn_1 0.000505 s: list.zip_with._main.equations._eqn_2 0.000153 s: list.zip_with.equations._eqn_2 0.000202 s: wseq.destruct_append.aux._main 0.000039 s: wseq.destruct_append.aux 0.000173 s: wseq.nil_append 0.000391 s: wseq.destruct_append.aux._main.equations._eqn_1 0.000134 s: wseq.destruct_append.aux.equations._eqn_1 0.000163 s: wseq.cons_append 0.000362 s: wseq.destruct_append.aux._main.equations._eqn_2 0.000127 s: wseq.destruct_append.aux.equations._eqn_2 0.000122 s: wseq.think_append 0.005722 s: wseq.destruct_append 0.000194 s: function.injective.linear_ordered_comm_ring._proof_17 0.001658 s: order_bot.sizeof 0.000059 s: order_bot.has_sizeof_inst 0.001136 s: has_exists_add_of_le 0.000090 s: tactic.dsimp_config.unfold_reducible._default 0.000082 s: tactic.dsimp_config.unfold_reducible._default.equations._eqn_1 0.000629 s: category_theory.limits.biproduct.map._proof_1 0.000245 s: category_theory.limits.biproduct.map._proof_2 0.000314 s: category_theory.limits.biproduct.map._proof_3 0.000156 s: category_theory.limits.biproduct.map._proof_4 0.000189 s: category_theory.limits.biproduct.map._proof_5 0.002587 s: category_theory.limits.biproduct.map 0.000237 s: category_theory.limits.biproduct.map'._proof_1 0.000189 s: category_theory.limits.biproduct.map'._proof_2 0.000149 s: category_theory.limits.biproduct.map'._proof_3 0.000176 s: category_theory.limits.biproduct.map'._proof_4 0.000176 s: category_theory.limits.biproduct.map'._proof_5 0.002419 s: category_theory.limits.biproduct.map' 0.001177 s: category_theory.limits.biproduct.bicone_ι 0.000931 s: category_theory.limits.biproduct.bicone_π 0.001846 s: category_theory.discrete.nat_trans_app 0.033278 s: category_theory.limits.biproduct.map_eq_map' 0.021230 s: category_theory.limits.biproduct.ι_map 0.019696 s: category_theory.limits.biproduct.map_eq 0.000174 s: computability.decode_bool._sunfold 0.000278 s: parser.err_static.ch 0.001091 s: list.mmap'._main.equations._eqn_2 0.000304 s: list.mmap'.equations._eqn_2 0.000230 s: parser.and_then_eq_bind 0.004891 s: parser.mmap'_eq_done 0.004990 s: star_ordered_ring 0.000268 s: star_ordered_ring.sizeof 0.002332 s: function.support_prod_subset 0.000163 s: monad_state.lift 0.000132 s: state_t.get 0.000109 s: get 0.002858 s: monotone.seq_pos_lt_seq_of_lt_of_le 0.000558 s: monotone.seq_lt_seq_of_lt_of_le 0.001077 s: monotone.seq_lt_seq_of_le_of_lt 0.030056 s: category_theory.limits.diagram_iso_cospan._proof_2 0.004676 s: semi_normed_ring.cases_on 0.000929 s: prod.ωSup_fst 0.000342 s: fin_enum.fin._proof_1 0.000104 s: irrational 0.005620 s: irrational.of_neg 0.060344 s: irrational.add_cases 0.000332 s: rat.not_irrational 0.000126 s: irrational.of_rat_add 0.002212 s: irrational.of_rat_sub 0.076343 s: irrational.rat_add 0.001254 s: irrational.neg 0.001604 s: irrational.rat_sub 0.000098 s: irrational_rat_sub_iff 0.000087 s: ordnode.insert 0.000225 s: ordnode.has_insert 0.000219 s: ordnode.of_list 0.008887 s: ordnode.foldr._main 0.000075 s: ordnode.foldr 0.000097 s: ordnode.to_list 0.000656 s: ordnode.image 0.000291 s: stream.nth_succ_iterate 0.014032 s: multilinear_map.curry_fin_finset._proof_7 0.018837 s: Lim_nhds_within 0.000579 s: denumerable.rec_on 0.002918 s: times_cont_diff_at.differentiable_at 0.002524 s: times_cont_diff_at.has_strict_fderiv_at 0.001049 s: times_cont_diff.has_strict_fderiv_at 0.003116 s: lie_module_hom.linear_map.has_coe.equations._eqn_1 0.014794 s: category_theory.coequalizer_regular._proof_1 0.008856 s: category_theory.coequalizer_regular._proof_2 0.005981 s: category_theory.coequalizer_regular 0.003228 s: category_theory.coequalizer_regular.equations._eqn_1 0.000556 s: CommRing.colimits.prequotient.sizeof 0.000093 s: CommRing.colimits.prequotient.has_sizeof_inst 0.000633 s: CommRing.colimits.prequotient.neg.sizeof_spec 0.000061 s: tactic.simp_config.iota 0.040308 s: is_basis.repr_apply_eq 0.070693 s: is_basis.range_repr_self 0.050853 s: is_basis.range_repr 0.000208 s: bool.coe_to_bool 0.006454 s: bool.to_bool_eq 0.000781 s: witt_vector.verschiebung.equations._eqn_1 0.038796 s: contract_left._proof_2 0.000134 s: _private.2316404473.make_monospaced._main 0.000105 s: char.ne_of_vne 0.000213 s: char.of_nat.equations._eqn_1 0.004735 s: char.val_of_nat_eq_of_is_valid 0.000232 s: char.of_nat_ne_of_ne 0.001358 s: nat.add_self_ne_one 0.001023 s: nat.bit1_succ_eq 0.001347 s: nat.bit1_ne_bit0 0.000083 s: is_valid_char_range_1 0.000209 s: nat.one_lt_bit0 0.029788 s: _private.2316404473.make_monospaced._main.equations._eqn_2 0.000527 s: list.mmap_upper_triangle._main 0.000075 s: list.mmap_upper_triangle 0.001044 s: list.mmap_upper_triangle._main.equations._eqn_2 0.000433 s: list.mmap_upper_triangle.equations._eqn_2 0.000313 s: filter.germ.add_left_cancel_semigroup._proof_1 0.001937 s: filter.germ.add_left_cancel_semigroup._proof_2 0.000507 s: filter.germ.add_left_cancel_semigroup 0.000720 s: category_theory.limits.types.initial_limit_cone._aux_1 0.001360 s: category_theory.limits.types.initial_limit_cone._proof_1 0.000612 s: qpf.abs_repr 0.000816 s: qpf.abs_map 0.002779 s: qpf.comp_map 0.002768 s: qpf.cofix.dest._proof_1 0.000341 s: qpf.cofix.dest 0.001259 s: pfunctor.comp_map 0.003394 s: _private.544506205.cofix.bisim_aux 0.002751 s: measure_theory.measure.restrict_map 0.004411 s: measure_theory.simple_func.approx_on_comp 0.001484 s: measure_theory.simple_func.range_comp_subset_range 0.002915 s: measure_theory.integrable_map_measure 0.083543 s: measure_theory.integral_map_of_measurable 0.013795 s: measure_theory.integral_map 0.006132 s: measure_theory.measure.map_of_not_measurable 0.002725 s: measure_theory.ae_map_mem_range 0.049213 s: measure_theory.mem_ae_of_mem_ae_map 0.011794 s: measure_theory.ae_of_ae_map 0.017582 s: ae_measurable_comp_right_iff_of_closed_embedding 0.004694 s: measure_theory.integral_map_of_closed_embedding 0.004061 s: measure_theory.set_integral_map_of_closed_embedding 0.002273 s: set.preimage_add_const_Ioi 0.001744 s: set.preimage_add_const_Ioc 0.001943 s: set.preimage_const_add_Ioi 0.001895 s: set.preimage_const_add_Iio 0.006786 s: set.preimage_const_add_Ioo 0.130435 s: real.map_volume_add_left 0.018689 s: real.map_volume_add_right 0.001056 s: closed_embedding_of_embedding_closed 0.000522 s: homeomorph.is_closed_map 0.000322 s: homeomorph.closed_embedding 0.172648 s: interval_integral.integral_comp_add_right 0.001926 s: measure_theory.measure.restrict_smul 0.021181 s: measure_theory.integral_eq_zero_of_ae 0.003659 s: measure_theory.ae_smul_measure 0.001131 s: ae_measurable.smul_measure 0.055017 s: measure_theory.simple_func.lintegral_smul 0.014268 s: measure_theory.lintegral_smul_measure 0.001280 s: measure_theory.has_finite_integral.smul_measure 0.000840 s: measure_theory.integrable.smul_measure 0.189292 s: _private.1415118461.integral_smul_measure_aux 0.072168 s: ennreal.inv_lt_top 0.008696 s: measure_theory.ae_smul_measure_iff 0.001288 s: ae_measurable_smul_measure_iff 0.134407 s: measure_theory.integral_smul_measure 0.100313 s: interval_integral.integral_smul_measure 0.000383 s: homeomorph.mul_right'._proof_1 0.000229 s: homeomorph.mul_right'._proof_2 0.000218 s: continuous_mul_right 0.000166 s: homeomorph.mul_right'._proof_3 0.000209 s: homeomorph.mul_right'._proof_4 0.000731 s: homeomorph.mul_right' 0.037741 s: set.preimage_mul_const_Iic_of_neg 0.002775 s: set.preimage_mul_const_Ioc_of_neg 0.004141 s: measure_theory.restrict_mono_ae 0.000399 s: measure_theory.restrict_congr_set 0.001274 s: measure_theory.Ioo_ae_eq_Ico 0.001226 s: measure_theory.Ioo_ae_eq_Ioc 0.000451 s: measure_theory.Ico_ae_eq_Ioc 0.031718 s: set.preimage_mul_const_Ioi 0.002933 s: set.preimage_mul_const_Ioc 0.277068 s: interval_integral.integral_comp_mul_right 0.026177 s: interval_integral.integral_comp_mul_left 0.001487 s: interval_integral.integral_comp_mul_add 0.002794 s: interval_integral.integral_comp_add_mul 0.046098 s: interval_integral.integral_comp_add_div 0.183998 s: interval_integral.inv_smul_integral_comp_add_div 0.018086 s: topological_fiber_bundle_core.cases_on 0.002865 s: topological_fiber_bundle_core.no_confusion_type 0.001341 s: topological_fiber_bundle_core.no_confusion 0.001903 s: topological_fiber_bundle_core.mk.inj 0.002221 s: topological_fiber_bundle_core.mk.inj_arrow 0.001242 s: category_theory.pre 0.028507 s: category_theory.transfer_nat_trans_self_counit 0.013115 s: category_theory.prod_map_pre_app_comp_ev 0.007191 s: category_theory.uncurry_pre 0.000876 s: regular_expression.deriv._main.equations._eqn_1 0.116221 s: is_local_min.deriv_eq_zero 0.017442 s: cau_seq.has_add._match_3.equations._eqn_1 0.005282 s: polynomial.nat_degree_mul_C_le 0.004295 s: polynomial.nat_degree_mul_C_eq_of_mul_eq_one 0.001459 s: set.pairwise_on_insert_of_symmetric 0.003434 s: category_theory.limits.biproduct.π_epi._proof_1 0.001614 s: category_theory.limits.biproduct.π_epi 0.001528 s: category_theory.limits.biproduct.π_epi.equations._eqn_1 0.000201 s: prod.is_trans_preimage_snd 0.000296 s: prod.is_trans_preimage_snd.equations._eqn_1 0.000087 s: real.comm_monoid.equations._eqn_1 0.000073 s: io.mode.append.sizeof_spec 0.000075 s: int.add_comm_monoid.equations._eqn_1 0.006149 s: linear_ordered_comm_group.cases_on 0.004025 s: linear_ordered_comm_group.no_confusion_type 0.005723 s: linear_ordered_comm_group.no_confusion 0.001463 s: associates.has_inf.equations._eqn_1 0.002326 s: uniform_space.separation_setoid.uniform_space.equations._eqn_1 0.002831 s: category_theory.differential_object.iso_app._proof_1 0.002081 s: category_theory.differential_object.iso_app._proof_2 0.001166 s: category_theory.differential_object.iso_app 0.001584 s: category_theory.differential_object.iso_app_hom 0.001272 s: category_theory.is_skeleton_of 0.000351 s: Fintype.category_theory.category 0.000031 s: Fintype.skeleton 0.000687 s: Fintype.skeleton.category_theory.category._proof_1 0.000319 s: Fintype.skeleton.category_theory.category._proof_2 0.000367 s: Fintype.skeleton.category_theory.category._proof_3 0.001324 s: Fintype.skeleton.category_theory.category 0.000056 s: Fintype.of 0.001069 s: Fintype.skeleton.incl._proof_1 0.000696 s: Fintype.skeleton.incl._proof_2 0.001275 s: Fintype.skeleton.incl 0.002641 s: Fintype.skeleton.is_skeletal 0.001315 s: Fintype.skeleton.incl.category_theory.full._proof_1 0.001400 s: Fintype.skeleton.incl.category_theory.full 0.001217 s: Fintype.skeleton.incl.category_theory.faithful 0.002161 s: Fintype.skeleton.incl.category_theory.ess_surj 0.000356 s: Fintype.skeleton.incl.category_theory.is_equivalence 0.000199 s: Fintype.is_skeleton 0.000083 s: Fintype.is_skeleton.equations._eqn_1 0.001232 s: add_monoid_hom.snd.equations._eqn_1 0.000095 s: affine.simplex.points_with_circumcenter_index.sizeof 0.000027 s: affine.simplex.points_with_circumcenter_index.has_sizeof_inst 0.029003 s: set.preimage_const_mul_Ici 0.002725 s: set.preimage_const_mul_Ico 0.003797 s: submodule.mem_right_iff_eq_zero_of_disjoint 0.006423 s: submodule.prod_equiv_of_is_compl_symm_apply_fst_eq_zero 0.006314 s: submodule.linear_proj_of_is_compl_apply_eq_zero_iff 0.002323 s: submodule.linear_proj_of_is_compl_apply_right' 0.000956 s: opposite.coe_op_add_equiv_symm 0.140900 s: has_strict_deriv_at_fpow 0.015956 s: has_deriv_at_fpow 0.002964 s: differentiable_at_fpow 0.002531 s: differentiable_within_at_fpow 0.002069 s: differentiable_on_fpow 0.003704 s: category_theory.limits.binary_cofan.mk.equations._eqn_1 0.002317 s: measure_theory.mem_ℒp.neg 0.002418 s: measure_theory.mem_ℒp.sub 0.000114 s: nat.digits_aux_0._main 0.000020 s: nat.digits_aux_0 0.000044 s: nat.digits_aux_1 0.001070 s: nat.digits_aux._main._pack 0.000097 s: nat.digits_aux._main 0.000055 s: nat.digits_aux 0.030749 s: nat.digits._main 0.000021 s: nat.digits 0.000976 s: nat.digits_zero_succ' 0.000381 s: of_add_zero 0.001852 s: order_of_one 0.005850 s: add_order_of_zero 0.000132 s: padic.inhabited 0.000164 s: padic.inhabited.equations._eqn_1 0.001415 s: nat.add_mod_eq_add_mod_right 0.000183 s: euclidean_domain.lcm 0.000263 s: euclidean_domain.lcm.equations._eqn_1 0.087138 s: euclidean_domain.lcm_dvd 0.010204 s: is_unit.is_closed_map_smul 0.000464 s: is_closed_map_smul' 0.001085 s: add_submonoid.to_nat_submodule._proof_3 0.000524 s: is_least_Ico 0.000369 s: ring_equiv.to_add_monoid_hom 0.000080 s: surreal.lift._proof_1 0.000205 s: surreal.lift._proof_2 0.000602 s: surreal.lift 0.000319 s: surreal.lift₂._proof_1 0.005233 s: surreal.lift₂._match_1 0.002581 s: surreal.lift₂._proof_2 0.000657 s: surreal.lift₂ 0.000204 s: pgame.le_congr 0.000173 s: pgame.lt_congr 0.000127 s: surreal.lt._proof_1 0.000156 s: surreal.lt 0.000081 s: surreal.lt.equations._eqn_1 0.005269 s: category_theory.limits.is_colimit.fac' 0.010004 s: category_theory.monad.forget_creates_colimits.lifted_cocone_ι_app_f 0.064155 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit._proof_3 0.014377 s: int.linear_ordered_comm_ring.equations._eqn_1 0.000717 s: continuous.C._proof_1 0.006786 s: continuous.C._proof_2 0.008121 s: continuous.C._proof_3 0.008304 s: continuous.C._proof_4 0.008458 s: continuous.C._proof_5 0.002848 s: continuous.C 0.000507 s: CommSemiRing.forget_preserves_limits._proof_1 0.032120 s: CommSemiRing.forget_preserves_limits 0.003730 s: Module.sections_submodule._proof_2 0.000718 s: smul_with_zero.cases_on 0.000742 s: list.ilast._main 0.001074 s: list.ilast._main.equations._eqn_4 0.004555 s: category_theory.equivalence.pow._main._pack.equations._eqn_5 0.000096 s: free_abelian_group.inhabited 0.000115 s: free_comm_ring.inhabited 0.000246 s: int.div_eq_of_eq_mul_right 0.000148 s: int.eq_div_of_mul_eq_right 0.000036 s: is_right_regular 0.000400 s: is_regular 0.000579 s: is_left_regular.of_mul 0.000110 s: is_regular.left 0.000744 s: is_right_regular.of_mul 0.000055 s: is_regular.right 0.000365 s: is_left_regular.mul 0.000150 s: mul_is_left_regular_iff 0.000360 s: is_right_regular.mul 0.000140 s: mul_is_right_regular_iff 0.000488 s: is_regular_mul_and_mul_iff 0.000105 s: is_regular.and_of_mul_of_mul 0.000724 s: euclidean_domain.gcd_eq_left 0.004158 s: euclidean_domain.gcd_one_left 0.003864 s: metric.inf_dist_singleton 0.000653 s: set.Iic_diff_Iio_same 0.000159 s: Class.has_sep 0.002507 s: Class.sep_hom 0.000761 s: order.is_ideal 0.000100 s: order.is_pfilter 0.000764 s: order.ideal.is_prime 0.000930 s: pfun_fintype._proof_3 0.005421 s: adjoin_root.lift_comp_of 0.327990 s: polynomial.splitting_field_aux.exists_lift 0.080338 s: polynomial.splitting_field.lift._proof_6 0.000088 s: localization.away 0.000170 s: mul_equiv.to_ring_equiv._proof_1 0.000132 s: mul_equiv.to_ring_equiv._proof_2 0.000673 s: add_equiv.mk' 0.012154 s: mul_equiv.to_ring_equiv._proof_3 0.003169 s: mul_equiv.to_ring_equiv 0.007620 s: localization.ring_equiv_of_quotient._proof_1 0.052360 s: localization.ring_equiv_of_quotient 0.018272 s: localization.away.ring_equiv_of_quotient 0.008525 s: localization.away.ring_equiv_of_quotient.equations._eqn_1 0.000917 s: one_one_reducible_refl 0.000171 s: one_one_equiv_refl 0.001657 s: mul_gsmul_assoc 0.000030 s: nat.test_bit 0.000051 s: int.test_bit._main 0.000013 s: int.test_bit 0.000499 s: int.test_bit._main.equations._eqn_1 0.000077 s: int.test_bit.equations._eqn_1 0.000276 s: linear_recurrence 0.000088 s: linear_recurrence.order 0.000139 s: linear_recurrence.coeffs 0.000212 s: linear_recurrence.is_solution 0.004437 s: linear_recurrence.sol_space._proof_1 0.004243 s: linear_recurrence.sol_space._proof_2 0.007209 s: linear_recurrence.sol_space._proof_3 0.001291 s: linear_recurrence.sol_space 0.007313 s: linear_recurrence.to_init._proof_1 0.000146 s: ADE_inequality.E' 0.000023 s: ADE_inequality.E8 0.046693 s: linear_map.to_matrix_alg_equiv_transpose_apply 0.042946 s: linear_map.to_matrix_alg_equiv_transpose_apply' 0.000240 s: occurrences_repr._main.equations._eqn_1 0.000041 s: occurrences_repr.equations._eqn_1 0.011758 s: category_theory.nat_trans.remove_op.equations._eqn_1 0.000428 s: bilin_form.comp_right 0.015321 s: bilin_form.comp_left_comp_right 0.000162 s: CpltSepUniformSpace.cases_on 0.000094 s: CpltSepUniformSpace.no_confusion_type 0.000266 s: CpltSepUniformSpace.no_confusion 0.000216 s: CpltSepUniformSpace.mk.inj 0.002298 s: CpltSepUniformSpace.mk.inj_eq 0.002897 s: linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left._default 0.003535 s: linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left._default.equations._eqn_1 0.006895 s: finset.prod_le_prod'' 0.012917 s: finset.prod_lt_prod' 0.000666 s: pi.le_def 0.005815 s: pi.lt_def 0.003150 s: fintype.prod_strict_mono' 0.000154 s: io.process.spawn_args.stderr 0.000023 s: pnat.xgcd_type.a 0.000664 s: sigma.curry 0.001432 s: pi.monotone_curry._proof_1 0.002900 s: pi.monotone_curry 0.003497 s: omega_complete_partial_order.continuous_comp 0.153859 s: pi.continuous_curry 0.145746 s: pi.uncurry_curry_continuous 0.001530 s: quiver.shortest_path_spec 0.000141 s: is_order_right_adjoint 0.000327 s: is_order_right_adjoint.unique 0.000230 s: parser.static.and_then 0.004313 s: parser.static.mmap'._main 0.000130 s: parser.static.mmap' 0.000123 s: tactic.apply_cfg.approx 0.000260 s: equiv.perm.is_three_cycle.equations._eqn_1 0.002141 s: equiv.perm.is_cycle.inv 0.003796 s: equiv.perm.cycle_type_inv 0.000604 s: equiv.perm.is_three_cycle.inv 0.001229 s: ordinal.zero_mul 0.000199 s: ordinal.mul_ne_zero 0.006430 s: ordinal.power_add 0.000079 s: ordinal.power_ne_zero 0.002792 s: ordinal.power_mul 0.005550 s: category_theory.braided_functor 0.002133 s: category_theory.braided_functor.to_monoidal_functor 0.003521 s: category_theory.braided_functor.braided 0.000233 s: zsqrtd.decidable_nonnegg._proof_1 0.000098 s: zsqrtd.decidable_nonnegg._proof_2 0.000396 s: zsqrtd.nonnegg._main.equations._eqn_1 0.000067 s: zsqrtd.nonnegg.equations._eqn_1 0.000091 s: zsqrtd.decidable_nonnegg._proof_3 0.000088 s: zsqrtd.decidable_nonnegg._proof_4 0.000285 s: zsqrtd.nonnegg._main.equations._eqn_2 0.000088 s: zsqrtd.nonnegg.equations._eqn_2 0.000272 s: zsqrtd.decidable_nonnegg._proof_5 0.000122 s: zsqrtd.decidable_nonnegg._proof_6 0.000178 s: zsqrtd.nonnegg._main.equations._eqn_3 0.000155 s: zsqrtd.nonnegg.equations._eqn_3 0.000259 s: zsqrtd.decidable_nonnegg._proof_7 0.000076 s: zsqrtd.nonnegg._main.equations._eqn_4 0.000059 s: zsqrtd.nonnegg.equations._eqn_4 0.000086 s: zsqrtd.decidable_nonnegg._proof_8 0.000824 s: zsqrtd.decidable_nonnegg 0.000296 s: zsqrtd.decidable_nonneg._main 0.000045 s: zsqrtd.decidable_nonneg 0.000115 s: uniform_space.separation_quotient.uniform_space 0.000184 s: uniform_space.separation_quotient.lift._proof_1 0.000069 s: uniform_space.separation_quotient.lift._proof_2 0.000338 s: uniform_space.separation_quotient.lift 0.000470 s: uniform_space.separation_quotient.lift.equations._eqn_1 0.004852 s: uniform_space.uniform_continuous_quotient 0.002581 s: uniform_space.uniform_continuous_quotient_lift 0.002336 s: uniform_space.separation_quotient.uniform_continuous_lift 0.000694 s: uniform_space.separation_quotient.lift_mk 0.000465 s: uniform_space.uniform_continuous_quotient_mk 0.002396 s: uniform_space.completion.completion_separation_quotient_equiv._proof_1 0.001797 s: uniform_space.completion.completion_separation_quotient_equiv._proof_2 0.000288 s: uniform_space.completion.completion_separation_quotient_equiv 0.000777 s: uniform_space.completion.uniform_continuous_completion_separation_quotient_equiv 0.000274 s: to_additive.value_type 0.000039 s: to_additive.value_type.tgt 0.000059 s: path_component 0.000171 s: path_component.equations._eqn_1 0.002848 s: homeomorph.curry._proof_1 0.000509 s: list.zip_with_nil_left 0.000734 s: list.zip_with_cons_cons 0.002436 s: list.zip_with_map 0.001004 s: list.zip_with_map_right 0.001214 s: Module.sections_submodule._proof_1 0.020592 s: Module.sections_submodule._proof_3 0.159780 s: Module.sections_submodule 0.081479 s: Module.limit_add_comm_group 0.094686 s: Module.limit_module 0.001246 s: Module.add_comm_group_obj 0.001342 s: Module.module_obj 0.010658 s: Module.limit_π_linear_map._proof_1 0.007093 s: Module.limit_π_linear_map._proof_2 0.025450 s: Module.limit_π_linear_map 0.022347 s: Module.has_limits.limit_cone._proof_1 0.005505 s: Module.has_limits.limit_cone 0.000275 s: Module.has_limits.limit_cone_is_limit._proof_1 0.003197 s: Module.has_limits.limit_cone_is_limit._proof_2 0.064171 s: Module.has_limits.limit_cone_is_limit._proof_3 0.083571 s: Module.has_limits.limit_cone_is_limit._proof_4 0.239907 s: Module.has_limits.limit_cone_is_limit._proof_5 0.075051 s: Module.has_limits.limit_cone_is_limit 0.000850 s: Module.has_limits 0.000686 s: Module.has_limits.equations._eqn_1 0.000770 s: list.map_accumr₂._main.equations._eqn_2 0.000268 s: list.map_accumr₂.equations._eqn_2 0.004266 s: ordnode.take_aux._main 0.000062 s: ordnode.take_aux 0.000499 s: ordnode.take_aux._main.equations._eqn_1 0.000174 s: ordnode.take_aux.equations._eqn_1 0.009100 s: category_theory.costructured_arrow.hom_mk_left 0.002834 s: linear_map.map_coe_ker 0.000273 s: except.to_bool._main 0.000431 s: except.to_bool._main.equations._eqn_2 0.140433 s: measure_theory.L1.integral_clm'.equations._eqn_1 0.017938 s: uniform_continuous_of_tendsto_zero 0.001477 s: uniform_continuous_of_continuous 0.002112 s: monoid_hom.flip._proof_1 0.000531 s: seq1.join._sunfold 0.004305 s: list.nodup.coe_nth_le_equiv_symm_apply 0.000352 s: category_theory.limits.walking_pair.equiv_bool._proof_1 0.000317 s: category_theory.limits.walking_pair.equiv_bool 0.000358 s: category_theory.limits.walking_pair.equiv_bool_symm_apply_tt 0.000106 s: list.has_singleton 0.000372 s: list.singleton_eq 0.000209 s: encodable.plift 0.026830 s: convex_Ioi 0.000216 s: interior_Ioi 0.003743 s: differentiable_on.congr 0.000519 s: differentiable_on_congr 0.002465 s: deriv_fpow 0.032347 s: has_fderiv_within_at.const_mul 0.024451 s: differentiable_within_at.const_mul 0.002091 s: differentiable_on.const_mul 0.003633 s: filter.eventually_eq.fderiv_eq 0.002357 s: filter.eventually_eq.deriv_eq 0.019144 s: iter_deriv_fpow 0.309094 s: finset.prod_nonneg_of_card_nonpos_even 0.106124 s: int_prod_range_nonneg 0.002284 s: nat.even_bit0 0.519864 s: convex_on_fpow 0.001635 s: equiv.trans_to_embedding 0.002814 s: module.finite.dcases_on 0.000171 s: category_theory.essentially_small.cases_on 0.007676 s: zsqrtd.coe_int_mul 0.000310 s: continuous_map_group._proof_1 0.000194 s: continuous_map_group._proof_2 0.000192 s: continuous_map_group._proof_3 0.000642 s: continuous_map_group._proof_4 0.000337 s: continuous_map_group._proof_5 0.000400 s: continuous_map_group._proof_6 0.000194 s: continuous_map_group._proof_7 0.000167 s: continuous_map_group._proof_8 0.000161 s: continuous_map_group._proof_9 0.000396 s: continuous_map_group._proof_10 0.000333 s: continuous_map_group._proof_11 0.001077 s: continuous_map_group._proof_12 0.005573 s: continuous_map_group._proof_13 0.005907 s: continuous_map_group 0.000307 s: continuous_map_comm_group._proof_2 0.000933 s: category_theory.limits.has_zero_object_punit._aux_1 0.003068 s: preorder_hom.prod.map._match_1 0.001411 s: preorder_hom.prod.map._match_2 0.001333 s: preorder_hom.prod.map._match_3 0.000804 s: preorder_hom.prod.map._proof_1 0.001045 s: preorder_hom.prod.map 0.000473 s: preorder_hom.prod.diag._proof_1 0.000570 s: preorder_hom.prod.diag 0.000715 s: preorder_hom.prod.zip 0.000491 s: omega_complete_partial_order.chain.zip 0.002906 s: omega_complete_partial_order.chain.zip_to_fun 0.004646 s: canonically_linear_ordered_monoid.decidable_eq 0.001043 s: has_deriv_within_at.pow 0.001382 s: deriv_within_pow' 0.011483 s: lt_one_div 0.145840 s: one_lt_one_div 0.021316 s: fin_equiv_multiples 0.001754 s: multiples_equiv_multiples 0.000510 s: powers_equiv_powers 0.000695 s: powers_equiv_powers.equations._eqn_1 0.005802 s: powers_equiv_powers_apply 0.019902 s: multiples_equiv_multiples_apply 0.007834 s: Module.as_hom_left.equations._eqn_1 0.000243 s: ring_hom.to_rat_alg_hom._proof_2 0.001069 s: list.inter_subset_left 0.003674 s: times_cont_diff_at_inner 0.004586 s: times_cont_diff_within_at.inner 0.003345 s: times_cont_diff_on.inner 0.000508 s: quotient.lift_on₂'.equations._eqn_1 0.000104 s: Class.has_insert 0.003572 s: Top.prelocal_predicate.rec_on 0.000045 s: simp.default_max_steps 0.000022 s: tactic.dsimp_config.max_steps._default 0.000048 s: tactic.dsimp_config.max_steps._default.equations._eqn_1 0.000143 s: is_subgroup.center 0.000346 s: is_subgroup.mem_center 0.000255 s: filter.germ.comm_semiring._proof_15 0.002904 s: monoid_with_zero_hom.coe_inj 0.000386 s: monoid_with_zero_hom.ext 0.000422 s: monoid_with_zero_hom.ext_iff 0.000311 s: dense_embedding.dcases_on 0.000321 s: direct_sum.ghas_one.cases_on 0.000178 s: direct_sum.ghas_one.no_confusion_type 0.000549 s: direct_sum.ghas_one.no_confusion 0.000370 s: direct_sum.ghas_one.mk.inj 0.008821 s: times_cont_diff_within_at.sum 0.001295 s: times_cont_diff_on.sum 0.001473 s: times_cont_diff.sum 0.002929 s: mul_equiv.trans.equations._eqn_1 0.001824 s: ordinal.power_one 0.003237 s: ordinal.le_of_dvd 0.003706 s: onote.repr_inj 0.001411 s: ordinal.sub_self 0.001042 s: ordinal.div_def 0.000504 s: ordinal.lt_mul_succ_div 0.002389 s: ordinal.div_le 0.001143 s: ordinal.lt_div 0.001613 s: ordinal.le_div 0.000286 s: ordinal.lt_mul_div_add 0.001169 s: ordinal.mul_div_le 0.001081 s: ordinal.mul_add_div 0.001718 s: ordinal.mul_sub 0.002802 s: ordinal.dvd_add_iff 0.000357 s: ordinal.power_dvd_power 0.005316 s: onote.NF.of_dvd_omega_power 0.000429 s: onote.NF.of_dvd_omega 0.000184 s: fin.mul._sunfold 0.006243 s: smooth_monoid_morphism 0.003204 s: smooth_monoid_morphism.to_monoid_hom 0.002572 s: smooth_monoid_morphism.has_coe_to_fun 0.002606 s: filter.frequently_at_bot 0.004258 s: pgame.subsingleton_short._main._pack 0.006019 s: valuation.supp.equations._eqn_1 0.000302 s: nat.sub._main.equations._eqn_1 0.000047 s: nat.sub.equations._eqn_1 0.005032 s: adjunction.op_adjoint_op_of_adjoint.equations._eqn_1 0.001878 s: category_theory.limits.zero_of_source_iso_zero 0.000743 s: category_theory.limits.epi_of_target_iso_zero 0.003316 s: category_theory.limits.kernel.zero_cone._proof_1 0.001592 s: category_theory.limits.kernel.zero_cone 0.003312 s: category_theory.limits.kernel.is_limit_cone_zero_cone._proof_1 0.000190 s: category_theory.limits.zero_of_to_zero 0.003162 s: category_theory.limits.kernel.is_limit_cone_zero_cone._proof_2 0.001735 s: category_theory.limits.kernel.is_limit_cone_zero_cone 0.002140 s: category_theory.limits.kernel.of_mono 0.003594 s: category_theory.image_to_kernel_map_epi_of_zero_of_mono 0.001471 s: category_theory.exact_of_zero 0.001648 s: category_theory.limits.biprod.snd_epi._proof_1 0.000801 s: category_theory.limits.cocone.of_cofork._proof_1 0.020155 s: category_theory.limits.cocone.of_cofork._proof_2 0.005947 s: category_theory.limits.cocone.of_cofork 0.004532 s: category_theory.limits.cocone.of_cofork.equations._eqn_1 0.000237 s: dmatrix.col._main 0.000113 s: dmatrix.col 0.000272 s: dmatrix.col._main.equations._eqn_1 0.000123 s: dmatrix.col.equations._eqn_1 0.001785 s: category_theory.equivalence.pow._main._pack.equations._eqn_1 0.000525 s: mv_power_series.trunc_fun 0.000557 s: mv_power_series.trunc_fun.equations._eqn_1 0.004903 s: mv_power_series.coeff_trunc_fun 0.005303 s: mv_power_series.trunc._proof_1 0.000922 s: ite_add 0.026835 s: mv_power_series.trunc._proof_2 0.000927 s: mv_power_series.trunc 0.003827 s: mv_power_series.trunc.equations._eqn_1 0.005159 s: mv_power_series.coeff_trunc 0.000078 s: ne.elim 0.028998 s: mv_power_series.trunc_one 0.007329 s: circle_equiv_apply 0.000531 s: pSet.image._main.equations._eqn_1 0.000169 s: pSet.image.equations._eqn_1 0.000353 s: hahn_series.summable_family.has_coe_to_fun.equations._eqn_1 0.074690 s: category_theory.adjunction.to_comonad._proof_1 0.078397 s: category_theory.adjunction.to_comonad._proof_2 0.074877 s: category_theory.adjunction.to_comonad._proof_3 0.035432 s: category_theory.adjunction.to_comonad 0.003602 s: category_theory.adjunction.to_comonad_coe 0.004538 s: measure_theory.measure_preserving 0.001082 s: measure_theory.measure_preserving.map_eq 0.000588 s: measure_theory.measure_preserving.measurable 0.001660 s: measure_theory.measure_preserving.measure_preimage 0.000112 s: Magma.of 0.000097 s: Magma.of.equations._eqn_1 0.057193 s: complex.times_cont_diff_sinh 0.040942 s: times_cont_diff_at.csinh 0.000549 s: onote.mul_zero 0.005478 s: relation.refl_trans_gen.cases_tail_iff 0.011603 s: fin.mul_zero 0.000074 s: is_lie_abelian 0.005154 s: lie_algebra.is_simple 0.002254 s: lie_algebra.is_simple.dcases_on 0.000651 s: measure_theory.simple_func.add_monoid._proof_1 0.000927 s: measure_theory.simple_func.add_monoid._proof_2 0.002015 s: measure_theory.simple_func.add_monoid 0.001376 s: measure_theory.simple_func.add_monoid.equations._eqn_1 0.000241 s: seq.corec.F._main.equations._eqn_1 0.000176 s: omega.int.preterm.no_confusion_type 0.000313 s: omega.int.preterm.no_confusion 0.000156 s: omega.int.preterm.var.inj 0.000256 s: omega.int.preterm.var.inj_eq 0.001393 s: continuous_has_scalar._proof_1 0.001729 s: continuous_has_scalar 0.022980 s: continuous_semimodule._proof_1 0.012271 s: continuous_semimodule._proof_2 0.007104 s: continuous_semimodule._proof_3 0.006379 s: continuous_semimodule._proof_4 0.003442 s: continuous_semimodule 0.001204 s: category_theory.is_filtered_or_empty 0.000506 s: category_theory.is_filtered_or_empty.cases_on 0.001500 s: bilin_form.restrict._proof_2 0.001840 s: pi_Lp.normed_space.equations._eqn_1 0.001088 s: rack.pre_envel_group_rel'.symm.inj 0.001829 s: znum.bit1_of_bit1 0.000452 s: znum.bit0_of_bit0 0.002697 s: pos_num.cast_to_znum 0.000209 s: gt_trans 0.000633 s: regular_expression.no_confusion_type 0.001395 s: regular_expression.no_confusion 0.000299 s: regular_expression.char.inj 0.000128 s: regular_expression.char.inj_arrow 0.000379 s: typevec.subsingleton0 0.000183 s: typevec.subsingleton0.equations._eqn_1 0.000160 s: sigma.topological_space 0.003403 s: open_embedding_of_continuous_injective_open 0.000393 s: le_Sup_of_le 0.048741 s: continuous_Sup_rng 0.000502 s: continuous_supr_rng 0.000424 s: continuous_sigma_mk 0.051447 s: is_open_supr_iff 0.000994 s: is_open_coinduced 0.014434 s: is_open_sigma_iff 0.004414 s: is_open_map_sigma_mk 0.000610 s: open_embedding_sigma_mk 0.000442 s: set.maps_to_id 0.000535 s: finsupp.order_bot._proof_1 0.000359 s: finsupp.order_bot._proof_2 0.000605 s: finsupp.order_bot._proof_3 0.000495 s: finsupp.order_bot._proof_4 0.005848 s: finsupp.order_bot._proof_5 0.001476 s: finsupp.order_bot 0.000305 s: finsupp.semilattice_inf_bot._proof_2 0.005713 s: category_theory.limits.types.is_limit_equiv_sections_apply 0.000659 s: continuous_map.semilattice_inf._proof_3 0.000215 s: ordered_semiring.npow._default 0.000115 s: linear_ordered_semiring.npow._default 0.000345 s: linear_ordered_semiring.npow._default.equations._eqn_1 0.001674 s: category_theory.costructured_arrow.map_obj_left 0.006186 s: function.surjective.add_group.equations._eqn_1 0.000701 s: bool.le_tt 0.000060 s: bool.bounded_lattice._proof_11 0.000094 s: pSet.image._sunfold 0.000872 s: add_subgroup.fintype 0.003171 s: turing.tm2_computable_in_time 0.000815 s: turing.tm2_computable_in_poly_time.to_tm2_computable_aux 0.000676 s: turing.tm2_computable_in_poly_time.time 0.002161 s: turing.tm2_computable_in_poly_time.outputs_fun 0.000599 s: turing.tm2_computable_in_poly_time.to_tm2_computable_in_time 0.000179 s: computability.fin_encoding.Γ_fin 0.000427 s: turing.id_computer 0.000085 s: turing.id_computable_in_poly_time._proof_1 0.000055 s: turing.id_computable_in_poly_time._proof_2 0.001156 s: turing.id_computable_in_poly_time._proof_3 0.011941 s: turing.id_computable_in_poly_time._proof_4 0.004698 s: turing.id_computable_in_poly_time 0.000077 s: turing.id_computable_in_time 0.039265 s: frobenius_sub 0.044847 s: frobenius_inj 0.023672 s: ennreal.supr_sub 0.000420 s: ordnode.split_min._main 0.107121 s: finset.center_mass_smul 0.000423 s: is_scalar_tower.rec_on 0.024360 s: equiv.subtype_quotient_equiv_quotient_subtype._match_2 0.005291 s: equiv.subtype_quotient_equiv_quotient_subtype._match_2.equations._eqn_1 0.001112 s: normed_group_hom.map_neg 0.000187 s: category_theory.functor.star 0.000243 s: category_theory.unique_homset_of_initial_iso_terminal._proof_1 0.000223 s: category_theory.unique_homset_of_initial_iso_terminal._proof_2 0.000143 s: category_theory.unique_homset_of_initial_iso_terminal._proof_3 0.001813 s: category_theory.limits.prod.map_iso._proof_1 0.002050 s: category_theory.limits.prod.map_iso._proof_2 0.000978 s: category_theory.limits.prod.map_iso 0.000329 s: category_theory.unique_homset_of_initial_iso_terminal._proof_4 0.000113 s: category_theory.unique_homset_of_initial_iso_terminal._proof_5 0.002354 s: category_theory.unique_homset_of_initial_iso_terminal 0.004973 s: category_theory.limits.has_initial_of_unique 0.000222 s: category_theory.limits.has_zero_object.has_initial 0.001432 s: category_theory.unique_homset_of_zero._proof_1 0.002013 s: category_theory.unique_homset_of_zero._proof_2 0.002302 s: category_theory.unique_homset_of_zero 0.007967 s: category_theory.equiv_punit._proof_3 0.000411 s: omega_complete_partial_order.continuous_hom.no_confusion_type 0.000589 s: omega_complete_partial_order.continuous_hom.no_confusion 0.000759 s: omega_complete_partial_order.continuous_hom.mk.inj 0.000590 s: omega_complete_partial_order.continuous_hom.mk.inj_arrow 0.001713 s: submonoid.subtype.equations._eqn_1 0.006370 s: free_abelian_group.map_add 0.000262 s: list.last'_append_of_ne_nil 0.000470 s: filter.germ.has_coe_t.equations._eqn_1 0.001106 s: pos_num.land._main 0.000019 s: pos_num.land 0.000067 s: num.land._main 0.000097 s: num.land._main.equations._eqn_2 0.010103 s: galois_coinsertion.lift_complete_lattice._proof_17 0.158385 s: mod_p.char_p.equations._eqn_1 0.035735 s: is_subfield.pow_mem 0.000501 s: nat.psub._main 0.000016 s: nat.psub 0.000177 s: nat.psub._main.equations._eqn_1 0.000039 s: nat.psub.equations._eqn_1 0.001614 s: nat.ppred_eq_some 0.007965 s: nat.psub_eq_some 0.003212 s: nat.psub_eq_none 0.001094 s: function.injective.of_comp_iff' 0.000251 s: function.surjective.of_comp_iff 0.000781 s: function.bijective.of_comp_iff 0.000409 s: equiv.bijective_comp 0.006752 s: category_theory.lax_monoidal_id._proof_1 0.005162 s: continuous_linear_equiv.comp_has_fderiv_at_iff' 0.019787 s: linear_isometry_equiv.comp_has_fderiv_at_iff' 0.000387 s: quiver.arborescence 0.000256 s: quiver.arborescence.sizeof 0.000338 s: monad_io_file_system.stdin 0.000056 s: io.stdin 0.000037 s: io.stdin.equations._eqn_1 0.038050 s: is_compact.Sup_mem 0.000505 s: monad_reader_adapter 0.000168 s: reader_t.adapt 0.000200 s: reader_t.monad_reader_adapter 0.000232 s: reader_t.monad_reader_adapter.equations._eqn_1 0.000092 s: ordering.has_repr._match_1 0.000443 s: list.find._main.equations._eqn_1 0.007376 s: has_deriv_at_filter.const_sub 0.001695 s: has_deriv_within_at.const_sub 0.084618 s: real.has_strict_deriv_at_arcsin 0.099245 s: real.has_deriv_at_arcsin 0.131482 s: real.has_deriv_within_at_arcsin_Ici 0.091518 s: real.has_deriv_within_at_arccos_Ici 0.012496 s: real.sqrt_eq_iff_mul_self_eq 0.003039 s: real.sqrt_eq_iff_sqr_eq 0.002457 s: zero_lt_bit0 0.000101 s: real.sqrt_two_add_series.equations._eqn_2 0.005841 s: real.sqrt_two_add_series_zero_nonneg 0.066484 s: real.sqrt_two_add_series_lt_two 0.102110 s: div_lt_div_left 0.000498 s: pow_lt_pow 0.001573 s: real.sin_square 0.081889 s: div_lt_div' 0.045110 s: complex.cos_square 0.040758 s: real.cos_square 0.376509 s: real.cos_pi_over_two_pow 0.024258 s: real.sin_square_pi_over_two_pow 0.171116 s: real.sin_square_pi_over_two_pow_succ 0.384157 s: real.sin_pi_over_two_pow_succ 0.427762 s: real.sin_lt 0.123044 s: real.pi_gt_sqrt_two_add_series 0.159790 s: real.pi_lower_bound_start 0.022114 s: real.sqrt_two_add_series_succ 0.005432 s: real.sqrt_two_add_series_monotone_left 0.000320 s: nnreal.le_of_real_iff_coe_le 0.006188 s: nnreal.sqrt_le_iff 0.007649 s: real.sqrt_le_left 0.020881 s: add_div_eq_mul_add_div 0.339093 s: real.sqrt_two_add_series_step_up 0.374184 s: real.pi_gt_314 0.001559 s: nat.arithmetic_function.ppow._proof_1 0.000970 s: nat.arithmetic_function.ppow 0.000803 s: nat.arithmetic_function.pmul._proof_1 0.000269 s: nat.arithmetic_function.pmul 0.000571 s: nat.arithmetic_function.ppow.equations._eqn_1 0.006459 s: nat.arithmetic_function.ppow_apply 0.000780 s: nat.arithmetic_function.ppow_zero 0.000430 s: nat.arithmetic_function.pmul_apply 0.004676 s: nat.arithmetic_function.pmul_zeta 0.004683 s: nat.arithmetic_function.ppow_succ 0.000260 s: category_theory.sum._match_1 0.001087 s: category_theory.sum._match_2 0.002144 s: category_theory.sum._match_3 0.006524 s: category_theory.sum._proof_1 0.006321 s: category_theory.sum._proof_2 0.019455 s: category_theory.sum._proof_3 0.001714 s: category_theory.sum 0.000320 s: category_theory.sum.associator._match_1 0.007220 s: category_theory.sum.associator._match_2 0.003459 s: category_theory.sum.associator._proof_1 0.025323 s: category_theory.sum.associator._proof_2 0.001562 s: category_theory.sum.associator 0.000220 s: category_theory.sum.inverse_associator._match_1 0.012627 s: category_theory.sum.inverse_associator._match_2 0.003894 s: category_theory.sum.inverse_associator._proof_1 0.028577 s: category_theory.sum.inverse_associator._proof_2 0.001053 s: category_theory.sum.inverse_associator 0.044746 s: category_theory.sum.associativity._proof_2 0.000909 s: model_with_corners.has_coe_to_fun.equations._eqn_1 0.009829 s: comm_group_with_zero.sizeof 0.000048 s: comm_group_with_zero.has_sizeof_inst 0.003185 s: ennreal.ne_top_equiv_nnreal._match_1.equations._eqn_1 0.000227 s: units.no_confusion_type 0.000694 s: units.no_confusion 0.000814 s: units.mk.inj 0.001731 s: units.mk.inj_eq 0.001151 s: slim_check.sampleable_ext 0.000080 s: has_repr.sizeof 0.000074 s: has_repr.has_sizeof_inst 0.000111 s: reader_t.sizeof 0.000116 s: reader_t.has_sizeof_inst 0.000382 s: slim_check.sampleable_ext.sizeof 0.000298 s: encodable.fintype_arrow_of_encodable 0.004846 s: with_top.prod_lt_top 0.036001 s: ennreal.prod_lt_top 0.009170 s: measure_theory.measure.finite_spanning_sets_in.pi._proof_2 0.000132 s: filter.germ.has_bot 0.000245 s: filter.germ.order_bot._proof_1 0.000318 s: filter.germ.order_bot._proof_2 0.000735 s: filter.germ.order_bot._proof_3 0.000413 s: filter.germ.order_bot._proof_4 0.003317 s: filter.germ.order_bot._proof_5 0.001452 s: filter.germ.order_bot 0.000561 s: filter.germ.semilattice_sup_bot._proof_5 0.000798 s: add_con.mk'_ker 0.000287 s: ordnode.inter._match_1 0.001856 s: ordnode.inter._main 0.000517 s: ordnode.inter._main.equations._eqn_1 0.006114 s: nat.arithmetic_function.zeta_pmul 0.006038 s: nat.arithmetic_function.ppow_succ' 0.000694 s: associates.bfactor_set_mem._main 0.000186 s: associates.bfactor_set_mem 0.000389 s: associates.factor_set_mem 0.000286 s: associates.factor_set.has_mem 0.001556 s: associates.mem_factor_set_top 0.001331 s: category_theory.equivalence.skeleton_equiv.equations._eqn_1 0.000220 s: snum.head._main.equations._eqn_2 0.000031 s: snum.head.equations._eqn_2 0.000586 s: sylow.rotate_vectors_prod_eq_one.mul_action._proof_2 0.000596 s: neg_add_eq_of_eq_add 0.000789 s: vector.elim._match_1 0.000305 s: totally_separated_space 0.000131 s: totally_separated_space.drec_on 0.027190 s: submodule.map_supr 0.036024 s: submodule.map_mul 0.043194 s: ring.fractional_ideal.map_mul 0.080578 s: algebra.algebra_map_of_subring 0.000535 s: subgroup.fintype.equations._eqn_1 0.019425 s: category_theory.limits.is_colimit.comp_cocone_point_unique_up_to_iso_inv_assoc 0.000306 s: pos_num.succ._main.equations._eqn_1 0.000030 s: nonote 0.000064 s: nonote.of_nat._proof_1 0.000046 s: nonote.of_nat 0.000055 s: nonote.of_nat.equations._eqn_1 0.012428 s: complete_distrib_lattice.cases_on 0.662625 s: complete_distrib_lattice.copy._aux_2 0.042737 s: model_with_corners_euclidean_half_space._match_1.equations._eqn_1 0.001219 s: asymptotics.is_o_neg_right 0.000266 s: asymptotics.is_o.neg_right 0.004450 s: asymptotics.is_equivalent.neg 0.008450 s: alg_equiv.coe_ring_hom_commutes 0.002224 s: alternating_map.no_confusion_type 0.002302 s: alternating_map.no_confusion 0.003942 s: alternating_map.mk.inj 0.004182 s: alternating_map.mk.inj_arrow 0.002019 s: int.preimage_Ici 0.000398 s: list.partition_map._match_1.equations._eqn_1 0.000462 s: matrix.block_diagonal._sunfold 0.002289 s: category_theory.sigma.desc.equations._eqn_1 0.000880 s: turing.TM2.step_aux._sunfold 0.000020 s: znum.pred 0.000393 s: znum.succ._main.equations._eqn_3 0.000081 s: znum.succ.equations._eqn_3 0.000374 s: num.zneg_to_znum_neg 0.000986 s: znum.zneg_succ 0.000140 s: generalized_continued_fraction.int_fract_pair.inhabited 0.001023 s: filter.has_countable_basis.is_countably_generated 0.000880 s: topological_space.second_countable_topology.to_first_countable_topology 0.000629 s: topological_space.second_countable_topology.to_first_countable_topology.equations._eqn_1 0.000062 s: rat.distrib_lattice 0.000036 s: rat.distrib_lattice.equations._eqn_1 0.000308 s: simplex_category.truncated.small_category 0.000128 s: category_theory.simplicial_object.truncated 0.000058 s: sSet.truncated 0.000162 s: category_theory.simplicial_object.truncated.category 0.000114 s: sSet.truncated.large_category 0.000193 s: simplex_category.truncated.inclusion 0.000728 s: category_theory.simplicial_object.sk 0.000213 s: sSet.sk 0.027405 s: times_cont_diff_succ_iff_fderiv 0.228134 s: filter.tendsto.const_mul_at_bot 0.024550 s: filter.tendsto.at_bot_mul_const 0.000186 s: subfield.ext 0.004581 s: lie_module_hom.no_confusion_type 0.003443 s: lie_module_hom.no_confusion 0.003101 s: lie_module_hom.mk.inj 0.002830 s: lie_module_hom.mk.inj_arrow 0.001912 s: ennreal.le_of_real_iff_to_real_le 0.001710 s: dioph.of_no_dummies 0.064396 s: int.eq_nat_abs_iff_mul 0.011482 s: dioph.abs_poly_dioph 0.050682 s: continuous_linear_map.op_norm_lmul_apply 0.124309 s: continuous_linear_map.op_norm_lmul_left_right_apply_apply_le 0.000818 s: typevec.last.inhabited 0.011426 s: Mon_.sizeof 0.007433 s: Mon_.mk.sizeof_spec 0.001747 s: Mod.id._proof_1 0.000422 s: Mod.id 0.001641 s: Mod.hom.cases_on 0.002004 s: Mod.hom.ext 0.002895 s: Mod.category_theory.category._proof_1 0.002618 s: Mod.category_theory.category._proof_2 0.003366 s: Mod.category_theory.category._proof_3 0.001229 s: Mod.category_theory.category 0.001884 s: Mod.one_act 0.003171 s: Mod.comap._proof_1 0.001911 s: Mod.assoc 0.001541 s: Mod.assoc_flip 0.011441 s: Mod.comap._proof_2 0.003516 s: Mod.comap._proof_3 0.010220 s: Mod.comap._proof_4 0.003924 s: Mod.comap._proof_5 0.011215 s: Mod.comap._proof_6 0.062471 s: Mod.comap._proof_7 0.036695 s: Mod.comap._proof_8 0.076586 s: Mod.comap._proof_9 0.068585 s: Mod.comap 0.067939 s: Mod.comap.equations._eqn_1 0.000319 s: pos_num.land._main.equations._eqn_3 0.000952 s: category_theory.subobject.bounded_lattice._proof_12 0.000446 s: monoid_hom.range_subtype_val._proof_2 0.001022 s: monoid_hom.range_subtype_val._proof_3 0.010750 s: monoid_hom.range_subtype_val 0.002690 s: monoid_hom.range_subtype_val.equations._eqn_1 0.046925 s: tangent_map_within 0.007562 s: monoid_algebra.group_smul.linear_map._proof_1 0.038623 s: monoid_algebra.group_smul.linear_map._proof_2 0.011017 s: monoid_algebra.group_smul.linear_map 0.039204 s: linear_map.conjugate 0.007884 s: linear_map.sum_of_conjugates 0.000121 s: mul_right_embedding 0.000173 s: function.embedding.equiv_of_fintype_self_embedding 0.000102 s: function.embedding.no_confusion_type 0.000307 s: function.embedding.no_confusion 0.000161 s: function.embedding.mk.inj 0.000892 s: function.embedding.mk.inj_eq 0.002276 s: function.embedding.ext 0.002901 s: function.embedding.equiv_of_fintype_self_embedding_to_embedding 0.001891 s: finset.univ_map_equiv_to_embedding 0.000405 s: finset.univ_map_embedding 0.000210 s: mul_right_embedding.equations._eqn_1 0.061642 s: linear_map.sum_of_conjugates_equivariant._proof_1 0.007938 s: ordnode.real_size._main 0.000403 s: ordnode.real_size._main.equations._eqn_1 0.035520 s: is_simple_lattice.complete_boolean_algebra._proof_23 0.008468 s: category_theory.limits.types.initial_limit_cone._aux_2 0.000097 s: pi.pempty_unique 0.007472 s: category_theory.limits.types.initial_limit_cone._proof_4 0.003061 s: category_theory.forget₂.category_theory.reflects_isomorphisms 0.004651 s: category_theory.forget₂.category_theory.reflects_isomorphisms.equations._eqn_1 0.001588 s: cancel_monoid.cases_on 0.001030 s: cancel_monoid.no_confusion_type 0.004411 s: linear_map.coe_fn_sum 0.002289 s: linear_map.coe_dfinsupp_sum 0.000236 s: order.ideal.has_mem.equations._eqn_1 0.000467 s: Mon.colimits.prequotient.sizeof 0.000953 s: Mon.colimits.prequotient.of.sizeof_spec 0.000473 s: order_dual.no_bot_order 0.000239 s: order_dual.no_bot_order.equations._eqn_1 0.000327 s: category_theory.quotient.as 0.004143 s: category_theory.quotient.lift._proof_1 0.000399 s: category_theory.prod_preserves_connected_limits._proof_1 0.010592 s: category_theory.lax_monoidal_functor.map_Mon._proof_3 0.050982 s: category_theory.Ran.loc.equations._eqn_1 0.178200 s: is_R_or_C.of_real_clm 0.170522 s: is_R_or_C.of_real_clm.equations._eqn_1 0.020319 s: turing.tm2_computable_in_time.to_tm2_computable_aux 0.000244 s: turing.tm2_outputs_in_time.to_tm2_outputs 0.000539 s: turing.tm2_computable_in_time.time 0.002141 s: turing.tm2_computable_in_time.outputs_fun 0.002027 s: turing.tm2_computable_in_time.to_tm2_computable 0.003207 s: category_theory.induced_category.faithful.equations._eqn_1 0.078391 s: times_cont_diff_on.sin 0.000704 s: filter.realizer.sup._match_1 0.000325 s: filter.realizer.sup._match_2 0.000375 s: filter.realizer.sup._match_3 0.015899 s: filter.realizer.sup._match_4 0.007832 s: pgame.relabelling_move_right_aux._proof_4 0.008427 s: polynomial.monomial_mul_C 0.001772 s: add_monoid_hom.mem_range 0.002904 s: turing.TM1to1.writes._main 0.000197 s: turing.TM1to1.writes 0.001789 s: turing.TM1to1.writes._main.equations._eqn_1 0.000318 s: turing.TM1to1.writes.equations._eqn_1 0.007038 s: int.le_mul_of_div_le 0.001477 s: category_theory.sigma.sigma_hom.sigma.category_theory.category_struct.equations._eqn_1 0.000300 s: open_add_subgroup.has_top._proof_1 0.000599 s: order.ideal.order_top._proof_1 0.000223 s: order.ideal.order_top._proof_2 0.002719 s: order.ideal.order_top._proof_3 0.000523 s: order.ideal.order_top._proof_4 0.000273 s: order.ideal.order_top._proof_5 0.004368 s: order.ideal.order_top 0.000983 s: order.ideal.is_proper_of_not_mem 0.000764 s: order.ideal.top_carrier 0.001637 s: order.ideal.top_of_mem_top 0.000351 s: order.ideal.is_proper_of_ne_top 0.000347 s: is_coatom.is_proper 0.000190 s: omega.int.preterm.val.equations._eqn_2 0.000211 s: interactive.loc 0.000041 s: interactive.loc.rec_on 0.000292 s: Mon.monoid.equations._eqn_1 0.000858 s: category_theory.mono_over.top_left 0.000181 s: pfunctor.M.iselect 0.000032 s: linarith.ineq.cmp 0.000075 s: linarith.ineq.cmp._main.equations._eqn_3 0.000017 s: linarith.ineq.cmp.equations._eqn_3 0.000281 s: state_t.mk_label._main 0.000071 s: state_t.mk_label 0.000178 s: state_t.call_cc 0.000231 s: state_t.call_cc.equations._eqn_1 0.002491 s: fin.symm_cast 0.878446 s: AddCommGroup.has_forget_to_AddCommMon 0.000644 s: AddCommGroup.limit_cone._proof_1 0.000301 s: AddCommGroup.limit_cone._proof_2 0.002844 s: AddCommGroup.limit_cone 2.885673 s: AddCommGroup.forget₂_AddCommMon_preserves_limits_aux 2.897051 s: AddCommGroup.forget₂_AddCommMon_preserves_limits_aux.equations._eqn_1 0.000451 s: category_theory.cofinal.dcases_on 0.008086 s: equiv.sigma_subtype_preimage_equiv_subtype._match_1 0.006450 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_5 0.000153 s: finsupp.semilattice_inf._proof_1 0.000323 s: finsupp.semilattice_inf._proof_2 0.000311 s: finsupp.semilattice_inf._proof_3 0.003562 s: finsupp.semilattice_inf._proof_4 0.000476 s: finsupp.semilattice_inf._proof_5 0.000318 s: finsupp.semilattice_inf._proof_6 0.000255 s: finsupp.semilattice_inf._proof_7 0.002675 s: finsupp.semilattice_inf._proof_8 0.003498 s: finsupp.semilattice_inf 0.000532 s: finsupp.lattice._proof_9 0.006976 s: finset.bUnion_subset_bUnion_of_subset_left 0.015415 s: category_theory.nat_trans.hcomp_id_app 0.039798 s: category_theory.functor.associator_hom_app 0.011166 s: category_theory.nat_trans.hcomp_app 0.027778 s: category_theory.Monad.of_Mon._proof_1 0.015037 s: category_theory.nat_trans.id_hcomp_app 0.009255 s: category_theory.Monad.of_Mon._proof_2 0.010520 s: category_theory.Monad.of_Mon._proof_3 0.001927 s: category_theory.Monad.of_Mon 0.003199 s: category_theory.Monad.Mon_to_Monad._proof_1 0.013631 s: category_theory.Monad.Mon_to_Monad._proof_2 0.004947 s: category_theory.Monad.of_Mon_μ 0.026707 s: category_theory.Monad.Mon_to_Monad._proof_3 0.034745 s: category_theory.Monad.Mon_to_Monad._proof_4 0.046018 s: category_theory.Monad.Mon_to_Monad._proof_5 0.040881 s: category_theory.Monad.Mon_to_Monad 0.017997 s: category_theory.Monad.Monad_to_Mon._proof_1 0.010613 s: category_theory.Monad.Monad_to_Mon._proof_2 0.042727 s: category_theory.Monad.Monad_to_Mon._proof_4 0.017248 s: category_theory.Monad.Monad_to_Mon 0.010264 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_1 0.020221 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_2 0.100178 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_3 0.025936 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_4 0.018315 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_5 0.098057 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_6 0.420628 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_7 0.412476 s: category_theory.Monad.Monad_Mon_equiv.counit_iso._proof_8 0.030827 s: category_theory.Monad.Monad_Mon_equiv.counit_iso 0.026485 s: category_theory.Monad.Monad_Mon_equiv.counit_iso.equations._eqn_1 0.013581 s: linear_map.to_bilin._proof_1 0.007532 s: algebra.trace_form._proof_1 0.072007 s: linear_map.to_bilin 0.319042 s: algebra.trace_form 0.007567 s: rbnode.depth._main 0.000036 s: rbnode.depth 0.000393 s: rbnode.depth._main.equations._eqn_1 0.000178 s: rbnode.depth.equations._eqn_1 0.000027 s: category_theory.Groupoid 0.000090 s: category_theory.Groupoid.str 0.010646 s: category_theory.Groupoid.category._proof_1 0.006026 s: category_theory.Groupoid.category._proof_2 0.000566 s: category_theory.Groupoid.category._proof_3 0.006729 s: category_theory.Groupoid.category 0.001400 s: category_theory.Groupoid.forget_to_Cat._proof_1 0.000764 s: category_theory.Groupoid.forget_to_Cat._proof_2 0.005094 s: category_theory.Groupoid.forget_to_Cat 0.000893 s: quotient_add_group.ker_lift._proof_1 0.000512 s: quotient_add_group.ker_lift 0.000893 s: quotient_add_group.ker_lift.equations._eqn_1 0.000120 s: simplex_category.σ._proof_1 0.000346 s: simplex_category.σ 0.000507 s: simplex_category.hom.ext 0.001015 s: preorder_hom.comp_to_fun 0.000932 s: order_embedding.to_preorder_hom_coe 0.002439 s: dite_cast 0.000726 s: fin.coe_cast_lt 0.000189 s: fin.cast_lt_mk 0.315372 s: simplex_category.δ_comp_σ_of_gt 0.000442 s: dense_inducing.cases_on 0.000332 s: category_theory.internalize_hom._proof_1 0.001012 s: io.error.no_confusion 0.000277 s: io.error.sys.inj 0.006332 s: category_theory.half_braiding.cases_on 0.005407 s: category_theory.half_braiding.no_confusion_type 0.009167 s: category_theory.half_braiding.no_confusion 0.007293 s: category_theory.half_braiding.mk.inj 0.005793 s: category_theory.half_braiding.mk.inj_arrow 0.001659 s: ring.fractional_ideal.bot_eq_zero 0.000128 s: exists.classical_rec_on._proof_1 0.007184 s: category_theory.limits.is_colimit_aux._proof_1 0.009489 s: category_theory.limits.is_colimit_aux._proof_2 0.005398 s: category_theory.limits.is_colimit_aux 0.009466 s: is_primitive_root.inv' 0.000269 s: is_primitive_root.inv_iff' 0.018219 s: is_primitive_root.fpow_of_gcd_eq_one 0.000259 s: is_scalar_tower.cases_on 0.000402 s: distrib_mul_action_hom.has_coe_to_fun.equations._eqn_1 0.000120 s: add_monoid_hom.inr._proof_1 0.000894 s: add_monoid_hom.inr._proof_2 0.000380 s: add_monoid_hom.inr 0.006172 s: add_submonoid.mem_map 0.001868 s: add_monoid_hom.mrange_eq_map 0.004604 s: add_submonoid.map_inr 0.001400 s: add_submonoid.mrange_inr 0.003517 s: add_submonoid.mem_prod 0.002703 s: add_submonoid.prod_top 0.000682 s: add_submonoid.mrange_inr' 0.000139 s: ε_NFA.step 0.001569 s: ε_NFA.ε_closure 0.000315 s: ε_NFA.ε_closure.cases_on 0.003255 s: add_subgroup.neg_subset_closure 0.521676 s: hyperreal.lt_of_is_st_lt 0.000053 s: equiv.false_equiv_pempty 0.000124 s: sum.get_left._main 0.008559 s: metric.finite_approx_of_totally_bounded 0.000168 s: except_t.bind 0.000133 s: except_t.return 0.002701 s: except_t.monad 0.001638 s: except_t.ext 0.000124 s: except.map._main 0.000038 s: except.map 0.000593 s: bind_ext_congr 0.000532 s: except_t.bind_cont._main.equations._eqn_1 0.000219 s: except_t.bind_cont.equations._eqn_1 0.000248 s: except.map._main.equations._eqn_1 0.000113 s: except.map.equations._eqn_1 0.000491 s: except_t.run_pure 0.000117 s: except.map._main.equations._eqn_2 0.000096 s: except.map.equations._eqn_2 0.002426 s: except_t.run_map 0.000479 s: map_ext_congr 0.000507 s: except_t.run_bind 0.116469 s: except_t.is_lawful_monad 0.000255 s: except_t.is_lawful_monad_cont._proof_1 0.000150 s: fin_enum.pi.tail._main 0.000114 s: fin_enum.pi.tail 0.024678 s: fpow_bit1_nonneg_iff 0.003916 s: fpow_odd_nonneg 0.000157 s: mv_polynomial.coe_to_mv_power_series 0.002019 s: mv_polynomial.coeff_coe 0.000096 s: inhabited.no_confusion_type 0.000180 s: inhabited.no_confusion 0.000099 s: inhabited.mk.inj 0.000086 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.none_1.inj 0.000038 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.none_1.inj_arrow 0.000721 s: slim_check.list.shrink_one._main.equations._eqn_1 0.000035 s: string.to_nat 0.002556 s: filter.inf_ne_bot_iff_frequently_left 0.000106 s: pgame.add_zero_relabelling 0.001078 s: pgame.mk_add_move_left_inl 0.000567 s: pgame.mk_add_move_left_inr 0.000611 s: equiv.sum_comm_symm 0.000585 s: pgame.mk_add_move_right_inr 0.000351 s: pgame.mk_add_move_right_inl 0.006560 s: pgame.add_comm_relabelling._main._pack 0.000102 s: pgame.add_comm_relabelling._main 0.000045 s: pgame.add_comm_relabelling 0.000064 s: pgame.add_comm_le 0.000479 s: pgame.left_moves_add 0.000271 s: pgame.right_moves_add 0.001762 s: pgame.add_move_right_inl 0.002084 s: pgame.add_move_left_inl 0.010634 s: pgame.add_le_add_right 0.000146 s: pgame.add_le_add_left 0.001559 s: pgame.move_right_right_moves_neg_symm 0.000293 s: pgame.left_moves_neg 0.000823 s: pgame.move_left_left_moves_neg_symm 0.000708 s: pgame.move_right_left_moves_neg 0.011854 s: pgame.le_iff_neg_ge 0.000866 s: pgame.neg_zero 0.007409 s: pgame.neg_add_relabelling._main._pack 0.000136 s: pgame.neg_add_relabelling._main 0.000049 s: pgame.neg_add_relabelling 0.000057 s: pgame.neg_add_le 0.002048 s: pgame.add_move_right_inr 0.005618 s: pgame.add_left_neg_le_zero 0.000354 s: pgame.zero_le_add_left_neg 0.000075 s: pgame.zero_le_add_right_neg 0.008213 s: pgame.add_assoc_relabelling._main._pack 0.000512 s: pgame.add_assoc_relabelling._main 0.000110 s: pgame.add_assoc_relabelling 0.000120 s: pgame.add_right_neg_le_zero 0.002025 s: pgame.add_lt_add_right 0.002462 s: pgame.numeric_rec 0.015631 s: pgame.lt_of_le_mk 0.003011 s: pgame.lt_asymm 0.000073 s: pgame.le_of_lt 0.000786 s: pgame.numeric.move_left 0.000431 s: pgame.numeric.move_left_lt 0.000088 s: pgame.numeric.move_left_le 0.000748 s: pgame.numeric.move_right 0.000242 s: pgame.numeric.lt_move_right 0.000058 s: pgame.numeric.le_move_right 0.002296 s: pgame.add_lt_add 0.000503 s: pgame.lt_of_le_of_lt 0.000341 s: pgame.add_lt_add_left 0.010547 s: pgame.numeric_add 0.000384 s: pgame.add_congr 0.000819 s: surreal.add._proof_1 0.000179 s: surreal.add 0.000044 s: surreal.has_add 0.000113 s: pgame.add_assoc_equiv 0.002797 s: surreal.ordered_add_comm_group._proof_1 0.000085 s: tactic.norm_fin.normalize_fin 0.000040 s: tactic.norm_fin.normalize_fin_lt 0.000200 s: tactic.norm_fin.normalize_fin_lt.mk 0.000131 s: functor.sizeof 0.000036 s: functor.has_sizeof_inst 0.000074 s: has_pure.sizeof 0.000044 s: has_pure.has_sizeof_inst 0.000091 s: has_seq.sizeof 0.000038 s: has_seq.has_sizeof_inst 0.000076 s: has_seq_left.sizeof 0.000050 s: has_seq_left.has_sizeof_inst 0.000122 s: has_seq_right.sizeof 0.000034 s: has_seq_right.has_sizeof_inst 0.000213 s: applicative.sizeof 0.001756 s: intermediate_field.fixing_subgroup_equiv._proof_1 0.001101 s: intermediate_field.fixing_subgroup_equiv._proof_3 0.001772 s: intermediate_field.fixing_subgroup_equiv._proof_5 0.000956 s: intermediate_field.fixing_subgroup_equiv._proof_6 0.001271 s: intermediate_field.fixing_subgroup_equiv._proof_7 0.001085 s: intermediate_field.fixing_subgroup_equiv._proof_8 0.001050 s: intermediate_field.fixing_subgroup_equiv._proof_9 0.000955 s: intermediate_field.fixing_subgroup_equiv._proof_10 0.001618 s: intermediate_field.fixing_subgroup_equiv._proof_11 0.000980 s: intermediate_field.fixing_subgroup_equiv._proof_12 0.001311 s: intermediate_field.fixing_subgroup_equiv._proof_13 0.057702 s: intermediate_field.fixing_subgroup_equiv._proof_14 0.072163 s: intermediate_field.fixing_subgroup_equiv._proof_15 0.176380 s: intermediate_field.fixing_subgroup_equiv._proof_16 0.049800 s: intermediate_field.fixing_subgroup_equiv 0.042935 s: intermediate_field.fixing_subgroup_equiv.equations._eqn_1 0.015254 s: smooth_add_monoid_morphism.rec_on 0.000355 s: set.infinite_of_inj_on_maps_to 0.005893 s: category_theory.yoneda_evaluation.equations._eqn_1 0.004371 s: has_fderiv_at_filter.const_add 0.001345 s: has_fderiv_at.const_add 0.000483 s: mul_equiv.congr_arg 0.000712 s: nat.find_greatest._main 0.000026 s: nat.find_greatest 0.000855 s: nat.find_greatest._main.equations._eqn_2 0.000100 s: nat.find_greatest.equations._eqn_2 0.004045 s: nat.find_greatest_eq 0.000828 s: is_CHSH_tuple.A₁_inv 0.038514 s: edist_le_tsum_of_edist_le_of_tendsto 0.017950 s: edist_le_of_edist_le_geometric_of_tendsto 0.000249 s: lipschitz_with.id 0.007572 s: lipschitz_with.iterate 0.002706 s: lipschitz_with.edist_iterate_succ_le_geometric 0.000140 s: contracting_with.to_lipschitz_with 0.005562 s: contracting_with.exists_fixed_point 0.000415 s: set.maps_to.comp 0.002455 s: set.maps_to.iterate 0.001632 s: set.maps_to.coe_restrict_apply 0.000757 s: nat.iterate._main.equations._eqn_2 0.000075 s: nat.iterate.equations._eqn_2 0.002570 s: set.maps_to.iterate_restrict 0.011081 s: contracting_with.exists_fixed_point' 0.001581 s: contracting_with.efixed_point' 0.000180 s: tactic.ring2.horner_expr.mul_const 0.000682 s: trunc_of_multiset_exists_mem._match_1.equations._eqn_2 0.000113 s: free_add_magma.no_confusion_type 0.000418 s: free_add_magma.no_confusion 0.000193 s: free_add_magma.add.inj 0.000291 s: equiv.set.pempty.equations._eqn_1 0.000160 s: semimodule.restrict_scalars.normed_space_orig 0.000961 s: pgame.relabelling.refl._main._pack 0.000053 s: pgame.relabelling.refl._main 0.001587 s: pgame.relabelling.refl._main._pack.equations._eqn_1 0.000562 s: pgame.relabelling.refl._main.equations._eqn_1 0.003448 s: category_theory.coyoneda.colimit_cocone_is_colimit_desc 0.000349 s: locally_constant.ring._proof_2 0.000123 s: Top.sheaf_to_Type._proof_2 0.000861 s: generalized_continued_fraction.ext_iff 0.000107 s: generalized_continued_fraction.ext 0.003010 s: smooth_map_group._proof_7 0.001344 s: category_theory.pairwise.comp._main.equations._eqn_3 0.000167 s: category_theory.pairwise.comp.equations._eqn_3 0.000058 s: vm_obj_kind.format.inj 0.000331 s: submodule.span.ring_hom._proof_3 0.017391 s: topological_space.open_nhds.partial_order._proof_4 0.000129 s: add_submonoid.simps.coe 0.000205 s: add_submonoid.simps.coe.equations._eqn_1 0.000484 s: ordnode.update_with._match_1.equations._eqn_1 0.002548 s: continuous_linear_map.deriv₂._proof_3 0.021066 s: continuous_linear_map.deriv₂._proof_4 0.002225 s: continuous_linear_map.deriv₂._proof_1 0.016161 s: continuous_linear_map.deriv₂._proof_2 0.002977 s: continuous_linear_map.deriv₂._proof_5 0.017388 s: continuous_linear_map.deriv₂._proof_6 0.002409 s: continuous_linear_map.deriv₂._proof_7 0.020439 s: continuous_linear_map.deriv₂._proof_8 0.038334 s: continuous_linear_map.deriv₂._proof_9 0.005873 s: continuous_linear_map.bilinear_comp._proof_1 0.020948 s: continuous_linear_map.bilinear_comp._proof_2 0.001858 s: continuous_linear_map.bilinear_comp._proof_3 0.017130 s: continuous_linear_map.bilinear_comp._proof_4 0.003259 s: continuous_linear_map.bilinear_comp._proof_5 0.017495 s: continuous_linear_map.bilinear_comp._proof_6 0.024728 s: continuous_linear_map.bilinear_comp 0.064830 s: continuous_linear_map.deriv₂ 0.000181 s: continuous_linear_map.uncurry_bilinear._proof_1 0.008500 s: continuous_linear_map.uncurry_bilinear._proof_2 0.021951 s: continuous_linear_map.uncurry_bilinear._proof_3 0.000152 s: continuous_linear_map.uncurry_bilinear._proof_4 0.000064 s: continuous_linear_map.uncurry_bilinear._proof_5 0.002304 s: continuous_linear_map.uncurry_bilinear._proof_6 0.020482 s: continuous_linear_map.uncurry_bilinear._proof_7 0.000237 s: continuous_linear_map.uncurry_bilinear._proof_8 0.000082 s: continuous_linear_map.uncurry_bilinear._proof_9 0.004498 s: continuous_linear_map.uncurry_bilinear._proof_10 0.017512 s: continuous_linear_map.uncurry_bilinear._proof_11 0.223045 s: continuous_linear_map.uncurry_bilinear 0.127700 s: continuous_linear_map.fpower_series_bilinear._main 0.002986 s: fin_rotate._sunfold 0.000626 s: is_cond_right_inv 0.000132 s: is_cond_right_inv.right_inv 0.033851 s: nat.pow_dvd_pow_iff_pow_le_pow 0.001428 s: nat.pow_dvd_pow_iff_le_right 0.001032 s: CommRing.limit_cone.equations._eqn_1 0.008449 s: enat.linear_ordered_add_comm_monoid_with_top 0.022469 s: add_valuation.of 0.035210 s: multiplicity.add_valuation._proof_1 0.034012 s: multiplicity.add_valuation._proof_2 0.031225 s: multiplicity.add_valuation._proof_3 0.046909 s: multiplicity.add_valuation._proof_4 0.083859 s: multiplicity.add_valuation 0.000457 s: discrete_valuation_ring.to_is_principal_ideal_ring 0.000273 s: discrete_valuation_ring.not_a_field' 0.000137 s: discrete_valuation_ring.not_a_field 0.006764 s: eq_zero_of_mul_eq_self_right 0.085842 s: discrete_valuation_ring.irreducible_iff_uniformizer 0.032866 s: discrete_valuation_ring.exists_irreducible 0.000373 s: discrete_valuation_ring.exists_prime 0.000218 s: discrete_valuation_ring.add_val._proof_1 0.000296 s: discrete_valuation_ring.add_val 0.005437 s: add_valuation.map_one 0.002415 s: discrete_valuation_ring.add_val_one 0.000510 s: list.ordered_insert._main 0.000060 s: list.ordered_insert 0.000415 s: list.insertion_sort._main 0.000068 s: list.insertion_sort 0.004731 s: list.insertion_sort._main.equations._eqn_2 0.000209 s: list.insertion_sort.equations._eqn_2 0.000322 s: list.pairwise.tail 0.000187 s: list.sorted.tail 0.000837 s: list.ordered_insert._main.equations._eqn_2 0.000290 s: list.ordered_insert.equations._eqn_2 0.003674 s: list.sorted.insertion_sort_eq 0.000133 s: pnat.xgcd_type.vp 0.000095 s: pnat.xgcd_type.vp.equations._eqn_1 0.000096 s: algebraic_geometry.SheafedSpace.coe_carrier._proof_2 0.000040 s: algebraic_geometry.SheafedSpace.coe_carrier._proof_3 0.000222 s: algebraic_geometry.SheafedSpace.coe_carrier 0.002259 s: algebraic_geometry.SheafedSpace.forget._proof_8 0.005002 s: parser.decorate_errors_eq_done 0.001450 s: parser.unfailing.decorate_errors 0.001471 s: parser.unfailing.decorate_errors.equations._eqn_1 0.000119 s: tactic.ring2.csring_expr.ibelow 0.001004 s: tactic.ring2.csring_expr.binduction_on 0.000124 s: list.modify_nth.equations._eqn_1 0.000070 s: pnat.nat_pred 0.000057 s: pnat.nat_pred.equations._eqn_1 0.002079 s: slim_check.pnat.sampleable._proof_1 0.000790 s: subsemiring.sizeof 0.000402 s: free_semigroup.monad 0.001003 s: free_semigroup.rec_on 0.000607 s: free_semigroup.rec_on' 0.001189 s: free_semigroup.lift_of_mul 0.002899 s: free_semigroup.lift_mul 0.000256 s: free_semigroup.map_mul 0.001263 s: free_semigroup.map_mul' 0.000813 s: free_semigroup.mul_bind 0.136581 s: free_semigroup.is_lawful_monad 0.155554 s: free_semigroup.is_lawful_monad.equations._eqn_1 0.000462 s: list.lex.is_order_connected._match_1.equations._eqn_4 0.001195 s: with_bot.coe_sup 0.005898 s: finset.sup'_cons 0.014223 s: finset.exists_mem_eq_sup' 0.002755 s: finset.exists_mem_eq_sup 0.006059 s: finset.exists_mem_eq_inf 0.079076 s: linear_map.equivariant_projection._proof_1 0.000303 s: eckmann_hilton.add_comm_monoid._proof_1 0.000428 s: eckmann_hilton.add_comm_monoid._proof_2 0.000380 s: eckmann_hilton.add_comm_monoid._proof_3 0.000239 s: eckmann_hilton.add_comm_monoid._proof_4 0.013650 s: eckmann_hilton.add_comm_monoid 0.008193 s: eckmann_hilton.add_comm_monoid.equations._eqn_1 0.000199 s: many_one_reducible.equations._eqn_1 0.000295 s: category_theory.quotient.sizeof 0.000179 s: category_theory.quotient.has_sizeof_inst 0.012728 s: continuous_linear_map.prod_equiv._proof_1 0.008534 s: continuous_linear_map.prod_equiv._proof_2 0.004606 s: continuous_linear_map.prod_equiv 0.002340 s: continuous_linear_map.prodₗ._proof_11 0.001735 s: ordered_semimodule.rec_on 0.001267 s: turing.TM1.step_aux._main.equations._eqn_6 0.005827 s: category_theory.limits.is_initial.of_unique._proof_2 0.000108 s: Scott.is_open 0.001342 s: preorder_hom.has_top_top_to_fun 0.009628 s: complete_lattice.top_continuous 0.016004 s: Scott.is_open_univ 0.031048 s: is_compl.prod_mul_prod 0.000423 s: finset.prod_mul_prod_compl 0.000357 s: function.injective.left_cancel_semigroup._proof_1 0.005206 s: function.injective.left_cancel_semigroup._proof_2 0.000761 s: function.injective.left_cancel_semigroup 0.002826 s: function.injective.ordered_cancel_comm_monoid._proof_1 0.001696 s: function.injective.ordered_cancel_comm_monoid._proof_2 0.010241 s: function.injective.ordered_cancel_comm_monoid._proof_3 0.011144 s: function.injective.ordered_cancel_comm_monoid._proof_4 0.012364 s: function.injective.ordered_cancel_comm_monoid._proof_6 0.012539 s: function.injective.ordered_cancel_comm_monoid._proof_7 0.009500 s: function.injective.ordered_cancel_comm_monoid._proof_8 0.017093 s: function.injective.ordered_cancel_comm_monoid._proof_9 0.016890 s: function.injective.ordered_cancel_comm_monoid._proof_10 0.021469 s: function.injective.ordered_cancel_comm_monoid._proof_11 0.019260 s: function.injective.ordered_cancel_comm_monoid._proof_12 0.005625 s: function.injective.ordered_cancel_comm_monoid._proof_13 0.030953 s: function.injective.ordered_cancel_comm_monoid 0.000234 s: monoid_with_zero_hom.has_coe_to_monoid_hom 0.006530 s: units.measurable_const_smul_iff 0.004381 s: is_unit.measurable_const_smul_iff 0.001637 s: group.is_unit 0.000795 s: measurable_const_smul_iff 0.001575 s: ordnode.all.decidable 0.009941 s: multiset.union_le_union_left 0.000238 s: add_semiconj_by.eq 0.003377 s: add_semiconj_by.units_neg_symm_left 0.001776 s: add_semiconj_by.units_neg_symm_left_iff 0.001026 s: add_semiconj_by.neg_symm_left_iff 0.000096 s: mvqpf.prj.P 0.000024 s: mvqpf.prj 0.000676 s: mvqpf.prj.abs._main 0.000071 s: mvqpf.prj.abs 0.000394 s: valuation.is_equiv 0.000441 s: valuation.is_equiv.refl 0.001341 s: nat.modeq.modeq_one 0.000237 s: nat.modeq.chinese_remainder._proof_1 0.001648 s: tmp_order.equations._eqn_1 0.005942 s: add_submonoid.nontrivial_iff_exists_ne_zero 0.001941 s: add_submonoid.bot_or_nontrivial 0.001365 s: algebra.lmul_left.equations._eqn_1 0.255927 s: ordered_comm_ring.mul_pos 0.007279 s: ordered_comm_ring.to_ordered_ring 0.077317 s: function.injective.ordered_comm_ring._proof_1 0.081216 s: function.injective.ordered_comm_ring._proof_2 0.100000 s: function.injective.ordered_comm_ring._proof_3 0.088004 s: function.injective.ordered_comm_ring._proof_4 0.084150 s: function.injective.ordered_comm_ring._proof_5 0.010003 s: function.injective.ordered_comm_ring._proof_6 0.005586 s: function.injective.ordered_comm_ring._proof_7 0.067583 s: function.injective.ordered_comm_ring._proof_8 0.081122 s: function.injective.ordered_comm_ring._proof_9 0.090148 s: function.injective.ordered_comm_ring._proof_10 0.079716 s: function.injective.ordered_comm_ring._proof_11 0.069992 s: function.injective.ordered_comm_ring._proof_12 0.068139 s: function.injective.ordered_comm_ring._proof_13 0.072820 s: function.injective.ordered_comm_ring._proof_14 0.068356 s: function.injective.ordered_comm_ring._proof_15 0.069122 s: function.injective.ordered_comm_ring._proof_16 0.072609 s: function.injective.ordered_comm_ring._proof_17 0.086070 s: function.injective.ordered_comm_ring._proof_18 0.080447 s: function.injective.ordered_comm_ring._proof_19 0.086298 s: function.injective.ordered_comm_ring._proof_20 0.089675 s: function.injective.ordered_comm_ring._proof_21 0.014532 s: function.injective.ordered_comm_ring._proof_22 0.071414 s: function.injective.ordered_comm_ring._proof_23 0.090226 s: function.injective.ordered_comm_ring._proof_24 0.076950 s: function.injective.ordered_comm_ring._proof_25 0.079318 s: function.injective.ordered_comm_ring._proof_26 0.091940 s: function.injective.ordered_comm_ring._proof_27 0.088644 s: function.injective.ordered_comm_ring._proof_28 0.080567 s: function.injective.ordered_comm_ring._proof_29 0.640680 s: function.injective.ordered_comm_ring 1.035224 s: function.injective.linear_ordered_comm_ring._proof_1 1.021980 s: function.injective.linear_ordered_comm_ring._proof_2 1.035343 s: function.injective.linear_ordered_comm_ring._proof_3 0.981833 s: function.injective.linear_ordered_comm_ring._proof_4 1.031963 s: function.injective.linear_ordered_comm_ring._proof_5 1.011001 s: function.injective.linear_ordered_comm_ring._proof_6 1.018678 s: function.injective.linear_ordered_comm_ring._proof_7 0.947933 s: function.injective.linear_ordered_comm_ring._proof_8 0.954419 s: function.injective.linear_ordered_comm_ring._proof_9 1.071148 s: function.injective.linear_ordered_comm_ring._proof_10 1.016407 s: function.injective.linear_ordered_comm_ring._proof_11 1.007090 s: function.injective.linear_ordered_comm_ring._proof_12 1.124655 s: function.injective.linear_ordered_comm_ring._proof_13 0.996506 s: function.injective.linear_ordered_comm_ring._proof_14 0.959451 s: function.injective.linear_ordered_comm_ring._proof_15 0.000311 s: function.injective.linear_ordered_comm_ring._proof_16 0.002338 s: function.injective.linear_ordered_comm_ring._proof_18 0.000349 s: function.injective.linear_ordered_comm_ring._proof_19 1.075987 s: function.injective.linear_ordered_comm_ring._proof_20 1.057057 s: function.injective.linear_ordered_comm_ring._proof_21 0.994866 s: function.injective.linear_ordered_comm_ring._proof_22 0.981915 s: function.injective.linear_ordered_comm_ring._proof_24 0.612571 s: function.injective.linear_ordered_comm_ring 0.115511 s: function.injective.linear_ordered_ring._proof_1 0.117188 s: function.injective.linear_ordered_ring._proof_2 0.107499 s: function.injective.linear_ordered_ring._proof_4 0.111310 s: function.injective.linear_ordered_ring._proof_5 0.119781 s: function.injective.linear_ordered_ring._proof_6 0.119550 s: function.injective.linear_ordered_ring._proof_7 0.104536 s: function.injective.linear_ordered_ring._proof_8 0.098799 s: function.injective.linear_ordered_ring._proof_9 0.100348 s: function.injective.linear_ordered_ring._proof_10 0.098438 s: function.injective.linear_ordered_ring._proof_11 0.098521 s: function.injective.linear_ordered_ring._proof_12 0.099729 s: function.injective.linear_ordered_ring._proof_13 0.096984 s: function.injective.linear_ordered_ring._proof_14 0.108974 s: function.injective.linear_ordered_ring._proof_15 0.000184 s: function.injective.linear_ordered_ring._proof_16 0.000160 s: function.injective.linear_ordered_ring._proof_17 0.014812 s: function.injective.linear_ordered_ring._proof_18 0.000408 s: function.injective.linear_ordered_ring._proof_19 0.093999 s: function.injective.linear_ordered_ring._proof_20 0.115948 s: function.injective.linear_ordered_ring._proof_21 0.113679 s: function.injective.linear_ordered_ring._proof_22 0.000406 s: function.injective.linear_ordered_ring._proof_23 0.127230 s: function.injective.linear_ordered_ring 0.000510 s: subring.to_ordered_ring._proof_1 0.000592 s: subring.to_ordered_ring._proof_2 0.000598 s: subring.to_ordered_ring._proof_3 0.000513 s: subring.to_ordered_ring._proof_4 0.000481 s: subring.to_ordered_ring._proof_5 0.000491 s: subring.to_ordered_ring._proof_6 0.011631 s: subring.to_ordered_ring._proof_7 0.037205 s: subring.to_ordered_ring 0.000622 s: subring.to_linear_ordered_ring._proof_1 0.000334 s: subring.to_linear_ordered_ring._proof_2 0.004672 s: subring.to_linear_ordered_ring._proof_3 0.002429 s: subring.to_linear_ordered_ring._proof_4 0.000426 s: subring.to_linear_ordered_ring._proof_5 0.000398 s: subring.to_linear_ordered_ring._proof_6 0.001794 s: subring.to_linear_ordered_ring._proof_7 0.000610 s: subring.to_linear_ordered_ring._proof_8 0.041383 s: subring.to_linear_ordered_ring 0.000437 s: subring.to_linear_ordered_comm_ring._proof_1 0.000232 s: subring.to_linear_ordered_comm_ring._proof_2 0.007392 s: subring.to_linear_ordered_comm_ring._proof_3 0.002565 s: subring.to_linear_ordered_comm_ring._proof_4 0.001402 s: subring.to_linear_ordered_comm_ring._proof_5 0.000446 s: subring.to_linear_ordered_comm_ring._proof_6 0.000466 s: subring.to_linear_ordered_comm_ring._proof_7 0.000526 s: subring.to_linear_ordered_comm_ring._proof_8 0.050911 s: subring.to_linear_ordered_comm_ring 0.008579 s: subalgebra.to_linear_ordered_comm_ring 0.012198 s: model_with_corners_euclidean_quadrant._proof_3 0.001068 s: tactic.itauto.proof.cases_on 0.001671 s: tactic.itauto.proof.no_confusion_type 0.005555 s: tactic.itauto.proof.no_confusion 0.000340 s: tactic.itauto.proof.or_inl.inj 0.055331 s: ordered_comm_ring.mk.inj 0.000273 s: holor.has_add.equations._eqn_1 0.000257 s: option_t.has_monad_lift.equations._eqn_1 0.011818 s: add_monoid_algebra.lift._proof_7 0.000110 s: relation.refl_gen.rec_on 0.005913 s: category_theory.limits.is_image.iso_ext_inv_m 0.021859 s: category_theory.limits.image_subobject_arrow 0.006453 s: category_theory.limits.image_subobject_le 0.002713 s: category_theory.limits.image_subobject_le_mk 0.007345 s: omega_complete_partial_order.continuous_hom.comp_assoc 0.000278 s: is_galois.normal 0.000885 s: set.Icc.semilattice_inf_top._proof_3 0.001040 s: free_add_semigroup.map_pure 0.001846 s: midpoint_vsub_right 0.000609 s: set.Ici.semilattice_sup_top._proof_3 0.001184 s: free_group.monad 0.003352 s: free_group.map_inv 0.000380 s: list.zip.equations._eqn_1 0.000832 s: list.zip_with._main.equations._eqn_1 0.000251 s: list.zip_with.equations._eqn_1 0.001346 s: list.zip_with._main.equations._eqn_3 0.000379 s: list.zip_with.equations._eqn_3 0.015076 s: list.nth_zip_with_eq_some 0.005743 s: list.nth_zip_eq_some 0.001067 s: mul_hom.inverse.equations._eqn_1 0.039366 s: multilinear_map.alternatization.equations._eqn_1 0.067842 s: real.rpow_nat_inv_pow_nat 0.000466 s: order_dual.is_total_le.equations._eqn_1 0.019953 s: equiv.perm.swap_factors._proof_3 0.001228 s: filter.has_antimono_basis.dcases_on 0.013801 s: filter.is_countably_generated.tendsto_iff_seq_tendsto 0.000374 s: filter.is_countably_generated.tendsto_of_seq_tendsto 0.000196 s: ae_mono' 0.005405 s: list.tendsto_cons 0.000943 s: filter.tendsto.cons 0.005329 s: interval_integral.integral_comp_mul_sub 0.000125 s: smt_pre_config.sizeof 0.000025 s: smt_pre_config.has_sizeof_inst 0.002711 s: set.surj_on.inter_inter 0.002227 s: diffeomorph.sizeof 0.000347 s: linear_order_of_compares._proof_5 0.008759 s: is_basis.to_matrix 0.005698 s: is_basis.to_matrix_apply 0.025840 s: is_basis.to_matrix_equiv._proof_1 0.045078 s: is_basis.to_matrix_equiv._proof_2 0.021689 s: is_basis.to_matrix_equiv._proof_3 0.002983 s: linear_equiv.map_sum 0.015040 s: is_basis.equiv_fun_self 0.032409 s: is_basis.to_matrix_equiv._proof_4 0.018491 s: is_basis.to_matrix_equiv 0.017691 s: is_basis.to_matrix_equiv.equations._eqn_1 0.006323 s: function.injective.add_left_cancel_monoid._proof_2 0.047797 s: lipschitz_with.uncurry 0.000389 s: metric.lipschitz_inf_dist_pt 0.006941 s: metric.lipschitz_inf_dist 0.010921 s: pos_tangent_cone_at_mono 0.023320 s: affine_subspace.direction_inf 0.008387 s: polynomial.C'_mem_lifts 0.006215 s: mem_gmultiples_iff_mem_range_add_order_of 0.003156 s: tensor_product.has_scalar.equations._eqn_1 0.000269 s: Module.has_coe_to_sort.equations._eqn_1 0.002577 s: regular_space.cases_on 0.000490 s: monad_io_file_system.write 0.000086 s: io.fs.write 0.000077 s: buffer.append_string 0.000036 s: io.fs.put_str 0.000075 s: io.fs.put_str.equations._eqn_1 0.006660 s: is_coprime.prod_left_iff 0.000228 s: is_coprime.of_prod_left 0.000240 s: Fintype.incl 0.000410 s: Fintype.incl_obj 0.001711 s: category_theory.comma.no_confusion_type 0.001576 s: category_theory.comma.no_confusion 0.002262 s: category_theory.comma.mk.inj 0.001263 s: category_theory.comma.mk.inj_arrow 0.026631 s: Module.limit_π_linear_map.equations._eqn_1 0.000154 s: measure_theory.is_mul_right_invariant 0.003663 s: measure_theory.measure.map_mul_right_eq_self 0.005261 s: algebra.comap.algebra.equations._eqn_1 0.000370 s: continuous_map_ring._proof_8 0.003295 s: typevec.of_subtype._main.equations._eqn_2 0.001884 s: typevec.of_subtype.equations._eqn_2 0.002468 s: matrix.vec_head_vec_alt1 0.000787 s: ring_equiv.congr_arg 0.000114 s: pempty.decidable_eq 0.030321 s: emetric.pos_of_mem_ball 0.046310 s: emetric.ball_eq_empty_iff 0.000382 s: emetric.ball_zero 0.000307 s: asymptotics.is_O_bot 0.024040 s: has_fpower_series_on_ball.coeff_zero 0.004940 s: subsingleton.pi_single_eq 0.003241 s: continuous_multilinear_map.map_sub 0.008066 s: has_fpower_series_on_ball.has_sum_sub 0.011164 s: emetric.ball_prod_same 0.000400 s: summable.has_sum_iff 0.000148 s: map_cluster_pt 0.018463 s: map_cluster_pt_of_comp 0.002187 s: tendsto_nhds_of_cauchy_seq_of_subseq 0.001724 s: cauchy_seq_finset_of_summable_norm 0.013159 s: has_sum_of_subseq_of_summable 0.006410 s: has_sum_iff_tendsto_nat_of_summable_norm 0.087038 s: has_sum_geometric_of_norm_lt_1 0.139406 s: has_sum_coe_mul_geometric_of_norm_lt_1 0.000528 s: finset.nonempty.forall_const 0.000664 s: finset.sup_const 0.000653 s: edist_pi_const 0.018854 s: dist_pi_const 0.058807 s: pi_norm_const 0.007493 s: fin.nontrivial 0.000328 s: pi.sub_def 0.013414 s: continuous_multilinear_map.norm_image_sub_le 0.001133 s: asymptotics.is_O_with.const_mul_left 0.000825 s: asymptotics.is_O.const_mul_left 0.516829 s: has_fpower_series_on_ball.is_O_image_sub_image_sub_deriv_principal 0.015490 s: has_fpower_series_at.is_O_image_sub_norm_mul_norm_sub 0.150776 s: has_fpower_series_at.has_strict_fderiv_at 0.064254 s: has_fpower_series_at.has_fderiv_at 0.020772 s: has_fpower_series_at.differentiable_at 0.001911 s: analytic_at.differentiable_at 0.000677 s: prime_spectrum.zariski_topology.equations._eqn_1 0.003871 s: mul_zero_one_class.cases_on 0.000567 s: mul_zero_one_class.no_confusion_type 0.000662 s: mul_zero_one_class.no_confusion 0.001105 s: mul_zero_one_class.mk.inj 0.001057 s: mul_zero_one_class.mk.inj_arrow 0.015777 s: circle_deg1_lift.ceil_map_map_zero_le 0.000505 s: matrix.sub_down 0.000175 s: matrix.sub_down_right 0.114540 s: category_theory.limits.cocone_equivalence_op_cone_op_unit_iso 0.024276 s: is_lawful_bitraversable.cases_on 0.003004 s: is_lawful_bitraversable.no_confusion_type 0.003248 s: linear_equiv.skew_prod._proof_1 0.004427 s: linear_equiv.skew_prod._proof_2 0.001295 s: linear_map.snd_apply 0.024663 s: linear_equiv.skew_prod._proof_3 0.022800 s: linear_equiv.skew_prod._proof_4 0.012734 s: linear_equiv.skew_prod 0.003095 s: continuous_linear_equiv.skew_prod._proof_3 0.006580 s: char_p.char_is_prime_of_pos 0.000855 s: list.decidable_mem.equations._eqn_1 0.002617 s: int.mod_one 0.000111 s: nzsnum.head._main.equations._eqn_1 0.000029 s: nzsnum.head.equations._eqn_1 0.000561 s: category_theory.equalizer.first_obj_eq_family._proof_1 0.014529 s: category_theory.equalizer.first_obj_eq_family._proof_2 0.006747 s: category_theory.equalizer.first_obj_eq_family._proof_3 0.003012 s: category_theory.equalizer.first_obj_eq_family 0.002464 s: category_theory.equalizer.first_obj_eq_family.equations._eqn_1 0.000517 s: ae_measurable.const_pow 0.000180 s: nat.partrec.code.encode_code._sunfold 0.007042 s: mul_lt_mul_iff_left 0.010218 s: inv_lt_inv_iff 0.030034 s: inv_lt_inv'' 0.007172 s: ring_equiv.to_add_monoid_hom_commutes 0.003537 s: category_theory.abelian.is_limit_image'._proof_8 0.001093 s: zmod.val_min_abs._main.equations._eqn_2 0.000160 s: zmod.val_min_abs.equations._eqn_2 0.000017 s: computability.inclusion_bool_Γ' 0.000239 s: computability.encode_pos_num._main 0.000014 s: computability.encode_pos_num 0.000045 s: computability.encode_num._main 0.000011 s: computability.encode_num 0.000062 s: computability.encode_nat 0.000092 s: computability.Γ'.cases_on 0.000071 s: computability.section_Γ'_bool._main 0.000010 s: computability.section_Γ'_bool 0.000179 s: computability.left_inverse_section_inclusion 0.000087 s: computability.encode_num._main.equations._eqn_1 0.000022 s: computability.encode_num.equations._eqn_1 0.000115 s: computability.decode_num.equations._eqn_1 0.000116 s: computability.encode_num._main.equations._eqn_2 0.000033 s: computability.encode_num.equations._eqn_2 0.000096 s: computability.encode_pos_num._main.equations._eqn_1 0.000027 s: computability.encode_pos_num.equations._eqn_1 0.001102 s: computability.decode_pos_num._main.equations._eqn_3 0.000174 s: computability.decode_pos_num.equations._eqn_3 0.000186 s: computability.encode_pos_num._main.equations._eqn_2 0.000045 s: computability.encode_pos_num.equations._eqn_2 0.000341 s: computability.encode_pos_num_nonempty 0.000247 s: computability.encode_pos_num._main.equations._eqn_3 0.000044 s: computability.encode_pos_num.equations._eqn_3 0.000263 s: computability.decode_pos_num._main.equations._eqn_2 0.000039 s: computability.decode_pos_num.equations._eqn_2 0.002539 s: computability.decode_encode_pos_num 0.001155 s: computability.decode_encode_num 0.000444 s: computability.decode_encode_nat 0.000575 s: computability.encoding_nat_Γ'._proof_1 0.000195 s: computability.encoding_nat_Γ' 0.000150 s: computability.encoding_nat_Γ'.equations._eqn_1 0.034976 s: filter.map_inf_le 0.015546 s: filter.map_inf' 0.000397 s: filter.map_inf 0.002444 s: category_theory.limits.is_iso_prod 0.000109 s: category_theory.abelian.is_limit_image._proof_1 0.001084 s: category_theory.abelian.images.image.fac_assoc 0.001073 s: category_theory.abelian.images.image_ι_comp_eq_zero 0.001323 s: category_theory.abelian.is_limit_image._proof_2 0.000058 s: category_theory.abelian.is_limit_image._proof_3 0.001186 s: category_theory.abelian.is_limit_image._proof_4 0.003617 s: category_theory.abelian.is_limit_image._proof_5 0.009165 s: category_theory.abelian.is_limit_image._proof_6 0.020457 s: category_theory.abelian.is_limit_image._proof_7 0.012266 s: category_theory.abelian.is_limit_image 0.012223 s: category_theory.abelian.is_limit_image.equations._eqn_1 0.000339 s: monad_reader.sizeof 0.000405 s: monad_reader.mk.sizeof_spec 0.000166 s: AddCommGroup.comm_group.to_group.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.000656 s: galois_coinsertion.of_dual._proof_1 0.000351 s: galois_coinsertion.of_dual._proof_2 0.000632 s: galois_coinsertion.of_dual._proof_3 0.003361 s: galois_coinsertion.of_dual 0.010237 s: quadratic_form.associated_hom._proof_1 0.007346 s: quadratic_form.associated_hom._proof_2 0.007171 s: quadratic_form.associated_hom._proof_3 0.005692 s: quadratic_form.associated_hom._proof_4 0.054618 s: quadratic_form.associated_hom._proof_5 0.025961 s: quadratic_form.associated_hom 0.005644 s: quadratic_form.associated_apply 0.022475 s: quadratic_form.associated_eq_self_apply 0.000181 s: strict_order.cof._proof_1 0.000109 s: strict_order.cof 0.000327 s: ordinal.cof._match_1 0.005625 s: ordinal.cof._proof_1 0.000122 s: ordinal.cof 0.000048 s: ordinal.univ 0.000032 s: cardinal.univ 0.004370 s: ordinal.le_cof_type 0.002676 s: ordinal.cof_type_le 0.003019 s: ordinal.cof_le_card 0.001631 s: ordinal.lift_inj 0.000084 s: ordinal.lift.initial_seg._proof_1 0.000078 s: ordinal.lift.initial_seg._proof_2 0.001658 s: ordinal.lift.initial_seg._proof_3 0.000706 s: ordinal.lift.initial_seg 0.000075 s: ordinal.univ.equations._eqn_1 0.003507 s: ordinal.lift_type_lt 0.000912 s: rel_embedding.of_monotone_coe 0.000090 s: ordinal.typein.principal_seg._proof_1 0.000150 s: ordinal.typein.principal_seg._proof_2 0.001882 s: ordinal.typein.principal_seg._match_1 0.002109 s: ordinal.typein.principal_seg._proof_3 0.001162 s: ordinal.typein.principal_seg 0.009939 s: ordinal.lift.principal_seg._proof_1 0.002942 s: ordinal.lift.principal_seg 0.000650 s: ordinal.lift.principal_seg_top 0.001404 s: cardinal.ord_card_le 0.002153 s: ordinal.lift.principal_seg_coe 0.000853 s: cardinal.lift_univ 0.000187 s: cardinal.univ_umax 0.004954 s: cardinal.lift_ord 0.008017 s: cardinal.lift_succ 0.003522 s: cardinal.lift_lt_univ 0.046325 s: cardinal.lift_lt_univ' 0.049035 s: cardinal.ord_univ 0.003717 s: cardinal.lt_univ 0.000091 s: cardinal.univ_id 0.041407 s: cardinal.lt_univ' 0.002406 s: ordinal.cof_eq 0.001094 s: ordinal.lift_type 0.013702 s: ordinal.lift_cof 0.019627 s: ordinal.cof_univ 0.000340 s: continuous_linear_map.restrict_scalarsₗ._proof_1 0.000182 s: continuous_linear_map.restrict_scalarsₗ._proof_2 0.000104 s: continuous_linear_map.restrict_scalarsₗ._proof_3 0.000097 s: continuous_linear_map.restrict_scalarsₗ._proof_4 0.000168 s: continuous_linear_map.restrict_scalarsₗ._proof_5 0.000320 s: continuous_linear_map.restrict_scalarsₗ._proof_6 0.000135 s: continuous_linear_map.restrict_scalarsₗ._proof_7 0.000072 s: continuous_linear_map.restrict_scalarsₗ._proof_8 0.009065 s: continuous_linear_map.restrict_scalarsₗ._proof_9 0.011948 s: continuous_linear_map.restrict_scalarsₗ._proof_10 0.037510 s: continuous_linear_map.restrict_scalarsₗ 0.060464 s: continuous_linear_map.restrict_scalarsₗ.equations._eqn_1 0.000996 s: category_theory.with_initial.comp._main.equations._eqn_2 0.000198 s: ring_quot.comm_semiring._proof_1 0.000117 s: ring_quot.comm_semiring._proof_2 0.000098 s: ring_quot.comm_semiring._proof_3 0.005766 s: ring_quot.comm_semiring._proof_4 0.001676 s: ring_quot.comm_semiring._proof_5 0.000168 s: ring_quot.comm_semiring._proof_6 0.000142 s: ring_quot.comm_semiring._proof_7 0.000117 s: ring_quot.comm_semiring._proof_8 0.000102 s: ring_quot.comm_semiring._proof_9 0.000387 s: ring_quot.comm_semiring._proof_10 0.000275 s: ring_quot.comm_semiring._proof_11 0.000113 s: ring_quot.comm_semiring._proof_12 0.000097 s: ring_quot.comm_semiring._proof_13 0.000131 s: ring_quot.comm_semiring._proof_14 0.000238 s: ring_quot.comm_semiring._proof_15 0.004430 s: ring_quot.comm_semiring._proof_16 0.002825 s: ring_quot.comm_semiring 0.002680 s: ring_quot.comm_semiring.equations._eqn_1 0.000082 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.none.inj 0.000069 s: decidable.is_true.inj 0.000092 s: decidable.is_true.inj_arrow 0.001088 s: add_monoid_hom.map_list_sum 0.004126 s: pi.list_sum_apply 0.003074 s: list.ae_measurable_sum 0.000266 s: ae_measurable_congr 0.000923 s: measure_theory.mem_ℒp_congr_ae 0.000369 s: measure_theory.mem_ℒp.ae_eq 0.002402 s: continuous_map.continuous_of_continuous_uncurry 0.001291 s: homeomorph.prod_assoc._proof_1 0.001086 s: homeomorph.prod_assoc._proof_2 0.001057 s: homeomorph.prod_assoc 0.003262 s: coinduced_compose 0.002339 s: quotient_map.continuous_iff 0.000638 s: homeomorph.comp_continuous_iff' 0.006420 s: continuous_map.continuous_curry 0.001458 s: locally_compact_space_of_has_basis 0.000920 s: locally_compact_space.prod._match_1 0.000907 s: filter.has_basis.prod_nhds' 0.002578 s: compact_basis_nhds 0.001823 s: locally_compact_space.prod 0.000555 s: homeomorph.curry._proof_3 0.003514 s: continuous_map.continuous_uncurry 0.001320 s: homeomorph.curry 0.000745 s: differentiable_at_pow 0.000348 s: differentiable_pow 0.000247 s: differentiable_on_pow 0.000497 s: deriv_pow 0.000567 s: deriv_pow' 0.043098 s: differentiable_within_at.mul 0.004834 s: differentiable_on.mul 0.000368 s: differentiable_on_const 0.018152 s: iter_deriv_pow' 0.004436 s: iter_deriv_pow 0.370673 s: convex_on_pow 0.221300 s: real.pow_arith_mean_le_arith_mean_pow 0.083966 s: nnreal.pow_arith_mean_le_arith_mean_pow 0.022810 s: linear_ordered_comm_group.mk.inj 0.015112 s: linear_ordered_comm_group.mk.inj_arrow 0.001087 s: category_theory.comonad.ε.equations._eqn_1 0.002575 s: turing.TM2to1.st_act.cases_on 0.000454 s: turing.TM2to1.st_run._main 0.000130 s: turing.TM2to1.st_run 0.000845 s: turing.TM2to1.st_run._main.equations._eqn_3 0.000548 s: turing.TM2to1.st_run.equations._eqn_3 0.000514 s: differentiable.neg 0.001585 s: differentiable_neg_iff 0.000247 s: has_seq_right.no_confusion_type 0.000390 s: has_seq_right.no_confusion 0.000319 s: has_seq_right.mk.inj 0.000185 s: has_seq_right.mk.inj_arrow 0.002991 s: tactic_doc._1193395689 0.001213 s: is_lawful_bifunctor.bimap_bimap 0.000863 s: is_lawful_bifunctor.bimap_comp_bimap 0.001982 s: function.bicompr.is_lawful_bifunctor._proof_2 0.000186 s: real.measurable_sin 0.000040 s: side.other._main 0.000010 s: side.other 0.000158 s: side.other._main.equations._eqn_2 0.000020 s: side.other.equations._eqn_2 0.001725 s: category_theory.bundled_hom.map.equations._eqn_1 0.000102 s: computability.fin_encoding.cases_on 0.000090 s: computability.fin_encoding.no_confusion_type 0.000282 s: computability.fin_encoding.no_confusion 0.000256 s: computability.fin_encoding.mk.inj 0.054793 s: formal_multilinear_series.left_inv._main._pack.equations._eqn_2 0.000224 s: turing.fin_tm2.σ_fin 0.007201 s: tactic_doc._1332081344 0.010255 s: free_abelian_group.map_pure 0.002205 s: mvpfunctor.M.path.rec_on 0.000157 s: pos_num.of_nat_succ._main.equations._eqn_1 0.005254 s: localization.alg_equiv_of_quotient._proof_2 0.003699 s: complex.cos_square' 0.082260 s: complex.cos_three_mul 0.021252 s: category_theory.comma.map_right_map_right 0.011042 s: Mon.colimits.relation.drec_on 0.054350 s: field.to_euclidean_domain.equations._eqn_1 0.000455 s: sum.sizeof._main 0.000979 s: sum.sizeof._main.equations._eqn_1 0.000690 s: rbnode.balance2._main.equations._eqn_2 0.000405 s: rbnode.balance2.equations._eqn_2 0.000385 s: list.range_eq_nil 0.009765 s: category_theory.limits.reflects_limit_of_nat_iso.equations._eqn_1 0.004699 s: tactic_doc._1261743823 0.040241 s: category_theory.limits.has_kernel_iso_comp 0.006033 s: category_theory.limits.kernel_is_iso_comp._proof_1 0.001723 s: category_theory.limits.kernel_is_iso_comp._proof_2 0.008328 s: category_theory.limits.kernel_is_iso_comp._proof_3 0.008141 s: category_theory.limits.kernel_is_iso_comp._proof_4 0.005230 s: category_theory.limits.kernel_is_iso_comp 0.002047 s: category_theory.limits.kernel_is_iso_comp_hom 0.000266 s: tactic.dsimp_config 0.000162 s: tactic.dunfold_config 0.010937 s: linear_map.ker_prod_ker_le_ker_coprod 0.018732 s: linear_map.ker_coprod_of_disjoint_range 0.015434 s: continuous_linear_map.ker_coprod_of_disjoint_range 0.001674 s: Fintype.skeleton.incl.category_theory.full.equations._eqn_1 0.000284 s: category_theory.limits.biproduct.matrix._proof_1 0.000182 s: category_theory.limits.biproduct.matrix._proof_2 0.000134 s: category_theory.limits.biproduct.matrix._proof_3 0.000213 s: category_theory.limits.biproduct.matrix._proof_4 0.000144 s: category_theory.limits.biproduct.matrix._proof_5 0.002361 s: category_theory.limits.biproduct.matrix 0.002017 s: category_theory.limits.biproduct.matrix.equations._eqn_1 0.006476 s: category_theory.limits.biproduct.matrix_π 0.001988 s: category_theory.limits.biproduct.lift_π_assoc 0.001681 s: category_theory.Mat_.comp_def 0.000729 s: finset.sum_fn 0.282176 s: category_theory.Mat_.additive_obj_iso_biproduct_naturality 0.019337 s: category_theory.lax_monoidal_functor.map_Mon._proof_1 0.004822 s: category_theory.lax_monoidal_functor.map_Mon._proof_2 0.005541 s: category_theory.lax_monoidal_functor.map_Mon._proof_4 0.004638 s: category_theory.lax_monoidal_functor.map_Mon._proof_5 0.010380 s: category_theory.lax_monoidal_functor.map_Mon._proof_6 0.007120 s: category_theory.lax_monoidal_functor.map_Mon._proof_7 0.006081 s: category_theory.lax_monoidal_functor.map_Mon._proof_8 0.010813 s: category_theory.lax_monoidal_functor.map_Mon._proof_9 0.076745 s: category_theory.lax_monoidal_functor.map_Mon._proof_10 0.079447 s: category_theory.lax_monoidal_functor.map_Mon._proof_11 0.100563 s: category_theory.lax_monoidal_functor.map_Mon._proof_12 0.250536 s: category_theory.lax_monoidal_functor.map_Mon._proof_13 0.216137 s: category_theory.lax_monoidal_functor.map_Mon 0.020168 s: category_theory.lax_braided_functor.map_CommMon._proof_2 0.392092 s: mv_power_series.is_local_ring 0.384949 s: mv_power_series.is_local_ring.equations._eqn_1 0.023291 s: rack.envel_group.div_inv_monoid._proof_2 0.002640 s: rack.envel_group.div_inv_monoid._proof_3 0.002891 s: rack.envel_group.div_inv_monoid._proof_6 0.003181 s: rack.envel_group.div_inv_monoid._proof_7 0.003486 s: rack.envel_group.div_inv_monoid._proof_8 0.001245 s: rack.envel_group.div_inv_monoid._match_3 0.000181 s: rack.envel_group.div_inv_monoid._proof_9 0.000134 s: rack.envel_group.div_inv_monoid._proof_10 0.000232 s: rack.envel_group.div_inv_monoid._proof_11 0.000795 s: rack.envel_group.div_inv_monoid._proof_12 0.005140 s: rack.envel_group.div_inv_monoid 0.000360 s: shelf_hom.to_fun_eq_coe 0.001754 s: shelf_hom.comp._proof_1 0.000240 s: shelf_hom.comp 0.000203 s: rack.envel_group.group._proof_1 0.000104 s: rack.envel_group.group._proof_2 0.000157 s: rack.envel_group.group._proof_3 0.000469 s: rack.envel_group.group._proof_4 0.000291 s: rack.envel_group.group._proof_5 0.000913 s: rack.envel_group.group._proof_6 0.002657 s: rack.envel_group.group._proof_7 0.001930 s: rack.envel_group.group 0.000354 s: rack.to_envel_group._proof_1 0.002124 s: rack.to_envel_group 0.000381 s: shelf_hom.cases_on 0.000984 s: shelf_hom.ext 0.023486 s: rack.to_envel_group.map._proof_4 0.005725 s: vector.append._main._proof_1 0.001414 s: vector.append._main.equations._eqn_1 0.000358 s: vector.append.equations._eqn_1 0.000228 s: set.insert_nonempty 0.000197 s: set.has_insert.insert.nonempty 0.000195 s: set.has_insert.insert.nonempty.equations._eqn_1 0.000275 s: parser.static.decorate_errors 0.000124 s: parser.static.decorate_error 0.000037 s: ordnode.delta.equations._eqn_1 0.001292 s: ordnode.balance 0.004900 s: ordnode.sized.size_eq_zero 0.001799 s: ordnode.sized.eq_node' 0.001601 s: ordnode.balance_l.equations._eqn_1 0.001637 s: ordnode.balance.equations._eqn_1 0.001062 s: ordnode.sized.pos 0.048859 s: ordnode.balance_l_eq_balance 0.000590 s: ordnode.balanced_sz.equations._eqn_1 0.021899 s: ordnode.balanced_sz_zero 0.001827 s: ordnode.balanced_sz.symm 0.134631 s: ordnode.balance_eq_balance' 0.006330 s: ordnode.valid'.node 0.000924 s: ordnode.valid'.node' 0.000643 s: ordnode.valid'.node3_l 0.003097 s: ordnode.valid'.left 0.002529 s: ordnode.valid'.right 0.000178 s: ordnode.balanced_sz.dec 0.000779 s: ordnode.sized.size_eq 0.288332 s: ordnode.valid'.rotate_l_lemma₁ 0.272147 s: ordnode.valid'.rotate_l_lemma₃ 0.299127 s: ordnode.valid'.node4_l_lemma₁ 0.168826 s: ordnode.valid'.node4_l_lemma₂ 0.315283 s: ordnode.valid'.node4_l_lemma₃ 0.293807 s: ordnode.valid'.node4_l_lemma₄ 0.316077 s: ordnode.valid'.node4_l_lemma₅ 0.102947 s: ordnode.valid'.node4_l 0.234096 s: ordnode.valid'.rotate_l 0.000609 s: ordnode.valid'_nil 0.034767 s: ordnode.bounded.dual 0.000334 s: ordnode.valid'.dcases_on 0.017835 s: ordnode.valid'.dual 0.000526 s: preorder.ext 0.003276 s: order_dual.preorder.dual_dual 0.000758 s: ordnode.valid'.dual_iff 0.004110 s: ordnode.valid'.rotate_r 0.002313 s: ordnode.valid'.balance'_aux 0.306104 s: ordnode.valid'.balance_l_aux 0.292768 s: ordnode.valid'.merge_lemma 0.422566 s: ordnode.valid'.merge_aux₁ 0.081509 s: continuous_linear_map.lmul_apply 0.017287 s: prod.comm_semiring.equations._eqn_1 0.002095 s: order_of_eq_one_iff 0.002050 s: add_order_of_eq_one_iff 0.007350 s: linear_ordered_add_comm_group.sizeof 0.000126 s: linear_ordered_add_comm_group.has_sizeof_inst 0.001874 s: subfield.sizeof 0.011713 s: dfinsupp.mk_add 0.003897 s: dfinsupp.lmk._proof_1 0.019267 s: dfinsupp.mk_smul 0.011213 s: dfinsupp.lmk._proof_2 0.014860 s: dfinsupp.lmk 0.004575 s: direct_sum.lmk 0.003596 s: direct_sum.lmk.equations._eqn_1 0.000563 s: list.take_list._match_1 0.000234 s: list.take_list._match_2 0.000773 s: list.take_list._main 0.000049 s: list.take_list 0.000226 s: list.take_list._sunfold 0.000341 s: shrinking_lemma.partial_refinement.has_coe_to_fun.equations._eqn_1 0.005977 s: measure_theory.simple_func.add_group.equations._eqn_1 0.000768 s: continuous_map.abs._proof_1 0.000236 s: continuous_map.abs 0.000112 s: pnat.div.equations._eqn_1 0.005096 s: parser.mono.guard 0.007279 s: parser.mono.guard.equations._eqn_1 0.001065 s: set.mem_Ioo_or_eq_left_of_mem_Ico 0.003175 s: surj_on_Ioo_of_monotone_surjective 0.000216 s: set.surj_on_empty 0.005273 s: surj_on_Ico_of_monotone_surjective 0.012719 s: surj_on_Ioc_of_monotone_surjective 0.001184 s: open_subgroup.semilattice_sup_top._proof_4 0.022991 s: valuation.comap_comp 0.000361 s: category_theory.essentially_small.drec_on 0.000438 s: list.scanl._main 0.000077 s: list.scanl 0.005437 s: list.length_scanl 0.000570 s: vector.scanl._proof_1 0.000191 s: vector.scanl 0.003137 s: vector.ext 0.000152 s: vector.zero_subsingleton 0.001875 s: vector.scanl_nil 0.002941 s: vector.cons_head_tail 0.000767 s: vector.to_list_scanl 0.001101 s: list.scanl._main.equations._eqn_2 0.000123 s: list.scanl.equations._eqn_2 0.008212 s: vector.scanl_head 0.005483 s: set.pairwise_disjoint.range 0.001532 s: add_comm_group.int_smul_comm_class'.equations._eqn_1 0.064124 s: clifford_algebra.algebra 0.000521 s: opposite.semimodule._proof_1 0.000247 s: opposite.semimodule._proof_2 0.031389 s: opposite.semimodule._proof_3 0.011852 s: opposite.semimodule 0.008631 s: opposite.op_linear_equiv._proof_1 0.000421 s: opposite.op_smul 0.000747 s: opposite.op_linear_equiv._proof_2 0.000276 s: opposite.op_linear_equiv._proof_3 0.000211 s: opposite.op_linear_equiv._proof_4 0.005016 s: opposite.op_linear_equiv 0.023354 s: clifford_algebra.rel.drec 0.045932 s: clifford_algebra.lift._proof_1 0.117250 s: clifford_algebra.ι 0.137185 s: clifford_algebra.ι_square_scalar 0.124339 s: clifford_algebra.comp_ι_square_scalar 0.120838 s: clifford_algebra.lift._proof_2 0.119606 s: clifford_algebra.ι.equations._eqn_1 0.172740 s: clifford_algebra.lift._proof_3 0.183069 s: clifford_algebra.lift._proof_4 0.098576 s: clifford_algebra.lift 0.010289 s: opposite.coe_op_linear_equiv_to_linear_map 0.000428 s: opposite.unop_mul 0.159607 s: clifford_algebra.reverse._proof_1 0.135297 s: clifford_algebra.reverse 0.146929 s: clifford_algebra.reverse.equations._eqn_1 0.001241 s: homeomorph.to_local_homeomorph_apply 0.000360 s: finsupp.map_domain.add_monoid_hom._proof_1 0.001403 s: finsupp.map_domain.add_monoid_hom 0.001479 s: finsupp.map_domain.add_monoid_hom_id 0.000853 s: measure_theory.measure.haar.index 0.000489 s: nat.Inf_mem 0.000543 s: preimage_interior_subset_interior_preimage 0.021302 s: compact_covered_by_mul_left_translates 0.001599 s: measure_theory.measure.haar.index_defined 0.001298 s: measure_theory.measure.haar.index_elim 0.013676 s: measure_theory.measure.haar.mul_left_index_le 0.007703 s: measure_theory.measure.haar.is_left_invariant_index 0.000030 s: tactic.dsimp_config.md._default 0.000057 s: tactic.dsimp_config.md._default.equations._eqn_1 0.000365 s: con.group._proof_1 0.000205 s: con.group._proof_2 0.000259 s: con.group._proof_3 0.000637 s: con.group._proof_4 0.000374 s: con.group._proof_5 0.001153 s: con.inv 0.001161 s: con.has_inv._proof_1 0.000331 s: con.has_inv 0.000220 s: con.group._proof_6 0.000136 s: con.group._proof_7 0.000116 s: con.group._proof_8 0.000265 s: con.group._proof_9 0.000290 s: con.group._proof_10 0.000681 s: con.group._proof_11 0.001350 s: con.group._proof_12 0.003370 s: con.group 0.003603 s: semiconj_by.gpow_right 0.000232 s: commute.gpow_right 0.000219 s: commute.gpow_left 0.002835 s: fin.univ_succ 0.001677 s: ring_hom.coe_monoid_hom_injective 0.002631 s: alg_hom.coe_ring_hom_injective 0.001738 s: alg_hom.coe_monoid_hom_injective 0.023304 s: real.smooth_transition.nonneg 0.000817 s: times_cont_diff_bump_of_inner.nonneg 0.222967 s: times_cont_diff_bump.nonneg 0.063089 s: real.smooth_transition.le_one 0.000401 s: times_cont_diff_bump_of_inner.le_one 0.163181 s: times_cont_diff_bump.le_one 0.127439 s: smooth_bump_function.mem_Icc 0.112848 s: smooth_bump_function.le_one 0.000231 s: prod.comm_ring._proof_1 0.000188 s: prod.comm_ring._proof_2 0.009232 s: prod.comm_ring._proof_4 0.002040 s: prod.comm_ring._proof_5 0.002596 s: prod.comm_ring._proof_6 0.000702 s: prod.comm_ring._proof_7 0.000220 s: prod.comm_ring._proof_8 0.000197 s: prod.comm_ring._proof_9 0.000148 s: prod.comm_ring._proof_10 0.000119 s: prod.comm_ring._proof_11 0.001919 s: prod.comm_ring._proof_12 0.000753 s: prod.comm_ring._proof_13 0.000154 s: prod.comm_ring._proof_14 0.000137 s: prod.comm_ring._proof_15 0.000172 s: prod.comm_ring._proof_16 0.009276 s: prod.comm_ring 0.000329 s: ring_hom.fst._proof_1 0.000240 s: ring_hom.fst._proof_2 0.000239 s: ring_hom.fst._proof_3 0.000244 s: ring_hom.fst._proof_4 0.010720 s: ring_hom.fst 0.000253 s: prod.fst_surjective 0.000156 s: prod.snd_surjective 0.000919 s: ring_hom.coe_fst 0.252027 s: ideal.ideal_prod_eq 0.302296 s: ideal.ideal_prod_equiv._proof_1 0.277483 s: ideal.map_fst_prod 0.259763 s: ideal.map_snd_prod 0.261592 s: ideal.ideal_prod_equiv._match_1 0.148317 s: ideal.ideal_prod_equiv._proof_2 0.137007 s: ideal.ideal_prod_equiv 0.014913 s: ideal.ideal_prod_equiv_symm_apply 0.004688 s: ideal.prod.ext_iff 0.000038 s: except.return 0.001928 s: except.monad 0.000413 s: except_t.monad_writer._match_1 0.004727 s: finset.le_sup_iff 0.000726 s: strict_mono_incr_on.dual 0.000117 s: free_magma.lift._proof_1 0.000610 s: mul_hom.coe_mk 0.000535 s: free_magma.lift_aux._main.equations._eqn_1 0.000089 s: free_magma.lift_aux.equations._eqn_1 0.003661 s: free_magma.lift._proof_2 0.003160 s: free_magma.lift._proof_3 0.001234 s: free_magma.lift 0.000907 s: free_magma.monad 0.001456 s: free_magma.pure_seq 0.004732 s: category_theory.limits.has_terminal_of_unique 0.000251 s: category_theory.limits.has_zero_object.has_terminal 0.000033 s: std.prec.arrow 0.000030 s: std.prec.arrow.equations._eqn_1 0.001344 s: fin.cast_le_zero 0.000168 s: list.has_sizeof.equations._eqn_1 0.000187 s: set.nonempty_Ici_subtype 0.003268 s: tensor_algebra.ring_quot_mk_alg_hom_free_algebra_ι_eq_ι 0.001606 s: set.indicator_congr 0.000758 s: set.indicator_apply_eq_self 0.000993 s: set.indicator_eq_self 0.000170 s: set.indicator_support 0.000940 s: set.indicator_add_eq_left 0.001116 s: nnnorm_indicator_eq_indicator_nnnorm 0.013100 s: measure_theory.measure.restrict_add_restrict_compl 0.006698 s: measure_theory.ae_add_measure_iff 0.010030 s: piecewise_ae_eq_restrict_compl 0.000829 s: indicator_ae_eq_restrict_compl 0.000919 s: measure_theory.measure.restrict_le_self 0.003171 s: measure_theory.ae_measurable_indicator_iff 0.002308 s: measure_theory.integrable_indicator_iff 0.000526 s: measure_theory.integrable_on.indicator 0.000487 s: measure_theory.integrable.integrable_on 0.000357 s: measure_theory.integrable.indicator 0.002206 s: measurable_set_support 0.001743 s: set.indicator_add_eq_right 0.003594 s: measure_theory.integrable_add 0.001708 s: finset.piecewise_le_piecewise' 0.001884 s: multiples_add_hom._proof_3 0.000319 s: list.erasep._main.equations._eqn_1 0.000096 s: list.erasep.equations._eqn_1 0.093478 s: has_fderiv_within_at.ccos 0.103952 s: fderiv_within_ccos 0.000450 s: eqv_gen.rec_on 0.000580 s: quot.eqv_gen_sound 0.000223 s: quot.eq 0.001321 s: category_theory.limits.types.quot.rel.equations._eqn_1 0.000609 s: category_theory.limits.types.filtered_colimit.r 0.012764 s: relation.eqv_gen_iff_of_equivalence 0.000655 s: category_theory.is_filtered_or_empty.cocone_objs 0.000422 s: category_theory.is_filtered_or_empty.cocone_maps 0.012896 s: category_theory.limits.types.filtered_colimit.r_equiv 0.002230 s: relation.eqv_gen_mono 0.003250 s: category_theory.limits.types.filtered_colimit.r_ge 0.014725 s: category_theory.limits.types.filtered_colimit.r_eq 0.007162 s: category_theory.limits.types.filtered_colimit.colimit_eq_iff_aux 0.010510 s: category_theory.limits.types.filtered_colimit.is_colimit_eq_iff 0.003468 s: category_theory.limits.types.filtered_colimit.colimit_eq_iff 0.000230 s: category_theory.is_filtered 0.000067 s: category_theory.is_filtered.to_is_filtered_or_empty 0.002340 s: topological_space.open_nhds.lattice._proof_1 0.000383 s: topological_space.open_nhds.partial_order._proof_1 0.000538 s: topological_space.open_nhds.partial_order._proof_2 0.000458 s: topological_space.open_nhds.partial_order._proof_3 0.007470 s: topological_space.open_nhds.partial_order 0.000160 s: topological_space.open_nhds.lattice._proof_2 0.000151 s: topological_space.open_nhds.lattice._proof_3 0.000892 s: topological_space.open_nhds.lattice._proof_4 0.000402 s: topological_space.open_nhds.lattice._proof_5 0.000658 s: topological_space.open_nhds.lattice._proof_6 0.000460 s: topological_space.open_nhds.lattice._proof_7 0.000544 s: topological_space.open_nhds.lattice._proof_8 0.001296 s: topological_space.open_nhds.lattice._proof_9 0.000610 s: topological_space.open_nhds.lattice._proof_10 0.000443 s: topological_space.open_nhds.lattice._proof_11 0.000782 s: topological_space.open_nhds.lattice._proof_12 0.038822 s: topological_space.open_nhds.lattice 0.000253 s: topological_space.open_nhds.inf_le_left._proof_1 0.028260 s: topological_space.open_nhds.inf_le_left 0.000204 s: topological_space.open_nhds.inf_le_right._proof_1 0.021518 s: topological_space.open_nhds.inf_le_right 0.000133 s: topological_space.open_nhds.order_top._proof_1 0.000128 s: topological_space.open_nhds.order_top._proof_2 0.003761 s: topological_space.open_nhds.order_top._proof_3 0.000445 s: topological_space.open_nhds.order_top._proof_4 0.000460 s: topological_space.open_nhds.order_top._proof_5 0.007567 s: topological_space.open_nhds.order_top 0.111557 s: topological_space.open_nhds.open_nhds_is_filtered 0.048665 s: Top.presheaf.germ_eq 0.012499 s: Top.presheaf.sheaf_condition_equalizer_products.fork_ι 0.005484 s: Top.presheaf.res_π_apply 0.016836 s: Top.sheaf.eq_of_locally_eq 0.048737 s: Top.sheaf.eq_of_locally_eq' 0.032293 s: Top.presheaf.section_ext 0.019853 s: Top.presheaf.stalk_functor_map_germ 0.008503 s: Top.presheaf.stalk_functor_map_germ_apply 0.005109 s: Top.presheaf.app_injective_of_stalk_functor_map_injective 0.005542 s: category_theory.limits.types.jointly_surjective 0.021575 s: Top.presheaf.germ_exist 0.022090 s: Top.presheaf.germ_res_apply 0.023576 s: Top.presheaf.stalk_functor_map_injective_of_app_injective 0.005508 s: Top.presheaf.app_injective_iff_stalk_functor_map_injective 0.001092 s: set.Ici.semilattice_sup_bot._proof_7 0.000148 s: convex_cone.to_ordered_add_comm_group._proof_1 0.000125 s: convex_cone.to_ordered_add_comm_group._proof_2 0.000086 s: convex_cone.to_ordered_add_comm_group._proof_3 0.000597 s: convex_cone.to_ordered_add_comm_group._proof_5 0.000613 s: convex_cone.to_ordered_add_comm_group._proof_6 0.000576 s: convex_cone.to_ordered_add_comm_group._proof_7 0.000139 s: convex_cone.to_ordered_add_comm_group._proof_8 0.000213 s: convex_cone.to_ordered_add_comm_group._proof_9 0.000189 s: convex_cone.to_ordered_add_comm_group._proof_10 0.000548 s: convex_cone.to_ordered_add_comm_group._proof_11 0.021034 s: convex_cone.to_ordered_add_comm_group._proof_13 0.006492 s: convex_cone.to_ordered_add_comm_group 0.009074 s: associates.ufm.equations._eqn_1 0.000114 s: commute.symm_iff 0.177608 s: is_scalar_tower.subring.equations._eqn_1 0.030013 s: category_theory.nat_trans.pi._proof_1 0.007581 s: category_theory.nat_trans.pi 0.004141 s: category_theory.nat_trans.pi.equations._eqn_1 0.000178 s: order.pfilter.cases_on 0.000140 s: order.pfilter.no_confusion_type 0.000420 s: order.pfilter.no_confusion 0.000228 s: order.pfilter.mk.inj 0.001527 s: category_theory.limits.is_limit_map_cone_fork_equiv._proof_1 0.001502 s: category_theory.limits.is_limit_map_cone_fork_equiv._proof_2 0.002667 s: category_theory.limits.diagram_iso_parallel_pair_hom_app 0.042979 s: category_theory.limits.is_limit_map_cone_fork_equiv._proof_3 0.021098 s: category_theory.limits.is_limit_map_cone_fork_equiv 0.003496 s: category_theory.limits.is_limit_fork_map_of_is_limit 0.004343 s: vector.perm.is_setoid._proof_1 0.000171 s: turing.TM0.stmt.no_confusion_type 0.003020 s: perfection_map.map 0.003489 s: perfection_map.comp_map 0.000138 s: ordnode.split_at_aux._match_3 0.000225 s: ordnode.split_at_aux._match_3.equations._eqn_1 0.000949 s: state_t.run_pure 0.000040 s: semilattice_sup_bot.lt._default 0.000037 s: generalized_boolean_algebra.lt._default 0.000040 s: boolean_algebra.lt._default 0.000035 s: complete_boolean_algebra.lt._default 0.000078 s: complete_boolean_algebra.lt._default.equations._eqn_1 0.002149 s: affine_map.id.equations._eqn_1 0.000213 s: pfunctor.W.head._sunfold 0.000973 s: rbnode.mem._main 0.000029 s: rbnode.mem 0.001020 s: rbnode.mem._main.equations._eqn_3 0.000193 s: rbnode.mem.equations._eqn_3 0.001071 s: lie_submodule.coe_submodule.equations._eqn_1 0.000336 s: continuous_map_ring._proof_11 0.001184 s: set.pi_inter_compl 0.003648 s: set.pi_univ_Ioc_update_right 0.000904 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_6 0.000772 s: regular_expression.matches._main.equations._eqn_1 0.000069 s: with_zero.inhabited 0.002973 s: subsemiring.map_le_iff_le_comap 0.002055 s: subsemiring.mem_comap 0.003646 s: ring_hom.sclosure_preimage_le 0.001500 s: ring_hom.map_sclosure 0.000045 s: implies.equations._eqn_1 0.000443 s: submonoid.closure_mono 0.002942 s: subgroup.inv_subset_closure 0.008965 s: subgroup.closure_to_submonoid 0.001083 s: omega.int.preform.fresh_index._main 0.001928 s: omega.int.preform.fresh_index._main.equations._eqn_5 0.003168 s: CommMon_.forget₂_Mon_map_hom 0.001377 s: category_theory.equalizer.sieve.first_map._proof_2 0.000104 s: category_theory.limits.has_finite_products_of_has_products 0.000390 s: category_theory.functor.limits.has_finite_products 0.000262 s: category_theory.functor.cartesian_closed._proof_1 0.000120 s: category_theory.functor.cartesian_closed._proof_2 0.000353 s: category_theory.functor_category.prod_preserves_colimits._proof_1 0.000106 s: category_theory.sort.limits.has_finite_products 0.000149 s: category_theory.functor.cartesian_closed._proof_3 0.000194 s: category_theory.functor_category.prod_preserves_colimits._proof_2 0.026332 s: category_theory.limits.comp_preserves_colimit 0.002366 s: category_theory.limits.evaluation_preserves_colimits_of_shape._proof_1 0.002364 s: category_theory.limits.evaluation_preserves_colimits_of_shape._proof_2 0.001216 s: category_theory.limits.evaluation_preserves_colimits_of_shape._proof_3 0.000652 s: category_theory.limits.evaluation_preserves_colimits_of_shape._proof_4 0.029086 s: category_theory.limits.evaluation_preserves_colimits_of_shape 0.027735 s: category_theory.functor.functoriality_comp_precompose._proof_1 0.071603 s: category_theory.functor.functoriality_comp_precompose._proof_2 0.016183 s: category_theory.functor.functoriality_comp_precompose 0.003182 s: category_theory.functor.precompose_whisker_left_map_cocone 0.007457 s: category_theory.limits.is_colimit.map_cocone_equiv 0.000278 s: category_theory.functor_category.prod_preserves_colimits._proof_3 0.000653 s: category_theory.functor_category.prod_preserves_colimits._proof_4 0.000252 s: category_theory.functor_category.prod_preserves_colimits._proof_5 0.000398 s: category_theory.functor_category.prod_preserves_colimits._proof_6 0.000450 s: category_theory.limits.evaluation_preserves_limits_of_shape._proof_1 0.000386 s: category_theory.limits.evaluation_preserves_limits_of_shape._proof_2 0.000401 s: category_theory.limits.evaluation_preserves_limits_of_shape._proof_3 0.000333 s: category_theory.limits.evaluation_preserves_limits_of_shape._proof_4 0.027821 s: category_theory.limits.evaluation_preserves_limits_of_shape 0.004823 s: category_theory.functor_category.prod_preserves_colimits._proof_7 0.004680 s: category_theory.functor_category.prod_preserves_colimits._proof_8 0.090723 s: category_theory.functor_category.prod_preserves_colimits 0.000139 s: category_theory.functor.cartesian_closed._proof_4 0.000743 s: category_theory.obj.limits.preserves_colimits 0.000083 s: category_theory.functor.cartesian_closed._proof_5 0.000066 s: category_theory.functor.cartesian_closed._proof_6 0.000034 s: category_theory.sort.cartesian_closed._proof_1 0.000032 s: category_theory.sort.cartesian_closed._proof_2 0.000763 s: category_theory.adjunction.left_adjoint_of_nat_iso 0.009558 s: category_theory.limits.types.binary_product_functor._proof_1 0.002338 s: category_theory.limits.types.binary_product_functor._proof_2 0.002915 s: category_theory.limits.types.binary_product_functor._proof_3 0.000938 s: category_theory.limits.types.binary_product_functor._proof_4 0.001595 s: category_theory.limits.types.binary_product_functor._proof_5 0.000809 s: category_theory.limits.types.binary_product_functor._proof_6 0.016054 s: category_theory.limits.types.binary_product_functor._proof_7 0.048662 s: category_theory.limits.types.binary_product_functor._proof_8 0.039578 s: category_theory.limits.types.binary_product_functor._proof_9 0.038140 s: category_theory.limits.types.binary_product_functor 0.000260 s: category_theory.limits.types.binary_product_iso_prod._proof_1 0.000059 s: category_theory.limits.types.binary_product_iso_prod._proof_2 0.000253 s: category_theory.limits.types.binary_product_iso_prod._proof_3 0.000151 s: category_theory.limits.types.binary_product_iso_prod._proof_4 0.007767 s: category_theory.limits.types.binary_product_functor_obj_map 0.007320 s: category_theory.limits.is_limit.cone_point_unique_up_to_iso_inv_comp 0.004302 s: category_theory.limits.is_limit.lift_comp_cone_point_unique_up_to_iso_inv 0.000801 s: category_theory.limits.limit.is_limit_lift 0.001588 s: category_theory.limits.limit.cone_point_unique_up_to_iso_inv_comp 0.001930 s: category_theory.limits.types.binary_product_cone_fst 0.006023 s: category_theory.limits.limit.cone_point_unique_up_to_iso_inv_comp_assoc 0.002259 s: category_theory.limits.types.binary_product_cone_snd 0.017433 s: category_theory.limits.types.binary_product_iso_prod._proof_5 0.015675 s: category_theory.limits.types.binary_product_functor_map_app 0.005101 s: category_theory.nat_iso.of_components.hom_app 0.010419 s: category_theory.limits.prod.functor_map_app 0.064131 s: category_theory.limits.types.binary_product_iso_prod._proof_6 0.012780 s: category_theory.limits.types.binary_product_iso_prod 0.000655 s: category_theory.obj.is_left_adjoint._proof_1 0.000232 s: category_theory.obj.is_left_adjoint._proof_2 0.003754 s: category_theory.obj.is_left_adjoint._proof_3 0.004820 s: category_theory.obj.is_left_adjoint._proof_4 0.081078 s: category_theory.obj.is_left_adjoint._proof_5 0.029374 s: category_theory.obj.is_left_adjoint._proof_6 0.022167 s: category_theory.obj.is_left_adjoint 0.015735 s: category_theory.sort.cartesian_closed 0.002265 s: category_theory.equivalence.fun_inv_id_assoc 0.012621 s: category_theory.equivalence.fun_inv_id_assoc_inv_app 0.122462 s: category_theory.equivalence.congr_left._proof_1 0.199951 s: category_theory.equivalence.congr_left._proof_2 0.043651 s: category_theory.equivalence.congr_left 0.001824 s: category_theory.unop_unop._proof_1 0.002182 s: category_theory.unop_unop._proof_2 0.003260 s: category_theory.unop_unop 0.027418 s: category_theory.op_op_equivalence._proof_1 0.010984 s: category_theory.op_op_equivalence 0.024569 s: category_theory.nat_iso_of_nat_iso_on_representables 0.000681 s: category_theory.colimit_adj.extend_along_yoneda.category_theory.limits.preserves_colimits 0.000547 s: category_theory.colimit_adj.is_extension_along_yoneda._proof_1 0.001027 s: category_theory.colimit_adj.elements.initial 0.007515 s: category_theory.colimit_adj.is_initial._proof_1 0.010460 s: category_theory.colimit_adj.is_initial._proof_2 0.019958 s: category_theory.colimit_adj.is_initial._proof_3 0.010718 s: category_theory.colimit_adj.is_initial 0.000957 s: category_theory.colimit_adj.is_extension_along_yoneda._proof_2 0.003792 s: category_theory.limits.cocone_of_diagram_terminal_ι_app 0.010627 s: category_theory.limits.colimit_of_diagram_terminal._proof_2 0.002695 s: category_theory.limits.colimit_of_diagram_terminal 0.077129 s: category_theory.colimit_adj.is_extension_along_yoneda._proof_3 0.014879 s: category_theory.colimit_adj.is_extension_along_yoneda 0.004162 s: category_theory.unique_extension_along_yoneda 0.001708 s: category_theory.is_left_adjoint_of_preserves_colimits_aux 0.001221 s: category_theory.limits.comp_preserves_colimits_of_shape 0.001157 s: category_theory.limits.comp_preserves_colimits 0.001180 s: category_theory.adjunction.left_adjoint_of_comp 0.001712 s: category_theory.is_left_adjoint_of_preserves_colimits 0.000308 s: category_theory.functor.cartesian_closed._proof_7 0.000269 s: category_theory.functor.cartesian_closed._proof_8 0.012833 s: category_theory.functor.cartesian_closed 0.013043 s: category_theory.functor.cartesian_closed.equations._eqn_1 0.000654 s: category_theory.over_to_coalgebra._proof_7 0.000703 s: psigma.sizeof._main.equations._eqn_1 0.000290 s: psigma.sizeof.equations._eqn_1 0.000391 s: category_theory.grothendieck_topology.covers 0.000400 s: category_theory.grothendieck_topology.covers_iff 0.003140 s: category_theory.sieve.pullback_eq_top_iff_mem 0.001490 s: category_theory.grothendieck_topology.bot_covers 0.000218 s: bifunctor.flip 0.000174 s: flip.bitraverse 0.000127 s: bitraversable.flip 0.004319 s: is_lawful_bitraversable.flip._proof_2 0.000045 s: slim_check.and_counter_example 0.000198 s: slim_check.and_testable 0.000051 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.node 0.000029 s: _nest_2_1.tactic.rewrite_search.dir_pair._nest_1_1.tactic.rewrite_search.using_conv.app_addr.mk 0.000072 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.pack 0.000014 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.pack_0_0 0.000021 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.node 0.000062 s: tactic.rewrite_search.using_conv.app_addr.primitive.pack 0.000051 s: tactic.rewrite_search.using_conv.app_addr.nested.pack_0_0_0 0.000017 s: tactic.rewrite_search.using_conv.app_addr.pack_0_0 0.000017 s: tactic.rewrite_search.using_conv.app_addr.node 0.005670 s: linear_ordered_cancel_add_comm_monoid.sizeof 0.000103 s: linear_ordered_cancel_add_comm_monoid.has_sizeof_inst 0.000493 s: mvqpf.sigma.mvfunctor._match_1 0.001540 s: con.pi._proof_2 0.000196 s: seq.append.equations._eqn_1 0.000355 s: gpowers_mul_hom._proof_2 0.000391 s: set.image_factorization._proof_1 0.000652 s: set.image_factorization 0.001233 s: set.image_factorization.equations._eqn_1 0.000051 s: game 0.000543 s: game.add._proof_1 0.000206 s: game.add 0.000045 s: game.has_add 0.000083 s: pgame.add_comm_equiv 0.000575 s: game.add_comm 0.000395 s: order.sequence_of_cofinals._main.equations._eqn_1 0.000146 s: order.sequence_of_cofinals.equations._eqn_1 0.000220 s: normed_field.nnnorm_hom._proof_1 0.003382 s: nnnorm_one 0.001751 s: normed_field.nnnorm_hom._proof_2 0.046625 s: normed_field.nnnorm_mul 0.017325 s: normed_field.nnnorm_hom 0.082806 s: normed_field.nnnorm_div 0.024893 s: multilinear_map.uncurry_right.equations._eqn_1 0.797224 s: times_cont_mdiff_coe_sphere 0.312966 s: times_cont_mdiff_neg_sphere 0.000070 s: pos_num.inhabited 0.000057 s: pos_num.inhabited.equations._eqn_1 0.000125 s: fin_zero_equiv'.equations._eqn_1 0.000099 s: hyperreal.equations._eqn_1 0.000790 s: has_lt.lt.decidable.equations._eqn_1 0.042123 s: category_theory.uncurry_natural_left 0.004927 s: category_theory.uncurry_natural_left_assoc 0.004073 s: category_theory.monoidal.right_unitor_hom_apply 0.190050 s: Module.free.obj.category_theory.lax_monoidal._proof_4 0.000104 s: computability.encode_num._sunfold 0.000349 s: nzsnum.not._main 0.000038 s: nzsnum.not 0.000142 s: snum.not._main 0.000011 s: snum.not 0.000032 s: nzsnum.has_one 0.000055 s: snum.has_one 0.000044 s: snum.has_zero 0.000058 s: snum.pred 0.000048 s: snum.succ 0.000064 s: snum.czadd._main 0.000193 s: rbtree.mem 0.000739 s: rbmap.mem._match_1 0.001529 s: rbmap.mem._match_1.equations._eqn_2 0.021137 s: multiset.pmap_zero 0.007467 s: fin.succ_le_succ_iff 0.004312 s: fin.pred_le_pred_iff 0.000570 s: omega.nat.is_nnf._main.equations._eqn_8 0.000082 s: omega.nat.is_nnf.equations._eqn_8 0.000233 s: prod.has_well_founded._proof_1 0.000103 s: prod.has_well_founded 0.000163 s: prod.has_well_founded.equations._eqn_1 0.000018 s: slim_check.tactic.decorations_of 0.000086 s: slim_check.slim_check_cfg.num_inst 0.000027 s: slim_check.slim_check_cfg.max_size 0.000153 s: when 0.000031 s: slim_check.slim_check_cfg.trace_success 0.000035 s: trace 0.000394 s: slim_check.retry._match_1 0.000331 s: slim_check.retry._main 0.000025 s: slim_check.retry 0.003925 s: slim_check.testable.run_suite_aux._main 0.000064 s: slim_check.testable.run_suite_aux 0.000129 s: slim_check.testable.run_suite 0.000158 s: io.run_rand_with 0.000417 s: slim_check.testable.check._match_1 0.000489 s: slim_check.testable.check._match_1.equations._eqn_1 0.002654 s: alg_equiv.has_one.equations._eqn_1 0.001176 s: tactic_doc._1763323656 0.000762 s: category_theory.is_reflexive_pair.common_section 0.000404 s: category_theory.common_section 0.001010 s: category_theory.section_comp_right 0.014429 s: complex.sin_pi_div_two_sub 0.000052 s: ordnode.find_ge_aux._match_1 0.001827 s: ordnode.find_ge_aux._main 0.000050 s: ordnode.find_ge_aux 0.000123 s: ordnode.find_ge._match_1 0.001033 s: ordnode.find_ge._main 0.000066 s: ordnode.find_ge 0.000196 s: ordnode.find_ge._sunfold 0.003131 s: continuous_linear_map.map_tsum 0.005937 s: is_coatomic.set.Ici.is_coatomic._match_2 0.000598 s: is_coatomic.set.Ici.is_coatomic 0.000688 s: tactic.itauto.proof.and_left.inj 0.000155 s: tactic.itauto.proof.and_left.inj_arrow 0.000234 s: fp.float.is_zero._main 0.000374 s: fp.float.is_zero._main.equations._eqn_4 0.000317 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_8 0.028811 s: category_theory.equivalence.trans_unit_iso 0.000360 s: simple_graph.loopless 0.000208 s: simple_graph.ne_of_adj 0.000485 s: simple_graph.not_mem_common_neighbors_right 0.000669 s: simple_graph.mem_neighbor_finset 0.000194 s: simple_graph.neighbor_finset.equations._eqn_1 0.006566 s: set.to_finset_mono 0.003073 s: set.subset_iff_to_finset_subset 0.000246 s: simple_graph.common_neighbors.equations._eqn_1 0.000599 s: simple_graph.common_neighbors_subset_neighbor_set 0.003570 s: simple_graph.adj.card_common_neighbors_lt_degree 0.005996 s: is_R_or_C.conj_lm._proof_1 0.007898 s: is_R_or_C.conj_eq_re_sub_im 0.008038 s: is_R_or_C.of_real_mul_im 0.106281 s: is_R_or_C.smul_im 0.173118 s: is_R_or_C.conj_smul 0.107643 s: is_R_or_C.conj_lm 0.080536 s: is_R_or_C.conj_lm.equations._eqn_1 0.000277 s: preorder_hom.order_bot._proof_1 0.000257 s: turing.partrec_to_TM2.Λ'.below 0.016647 s: turing.partrec_to_TM2.Λ'.brec_on 0.000977 s: list.to_finset_eq 0.001605 s: list.to_finset_surj_on 0.000548 s: onote.sub._main 0.000023 s: onote.sub 0.000273 s: zorn.chain_closure.rec_on 0.000066 s: tactic.itauto.prop.false.sizeof_spec 0.000850 s: Top.presheaf.sheaf_condition_equalizer_products.pi_inters.equations._eqn_1 0.005464 s: mul_equiv.to_Mon_iso._proof_1 0.003615 s: submodule.prod_map_fst 0.001114 s: category_theory.comonad.coalgebra.hom.sizeof 0.001477 s: category_theory.comonad.coalgebra.hom.mk.sizeof_spec 0.001680 s: category_theory.limits.binary_fan.braiding.equations._eqn_1 0.002521 s: filter.seq._match_5.equations._eqn_1 0.004304 s: finset.sum_Ico_reflect 0.027553 s: nat.sum_range_choose 0.273746 s: nat.sum_range_choose_halfway 0.000545 s: quadratic_form.pos_def 0.000301 s: turing.partrec_to_TM2.nat_end._main.equations._eqn_2 0.000423 s: continuous_map.id_apply 0.028015 s: category_theory.limits.image_factorisation_zero._proof_1 0.000949 s: category_theory.limits.image_factorisation_zero 0.000216 s: category_theory.limits.has_image_zero 0.001208 s: tactic_doc._356496754 0.000097 s: real.topological_space.second_countable_topology.equations._eqn_1 0.000313 s: filter.realizer.of_eq.equations._eqn_1 0.001102 s: category_theory.with_initial.lift_star._proof_1 0.001340 s: category_theory.with_initial.lift_star 0.001983 s: category_theory.with_initial.lift_star_hom 0.000110 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_12 0.000139 s: stream.apply 0.000050 s: stream.pure 0.000513 s: stream.identity 0.008160 s: localization_map.order_iso_of_prime._proof_3 0.000652 s: tactic_doc._606178395 0.000395 s: is_left_cancel 0.066933 s: intermediate_field.lifts.upper_bound_alg_hom.equations._eqn_1 0.216711 s: tensor_product.lie_module.lift.equations._eqn_1 0.000123 s: pnat.xgcd_type.flip_x 0.017680 s: dfinsupp.filter._proof_1 0.000033 s: computability.Γ'.comma.inj 0.004049 s: category_theory.limits.pullback_comparison._proof_1 0.003207 s: category_theory.limits.pullback_comparison 0.005627 s: category_theory.limits.pullback_comparison_comp_fst 0.002857 s: category_theory.limits.pullback_comparison_comp_snd 0.007560 s: category_theory.limits.map_lift_pullback_comparison 0.000365 s: magma.free_semigroup.r.cases_on 0.000247 s: category_theory.limits.limit_functorial._proof_1 0.003639 s: star_algebra 0.000807 s: star_algebra.star_smul 0.001071 s: star_smul 0.005905 s: category_theory.comma_morphism.mk.inj_arrow 0.008755 s: category_theory.comma_morphism.ext_iff 0.021217 s: polynomial.leading_coeff_prod' 0.027101 s: polynomial.nat_degree_prod' 0.038647 s: polynomial.nat_degree_prod 0.001316 s: list.append_ne_nil_of_ne_nil_left 0.000788 s: list.append_ne_nil_of_ne_nil_right 0.000567 s: list.decidable_infix._match_1 0.000158 s: list.decidable_prefix 0.000349 s: list.decidable_infix._match_2 0.000196 s: list.decidable_infix._match_3 0.011718 s: list.infix_iff_prefix_suffix 0.001624 s: list.decidable_infix._main 0.000047 s: list.decidable_infix._main._proof_2 0.000672 s: list.decidable_infix._main.equations._eqn_2 0.000144 s: generalized_continued_fraction.int_fract_pair.sizeof 0.000061 s: generalized_continued_fraction.int_fract_pair.has_sizeof_inst 0.001287 s: measure_theory.measure.finite_spanning_sets_in.sizeof 0.010682 s: continuous_multilinear_map.uncurry_sum._proof_4 0.001981 s: has_fderiv_at.add_const 0.001120 s: differentiable_at.add_const 0.000391 s: differentiable.add_const 0.000838 s: ctop.cases_on 0.002750 s: ctop.of_equiv._main 0.000054 s: ctop.of_equiv 0.002252 s: ctop.of_equiv_val 0.001682 s: ctop.realizer.of_equiv._match_2 0.002755 s: ctop.realizer.of_equiv._match_2.equations._eqn_1 0.002132 s: d_array.beq_aux._main 0.000087 s: d_array.beq_aux 0.003883 s: sesq_form.has_add.equations._eqn_1 0.000068 s: vm_obj_kind.simple.inj 0.000030 s: vm_obj_kind.simple.inj_arrow 0.007215 s: Semigroup.forget_reflects_isos 0.007984 s: Semigroup.forget_reflects_isos.equations._eqn_1 0.002182 s: category_theory.liftable_cone.rec_on 0.000832 s: monoid_hom.of_mdense.equations._eqn_1 0.005951 s: list.mem_lookup_kunion 0.002054 s: list.mem_lookup_kunion_middle 0.009781 s: ennreal.to_nnreal_add 0.014055 s: ennreal.to_nnreal_bit0 0.010318 s: ennreal.to_nnreal_bit1 0.000266 s: environment.implicit_infer_kind 0.000032 s: environment.implicit_infer_kind.none.inj 0.000589 s: function.surjective.semigroup.equations._eqn_1 0.002068 s: list.lex.cases_on 0.001652 s: tactic.ring2.csring_expr.brec_on 0.000044 s: tree.get 0.000072 s: tree.get_or_else 0.000050 s: tree.get_or_zero 0.001266 s: tactic.ring2.csring_expr.eval._main 0.000042 s: tactic.ring2.csring_expr.eval 0.002752 s: tactic.ring2.csring_expr.eval._main.equations._eqn_3 0.000227 s: tactic.ring2.csring_expr.eval.equations._eqn_3 0.033333 s: set.preimage_const_mul_Iic 0.003345 s: set.preimage_const_mul_Ioc 0.000055 s: order_dual.measurable_space 0.045899 s: polynomial.cyclotomic' 0.007019 s: polynomial.lifts_iff_set_range 0.006644 s: polynomial.monomial_mem_lifts_and_degree_eq 0.003854 s: polynomial.monomial_mem_lifts 0.001293 s: polynomial.lifts_iff_coeff_lifts 0.000606 s: finsupp.card_support_eq_zero 0.002224 s: list.length_eq_one 0.002230 s: multiset.card_eq_one 0.000763 s: finset.singleton_val 0.001621 s: finset.card_eq_one 0.002054 s: finsupp.eq_single_iff 0.000086 s: finset.subset_of_eq 0.001180 s: finsupp.support_eq_singleton 0.001356 s: finsupp.support_eq_singleton' 0.000599 s: finsupp.card_support_eq_one' 0.060464 s: polynomial.monomial_nat_degree_leading_coeff_eq_self 0.008023 s: polynomial.C_mul_X_pow_eq_self 0.000322 s: polynomial.erase_lead.equations._eqn_1 0.002496 s: finsupp.erase_single 0.007125 s: polynomial.erase_lead_monomial 0.001234 s: polynomial.erase_lead_C_mul_X_pow 0.000770 s: polynomial.nat_degree_not_mem_erase_lead_support 0.000208 s: polynomial.ne_nat_degree_of_mem_erase_lead_support 0.000494 s: polynomial.card_support_eq_zero 0.001886 s: finset.pred_card_le_card_erase 0.009333 s: polynomial.erase_lead_ne_zero 0.002698 s: polynomial.erase_lead_nat_degree_lt 0.002637 s: polynomial.erase_lead_nat_degree_lt_or_erase_lead_eq_zero 0.002844 s: polynomial.erase_mem_lifts 0.014855 s: polynomial.mem_lifts_and_degree_eq 0.000160 s: polynomial.monic_of_subsingleton 0.013909 s: polynomial.lifts_and_degree_eq_and_monic 0.042284 s: polynomial.cyclotomic'.equations._eqn_1 0.000506 s: finset.empty_val 0.008222 s: is_primitive_root.primitive_roots_zero 0.057276 s: polynomial.cyclotomic'_zero 0.007388 s: finset.eq_singleton_iff_unique_mem 0.015735 s: is_primitive_root.primitive_roots_one 0.041655 s: polynomial.cyclotomic'_one 0.000153 s: nat.proper_divisors 0.009164 s: subsemiring.prod_mem 0.000151 s: nat.proper_divisors.equations._eqn_1 0.005778 s: nat.mem_proper_divisors 0.062577 s: polynomial.cyclotomic'.monic 0.013662 s: finset.prod_multiset_map_count 0.259435 s: polynomial.prod_multiset_root_eq_finset_root 0.240957 s: polynomial.prod_multiset_X_sub_C_dvd 0.000288 s: associated.equations._eqn_1 0.336410 s: polynomial.prod_multiset_X_sub_C_of_monic_of_roots_card_eq 0.050713 s: polynomial.nat_degree_X_pow_sub_C 0.228534 s: polynomial.X_pow_sub_one_eq_prod 0.000936 s: is_primitive_root.nth_roots_one_eq_bUnion_primitive_roots 0.343689 s: polynomial.prod_cyclotomic'_eq_X_pow_sub_one 0.030403 s: finset.filter_insert 0.003592 s: nat.divisors_eq_proper_divisors_insert_self_of_pos 0.457039 s: polynomial.int_coeff_of_cyclotomic 0.091370 s: polynomial.cyclotomic._proof_1 0.069576 s: polynomial.cyclotomic 0.078816 s: polynomial.cyclotomic.equations._eqn_1 0.075593 s: polynomial.int_cyclotomic_rw 0.078079 s: polynomial.map_cyclotomic_int 0.000237 s: multiset.has_decidable_eq._main._proof_1 0.000110 s: multiset.has_decidable_eq._main._proof_2 0.018240 s: multiset.has_decidable_eq._main.equations._eqn_1 0.000612 s: multiset.has_decidable_eq.equations._eqn_1 0.005555 s: order.partial_iso.preorder 0.000199 s: order.cofinal.has_mem 0.002653 s: order.exists_between_finsets 0.000351 s: ordering.compares.equations._eqn_1 0.000373 s: ordering.compares._main.equations._eqn_3 0.000108 s: ordering.compares.equations._eqn_3 0.002935 s: cmp_compares 0.000486 s: cmp_eq_lt_iff 0.001563 s: lt_iff_lt_of_cmp_eq_cmp 0.000441 s: cmp_eq_gt_iff 0.022287 s: order.partial_iso.exists_across 0.000518 s: cmp_eq_eq_iff 0.000344 s: cmp_self_eq_eq 0.000095 s: ordering.swap._main.equations._eqn_1 0.000037 s: ordering.swap.equations._eqn_1 0.000065 s: ordering.swap._main.equations._eqn_2 0.000019 s: ordering.swap.equations._eqn_2 0.004609 s: cmp_swap 0.001831 s: cmp_eq_cmp_symm 0.018564 s: order.partial_iso.defined_at_left._proof_1 0.008709 s: order.partial_iso.defined_at_left 0.001031 s: equiv.subset_image 0.024652 s: order.partial_iso.defined_at_right._proof_1 0.011549 s: order.partial_iso.defined_at_right 0.013392 s: 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category_theory.sieve.functor._proof_1 0.005359 s: category_theory.sieve.functor._proof_2 0.010311 s: category_theory.sieve.functor._proof_3 0.002567 s: category_theory.sieve.functor 0.003210 s: category_theory.sieve.functor_inclusion._proof_1 0.002892 s: category_theory.sieve.functor_inclusion 0.000362 s: category_theory.presieve.yoneda_sheaf_condition 0.000326 s: category_theory.presieve.is_sheaf_for.equations._eqn_1 0.000405 s: category_theory.presieve.yoneda_sheaf_condition.equations._eqn_1 0.003969 s: category_theory.presieve.nat_trans_equiv_compatible_family._proof_1 0.000714 s: category_theory.presieve.nat_trans_equiv_compatible_family._proof_2 0.003349 s: category_theory.presieve.nat_trans_equiv_compatible_family._proof_3 0.019435 s: category_theory.presieve.nat_trans_equiv_compatible_family._proof_4 0.021359 s: category_theory.presieve.nat_trans_equiv_compatible_family._proof_5 0.008851 s: category_theory.presieve.nat_trans_equiv_compatible_family 0.000809 s: category_theory.yoneda_equiv 0.013132 s: category_theory.yoneda_equiv_naturality 0.016931 s: category_theory.presieve.extension_iff_amalgamation 0.001477 s: equiv.forall_congr_left' 0.000838 s: equiv.exists_unique_congr_left' 0.000466 s: equiv.exists_unique_congr_left 0.005668 s: category_theory.presieve.is_sheaf_for_iff_yoneda_sheaf_condition 0.001748 s: category_theory.presieve.is_sheaf_for.extend._proof_1 0.001218 s: category_theory.presieve.is_sheaf_for.extend 0.002084 s: category_theory.presieve.is_sheaf_for.functor_inclusion_comp_extend 0.002258 s: category_theory.presieve.is_sheaf_for.functor_inclusion_comp_extend_assoc 0.000184 s: d_array.nil._match_1 0.000058 s: d_array.nil 0.001839 s: array.mmap_core._main 0.000083 s: array.mmap_core 0.000795 s: array.mmap_core._sunfold 0.040065 s: mv_polynomial.is_prime.vanishing_ideal_zero_locus 0.000415 s: pmf.has_coe_to_fun 0.000278 s: pmf.has_coe_to_fun.equations._eqn_1 0.001736 s: CommRing.limit_cone_is_limit.equations._eqn_1 0.007435 s: finmap.lift_on₂.equations._eqn_1 0.000125 s: int.div2._sunfold 0.000129 s: punit.measurable_space.equations._eqn_1 0.011170 s: ideal.quotient_equiv._proof_1 0.000722 s: ring_equiv.to_ring_hom_eq_coe 0.001510 s: galois_connection.l_unique 0.003694 s: ideal.map_map 0.002143 s: ring_equiv.symm_to_ring_hom_comp_to_ring_hom 0.000249 s: galois_connection.id 0.002629 s: ideal.comap_id 0.000731 s: ideal.map_id 0.013740 s: ideal.map_of_equiv 0.015817 s: ideal.comap_of_equiv 0.014024 s: ideal.map_comap_of_equiv 0.013381 s: ideal.quotient_equiv._proof_2 0.047202 s: ideal.quotient_equiv._proof_3 0.044147 s: ideal.quotient_equiv._proof_4 0.019188 s: ideal.quotient_equiv._proof_5 0.012481 s: ideal.quotient_equiv._proof_6 0.024060 s: ideal.quotient_equiv 0.026028 s: ideal.quotient_equiv_alg._proof_1 0.021301 s: ideal.quotient_equiv_alg._proof_2 0.022712 s: ideal.quotient_equiv_alg._proof_3 0.023722 s: ideal.quotient_equiv_alg._proof_4 0.014957 s: ideal.quotient_equiv_apply 0.032285 s: ideal.quotient_equiv_alg._proof_5 0.031627 s: ideal.quotient_equiv_alg 0.030145 s: ideal.quotient_equiv_alg.equations._eqn_1 0.017590 s: continuous_multilinear_map.dom_dom_congr._proof_1 0.008624 s: category_theory.limits.is_limit.map_π_assoc 0.005273 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso._proof_1 0.004603 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso._proof_2 0.001265 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso 0.000557 s: category_theory.limits.has_limit.iso_of_nat_iso 0.001072 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso_hom 0.002131 s: category_theory.nat_iso.cancel_nat_iso_hom_right 0.006128 s: category_theory.limits.is_limit.lift_comp_cone_points_iso_of_nat_iso_hom 0.002044 s: category_theory.limits.has_limit.lift_iso_of_nat_iso_hom 0.002136 s: category_theory.limits.has_limit.lift_iso_of_nat_iso_hom_assoc 0.000101 s: add_units.preorder 0.000115 s: add_units.preorder.equations._eqn_1 0.000408 s: subtype.restrict 0.000280 s: subtype.restrict_apply 0.000127 s: computation.equiv 0.000276 s: computation.equiv_of_mem 0.000140 s: computation.equiv_ret_of_mem 0.007371 s: finset.exists_lt_of_sum_lt 0.011436 s: finset.exists_lt_sum_fiber_of_maps_to_of_nsmul_lt_sum 0.065651 s: finset.exists_lt_card_fiber_of_mul_lt_card_of_maps_to 0.000118 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_5 0.000190 s: left_cancel_monoid.npow._default 0.000409 s: left_cancel_monoid.npow._default.equations._eqn_1 0.000180 s: empty.topological_space 0.000077 s: Top.inhabited 0.000055 s: Top.inhabited.equations._eqn_1 0.000266 s: fp.valid_finite.equations._eqn_1 0.007952 s: fp.dec_valid_finite._proof_1 0.000271 s: fp.dec_valid_finite 0.000103 s: _private.2596155485.pair_other 0.000097 s: sym2.rel_bool 0.000311 s: sym2.eq_swap 0.003236 s: sym2.eq_iff 0.000298 s: sym2.mk_has_mem 0.000201 s: sym2.mk_has_mem_right 0.001159 s: sym2.mem_iff 0.000081 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0.001087 s: function.surjective.semiring._proof_9 0.002154 s: function.surjective.semiring._proof_10 0.001568 s: function.surjective.semiring._proof_11 0.001137 s: function.surjective.semiring._proof_12 0.001023 s: function.surjective.semiring._proof_13 0.000495 s: function.surjective.semiring._proof_14 0.000369 s: function.surjective.semiring._proof_15 0.006929 s: function.surjective.semiring 0.001461 s: function.surjective.comm_semiring._proof_1 0.000100 s: nat.psub_eq_sub 0.000836 s: category_theory.mono.drec_on 0.002222 s: valuation.integers.dcases_on 0.004027 s: category_theory.iso.Semigroup_iso_to_mul_equiv._proof_1 0.002702 s: category_theory.iso.Semigroup_iso_to_mul_equiv._proof_2 0.001705 s: category_theory.iso.Semigroup_iso_to_mul_equiv._proof_3 0.001017 s: category_theory.iso.Semigroup_iso_to_mul_equiv 0.001297 s: category_theory.iso.Semigroup_iso_to_mul_equiv.equations._eqn_1 0.000106 s: nonempty.forall 0.000425 s: smooth_manifold_with_corners.maximal_atlas 0.000496 s: add_submonoid.to_ordered_add_comm_monoid._proof_2 0.000252 s: tactic.rewrite_search.using_conv.splice_result 0.000241 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.sizeof 0.000048 s: tactic.rewrite_search.using_conv.app_addr.sizeof 0.000024 s: tactic.rewrite_search.using_conv.app_addr.has_sizeof_inst 0.000045 s: tactic.rewrite_search.using_conv.splice_result.sizeof 0.000012 s: tactic.rewrite_search.using_conv.splice_result.has_sizeof_inst 0.001904 s: category_theory.limits.is_limit.of_iso_limit.equations._eqn_1 0.000656 s: lie_algebra.derived_series 0.000490 s: lie_algebra.derived_series_def 0.000511 s: lie_algebra.derived_series_of_ideal_zero 0.001359 s: submodule.comap_subtype_self 0.082356 s: lie_ideal.comap_incl_self 0.008657 s: lie_algebra.derived_series_of_ideal_succ 0.029917 s: lie_ideal.comap_bracket_incl_of_le 0.004630 s: submodule.coe_neg 0.023337 s: lie_submodule.lie_comm 0.012425 s: lie_submodule.lie_le_right 0.002865 s: lie_submodule.lie_le_left 0.007514 s: 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_private.537881775.sum_mul_div_add_sum_mul_div_eq_mul 0.064203 s: zmod.quadratic_reciprocity 0.000084 s: tactic.abel.normalize_mode.cases_on 0.000035 s: tactic.abel.normalize_mode.no_confusion_type 0.001198 s: category_theory.functor.equiv._proof_1 0.007522 s: category_theory.functor.equiv._proof_2 0.027708 s: category_theory.functor.equiv._proof_3 0.013250 s: category_theory.functor.equiv._proof_4 0.074390 s: category_theory.functor.equiv._proof_5 0.018021 s: category_theory.functor.equiv 0.001246 s: category_theory.functor.equiv_functor_obj 0.000380 s: relation.refl_trans_gen_of_transitive_reflexive 0.002157 s: free_group.red.step.sublist 0.000405 s: free_group.red.sublist 0.001066 s: null_measurable_set_of_complete 0.000435 s: pgame.move_left._main.equations._eqn_1 0.000230 s: pgame.move_left.equations._eqn_1 0.000368 s: is_solvable.solvable 0.000713 s: order_dual.of_dual_le_of_dual 0.000358 s: filter.ord_connected.tendsto_Icc 0.000458 s: filter.tendsto_Ioc_Ioi_Ioi 0.000345 s: filter.tendsto_Ioo_Ioi_Ioi 0.000533 s: filter.tendsto_Ioo_Ioi_Ioi.equations._eqn_1 0.000657 s: category_theory.cartesian_closed_of_equiv._proof_3 0.007420 s: lie_equiv.symm.equations._eqn_1 0.000462 s: nat.partrec.code.const._main 0.000012 s: nat.partrec.code.const 0.000029 s: nat.partrec.code.curry 0.010588 s: primrec₂.of_nat_iff 0.000216 s: primrec₂.const 0.009530 s: nat.partrec.code.comp_prim 0.006326 s: nat.partrec.code.pair_prim 0.000101 s: nat.partrec.code.const._main.equations._eqn_1 0.000039 s: nat.partrec.code.const.equations._eqn_1 0.000451 s: nat.partrec.code.const._main.equations._eqn_2 0.000052 s: nat.partrec.code.const.equations._eqn_2 0.002691 s: nat.partrec.code.const_prim 0.000606 s: nat.partrec.code.curry_prim 0.004849 s: nat.partrec.code.eval_const 0.006559 s: nat.partrec.code.eval_curry 0.000363 s: nat.partrec.code.smn 0.000728 s: set.image_inter_nonempty_iff 0.001799 s: real.log_nonneg_iff 0.007834 s: real.log_nonneg 0.009727 s: real.rpow_le_rpow_of_exponent_le 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onote.to_string._main.equations._eqn_2 0.000084 s: onote.to_string.equations._eqn_2 0.000975 s: model_with_corners.tangent 0.040402 s: tangent_map 0.005208 s: tangent_bundle.proj 0.041814 s: tangent_map_within.equations._eqn_1 0.049514 s: tangent_map.equations._eqn_1 0.051487 s: tangent_map_within_univ 0.000430 s: charted_space.lift_prop_on 0.010467 s: structure_groupoid.local_invariant_prop.lift_prop_on_of_locally_lift_prop_on 0.004210 s: times_cont_mdiff_on_of_locally_times_cont_mdiff_on 0.000129 s: is_topological_fiber_bundle 0.002369 s: bundle_trivialization.coe_fst_eventually_eq_proj 0.002225 s: bundle_trivialization.map_proj_nhds 0.000678 s: bundle_trivialization.continuous_at_proj 0.001249 s: is_topological_fiber_bundle.continuous_proj 0.000681 s: topological_fiber_bundle_core.local_triv_ext._proof_1 0.000490 s: topological_fiber_bundle_core.local_triv_ext._proof_2 0.002085 s: topological_fiber_bundle_core.local_triv_ext._proof_3 0.001805 s: topological_fiber_bundle_core.local_triv_ext 0.000905 s: topological_fiber_bundle_core.is_topological_fiber_bundle 0.000306 s: topological_fiber_bundle_core.continuous_proj 0.001558 s: tangent_bundle_proj_continuous 0.000682 s: tangent_bundle.proj.equations._eqn_1 0.000734 s: structure_groupoid.local_invariant_prop.lift_prop_on_congr 0.001711 s: times_cont_mdiff_on.congr 0.001040 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_of_lift_prop_at_of_mem_nhds 0.000251 s: charted_space.lift_prop_at.equations._eqn_1 0.000480 s: structure_groupoid.id_mem_maximal_atlas 0.012176 s: structure_groupoid.local_invariant_prop.lift_prop_at_symm_of_mem_maximal_atlas 0.003158 s: structure_groupoid.local_invariant_prop.lift_prop_on_symm_of_mem_maximal_atlas 0.009795 s: times_cont_mdiff_on_symm_of_mem_maximal_atlas 0.002174 s: times_cont_mdiff_on_chart_symm 0.005537 s: basic_smooth_bundle_core.mem_atlas_iff 0.003009 s: times_cont_diff_groupoid.equations._eqn_1 0.039832 s: model_with_corners.prod.equations._eqn_1 0.009369 s: set.prod_range_univ_eq 0.000835 s: model_prod_range_prod_id 0.001618 s: topological_fiber_bundle_core.mem_local_triv_target 0.261073 s: basic_smooth_bundle_core.to_smooth_manifold 0.004002 s: tangent_bundle.smooth_manifold_with_corners 0.016699 s: structure_groupoid.local_invariant_prop.lift_prop_at_of_mem_maximal_atlas 0.001867 s: structure_groupoid.local_invariant_prop.lift_prop_on_of_mem_maximal_atlas 0.010840 s: times_cont_mdiff_on_of_mem_maximal_atlas 0.001621 s: times_cont_mdiff_on_chart 0.000135 s: tangent_bundle_model_space_homeomorph._proof_1 0.000088 s: tangent_bundle_model_space_homeomorph._proof_2 0.004860 s: tangent_bundle_model_space_homeomorph._proof_3 0.007970 s: tangent_bundle_model_space_coe_chart_at_symm 0.006260 s: tangent_bundle_model_space_homeomorph._proof_4 0.001744 s: tangent_bundle_model_space_homeomorph 0.002890 s: tangent_bundle_model_space_homeomorph_coe 0.001532 s: tangent_bundle.proj_apply 0.001495 s: times_cont_mdiff_on.continuous_on 0.174623 s: times_cont_diff_on.continuous_on_fderiv_within 0.024487 s: unique_mdiff_on.unique_diff_on_target_inter 0.086411 s: mdifferentiable_within_at.mfderiv_within 0.013973 s: times_cont_mdiff_on.mdifferentiable_on 0.271233 s: times_cont_mdiff_on.continuous_on_tangent_map_within_aux 0.889163 s: times_cont_mdiff_on.times_cont_mdiff_on_tangent_map_within_aux 0.004837 s: unique_mdiff_on.inter 0.008814 s: tangent_map_within_proj 0.043402 s: basic_smooth_bundle_core.chart_target 0.012032 s: basic_smooth_bundle_core.mem_chart_target_iff 0.011138 s: basic_smooth_bundle_core.coe_chart_at_fst 0.057477 s: tangent_map_within_subset 0.096133 s: mfderiv_within_comp 0.085894 s: tangent_map_within_comp_at 0.021968 s: tangent_map_within_eq_tangent_map 0.120749 s: tangent_map_chart_symm 0.099468 s: tangent_map_chart 0.272388 s: times_cont_mdiff_on.times_cont_mdiff_on_tangent_map_within 0.003544 s: is_open.unique_mdiff_on 0.000312 s: unique_mdiff_on_univ 0.010786 s: times_cont_mdiff.times_cont_mdiff_tangent_map 0.000058 s: tactic.ring2.horner_expr.has_one 0.000041 s: tactic.ring2.horner_expr.atom 0.000132 s: tactic.ring2.horner_expr.mul_aux._match_1 0.001801 s: tactic.ring2.horner_expr.mul_aux._main 0.000034 s: tactic.ring2.horner_expr.mul_aux 0.000265 s: tactic.ring2.horner_expr.mul._main 0.000013 s: tactic.ring2.horner_expr.mul 0.000076 s: tactic.ring2.horner_expr.pow._main 0.000014 s: tactic.ring2.horner_expr.pow 0.000611 s: tactic.ring2.horner_expr.of_csexpr._main 0.000017 s: tactic.ring2.horner_expr.of_csexpr 0.000676 s: tactic.ring2.horner_expr.of_csexpr._main.equations._eqn_3 0.000051 s: tactic.ring2.horner_expr.of_csexpr.equations._eqn_3 0.000113 s: ulift.sizeof 0.000096 s: ulift.up.sizeof_spec 0.034404 s: category_theory.limits.id_preserves_colimits._proof_2 0.000814 s: closure_operator.to_closed.equations._eqn_1 0.008927 s: filter.eventually_all_finite 0.000152 s: quaternion_group.xa.inj_arrow 0.013056 s: int.to_nat_add_one 0.000056 s: category_theory.limits.walking_parallel_pair.sizeof 0.000034 s: category_theory.limits.walking_parallel_pair.has_sizeof_inst 0.000108 s: category_theory.limits.walking_parallel_pair_hom.sizeof 0.000097 s: category_theory.limits.walking_parallel_pair_hom.right.sizeof_spec 0.004894 s: Top.forget_preserves_limits 0.005369 s: Top.forget_preserves_limits.equations._eqn_1 0.008997 s: category_theory.equivalence.cases_on 0.015734 s: category_theory.equivalence.inverse_as_equivalence 0.000118 s: has_seq_left.rec_on 0.000388 s: polynomial.restriction._proof_1 0.000248 s: polynomial.restriction._proof_2 0.004967 s: polynomial.restriction._proof_3 0.007509 s: polynomial.restriction._proof_4 0.001652 s: polynomial.restriction 0.002679 s: polynomial.eval₂_restriction 0.003309 s: category_theory.category_of_elements.comp_val 0.000747 s: rbnode.min._main.equations._eqn_1 0.000089 s: rbnode.min.equations._eqn_1 0.027219 s: equiv.extend_subtype_apply_of_mem 0.009527 s: equiv.extend_subtype_not_mem 0.006688 s: equiv.perm.is_conj_of_support_equiv 0.000157 s: _private.3307973695.cycle_f._main 0.000038 s: _private.3307973695.cycle_f 0.000275 s: _private.3072507241.cycle_g._main 0.000090 s: _private.3072507241.cycle_g 0.000793 s: stream.cycle._main 0.000055 s: stream.cycle 0.000475 s: stream.append_stream._main 0.000028 s: stream.append_stream 0.000624 s: _private.2391464935.cycle_g_cons 0.003828 s: stream.cycle_eq 0.000117 s: onote.mul_nat._main 0.000012 s: onote.mul_nat 0.000369 s: onote.mul_nat._main.equations._eqn_3 0.000070 s: onote.mul_nat.equations._eqn_3 0.192329 s: finite_dimensional.eq_of_le_of_findim_le 0.126968 s: finite_dimensional.eq_of_le_of_findim_eq 0.000178 s: znum.mul._main.equations._eqn_7 0.000037 s: znum.mul.equations._eqn_7 0.001291 s: has_andthen 0.000126 s: has_andthen.cases_on 0.000130 s: has_andthen.no_confusion_type 0.000273 s: has_andthen.no_confusion 0.017995 s: category_theory.center.associator_hom_f 0.000521 s: matrix.special_linear_group.coe_matrix.equations._eqn_1 0.101578 s: real.tan_int_mul_pi 0.000334 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.below 0.011147 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.brec_on 0.000326 s: nat.iterate._main.equations._eqn_1 0.000078 s: nat.iterate.equations._eqn_1 0.006892 s: turing.TM1to1.supports_stmt_move 0.006187 s: turing.TM1to1.supports_stmt_read 0.000059 s: reflexive.equations._eqn_1 0.000197 s: has_measurable_div.measurable_const_div 0.000183 s: char.sizeof 0.000020 s: char.has_sizeof_inst 0.000265 s: continuous_linear_map.fpower_series_bilinear._proof_1 0.001166 s: continuous_linear_map.fpower_series_bilinear._proof_2 0.020600 s: continuous_linear_map.fpower_series_bilinear._proof_3 0.000310 s: continuous_linear_map.fpower_series_bilinear._proof_4 0.000215 s: continuous_linear_map.fpower_series_bilinear._proof_5 0.004525 s: continuous_linear_map.fpower_series_bilinear._proof_6 0.023758 s: continuous_linear_map.fpower_series_bilinear._proof_7 0.000203 s: continuous_linear_map.fpower_series_bilinear._proof_8 0.030888 s: continuous_linear_map.fpower_series_bilinear 0.055845 s: continuous_linear_map.fpower_series_bilinear_radius 0.127681 s: continuous_linear_map.coe_deriv₂ 0.101049 s: continuous_linear_map.map_add₂ 0.000212 s: continuous_linear_map.fpower_series_bilinear._main._proof_1 0.009431 s: continuous_linear_map.fpower_series_bilinear._main._proof_2 0.020677 s: continuous_linear_map.fpower_series_bilinear._main._proof_3 0.000163 s: continuous_linear_map.fpower_series_bilinear._main._proof_4 0.202906 s: continuous_linear_map.has_fpower_series_on_ball_bilinear 0.065404 s: continuous_linear_map.has_fpower_series_at_bilinear 0.041210 s: continuous_linear_map.analytic_at_bilinear 0.000620 s: closed_under_restriction.drec 0.015150 s: category_theory.unbundled_hom.mk_has_forget₂._proof_2 0.000119 s: psigma.lex_ndep 0.005818 s: one_div_add_one_div 0.006571 s: inv_add_inv 0.000041 s: category_theory.Aut 0.006590 s: category_theory.Aut.group._proof_5 0.000297 s: category_theory.prod_coprod_distrib._proof_2 0.004196 s: disjoint_nested_nhds 0.004236 s: category_theory.iso.AddCommGroup_iso_to_add_equiv 0.002314 s: category_theory.iso.AddCommGroup_iso_to_add_equiv.equations._eqn_1 0.000919 s: finset.min'._match_1.equations._eqn_1 0.005822 s: category_theory.under.iso_mk.equations._eqn_1 0.000949 s: category_theory.subobject.of_le_mk 0.001242 s: category_theory.subobject.of_le_mk.equations._eqn_1 0.022189 s: category_theory.subobject.of_le_comp_of_le_mk 0.004889 s: open_add_subgroup.semilattice_inf_top._proof_12 0.000254 s: mvqpf.sigma.abs 0.001468 s: mvqpf.sigma.abs._main.equations._eqn_1 0.001365 s: mvqpf.sigma.abs.equations._eqn_1 0.001679 s: pequiv.of_set._proof_1 0.000271 s: pequiv.of_set 0.002058 s: pequiv.mem_of_set_iff 0.001738 s: set.preimage_add_const_Iio 0.000740 s: set.image_add_const_Iio 0.011534 s: set.Iio_add_bij 0.000034 s: 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ordnode.find._main 0.000093 s: ordnode.find 0.000287 s: continuous_within_at_fst 0.000724 s: times_cont_diff_within_at_fst 0.001299 s: prod_charted_space_chart_at 0.040144 s: times_cont_mdiff_within_at_fst 0.008684 s: times_cont_mdiff_on_fst 0.014982 s: category_theory.tensoring_right_monoidal._proof_3 0.020263 s: subfield.map_bot 0.013228 s: finset.range_add_one' 0.000291 s: category_theory.normal_of_is_pullback_fst_of_normal._proof_2 0.002596 s: continuous_linear_equiv.map_eq_zero_iff 0.002085 s: pgame.add_zero_relabelling._sunfold 0.000775 s: additive.has_continuous_add.equations._eqn_1 0.000035 s: opposite.equations._eqn_1 0.001324 s: set.Inter_inter_distrib 0.002910 s: category_theory.limits.is_colimit.of_nat_iso.hom_of_cocone 0.000227 s: parser.err_static.and_then 0.001908 s: parser.err_static.mmap'._main 0.000069 s: parser.err_static.mmap' 0.001133 s: parser.err_static.mmap'._sunfold 0.000167 s: lazy_list.bind._sunfold 0.003185 s: le_gfp 0.000536 s: gfp_eq 0.004720 s: 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0.002433 s: is_extr_filter.congr 0.000281 s: filter.eventually_eq.is_extr_filter_iff 0.000488 s: filter.eventually_eq.eq_of_nhds_within 0.000693 s: filter.eventually_eq.is_local_extr_on_iff 0.000024 s: punit.complete_boolean_algebra._proof_12 0.000080 s: function.pts_of_period 0.003406 s: function.is_periodic_pt.const_mul 0.001570 s: function.directed_pts_of_period_pnat 0.000567 s: category_theory.is_preconnected.cases_on 0.000264 s: linarith.nat_eq_subst 0.000368 s: with_zero.canonically_ordered_add_monoid._proof_8 0.003777 s: typevec.to_subtype._main.equations._eqn_2 0.002332 s: typevec.to_subtype.equations._eqn_2 0.001933 s: ωCPO.omega_complete_partial_order.continuous_hom.category_theory.bundled_hom.equations._eqn_1 0.000159 s: seq.split_at._match_2 0.000223 s: seq.split_at._match_1 0.000421 s: seq.split_at._main 0.063179 s: universal_enveloping_algebra.rel 0.009403 s: universal_enveloping_algebra 0.038044 s: universal_enveloping_algebra.ring 0.050891 s: 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finset.prod_pow_eq_pow_sum 0.000169 s: formal_multilinear_series.comp_partial_sum_target.equations._eqn_1 0.002795 s: formal_multilinear_series.mem_comp_partial_sum_target_iff 0.000766 s: formal_multilinear_series.comp_change_of_variables.equations._eqn_1 0.002994 s: formal_multilinear_series.comp_change_of_variables_length 0.003847 s: formal_multilinear_series.comp_change_of_variables_blocks_fun 0.000166 s: composition.no_confusion_type 0.000289 s: composition.no_confusion 0.000221 s: composition.mk.inj 0.000238 s: composition.mk.inj_arrow 0.001969 s: composition.ext_iff 0.001135 s: composition.blocks_fun_congr 0.046258 s: formal_multilinear_series.comp_change_of_variables_sum 0.007300 s: fin.heq_fun_iff 0.003508 s: finset.sdiff_union_self_eq_union 0.000511 s: finset.union_eq_left_iff_subset 0.001352 s: fintype.pi_finset_subset 0.001661 s: fintype.pi_finset_disjoint_of_disjoint 0.050549 s: multilinear_map.map_sum_finset_aux 0.005182 s: multilinear_map.map_sum_finset 0.160420 s: formal_multilinear_series.radius_right_inv_pos_of_radius_pos_aux1 0.297309 s: formal_multilinear_series.radius_right_inv_pos_of_radius_pos_aux2 0.010775 s: geom_sum_Ico 0.007177 s: geom_sum_Ico' 0.071011 s: div_le_div 2.071019 s: formal_multilinear_series.radius_right_inv_pos_of_radius_pos 0.000273 s: list.iota._main 0.000287 s: list.iota._main.equations._eqn_2 0.159844 s: exists_ratio_deriv_eq_ratio_slope 0.026157 s: direct_sum.gmonoid.of_add_submonoids._match_4.equations._eqn_1 0.031169 s: continuous_linear_equiv.units_equiv_aut.equations._eqn_1 0.004720 s: category_theory.Mat_.embedding.category_theory.faithful 0.007436 s: lie_module_hom.map_sub 0.000217 s: bifunctor.const 0.000202 s: is_lawful_bifunctor.const._proof_1 0.000241 s: is_lawful_bifunctor.const._proof_2 0.000428 s: is_lawful_bifunctor.const 0.000265 s: is_lawful_bifunctor.const.equations._eqn_1 0.002135 s: Fintype.skeleton.incl.category_theory.faithful.equations._eqn_1 0.018743 s: linear_map.infi_ker_proj_equiv._proof_1 0.015515 s: continuous_linear_map.infi_ker_proj_equiv._proof_2 0.002495 s: nat.gcd_gcd_self_right_left 0.000133 s: nat.gcd_gcd_self_right_right 0.000172 s: nat.gcd_gcd_self_left_right 0.000210 s: nat.gcd_gcd_self_left_left 0.003575 s: multiset.card_powerset 0.001505 s: is_lawful_monad.drec_on 0.000546 s: uniform_continuous.dist 0.001643 s: affine_equiv.vadd_const_apply 0.002486 s: affine_equiv.vadd_const_symm_apply 0.062339 s: affine_map.of_map_midpoint._proof_4 0.012001 s: direct_sum.grade_zero.semiring._proof_1 0.003190 s: polynomial.eval₂.is_semiring_hom.equations._eqn_1 0.000063 s: monad.mapm 0.000128 s: monad.mapm.equations._eqn_1 0.000332 s: pgame.state.sizeof 0.001468 s: pgame.state.mk.sizeof_spec 0.007769 s: list.foldr_append 0.000821 s: ordnode.repr._main 0.000059 s: ordnode.repr 0.000520 s: ordnode.repr._main.equations._eqn_1 0.000108 s: ordnode.repr.equations._eqn_1 0.000424 s: filter.germ.ordered_cancel_add_comm_monoid._proof_6 0.000928 s: subsemiring.mem_carrier 0.000544 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has_pow.no_confusion_type 0.002290 s: computation.terminates_of_lift_rel 0.002558 s: computation.lift_rel_def 0.000695 s: computation.rel_of_lift_rel 0.005277 s: wseq.lift_rel.trans 0.000139 s: wseq.equiv.trans 0.000356 s: measurable_set.sInter 0.000860 s: is_Gδ.measurable_set 0.000478 s: uniform.continuous_at_iff'_left 0.001544 s: uniform.continuous_at_iff_prod 0.000924 s: is_open.is_Gδ 0.006863 s: is_Gδ_set_of_continuous_at_of_countably_generated_uniformity 0.000373 s: is_Gδ_set_of_continuous_at 0.000221 s: measurable_set_of_continuous_at 0.000115 s: multiset.to_list._proof_1 0.001427 s: structure_groupoid.local_invariant_prop.lift_prop_at_congr_iff_of_eventually_eq 0.004832 s: category_theory.limits.cocone.op.equations._eqn_1 0.000014 s: slim_check.no_shrink 0.004508 s: continuous_linear_map.cod_restrict._proof_1 0.003186 s: continuous_linear_map.cod_restrict 0.002739 s: continuous_linear_map.coe_sub' 0.015010 s: continuous_linear_map.proj_ker_of_right_inverse._proof_1 0.005903 s: continuous_linear_map.proj_ker_of_right_inverse 0.000191 s: continuous_linear_equiv.equiv_of_right_inverse._proof_1 0.005295 s: continuous_linear_map.prod_apply 0.007540 s: continuous_linear_map.coprod_apply 0.009822 s: continuous_linear_map.coe_proj_ker_of_right_inverse_apply 0.021559 s: continuous_linear_equiv.equiv_of_right_inverse._proof_2 0.006630 s: continuous_linear_map.apply_ker 0.011120 s: continuous_linear_map.proj_ker_of_right_inverse_comp_inv 0.012859 s: continuous_linear_map.proj_ker_of_right_inverse_apply_idem 0.048021 s: continuous_linear_equiv.equiv_of_right_inverse._match_1 0.019683 s: continuous_linear_equiv.equiv_of_right_inverse._proof_3 0.012407 s: continuous_linear_equiv.equiv_of_right_inverse 0.009194 s: continuous_linear_equiv.fst_equiv_of_right_inverse 0.005360 s: mem_integral_closure_iff_mem_fg 0.000034 s: ordering.lt.inj 0.043444 s: category_theory.limits.has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair 0.013558 s: category_theory.limits.diagram_iso_cospan._proof_1 0.001716 s: category_theory.limits.diagram_iso_cospan 0.001610 s: category_theory.limits.has_pullbacks_of_has_binary_products_of_has_equalizers 0.000116 s: category_theory.abelian.has_equalizers 0.000121 s: category_theory.abelian.has_pullbacks 0.007201 s: category_theory.eq._proof_1 0.000375 s: nat.not_prime_zero 0.002286 s: function.injective.cancel_comm_monoid._proof_1 0.001138 s: function.injective.cancel_comm_monoid._proof_2 0.005568 s: function.injective.cancel_comm_monoid._proof_3 0.005489 s: function.injective.cancel_comm_monoid._proof_4 0.004725 s: function.injective.cancel_comm_monoid._proof_5 0.005027 s: function.injective.cancel_comm_monoid._proof_6 0.006949 s: function.injective.cancel_comm_monoid._proof_7 0.005758 s: function.injective.cancel_comm_monoid 0.000728 s: category_theory.comonad_to_functor_obj 0.003019 s: category_theory.limits.cone_morphism.sizeof 0.003983 s: diffeomorph.times_cont_mdiff_map.has_coe 0.003994 s: diffeomorph.times_cont_mdiff_map.has_coe.equations._eqn_1 0.000246 s: pgame.neg_congr 0.000230 s: game.neg._proof_1 0.000226 s: game.neg 0.000028 s: game.has_neg 0.000068 s: game.has_zero 0.000087 s: pgame.add_left_neg_equiv 0.000633 s: game.add_left_neg 0.002823 s: nat.partrec.drec_on 0.001047 s: homeomorph.trans._proof_1 0.000866 s: homeomorph.trans._proof_2 0.001520 s: homeomorph.trans 0.000372 s: homeomorph.prod_comm._proof_1 0.000340 s: homeomorph.prod_comm._proof_2 0.001033 s: homeomorph.prod_comm 0.000404 s: homeomorph.prod_punit._proof_1 0.000803 s: homeomorph.prod_punit 0.000169 s: homeomorph.punit_prod 0.000425 s: continuous_add_monoid 0.000036 s: tactic.dsimp_config.single_pass._default 0.000046 s: tactic.dsimp_config.single_pass._default.equations._eqn_1 0.001822 s: ite_and 0.004155 s: set.indicator_prod_one 0.002735 s: monoid_hom.flip._proof_2 0.007998 s: monoid_hom.flip._proof_3 0.011266 s: monoid_hom.flip._proof_4 0.006025 s: monoid_hom.flip 0.000584 s: monoid_hom.flip_hom._proof_1 0.000599 s: monoid_hom.flip_hom._proof_2 0.048224 s: monoid_hom.flip_hom 0.000501 s: small_of_fintype.equations._eqn_1 0.009819 s: units.tendsto_const_smul_iff 0.002385 s: is_unit.tendsto_const_smul_iff 0.010347 s: finsupp.add_group._match_1.equations._eqn_1 0.003209 s: category_theory.abelian.pseudo_equal 0.002416 s: category_theory.preadditive.epi_of_cancel_zero 0.000269 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_1 0.000193 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_3 0.000256 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_4 0.000228 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_5 0.000161 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct._proof_6 0.001739 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct 0.005018 s: category_theory.limits.biprod.lift_eq 0.007890 s: category_theory.limits.biprod.lift_desc 0.004309 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct_fork._proof_1 0.001104 s: category_theory.abelian.pullback_to_biproduct_is_kernel.pullback_to_biproduct_fork 0.001213 s: category_theory.abelian.epi_is_cokernel_of_kernel._proof_1 0.002997 s: category_theory.abelian.epi_is_cokernel_of_kernel 0.000637 s: category_theory.limits.biprod.epi_desc_of_epi_right 0.001168 s: category_theory.preadditive.has_neg.neg.category_theory.epi 0.032069 s: category_theory.abelian.pullback_to_biproduct_is_kernel.is_limit_pullback_to_biproduct._proof_2 0.040845 s: category_theory.abelian.pullback_to_biproduct_is_kernel.is_limit_pullback_to_biproduct._proof_3 0.013805 s: category_theory.abelian.pullback_to_biproduct_is_kernel.is_limit_pullback_to_biproduct 0.018239 s: category_theory.abelian.epi_pullback_of_epi_g 0.002245 s: category_theory.limits.biprod.epi_desc_of_epi_left 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multiset.filter_eq_nil 0.004356 s: multiset.filter_add_not 0.074242 s: partition.of_sums._proof_2 0.000265 s: partition.of_sums 0.000063 s: partition.indiscrete_partition._proof_1 0.004725 s: partition.indiscrete_partition 0.000056 s: partition.inhabited 0.000433 s: wseq.all._match_1 0.000334 s: wseq.all._match_1.equations._eqn_2 0.000481 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_6 0.003273 s: enat.coe_hom 0.012156 s: semilattice_sup_top.cases_on 0.000775 s: Cauchy.mem_uniformity 0.000218 s: bex_congr 0.003273 s: Cauchy.mem_uniformity' 0.024486 s: Cauchy.Cauchy_eq 0.001230 s: prime_multiset.of_nat_list.equations._eqn_1 0.004315 s: lcm_eq_normalize 0.000697 s: lcm_units_coe_left 0.002259 s: lcm_one_left 0.027493 s: category_theory.center.forget._proof_3 0.000251 s: locally_constant.mul_zero_one_class._proof_1 0.000109 s: locally_constant.mul_zero_one_class._proof_2 0.000262 s: locally_constant.mul_zero_one_class._proof_3 0.000130 s: 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measure_theory.ae_eq_fun.lift_rel_mk_mk 0.002189 s: category_theory.monoidal.to_transported._proof_4 0.006877 s: is_coprime.dvd_of_dvd_mul_right 0.003320 s: ideal.mul_le_right 0.010261 s: ideal.mul_right_self_sup 0.000982 s: is_open_map.of_inverse 0.000057 s: rand_nat._match_2._proof_1 0.001156 s: Set.sep.equations._eqn_1 0.003442 s: differentiable_at.deriv_within 0.001011 s: polynomial.differentiable_at 0.001040 s: polynomial.deriv 0.001592 s: polynomial.deriv_within 0.000280 s: free_ring.free_comm_ring.has_coe.equations._eqn_1 0.000472 s: nzsnum.sign._main 0.000022 s: nzsnum.sign 0.000256 s: nzsnum.sign._main.equations._eqn_2 0.000036 s: nzsnum.sign.equations._eqn_2 0.000181 s: fin_one_equiv._match_1.equations._eqn_1 0.044950 s: fraction_map.num 0.099127 s: fraction_map.mk'_num_denom 0.072049 s: fraction_map.num_mul_denom_eq_num_mul_denom_iff_eq 0.000144 s: string.iterator.remove._sunfold 0.007893 s: category_theory.limits.id_zero_equiv_iso_zero._proof_1 0.003397 s: 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0.228199 s: asymptotics.is_o_pow_pow_at_top_of_lt 0.071636 s: polynomial.is_equivalent_at_top_lead 0.000054 s: multiplicative.preorder 0.010213 s: equiv.set.of_eq.equations._eqn_1 0.003960 s: tactic.interactive.list.minimum_on._match_1 0.000175 s: tactic.interactive.list.minimum_on._main 0.000051 s: tactic.interactive.list.minimum_on 0.000502 s: tactic.interactive.list.minimum_on._main.equations._eqn_2 0.000506 s: tactic.interactive.list.minimum_on.equations._eqn_2 0.000720 s: category_theory.iso.sizeof 0.000098 s: category_theory.iso.has_sizeof_inst 0.025294 s: mv_polynomial.C.is_ring_hom 0.003370 s: mv_polynomial.C_sub 0.001531 s: with_bot.coe_inf 0.000577 s: subalgebra.to_intermediate_field._proof_1 0.000515 s: subalgebra.to_intermediate_field._proof_2 0.000321 s: subalgebra.to_intermediate_field._proof_3 0.000477 s: subalgebra.to_intermediate_field._proof_4 0.000411 s: subalgebra.to_intermediate_field._proof_5 0.007017 s: subalgebra.to_intermediate_field 0.003191 s: subalgebra.coe_zero 0.036602 s: subalgebra.aeval_coe 0.127222 s: inv_eq_of_aeval_div_X_ne_zero 0.107201 s: inv_eq_of_root_of_coeff_zero_ne_zero 0.016978 s: subalgebra.coe_eq_zero 0.121707 s: subalgebra.inv_mem_of_root_of_coeff_zero_ne_zero 0.019190 s: subalgebra.no_zero_divisors 0.250504 s: subalgebra.inv_mem_of_algebraic 0.020898 s: to_subalgebra_to_intermediate_field 0.006666 s: to_intermediate_field_to_subalgebra 0.011256 s: subalgebra_equiv_intermediate_field._proof_4 0.000644 s: qpf.cofix.dest.equations._eqn_1 0.000307 s: qpf.cofix.corec.equations._eqn_1 0.000170 s: qpf.corecF.equations._eqn_1 0.001070 s: qpf.corecF_eq 0.002761 s: qpf.cofix.dest_corec 0.000522 s: is_R_or_C.abs_ne_zero 0.000526 s: int.nat_abs_abs 0.000169 s: turing.to_partrec.step._sunfold 0.000320 s: is_alg_closed.rec_on 0.000189 s: quaternion_algebra.no_confusion_type 0.000337 s: quaternion_algebra.no_confusion 0.003772 s: UniformSpace.has_forget_to_Top._proof_1 0.003878 s: UniformSpace.has_forget_to_Top._proof_2 0.003417 s: UniformSpace.has_forget_to_Top._proof_3 0.009221 s: UniformSpace.has_forget_to_Top._proof_4 0.013310 s: UniformSpace.has_forget_to_Top 0.011879 s: UniformSpace.has_forget_to_Top.equations._eqn_1 0.000130 s: pnat.factor_multiset.equations._eqn_1 0.004771 s: function.injective.domain._proof_7 0.000711 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_4 0.002310 s: geom_sum_zero 0.000434 s: fib_rec 0.002132 s: linear_recurrence.char_poly 0.001204 s: linear_recurrence.char_poly.equations._eqn_1 0.036428 s: linear_recurrence.geom_sol_iff_root_char_poly 0.000571 s: fib_rec.equations._eqn_1 0.007848 s: fin.cases_succ' 0.001213 s: matrix.cons_val_succ' 0.035610 s: fib_rec_char_poly_eq 0.241308 s: gold_conj_sq 0.050784 s: geom_gold_conj_is_sol_fib_rec 0.000117 s: turing.TM0.stmt.inhabited 0.000207 s: turing.TM0.stmt.inhabited.equations._eqn_1 0.000140 s: computable_pred 0.007326 s: primrec.option_is_some 0.005766 s: partrec.rfind_opt 0.003496 s: nat.partrec.code.eval_part 0.009202 s: nat.partrec.code.fixed_point 0.004603 s: nat.partrec.code.fixed_point₂ 0.000831 s: roption.bind_some_right 0.005178 s: partrec.cond 0.002475 s: computable_pred.rice 0.001168 s: computable_pred.halting_problem 0.001607 s: hash_map.erase_aux._main.equations._eqn_2 0.000220 s: hash_map.erase_aux.equations._eqn_2 0.017923 s: hash_map.valid.erase_aux 0.008068 s: hash_map.valid.erase 0.001068 s: hash_map.erase._match_1 0.000152 s: hash_map.erase 0.000691 s: option.eq_of_eq_some 0.000205 s: hash_map.entries 0.000193 s: hash_map.size 0.000568 s: hash_map.is_valid 0.000640 s: hash_map.find_iff 0.000441 s: hash_map.erase._match_1._proof_1 0.000171 s: hash_map.erase.equations._eqn_1 0.002096 s: hash_map.erase._match_1.equations._eqn_1 0.000078 s: not_and_self_iff 0.000258 s: hash_map.entries.equations._eqn_1 0.015324 s: hash_map.mem_erase 0.003863 s: hash_map.find_erase_ne 0.002061 s: submodule.has_div.equations._eqn_1 0.001406 s: is_closed_map_add_left 0.001017 s: pgame.restricted.mk.inj 0.002595 s: pgame.restricted.mk.inj_eq 0.001011 s: measure_theory.measure.smul_finite 0.000134 s: string.iterator_imp.snd 0.000729 s: ltb._main._pack._wf_rec_mk_dec_tactic._aux_1 0.002102 s: string.ltb._match_1 0.000615 s: string.ltb._main._pack 0.000040 s: string.ltb._main 0.000036 s: string.ltb 0.000066 s: string.has_lt' 0.000037 s: string.has_le 0.002710 s: list.linear_order._proof_1 0.000122 s: list.lex.decidable_rel 0.002441 s: list.linear_order 0.000072 s: list.has_le' 0.000028 s: list.has_lt' 0.000029 s: string.ltb._main._pack._proof_1 0.001070 s: string.ltb._main._pack.equations._eqn_1 0.000240 s: string.ltb._main.equations._eqn_1 0.000177 s: string.ltb.equations._eqn_1 0.001838 s: list.lex.cons_iff 0.012461 s: string.lt_iff_to_list_lt 0.003459 s: string.le_iff_to_list_le 0.000905 s: string.linear_order._proof_1 0.001259 s: string.linear_order._proof_2 0.001801 s: string.linear_order._proof_3 0.000287 s: string.to_list_inj 0.007155 s: string.linear_order._proof_4 0.010241 s: string.linear_order._proof_5 0.000197 s: string.decidable_le 0.000072 s: string_imp.no_confusion_type 0.000160 s: string_imp.no_confusion 0.000097 s: string_imp.mk.inj 0.000166 s: string.has_decidable_eq._match_1 0.000094 s: string.has_decidable_eq._match_2 0.000051 s: string.has_decidable_eq._match_3 0.000020 s: string.has_decidable_eq 0.000100 s: string.decidable_lt 0.000812 s: string.linear_order 0.000405 s: category_theory.limits.has_finite_limits 0.000157 s: category_theory.limits.has_finite_limits.dcases_on 0.000267 s: category_theory.subobject.map_iso_to_order_iso._proof_1 0.002043 s: category_theory.lax_monoidal_functor.map_Mon_obj_X 0.784539 s: real.exp_one_near_20 0.000260 s: finsum_congr 0.000453 s: finsum_congr_Prop 0.000383 s: finsum_mem_def 0.003510 s: finsum_eq_sum_of_support_subset 0.003217 s: finsum_cond_eq_sum_of_cond_iff 0.001691 s: finsum_mem_eq_sum_of_inter_support_eq 0.000372 s: finsum_mem_coe_finset 0.000853 s: finsum_mem_singleton 0.000592 s: finsum_cond_eq_left 0.000819 s: finsum_cond_eq_right 0.000226 s: state_t.monad_map 0.000153 s: state_t.monad_functor 0.000450 s: computation.lift_rel_aux._main.equations._eqn_4 0.000244 s: with_zero.semiring._proof_2 0.000418 s: bounded_random.cases_on 0.000220 s: bounded_random.no_confusion_type 0.000164 s: opposite.group._proof_1 0.000116 s: opposite.group._proof_2 0.000106 s: opposite.group._proof_3 0.000501 s: opposite.group._proof_4 0.000271 s: opposite.group._proof_5 0.000077 s: opposite.group._proof_6 0.000071 s: opposite.group._proof_7 0.000067 s: opposite.group._proof_8 0.000177 s: opposite.group._proof_9 0.000192 s: opposite.group._proof_10 0.000504 s: opposite.group._proof_11 0.004460 s: opposite.group._proof_12 0.002886 s: opposite.group 0.002832 s: opposite.group.equations._eqn_1 0.004465 s: pi.right_cancel_monoid._proof_5 0.010542 s: tensor_product.comm_tmul 0.041878 s: algebra.tensor_product.comm._proof_1 0.000554 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_3 0.000224 s: free_algebra.pre.has_coe_semiring.equations._eqn_1 0.000038 s: pos_num.div' 0.000061 s: num.div._main 0.000013 s: num.div 0.000023 s: num.has_div 0.000203 s: znum.div._main 0.000131 s: znum.div._main.equations._eqn_1 0.000289 s: snum.bit._main.equations._eqn_1 0.000105 s: int.quot._main 0.000781 s: multiset.distrib_lattice._proof_7 0.133773 s: measure_theory.set_integral_nonneg_of_ae_restrict 0.000379 s: measure_theory.ae_restrict_of_ae 0.131744 s: measure_theory.set_integral_nonneg_of_ae 0.000353 s: con.ker_lift._proof_1 0.000557 s: con.ker_lift 0.000616 s: pi.distrib.equations._eqn_1 0.014948 s: continuous_linear_map.measurable 0.003942 s: continuous_linear_map.measurable_comp 0.001481 s: fintype.exists_le_sum_fiber_of_nsmul_le_sum 0.324794 s: fintype.exists_sum_fiber_le_of_sum_le_nsmul 0.037176 s: is_separable_iff 0.147735 s: is_integral_tower_bot_of_is_integral_field 0.074156 s: is_scalar_tower.aeval_eq_zero_of_aeval_algebra_map_eq_zero_field 0.210013 s: is_separable_tower_bot_of_is_separable 0.078893 s: is_separable.of_alg_hom 0.000069 s: Set.to_set 0.000120 s: Set.to_set.equations._eqn_1 0.000393 s: monoid_hom.sizeof 0.000173 s: monoid_hom.has_sizeof_inst 0.010852 s: smooth_monoid_morphism.sizeof 0.005088 s: smooth_monoid_morphism.mk.sizeof_spec 0.002678 s: category_theory.braided_category.braiding_naturality' 0.003492 s: bilin_form.add_comm_group._proof_7 0.000972 s: multiset.filter_zero 0.000235 s: multiset.mem_filter_of_mem 0.003403 s: multiset.filter_sub 0.002963 s: multiset.filter_union 0.000063 s: list.mfoldr 0.001360 s: list.mfoldr_nil 0.001684 s: list.mfoldr_cons 0.002173 s: list.mfoldr_eq_foldr 0.007116 s: category_theory.comonad.coalgebra_iso_of_iso 0.001626 s: category_theory.comonad.forget_reflects_iso 0.000149 s: transitive.equations._eqn_1 0.000418 s: int.sub_left_le_of_le_add 0.000359 s: int.neg_add_le_left_of_le_add 0.002539 s: category_theory.full.cases_on 0.001856 s: category_theory.full.no_confusion_type 0.001354 s: category_theory.full.no_confusion 0.001592 s: category_theory.full.mk.inj 0.000203 s: quotient_add_group.quotient.topological_space 0.000223 s: is_solvable_def 0.000841 s: prod.decidable_eq._main.equations._eqn_1 0.001202 s: ordinal.has_lt.lt.is_well_order.equations._eqn_1 0.028621 s: category_theory.differential_object.shift_unit_inv._proof_1 0.134002 s: category_theory.differential_object.shift_unit_inv._proof_2 0.017611 s: category_theory.differential_object.shift_unit_inv 0.011044 s: category_theory.differential_object.shift_unit_iso._proof_1 0.010794 s: category_theory.differential_object.shift_unit_iso._proof_2 0.002395 s: category_theory.differential_object.shift_unit_iso 0.020679 s: category_theory.differential_object.shift_counit._proof_1 0.086795 s: category_theory.differential_object.shift_counit._proof_2 0.019916 s: category_theory.differential_object.shift_counit 0.018239 s: category_theory.differential_object.shift_counit_inv._proof_1 0.113456 s: category_theory.differential_object.shift_counit_inv._proof_2 0.016603 s: category_theory.differential_object.shift_counit_inv 0.015723 s: category_theory.differential_object.shift_counit_iso._proof_1 0.014676 s: category_theory.differential_object.shift_counit_iso._proof_2 0.004874 s: category_theory.differential_object.shift_counit_iso 0.026068 s: category_theory.differential_object.category_theory.has_shift._proof_1 0.001517 s: category_theory.differential_object.category_theory.has_shift 0.000981 s: category_theory.differential_object.category_theory.has_shift.equations._eqn_1 0.000176 s: num.of_nat' 0.000127 s: znum.of_int'._main 0.000043 s: znum.of_int' 0.001693 s: znum.of_int'._main.equations._eqn_2 0.000068 s: znum.of_int'.equations._eqn_2 0.003708 s: one_one_reducible.to_many_one 0.000100 s: ring_equiv.to_opposite._proof_1 0.000065 s: ring_equiv.to_opposite._proof_2 0.000125 s: ring_equiv.to_opposite._proof_3 0.000177 s: ring_equiv.to_opposite._proof_4 0.003765 s: ring_equiv.to_opposite 0.002573 s: ring_equiv.to_opposite.equations._eqn_1 0.000374 s: onote.scale._main 0.000016 s: onote.scale 0.000740 s: onote.power_aux._main 0.000044 s: onote.power_aux 0.000568 s: onote.power_aux._main.equations._eqn_2 0.000152 s: onote.power_aux.equations._eqn_2 0.004701 s: continuous_linear_map.coe_sum 0.009422 s: continuous_linear_map.coe_sum' 0.002542 s: continuous_linear_map.sum_apply 0.013556 s: has_fderiv_at_filter.sum 0.005930 s: has_fderiv_at.sum 0.008750 s: fderiv_sum 0.001029 s: filter.germ.coe_coe_mul_hom 0.000271 s: option.decidable_forall_mem._main._proof_2 0.000249 s: option.decidable_forall_mem._main._proof_3 0.000710 s: option.decidable_forall_mem._main.equations._eqn_2 0.001916 s: map_mul_left_nhds_one 0.000520 s: category_theory.shift_zero_eq_zero 0.002225 s: nat.gcd_mul_right_left 0.000185 s: nat.gcd_mul_right_right 0.000078 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_1 0.000198 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_2 0.000098 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_3 0.000049 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_4 0.003680 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_5 0.000080 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_6 0.000028 s: nat.prod_dvd_and_dvd_of_dvd_prod._proof_7 0.008821 s: nat.prod_dvd_and_dvd_of_dvd_prod 0.013835 s: nat.gcd_mul_dvd_mul_gcd 0.004557 s: nat.gcd_mul_gcd_of_coprime_of_mul_eq_mul 0.001881 s: alg_hom.no_confusion_type 0.084279 s: has_fderiv_at_inv 0.125971 s: fderiv_inv 0.016354 s: category_theory.limits.cokernel.zero_cocone._proof_1 0.002741 s: category_theory.limits.cokernel.zero_cocone 0.005914 s: category_theory.limits.cokernel.is_colimit_cocone_zero_cocone._proof_1 0.000227 s: category_theory.limits.zero_of_from_zero 0.003126 s: category_theory.limits.cokernel.is_colimit_cocone_zero_cocone._proof_2 0.001517 s: category_theory.limits.cokernel.is_colimit_cocone_zero_cocone 0.001613 s: category_theory.limits.cokernel.of_epi 0.012802 s: is_glb.mem_lower_bounds_of_tendsto 0.003066 s: is_glb.mem_upper_bounds_of_tendsto 0.000023 s: category_theory.small_groupoid 0.000489 s: omega.int.neg_free._main 0.013227 s: polynomial.is_root_of_eval₂_map_eq_zero 0.010852 s: Sup_inter_le 0.000654 s: uniform_embedding.dcases_on 0.001625 s: uniform_inducing.dcases_on 0.005527 s: uniform_embedding_def 0.001186 s: dist_sub_sub_le 0.000118 s: complete_lattice.independent 0.000206 s: complete_lattice.independent_empty 0.000255 s: set.ord_connected.inter'.equations._eqn_1 0.006093 s: exists_open_nhds_one_split 0.003001 s: exists_nhds_one_split 0.002517 s: add_equiv.to_Group_iso_hom 0.005115 s: alg_equiv.aut_congr._proof_1 0.009676 s: alg_equiv.aut_congr._proof_2 0.007213 s: alg_equiv.mul_apply 0.006500 s: alg_equiv.aut_congr._proof_3 0.003196 s: alg_equiv.aut_congr 0.009160 s: alg_equiv.aut_congr_refl 0.000134 s: int.to_nat'._main 0.000022 s: int.to_nat' 0.000953 s: int.to_nat'._main.equations._eqn_1 0.000081 s: int.to_nat'.equations._eqn_1 0.001594 s: pfunctor.M.is_bisimulation 0.000411 s: ring_quot.has_neg.equations._eqn_1 0.000742 s: int.add_lt_add 0.000269 s: int.sub_lt_sub 0.000251 s: lex_partial_order._proof_1 0.000203 s: lex_partial_order._proof_2 0.000597 s: lex_partial_order._proof_3 0.017382 s: lex_partial_order._proof_4 0.003690 s: lex_partial_order 0.007756 s: lex_linear_order._proof_10 0.002281 s: category_theory.op_equiv_apply 0.000763 s: add_monoid_hom.coe_fn._proof_2 0.009321 s: submodule.semi_normed_group.equations._eqn_1 0.000332 s: turing.TM1.step_aux.equations._eqn_6 0.015321 s: bilin_form.add_comm_group._proof_15 0.006942 s: pgame.zero_add_relabelling._main 0.000083 s: pgame.zero_add_relabelling 0.000097 s: pgame.zero_add_equiv 0.002538 s: surreal.ordered_add_comm_group._proof_2 0.002380 s: continuous_linear_map.coe_snd' 0.200268 s: interval_integral.integral_sub_integral_sub_linear_is_o_of_tendsto_ae 0.000853 s: interval_integral.FTC_filter.nhds 0.275741 s: interval_integral.integral_has_strict_fderiv_at_of_tendsto_ae 0.255059 s: interval_integral.integral_has_fderiv_at_of_tendsto_ae 0.282301 s: interval_integral.fderiv_integral_of_tendsto_ae 0.000285 s: domain.npow._default 0.000334 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.below 0.024327 s: nat.to_pnat 0.001787 s: nat.to_pnat.equations._eqn_1 0.000102 s: has_repr.cases_on 0.000105 s: has_repr.no_confusion_type 0.000781 s: int.div_eq_of_eq_mul_left 0.000197 s: category_theory.non_preadditive_abelian.has_add 0.000740 s: category_theory.non_preadditive_abelian.add_def 0.000417 s: category_theory.non_preadditive_abelian.neg_def 0.000534 s: category_theory.non_preadditive_abelian.sub_def 0.001105 s: category_theory.limits.cokernel.condition_assoc 0.001787 s: category_theory.non_preadditive_abelian.diag_σ 0.003949 s: category_theory.limits.cokernel.cokernel_iso 0.002284 s: category_theory.non_preadditive_abelian.is_colimit_σ._proof_1 0.001653 s: category_theory.non_preadditive_abelian.is_colimit_σ 0.001600 s: category_theory.limits.prod.diag_map 0.001263 s: category_theory.limits.prod.diag_map_assoc 0.003039 s: category_theory.non_preadditive_abelian.lift_σ 0.002889 s: category_theory.non_preadditive_abelian.lift_map 0.001577 s: category_theory.non_preadditive_abelian.lift_map_assoc 0.008502 s: category_theory.non_preadditive_abelian.σ_comp 0.001783 s: category_theory.limits.prod.lift_map_assoc 0.004101 s: category_theory.non_preadditive_abelian.lift_sub_lift 0.002601 s: category_theory.non_preadditive_abelian.sub_sub_sub 0.002956 s: category_theory.non_preadditive_abelian.sub_zero 0.001918 s: category_theory.non_preadditive_abelian.sub_add 0.003392 s: category_theory.non_preadditive_abelian.sub_self 0.002941 s: category_theory.non_preadditive_abelian.neg_neg 0.000957 s: category_theory.non_preadditive_abelian.add_neg 0.001891 s: category_theory.non_preadditive_abelian.neg_sub' 0.002526 s: category_theory.non_preadditive_abelian.add_assoc 0.001217 s: category_theory.non_preadditive_abelian.add_zero 0.004949 s: category_theory.non_preadditive_abelian.preadditive._proof_1 0.002582 s: category_theory.non_preadditive_abelian.preadditive._proof_2 0.002238 s: category_theory.non_preadditive_abelian.preadditive._proof_3 0.002300 s: category_theory.non_preadditive_abelian.preadditive._proof_4 0.011039 s: category_theory.non_preadditive_abelian.preadditive._proof_5 0.002235 s: category_theory.non_preadditive_abelian.neg_sub 0.003765 s: category_theory.non_preadditive_abelian.add_comm 0.001239 s: category_theory.non_preadditive_abelian.add_neg_self 0.002058 s: category_theory.non_preadditive_abelian.neg_add_self 0.003648 s: category_theory.non_preadditive_abelian.sub_comp 0.002277 s: category_theory.non_preadditive_abelian.add_comp 0.001427 s: category_theory.non_preadditive_abelian.comp_sub 0.001952 s: category_theory.non_preadditive_abelian.comp_add 0.016688 s: category_theory.non_preadditive_abelian.preadditive 0.003748 s: category_theory.preadditive.add_comp' 0.002393 s: category_theory.preadditive.comp_add' 0.001132 s: category_theory.limits.has_zero_morphisms.cases_on 0.007233 s: _private.1926139.ext_aux 0.001503 s: category_theory.limits.has_zero_morphisms.ext 0.000127 s: category_theory.limits.has_zero_morphisms.subsingleton 0.001801 s: category_theory.non_preadditive_abelian.abelian._proof_4 0.000730 s: computation.lift_rel_aux._main.equations._eqn_1 0.000298 s: computation.lift_rel_aux.equations._eqn_1 0.000495 s: computation.lift_rel_aux._main.equations._eqn_2 0.000365 s: computation.lift_rel_aux.equations._eqn_2 0.000247 s: computation.lift_rel_aux.equations._eqn_4 0.002093 s: computation.lift_rel_aux.swap 0.002462 s: computation.lift_rel_aux.ret_left 0.001045 s: computation.lift_rel_aux.ret_right 0.007900 s: linear_map.coe_restrict_scalars_eq_coe 0.000181 s: nat.coprime_pow_primes 0.001859 s: category_theory.grothendieck.hom.rec_on 0.000381 s: rec_subsingleton 0.001744 s: cardinal.mk_list_eq_sum_pow 0.000713 s: equiv.sum_arrow_equiv_prod_arrow._proof_1 0.000438 s: equiv.sum_arrow_equiv_prod_arrow._proof_2 0.000440 s: equiv.sum_arrow_equiv_prod_arrow 0.000970 s: cardinal.power_add 0.000157 s: equiv.punit_arrow_equiv._proof_1 0.000044 s: equiv.punit_arrow_equiv._proof_2 0.000183 s: equiv.punit_arrow_equiv 0.000367 s: cardinal.power_one 0.006434 s: cardinal.pow_le 0.000209 s: equiv.sigma_congr_left._proof_1 0.000944 s: equiv.sigma_congr_left._match_1 0.003325 s: equiv.sigma_congr_left._match_2 0.001151 s: equiv.sigma_congr_left._proof_2 0.000498 s: equiv.sigma_congr_left._match_3 0.003717 s: equiv.sigma_congr_left._match_4 0.001626 s: equiv.sigma_congr_left._proof_3 0.002613 s: equiv.sigma_congr_left 0.003504 s: cardinal.mk_list_eq_mk 0.068606 s: asymptotics.div_is_bounded_under_of_is_O 0.043242 s: asymptotics.is_O_iff_div_is_bounded_under 0.000631 s: norm_le_norm_add_const_of_dist_le 0.015137 s: is_bounded_under_of_tendsto 0.002805 s: asymptotics.is_O_of_div_tendsto_nhds 0.000801 s: set.Inter_eq_comp_Union_comp 0.000357 s: turing.TM1to1.Λ'.sizeof 0.000388 s: turing.TM1to1.Λ'.write.sizeof_spec 0.000202 s: normed_space.dual.normed_space._proof_1 0.013629 s: normed_space.dual.normed_space 0.001596 s: category_theory.preadditive.neg_comp_neg 0.000992 s: category_theory.preadditive.neg_comp_neg_assoc 0.089288 s: smooth_bump_covering.cases_on 0.000787 s: Meas.coe_of 0.026875 s: category_theory.is_kernel_pair.cancel_right._proof_2 0.007745 s: category_theory.is_kernel_pair.cancel_right 0.001318 s: category_theory.is_kernel_pair.cancel_right_of_mono._proof_1 0.000646 s: category_theory.is_kernel_pair.cancel_right_of_mono 0.000275 s: to_string.equations._eqn_1 0.000734 s: inner_product_space.of_core.inner_self_im_zero 0.001142 s: inner_product_space.of_core.inner_zero_right 0.032073 s: inner_product_space.of_core.inner_add_add_self 0.130494 s: inner_product_space.of_core.to_normed_group._proof_1 0.000436 s: inner_product_space.of_core.to_normed_group 0.039495 s: is_R_or_C.conj_mul_eq_norm_sq_left 0.003030 s: inner_product_space.of_core.norm_sq 0.003016 s: inner_product_space.of_core.inner_norm_sq_eq_inner_self 0.001914 s: inner_product_space.of_core.sqrt_norm_sq_eq_norm 0.009960 s: inner_product_space.of_core.to_normed_space._proof_1 0.000665 s: inner_product_space.of_core.to_normed_space 0.003305 s: inner_product_space.of_core._proof_1 0.003062 s: inner_product_space.of_core 0.017490 s: quaternion.has_inner 0.025362 s: quaternion.inner_def 0.021923 s: quaternion.inner_product_space._proof_1 0.362234 s: quaternion.norm_sq_nonneg 0.010811 s: quaternion.inner_product_space._proof_2 0.210398 s: quaternion.inner_product_space._proof_3 0.091083 s: quaternion.inner_product_space._proof_4 0.015235 s: quaternion.smul_re 0.118996 s: quaternion.inner_product_space._proof_5 0.232514 s: quaternion.inner_product_space 0.015757 s: norm_eq_sqrt_real_inner 0.006764 s: quaternion.inner_self 0.035356 s: quaternion.norm_mul 0.015266 s: complete_distrib_lattice.copy._proof_15 0.000064 s: Class.has_inter 0.002084 s: Set.mem_inter 0.003301 s: Class.inter_hom 0.001207 s: category_theory.limits.cones.equivalence_of_reindexing 0.040550 s: category_theory.limits.is_limit.cone_points_iso_of_equivalence._proof_1 0.041770 s: category_theory.limits.is_limit.cone_points_iso_of_equivalence._proof_2 0.013286 s: category_theory.limits.is_limit.cone_points_iso_of_equivalence 0.005553 s: category_theory.limits.is_limit.cone_points_iso_of_equivalence.equations._eqn_1 0.004786 s: ring_quot.lift_alg_hom_unique 0.001588 s: nat.gcd_def 0.011380 s: affine_map.weighted_vsub_of_point._proof_1 0.001995 s: is_lawful_monad_cont.mk.inj 0.001953 s: is_lawful_monad_cont.mk.inj_arrow 0.000043 s: turing.to_partrec.cont.eval 0.000795 s: turing.to_partrec.cont.eval._sunfold 0.000759 s: set.Icc.semilattice_inf._proof_1 0.000515 s: set.Icc.semilattice_inf 0.000903 s: set.Icc.semilattice_inf_top._proof_7 0.000588 s: measure_theory.extend_congr 0.000319 s: ring_hom.restrict_roots_of_unity._proof_2 0.037600 s: ring_hom.restrict_roots_of_unity._proof_3 0.044504 s: ring_hom.restrict_roots_of_unity._proof_4 0.008239 s: subgroup.coe_mul 0.077650 s: ring_hom.restrict_roots_of_unity._proof_5 0.033420 s: ring_hom.restrict_roots_of_unity 0.001184 s: nat.of_digits._main.equations._eqn_2 0.000276 s: nat.of_digits.equations._eqn_2 0.020986 s: nat.of_digits_one 0.001100 s: nat.digits_one_succ 0.003047 s: nat.of_digits_one_cons 0.005543 s: nat.digits_add_two_add_one 0.000489 s: nat.div_lt_self' 0.037298 s: nat.of_digits_digits 0.000118 s: nat.of_digits_modeq 0.006362 s: nat.modeq_digits_sum 0.000458 s: norm_num.nat_mod 0.016256 s: nat.modeq_three_digits_sum 0.006239 s: set.Ici_subset_Ico_union_Ici 0.000387 s: set.Ici_subset_Icc_union_Ici 0.024257 s: category_theory.functor.flip.equations._eqn_1 0.008373 s: nat.factors._main._pack.equations._eqn_3 0.000111 s: nat.factors._main.equations._eqn_3 0.000087 s: nat.factors.equations._eqn_3 0.000313 s: category_theory.with_terminal 0.000150 s: category_theory.with_terminal.cases_on 0.000148 s: category_theory.with_terminal.hom._main 0.000036 s: category_theory.with_terminal.hom 0.000731 s: category_theory.with_terminal.id._main 0.000069 s: category_theory.with_terminal.id 0.001218 s: category_theory.with_terminal.comp._main 0.000068 s: category_theory.with_terminal.comp 0.003218 s: category_theory.with_terminal.category_theory.category._proof_1 0.003031 s: category_theory.with_terminal.category_theory.category._proof_2 0.010691 s: category_theory.with_terminal.category_theory.category._proof_3 0.001161 s: category_theory.with_terminal.category_theory.category 0.000410 s: category_theory.with_terminal.quiver.hom.unique._match_1 0.001839 s: category_theory.with_terminal.quiver.hom.unique._proof_1 0.000222 s: category_theory.with_terminal.quiver.hom.unique 0.000474 s: category_theory.with_terminal.is_iso_of_from_star._aux_1 0.000867 s: category_theory.with_terminal.is_iso_of_from_star._aux_2 0.003516 s: category_theory.with_terminal.is_iso_of_from_star 0.003110 s: category_theory.with_terminal.is_iso_of_from_star.equations._eqn_1 0.006174 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly.equations._eqn_1 0.001308 s: is_local_min_on.bicomp_mono 0.001357 s: homeomorph.cases_on 0.001591 s: homeomorph.to_equiv_injective 0.000794 s: homeomorph.ext 0.001026 s: ite_vadd 0.001237 s: holor.add_monoid._proof_1 0.000811 s: holor.add_monoid._proof_2 0.000764 s: holor.add_monoid._proof_3 0.002874 s: holor.add_monoid._proof_4 0.003065 s: holor.add_monoid._proof_5 0.001285 s: holor.add_monoid 0.003409 s: category_theory.lax_monoidal.sizeof 0.005661 s: category_theory.lax_monoidal.mk.sizeof_spec 0.000526 s: add_subgroup.to_ordered_add_comm_group._proof_2 0.139737 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom._proof_4 0.000276 s: mvqpf.comp 0.000097 s: mvqpf.comp.get 0.000068 s: mvqpf.comp.mk 0.000256 s: mvqpf.comp.get_mk 0.015705 s: turing.TM2.stmts₁._main 0.001878 s: turing.TM2.stmts₁._main.equations._eqn_1 0.000120 s: power_series.comm_semiring 0.000190 s: power_series.order 0.001964 s: mv_power_series.coeff_X_pow 11.605639 s: mv_power_series.X_pow_dvd_iff 0.016743 s: power_series.X_pow_dvd_iff 0.242238 s: power_series.coeff_order 0.000811 s: array.reverse._match_1 0.033678 s: category_theory.limits.prod.map_comp_id 0.032927 s: complex.cpow_neg 0.034229 s: complex.cpow_int_cast 0.091321 s: complex.of_real_fpow 0.014469 s: real.rpow_int_cast 0.011881 s: real.rpow_neg_one 0.110733 s: mv_polynomial.evalₗ._proof_1 0.000777 s: is_free_group.sizeof 0.015926 s: is_free_group.mk.sizeof_spec 0.012867 s: category_theory.Mat_.embedding.category_theory.functor.additive 0.004825 s: category_theory.Mat_.embedding.category_theory.functor.additive.equations._eqn_1 0.003348 s: nat.find_lt_iff 0.002947 s: nat.le_find_iff 0.000265 s: set.has_emptyc.equations._eqn_1 0.000066 s: io.process.spawn_args.env._default 0.000274 s: sequentially_continuous 0.000924 s: continuous.to_sequentially_continuous 0.000100 s: is_seq_closed 0.000852 s: subset_sequential_closure 0.000239 s: is_seq_closed_of_is_closed 0.000239 s: is_seq_closed_iff_is_closed 0.001394 s: is_seq_closed_of_def 0.000634 s: mem_of_is_seq_closed 0.000208 s: mem_of_is_closed_sequential 0.001891 s: continuous_iff_sequentially_continuous 0.001551 s: category_theory.limits.punit_cocone_is_colimit._aux_1 0.000052 s: string.empty.equations._eqn_1 0.000522 s: cardinal.aleph_lt 0.006088 s: cardinal.aleph_le 0.000166 s: unification_hint.cases_on 0.000084 s: unification_hint.no_confusion_type 0.000331 s: unification_hint.no_confusion 0.000160 s: unification_hint.mk.inj 0.001642 s: category_theory.colimit_adj.elements.initial.equations._eqn_1 0.000204 s: is_subgroup.normalizer 0.000566 s: is_subgroup.normalizer.equations._eqn_1 0.007952 s: is_subgroup.normalizer_is_subgroup 0.006406 s: is_subgroup.normalizer_is_subgroup.equations._eqn_1 0.000072 s: pos_num.ldiff 0.000110 s: num.ldiff._main 0.000112 s: num.ldiff._main.equations._eqn_2 0.020853 s: bitvec.to_fin._proof_1 0.000124 s: bitvec.add_lsb 0.000056 s: bitvec.bits_to_nat 0.000078 s: bitvec.to_nat 0.000240 s: bitvec.to_fin 0.000103 s: bitvec.of_fin 0.000071 s: bitvec.preorder 0.000273 s: bitvec.to_fin.equations._eqn_1 0.001151 s: fin.coe_of_nat_eq_mod' 0.001396 s: bitvec.to_nat_eq_foldr_reverse 0.000068 s: bitvec.add_lsb.equations._eqn_1 0.013016 s: bitvec.add_lsb_eq_twice_add_one 0.000151 s: tactic.interactive.apply_rel._proof_1 0.000081 s: tactic.interactive.apply_rel._proof_2 0.000120 s: tactic.interactive.apply_rel 0.000457 s: mul_mono_nonneg 0.038095 s: bitvec.to_nat_lt 0.007532 s: bitvec.to_fin_val 0.000208 s: bitvec.of_nat._main.equations._eqn_1 0.000044 s: bitvec.of_nat.equations._eqn_1 0.000137 s: vector.to_list_nil 0.000709 s: bitvec.of_nat._main.equations._eqn_2 0.000279 s: bitvec.of_nat.equations._eqn_2 0.003846 s: vector.to_list_append 0.008103 s: norm_num.nat_div 0.023595 s: bitvec.add_lsb_div_two 0.000035 s: bool.to_bool_false 0.028690 s: bitvec.to_bool_add_lsb_mod_two 0.010412 s: bitvec.of_nat_to_nat 0.001666 s: bitvec.of_fin_to_fin 0.001650 s: bitvec.of_nat_succ 0.000078 s: bitvec.bits_to_nat_to_list 0.000473 s: vector.singleton_tail 0.002270 s: vector.to_list_singleton 0.000069 s: bitvec.bits_to_nat.equations._eqn_1 0.000304 s: list.foldl._main.equations._eqn_1 0.000109 s: list.foldl.equations._eqn_1 0.008634 s: bitvec.to_nat_append 0.001487 s: bitvec.bits_to_nat_to_bool 0.001359 s: nat.sub_mul_mod 0.013066 s: nat.mod_pow_succ 0.008704 s: bitvec.to_nat_of_nat 0.004754 s: bitvec.of_fin_le_of_fin_of_le 0.003386 s: bitvec.random_r._proof_1 0.001100 s: is_metric_separated.finset_Union_left_iff 0.006945 s: equiv.subtype_preimage._match_2.equations._eqn_1 0.074738 s: dual_pair.finite 0.080088 s: dual_pair.coeffs._proof_1 0.112450 s: has_fderiv_within_at.ccosh 0.103948 s: fderiv_within_ccosh 0.013628 s: polynomial.nat_degree_lt_coeff_mul 0.000170 s: uliftable.no_confusion_type 0.000382 s: uliftable.no_confusion 0.000212 s: uliftable.mk.inj 0.000220 s: uliftable.mk.inj_arrow 0.002616 s: category_theory.pullback_arrows.rec_on 0.005851 s: category_theory.triangulated.pretriangulated.distinguished_cocone_triangle 0.000200 s: has_continuous_inv'.sizeof 0.000250 s: parser.numeral.bounded 0.033637 s: linear_pmap.cod_restrict 0.011966 s: division_ring.sizeof 0.015401 s: division_ring.mk.sizeof_spec 0.000610 s: flow.has_coe_to_fun.equations._eqn_1 0.000308 s: is_strict_total_order 0.003223 s: is_strict_weak_order_of_is_total_preorder 0.000302 s: has_le.le.is_total_preorder 0.002440 s: is_strict_weak_order_of_linear_order 0.000123 s: is_strict_weak_order.to_is_incomp_trans 0.000357 s: is_strict_total_order_of_linear_order 0.001083 s: ideal.is_prime.mul_mem_iff_mem_or_mem 0.007356 s: multilinear_curry_left_equiv._proof_1 0.000602 s: charted_space.sizeof 0.000071 s: charted_space.has_sizeof_inst 0.006468 s: linear_equiv.of_injective_apply 0.015793 s: lie_equiv.of_injective._proof_3 0.000154 s: has_sep.rec_on 0.007135 s: nat.not_even_one 0.003093 s: nat.even_mul 0.000062 s: nat.even.decidable_pred._proof_1 0.000075 s: nat.even.decidable_pred 0.006800 s: nat.even_pow 0.000079 s: generalized_continued_fraction.int_fract_pair.mapFr 0.000220 s: mvfunctor.id_map 0.002362 s: typevec.append_fun_id_id 0.000193 s: typevec.arrow.mp._main 0.000193 s: typevec.arrow.mp 0.000182 s: typevec.from_append1_drop_last 0.032950 s: typevec.drop_fun_to_subtype 0.034052 s: typevec.drop_fun_prod 0.001505 s: typevec.drop_fun_append_fun 0.010495 s: typevec.last_fun_to_subtype 0.000981 s: typevec.last_fun_from_append1_drop_last 0.000460 s: typevec.last_fun.equations._eqn_1 0.008539 s: typevec.last_fun_prod 0.179449 s: mvqpf.liftr_map_last 0.006389 s: mvqpf.liftr_map_last' 0.007788 s: finset.mem_mul_antidiagonal 0.005012 s: finset.support_mul_antidiagonal_subset_mul 0.000737 s: category_theory.with_terminal.quiver.hom.unique._match_1.equations._eqn_2 0.002368 s: with_top.add_semigroup.equations._eqn_1 0.000457 s: fixed_points.to_alg_hom_equiv._proof_1 0.000213 s: fixed_points.to_alg_hom_equiv._proof_2 0.002364 s: fixed_points.to_alg_hom_equiv 0.001348 s: set.Iic.semilattice_sup.equations._eqn_1 0.000178 s: open_embedding.to_local_homeomorph._proof_1 0.000576 s: open_embedding.to_local_homeomorph._proof_2 0.001855 s: open_embedding.to_local_homeomorph 0.000707 s: topological_space.opens.local_homeomorph_subtype_coe._proof_1 0.002552 s: topological_space.opens.local_homeomorph_subtype_coe 0.000655 s: local_homeomorph.subtype_restr 0.000342 s: topological_space.opens.charted_space._proof_2 0.000915 s: local_homeomorph.subtype_restr_def 0.001574 s: topological_space.opens.local_homeomorph_subtype_coe_source 0.001246 s: topological_space.opens.local_homeomorph_subtype_coe_coe 0.003118 s: local_homeomorph.subtype_restr_source 0.003776 s: topological_space.opens.charted_space._proof_3 0.002454 s: topological_space.opens.charted_space._proof_4 0.002470 s: topological_space.opens.charted_space 0.001054 s: set.Iic.semilattice_sup_bot._proof_6 0.004275 s: category_theory.functor.const.op_obj_op._proof_1 0.001665 s: stereo_inv_fun_aux.equations._eqn_1 0.007719 s: pgame.of_aux_relabelling._main._proof_5 0.000323 s: ring_equiv.to_monoid_hom 0.028296 s: localization_map.ring_equiv_of_ring_equiv._proof_1 0.066383 s: localization_map.ring_equiv_of_ring_equiv 0.059837 s: localization_map.ring_equiv_of_ring_equiv_eq_map_apply 0.012643 s: free_add_magma.pure_seq 0.003147 s: matrix.nonsing_inv_det 0.000282 s: nat.arithmetic_function.is_multiplicative 0.000326 s: nat.arithmetic_function.is_multiplicative.map_one 0.000312 s: nat.arithmetic_function.is_multiplicative.map_mul_of_coprime 0.006664 s: nat.arithmetic_function.is_multiplicative.pmul 0.001293 s: Mod.hom.no_confusion_type 0.001352 s: Mod.hom.no_confusion 0.001535 s: Mod.hom.mk.inj 0.001614 s: Mod.hom.mk.inj_arrow 0.000567 s: slim_check.trace_if_giveup._main 0.000260 s: slim_check.trace_if_giveup._main.equations._eqn_3 0.000200 s: cast_znum._main.equations._eqn_1 0.000221 s: set.Iic.semilattice_sup_top._proof_1 0.000355 s: set.Iic.semilattice_sup_top._proof_3 0.000728 s: set.Iic.semilattice_sup_top._proof_4 0.000890 s: set.Iic.semilattice_sup_top._proof_5 0.001434 s: set.Iic.semilattice_sup_top._proof_6 0.000517 s: set.Iic.semilattice_sup_top._proof_7 0.001031 s: set.Iic.semilattice_sup_top._proof_8 0.004676 s: set.Iic.semilattice_sup_top 0.004002 s: set.Iic.semilattice_sup_top.equations._eqn_1 0.002290 s: nhds_eq_nhds_iff 0.006805 s: quiver.path.reverse._main.equations._eqn_2 0.000597 s: additive.linear_ordered_add_comm_monoid_with_top._proof_4 0.000107 s: int.measurable_space 0.000515 s: equiv.sum_prod_distrib._match_2.equations._eqn_1 0.003752 s: subalgebra.no_zero_divisors.equations._eqn_1 0.000456 s: monoid_algebra.to_additive._proof_1 0.000309 s: monoid_algebra.to_additive._proof_2 0.005785 s: finsupp.map_domain_sum 0.022337 s: monoid_algebra.map_domain_mul 0.013709 s: monoid_algebra.to_additive._proof_3 0.000665 s: monoid_algebra.to_additive._proof_4 0.005150 s: monoid_algebra.to_additive 0.000128 s: functor.liftp 0.001186 s: pfunctor.map_eq 0.002978 s: pfunctor.liftp_iff 0.003417 s: pfunctor.liftp_iff' 0.000354 s: AddMagma.large_category 0.000197 s: AddMagma.concrete_category 0.000588 s: AddSemigroup.has_forget_to_AddMagma 0.000406 s: AddSemigroup.has_forget_to_AddMagma.equations._eqn_1 0.019178 s: canonically_ordered_monoid 0.004053 s: canonically_ordered_monoid.mul 0.003858 s: canonically_ordered_monoid.mul_assoc 0.002835 s: canonically_ordered_monoid.mul_comm 0.000290 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_17 0.000076 s: psum.inhabited_left 0.005739 s: dfinsupp.map_range.linear_map_apply 0.000449 s: category_theory.coalgebra_to_over._proof_2 0.000445 s: category_theory.coalgebra_to_over._proof_3 0.002361 s: category_theory.over.mk_hom 0.023753 s: category_theory.coalgebra_to_over._proof_4 0.026964 s: category_theory.coalgebra_to_over._proof_5 0.034400 s: category_theory.coalgebra_to_over._proof_6 0.036463 s: category_theory.coalgebra_to_over 0.000468 s: category_theory.over_to_coalgebra._proof_1 0.014769 s: category_theory.over_to_coalgebra._proof_2 0.021311 s: category_theory.over_to_coalgebra._proof_3 0.001181 s: category_theory.over_to_coalgebra._proof_4 0.010261 s: category_theory.over_to_coalgebra._proof_5 0.023527 s: category_theory.over_to_coalgebra._proof_6 0.011889 s: category_theory.over_to_coalgebra._proof_8 0.024712 s: category_theory.over_to_coalgebra._proof_9 0.061744 s: 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onote.split._main.equations._eqn_2 0.000255 s: onote.split.equations._eqn_2 0.000137 s: onote.split._match_1.equations._eqn_1 0.000298 s: onote.scale._main.equations._eqn_2 0.000176 s: onote.scale.equations._eqn_2 0.001481 s: onote.oadd.inj_eq 0.007548 s: onote.split_eq_scale_split' 0.000332 s: onote.power._match_3.equations._eqn_1 0.001008 s: onote.mul._main.equations._eqn_4 0.000162 s: onote.mul.equations._eqn_4 0.008807 s: onote.scale_eq_mul 0.000252 s: onote.NF_scale 0.005354 s: onote.power._match_3.equations._eqn_2 0.001468 s: onote.mul_nat_eq_mul 0.002643 s: onote.power_aux._main.equations._eqn_4 0.000192 s: onote.power_aux.equations._eqn_4 0.002577 s: onote.NF_power_aux._main 0.000054 s: onote.NF_power_aux 0.002309 s: ordinal.nat_cast_mul 0.002678 s: ordinal.nat_cast_succ 0.004254 s: ordinal.add_mul_limit_aux 0.002618 s: ordinal.add_mul_succ 0.000115 s: ordinal.add_mul_limit 0.003500 s: ordinal.is_normal.limit_lt 0.004510 s: ordinal.is_normal.is_limit 0.000166 s: 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onote.power_aux.equations._eqn_1 0.001323 s: onote.power_aux._main.equations._eqn_3 0.000066 s: onote.power_aux.equations._eqn_3 0.006275 s: onote.scale_power_aux 0.009271 s: ordinal.mul_lt_omega_power 0.001069 s: ordinal.div_lt 0.004599 s: ordinal.nat_lt_limit 0.003922 s: ordinal.sub_is_limit 0.000079 s: ordinal.add_is_limit 0.001583 s: ordinal.mul_is_limit_left 0.003705 s: ordinal.is_limit_iff_omega_dvd 0.000104 s: ordinal.dvd_add 0.035000 s: onote.repr_power_aux₂ 0.032227 s: onote.repr_power 0.004211 s: nonote.repr_power 0.009709 s: continuous_map_comm_group._proof_8 0.000895 s: game.add_assoc 0.000221 s: game.add_semigroup 0.000506 s: game.add_comm_semigroup 0.000511 s: game.zero_add 0.000144 s: pgame.add_zero_equiv 0.000427 s: game.add_zero 0.000472 s: game.add_monoid._proof_1 0.000284 s: game.add_monoid._proof_2 0.003889 s: game.add_monoid 0.001030 s: game.add_group._proof_1 0.003327 s: game.add_group 0.002916 s: game.add_comm_group 0.000326 s: game.le._proof_1 0.000374 s: 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applicative_transformation.app_eq_coe 0.000261 s: dlist.concat._sunfold 0.001524 s: tsum_add_tsum_compl 0.000250 s: category_theory.creates_limits.sizeof 0.000177 s: category_theory.creates_limits.has_sizeof_inst 0.000804 s: subfield.no_confusion_type 0.005954 s: category_theory.adjunction.adjunction_of_equiv_right_unit_app 0.001279 s: category_theory.limits.is_image.sizeof 0.001983 s: category_theory.limits.is_image.mk.sizeof_spec 0.000130 s: add_monoid_hom.inl._proof_1 0.000638 s: add_monoid_hom.inl 0.004685 s: add_submonoid.map_inl 0.001614 s: add_submonoid.mrange_inl 0.005838 s: add_submonoid.prod_mono 0.123594 s: add_submonoid.prod_bot_sup_bot_prod 0.022631 s: add_submonoid.top_prod 0.091401 s: add_submonoid.comap_top 0.000574 s: add_submonoid.top_prod_top 0.017239 s: add_submonoid.mrange_inl_sup_mrange_inr 0.000026 s: bool.ff.inj 0.000024 s: bool.ff.inj_arrow 0.000029 s: surreal.has_lt 0.000101 s: category_theory.pi' 0.000704 s: category_theory.pi.eval._proof_1 0.002397 s: 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s: wseq.equiv.equivalence 0.000287 s: equiv.swap.equations._eqn_1 0.000048 s: ereal 0.000860 s: lawful_fix.cases_on 0.001541 s: linear_map.module.End.division_ring._proof_4 0.003111 s: canonically_linear_ordered_monoid.mul_assoc 0.000173 s: complex.continuous_on_sin 0.289767 s: line_map_le_line_map_iff_of_lt 0.136986 s: left_le_line_map_iff_le 0.000092 s: nat.decidable_eq._main._proof_2 0.000408 s: nat.decidable_eq._main.equations._eqn_3 0.000563 s: relator.right_total 0.000185 s: relator.right_total.drec_on 0.018183 s: continuous_linear_map.coprod.equations._eqn_1 0.001500 s: additive.add_semigroup.equations._eqn_1 0.000732 s: list.mmap_with_index_aux._main 0.000094 s: list.mmap_with_index_aux 0.001461 s: is_closed_map_mul_left 0.003253 s: matrix.mul_mul_left 0.166277 s: matrix_equiv_tensor.to_fun_alg_hom._proof_1 0.169869 s: matrix_equiv_tensor.to_fun_alg_hom 0.000337 s: matrix.std_basis_matrix 0.015441 s: matrix_equiv_tensor.inv_fun 0.001121 s: matrix_equiv_tensor.inv_fun.equations._eqn_1 0.103020 s: matrix_equiv_tensor.inv_fun_zero 0.134780 s: matrix_equiv_tensor.to_fun_alg_hom.equations._eqn_1 0.029896 s: algebra.tensor_product.alg_hom_of_linear_map_tensor_product.equations._eqn_1 0.210352 s: matrix_equiv_tensor.to_fun_alg_hom_apply 0.118948 s: matrix_equiv_tensor.inv_fun_smul 0.000513 s: matrix.std_basis_matrix.equations._eqn_1 0.020545 s: matrix.matrix_eq_sum_std_basis 0.004008 s: matrix.smul_std_basis_matrix 0.011323 s: matrix_equiv_tensor.inv_fun_algebra_map 0.099000 s: matrix_equiv_tensor.inv_fun_add 0.143327 s: matrix_equiv_tensor.left_inv 0.070681 s: matrix_equiv_tensor.equiv._proof_1 0.130738 s: matrix_equiv_tensor.right_inv 0.067674 s: matrix_equiv_tensor.equiv._proof_2 0.065354 s: matrix_equiv_tensor.equiv 0.008534 s: matrix_equiv_tensor._proof_2 0.000863 s: continuous_map.has_sup._proof_1 0.000458 s: continuous_map.has_sup 0.003577 s: continuous_map.le_def 0.000867 s: continuous_map.sup_apply 0.003201 s: 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linear_ordered_cancel_comm_monoid.lt._default.equations._eqn_1 0.013144 s: add_submonoid.localization_map.mk'_spec 0.002556 s: add_submonoid.localization_map.mk'_spec' 0.002170 s: category_theory.bundled_hom.mk.sizeof_spec 0.000045 s: tactic.itauto.and_kind.no_confusion_type 0.001295 s: category_theory.monoidal_category.tensor_unit_left._proof_1 0.001281 s: category_theory.monoidal_category.tensor_unit_left._proof_2 0.000698 s: category_theory.monoidal_category.tensor_unit_left 0.000787 s: category_theory.monoidal_category.left_unitor_nat_iso._proof_1 0.002901 s: category_theory.monoidal_category.left_unitor_nat_iso 0.000996 s: buffer.read._main.equations._eqn_1 0.000339 s: buffer.read.equations._eqn_1 0.000679 s: free_algebra.pre.sizeof 0.000149 s: free_algebra.pre.has_sizeof_inst 0.000606 s: free_algebra.pre.mul.sizeof_spec 0.001016 s: slim_check.and_counter_example._sunfold 0.000208 s: fp.float.no_confusion_type 0.000553 s: fp.float.no_confusion 0.000307 s: fp.float.finite.inj 0.001083 s: fp.float.finite.inj_eq 0.000066 s: ring_invo.has_sizeof_inst 0.000352 s: prod.measurable_space.equations._eqn_1 0.000030 s: add_monoid.End 0.000100 s: add_monoid.End.has_coe_to_fun 0.000095 s: padic_val_nat 0.000062 s: padic_val_nat.equations._eqn_1 0.014250 s: zero_le_padic_val_rat_of_nat 0.002700 s: padic_val_rat_of_nat 0.060926 s: padic_val_nat_def 0.031594 s: padic_val_nat_of_not_dvd 0.031339 s: is_principal_ideal_ring.rec_on 0.006966 s: int.le_of_dvd 0.006953 s: nhds_bot 0.000333 s: nhds_discrete 0.001605 s: prod.discrete_topology._match_1 0.000278 s: prod.discrete_topology 0.000262 s: has_continuous_add_of_discrete_topology 0.000056 s: flow.from_iter._proof_2 0.000505 s: matrix.block_diagonal._main 0.000202 s: matrix.block_diagonal 0.001181 s: matrix.block_diagonal'_eq_block_diagonal 0.004607 s: category_theory.over.iso_mk.equations._eqn_1 0.003748 s: category_theory.mono_over.iso_mk_inv 0.001633 s: category_theory.subobject.small_coproduct_desc._proof_2 0.003325 s: category_theory.subobject.small_coproduct_desc 0.002323 s: category_theory.subobject.Sup._proof_5 0.002032 s: add_semiconj_by.units_of_coe 0.001023 s: add_semiconj_by.units_coe 0.000288 s: add_semiconj_by.units_coe_iff 0.001861 s: galois_insertion.lift_semilattice_inf.equations._eqn_1 0.001316 s: gcd_dvd_gcd_mul_right 0.041417 s: null_measurable_set_iff_sandwich 0.017969 s: restrict_apply_of_null_measurable_set 0.000035 s: tactic.itauto.and_kind.inhabited 0.005262 s: category_theory.iso.to_linear_equiv._proof_1 0.003655 s: category_theory.iso.to_linear_equiv._proof_2 0.003850 s: category_theory.iso.to_linear_equiv._proof_3 0.002903 s: category_theory.iso.to_linear_equiv._proof_4 0.001881 s: category_theory.iso.to_linear_equiv 0.003808 s: linear_equiv_iso_Module_iso._proof_1 0.004340 s: linear_equiv_iso_Module_iso._proof_2 0.001314 s: linear_equiv_iso_Module_iso 0.000129 s: occurrences.no_confusion_type 0.000189 s: occurrences.no_confusion 0.000074 s: occurrences.pos.inj 0.000661 s: continuous_map.comp_right_alg_hom._proof_3 0.001279 s: is_open_set_pi 0.000928 s: local_homeomorph.pi._proof_1 0.001008 s: local_homeomorph.pi._proof_2 0.008252 s: local_homeomorph.pi._proof_4 0.002472 s: local_homeomorph.pi 0.000933 s: local_homeomorph.pi_to_local_equiv 0.004123 s: continuous_linear_equiv.symm.equations._eqn_1 0.007969 s: equiv.sigma_congr_right_trans 0.000216 s: order.ideal.lattice._proof_1 0.002893 s: lie_subalgebra.top_coe_submodule 0.000514 s: tactic_doc._2957245936 0.003537 s: Group.category_theory.limits.has_zero_object._proof_1 0.000910 s: Group.category_theory.limits.has_zero_object 0.000667 s: Group.category_theory.limits.has_zero_object.equations._eqn_1 0.000266 s: rack.pre_envel_group_rel'.act_incl.inj 0.000191 s: rack.pre_envel_group_rel'.act_incl.inj_eq 0.013328 s: equiv_of_dim_eq_lift_dim 0.087998 s: dim_fin_fun 0.111223 s: fin_dim_vectorspace_equiv._proof_1 0.095329 s: fin_dim_vectorspace_equiv 0.000630 s: monad_writer_adapter 0.000196 s: monad_writer_adapter.sizeof 0.000061 s: monad_writer_adapter.has_sizeof_inst 0.000667 s: typevec.arrow.mpr._sunfold 0.000285 s: stream.mem.equations._eqn_1 0.000236 s: metric.closed_ball.equations._eqn_1 0.055209 s: convex_on.convex_le 0.582047 s: convex_closed_ball 0.012074 s: category_theory.limits.binary_fan.is_limit.lift'_coe 0.000338 s: bundle_trivialization.disjoint_union._proof_3 0.014011 s: subsemiring.closure_add_submonoid_closure 0.000056 s: vm_obj_kind.expr.sizeof_spec 0.000324 s: star_ring_equiv._proof_1 0.000209 s: star_ring_equiv._proof_2 0.000214 s: star_ring_equiv._proof_3 0.000213 s: star_ring_equiv._proof_4 0.003450 s: star_ring_equiv 0.292324 s: filter.infi_sup_left 0.004039 s: filter.infi_sup_right 0.003667 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_1 0.002761 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_2 0.002431 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_3 0.002203 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_4 0.004517 s: alg_hom.mk'._proof_1 0.003321 s: alg_hom.mk' 0.019147 s: ideal.quotient.mkₐ_surjective 0.004867 s: ideal.quotient.mkₐ_eq_mk 0.007367 s: ideal.ker_lift.map_smul 0.001764 s: ideal.ker_lift_alg._proof_1 0.001079 s: ideal.ker_lift_alg 0.001392 s: ideal.quotient_ker_alg_equiv_of_right_inverse._proof_6 0.013346 s: ideal.quotient_ker_alg_equiv_of_right_inverse 0.001316 s: ideal.quotient_ker_alg_equiv_of_surjective._proof_1 0.001832 s: ideal.quotient_ker_alg_equiv_of_surjective._proof_2 0.001988 s: ideal.quotient_ker_alg_equiv_of_surjective 0.000926 s: int.cast_of_nat 0.001461 s: times_cont_mdiff_at.smooth_at 0.000941 s: absorbs 0.002074 s: smooth_map.C._proof_2 0.052407 s: category_theory.tensoring_right_monoidal._proof_4 0.000289 s: parser.foldl_core._sunfold 0.000455 s: emetric_space.to_metric_space.equations._eqn_1 0.009009 s: parser.prog.bind 0.003959 s: filter.tendsto_at_top_embedding 0.079735 s: tendsto_coe_rat_at_top_iff 0.000160 s: set.Ioc.order_top._proof_1 0.000259 s: set.Ioc.order_top._proof_2 0.000306 s: set.Ioc.order_top._proof_3 0.007071 s: set.Ioc.order_top._proof_4 0.000601 s: set.Ioc.order_top._proof_5 0.000877 s: set.Ioc.order_top._proof_6 0.005786 s: set.Ioc.order_top 0.003597 s: set.Ioc.order_top.equations._eqn_1 0.000075 s: trunc.out_eq 0.000790 s: equiv.perm.two_le_card_support_of_ne_one 0.000212 s: equiv.perm.is_cycle.two_le_card_support 0.004234 s: equiv.perm.two_le_of_mem_cycle_type 0.000397 s: equiv.perm.one_lt_of_mem_cycle_type 0.012185 s: equiv.perm.partition._proof_1 0.000468 s: equiv.perm.support_one 0.007520 s: equiv.perm.support_mul_le 0.003383 s: equiv.perm.disjoint.support_mul 0.005191 s: equiv.perm.disjoint_iff_disjoint_support 0.000390 s: equiv.perm.disjoint.disjoint_support 0.001798 s: equiv.perm.disjoint.card_support_mul 0.020935 s: equiv.perm.sum_cycle_type 0.019576 s: equiv.perm.partition._proof_2 0.000450 s: equiv.perm.partition 0.000446 s: equiv.perm.partition.equations._eqn_1 0.014340 s: ceil_nonneg 0.003025 s: mv_polynomial.coe_monomial 0.005516 s: mv_polynomial.coe_one 0.000759 s: nat.two_step_induction._main 0.000812 s: nat.two_step_induction._main.equations._eqn_3 0.000350 s: metric.Hausdorff_dist_nonneg 0.018813 s: metric.Hausdorff_dist_triangle 0.000389 s: slim_check.sampleable.sizeof 0.004138 s: slim_check.sampleable.mk.sizeof_spec 0.001128 s: set.Icc_subset_Icc_iff 0.000815 s: set.interval_subset_interval_iff_le 0.027044 s: set.abs_sub_le_of_subinterval 0.008663 s: set.interval_subset_interval 0.000198 s: set.interval_subset_interval_right 0.000326 s: set.abs_sub_right_of_mem_interval 0.083230 s: real.dist_right_le_of_mem_interval 0.015838 s: linear_ordered_add_comm_monoid_with_top.cases_on 0.006286 s: linear_ordered_add_comm_monoid_with_top.no_confusion_type 0.003608 s: linear_ordered_add_comm_monoid_with_top.no_confusion 0.012360 s: linear_ordered_add_comm_monoid_with_top.mk.inj 0.011531 s: measure_theory.tendsto_measure_Union 0.067218 s: _private.3851751645.aux 0.002924 s: set.union_diff_right 0.000111 s: set.union_inter_cancel_right 0.973705 s: measure_theory.hahn_decomposition 0.002246 s: tactic_doc._3231811489 0.000278 s: power_series.map 0.000577 s: power_series.map.equations._eqn_1 0.005186 s: category_theory.functor.map_add_hom.equations._eqn_1 0.003699 s: distrib_lattice.no_confusion_type 0.002318 s: distrib_lattice.no_confusion 0.005864 s: nat.cast_pred 0.000771 s: measurable_space.dynkin_system.has_univ 0.000772 s: zmod.cast._main.equations._eqn_2 0.000449 s: zmod.cast.equations._eqn_2 0.011229 s: lie_subalgebra.zero_mem 0.007334 s: lie_subalgebra.normalizer._proof_1 0.000605 s: pi.unique._proof_1 0.000294 s: pi.unique 0.000154 s: matrix.unique 0.000245 s: alist.ext_iff 0.000165 s: alist.decidable_eq._proof_1 0.000359 s: alist.decidable_eq 0.000441 s: alist.decidable_eq.equations._eqn_1 0.000072 s: rat.add_group.equations._eqn_1 0.008064 s: measure_theory.L1.integral_of_fun_eq_integral 0.003196 s: subalgebra.coe_val 0.000176 s: subtype.coind.equations._eqn_1 0.018227 s: free_algebra.induction 0.000339 s: opposite.unop_add 0.016087 s: free_algebra.star_ring._proof_1 0.026487 s: free_algebra.star_ring._proof_2 0.043738 s: free_algebra.star_ring._proof_3 0.019137 s: free_algebra.star_ring 0.007373 s: units.is_cyclic.equations._eqn_1 0.000680 s: topological_space.opens.comap._proof_1 0.000592 s: topological_space.opens.comap 0.001245 s: topological_space.opens.coe_comap 0.003027 s: topological_space.opens.equiv._proof_3 0.012106 s: intermediate_field.adjoin_eq_algebra_adjoin 0.006833 s: category_theory.limits.reflects_limit_of_reflects_isomorphisms._proof_1 0.002011 s: category_theory.limits.reflects_limit_of_reflects_isomorphisms 0.000708 s: category_theory.limits.reflects_limits_of_shape_of_reflects_isomorphisms 0.000840 s: category_theory.limits.reflects_limits_of_shape_of_reflects_isomorphisms.equations._eqn_1 0.009791 s: generalized_boolean_algebra.cases_on 0.005341 s: generalized_boolean_algebra.no_confusion_type 0.005956 s: generalized_boolean_algebra.no_confusion 0.015136 s: generalized_boolean_algebra.mk.inj 0.022236 s: generalized_boolean_algebra.mk.inj_arrow 0.013012 s: category_theory.triangulated.triangle.inv_rotate.equations._eqn_1 0.001569 s: preimage.is_add_submonoid.equations._eqn_1 0.155453 s: slim_check.tree.shrink_with._match_1._proof_2 0.043822 s: zero_lt_three 0.001674 s: multiset.sum_singleton 0.011075 s: equiv.perm.is_three_cycle.card_support 0.247473 s: card_support_eq_three_iff 0.045892 s: equiv.perm.is_three_cycle_swap_mul_swap_same 0.005955 s: equiv.perm.swap_mul_swap_same_mem_closure_three_cycles 0.006273 s: equiv.perm.is_swap.mul_mem_closure_three_cycles 0.000126 s: wseq.map 0.000090 s: seq.coe_list 0.000081 s: wseq.of_list 0.000042 s: wseq.ret 0.000093 s: wseq.ret.equations._eqn_1 0.002936 s: wseq.of_list_cons 0.001139 s: wseq.of_list_nil 0.000387 s: wseq.map_cons 0.000674 s: wseq.map_nil 0.001296 s: wseq.map_ret 0.000284 s: isometric.add_left.equations._eqn_1 0.000120 s: buffer.append_array 0.000176 s: buffer.append._main 0.000049 s: buffer.append 0.001867 s: buffer.append._main.equations._eqn_2 0.000574 s: buffer.append.equations._eqn_2 0.002508 s: equiv.subtype_pi_equiv_pi._proof_4 0.001434 s: category_theory.limits.functor_category_has_limits_of_shape.equations._eqn_1 0.000680 s: sym2.mem.decidable._match_1 0.000584 s: sym2.mem.decidable._match_1.equations._eqn_1 0.000183 s: power_series.nontrivial.equations._eqn_1 0.009744 s: lie_subalgebra.well_founded_of_noetherian 0.000414 s: list.rotate'._main.equations._eqn_1 0.000185 s: category_theory.concrete_category.types.equations._eqn_1 0.000377 s: zsqrtd.linear_ordered_comm_ring._proof_15 0.001236 s: slim_check.gen.list_of.equations._eqn_1 0.001497 s: pgame.restricted.mk.inj_arrow 0.000160 s: no_top_order.rec_on 0.000175 s: slim_check.total_function.no_confusion_type 0.000441 s: slim_check.total_function.no_confusion 0.000831 s: regular_expression.deriv._main.equations._eqn_2 0.000108 s: regular_expression.deriv.equations._eqn_2 0.000742 s: nat.pow_dvd_pow_iff_le_right' 0.033879 s: ring.fractional_ideal.mul_induction_on 0.005489 s: list.rotate_zero 0.013703 s: CommRing.colimits.desc_morphism.equations._eqn_1 0.002663 s: magma.free_semigroup.lift._proof_1 0.000244 s: magma.free_semigroup.lift 0.000744 s: magma.free_semigroup.of_mul_assoc_right 0.012086 s: magma.free_semigroup.semigroup._proof_2 0.034724 s: magma.free_semigroup.semigroup._proof_3 0.013605 s: magma.free_semigroup.semigroup 0.000255 s: magma.free_semigroup.map._proof_1 0.000685 s: magma.free_semigroup.map 0.000530 s: add_monoid_algebra.to_multiplicative._proof_4 0.001477 s: parser.numeral.char 0.002517 s: parser.numeral.char.bounded 0.025019 s: Module.braiding 0.367997 s: Module.braiding_naturality 0.008127 s: Module.symmetric_category._proof_1 0.983211 s: Module.hexagon_forward 1.693952 s: Module.hexagon_reverse 0.593688 s: Module.symmetric_category._proof_2 0.015738 s: Module.symmetric_category 0.043622 s: Module.monoidal_category.braiding_hom_apply 0.005004 s: emetric.mem_ball_comm 0.000761 s: wseq.of_list.equations._eqn_1 0.000694 s: set.inter_neg 0.002725 s: set.preimage_neg_Ici 0.003086 s: set.preimage_neg_Iic 0.005953 s: set.preimage_neg_Icc 0.035282 s: set.preimage_neg_interval 0.029459 s: min_sub_sub_right 0.023475 s: max_sub_sub_right 0.046774 s: set.preimage_const_add_interval 0.013708 s: set.preimage_add_const_interval 0.003590 s: set.image_const_add_interval 0.004989 s: set.image_const_sub_interval 0.001462 s: subfield.sub_mem 0.005519 s: intermediate_field.sub_mem 0.006016 s: category_theory.iso.CommRing_iso_to_ring_equiv._proof_1 0.003302 s: category_theory.iso.CommRing_iso_to_ring_equiv._proof_2 0.013527 s: category_theory.iso.CommRing_iso_to_ring_equiv._proof_3 0.017079 s: category_theory.iso.CommRing_iso_to_ring_equiv._proof_4 0.003277 s: category_theory.iso.CommRing_iso_to_ring_equiv 0.018878 s: ring_equiv_iso_CommRing_iso._proof_1 0.000915 s: simple_graph.from_rel._match_1 0.000141 s: simple_graph.from_rel._proof_1 0.000188 s: simple_graph.from_rel._match_2 0.000207 s: simple_graph.from_rel._proof_2 0.000348 s: simple_graph.from_rel 0.004361 s: subsemiring.topological_closure._proof_1 0.003074 s: subsemiring.topological_closure._proof_2 0.001829 s: subsemiring.topological_closure._proof_3 0.001841 s: subsemiring.topological_closure._proof_4 0.005430 s: subsemiring.topological_closure 0.000418 s: subalgebra.topological_closure._proof_1 0.000282 s: subalgebra.topological_closure._proof_2 0.000202 s: subalgebra.topological_closure._proof_3 0.000275 s: subalgebra.topological_closure._proof_4 0.003447 s: subsemiring.subring_topological_closure 0.001933 s: subalgebra.topological_closure._proof_5 0.006691 s: subalgebra.topological_closure 0.003624 s: add_submonoid.topological_closure_has_continuous_add 0.002753 s: submonoid.topological_closure_has_continuous_mul 0.011913 s: subsemiring.topological_closure_topological_semiring 0.006928 s: subalgebra.topological_closure_topological_semiring 0.000156 s: category_theory.discrete_is_connected_equiv_punit._proof_1 0.000078 s: category_theory.discrete_is_connected_equiv_punit._proof_2 0.000287 s: category_theory.functor.punit_ext._proof_1 0.004683 s: category_theory.functor.punit_ext._proof_2 0.001042 s: category_theory.functor.punit_ext 0.015721 s: category_theory.discrete_is_connected_equiv_punit._proof_3 0.008750 s: category_theory.discrete_is_connected_equiv_punit 0.008640 s: category_theory.discrete_is_connected_equiv_punit.equations._eqn_1 0.000340 s: function.embedding.sizeof 0.000144 s: function.embedding.has_sizeof_inst 0.000687 s: rel_embedding.sizeof 0.000199 s: rel_embedding.has_sizeof_inst 0.000708 s: initial_seg.sizeof 0.000018 s: tactic.dsimp_config.iota._default 0.102316 s: power_basis.constr_pow_gen 0.066760 s: power_basis.lift_gen 0.004285 s: partition.decidable_eq 0.001959 s: partition.of_composition._proof_1 0.009284 s: partition.of_composition._proof_2 0.000160 s: partition.of_composition 0.002574 s: partition.ext 0.007029 s: partition.of_composition_surj 0.000137 s: partition.fintype 0.003013 s: list.mem_or_eq_of_mem_update_nth 0.002503 s: list.nodup_update_nth 0.000575 s: set.Iic_top 0.001130 s: set.Ici_bot 0.000778 s: set.Icc_bot 0.000499 s: is_compl.Iic_order_iso_Ici._proof_1 0.005890 s: inf_Icc_order_iso_Icc_sup._proof_1 0.001605 s: inf_Icc_order_iso_Icc_sup._proof_2 0.000827 s: inf_sup_assoc_of_le 0.009907 s: inf_Icc_order_iso_Icc_sup._proof_3 0.007850 s: inf_Icc_order_iso_Icc_sup._proof_4 0.024610 s: inf_Icc_order_iso_Icc_sup._proof_5 0.009380 s: inf_Icc_order_iso_Icc_sup 0.000844 s: set.Icc_top 0.006999 s: is_compl.Iic_order_iso_Ici._proof_2 0.016062 s: is_compl.Iic_order_iso_Ici 0.000912 s: algebra.adjoin.power_basis._proof_1 0.000131 s: ematch_config.cases_on 0.000081 s: ematch_config.no_confusion_type 0.000778 s: right_nhds_within_Ioo_ne_bot 0.030306 s: ring.fractional_ideal.span_singleton_eq_zero_iff 0.004523 s: ring.fractional_ideal.span_singleton_ne_zero_iff 0.010122 s: edist_le_tsum_of_edist_le_of_tendsto₀ 0.001855 s: metric_space_of_normed_group_of_add_torsor._proof_7 0.001459 s: polynomial.comp_eq_sum_left 0.008579 s: pell.yn_one 0.012217 s: pell.xn_one 0.000231 s: pell.pell_zd.equations._eqn_1 0.012817 s: pell.xy_succ_succ 0.000161 s: pell.xn_succ_succ 0.008788 s: pell.xz_succ_succ 0.000183 s: pell.yn_succ_succ 0.006772 s: pell.yz_succ_succ 0.077970 s: pell.x_sub_y_dvd_pow_lem 0.101330 s: pell.x_sub_y_dvd_pow 0.537961 s: ring.fractional_ideal.is_noetherian_zero 0.005548 s: multiset.pi.equations._eqn_1 0.004611 s: int.lt_div_of_mul_lt 0.002791 s: category_theory.lifts_to_colimit 0.008287 s: category_theory.lifts_to_colimit.to_liftable_cocone 0.001321 s: category_theory.lifts_to_colimit.makes_colimit 0.003596 s: category_theory.creates_colimit_of_reflects_iso._proof_1 0.002490 s: category_theory.creates_colimit_of_reflects_iso 0.023839 s: category_theory.monad.forget_creates_colimit._proof_1 0.045955 s: category_theory.monad.forget_creates_colimit._proof_2 0.032699 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit._proof_1 0.077666 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit._proof_2 0.023825 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit 0.027593 s: category_theory.monad.forget_creates_colimit 0.024416 s: category_theory.monad.forget_creates_colimit.equations._eqn_1 0.000097 s: regular_expression.zero.inj 0.000085 s: regular_expression.zero.inj_arrow 0.000597 s: with_zero.canonically_ordered_add_monoid._proof_13 0.000643 s: AddCommGroup.kernel_iso_ker._proof_1 0.000209 s: AddCommGroup.kernel_iso_ker._proof_2 0.000131 s: AddCommGroup.kernel_iso_ker._proof_3 0.006884 s: category_theory.limits.kernel.condition_apply 0.004519 s: AddCommGroup.zero_apply 0.018832 s: AddCommGroup.kernel_iso_ker._proof_4 0.001002 s: add_subgroup.coe_mk 0.001641 s: add_subgroup.coe_zero 0.031599 s: AddCommGroup.kernel_iso_ker._proof_5 0.041603 s: AddCommGroup.kernel_iso_ker._proof_6 0.000353 s: AddCommGroup.kernel_iso_ker._proof_7 0.082437 s: AddCommGroup.kernel_iso_ker._proof_8 0.006919 s: add_subgroup.coe_subtype 0.127030 s: AddCommGroup.kernel_iso_ker._proof_9 0.021448 s: category_theory.limits.limit.lift_π_apply 0.160364 s: AddCommGroup.kernel_iso_ker._proof_10 0.066193 s: AddCommGroup.kernel_iso_ker 0.062439 s: AddCommGroup.kernel_iso_ker_hom_comp_subtype 0.000107 s: regular_expression.zero_def 0.000141 s: regular_expression.matches.equations._eqn_1 0.000505 s: regular_expression.match_epsilon._main.equations._eqn_1 0.000118 s: regular_expression.match_epsilon.equations._eqn_1 0.000108 s: regular_expression.deriv.equations._eqn_1 0.007460 s: regular_expression.zero_rmatch 0.000139 s: regular_expression.one_def 0.000794 s: regular_expression.matches._main.equations._eqn_2 0.000185 s: regular_expression.matches.equations._eqn_2 0.000383 s: regular_expression.match_epsilon._main.equations._eqn_2 0.000074 s: regular_expression.match_epsilon.equations._eqn_2 0.004880 s: regular_expression.one_rmatch_iff 0.000576 s: regular_expression.matches._main.equations._eqn_3 0.000094 s: regular_expression.matches.equations._eqn_3 0.000482 s: regular_expression.deriv._main.equations._eqn_3 0.000147 s: regular_expression.deriv.equations._eqn_3 0.005847 s: regular_expression.char_rmatch_iff 0.000350 s: regular_expression.plus_def 0.001150 s: regular_expression.matches._main.equations._eqn_4 0.000153 s: regular_expression.matches.equations._eqn_4 0.000118 s: regular_expression.comp_def 0.001126 s: regular_expression.matches._main.equations._eqn_5 0.000119 s: regular_expression.matches.equations._eqn_5 0.000920 s: regular_expression.match_epsilon._main.equations._eqn_5 0.000082 s: regular_expression.match_epsilon.equations._eqn_5 0.002128 s: regular_expression.deriv._main.equations._eqn_5 0.000387 s: regular_expression.deriv.equations._eqn_5 0.022907 s: regular_expression.mul_rmatch_iff 0.001526 s: regular_expression.matches._main.equations._eqn_6 0.000111 s: regular_expression.matches.equations._eqn_6 0.000162 s: regular_expression.deriv.equations._eqn_6 0.064971 s: regular_expression.star_rmatch_iff 0.000075 s: list.empty._main 0.000038 s: list.empty 0.000161 s: list.empty._main.equations._eqn_1 0.000049 s: list.empty.equations._eqn_1 0.000078 s: list.empty._main.equations._eqn_2 0.000045 s: list.empty.equations._eqn_2 0.017910 s: list.join_filter_empty_eq_ff 0.001717 s: list.empty_iff_eq_nil 0.004676 s: language.star_def_nonempty 0.012009 s: regular_expression.rmatch_iff_matches 0.000508 s: regular_expression.matches.decidable_pred._proof_1 0.000756 s: regular_expression.matches.decidable_pred 0.013816 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_17 0.001921 s: semiconj_by.map 0.000423 s: commute.map 0.000855 s: category_theory.Monad.to_Mon_X 0.000077 s: enat.equations._eqn_1 0.000066 s: tactic.rewrite_search.using_conv.splice_result.contained.sizeof_spec 0.003566 s: category_theory.lax_monoidal_functor.sizeof 0.000195 s: category_theory.lax_monoidal_functor.has_sizeof_inst 0.001657 s: category_theory.monoidal_functor.sizeof 0.000159 s: category_theory.monoidal_functor.has_sizeof_inst 0.002931 s: category_theory.braided_functor.sizeof 0.000360 s: category_theory.braided_functor.has_sizeof_inst 0.001905 s: Mon_.comp.equations._eqn_1 0.000824 s: encodable.sorted_univ.equations._eqn_1 0.000026 s: tactic.interactive.mono_selection.both.inj 0.000024 s: tactic.interactive.mono_selection.both.inj_arrow 0.000515 s: set.dual_Iio 0.000727 s: multiplicative.linear_ordered_comm_monoid._proof_3 0.000697 s: ring_hom.lift_of_surjective._proof_1 0.000117 s: bool.measurable_space 0.000040 s: bool.measurable_space.equations._eqn_1 0.000959 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_16 1.342018 s: real.abs.cau_seq.is_complete.equations._eqn_1 0.000309 s: category_theory.limits.lim_lax._proof_1 0.004759 s: category_theory.limits.limit_functorial._proof_3 0.003623 s: category_theory.limits.limit_functorial._proof_4 0.005162 s: category_theory.limits.limit_functorial 0.000160 s: category_theory.limits.limit_lax_monoidal._proof_1 0.000114 s: category_theory.limits.limit_lax_monoidal._proof_2 0.000309 s: category_theory.limits.limit_lax_monoidal._proof_3 0.000821 s: category_theory.limits.limit_lax_monoidal._proof_4 0.000241 s: category_theory.limits.limit_lax_monoidal._proof_5 0.000168 s: category_theory.limits.limit_lax_monoidal._proof_6 0.000119 s: category_theory.limits.limit_lax_monoidal._proof_7 0.000133 s: category_theory.limits.limit_lax_monoidal._proof_8 0.000114 s: category_theory.limits.limit_lax_monoidal._proof_9 0.008028 s: category_theory.limits.limit_lax_monoidal._proof_10 0.008162 s: category_theory.monoidal.tensor_hom_app 0.058465 s: category_theory.limits.limit_lax_monoidal._proof_11 0.125502 s: category_theory.limits.limit_lax_monoidal._proof_12 0.017318 s: category_theory.monoidal.left_unitor_hom_app 0.053423 s: category_theory.limits.limit_lax_monoidal._proof_13 0.060785 s: category_theory.limits.limit_lax_monoidal._proof_14 0.035190 s: category_theory.limits.limit_lax_monoidal 0.000776 s: category_theory.limits.lim_lax 0.000928 s: category_theory.limits.prod.braiding_hom 0.012405 s: category_theory.limits.braid_natural 0.006627 s: polynomial.aeval_algebra_map_apply 0.000058 s: list.has_variable_names 0.000108 s: list.has_variable_names.equations._eqn_1 0.000736 s: one_hom 0.000138 s: free_group.free_group_empty_equiv_unit._match_1 0.000749 s: omega.int.push_neg._main.equations._eqn_5 0.007724 s: linear_equiv.of_left_inverse._match_1.equations._eqn_1 0.001143 s: _private.847195145.denumerable_aux.equations._eqn_1 0.013448 s: ideal.closure.equations._eqn_1 0.000456 s: tree.get._main.equations._eqn_3 0.000153 s: tree.get.equations._eqn_3 0.000137 s: algebraic_geometry.SheafedSpace.forget._proof_4 0.000282 s: pfun.as_subtype._proof_1 0.000913 s: pfun.as_subtype 0.000327 s: roption.eta 0.003194 s: pfun.equiv_subtype._proof_1 0.002182 s: pfun.equiv_subtype._match_1 0.000302 s: pfun.equiv_subtype._proof_2 0.000616 s: pfun.equiv_subtype 0.001733 s: lie_algebra.derived_series_of_ideal_succ_le 0.000488 s: category_theory.pairwise.hom.rec_on 0.051469 s: CommMon_Type_equivalence_CommMon_forget._proof_1 0.075852 s: CommMon_Type_equivalence_CommMon_forget 0.005656 s: measure_theory.ae_eq_fun.has_mul.equations._eqn_1 0.004973 s: subalgebra.list_prod_mem 0.000299 s: padic.has_zero.equations._eqn_1 0.011181 s: hahn_series.coeff_to_power_series 0.000068 s: Semigroup.equations._eqn_1 0.000999 s: subsemiring.coe_top 0.000318 s: subsemiring.gi._proof_1 0.000183 s: subsemiring.gi._proof_2 0.000157 s: subsemiring.gi._proof_3 0.006069 s: subsemiring.gi 0.000255 s: subsemiring.closure_eq 0.000275 s: subsemiring.closure_univ 0.001212 s: sym.cons._main._proof_1 0.000095 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_8 0.000150 s: matrix.add_group 0.000414 s: dmatrix.has_neg 0.000460 s: dmatrix.neg_apply 0.005464 s: matrix.block_diagonal'_neg 0.018672 s: matrix.block_diagonal'_sub 0.000312 s: uniform_space.separation_quotient.uniform_space.equations._eqn_1 0.000257 s: is_subgroup.center.equations._eqn_1 0.039320 s: affine_map.module._proof_4 0.019626 s: complex.cos_add_sin_mul_I_pow 0.000914 s: has_deriv_within_at_Iio_iff_Iic 0.080440 s: smooth_bump_covering.is_subordinate 0.001927 s: compact_exhaustion 0.008672 s: exists_compact_mem_nhds 0.003738 s: finset.compact_bUnion 0.002878 s: exists_compact_superset 0.002960 s: set.Union_subset_Union2 0.003030 s: compact_exhaustion.choice._proof_1 0.000083 s: compact_exhaustion.choice 0.000187 s: compact_exhaustion.to_fun 0.000102 s: compact_exhaustion.has_coe_to_fun 0.000276 s: compact_exhaustion.is_compact' 0.000369 s: compact_exhaustion.is_compact 0.000378 s: compact_exhaustion.shiftr._proof_1 0.000381 s: compact_exhaustion.subset_interior_succ' 0.000320 s: compact_exhaustion.subset_interior_succ 0.001592 s: compact_exhaustion.shiftr._proof_2 0.000427 s: compact_exhaustion.Union_eq' 0.000269 s: compact_exhaustion.Union_eq 0.000308 s: compact_exhaustion.exists_mem 0.000197 s: compact_exhaustion.find 0.000387 s: compact_exhaustion.mem_find 0.003072 s: compact_exhaustion.shiftr._proof_3 0.000453 s: compact_exhaustion.shiftr 0.000140 s: compact_exhaustion.is_closed 0.002923 s: is_compact.elim_nhds_subcover' 0.001813 s: compact_diff 0.001860 s: nat.find_comp_succ 0.001890 s: compact_exhaustion.find_shiftr 0.000271 s: compact_exhaustion.subset_succ 0.002609 s: compact_exhaustion.subset 0.000686 s: compact_exhaustion.mem_iff_find_le 0.005169 s: compact_exhaustion.mem_diff_shiftr_find 0.086868 s: refinement_of_locally_compact_sigma_compact_of_nhds_basis_set 0.006115 s: local_homeomorph.symm_map_nhds_eq 0.002420 s: filter.has_basis.restrict_subset 0.002900 s: filter.has_basis.has_basis_self_subset 0.002145 s: charted_space.locally_compact 0.001065 s: model_with_corners.symm_comp_self 0.001749 s: model_with_corners.symm_map_nhds_within_range 0.001773 s: model_with_corners.locally_compact 0.000399 s: locally_compact_of_proper 0.002166 s: ext_chart_at_symm_map_nhds_within_range' 0.001100 s: ext_chart_at_symm_map_nhds_within_range 0.145280 s: euclidean.nhds_basis_closed_ball 0.098639 s: euclidean.closed_ball_mem_nhds 0.156626 s: smooth_bump_function.nhds_within_range_basis 0.016048 s: ext_chart_preimage_open_of_open' 0.005026 s: ext_chart_preimage_open_of_open 0.142917 s: euclidean.is_open_ball 0.260735 s: times_cont_diff_bump.one_of_mem_closed_ball 0.145221 s: smooth_bump_function.one_of_dist_le 0.157652 s: smooth_bump_function.eventually_eq_one_of_dist_lt 0.163232 s: euclidean.dist.equations._eqn_1 0.153838 s: smooth_bump_function.eventually_eq_one 0.097786 s: smooth_bump_function.support_mem_nhds 0.091605 s: smooth_bump_function.closure_support_mem_nhds 0.150429 s: smooth_bump_function.nhds_basis_closure_support 0.095691 s: smooth_bump_function.nhds_basis_support 0.014844 s: refinement_of_locally_compact_sigma_compact_of_nhds_basis 0.002131 s: paracompact_of_locally_compact_sigma_compact 0.133977 s: smooth_bump_function.open_support 0.015965 s: locally_finite.point_finite 0.142043 s: smooth_bump_function.update_r._proof_1 0.155487 s: smooth_bump_function.update_r._proof_2 0.152644 s: smooth_bump_function.update_r 0.151160 s: smooth_bump_function.update_r_R 0.149715 s: smooth_bump_function.support_update_r 0.098416 s: smooth_bump_covering.coe_mk 0.171695 s: smooth_bump_covering.exists_is_subordinate 0.096230 s: smooth_bump_covering.choice_set._proof_1 0.109816 s: smooth_bump_covering.choice_set 0.000154 s: has_finite_inter.inhabited._proof_1 0.009351 s: add_eq_of_eq_neg_add 0.000421 s: inner_product_space.to_dual'._proof_1 0.001815 s: inner_product_space.to_dual'._proof_2 0.029855 s: inner_product_space.to_dual'._proof_3 0.143502 s: inner_product_space.to_dual'._proof_4 0.181915 s: inner_product_space.to_dual'._proof_5 0.092972 s: inner_product_space.to_dual' 0.009999 s: inner_product_space.to_dual'_apply 0.106155 s: inner_product_space.norm_to_dual'_apply 0.011696 s: int.eq_one_of_dvd_one 0.000470 s: turing.evals_to_in_time.cases_on 0.000270 s: turing.evals_to_in_time.no_confusion_type 0.000712 s: turing.evals_to_in_time.no_confusion 0.002130 s: turing.evals_to_in_time.mk.inj 0.000236 s: category_theory.is_filtered.max._proof_1 0.000174 s: category_theory.is_filtered.max 0.000126 s: category_theory.is_filtered.left_to_max._proof_1 0.000173 s: category_theory.is_filtered.left_to_max._proof_2 0.000687 s: category_theory.is_filtered.left_to_max 0.000018 s: znum.div 0.000045 s: znum.has_div 0.027956 s: function.injective.division_ring._proof_10 0.000058 s: mvqpf.quot1 0.003402 s: mvqpf.quot1.map._proof_1 0.000566 s: mvqpf.quot1.map 0.000487 s: mvqpf.quot1.mvfunctor 0.000116 s: erased 0.000411 s: erased.out._main 0.000032 s: erased.out 0.000089 s: erased.out_type 0.000128 s: erased.out_type.equations._eqn_1 0.000885 s: rat.mul_denom 0.000153 s: linear_recurrence.sizeof 0.000082 s: linear_recurrence.has_sizeof_inst 0.000030 s: vm_decl_kind.bytecode.inj_arrow 0.000906 s: is_group_hom.inv_ker_one' 0.000675 s: is_group_hom.one_ker_inv' 0.000373 s: is_group_hom.one_iff_ker_inv' 0.000522 s: is_group_hom.inv_iff_ker' 0.002094 s: semiconj_by.units_of_coe 0.000987 s: semiconj_by.units_coe 0.000291 s: semiconj_by.units_coe_iff 0.000017 s: snum.czadd 0.000266 s: snum.czadd._main.equations._eqn_3 0.000028 s: snum.czadd.equations._eqn_3 0.001223 s: subring.mk'_to_add_subgroup 0.001083 s: subring.Inf_to_add_subgroup 0.000812 s: local_equiv.is_image.union 0.000918 s: category_theory.equalizer.sieve.second_map._proof_1 0.001949 s: category_theory.functor.map_cocone_inv.equations._eqn_1 0.015747 s: category_theory.prod.symmetry._proof_1 0.018087 s: category_theory.prod.symmetry._proof_2 0.075024 s: category_theory.prod.symmetry._proof_3 0.087482 s: category_theory.prod.symmetry._proof_4 0.020477 s: category_theory.prod.symmetry 0.010253 s: category_theory.prod.symmetry.equations._eqn_1 0.000699 s: hahn_series.multiplicative.linear_ordered_comm_group._proof_13 0.002995 s: of_mul_pow 0.000121 s: imp_eq_of_eq_false_right 0.000130 s: le_sup_right' 0.000108 s: le_sup_left' 0.001930 s: Inf_sup_eq 0.013807 s: Inf_sup_Inf 0.000186 s: order_dual.complete_distrib_lattice._proof_1 0.000117 s: order_dual.complete_distrib_lattice._proof_2 0.001370 s: order_dual.complete_distrib_lattice._proof_3 0.000448 s: order_dual.complete_distrib_lattice._proof_4 0.000363 s: order_dual.complete_distrib_lattice._proof_6 0.000664 s: order_dual.complete_distrib_lattice._proof_7 0.000355 s: order_dual.complete_distrib_lattice._proof_8 0.000337 s: order_dual.complete_distrib_lattice._proof_9 0.000513 s: order_dual.complete_distrib_lattice._proof_10 0.000788 s: order_dual.complete_distrib_lattice._proof_11 0.000301 s: order_dual.complete_distrib_lattice._proof_12 0.000326 s: order_dual.complete_distrib_lattice._proof_13 0.000295 s: order_dual.complete_distrib_lattice._proof_14 0.000270 s: order_dual.complete_distrib_lattice._proof_15 0.000369 s: order_dual.complete_distrib_lattice._proof_16 0.062356 s: complete_distrib_lattice.inf_Sup_le_supr_inf 0.007423 s: order_dual.complete_distrib_lattice._proof_17 0.004055 s: order_dual.complete_distrib_lattice._proof_18 0.062978 s: order_dual.complete_distrib_lattice 0.027687 s: Sup_inf_Sup 0.047712 s: set.sUnion_inter_sUnion 0.000056 s: list.ilast 0.000170 s: list.ilast._sunfold 0.000026 s: omega.int.dnf 0.025474 s: exists_nat_pow_near 0.000307 s: pgame.short_of_relabelling._main._proof_1 0.000306 s: measurable_equiv.no_confusion_type 0.001629 s: bit1_zero 0.002251 s: bit1_injective 0.000285 s: bit1_eq_bit1 0.002887 s: bit1_eq_one 0.000519 s: one_eq_bit1 0.000251 s: monad.map._default 0.000232 s: monad.map._default.equations._eqn_1 0.000503 s: linear_isometry_equiv.refl._proof_1 0.001076 s: linear_isometry_equiv.refl 0.002227 s: linear_isometry_equiv.to_linear_equiv_injective 0.001314 s: linear_isometry_equiv.ext 0.002838 s: linear_isometry_equiv.trans_refl 0.000026 s: binder_info.aux_decl.inj 0.000023 s: binder_info.aux_decl.inj_arrow 0.000237 s: prod.semilattice_inf_top._proof_1 0.000164 s: prod.semilattice_inf_top._proof_2 0.000373 s: prod.semilattice_inf_top._proof_3 0.000465 s: prod.semilattice_inf_top._proof_4 0.000773 s: prod.semilattice_inf_top._proof_5 0.000339 s: prod.semilattice_inf_top._proof_6 0.000400 s: prod.semilattice_inf_top._proof_7 0.000564 s: prod.semilattice_inf_top._proof_8 0.007741 s: prod.semilattice_inf_top 0.005487 s: prod.semilattice_inf_top.equations._eqn_1 0.000407 s: _private.3072507241.cycle_g._main.equations._eqn_2 0.001191 s: category_theory.limits.mono_factorisation.of_comp_iso._proof_1 0.000947 s: category_theory.limits.mono_factorisation.of_comp_iso 0.000827 s: category_theory.limits.mono_factorisation.of_comp_iso_I 0.000757 s: set.Ici.semilattice_sup_top._proof_6 0.000995 s: with_top.densely_ordered._match_1.equations._eqn_3 0.000136 s: parser.foldl 0.000436 s: parser.bounded.foldl_core_zero 0.001475 s: parser.foldl_core._main.equations._eqn_2 0.000316 s: parser.foldl_core.equations._eqn_2 0.002086 s: parser.foldl_core_succ_eq_fail 0.002945 s: parser.bounded.foldl_core 0.000160 s: parser.foldl.equations._eqn_1 0.001667 s: parser.bounded.foldl 0.000089 s: parser.many.equations._eqn_1 0.006595 s: parser.foldr_core_eq_done 0.002591 s: parser.foldr_eq_done 0.002815 s: parser.many_eq_done_nil 0.001682 s: parser.bounded.of_done 0.002779 s: parser.many_eq_done 0.000750 s: parser.foldr_core_zero_eq_done 0.050913 s: parser.many1_eq_done_iff_many_eq_done 0.002327 s: parser.many1_bounded_of_done 0.004501 s: ordered_comm_group.rec_on 0.000849 s: local_homeomorph.is_image.of_preimage_eq' 0.000564 s: equiv.sum_pempty_apply_inl 0.001193 s: uniform_continuous_comap' 0.000464 s: uniform_continuous_subtype_mk 0.000277 s: lipschitz_with.dist_right 0.000773 s: lipschitz_with_one_norm 0.000576 s: uniform_continuous_norm 0.001557 s: uniform_continuous_nnnorm 0.002632 s: linear_isometry_equiv.differentiable_at 0.001449 s: linear_isometry_equiv.differentiable_within_at 0.002019 s: structure_groupoid.partial_order._proof_1 0.000129 s: structure_groupoid.partial_order 0.000276 s: structure_groupoid.order_bot._proof_4 0.000783 s: holor.cprank_max1 0.000380 s: normed_group_hom.ext 0.004198 s: normed_group_hom.op_norm_zero_iff 0.004284 s: normed_group_hom.to_normed_group._proof_1 0.000161 s: normed_group_hom.to_normed_group 0.000225 s: normed_group_hom.to_normed_group.equations._eqn_1 0.000191 s: pgame.list_short.below 0.000373 s: pgame.list_short.brec_on 0.000784 s: set.inter_preimage_subset 0.001199 s: computation.lift_rel_return_left 0.000588 s: computation.lift_rel_return_right 0.000246 s: rbtree.min._main 0.000040 s: rbtree.min 0.000160 s: rbmap.min 0.000211 s: rbmap.min.equations._eqn_1 0.000045 s: nzsnum.inhabited 0.000026 s: nzsnum.inhabited.equations._eqn_1 0.000617 s: zmod.decidable_eq._main.equations._eqn_2 0.000267 s: zmod.decidable_eq.equations._eqn_2 0.046040 s: mv_polynomial.map_id 0.013348 s: mv_polynomial.map_equiv._proof_1 0.004678 s: mv_polynomial.map_equiv._proof_2 0.001378 s: mv_polynomial.map_equiv._proof_3 0.001088 s: mv_polynomial.map_equiv._proof_4 0.041444 s: mv_polynomial.map_equiv 0.007239 s: mv_polynomial.map_alg_equiv._proof_1 0.001117 s: mv_polynomial.map_alg_equiv._proof_2 0.001202 s: mv_polynomial.map_alg_equiv._proof_3 0.001395 s: mv_polynomial.map_alg_equiv._proof_4 0.000705 s: mv_polynomial.map.equations._eqn_1 0.012654 s: mv_polynomial.map_alg_equiv._proof_5 0.003897 s: mv_polynomial.map_alg_equiv 0.038590 s: mv_polynomial.option_equiv_right 0.000194 s: measurable_set_interior 0.000368 s: UniformSpace.uniform_space.equations._eqn_1 0.000772 s: CommRing.colimits.prequotient.mul.inj 0.004581 s: CommRing.colimits.prequotient.mul.inj_eq 0.000307 s: equiv.punit_arrow_equiv.equations._eqn_1 0.000529 s: category_theory.limits.reflects_limits_of_shape.sizeof 0.000197 s: category_theory.limits.reflects_limits_of_shape.has_sizeof_inst 0.014475 s: mv_power_series.coeff_zero_X_mul 0.000676 s: ctop.realizer.id._match_1 0.000494 s: ctop.realizer.id._match_2 0.002237 s: ctop.realizer.id._match_5 0.000129 s: option_t.fail 0.000141 s: option_t.fail.equations._eqn_1 0.037550 s: witt_vector.is_poly₂.diag 0.000441 s: witt_vector.add_is_poly₂.comp_diag 0.038385 s: witt_vector.select_poly 0.099753 s: witt_vector.coeff_select 0.035351 s: witt_vector.select_is_poly 0.000255 s: witt_vector.select_is_poly.comp_i 0.038149 s: witt_vector.select_poly.equations._eqn_1 0.158936 s: witt_vector.select_add_select_not 0.000564 s: list.lt._main 0.000358 s: list.lt._main.equations._eqn_2 0.000197 s: submonoid.to_add_submonoid._proof_1 0.000170 s: submonoid.to_add_submonoid._proof_2 0.024685 s: submonoid.to_add_submonoid._proof_3 0.006744 s: submonoid.to_add_submonoid._proof_4 0.013022 s: submonoid.to_add_submonoid._proof_5 0.009568 s: submonoid.to_add_submonoid 0.000278 s: add_submonoid.to_submonoid' 0.034830 s: subgroup.to_add_subgroup._proof_8 0.000199 s: random_fin_of_pos._main 0.000019 s: random_fin_of_pos 0.000178 s: filter.coprod 0.026367 s: filter.coprod_mono 0.002930 s: W_type.depth._main 0.000063 s: W_type.depth 0.000095 s: _private.3941152617.W_type' 0.010767 s: _private.4143707671.finv._sunfold 0.000121 s: num.bit1._main.equations._eqn_1 0.005686 s: local_homeomorph.has_strict_fderiv_at_symm 0.000979 s: equiv.as_embedding_apply 0.002476 s: equiv.as_embedding_range 0.001903 s: set.finite.fin_embedding 0.000702 s: set.finite.fin_param 0.001852 s: add_order_of_dvd_of_nsmul_eq_zero 0.000789 s: add_order_of_dvd_iff_nsmul_eq_zero 0.002634 s: add_order_of_eq_add_order_of_iff 0.001575 s: add_order_of_injective 0.000119 s: dmatrix.row._sunfold 0.000171 s: omega.ee_state 0.000136 s: omega.ee_state.cases_on 0.042458 s: Icc_left_chart.equations._eqn_1 0.000346 s: bilin_form.is_ortho 0.007424 s: bilin_form.zero_right 0.000288 s: bilin_form.is_ortho_zero_right 0.000376 s: bilin_form.orthogonal._proof_1 0.000229 s: bilin_form.is_ortho.equations._eqn_1 0.004134 s: bilin_form.orthogonal._proof_2 0.001982 s: bilin_form.orthogonal._proof_3 0.000934 s: bilin_form.orthogonal 0.006432 s: mem_span_finset 0.050153 s: bilin_form.span_singleton_inf_orthogonal_eq_bot 0.000134 s: nonempty.some.equations._eqn_1 0.008335 s: enorm.no_confusion_type 0.002033 s: enorm.no_confusion 0.001845 s: enorm.mk.inj 0.002663 s: enorm.mk.inj_eq 0.000140 s: is_clopen.equations._eqn_1 0.179580 s: deriv_within_cosh 0.000088 s: functor.supp 0.000195 s: functor.supp.equations._eqn_1 0.017504 s: lie_submodule.quotient.is_quotient_mk 0.003476 s: lie_submodule.quotient.mk_bracket 0.003911 s: lie_submodule.quotient.lie_quotient_lie_ring._proof_1 0.003348 s: lie_submodule.quotient.lie_quotient_lie_ring._proof_2 0.002853 s: lie_submodule.quotient.lie_quotient_lie_ring._proof_3 0.003600 s: lie_submodule.quotient.lie_quotient_lie_ring._proof_4 0.001679 s: lie_submodule.quotient.lie_quotient_lie_ring 0.004470 s: lie_submodule.quotient.lie_quotient_lie_algebra._proof_1 0.001277 s: lie_submodule.quotient.lie_quotient_lie_algebra 0.001641 s: lie_submodule.quotient.lie_quotient_lie_algebra.equations._eqn_1 0.000996 s: CommRing.colimits.cocone_fun.equations._eqn_1 0.002180 s: category_theory.equivalence.mk.equations._eqn_1 0.003798 s: quotient_add_group.range_ker_lift_surjective 0.003115 s: category_theory.creates_limit_of_reflects_iso.equations._eqn_1 0.001050 s: normed_group.of_add_dist._proof_1 0.000467 s: turing.fin_tm2.sizeof 0.000075 s: turing.fin_tm2.has_sizeof_inst 0.000134 s: turing.tm2_computable_aux.sizeof 0.000044 s: turing.tm2_computable_aux.has_sizeof_inst 0.000435 s: turing.tm2_computable.sizeof 0.000098 s: turing.tm2_computable.has_sizeof_inst 0.001224 s: submonoid.localization_map.sizeof 0.000045 s: vm_decl_kind.cfun.inj_eq 0.000068 s: urysohns.CU.inhabited._proof_1 0.000124 s: rbnode.find._match_1.equations._eqn_2 0.000300 s: is_compact.inter 0.000135 s: topological_space.compacts.semilattice_inf_bot._proof_1 0.002613 s: topological_space.compacts.semilattice_inf_bot 0.000095 s: topological_space.compacts.semilattice_sup_bot._proof_1 0.002066 s: topological_space.compacts.semilattice_sup_bot 0.000299 s: measure_theory.inner_content 0.000095 s: topological_space.opens.has_emptyc 0.001364 s: topological_space.compacts.bot_val 0.039137 s: measure_theory.inner_content_empty 0.012865 s: measure_theory.outer_measure.of_content 0.004067 s: set.diff_inter_diff 0.000893 s: sdiff_le_comm 0.002967 s: set.diff_subset_comm 0.002258 s: set.diff_inter 0.001828 s: is_compact.binary_compact_cover 0.001847 s: finset.supr_insert_update 0.002557 s: finset.set_bUnion_insert_update 0.007233 s: is_compact.finite_compact_cover 0.003046 s: finset.sup_coe 0.003110 s: topological_space.compacts.finset_sup_val 0.026809 s: ennreal.sum_le_tsum 0.067721 s: measure_theory.inner_content_Sup_nat 0.009956 s: measure_theory.inner_content_Union_nat 0.007145 s: measure_theory.inner_content_mono 0.007879 s: measure_theory.outer_measure.of_content_opens 0.000378 s: measure_theory.inner_content.equations._eqn_1 0.035978 s: measure_theory.inner_content_exists_compact 0.014058 s: measure_theory.outer_measure.of_content.equations._eqn_1 0.008050 s: measure_theory.le_inner_content 0.020230 s: measure_theory.outer_measure.le_of_content_compacts 0.032342 s: measure_theory.outer_measure.of_content_exists_compact 0.000183 s: punit.fintype.equations._eqn_1 0.091788 s: lie_submodule.quotient.lie_submodule_invariant.equations._eqn_1 0.022514 s: multiset.to_finset_sum_count_eq 0.167506 s: pmf.of_multiset._proof_1 0.016165 s: pmf.of_multiset 0.001880 s: bilin_form.lin_mul_lin._proof_3 0.000080 s: ordnode.insert' 0.000134 s: ordnode.union._match_1 0.000114 s: ordnode.split._match_2 0.000087 s: ordnode.split._match_3 0.000090 s: ordnode.split._match_1 0.000710 s: ordnode.split._main 0.000095 s: ordnode.split 0.000728 s: ordnode.union._main 0.000072 s: ordnode.union 0.001501 s: ordnode.union._main.equations._eqn_4 0.000457 s: ordnode.union.equations._eqn_4 0.060186 s: category_theory.equivalence.op._proof_1 0.037876 s: category_theory.equivalence.op 0.000234 s: pgame.domineering.move_left 0.000152 s: pgame.domineering.shift_up._proof_1 0.002753 s: pgame.domineering.shift_up 0.000122 s: pgame.domineering.left 0.000155 s: pgame.domineering.move_right 0.000479 s: function.embedding.refl_apply 0.016077 s: pgame.domineering.card_of_mem_left 0.011524 s: pgame.domineering.move_left_card 0.007838 s: pgame.domineering.move_left_smaller 0.001430 s: pgame.domineering.state._proof_1 0.010977 s: pgame.domineering.move_right_card 0.006448 s: pgame.domineering.move_right_smaller 0.001353 s: pgame.domineering.state._proof_2 0.000388 s: pgame.domineering.state 0.000041 s: pgame.domineering 0.000141 s: pgame.domineering.L 0.001282 s: pgame.left_moves_of_aux 0.000225 s: pgame.fintype_left_moves_of_aux 0.000304 s: pgame.fintype_right_moves_of_aux 0.001364 s: pgame.relabelling_move_left_aux._proof_1 0.000946 s: pgame.relabelling_move_left_aux._proof_2 0.001317 s: pgame.relabelling_move_left_aux._proof_3 0.006382 s: pgame.relabelling_move_left_aux._proof_4 0.000976 s: pgame.relabelling_move_left_aux._proof_5 0.000045 s: pgame.relabelling.refl 0.003219 s: pgame.relabelling_move_left_aux 0.000977 s: pgame.relabelling_move_right_aux._proof_1 0.000816 s: pgame.relabelling_move_right_aux._proof_2 0.000815 s: pgame.relabelling_move_right_aux._proof_3 0.000674 s: pgame.relabelling_move_right_aux._proof_5 0.003008 s: pgame.relabelling_move_right_aux 0.007194 s: pgame.short_of_aux._main 0.000135 s: pgame.short_of_aux 0.000132 s: pgame.short_of 0.000052 s: pgame.short_domineering 0.000485 s: pgame.short_L 0.000874 s: pgame.short_L.equations._eqn_1 0.003585 s: submodule.map_inl 0.000227 s: functor.liftr 0.001869 s: qpf.cofix.bisim_rel 0.005728 s: qpf.liftr_iff 0.002835 s: qpf.cofix.bisim 0.000124 s: free_ring.comm_ring._proof_15 0.000470 s: category_theory.functor.ess_image.category_theory.category 0.000360 s: category_theory.functor.obj_mem_ess_image 0.000315 s: category_theory.functor.ess_image_inclusion 0.000434 s: category_theory.functor.ess_image_inclusion.full 0.004374 s: category_theory.functor.to_ess_image._proof_1 0.008435 s: category_theory.functor.to_ess_image._proof_2 0.002485 s: category_theory.functor.to_ess_image 0.001401 s: category_theory.functor.to_ess_image_obj_coe 0.002985 s: algebra.bit0_smul_one 0.058976 s: ennreal.coe_mul_rpow 0.007488 s: ennreal.mul_rpow_of_ne_top 0.003764 s: category_theory.category.cases_on 0.000898 s: category_theory.category.no_confusion_type 0.001386 s: category_theory.category.no_confusion 0.001622 s: category_theory.category.mk.inj 0.000373 s: buffer.rev_iterate._main 0.000068 s: buffer.rev_iterate 0.000810 s: buffer.rev_iterate._main.equations._eqn_1 0.000172 s: buffer.rev_iterate.equations._eqn_1 0.003502 s: qpf.Wequiv 0.000240 s: inv_neg 0.141007 s: interval_integral.integral_comp_sub_mul 0.105158 s: interval_integral.smul_integral_comp_sub_mul 0.143240 s: interval_integral.mul_integral_comp_sub_mul 0.000514 s: add_equiv.add_subgroup_congr._proof_1 0.016000 s: add_equiv.add_subgroup_congr._proof_2 0.002527 s: add_equiv.add_subgroup_congr._proof_3 0.003167 s: add_equiv.add_subgroup_congr._proof_4 0.006083 s: add_equiv.add_subgroup_congr 0.003705 s: add_equiv.add_subgroup_congr.equations._eqn_1 0.000754 s: differentiable.mul 0.000208 s: int.repr._main 0.000012 s: int.repr 0.000518 s: omega.int.preterm.repr._main 0.000036 s: omega.int.preterm.repr 0.000706 s: omega.int.preform.repr._main 0.000013 s: omega.int.preform.repr 0.000825 s: omega.int.preform.repr._main.equations._eqn_5 0.000116 s: omega.int.preform.repr.equations._eqn_5 0.002189 s: category_theory.nat_trans.congr_app 0.005049 s: category_theory.sieve.functor_inclusion_is_mono 0.000170 s: with_zero.semiring._proof_6 0.001617 s: ring_equiv.subsemiring_congr._proof_4 0.004010 s: set.Ioo_subset_Ioc_union_Ioo 0.008573 s: category_theory.coev_ev 0.001233 s: ite_add_zero 0.005963 s: category_theory.costructured_arrow.mk_id_terminal._proof_1 0.011381 s: category_theory.costructured_arrow.mk_id_terminal._proof_2 0.022249 s: category_theory.costructured_arrow.mk_id_terminal._proof_3 0.010002 s: category_theory.costructured_arrow.mk_id_terminal 0.007973 s: category_theory.costructured_arrow.mk_id_terminal.equations._eqn_1 0.003639 s: lie_hom.comp_apply 0.008479 s: list.revzip_sublists' 0.004017 s: multiset.revzip_powerset_aux' 0.000953 s: multiset.revzip_powerset_aux_perm_aux' 0.000553 s: multiset.antidiagonal_coe' 0.001364 s: multiset.antidiagonal_map_fst 0.001453 s: multiset.card_antidiagonal 0.000073 s: pseudo_metric_space.has_sizeof_inst 0.000233 s: metric_space.sizeof 0.000063 s: metric_space.has_sizeof_inst 0.000288 s: Gromov_Hausdorff.aux_gluing_struct.sizeof 0.000047 s: Gromov_Hausdorff.aux_gluing_struct.has_sizeof_inst 0.002983 s: is_scalar_tower.of_algebra_map_eq' 0.002514 s: con.map_of_surjective._match_5 0.002144 s: con.map_of_surjective._match_6 0.003056 s: con.map_of_surjective._match_6.equations._eqn_1 0.000616 s: znum.decidable_lt._main.equations._eqn_1 0.001026 s: list.alternating_prod._main 0.000050 s: list.alternating_prod 0.000608 s: list.alternating_prod._main.equations._eqn_1 0.000156 s: list.alternating_prod.equations._eqn_1 0.000134 s: bdd_below.equations._eqn_1 0.000061 s: unsigned.has_sub 0.000179 s: boolean_algebra.is_complemented 0.000839 s: has_continuous_add.has_measurable_mul₂.equations._eqn_1 0.000815 s: nat.find_x.equations._eqn_1 0.000709 s: AddCommGroup.kernel_iso_ker_over._proof_3 0.000138 s: AddCommGroup.kernel_iso_ker_over._proof_1 0.000099 s: AddCommGroup.kernel_iso_ker_over._proof_2 0.073930 s: AddCommGroup.kernel_iso_ker_over._proof_5 0.060217 s: AddCommGroup.kernel_iso_ker_over 0.043054 s: AddCommGroup.kernel_iso_ker_over_hom_left_apply_coe 0.000148 s: znum.mod._main.equations._eqn_1 0.000042 s: znum.mod.equations._eqn_1 0.013602 s: ulift.comm_ring.equations._eqn_1 0.001984 s: category_theory.limits.wide_pullback_shape.mk_cone._match_1.equations._eqn_1 0.000018 s: tactic.tactic_script 0.000031 s: tactic.tactic_script.base 0.000040 s: _nest_1_1.list.tactic.tactic_script 0.000113 s: _nest_1_1.tactic.tactic_script.work 0.000023 s: _nest_1_1.list.tactic.tactic_script.nil 0.000031 s: _nest_1_1.list.tactic.tactic_script.cons 0.000064 s: tactic.tactic_script.primitive.pack 0.000022 s: tactic.tactic_script.pack_1_2 0.000036 s: tactic.tactic_script.work 0.000872 s: _nest_1_1.tactic.tactic_script.rec 0.000759 s: _nest_1_1.list.tactic.tactic_script.rec 0.000145 s: tactic.tactic_script.primitive.unpack 0.000040 s: tactic.tactic_script.unpack_1_2 0.000306 s: tactic.tactic_script.primitive.unpack._nest_1_1.list.tactic.tactic_script.nil.spec 0.000113 s: tactic.tactic_script.primitive.pack.list.nil.spec 0.000302 s: tactic.tactic_script.primitive.unpack._nest_1_1.list.tactic.tactic_script.cons.spec 0.000124 s: tactic.tactic_script.primitive.pack.list.cons.spec 0.001041 s: tactic.tactic_script.primitive.pack_unpack 0.000241 s: tactic.tactic_script.pack_unpack_1_2 0.000463 s: tactic.tactic_script.rec 0.000229 s: list.lex.is_trichotomous.equations._eqn_1 0.000519 s: 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additive.add_right_cancel_semigroup._proof_2 0.002620 s: additive.add_right_cancel_semigroup 0.000165 s: additive.add_right_cancel_monoid._proof_2 0.001978 s: subgroup.top_normal.equations._eqn_1 0.000066 s: smt_pre_config.max_steps 0.004001 s: padic_norm_e.eq_of_norm_add_lt_right 0.000061 s: category_theory.comm_monoid_discrete 0.000138 s: category_theory.discrete.braided_category._proof_1 0.006519 s: category_theory.discrete.braided_category._proof_2 0.005954 s: category_theory.discrete.braided_category._proof_3 0.006232 s: category_theory.discrete.braided_category._proof_4 0.003804 s: category_theory.discrete.braided_category 0.001541 s: category_theory.lax_braided_functor.map_CommMon._proof_1 0.001844 s: category_theory.lax_braided_functor.map_CommMon._proof_3 0.003713 s: category_theory.lax_braided_functor.braided 0.008506 s: category_theory.lax_braided_functor.map_CommMon._proof_4 0.029166 s: category_theory.lax_braided_functor.map_CommMon._proof_5 0.063941 s: category_theory.lax_braided_functor.map_CommMon._proof_6 0.025190 s: category_theory.lax_braided_functor.map_CommMon 0.012822 s: category_theory.lax_braided_functor.map_CommMon_functor._proof_1 0.010823 s: category_theory.lax_braided_functor.map_CommMon_functor._proof_2 0.057006 s: category_theory.lax_braided_functor.map_CommMon_functor._proof_3 0.109965 s: category_theory.lax_braided_functor.map_CommMon_functor._proof_4 0.099424 s: category_theory.lax_braided_functor.map_CommMon_functor._proof_5 0.060481 s: category_theory.lax_braided_functor.map_CommMon_functor 0.008961 s: Mon_.trivial._proof_1 0.002396 s: category_theory.monoidal_category.unitors_equal 0.001275 s: Mon_.trivial._proof_2 0.001526 s: Mon_.trivial._proof_3 0.000693 s: Mon_.trivial 0.000874 s: CommMon_.trivial._proof_1 0.000543 s: CommMon_.trivial._proof_2 0.000633 s: CommMon_.trivial._proof_3 0.002428 s: category_theory.braiding_left_unitor_aux₁ 0.008898 s: category_theory.braiding_left_unitor_aux₂ 0.001753 s: category_theory.braiding_left_unitor 0.002873 s: CommMon_.trivial._proof_4 0.001805 s: CommMon_.trivial 0.009281 s: CommMon_.equiv_lax_braided_functor_punit.lax_braided_to_CommMon._proof_1 0.007089 s: CommMon_.equiv_lax_braided_functor_punit.lax_braided_to_CommMon._proof_2 0.017077 s: CommMon_.equiv_lax_braided_functor_punit.lax_braided_to_CommMon 0.012389 s: CommMon_.equiv_lax_braided_functor_punit.lax_braided_to_CommMon_map 0.001663 s: mv_polynomial.comap 0.002207 s: mv_polynomial.aeval_unique 0.001455 s: mv_polynomial.comap.equations._eqn_1 0.002269 s: mv_polynomial.aeval_C 0.065149 s: mv_polynomial.comap_comp_apply 0.007489 s: list.concat_perm 0.000175 s: nat.shiftl'._main.equations._eqn_1 0.000055 s: nat.shiftl'.equations._eqn_1 0.020653 s: nat.shiftl'_tt_eq_mul_pow 0.005574 s: int.shiftl_eq_mul_pow 0.003683 s: finset.prod_add_prod_eq 0.000071 s: topological_space.positive_compacts 0.000394 s: measure_theory.measure.haar.haar_product 0.000075 s: topological_space.open_nhds_of 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measure_theory.measure.haar.echaar.equations._eqn_1 0.000787 s: measure_theory.measure.haar.cl_prehaar.equations._eqn_1 0.002366 s: nat.Inf_eq_zero 0.002116 s: measure_theory.measure.haar.index_empty 0.037246 s: measure_theory.measure.haar.prehaar_empty 0.004801 s: measure_theory.measure.haar.chaar_mem_cl_prehaar 0.067388 s: measure_theory.measure.haar.chaar_empty 0.018276 s: measure_theory.measure.haar_outer_measure._proof_1 0.000382 s: measure_theory.measure.haar_outer_measure 0.009728 s: measure_theory.inner_content_mono' 0.010048 s: measure_theory.outer_measure.of_content_caratheodory 0.000201 s: set.mem_def 0.004813 s: measure_theory.measure.haar.index_union_le 0.080021 s: measure_theory.measure.haar.prehaar_sup_le 0.108658 s: measure_theory.measure.haar.chaar_sup_le 0.016050 s: measure_theory.measure.haar.echaar_sup_le 0.001265 s: measure_theory.measure.haar_outer_measure_caratheodory 0.006523 s: category_theory.limits.cocone.op_π_app 0.002652 s: is_compact.elim_nhds_subcover 0.003629 s: compact_space.elim_nhds_subcover 0.000939 s: with_bot.densely_ordered._match_3 0.000160 s: norm_cast.label.of_string._main 0.000011 s: norm_cast.label.of_string 0.000181 s: norm_cast.label.of_string._main.equations._eqn_1 0.000044 s: norm_cast.label.of_string.equations._eqn_1 0.000240 s: has_measurable_div₂.rec_on 0.001089 s: normed_ring.cases_on 0.000265 s: zsqrtd.le 0.000116 s: zsqrtd.has_le 0.000100 s: zsqrtd.lt 0.007170 s: zsqrtd.le_refl 0.004087 s: zsqrtd.le_trans 0.005087 s: zsqrtd.nonneg_total 0.003897 s: zsqrtd.le_total 0.000202 s: zsqrtd.preorder._proof_1 0.000487 s: zsqrtd.preorder 0.000079 s: zsqrtd.linear_order._proof_1 0.000163 s: zsqrtd.linear_order._proof_2 0.000617 s: zsqrtd.linear_order._proof_3 0.008624 s: zsqrtd.not_sq_le_succ 0.000071 s: nat.coprime.mul_right 0.007795 s: zsqrtd.divides_sq_eq_zero 0.000446 s: zsqrtd.not_divides_square 0.012342 s: zsqrtd.nonneg_antisymm 0.006392 s: zsqrtd.le_antisymm 0.001006 s: zsqrtd.decidable_le 0.000094 s: zsqrtd.linear_order._proof_4 0.000130 s: zsqrtd.linear_order._proof_5 0.000261 s: zsqrtd.linear_order._proof_6 0.001291 s: zsqrtd.linear_order 0.001091 s: zsqrtd.linear_order.equations._eqn_1 0.000145 s: list.decidable_bex._main._proof_2 0.001418 s: list.decidable_bex._main.equations._eqn_2 0.066751 s: times_cont_diff_within_at.sqrt 0.076328 s: times_cont_diff_on.sqrt 0.000312 s: set.comm_monoid._proof_1 0.000114 s: set.comm_monoid._proof_2 0.000096 s: set.comm_monoid._proof_3 0.011188 s: set.comm_monoid._proof_4 0.001745 s: set.comm_monoid._proof_5 0.004219 s: set.image2_swap 0.001275 s: set.mul_comm 0.000107 s: set.comm_monoid._proof_6 0.001541 s: set.comm_monoid 0.000127 s: set.set_semiring.comm_semiring._proof_16 0.001046 s: category_theory.sieve.pushforward._proof_1 0.000565 s: category_theory.sieve.pushforward 0.002898 s: category_theory.sieve.pushforward_le_bind_of_mem 0.000698 s: algebraic_geometry.PresheafedSpace.mk.sizeof_spec 0.000240 s: onote.sub_NF._sunfold 0.018146 s: nnreal.lt_inv_iff_mul_lt 0.058904 s: nnreal.le_of_forall_lt_one_mul_le 0.000586 s: adjoin_one_obj 0.023582 s: is_noetherian_submodule_right 0.002657 s: category_theory.half_braiding.sizeof 0.000124 s: category_theory.half_braiding.has_sizeof_inst 0.000182 s: sum.get_right._main 0.000184 s: monad_cont.cases_on 0.000106 s: monad_cont.no_confusion_type 0.000444 s: monad_cont.no_confusion 0.000191 s: monad_cont.mk.inj 0.001279 s: semimodule.core.cases_on 0.000595 s: semimodule.core.no_confusion_type 0.001044 s: semimodule.core.no_confusion 0.001040 s: semimodule.core.mk.inj 0.001811 s: semimodule.core.mk.inj_arrow 0.000120 s: auto.auto_config 0.000072 s: auto.auto_config.sizeof 0.000121 s: auto.auto_config.mk.sizeof_spec 0.000529 s: std_next._sunfold 0.001684 s: Algebra.sections_subalgebra._proof_1 0.001345 s: Algebra.sections_subalgebra._proof_2 0.000972 s: Algebra.sections_subalgebra._proof_3 0.001386 s: Algebra.sections_subalgebra._proof_4 0.002515 s: Algebra.sections_subalgebra._proof_5 0.064311 s: Algebra.sections_subalgebra 0.170503 s: Algebra.limit_semiring 0.197220 s: Algebra.limit_algebra._proof_1 0.004548 s: Algebra.limit_algebra 0.001354 s: Algebra.semiring_obj 0.009645 s: Algebra.algebra_obj 0.001473 s: Algebra.limit_π_alg_hom._proof_1 0.001310 s: Algebra.limit_π_alg_hom._proof_2 0.000893 s: Algebra.limit_π_alg_hom._proof_3 0.062109 s: Algebra.limit_π_alg_hom._proof_5 0.910976 s: Algebra.limit_π_alg_hom 0.075474 s: Algebra.has_limits.limit_cone._proof_1 0.008058 s: Algebra.has_limits.limit_cone 0.000290 s: Algebra.has_limits.limit_cone_is_limit._proof_1 0.004117 s: Algebra.has_limits.limit_cone_is_limit._proof_2 0.060206 s: Algebra.has_limits.limit_cone_is_limit._proof_3 0.090464 s: Algebra.has_limits.limit_cone_is_limit._proof_4 0.077352 s: Algebra.has_limits.limit_cone_is_limit._proof_5 0.108602 s: Algebra.has_limits.limit_cone_is_limit._proof_6 0.266519 s: Algebra.has_limits.limit_cone_is_limit._proof_7 0.607890 s: Algebra.has_limits.limit_cone_is_limit._proof_8 0.066224 s: Algebra.has_limits.limit_cone_is_limit 0.000621 s: Algebra.has_limits 0.000061 s: times_cont_diff_bump_of_inner.has_sizeof_inst 0.000115 s: omega.nat.preform.fresh_index._sunfold 0.000190 s: monad_io_process.sleep 0.000014 s: monad_io_process_impl 0.000029 s: io.proc.sleep 0.000151 s: io.proc.sleep.equations._eqn_1 0.007006 s: asymptotics.is_o.mul 0.012930 s: asymptotics.is_o.smul 0.066175 s: function.injective.integral_domain._proof_5 0.000248 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_1 0.000410 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_2 0.021628 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_3 0.007722 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_4 0.002558 s: Mon_.one_mul_hom 0.004641 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_5 0.000148 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_7 0.000259 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_8 0.008386 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_9 0.008370 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_10 0.006388 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_11 0.007031 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_12 0.000226 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_13 0.000267 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_14 0.008201 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_15 0.008756 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_16 0.004981 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_17 0.006157 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_18 0.085195 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_19 0.002911 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_20 0.078119 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_21 0.121872 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal._proof_22 0.093061 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal 0.001878 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal_obj_to_functor_obj 0.000336 s: mul_one_class.cases_on 0.000234 s: mul_one_class.no_confusion_type 0.011836 s: measure_theory.measure.rec_on 0.002581 s: is_CHSH_tuple.A₁B₀_commutes 0.000132 s: string.iterator.insert._main 0.000011 s: string.iterator.insert 0.000542 s: string.iterator.insert._main.equations._eqn_1 0.000060 s: string.iterator.insert.equations._eqn_1 0.003296 s: language.semiring._proof_7 0.002549 s: category_theory.transfer_nat_trans_self_symm_comp 0.001650 s: category_theory.transfer_nat_trans_self_symm_id 0.002133 s: category_theory.transfer_nat_trans_self_symm_comm 0.002070 s: category_theory.transfer_nat_trans_self_symm_iso 0.001393 s: category_theory.transfer_nat_trans_self_of_iso 0.004839 s: category_theory.frobenius_morphism_iso_of_exp_comparison_iso 0.004725 s: pi_tensor_product.induction_on 0.032951 s: pi_tensor_product.pempty_equiv._proof_7 0.008617 s: order_top.cases_on 0.000575 s: order_top.ext_top 0.017498 s: order_top.ext 0.077921 s: mv_polynomial.radical_le_vanishing_ideal_zero_locus 0.000369 s: filter.is_countably_generated_binfi_principal 0.000959 s: pprod.has_variable_names._proof_1 0.000350 s: pprod.has_variable_names 0.000157 s: pprod.has_variable_names.equations._eqn_1 0.027519 s: category_theory.exp.adjunction.equations._eqn_1 0.001101 s: is_atomistic.drec_on 0.001755 s: category_theory.core.comp_hom 0.000532 s: function.mul_support_one_add 0.000230 s: prod.rprod.rec_on 0.000266 s: prod.rprod_sub_lex 0.021599 s: le_geom 0.000221 s: summable_zero 0.029787 s: summable_of_ratio_norm_eventually_le 0.039779 s: summable_of_ratio_test_tendsto_lt_one 0.000816 s: nnreal.coe_bit0 0.006195 s: filter.exists_le_of_tendsto_at_top 0.005376 s: ennreal.tsum_eq_supr_nat' 0.002227 s: two_nsmul 0.004776 s: finset.prod_pow 0.011832 s: finset.sum_nsmul 0.002426 s: nsmul_le_nsmul_of_le_right 0.004610 s: nat.one_le_pow 0.000612 s: nat.one_le_two_pow 0.030543 s: finset.sum_condensed_le' 0.013139 s: finset.sum_condensed_le 0.058386 s: ennreal.tsum_condensed_le 0.008080 s: finset.sum_range_zero 0.018439 s: finset.le_sum_condensed' 0.003714 s: finset.le_sum_condensed 0.051918 s: ennreal.le_tsum_condensed 0.081764 s: nnreal.summable_condensed_iff 0.039902 s: summable_condensed_iff_of_nonneg 0.005415 s: summable_geometric_of_norm_lt_1 0.094667 s: summable_geometric_iff_norm_lt_1 0.025565 s: real.rpow_sub 0.000526 s: filter.eventually_cofinite_ne 0.032654 s: inv_lt_one_iff_of_pos 0.011563 s: real.one_lt_rpow_iff_of_pos 0.000079 s: has_lt.lt.not_lt 0.004873 s: nat.cast_lt_one 0.347693 s: real.summable_nat_rpow_inv 0.005143 s: nnreal.summable_one_rpow_inv 0.002082 s: congr_arg_kind 0.000024 s: congr_arg_kind.cast.inj 0.000044 s: congr_arg_kind.cast.inj_arrow 0.003377 s: dfinsupp.map_range.linear_equiv_apply 0.000495 s: filter.lift'_lift_assoc 0.002226 s: countable_bInter_mem_sets 0.003337 s: countable_Inter_filter_inf 0.001671 s: submonoid.localization_map.eq_iff_eq 0.006538 s: localization_map.eq_iff_eq 0.000698 s: function.bijective.comp 0.000374 s: Profinite.cases_on 0.000131 s: Profinite.no_confusion_type 0.000543 s: Profinite.no_confusion 0.000363 s: Profinite.mk.inj 0.023374 s: bounded_continuous_function.C._proof_1 0.007647 s: bounded_continuous_function.C._proof_2 0.006837 s: bounded_continuous_function.C._proof_3 0.007074 s: bounded_continuous_function.C._proof_4 0.002059 s: bounded_continuous_function.C 0.045759 s: bounded_continuous_function.algebra._proof_2 0.000238 s: pgame.lt_decidable 0.000258 s: pgame.lt_decidable.equations._eqn_1 0.000446 s: continuous_multilinear_map.uncurry_sum._proof_5 0.000061 s: primrec.bnot 0.005788 s: primrec.not 0.003670 s: primrec.nat_lt 0.000289 s: primcodable.fin._proof_1 0.000226 s: primcodable.fin 0.002033 s: primrec.of_equiv_symm 0.000518 s: primrec.of_equiv 0.001003 s: primrec.of_equiv_iff 0.001060 s: primrec.fin_val_iff 0.000488 s: primrec.fin_val 0.001216 s: primrec.fin_succ 0.000206 s: pSet.resp.equiv.equations._eqn_1 0.000438 s: set.mul_indicator_of_mem 0.000175 s: set.mul_indicator_of_not_mem 0.001007 s: set.mul_indicator_apply_le' 0.001064 s: set.le_mul_indicator_apply 0.000221 s: set.one_le_mul_indicator_apply 0.000579 s: set.mul_indicator_le_mul_indicator_of_subset 0.000693 s: measure_theory.outer_measure.sizeof 0.000909 s: measure_theory.outer_measure.mk.sizeof_spec 0.041787 s: category_theory.monoidal_nat_trans.hcomp._proof_3 0.000400 s: monoid_hom.eval 0.168940 s: tensor_product.lie_module.lift_lie.equations._eqn_1 0.026480 s: lie_module_equiv.coe_to_linear_equiv 0.059165 s: lie_module.coe_maximal_trivial_linear_map_equiv_lie_module_hom 0.101670 s: lie_module.coe_maximal_trivial_equiv_apply 0.054575 s: lie_module.coe_maximal_trivial_linear_map_equiv_lie_module_hom_symm_apply 0.086800 s: tensor_product.lie_module.lift_apply 0.289112 s: tensor_product.lie_module.lift_lie_apply 0.012383 s: list.foldr_permutations_aux2 0.006154 s: list.length_permutations_aux2 0.003086 s: list.length_foldr_permutations_aux2 0.000102 s: ereal.order_bot 0.000039 s: ereal.order_top 0.000083 s: ereal.has_coe 0.000434 s: ereal.neg._main 0.001602 s: ereal.neg._main.equations._eqn_2 0.001948 s: category_theory.cofinal.colimit_cocone_comp.equations._eqn_1 0.000554 s: pnat.gcd_eq_left 0.001750 s: add_monoid_algebra.add_group.equations._eqn_1 0.000656 s: free_ring.comm_ring._proof_7 0.002811 s: CommMon_Type_equivalence_CommMon._proof_10 0.000286 s: wseq.productive_tail 0.000257 s: wseq.productive_tail.equations._eqn_1 0.007975 s: category_theory.equivalence.functor_as_equivalence 0.000086 s: omega.nat.is_nnf._sunfold 0.002221 s: units.comm_group.equations._eqn_1 0.000249 s: sigma.topological_space.equations._eqn_1 0.064526 s: coinduced_bot 0.016524 s: sigma.discrete_topology 0.006524 s: sigma.discrete_topology.equations._eqn_1 0.003761 s: vector.flip.is_lawful_traversable._proof_1 0.005143 s: vector.id_traverse 0.000126 s: cast.equations._eqn_1 0.002894 s: vector.traverse_def 0.015120 s: vector.comp_traverse 0.002964 s: set_coe_cast 0.009477 s: vector.traverse_eq_map_id 0.007068 s: vector.naturality 0.002372 s: vector.flip.is_lawful_traversable 0.001466 s: vector.flip.is_lawful_traversable.equations._eqn_1 0.000723 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.work_0.inj 0.000235 s: _nest_1_1.tactic.tactic_script.work.inj 0.000186 s: _nest_1_1.tactic.tactic_script.work.inj_arrow 0.000709 s: tactic.tactic_script.primitive.unpack_pack 0.000162 s: tactic.tactic_script.unpack_pack_1_2 0.000425 s: tactic.tactic_script.pack_1_2.inj 0.000307 s: tactic.tactic_script.work.inj 0.000049 s: list.lt 0.000046 s: list.has_lt 0.000060 s: list.le 0.000033 s: list.has_le 0.000131 s: list.le_eq_not_gt 0.000274 s: simple_graph.adj_matrix._main 0.000128 s: simple_graph.adj_matrix 0.001752 s: matrix.trace_diag 0.000431 s: simple_graph.adj_matrix_apply 0.000087 s: simple_graph.irrefl 0.003782 s: simple_graph.trace_adj_matrix 0.000701 s: continuous_map.abs.equations._eqn_1 0.000928 s: equiv.swap_apply_apply 0.001308 s: measurable_to_encodable 0.000129 s: measurable_to_nat 0.000238 s: nat.find_greatest_zero 0.001033 s: nat.find_greatest_of_not 0.012317 s: nat.find_greatest_eq_iff 0.000185 s: nat.find_greatest_le 0.000754 s: measurable_find_greatest' 0.001920 s: category_theory.Mat_.lift._proof_1 0.005435 s: category_theory.limits.biproduct.ι_matrix 0.018265 s: category_theory.Mat_.lift._proof_2 0.006264 s: category_theory.limits.biproduct.ι_matrix_assoc 0.006096 s: category_theory.limits.biproduct.lift_matrix 0.021747 s: category_theory.Mat_.lift._proof_3 0.005519 s: category_theory.Mat_.lift 0.000636 s: category_theory.Mat_.ext._proof_1 0.000344 s: category_theory.limits.biproduct.map_iso._proof_2 0.000544 s: category_theory.Mat_.lift_unique._proof_1 0.000204 s: category_theory.limits.biproduct.map_iso._proof_1 0.000133 s: category_theory.limits.biproduct.map_iso._proof_3 0.000241 s: category_theory.limits.biproduct.map_iso._proof_4 0.002569 s: category_theory.limits.biproduct.ι_map_assoc 0.006239 s: category_theory.limits.biproduct.map_iso._proof_5 0.007142 s: category_theory.limits.biproduct.map_iso._proof_6 0.001943 s: category_theory.limits.biproduct.map_iso 0.000810 s: category_theory.Mat_.lift_unique._proof_2 0.000561 s: category_theory.Mat_.embedding_lift_iso._proof_1 0.000451 s: category_theory.Mat_.embedding_lift_iso._proof_2 0.017123 s: category_theory.Mat_.embedding_lift_iso._proof_3 0.016689 s: category_theory.Mat_.embedding_lift_iso._proof_4 0.070699 s: category_theory.Mat_.embedding_lift_iso._proof_5 0.019952 s: category_theory.Mat_.embedding_lift_iso 0.055939 s: category_theory.Mat_.lift_additive 0.007865 s: category_theory.Mat_.lift_unique._proof_3 0.009421 s: category_theory.Mat_.additive_obj_iso_biproduct_naturality_assoc 0.005285 s: category_theory.limits.biproduct.map_π 0.004497 s: category_theory.limits.biproduct.lift_map 0.007496 s: category_theory.limits.biproduct.matrix_map 0.003837 s: category_theory.limits.biproduct.matrix_map_assoc 0.005632 s: category_theory.Mat_.additive_obj_iso_biproduct_naturality' 0.010161 s: category_theory.limits.biproduct.map_matrix 0.004229 s: category_theory.limits.biproduct.map_matrix_assoc 0.110955 s: category_theory.Mat_.lift_unique._proof_4 0.021506 s: category_theory.Mat_.lift_unique 0.000492 s: category_theory.Mat_.ext._proof_2 0.000507 s: category_theory.Mat_.ext._proof_3 0.002083 s: category_theory.Mat_.ext 0.001731 s: category_theory.Mat_.ext.equations._eqn_1 0.000164 s: field_of_integral_domain._proof_15 0.000054 s: left_identity 0.000065 s: left_identity.equations._eqn_1 0.002055 s: add_equiv.to_linear_equiv.equations._eqn_1 0.000512 s: lie_subalgebra.lie_span 0.004934 s: lie_subalgebra.mem_lie_span 0.011794 s: is_solvable_of_comm 0.006338 s: category_theory.subobject.factors_left_of_inf_factors 0.001902 s: category_theory.subobject.factors_right_of_inf_factors 0.015445 s: category_theory.subobject.inf_factors 0.000121 s: nat.mul_right_injective 0.000123 s: nat.mul_ne_mul_right 0.003224 s: complete_semilattice_Sup.cases_on 0.000093 s: ordnode.real_size 0.000158 s: ordnode.to_list.equations._eqn_1 0.001140 s: ordnode.foldr._main.equations._eqn_2 0.000222 s: ordnode.foldr.equations._eqn_2 0.002655 s: ordnode.foldr_cons_eq_to_list 0.000577 s: ordnode.to_list_node 0.002892 s: ordnode.length_to_list' 0.007093 s: bilin_form.is_pair_self_adjoint_submodule._proof_1 0.005826 s: bilin_form.is_pair_self_adjoint_submodule._proof_2 0.000416 s: bilin_form.is_pair_self_adjoint 0.002749 s: bilin_form.zero_left 0.004326 s: bilin_form.is_adjoint_pair_zero 0.000684 s: bilin_form.is_pair_self_adjoint_submodule._proof_3 0.003166 s: bilin_form.is_adjoint_pair.add 0.001295 s: bilin_form.is_pair_self_adjoint_submodule._proof_4 0.014370 s: bilin_form.is_adjoint_pair.smul 0.006820 s: bilin_form.is_pair_self_adjoint_submodule._proof_5 0.006455 s: bilin_form.is_pair_self_adjoint_submodule 0.000997 s: bilin_form.self_adjoint_submodule 0.001785 s: bilin_form.self_adjoint_submodule.equations._eqn_1 0.001658 s: range_half_space 0.000229 s: option_t.catch._match_1 0.000193 s: option_t.catch 0.000298 s: option_t.catch.equations._eqn_1 0.001677 s: lie_algebra.derived_series_of_ideal_mono 0.002668 s: category_theory.braided_functor.cases_on 0.001549 s: category_theory.braided_functor.no_confusion_type 0.002233 s: category_theory.braided_functor.no_confusion 0.003811 s: category_theory.braided_functor.mk.inj 0.005723 s: category_theory.braided_functor.mk.inj_eq 0.000098 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_12 0.000249 s: vector.perm.is_setoid 0.000371 s: vector.perm.is_setoid.equations._eqn_1 0.010518 s: filter.map_coe_Iio_at_bot 0.000216 s: has_bracket.cases_on 0.000206 s: has_bracket.no_confusion_type 0.000438 s: has_bracket.no_confusion 0.000280 s: has_bracket.mk.inj 0.000201 s: has_bracket.mk.inj_arrow 0.029320 s: module.flat.rec_on 0.071503 s: has_mfderiv_at.has_mfderiv_within_at 0.046518 s: mdifferentiable.mfderiv_within 0.041958 s: mdifferentiable_at_id 0.072003 s: mfderiv_within_id 0.000570 s: mul_hom.to_fun_eq_coe 0.000787 s: list.mmap_upper_triangle._main.equations._eqn_1 0.000152 s: intermediate_field.insert.cases_on 0.012061 s: bounded_continuous_function.has_scalar.equations._eqn_1 0.005682 s: list.to_finset_card_of_nodup 0.000847 s: monotone.is_lub_image_le 0.000490 s: category_theory.limits.limit_cone.cases_on 0.000407 s: category_theory.limits.limit_cone.no_confusion_type 0.000822 s: category_theory.limits.limit_cone.no_confusion 0.000638 s: category_theory.limits.limit_cone.mk.inj 0.000462 s: category_theory.limits.limit_cone.mk.inj_arrow 0.000629 s: category_theory.split_epi.sizeof 0.001109 s: category_theory.split_epi.mk.sizeof_spec 0.000111 s: _private.2381955161.fib_aux_stream 0.000027 s: nat.fib 0.009650 s: linear_recurrence.to_init._proof_2 0.001882 s: mk_sol._main._pack._wf_rec_mk_dec_tactic._aux_1 0.032815 s: linear_recurrence.mk_sol._main._pack 0.000100 s: linear_recurrence.mk_sol._main 0.000069 s: linear_recurrence.mk_sol 0.032156 s: linear_recurrence.mk_sol._main._pack.equations._eqn_1 0.004882 s: linear_recurrence.mk_sol._main.equations._eqn_1 0.001502 s: linear_recurrence.mk_sol.equations._eqn_1 0.013578 s: linear_recurrence.is_sol_mk_sol 0.039150 s: linear_recurrence.eq_mk_of_is_sol_of_eq_init 0.012188 s: linear_recurrence.to_init._proof_3 0.002345 s: linear_recurrence.mk_sol_eq_init 0.003616 s: linear_recurrence.to_init._proof_4 0.002822 s: linear_recurrence.to_init 0.001634 s: linear_equiv.coe_to_equiv 0.004939 s: linear_recurrence.sol_eq_of_eq_init 0.000085 s: nat.fib.equations._eqn_1 0.000317 s: stream.map.equations._eqn_1 0.002565 s: stream.map_iterate 0.000118 s: stream.nth_map 0.000737 s: _private.2809628893.fib_aux_stream_succ 0.000074 s: _private.138443017.fib_aux_step.equations._eqn_1 0.001338 s: nat.fib_succ_succ 0.017182 s: fib_is_sol_fib_rec 0.036057 s: geom_gold_is_sol_fib_rec 0.000106 s: nat.fib_zero 0.005249 s: tactic.ring_exp.simple_pf_prod_one 0.001551 s: tactic.ring_exp.simple_pf_exp_one 0.000124 s: nat.fib_one 0.262231 s: real.coe_fib_eq' 0.000450 s: ring_hom.has_coe_to_fun.equations._eqn_1 0.024624 s: normalization_monoid_of_monoid_hom_right_inverse.equations._eqn_1 0.000253 s: turing.TM2.reaches 0.000448 s: turing.TM2.reaches.equations._eqn_1 0.000132 s: std_gen.has_repr._match_1 0.000023 s: std_gen.has_repr 0.000040 s: std_gen.has_repr.equations._eqn_1 0.002293 s: finsupp.comap_has_scalar.equations._eqn_1 0.001102 s: fintype.exists_le_card_fiber_of_mul_le_card 0.001524 s: filter.tendsto_Icc_at_top_at_top.equations._eqn_1 0.000419 s: computation.terminates_bind.equations._eqn_1 0.000225 s: ideal.is_local.rec_on 0.000288 s: category_theory.limits.has_finite_wide_pushouts 0.000107 s: category_theory.limits.has_finite_wide_pushouts.rec_on 0.029548 s: inv_mul_le_iff 0.379523 s: metric.uniformity_basis_dist_le_pow 0.000890 s: metric.nhds_basis_closed_ball_pow 0.115683 s: real.dist_le_of_mem_interval 0.015434 s: real.dist_le_of_mem_Icc 0.064083 s: real.dist_le_of_mem_Icc_01 0.000343 s: set.indicator_nonneg 0.325882 s: urysohns.CU.approx_nonneg 0.027284 s: urysohns.CU.approx_le_lim 0.000363 s: urysohns.CU.lim_nonneg 0.000605 s: urysohns.CU.lim_mem_Icc 0.000889 s: urysohns.CU.approx._main.equations._eqn_1 0.000381 s: urysohns.CU.approx.equations._eqn_1 0.000331 s: urysohns.CU.right_U 0.109286 s: line_map_le_right_iff_le 0.162966 s: right_le_line_map_iff_le 0.514404 s: right_le_midpoint 0.068495 s: linear_ordered_semiring.to_ordered_semimodule 0.000866 s: urysohns.CU.left_U_subset_right_C 0.000381 s: urysohns.CU.left_U_subset 0.101363 s: line_map_mono_left 0.067627 s: line_map_mono_endpoints 0.009359 s: inv_of_le_one 0.157318 s: midpoint_le_midpoint 0.000435 s: urysohns.CU.subset_right_C 0.018477 s: midpoint_self 0.192411 s: urysohns.CU.approx_of_mem_C 0.198248 s: urysohns.CU.approx_of_nmem_U 0.018815 s: urysohns.CU.approx_le_approx_of_U_sub_C 0.619373 s: urysohns.CU.approx_mem_Icc_right_left 1.431171 s: urysohns.CU.approx_le_succ 0.010368 s: urysohns.CU.approx_mono 0.014075 s: urysohns.CU.tendsto_approx_at_top 0.003979 s: filter.tendsto.vadd 0.001826 s: filter.tendsto.vsub 0.014367 s: filter.tendsto.line_map 0.003452 s: filter.tendsto.midpoint 0.001071 s: semi_normed_group.normed_add_torsor 0.253570 s: urysohns.CU.lim_eq_midpoint 0.000186 s: urysohns.CU.lim.equations._eqn_1 0.027710 s: urysohns.CU.lim_of_mem_C 0.000403 s: div_le_div_of_le_of_nonneg 0.080535 s: dist_midpoint_midpoint_le' 0.196789 s: dist_midpoint_midpoint_le 0.020176 s: urysohns.CU.lim_of_nmem_U 0.551124 s: urysohns.CU.continuous_lim 0.000029 s: turing.to_partrec.code.nil 0.000014 s: turing.to_partrec.code.zero 0.000037 s: turing.to_partrec.code.zero.equations._eqn_1 0.001204 s: turing.to_partrec.code.eval._main.equations._eqn_4 0.000191 s: turing.to_partrec.code.eval.equations._eqn_4 0.000163 s: turing.to_partrec.code.eval._main.equations._eqn_1 0.000046 s: turing.to_partrec.code.eval.equations._eqn_1 0.000249 s: roption.pure_eq_some 0.000026 s: turing.to_partrec.code.nil.equations._eqn_1 0.000505 s: turing.to_partrec.code.eval._main.equations._eqn_5 0.000132 s: turing.to_partrec.code.eval.equations._eqn_5 0.000164 s: turing.to_partrec.code.eval._main.equations._eqn_2 0.000053 s: turing.to_partrec.code.eval.equations._eqn_2 0.006190 s: turing.to_partrec.code.nil_eval 0.008476 s: turing.to_partrec.code.zero_eval 0.001169 s: pgame.inv_ty.cases_on 0.000351 s: pgame.inv_ty.no_confusion_type 0.001612 s: pgame.inv_ty.no_confusion 0.000309 s: pgame.inv_ty.left₂.inj 0.001121 s: pgame.inv_ty.left₂.inj_eq 0.000153 s: ordnode.node4_l._sunfold 0.000644 s: omega.int.neg_free._main.equations._eqn_5 0.000239 s: inducing.second_countable_topology 0.000310 s: homeomorph.second_countable_topology 0.000422 s: local_homeomorph.maps_to 0.001047 s: local_homeomorph.symm_maps_to 0.006353 s: local_homeomorph.to_homeomorph_source_target._proof_1 0.002875 s: local_homeomorph.to_homeomorph_source_target._proof_2 0.002950 s: local_homeomorph.to_homeomorph_source_target._proof_3 0.002745 s: local_homeomorph.to_homeomorph_source_target._proof_4 0.002674 s: local_homeomorph.to_homeomorph_source_target 0.000804 s: local_homeomorph.second_countable_topology_source 0.003462 s: linear_map.of_is_compl_zero 0.000102 s: pSet.below 0.000604 s: pSet.brec_on 0.000065 s: pSet.lift._match_1 0.000285 s: pSet.lift._main 0.000047 s: pSet.lift 0.000567 s: pSet.lift._main.equations._eqn_1 0.000092 s: pSet.lift.equations._eqn_1 0.081379 s: polynomial.splits_of_is_unit 0.066444 s: polynomial.degree_pow_le 0.079855 s: polynomial.nat_degree_comp_le 0.011915 s: polynomial.zero_comp 0.002154 s: polynomial.leading_coeff_hom._proof_1 0.001777 s: polynomial.leading_coeff_hom 0.011937 s: polynomial.leading_coeff_pow 0.015821 s: polynomial.nat_degree_pow 0.098595 s: polynomial.coeff_comp_degree_mul_degree 0.045665 s: polynomial.nat_degree_comp 0.040479 s: polynomial.comp_eq_zero_iff 0.061812 s: polynomial.splitting_field.lift._proof_1 0.062407 s: polynomial.splitting_field.lift._proof_2 0.066217 s: polynomial.splitting_field.lift._proof_3 0.061732 s: polynomial.splitting_field.lift._proof_4 0.068182 s: polynomial.splitting_field.lift._proof_5 0.073944 s: polynomial.splitting_field.lift 0.204943 s: polynomial.gal.mul_splits_in_splitting_field_of_mul 0.000664 s: polynomial.splits_of_nat_degree_le_one 0.262994 s: normal.of_alg_equiv 0.025235 s: alg_equiv.transfer_normal 0.042328 s: polynomial.is_splitting_field.alg_equiv._proof_1 0.085056 s: linear_map.findim_le_findim_of_injective 0.081513 s: polynomial.is_splitting_field.alg_equiv._proof_2 0.010463 s: polynomial.is_splitting_field.alg_equiv 0.000254 s: algebra.subalgebra.inhabited 0.016957 s: subalgebra.unique._proof_1 0.000292 s: subalgebra.unique 0.114625 s: minpoly.eq_X_sub_C' 0.123923 s: normal_self 0.135465 s: adjoin_root.power_basis 0.018522 s: intermediate_field.to_subalgebra_le_to_subalgebra 0.000141 s: ge_trans 0.007579 s: subalgebra.mem_res 0.002110 s: subalgebra.res_inj 0.001480 s: finset.image_to_finset 0.009721 s: algebra.adjoin_image 0.003469 s: is_scalar_tower.coe_to_alg_hom 0.016269 s: algebra.adjoin_res_eq_adjoin_res 0.000426 s: ring_hom.algebra_map_to_algebra 0.977701 s: normal.of_is_splitting_field 0.000370 s: polynomial.splitting_field.normal 0.436941 s: polynomial.gal.splits_in_splitting_field_of_comp 0.072627 s: polynomial.gal.restrict_comp._proof_1 0.000305 s: euclidean_domain.gcd_b.equations._eqn_1 0.014198 s: fderiv_within_sub_const 0.005560 s: deriv_within_sub_const 0.000108 s: interior_empty 0.000387 s: turing.TM2to1.st_act.sizeof 0.000111 s: turing.TM2to1.st_act.has_sizeof_inst 0.000135 s: mvpfunctor.const 0.000740 s: slim_check.injective_function 0.000274 s: slim_check.injective_function.cases_on 0.000281 s: slim_check.injective_function.apply._main 0.000041 s: slim_check.injective_function.apply 0.001156 s: slim_check.injective_function.apply._main.equations._eqn_1 0.000328 s: slim_check.injective_function.apply.equations._eqn_1 0.001061 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_2 0.000271 s: lower_bound_Ioc 0.000264 s: pgame.list_short_nth_le._proof_1 0.000211 s: pgame.list_short_nth_le 0.000883 s: pgame.short_of_lists._main 0.000575 s: pgame.short_of_lists._main.equations._eqn_1 0.002171 s: canonically_ordered_monoid.le 0.002466 s: canonically_ordered_monoid.lt 0.002077 s: canonically_ordered_monoid.le_refl 0.001985 s: canonically_ordered_monoid.le_trans 0.002050 s: canonically_ordered_monoid.lt_iff_le_not_le 0.002641 s: canonically_ordered_monoid.le_antisymm 0.001921 s: canonically_ordered_monoid.one 0.002059 s: canonically_ordered_monoid.one_mul 0.001958 s: canonically_ordered_monoid.mul_one 0.002060 s: canonically_ordered_monoid.npow 0.003898 s: canonically_ordered_monoid.npow_zero' 0.002861 s: canonically_ordered_monoid.npow_succ' 0.006261 s: canonically_ordered_monoid.lt_of_mul_lt_mul_left 0.000139 s: array.has_mem.equations._eqn_1 0.000665 s: prod.distrib_lattice._proof_10 0.090333 s: localization_map.integral_domain_of_local_at_prime._proof_1 0.070182 s: localization_map.integral_domain_of_local_at_prime 0.001701 s: is_dedekind_domain_dvr 0.000335 s: is_dedekind_domain_dvr.not_is_field 0.000114 s: zsqrtd.has_zero.equations._eqn_1 0.000281 s: order.cofinal.sizeof 0.013280 s: perfect_closure.comm_monoid.equations._eqn_1 0.000212 s: turing.list_blank.nth.equations._eqn_1 0.001578 s: lie_algebra.is_solvable 0.003132 s: lie_algebra.radical 0.001430 s: lie_algebra.is_semisimple 0.002111 s: lie_subalgebra.lie_ring_module._proof_1 0.001278 s: lie_subalgebra.lie_ring_module._proof_2 0.001311 s: lie_subalgebra.lie_ring_module._proof_3 0.006778 s: lie_subalgebra.lie_ring_module 0.001271 s: lie_algebra.is_semisimple.semisimple 0.025103 s: lie_algebra.is_semisimple_iff_no_solvable_ideals 0.007481 s: lie_submodule.bot_coe 0.003115 s: lie_subalgebra.coe_bracket 0.002145 s: lie_subalgebra.ext_iff 0.003266 s: lie_subalgebra.coe_zero_iff_zero 0.041815 s: lie_submodule.lie_abelian_iff_lie_self_eq_bot 0.017386 s: lie_algebra.abelian_iff_derived_one_eq_bot 0.009360 s: lie_hom.map_zero 0.002226 s: function.injective.is_lie_abelian 0.000298 s: lie_equiv.has_coe_to_lie_hom 0.002327 s: lie_equiv.injective 0.001742 s: lie_abelian_iff_equiv_lie_abelian 0.001918 s: lie_subalgebra.top_equiv_self._proof_1 0.001679 s: lie_subalgebra.top_equiv_self._proof_2 0.001544 s: lie_subalgebra.top_equiv_self._proof_3 0.004228 s: lie_subalgebra.top_equiv_self._proof_4 0.002601 s: lie_subalgebra.top_equiv_self._proof_5 0.007185 s: lie_subalgebra.top_equiv_self 0.006423 s: lie_ideal.top_equiv_self 0.020993 s: lie_algebra.of_abelian_is_solvable 0.000480 s: lie_algebra.derived_abelian_of_ideal._match_1 0.000213 s: lie_algebra.derived_abelian_of_ideal 0.003184 s: lie_algebra.is_solvable.dcases_on 0.017632 s: lie_ideal.map_eq_bot_iff 0.025330 s: lie_ideal.derived_series_eq_bot_iff 0.011895 s: lie_algebra.derived_length_zero 0.006425 s: lie_algebra.derived_series_of_ideal_add 0.014952 s: lie_algebra.abelian_iff_derived_succ_eq_bot 0.001623 s: nat.eq_Ici_of_nonempty_of_upward_closed 0.002971 s: nat.nonempty_of_pos_Inf 0.000390 s: nat.nonempty_of_Inf_eq_succ 0.003105 s: nat.Inf_upward_closed_eq_succ_iff 0.001083 s: lie_algebra.derived_series_of_ideal_antimono 0.021862 s: lie_algebra.derived_series_of_derived_length_succ 0.013764 s: lie_algebra.derived_series_of_bot_eq_bot 0.013986 s: lie_algebra.abelian_of_solvable_ideal_eq_bot_iff 0.035271 s: lie_algebra.is_lie_abelian_bot 0.023721 s: lie_algebra.abelian_derived_abelian_of_ideal 0.027612 s: lie_algebra.is_semisimple_iff_no_abelian_ideals 0.035554 s: lie_algebra.is_semisimple_of_is_simple 0.037789 s: lie_algebra.is_semisimple_of_is_simple.equations._eqn_1 0.001844 s: polynomial.continuous_aeval 0.004266 s: polynomial.continuous_at_aeval 0.000129 s: ordnode.split_at_aux._match_2 0.000385 s: ordnode.split_at_aux._match_1 0.000782 s: ordnode.split_at_aux._main 0.000033 s: ordnode.split_at_aux 0.000493 s: ordnode.split_at_aux._main.equations._eqn_1 0.000107 s: ordnode.split_at_aux.equations._eqn_1 0.003443 s: add_subgroup.is_open_of_mem_nhds 0.000785 s: open_add_subgroup.zero_mem 0.000899 s: open_add_subgroup.mem_nhds_zero 0.001659 s: add_subgroup.is_open_of_open_add_subgroup 0.001859 s: add_subgroup.is_open_mono 0.006201 s: linear_equiv.refl_trans 0.000381 s: normed_group.cases_on 0.000252 s: normed_group.no_confusion_type 0.000549 s: normed_group.no_confusion 0.001058 s: normed_group.mk.inj 0.000189 s: t1_space.cases_on 0.000317 s: fp.to_rat._match_1 0.000228 s: with_bot.order_top._proof_2 0.000121 s: tactic.rewrite_cfg 0.000028 s: tactic.rewrite_cfg.symm 0.003019 s: alternating_map.map_sub 0.001474 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso.equations._eqn_1 0.000064 s: conditionally_complete_lattice.copy._proof_1 0.000476 s: list.length_attach 0.003835 s: list.nth_le_attach 0.000823 s: list.nth_le_range 0.004575 s: list.of_fn_eq_pmap 0.000204 s: list.of_fn_id 0.001414 s: list.map_of_fn 0.000411 s: list.of_fn_eq_map 0.000591 s: list.index_of_nil 0.000285 s: list.index_of_of_not_mem 0.000468 s: list.index_of_cons_eq 0.000175 s: list.index_of_cons_self 0.000527 s: list.index_of_cons_ne 0.005673 s: list.nodup.map_update 0.000329 s: list.update_nth._main.equations._eqn_1 0.000139 s: list.update_nth.equations._eqn_1 0.018947 s: list.prod_update_nth 0.008445 s: multilinear_map.mk_pi_algebra_fin._proof_1 0.004569 s: multilinear_map.mk_pi_algebra_fin._proof_2 0.001979 s: multilinear_map.mk_pi_algebra_fin 0.001733 s: multilinear_map.mk_pi_algebra_fin_apply 0.000534 s: list.of_fn_zero 0.000157 s: fin.univ_def 0.001382 s: fin.prod_univ_def 0.000600 s: fin.prod_of_fn 0.092217 s: continuous_multilinear_map.mk_pi_algebra_fin._proof_1 0.055348 s: continuous_multilinear_map.mk_pi_algebra_fin 0.013842 s: continuous_multilinear_map.mk_pi_algebra_fin_apply 0.141862 s: continuous_multilinear_map.ratio_le_op_norm 0.095873 s: continuous_multilinear_map.norm_mk_pi_algebra_fin_zero 0.020644 s: category_theory.limits.types.coproduct_colimit_cocone._proof_1 0.003666 s: typevec.const._main 0.000076 s: typevec.const 0.001866 s: typevec.pred_last' 0.002537 s: typevec.const._main.equations._eqn_2 0.001315 s: typevec.const.equations._eqn_2 0.003359 s: typevec.const_iff_true 0.005325 s: _private.1704610749.g._main 0.003549 s: _private.1704610749.g._main.equations._eqn_2 0.000261 s: is_submonoid.cases_on 0.000607 s: typevec.subtype_val_nil 0.000919 s: invertible_neg._proof_1 0.000769 s: invertible_neg._proof_2 0.000375 s: invertible_neg 0.000858 s: category_theory.functor_skeletal 0.000317 s: algebraic_geometry.PresheafedSpace.hom_inhabited 0.000341 s: algebraic_geometry.PresheafedSpace.hom_inhabited.equations._eqn_1 0.014584 s: inv_le_inv' 0.001051 s: category_theory.creates_limits_of_nat_iso.equations._eqn_1 0.012457 s: ideal.eq_jacobson_iff_Inf_maximal' 0.002266 s: ideal.is_jacobson_iff_Inf_maximal' 0.143217 s: fderiv_inner_clm 0.124581 s: fderiv_inner_clm_apply 0.226638 s: has_fderiv_within_at.inner 0.057922 s: has_deriv_within_at.has_fderiv_within_at 0.172791 s: has_deriv_within_at.inner 0.028109 s: has_deriv_at.inner 0.004641 s: function.support_supr 0.001889 s: function.support_infi 0.003070 s: bounded_continuous_function.has_scalar'._proof_1 0.003855 s: category_theory.is_equivalence.sizeof 0.000119 s: category_theory.is_equivalence.has_sizeof_inst 0.000986 s: category_theory.monadic_right_adjoint.sizeof 0.000096 s: category_theory.monadic_right_adjoint.has_sizeof_inst 0.000593 s: qpf.Wequiv.refl 0.001655 s: qpf.Wequiv.drec 0.001190 s: qpf.Wequiv.symm 0.000334 s: qpf.W_setoid._proof_1 0.000360 s: qpf.W_setoid 0.000053 s: qpf.fix 0.271398 s: has_fderiv_within_at.cos 0.284860 s: fderiv_within_cos 0.056269 s: is_basis.equiv_funL._proof_1 0.014562 s: is_basis.equiv_funL._proof_2 0.014833 s: is_basis.equiv_funL._proof_3 0.013684 s: is_basis.equiv_funL._proof_4 0.223052 s: is_basis.equiv_funL._proof_5 0.163589 s: is_basis.equiv_funL._proof_6 0.039838 s: is_basis.equiv_funL 0.079565 s: euclidean_geometry.orthocentric_system 0.011915 s: module.finite.drec 0.003079 s: is_ring_hom.drec 0.000117 s: tactic.ring_exp.coeff 0.000035 s: int.has_repr 0.000233 s: rat.repr._main 0.000018 s: rat.repr 0.000018 s: rat.has_repr 0.002380 s: tactic.ring_exp.coeff.value 0.000052 s: tactic.ring_exp.coeff_has_repr 0.001195 s: tactic.ring_exp.coeff_has_repr.equations._eqn_1 0.138602 s: category_theory.thin_skeleton.map₂_map 0.001207 s: category_theory.SheafOfTypes_to_presheaf.faithful 0.032813 s: pi.comm_monoid_with_zero._proof_6 0.048771 s: linear_pmap.semilattice_inf_bot._match_4.equations._eqn_1 0.013565 s: finset.prod_ite_of_false 0.000981 s: finset.prod_apply_ite_of_false 0.000607 s: floor_mono 0.017296 s: tendsto_floor_at_top 0.032223 s: tendsto_ceil_at_bot 0.042211 s: neg_convex_on_iff 0.001137 s: continuous_on.neg 0.006160 s: differentiable_on.neg 0.315807 s: concave_on_of_deriv_antimono 0.270568 s: convex.image_sub_le_mul_sub_of_deriv_le 0.244079 s: convex.antimono_of_deriv_nonpos 0.322592 s: concave_on_of_deriv2_nonpos 0.300709 s: concave_on_open_of_deriv2_nonpos 0.259744 s: concave_on_univ_of_deriv2_nonpos 0.000199 s: Well_order.sizeof 0.000935 s: Well_order.mk.sizeof_spec 0.000551 s: opposite.op_eq_iff_eq_unop 0.021793 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation._proof_2 0.003832 s: category_theory.preserves_limit_iso 0.000337 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation._proof_3 0.002834 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation._proof_4 0.002194 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation 0.003124 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation.equations._eqn_1 0.001108 s: category_theory.limits.eq_zero_of_image_eq_zero 0.001047 s: category_theory.limits.is_terminal_of_is_terminal_obj 0.033029 s: map_Sup_of_continuous_at_of_monotone' 0.012185 s: map_Sup_of_continuous_at_of_monotone 0.002085 s: map_supr_of_continuous_at_of_monotone 0.008225 s: _private.2907559739.normal_mul_aux._match_1 0.005319 s: _private.2907559739.normal_mul_aux._match_2 0.000365 s: tactic.itauto.and_kind.no_confusion 0.001047 s: tactic.itauto.and_kind.decidable_eq 0.004075 s: mv_polynomial.is_semiring_hom_sum_to_iter.equations._eqn_1 0.001381 s: smooth_manifold_with_corners.mk' 0.118468 s: clifford_algebra.involute._proof_1 0.084077 s: clifford_algebra.involute 0.088385 s: clifford_algebra.lift_symm_apply 0.122021 s: clifford_algebra.hom_ext 0.125428 s: clifford_algebra.ι_comp_lift 0.147478 s: clifford_algebra.lift_ι_apply 0.219311 s: clifford_algebra.induction 0.025809 s: opposite.coe_op_linear_equiv_symm_to_linear_map 0.179434 s: clifford_algebra.reverse.commutes 0.136374 s: clifford_algebra.involute_ι 0.139385 s: clifford_algebra.reverse_ι 0.142421 s: clifford_algebra.reverse.map_mul 0.125776 s: clifford_algebra.reverse_comp_involute 0.000293 s: category_theory.iso.to_eq 0.000415 s: category_theory.limits.has_binary_biproduct.has_limit_pair 0.000453 s: category_theory.limits.has_binary_biproduct.has_limit_pair.equations._eqn_1 0.026669 s: intermediate_field.le_iff_le 0.001517 s: is_galois.galois_coinsertion_intermediate_field_subgroup._proof_1 0.000584 s: generalized_continued_fraction.continuants_aux._main.equations._eqn_1 0.000318 s: generalized_continued_fraction.continuants_aux.equations._eqn_1 0.000228 s: generalized_continued_fraction.continuants_aux._main.equations._eqn_2 0.000195 s: generalized_continued_fraction.continuants_aux.equations._eqn_2 0.092314 s: generalized_continued_fraction.of_h_eq_int_fract_pair_seq1_fst_b 0.000625 s: generalized_continued_fraction.int_fract_pair.seq1_fst_eq_of 0.089893 s: generalized_continued_fraction.of_h_eq_floor 0.012639 s: generalized_continued_fraction.part_num_eq_s_a 0.144541 s: one_le_inv 0.012055 s: generalized_continued_fraction.int_fract_pair.nth_stream_fr_nonneg 0.002091 s: generalized_continued_fraction.int_fract_pair.nth_stream_fr_lt_one 0.044507 s: generalized_continued_fraction.int_fract_pair.one_le_succ_nth_stream_b 0.151412 s: generalized_continued_fraction.of_one_le_nth_part_denom 0.410781 s: generalized_continued_fraction.fib_le_of_continuants_aux_b 0.040200 s: generalized_continued_fraction.succ_nth_fib_le_of_nth_denom 0.005210 s: complete_space.prod._match_2.equations._eqn_1 0.000527 s: zsqrtd.linear_ordered_comm_ring._proof_21 0.100114 s: real.has_strict_deriv_at_cosh 0.000246 s: pi.semilattice_sup_bot._proof_1 0.000675 s: set.nonempty_insert 0.000292 s: tsum_congr 0.000787 s: tsum_ite_eq 0.041604 s: tsum_ite_eq_extract 0.004148 s: set.Ioo_union_left 0.000156 s: euclidean_domain.has_mod.equations._eqn_1 0.000103 s: slim_check.slim_check_cfg.cases_on 0.000176 s: slim_check.slim_check_cfg.no_confusion_type 0.000461 s: slim_check.slim_check_cfg.no_confusion 0.002420 s: slim_check.slim_check_cfg.mk.inj 0.001566 s: slim_check.slim_check_cfg.mk.inj_eq 0.002347 s: Class.iota_val 0.078066 s: mv_polynomial.eval₂_hom_C_left 0.009977 s: mv_polynomial.bind₁_X_left 0.072389 s: mv_polynomial.expand_one_apply 0.011005 s: mv_polynomial.expand_one 0.000795 s: con.lift_on₂.equations._eqn_1 0.007888 s: submonoid.topological_closure_has_continuous_mul.equations._eqn_1 0.040522 s: implicit_function_data.map_nhds_eq 0.004542 s: is_CHSH_tuple.sizeof 0.000129 s: is_CHSH_tuple.has_sizeof_inst 0.000132 s: fp.div_nat_lt_two_pow._main 0.000679 s: fp.div_nat_lt_two_pow._main.equations._eqn_1 0.000441 s: is_solvable_of_top_eq_bot 0.002700 s: is_solvable_of_subsingleton 0.002459 s: is_solvable_of_subsingleton.equations._eqn_1 0.000122 s: iff.dcases_on 0.000536 s: vector.scanl.equations._eqn_1 0.000203 s: has_measurable_sub₂.cases_on 0.000224 s: mvqpf.sigma.mvfunctor 0.000425 s: mvqpf.sigma.mvfunctor._match_1.equations._eqn_1 0.006806 s: mvqpf.sigma.mvqpf._proof_2 0.000776 s: int.even_sub' 0.000063 s: int.odd.sub_odd 0.007324 s: typevec.to_subtype'.equations._eqn_2 0.000281 s: znum.cmp._main.equations._eqn_9 0.045822 s: nat.exists_lt_and_lt_iff_not_dvd 0.000053 s: stream.cycle._main._proof_1 0.012184 s: pi_tensor_product.reindex._proof_1 0.004591 s: pi_tensor_product.reindex._proof_2 0.007083 s: pi_tensor_product.reindex._proof_3 0.003870 s: pi_tensor_product.reindex._proof_4 0.007571 s: pi_tensor_product.reindex._proof_5 0.006628 s: pi_tensor_product.reindex._proof_6 0.010000 s: pi_tensor_product.reindex._proof_8 0.006403 s: pi_tensor_product.reindex._proof_9 0.007477 s: pi_tensor_product.reindex._proof_10 0.114618 s: pi_tensor_product.reindex._proof_11 0.047045 s: pi_tensor_product.reindex 0.058294 s: pi_tensor_product.reindex_symm 0.006571 s: smooth_map 0.000666 s: multiset.distrib_lattice._proof_5 0.003760 s: category_theory.center.tensor_obj_snd_β 0.000184 s: lists.induction_mut._match_1.equations._eqn_1 0.000395 s: is_right_cancel 0.000246 s: is_right_cancel.drec 0.008203 s: subgroup.prod_mono 0.000466 s: is_totally_separated_empty 0.000581 s: has_sum_mono 0.000414 s: measure_theory.measure.is_complete.rec_on 0.000345 s: linear_map.fun_left._proof_1 0.001157 s: linear_map.fun_left._proof_2 0.005602 s: linear_map.fun_left 0.000989 s: opposite.semiconj_by.op 0.000212 s: opposite.commute.op 0.000411 s: nat.sub_add_sub_cancel 0.000213 s: commute.pow_pow_self 0.000128 s: pow_mul_comm 0.017014 s: op_geom_sum₂ 0.029316 s: commute.mul_neg_geom_sum₂ 0.005760 s: commute.mul_geom_sum₂ 0.014226 s: commute.mul_geom_sum₂_Ico 0.021398 s: commute.geom_sum₂_Ico_mul 0.017344 s: commute.geom_sum₂_Ico 0.005228 s: finset.sum_attach_univ 0.001628 s: fin.pred_above_last 0.002001 s: fin.pred_above_last_apply 0.000335 s: pgame.inv_ty.below 0.002032 s: pgame.inv_ty.brec_on 0.000065 s: pgame.has_sub 0.000935 s: pgame.mul 0.000083 s: pgame.has_mul 0.000101 s: pgame.has_one 0.002134 s: pgame.inv_val._main 0.000079 s: pgame.inv_val 0.000437 s: add_monoid_hom.to_real_linear_map._proof_1 0.000781 s: dense_range.equalizer 0.133882 s: uniform_embedding_of_rat 0.390118 s: exists_rat_near 0.001171 s: metric.mem_ball' 1.503119 s: dense_embedding_of_rat 0.007297 s: add_monoid_hom.map_int_cast_smul 0.001651 s: add_monoid_hom.map_nat_cast_smul 0.066713 s: add_monoid_hom.map_rat_cast_smul 0.102008 s: add_monoid_hom.map_real_smul 0.129456 s: add_monoid_hom.to_real_linear_map 0.082949 s: affine_map.line_map_vadd_line_map 0.009769 s: midpoint_vadd_midpoint 0.006939 s: midpoint_add_self 0.001508 s: midpoint_zero_add 0.004132 s: add_monoid_hom.of_map_midpoint._proof_1 0.002806 s: add_monoid_hom.of_map_midpoint 0.002894 s: affine_equiv.point_reflection_self 0.001497 s: affine_equiv.point_reflection_fixed_iff_of_module 0.002734 s: isometric.point_reflection_fixed_iff 0.001199 s: isometric.symm_apply_eq 0.001372 s: equiv.point_reflection_self 0.002523 s: isometric.point_reflection_self 0.003683 s: isometric.point_reflection_symm 0.001416 s: isometric.eq_symm_apply 0.001777 s: isometric.trans_apply 0.000519 s: isometric.dist_eq 0.000755 s: isometric.dist_point_reflection_fixed 0.001455 s: isometric.apply_symm_apply 0.003136 s: isometric.point_reflection_apply 0.002964 s: isometric.dist_point_reflection_self' 0.001046 s: two_smul' 0.006786 s: isometric.dist_point_reflection_self 0.008148 s: isometric.dist_point_reflection_self_real 0.206004 s: isometric.point_reflection_midpoint_left 0.027685 s: affine_equiv.point_reflection_midpoint_right 0.208798 s: isometric.point_reflection_midpoint_right 0.407667 s: isometric.midpoint_fixed 0.277505 s: isometric.map_midpoint 0.000245 s: normed_group.normed_add_torsor._proof_1 0.001973 s: normed_group.normed_add_torsor 0.434807 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_6 0.033617 s: sum.naturality 0.009917 s: category_theory.limits.is_limit_map_cone_fan_mk_equiv.equations._eqn_1 0.003168 s: is_closed_imp 0.000034 s: strict_weak_order.equiv 0.000096 s: strict_weak_order.not_lt_of_equiv 0.000411 s: omega.nat.push_neg._main.equations._eqn_1 0.000930 s: tactic_doc._2463287950 0.000123 s: ess_inf 0.000224 s: ess_inf.equations._eqn_1 0.001747 s: fin_enum.pi._main 0.000165 s: fin_enum.pi 0.000140 s: fin_enum.dec_eq 0.000504 s: fin_enum.pi.enum 0.000741 s: fin_enum.pi.enum.equations._eqn_1 0.000908 s: fin_enum.pi._main.equations._eqn_1 0.000508 s: fin_enum.pi.equations._eqn_1 0.002896 s: fin_enum.pi._main.equations._eqn_2 0.000516 s: fin_enum.pi.equations._eqn_2 0.000230 s: fin_enum.pi.cons._main._proof_1 0.000701 s: fin_enum.pi.cons._main.equations._eqn_1 0.000348 s: fin_enum.pi.cons.equations._eqn_1 0.008893 s: fin_enum.mem_pi 0.001699 s: fin_enum.pi.mem_enum 0.000169 s: fin_enum.pi.fin_enum._proof_1 0.000246 s: equiv.unique_congr._proof_1 0.000105 s: equiv.unique_congr._proof_2 0.000206 s: equiv.unique_congr 0.000305 s: equiv_functor_unique._proof_2 0.000846 s: add_monoid_algebra.lift._proof_8 0.000286 s: topological_fiber_bundle_core.total_space.equations._eqn_1 0.000865 s: category_theory.Monad.Monad_to_Mon_obj 0.000241 s: turing.tape.mk'_left 0.004330 s: category_theory.category_of_elements.to_comma_map_right 0.000956 s: pgame.le_iff_sub_nonneg 0.004586 s: category_theory.limits.cocone_morphism.mk.sizeof_spec 0.002513 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_1 0.028630 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_2 0.000592 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_3 0.000337 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_5 0.015840 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_6 0.047411 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_7 0.058117 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_8 0.127009 s: category_theory.category_of_elements.structured_arrow_equivalence._proof_9 0.038317 s: category_theory.category_of_elements.structured_arrow_equivalence 0.007768 s: category_theory.category_of_elements.structured_arrow_equivalence_counit_iso_hom_app_left_down 0.001899 s: equiv.prod_sum_distrib_apply_left 0.000199 s: set.eq_on.equations._eqn_1 0.003357 s: set.eq_on_piecewise 0.001911 s: set.eq_on.piecewise_ite' 0.000576 s: set.eq_on.piecewise_ite 0.001029 s: category_theory.cocone_of_representable_X 0.004606 s: submonoid.localization_map.of_mul_equiv_of_localizations._match_1.equations._eqn_1 0.000302 s: has_andthen.mk.inj 0.000139 s: has_andthen.mk.inj_arrow 0.003840 s: neg_one_gsmul 0.000624 s: list.mmap'_diag._main 0.000947 s: list.mmap'_diag._main.equations._eqn_2 0.025798 s: category_theory.limits.prod.functor_left_comp._proof_1 0.000035 s: expr.address 0.008011 s: expr.coord.repr._main 0.000019 s: expr.coord.repr 0.000112 s: expr.address.to_string 0.000821 s: turing.TM1.step._main.equations._eqn_1 0.003383 s: set.mul_action_set._proof_1 0.002133 s: set.mul_action_set._proof_2 0.000422 s: set.mul_action_set 0.010241 s: euclidean_domain.rec_on 0.000068 s: subsemiring.has_sizeof_inst 0.000889 s: uniform_space.completion.extension₂.equations._eqn_1 0.021953 s: pmf.coe_le_one 0.000327 s: pmf.has_sum_coe_one 0.000274 s: pmf.summable_coe 0.014541 s: pmf.bind.summable 0.000522 s: pmf.tsum_coe 0.006224 s: pmf.bind._proof_1 0.000376 s: pmf.bind 0.000115 s: pmf.seq 0.001530 s: encodable.fin_pi.equations._eqn_1 0.046672 s: continuous_linear_map.mfderiv_eq 0.017547 s: mv_power_series.constant_coeff.equations._eqn_1 0.003706 s: language.le_iff 0.110312 s: finite_dimensional.linear_equiv.quot_equiv_of_equiv._proof_1 0.017085 s: filter.mul_le_mul 0.000044 s: ordnode.erase_min 0.000131 s: ordnode.erase_min.equations._eqn_3 0.000084 s: pnat.xgcd_type.rec_on 0.017964 s: continuous_multilinear_map.to_multilinear_map_linear_apply 0.001371 s: subfield.mem_to_submonoid 0.002626 s: ring_hom.is_integral_sub 0.012415 s: is_integral_sub 0.006615 s: category_theory.monad.free._proof_1 0.002668 s: category_theory.monad.free._proof_2 0.005430 s: category_theory.monad.free._proof_3 0.003668 s: category_theory.monad.free._proof_4 0.004611 s: category_theory.monad.free._proof_5 0.002657 s: category_theory.monad.free._proof_6 0.001514 s: category_theory.monad.free._proof_7 0.033119 s: category_theory.monad.free._proof_8 0.055986 s: category_theory.monad.free._proof_9 0.019623 s: category_theory.monad.free 0.000335 s: Compactum.free 0.000210 s: Compactum.free.equations._eqn_1 0.000287 s: mem_conjugates_of_self 0.000727 s: pos_num.pred'._main.equations._eqn_3 0.000203 s: cluster_pt.ne_bot 0.000312 s: list.chain.iff 0.000377 s: inv_mul_cancel_of_invertible 0.002959 s: invertible_inv._proof_2 0.003109 s: finset.update_piecewise 0.000619 s: finset.piecewise_congr 0.001079 s: finset.update_piecewise_of_not_mem 0.002193 s: lie_module.is_nilpotent 0.001732 s: lie_module.sizeof 0.003803 s: lie_module.mk.sizeof_spec 0.000090 s: list.decidable_prefix._main._proof_2 0.000237 s: omega_complete_partial_order.preorder_hom.to_fun_hom._proof_1 0.001075 s: omega_complete_partial_order.preorder_hom.to_fun_hom 0.000366 s: omega_complete_partial_order.preorder_hom.monotone_apply._proof_1 0.000533 s: omega_complete_partial_order.preorder_hom.monotone_apply 0.000605 s: omega_complete_partial_order.ωSup_le_ωSup_of_le 0.002447 s: omega_complete_partial_order.chain.map_le_map 0.001035 s: omega_complete_partial_order.preorder_hom.ωSup._proof_1 0.000356 s: omega_complete_partial_order.preorder_hom.ωSup 0.013329 s: omega_complete_partial_order.preorder_hom.omega_complete_partial_order._proof_1 0.015279 s: omega_complete_partial_order.preorder_hom.omega_complete_partial_order._proof_2 0.014207 s: omega_complete_partial_order.preorder_hom.omega_complete_partial_order 0.007498 s: omega_complete_partial_order.preorder_hom.omega_complete_partial_order_ωSup_to_fun 0.001361 s: omega_complete_partial_order.continuous_hom.to_mono_to_fun 0.000835 s: omega_complete_partial_order.preorder_hom.monotone_apply_to_fun 0.000898 s: omega_complete_partial_order.continuous_hom.coe_apply 0.004519 s: omega_complete_partial_order.continuous_hom.forall_forall_merge 0.001510 s: omega_complete_partial_order.continuous_hom.forall_forall_merge' 0.019432 s: omega_complete_partial_order.continuous_hom.ωSup._proof_1 0.008159 s: omega_complete_partial_order.continuous_hom.ωSup 0.010467 s: omega_complete_partial_order.continuous_hom.ωSup_to_fun 0.175738 s: is_precomplete 0.121016 s: ideal.one_eq_top 0.016085 s: submodule.smul_le_right 0.017199 s: submodule.top_smul 0.002530 s: smodeq.top 0.005370 s: smodeq.bot 0.000238 s: smodeq.refl 0.055661 s: is_precomplete.bot 0.063815 s: is_precomplete.bot.equations._eqn_1 0.000104 s: filter.pcomap' 0.006972 s: relation.trans_gen_iff 0.046814 s: dfinsupp.map_range.linear_equiv.equations._eqn_1 0.000570 s: homeomorph.to_continuous_map 0.000407 s: homeomorph.to_continuous_map.equations._eqn_1 0.000056 s: turing.reaches₀ 0.000330 s: turing.reaches₀.tail' 0.000355 s: Algebra.cases_on 0.000625 s: Algebra.no_confusion_type 0.000517 s: Algebra.no_confusion 0.016592 s: ring_equiv.to_CommRing_iso_inv 0.000078 s: ordnode.has_emptyc 0.002233 s: mdifferentiable_at.continuous_at 0.001117 s: mdifferentiable.continuous 0.000186 s: tactic.eliminate.generalization_mode 0.000080 s: tactic.eliminate.generalization_mode.cases_on 0.000282 s: category_theory.zero_mul._proof_3 0.000120 s: category_theory.zero_mul._proof_1 0.003459 s: category_theory.curry_eq_iff 0.002313 s: category_theory.eq_curry_iff 0.001942 s: category_theory.zero_mul._proof_4 0.000503 s: category_theory.zero_mul._proof_5 0.000741 s: category_theory.zero_mul 0.001127 s: category_theory.zero_mul_hom 0.000107 s: string.iterator.to_string._sunfold 0.000832 s: lists'.mem_equiv_left 0.000293 s: category_theory.Mat_.no_confusion_type 0.000894 s: category_theory.Mat_.no_confusion 0.000809 s: category_theory.Mat_.mk.inj 0.002574 s: category_theory.Mat_.mk.inj_eq 0.000125 s: onote.NF_one.equations._eqn_1 0.001611 s: polynomial.next_coeff_C_eq_zero 0.003293 s: polynomial.reflect_monomial 0.017278 s: polynomial.rev_at_add 0.009609 s: polynomial.reflect_zero 0.001410 s: polynomial.reflect_add 0.000768 s: polynomial.erase_lead_support_card_lt 0.000768 s: polynomial.card_support_C_mul_X_pow_le_one 0.027628 s: polynomial.reflect_mul_induction 0.000416 s: polynomial.reflect_mul 0.009421 s: polynomial.reverse_mul 0.001757 s: multiset.nat.antidiagonal_zero 0.020605 s: polynomial.monic.next_coeff_mul 0.036903 s: polynomial.monic.next_coeff_prod 0.007978 s: tendsto_uniformly_on.comp 0.000107 s: string.has_lt'.equations._eqn_1 0.000067 s: bitvec.not 0.000098 s: bitvec.of_int._main 0.014131 s: ennreal.to_nnreal_prod 0.000051 s: category_theory.limits.walking_parallel_pair.zero.inj 0.000034 s: category_theory.limits.walking_parallel_pair.zero.inj_arrow 0.002549 s: mem_nhds_subtype 0.000283 s: prod.comm_monoid_with_zero._proof_1 0.007124 s: category_theory.limits.cone.unop_ι_app 0.003658 s: category_theory.regular_mono.cases_on 0.000940 s: category_theory.regular_mono.no_confusion_type 0.001498 s: category_theory.regular_mono.no_confusion 0.000135 s: vector.equations._eqn_1 0.000177 s: vector.decidable_eq._proof_1 0.000408 s: vector.decidable_eq 0.000251 s: vector.decidable_eq.equations._eqn_1 0.000129 s: con.has_coe_to_fun.equations._eqn_1 0.000982 s: list.unzip_right 0.001055 s: list.zip_of_prod 0.000204 s: list.enum_eq_zip_range 0.000597 s: list.unzip_enum_eq_prod 0.003326 s: lucas_lehmer.X.add_snd 0.000208 s: turing.TM0to1.Λ'.inhabited 0.000389 s: turing.TM0to1.tr._match_1 0.001333 s: turing.TM0to1.tr._main 0.000224 s: turing.TM0to1.tr 0.000980 s: turing.TM0to1.tr._main.equations._eqn_1 0.000490 s: turing.TM0to1.tr.equations._eqn_1 0.002657 s: category_theory.cofinal.limit_cone_comp_is_limit 0.000413 s: monad_io_process.rec_on 0.001304 s: with_zero.mul_zero_one_class._match_2.equations._eqn_1 0.001197 s: category_theory.prod.fst._proof_1 0.000989 s: category_theory.prod.fst._proof_2 0.002009 s: category_theory.prod.fst 0.000596 s: category_theory.prod.fst_obj 0.014372 s: nat.triangle_succ 0.010726 s: nat.choose_two_right 0.000061 s: tactic.interactive.case_tag.match_result.cases_on 0.000058 s: tactic.interactive.case_tag.match_result.combine._main 0.000213 s: free_magma.rec_on' 0.002168 s: hahn_series.summable_family.has_add.equations._eqn_1 0.000649 s: has_exists_mul_of_le 0.000490 s: commute.mul_inv_cancel 0.000523 s: commute.mul_inv_cancel_assoc 0.001138 s: mul_inv_cancel_comm_assoc 0.010710 s: ordered_comm_group.has_exists_mul_of_le 0.010708 s: ordered_comm_group.has_exists_mul_of_le.equations._eqn_1 0.004919 s: linear_isometry_equiv.continuous_linear_equiv.has_coe_t.equations._eqn_1 0.000723 s: gt.is_trans.equations._eqn_1 0.000923 s: matrix.reindex_linear_equiv._proof_1 0.000801 s: matrix.reindex_linear_equiv._proof_2 0.000320 s: matrix.reindex_linear_equiv._proof_3 0.000248 s: matrix.reindex_linear_equiv._proof_4 0.012583 s: matrix.reindex_linear_equiv 0.002641 s: matrix.reindex_lie_equiv._proof_1 0.001532 s: matrix.reindex_lie_equiv._proof_2 0.001161 s: matrix.minor_sub 0.001718 s: matrix.minor_mul 0.001345 s: matrix.minor_mul_equiv 0.024226 s: matrix.reindex_lie_equiv._proof_3 0.002742 s: matrix.reindex_lie_equiv._proof_4 0.001639 s: matrix.reindex_lie_equiv._proof_5 0.194821 s: matrix.reindex_lie_equiv 0.097930 s: integral_domain.to_comm_cancel_monoid_with_zero.equations._eqn_1 0.000517 s: euclidean_geometry.angle_nonneg 0.000072 s: category_theory.limits.walking_pair.left.inj 0.000060 s: category_theory.limits.walking_pair.left.inj_arrow 0.000330 s: finmap.insert 0.000496 s: finmap.union.equations._eqn_1 0.011713 s: finmap.lift_on₂_to_finmap 0.007083 s: finmap.union_to_finmap 0.000411 s: finmap.insert.equations._eqn_1 0.000911 s: finmap.lift_on_to_finmap 0.001916 s: finmap.insert_to_finmap 0.004854 s: list.kunion_kerase 0.003120 s: alist.insert_union 0.002132 s: finmap.insert_union 0.013264 s: category_theory.equivalence.unit_inv_app_inverse 0.000510 s: joined_in 0.000909 s: joined_in.refl 0.000134 s: le_of_forall_le 0.001889 s: Inf_le_Inf_of_forall_exists_le 0.004987 s: preorder_hom.has_Inf._proof_1 0.000688 s: preorder_hom.has_Inf 0.026825 s: sesq_form.comp_comp 0.007088 s: alg_equiv.map_sum 0.001630 s: submodule.ne_bot_iff 0.000431 s: module.End.has_eigenvector 0.002726 s: module.algebra_map_End_apply 0.016667 s: module.End.eigenspace.equations._eqn_1 0.021580 s: module.End.mem_eigenspace_iff 0.231535 s: module.End.aeval_apply_of_has_eigenvector 0.239978 s: module.End.is_root_of_has_eigenvalue 0.020013 s: pmf.ext 0.004300 s: pmf.coe_bind_apply 0.004256 s: ennreal.tsum_mul_right 0.004129 s: pmf.bind_bind 0.001118 s: set.sUnion_singleton 0.002976 s: semilattice_inf_bot.rec_on 0.000349 s: ordinal.lift._match_4.equations._eqn_1 0.000257 s: buffer.decidable_eq._proof_3 0.003658 s: list.lex.decidable_rel._sunfold 0.000801 s: continuous_linear_map.flipₗᵢ._proof_15 0.004551 s: cancel_monoid_with_zero.mk.sizeof_spec 0.000806 s: domain.sub._default 0.000790 s: domain.sub._default.equations._eqn_1 0.000232 s: option.is_none._main.equations._eqn_2 0.000093 s: option.is_none.equations._eqn_2 0.000130 s: auto.case_option 0.000014 s: auto.case_option.at_most_one.inj 0.000080 s: has_emptyc.cases_on 0.075382 s: multilinear_map.curry_sum_equiv._proof_8 0.033285 s: linear_map.ker_le_iff 0.006751 s: measurable_from_prod_encodable 0.000530 s: measurable.pow_const 0.006456 s: has_measurable_mul.has_measurable_pow._proof_1 0.000233 s: has_measurable_mul.has_measurable_pow 0.006433 s: has_measurable_gpow._proof_1 0.000420 s: has_measurable_gpow 0.000354 s: has_measurable_gpow.equations._eqn_1 0.000799 s: filter.tendsto_at_top_of_monotone_of_filter 0.002153 s: filter.tendsto_at_bot_of_monotone_of_filter 0.000877 s: measurable_set_insert 0.004245 s: linear_pmap.mk_apply 0.005574 s: ulift.group._proof_5 0.001476 s: free_magma.lift_aux._main.equations._eqn_2 0.000518 s: pos_num.nat_size._main 0.000014 s: pos_num.nat_size 0.000040 s: num.nat_size._main 0.000012 s: num.nat_size 0.000118 s: num.nat_size._main.equations._eqn_1 0.000027 s: num.nat_size.equations._eqn_1 0.000263 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_8 0.001959 s: lie_subalgebra.complete_lattice._proof_13 0.000281 s: omega.int.preform.and.inj 0.000073 s: omega.int.preform.and.inj_arrow 0.000065 s: traversable.free.mk 0.000063 s: traversable.free.mk.equations._eqn_1 0.000528 s: list.mfoldl._main.equations._eqn_1 0.000159 s: list.mfoldl.equations._eqn_1 0.002303 s: traversable.fold_mfoldl_cons 0.000155 s: turing.to_partrec.code.fix.inj 0.000085 s: turing.to_partrec.code.fix.inj_eq 0.000737 s: set.Ico.semilattice_inf._proof_1 0.000358 s: set.Ico.semilattice_inf 0.000632 s: set.Ico.semilattice_inf_bot._proof_7 0.000126 s: strict_mono.equations._eqn_1 0.000125 s: opposite.comm_monoid._proof_1 0.000106 s: opposite.comm_monoid._proof_2 0.000076 s: opposite.comm_monoid._proof_3 0.000281 s: opposite.comm_monoid._proof_4 0.000213 s: opposite.comm_monoid._proof_5 0.000153 s: opposite.comm_monoid._proof_6 0.001479 s: opposite.comm_monoid 0.000349 s: has_exists_mul_of_le.drec 0.035704 s: Algebra.forget_reflects_isos 0.003804 s: group.in_closure.dcases_on 0.000506 s: nontrivial_psum_unique._proof_1 0.005992 s: matrix.unitary_group.group.equations._eqn_1 0.003257 s: category_theory.ulift_category._proof_1 0.003550 s: category_theory.ulift_category._proof_2 0.004864 s: category_theory.ulift_category._proof_3 0.001552 s: category_theory.ulift_category 0.001017 s: category_theory.ulift.down._proof_1 0.000980 s: category_theory.ulift.down._proof_2 0.001357 s: category_theory.ulift.down 0.001768 s: category_theory.ulift.up._proof_1 0.001378 s: category_theory.ulift.up._proof_2 0.001731 s: category_theory.ulift.up 0.008744 s: category_theory.ulift.equivalence._proof_3 0.000164 s: units.linear_order 0.000072 s: units.preorder 0.000936 s: units.coe_le_coe 0.023769 s: units.max_coe 0.006830 s: model_space_smooth.equations._eqn_1 0.008183 s: category_theory.functor.sum._proof_1 0.001351 s: category_theory.functor.sum._proof_2 0.001515 s: category_theory.functor.sum 0.003432 s: category_theory.nat_trans.sum._match_1 0.015415 s: category_theory.nat_trans.sum._match_2 0.000165 s: znum.zneg._main.equations._eqn_3 0.000055 s: right_coset_equivalence 0.000293 s: right_coset_equivalence_rel 0.000216 s: finset.cons.equations._eqn_1 0.006169 s: category_theory.Monad.of_Mon_η 0.059672 s: finite_dimensional_direction_affine_span_image_of_fintype 0.006649 s: order.ideal.is_prime.drec 0.000851 s: order.ideal.is_prime_iff 0.008354 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct 0.002335 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.cases_on 0.001772 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.no_confusion_type 0.002318 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.no_confusion 0.002390 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.mk.inj 0.002341 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.mk.inj_arrow 0.078509 s: simple_continued_fraction.of_is_continued_fraction 0.008308 s: sesq_form.comp_apply 0.000174 s: cancel_monoid_with_zero.npow._default 0.000237 s: cancel_monoid_with_zero.npow._default.equations._eqn_1 0.000574 s: nat.two_step_induction._main.equations._eqn_1 0.024846 s: localization_map.is_unit_comp 0.001381 s: commute.self_gpow 0.000837 s: of_add_add 0.000189 s: category_theory.is_left_adjoint.has_sizeof_inst 0.005865 s: category_theory.limits.pushout_cocone.is_colimit_aux'._proof_1 0.002251 s: category_theory.limits.pushout_cocone.is_colimit_aux'._proof_2 0.007239 s: category_theory.limits.pushout_cocone.is_colimit_aux'._proof_3 0.004996 s: category_theory.limits.pushout_cocone.is_colimit_aux' 0.001792 s: ennreal.ne_top_equiv_nnreal.equations._eqn_1 0.000044 s: smt_config.cc_cfg._default 0.000028 s: smt_config.cc_cfg._default.equations._eqn_1 0.000171 s: can_lift.cases_on 0.000168 s: can_lift.no_confusion_type 0.000300 s: can_lift.no_confusion 0.033290 s: int.gcd_monoid.equations._eqn_1 0.003928 s: intermediate_field.lifts.equations._eqn_1 0.000531 s: finsupp.sizeof 0.000222 s: finsupp.has_sizeof_inst 0.004895 s: contracting_with.tendsto_iterate_efixed_point' 0.003271 s: category_theory.functor.left_op.equations._eqn_1 0.000120 s: function.const.equations._eqn_1 0.001738 s: set.empty_disjoint 0.000715 s: set.indicator_zero 0.001203 s: set.apply_piecewise 0.000636 s: set.comp_indicator 0.080337 s: measure_theory.integrable.induction 0.009274 s: measure_theory.integral_univ 0.019091 s: measure_theory.integral_add_compl 0.088000 s: measure_theory.integral_indicator 0.013834 s: measure_theory.integral_indicator_const 0.149682 s: measure_theory.integrable.const_mul 0.166924 s: continuous_linear_map.integrable_comp 0.155790 s: continuous_linear_map.comp_Lp._proof_1 0.153521 s: continuous_linear_map.comp_Lp._proof_2 0.088818 s: continuous_linear_map.comp_Lp._proof_3 0.166445 s: continuous_linear_map.comp_Lp 0.177508 s: continuous_linear_map.coe_fn_comp_Lp 0.106337 s: continuous_linear_map.integral_comp_Lp 0.018700 s: measure_theory.L1.integral_eq_integral 0.098828 s: measure_theory.L1.integral.equations._eqn_1 0.106487 s: measure_theory.L1.continuous_integral 0.017646 s: measure_theory.continuous_integral 0.000107 s: continuous_linear_map.comp_LpL._proof_1 0.000117 s: continuous_linear_map.comp_LpL._proof_2 0.084590 s: continuous_linear_map.comp_LpL._proof_3 0.098770 s: continuous_linear_map.comp_LpL._proof_4 0.095606 s: continuous_linear_map.comp_LpL._proof_5 0.100076 s: continuous_linear_map.comp_LpL._proof_6 0.000203 s: continuous_linear_map.comp_Lpₗ._proof_1 0.000116 s: continuous_linear_map.comp_Lpₗ._proof_2 0.096266 s: continuous_linear_map.comp_Lpₗ._proof_3 0.104720 s: continuous_linear_map.comp_Lpₗ._proof_4 0.000193 s: continuous_linear_map.comp_Lpₗ._proof_5 0.000110 s: continuous_linear_map.comp_Lpₗ._proof_6 0.099242 s: continuous_linear_map.comp_Lpₗ._proof_7 0.113919 s: continuous_linear_map.comp_Lpₗ._proof_8 0.201229 s: continuous_linear_map.comp_Lpₗ._proof_9 0.238416 s: continuous_linear_map.comp_Lpₗ._proof_10 0.134343 s: continuous_linear_map.comp_Lpₗ 0.025966 s: lipschitz_with.comp_Lp_zero 0.011454 s: lipschitz_with.norm_comp_Lp_le 0.147924 s: continuous_linear_map.norm_comp_Lp_le 0.224670 s: continuous_linear_map.comp_LpL 0.130385 s: continuous_linear_map.continuous_integral_comp_L1 0.109704 s: continuous_linear_map.integral_comp_comm 0.146015 s: continuous_linear_map.integral_comp_comm' 0.000503 s: turing.TM0.stmt.map._main.equations._eqn_2 0.000702 s: category_theory.cartesian_closed_of_equiv._proof_1 0.000423 s: category_theory.cartesian_closed_of_equiv._proof_2 0.000251 s: category_theory.cartesian_closed_of_equiv._proof_4 0.016552 s: category_theory.adjunction.has_limit_comp_equivalence 0.004296 s: category_theory.cartesian_closed_of_equiv._proof_5 0.000347 s: category_theory.cartesian_closed_of_equiv._proof_6 0.000343 s: category_theory.cartesian_closed_of_equiv._proof_7 0.047209 s: category_theory.cartesian_closed_of_equiv._proof_8 0.090838 s: category_theory.cartesian_closed_of_equiv 0.057301 s: has_ftaylor_series_up_to_on.drec 0.001332 s: CommGroup.one.unique._proof_1 0.000134 s: CommGroup.one.unique 0.000161 s: CommGroup.one.unique.equations._eqn_1 0.009747 s: finset.pi_singletons 0.013787 s: category_theory.sigma.nat_iso._proof_1 0.014516 s: category_theory.sigma.nat_iso._proof_2 0.003774 s: category_theory.sigma.nat_iso 0.016108 s: category_theory.sigma.map_id 0.016958 s: category_theory.sigma.map_id_inv_app 0.002905 s: filter.realizer.comap._proof_1 0.001495 s: filter.realizer.comap._proof_2 0.004527 s: filter.realizer.comap._match_4 0.001430 s: filter.realizer.comap._match_5 0.045934 s: filter.realizer.comap._proof_3 0.012393 s: filter.realizer.comap 0.007086 s: topological_space.open_nhds.map_id_obj 0.001901 s: topological_space.open_nhds.map_id_obj_unop 0.000030 s: xor 0.000054 s: xor.decidable._match_1 0.000053 s: xor.decidable._proof_1 0.000061 s: xor.decidable._proof_2 0.000079 s: xor.decidable._proof_3 0.000139 s: xor.decidable._match_3 0.000073 s: xor.decidable._match_4 0.000053 s: xor.decidable._proof_4 0.000252 s: xor.decidable 0.001411 s: bxor_coe_iff 0.000697 s: measure_theory.measure.with_density._proof_1 0.007084 s: measure_theory.measure.restrict_Union_apply 0.001328 s: measure_theory.measure.restrict_Union 0.001026 s: measure_theory.lintegral_Union 0.000399 s: measure_theory.measure.with_density._proof_2 0.000474 s: measure_theory.measure.with_density 0.000289 s: measure_theory.measure.with_density.equations._eqn_1 0.002367 s: smooth_within_at_iff 0.000228 s: galois_insertion.l_surjective 0.001103 s: ideal.gi_map_comap._proof_1 0.000889 s: ideal.gi_map_comap._proof_2 0.000504 s: ideal.gi_map_comap._proof_3 0.001670 s: ideal.gi_map_comap 0.000861 s: ideal.map_surjective_of_surjective 0.000287 s: set.inj_on.eq_iff 0.001988 s: strict_mono_incr_on_mul_self 0.055736 s: mul_self_inj 0.121975 s: abs_eq_iff_mul_self_eq 0.019802 s: int.nat_abs_eq_iff_mul_self_eq 0.001670 s: int.nat_abs_eq_iff_sq_eq 0.003073 s: magma.free_semigroup.lift_mul 0.003211 s: magma.free_semigroup.map_mul 0.000654 s: add_con.of_add_submonoid._proof_1 0.001190 s: add_con.of_add_submonoid 0.000115 s: hahn_series.inhabited 0.000142 s: dfinsupp.inhabited 0.000206 s: direct_sum.inhabited 0.002997 s: ring_hom.prod._proof_1 0.004120 s: ring_hom.prod._proof_2 0.004330 s: ring_hom.prod._proof_3 0.003673 s: ring_hom.prod._proof_4 0.029614 s: ring_hom.prod 0.004103 s: ring_hom.snd_comp_prod 0.000068 s: measure_theory.outer_measure.has_sizeof_inst 0.002587 s: measure_theory.measure.sizeof 0.002228 s: measure_theory.measure.mk.sizeof_spec 0.001253 s: list.erase._main.equations._eqn_2 0.000347 s: list.erase.equations._eqn_2 0.001133 s: category_theory.has_lifting_property 0.000232 s: category_theory.has_lifting_property.sq_has_lift 0.000205 s: category_theory.has_lifting_property' 0.106425 s: times_cont_diff_bump_of_inner.times_cont_diff_within_at 0.025816 s: pi.single_add 0.000074 s: function.injective2 0.000135 s: function.injective2.right 0.010128 s: strict_mono_incr_on.continuous_at_right_of_exists_between 0.005273 s: strict_mono_incr_on.continuous_at_right_of_surj_on 0.033618 s: strict_mono_incr_on.continuous_at_left_of_surj_on 0.007749 s: category_theory.limits.wide_pushout_shape.mk_cocone._match_1.equations._eqn_2 0.000147 s: parser.remaining 0.000273 s: parser.eof 0.000082 s: parser.remaining.equations._eqn_1 0.002844 s: parser.remaining_eq_done 0.000259 s: parser.static.remaining 0.008279 s: parser.guard_eq_done 0.000691 s: parser.static.guard 0.000648 s: parser.static.eof 0.000343 s: is_strict_total_order.drec 0.001530 s: subfield.rec_on 0.001086 s: is_compl.drec 0.004229 s: equiv.set.image_of_inj_on.equations._eqn_1 0.001710 s: surreal.ordered_add_comm_group._proof_3 0.000913 s: surreal.ordered_add_comm_group._proof_4 0.000567 s: surreal.ordered_add_comm_group._proof_5 0.001171 s: surreal.ordered_add_comm_group._proof_6 0.001363 s: surreal.ordered_add_comm_group._proof_7 0.000502 s: pgame.lt_iff_neg_gt 0.004705 s: pgame.numeric_neg 0.000972 s: surreal.neg._proof_1 0.000260 s: surreal.neg 0.000079 s: surreal.has_neg 0.002378 s: surreal.ordered_add_comm_group._proof_8 0.000697 s: surreal.ordered_add_comm_group._proof_9 0.000580 s: surreal.ordered_add_comm_group._proof_10 0.000975 s: surreal.ordered_add_comm_group._proof_11 0.000871 s: surreal.ordered_add_comm_group._proof_12 0.004283 s: surreal.ordered_add_comm_group._proof_13 0.009974 s: surreal.ordered_add_comm_group._proof_14 0.002829 s: surreal.ordered_add_comm_group._proof_15 0.000133 s: surreal.le._proof_1 0.000088 s: surreal.le 0.000051 s: surreal.has_le 0.002108 s: surreal.ordered_add_comm_group._proof_16 0.002297 s: surreal.ordered_add_comm_group._proof_17 0.000170 s: pgame.lt_iff_le_not_le 0.002518 s: surreal.ordered_add_comm_group._proof_18 0.008562 s: surreal.ordered_add_comm_group._proof_19 0.026799 s: surreal.ordered_add_comm_group._proof_20 0.012967 s: surreal.ordered_add_comm_group 0.005169 s: surreal.linear_ordered_add_comm_group._proof_1 0.001010 s: linear_order.decidable_eq._default 0.004746 s: surreal.linear_ordered_add_comm_group 0.000275 s: list.eq_repeat' 0.002157 s: multiset.eq_repeat' 0.000279 s: multiset.eq_repeat_of_mem 0.000926 s: lcm_units_coe_right 0.002144 s: lcm_one_right 0.006224 s: multiset.lcm_singleton 0.005246 s: nat.normalize_eq 0.000352 s: multiset.lcm.equations._eqn_1 0.000545 s: lcm_same 0.001440 s: multiset.lcm_add 0.001347 s: commute.order_of_mul_dvd_lcm 0.002396 s: equiv.perm.disjoint.mul_apply_eq_iff 0.001479 s: equiv.perm.disjoint.mul_eq_one_iff 0.000330 s: equiv.perm.disjoint.gpow_disjoint_gpow 0.001620 s: equiv.perm.disjoint.pow_disjoint_pow 0.000933 s: equiv.perm.disjoint.order_of 0.003721 s: equiv.perm.lcm_cycle_type 0.001962 s: equiv.perm.dvd_of_mem_cycle_type 0.000140 s: list.perm_nil 0.000498 s: multiset.coe_eq_zero 0.004755 s: equiv.perm.cycle_type_eq_zero 0.000927 s: equiv.perm.card_cycle_type_eq_zero 0.008483 s: equiv.perm.cycle_type_prime_order 0.004053 s: equiv.perm.card_cycle_type_eq_one 0.027072 s: equiv.perm.is_cycle_of_prime_order 0.002560 s: equiv.perm.is_cycle_of_prime_order' 0.022596 s: equiv.perm.is_cycle_of_prime_order'' 0.005915 s: is_semiring_hom.is_add_monoid_hom.equations._eqn_1 0.000029 s: snum.neg 0.000022 s: snum.has_neg 0.000084 s: snum.cadd 0.000017 s: snum.add 0.000019 s: snum.has_add 0.000059 s: snum.mul 0.000569 s: measure_theory.lintegral_rw₁ 0.098026 s: convex_on.comp_affine_map 0.108158 s: concave_on.comp_affine_map 0.015408 s: mv_polynomial.pempty_ring_equiv_symm_apply_to_fun 0.002500 s: map_nhds 0.000353 s: quotient_map.continuous 0.002209 s: vector.map₂._main 0.000078 s: vector.map₂ 0.000092 s: bitvec.and 0.000068 s: bitvec.and.equations._eqn_1 0.004623 s: quotient_add_group.add_comm_group.equations._eqn_1 0.000345 s: category_theory.limits.reflects_colimits.sizeof 0.000160 s: category_theory.limits.reflects_colimits.has_sizeof_inst 0.009475 s: category_theory.single_obj.groupoid.equations._eqn_1 0.000818 s: matrix.block_diagonal'._sunfold 0.000054 s: vm_obj_kind.other.sizeof_spec 0.001959 s: category_theory.discrete.opposite.equations._eqn_1 0.003660 s: finset.powerset_empty 0.004287 s: finset.sum_powerset_insert 0.001328 s: finset.piecewise_insert_self 0.016940 s: multilinear_map.map_piecewise_add 0.005481 s: multilinear_map.map_add_univ 0.003338 s: continuous_multilinear_map.map_add_univ 0.007270 s: derivation.derivation.Rsemimodule._proof_1 0.019457 s: derivation.derivation.Rsemimodule._proof_2 0.033044 s: derivation.derivation.Rsemimodule._proof_3 0.045852 s: derivation.derivation.Rsemimodule._proof_5 0.053049 s: derivation.derivation.Rsemimodule._proof_6 0.070173 s: derivation.derivation.Rsemimodule._proof_7 0.090055 s: derivation.derivation.Rsemimodule 0.086875 s: derivation.derivation.Rsemimodule.equations._eqn_1 0.016135 s: submodule.to_add_subgroup_injective 0.002276 s: category_theory.limits.limit.hom_iso 0.004809 s: category_theory.limits.is_limit.hom_iso_hom 0.004939 s: category_theory.limits.limit.hom_iso_hom 0.000110 s: turing.list_blank.inhabited 0.000070 s: turing.tape.inhabited 0.000126 s: turing.tape.inhabited.equations._eqn_1 0.000091 s: pnat.order_bot._proof_1 0.001691 s: pnat.order_bot 0.002527 s: pnat.bit0_le_bit1 0.080414 s: polynomial.splitting_field_aux.algebra'._proof_1 0.193579 s: polynomial.splitting_field_aux.algebra' 0.200650 s: polynomial.splitting_field_aux.algebra'.equations._eqn_1 0.018448 s: polynomial.trailing_degree_ne_of_nat_trailing_degree_ne 0.011083 s: complex.abs_cpow_real 0.001371 s: complex.abs_cpow_inv_nat 0.044142 s: real.pow_nat_rpow_nat_inv 0.011935 s: complex.of_real_mul_im 0.000214 s: complex.neg_pi_lt_log_im 0.082464 s: complex.cpow_nat_inv_pow 0.018484 s: complex.dist_eq 0.002678 s: metric.continuous_iff 0.004323 s: polynomial.mod_by_monic_one 0.007250 s: polynomial.div_by_monic_one 0.047519 s: polynomial.eval_div_by_monic_pow_root_multiplicity_ne_zero 0.010070 s: filter.has_basis_binfi_principal' 0.005071 s: filter.has_basis_cocompact 0.000566 s: is_compact.insert 0.014451 s: continuous.exists_forall_le 0.016814 s: polynomial.degree_pos_induction_on 0.000269 s: polynomial.leading_coeff_mul_X 0.049796 s: polynomial.tendsto_abv_eval₂_at_top 0.010945 s: polynomial.tendsto_abv_at_top 0.012495 s: polynomial.tendsto_norm_at_top 0.006456 s: tendsto_dist_right_cocompact_at_top 0.001638 s: tendsto_norm_cocompact_at_top 0.008088 s: polynomial.exists_forall_norm_le 0.483110 s: complex.exists_root 0.037509 s: complex.is_alg_closed 0.017854 s: local_homeomorph.subtype_restr_coe 0.000257 s: state_t.adapt._match_1 0.000276 s: state_t.adapt._match_2 0.000168 s: state_t.adapt 0.000272 s: state_t.adapt.equations._eqn_1 0.000165 s: d_array.foreach 0.000120 s: d_array.map 0.000115 s: array.map 0.000238 s: buffer.map._main 0.000036 s: buffer.map 0.000313 s: buffer.map._main.equations._eqn_1 0.000300 s: buffer.map.equations._eqn_1 0.000759 s: bounded_continuous_function.mk_of_compact_apply 0.001778 s: linear_pmap.no_confusion_type 0.003368 s: linear_pmap.no_confusion 0.003097 s: linear_pmap.mk.inj 0.001781 s: linear_pmap.mk.inj_arrow 0.000726 s: quaternion.coe_re 0.001600 s: quaternion.coe_im_i 0.000831 s: quaternion.coe_im_j 0.000925 s: quaternion.coe_im_k 0.003688 s: quaternion.smul_im_i 0.004198 s: quaternion.smul_im_j 0.002317 s: quaternion.smul_im_k 0.077469 s: quaternion.coe_real_complex_mul 0.019423 s: category_theory.abelian.pseudo_equal_refl 0.013806 s: category_theory.abelian.pseudo_equal_symm 0.002504 s: category_theory.abelian.pseudoelement.setoid._proof_1 0.000200 s: category_theory.abelian.pseudoelement.setoid 0.000076 s: category_theory.abelian.pseudoelement 0.000095 s: category_theory.abelian.pseudoelement.object_to_sort 0.000223 s: category_theory.over.coe_from_hom 0.001567 s: category_theory.abelian.app 0.015180 s: category_theory.abelian.pseudoelement.pseudo_apply_aux 0.000813 s: category_theory.abelian.pseudoelement.pseudo_apply 0.000247 s: category_theory.abelian.pseudoelement.hom_to_fun 0.002262 s: category_theory.abelian.pseudoelement.pseudo_apply_mk 0.000547 s: normed_group_hom.ext_iff 0.000575 s: list.disjoint_of_subset_left 0.043296 s: Top.presheaf.sheaf_condition_pairwise_intersections 0.046023 s: Top.presheaf.sheaf_condition_pairwise_intersections.equations._eqn_1 0.000311 s: add_monoid_hom.to_localization_map._proof_1 0.000220 s: add_monoid_hom.to_localization_map._proof_2 0.010984 s: add_monoid_hom.to_localization_map 0.001962 s: nat.gcd_self 0.000481 s: set.mem_smul_set 0.083300 s: convex.to_cone._proof_1 0.148590 s: convex.to_cone._proof_2 0.017870 s: convex.to_cone 0.001221 s: convex.to_cone.equations._eqn_1 0.002584 s: convex_cone.mem_mk 0.008945 s: convex.mem_to_cone 0.096131 s: convex.mem_to_cone' 0.107908 s: convex.subset_to_cone 0.000179 s: localization_map.away_map.inv_self._proof_1 0.017430 s: localization_map.away_map.inv_self 0.004953 s: localization_map.away_map.inv_self.equations._eqn_1 0.013098 s: continuous_multilinear_map.curry_sum_equiv._proof_5 0.000163 s: _private.3499264839.meas._main 0.000045 s: _private.3499264839.meas 0.004603 s: list.permutations_aux.rec._main._pack 0.000302 s: list.permutations_aux.rec._main 0.000115 s: list.permutations_aux.rec 0.000123 s: nat.digits._main.equations._eqn_2 0.000043 s: nat.digits.equations._eqn_2 0.000672 s: mv_polynomial.acounit.equations._eqn_1 0.001617 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_1 0.000938 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_3 0.001152 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_4 0.000811 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_5 0.000597 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_7 0.000486 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_8 0.030534 s: category_theory.limits.colimit_limit_to_limit_colimit._proof_9 0.035084 s: category_theory.limits.colimit_limit_to_limit_colimit 0.002849 s: category_theory.is_iso_iff_bijective 0.002690 s: category_theory.limits.types.jointly_surjective' 0.011089 s: category_theory.limits.types.colimit.ι_desc_apply 0.055050 s: category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply 0.014478 s: category_theory.curry.obj_obj_map 0.000102 s: category_theory.is_filtered.nonempty 0.000163 s: category_theory.is_filtered.right_to_max._proof_1 0.002376 s: category_theory.is_filtered.right_to_max._proof_2 0.000776 s: category_theory.is_filtered.right_to_max 0.003103 s: category_theory.is_filtered.sup_objs_exists 0.000293 s: category_theory.is_filtered.coeq._proof_1 0.000337 s: category_theory.is_filtered.coeq 0.000184 s: category_theory.is_filtered.coeq_hom._proof_1 0.000469 s: category_theory.is_filtered.coeq_hom._proof_2 0.000913 s: category_theory.is_filtered.coeq_hom 0.001749 s: category_theory.is_filtered.coeq_condition 0.026928 s: category_theory.is_filtered.sup_exists 0.004778 s: category_theory.limits.types.colimit_sound' 0.003431 s: category_theory.limits.types.limit.map_π_apply 0.174348 s: category_theory.limits.colimit_limit_to_limit_colimit_injective 0.002676 s: category_theory.is_filtered.sup 0.003870 s: category_theory.limits.types.colimit.w_apply 0.003103 s: category_theory.limits.types.limit.w_apply 0.004180 s: category_theory.limits.types.colimit.ι_map_apply 0.000637 s: category_theory.fin_category.fintype_hom 0.000183 s: category_theory.limits.types.limit.mk._proof_1 0.001296 s: category_theory.limits.types.limit.mk 0.005677 s: category_theory.limits.types.is_limit_equiv_sections_symm_apply 0.001713 s: category_theory.limits.types.limit_equiv_sections_symm_apply 0.001857 s: category_theory.limits.types.limit.π_mk 0.001517 s: category_theory.is_filtered.to_sup._proof_1 0.001714 s: category_theory.is_filtered.to_sup 0.361253 s: category_theory.limits.colimit_limit_to_limit_colimit_surjective 0.008883 s: category_theory.limits.colimit_limit_to_limit_colimit_is_iso 0.000165 s: category_theory.shrink_homs.to_shrink_homs.equations._eqn_1 0.001041 s: hahn_series.integral_domain._proof_13 0.001038 s: ordnode.find_ge_aux._main.equations._eqn_1 0.000835 s: ordnode.find_ge_aux.equations._eqn_1 0.000455 s: add_equiv.to_multiplicative'._proof_3 0.000313 s: add_con.add_comm_monoid._proof_1 0.000272 s: add_con.add_comm_monoid._proof_2 0.000312 s: add_con.add_comm_monoid._proof_3 0.001231 s: add_con.add_comm_monoid._proof_4 0.000766 s: add_con.add_comm_monoid._proof_5 0.001898 s: add_con.add_comm_monoid._proof_6 0.001125 s: add_con.add_comm_monoid 0.003318 s: add_localization.add_comm_monoid 0.003373 s: add_submonoid.localization_map.surj' 0.002970 s: add_submonoid.localization_map.surj 0.002028 s: add_submonoid.localization_map.sec 0.002107 s: add_submonoid.localization_map.eq_iff_exists' 0.001524 s: add_submonoid.localization_map.eq_iff_exists 0.001127 s: add_units.add_neg_eq_iff_eq_add 0.001645 s: add_units.add_lift_right_neg 0.001836 s: is_add_unit.add_lift_right_neg 0.010091 s: add_submonoid.localization_map.eq_of_eq 0.001635 s: add_submonoid.localization_map.sec_spec 0.008316 s: add_submonoid.localization_map.lift._proof_1 0.002532 s: add_submonoid.localization_map.sec_spec' 0.013036 s: add_submonoid.localization_map.lift._proof_2 0.003981 s: add_submonoid.localization_map.lift 0.001937 s: add_submonoid.localization_map.lift_spec 0.007734 s: add_submonoid.localization_map.eq_mk'_iff_add_eq 0.006133 s: add_submonoid.localization_map.lift_spec_add 0.017972 s: add_submonoid.localization_map.lift_left_inverse 0.004777 s: add_submonoid.localization_map.add_equiv_of_localizations._proof_1 0.002643 s: add_submonoid.localization_map.add_equiv_of_localizations 0.001829 s: add_localization.add_monoid_of._proof_1 0.001231 s: add_localization.add_monoid_of._proof_2 0.000762 s: add_units.mk_of_add_eq_zero._proof_1 0.000412 s: add_units.mk_of_add_eq_zero 0.000723 s: is_add_unit_of_add_eq_zero 0.001082 s: is_add_unit_iff_exists_neg 0.000640 s: add_monoid_hom.inl_apply 0.002294 s: add_localization.zero_rel 0.008980 s: add_localization.add_monoid_of._proof_3 0.001820 s: add_localization.ind 0.000353 s: add_localization.induction_on 0.009143 s: add_localization.add_monoid_of._proof_4 0.002634 s: add_localization.add_monoid_of._proof_5 0.005587 s: add_localization.add_monoid_of 0.000285 s: add_localization.add_equiv_of_quotient 0.002998 s: add_localization.add_equiv_of_quotient_apply 0.052770 s: algebra.tensor_product.map._proof_1 0.042957 s: algebra.tensor_product.map._proof_2 0.027130 s: algebra.tensor_product.map 0.041549 s: algebra.tensor_product.ext 0.023397 s: algebra.tensor_product.map_tmul 0.014480 s: algebra.tensor_product.congr._proof_1 0.015021 s: algebra.tensor_product.congr._proof_2 0.007399 s: algebra.tensor_product.congr 0.000193 s: io.finally._match_1 0.000218 s: io.finally._match_1.equations._eqn_1 0.010484 s: matrix.unitary_group.to_GL 0.011659 s: matrix.unitary_group.to_GL.equations._eqn_1 0.002147 s: add_comm_group.is_Z_bilin.dcases_on 0.000034 s: num.gcd_aux 0.000256 s: num.gcd_aux._main.equations._eqn_2 0.000035 s: num.gcd_aux.equations._eqn_2 0.000203 s: list.nodup_append_of_nodup 0.001915 s: smooth_map_ring._proof_4 0.141341 s: padic_int.appr._main 0.000053 s: padic_int.appr 0.062405 s: discrete_valuation_ring.unit_mul_pow_congr_pow 0.025763 s: discrete_valuation_ring.unit_mul_pow_congr_unit 0.012269 s: multiset.card_pos 0.005407 s: multiset.card_add 0.007655 s: prime_factors_unique 0.018784 s: wf_dvd_monoid.of_exists_prime_factors 0.000130 s: not_prime_zero 0.005222 s: irreducible_iff_prime_of_exists_prime_factors 0.000833 s: unique_factorization_monoid.of_exists_prime_factors 0.077867 s: discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization.to_unique_factorization_monoid 0.005659 s: discrete_valuation_ring.dcases_on 0.016367 s: local_of_unique_max_ideal 0.002827 s: ideal.is_prime.dcases_on 0.000911 s: ideal.maximal_of_no_maximal 0.000214 s: ne_bot_of_gt 0.010264 s: local_of_unique_nonzero_prime 0.001560 s: local_ring.le_maximal_ideal 0.061727 s: discrete_valuation_ring.iff_pid_with_one_nonzero_prime 0.012952 s: associates.mk_pow 0.001123 s: multiset.eq_repeat 0.062721 s: discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization.of_ufd_of_unique_irreducible 0.054146 s: discrete_valuation_ring.aux_pid_of_ufd_of_unique_irreducible 0.046186 s: ideal.span_singleton_eq_span_singleton 0.103661 s: discrete_valuation_ring.of_ufd_of_unique_irreducible 0.012338 s: not_irreducible_one 0.052207 s: discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization.unique_irreducible 0.002914 s: discrete_valuation_ring.of_has_unit_mul_pow_irreducible_factorization 0.009802 s: padic_int.prime_p 0.028705 s: padic_int.irreducible_p 0.035197 s: padic_int.discrete_valuation_ring 0.195230 s: padic_int.appr_spec 0.000113 s: tactic.abel.term 0.019637 s: function.injective.linear_ordered_add_comm_monoid._proof_9 0.020080 s: category_theory.mono_over.image_map 0.000976 s: state_t.adapt._match_1.equations._eqn_1 0.000504 s: lie_algebra.orthogonal.JD 0.002298 s: lie_algebra.orthogonal.JB 0.003358 s: category_theory.limits.cocone.extend.equations._eqn_1 0.000543 s: category_theory.monad.algebra.hom.id.equations._eqn_1 0.000405 s: order.ideal.is_proper.dcases_on 0.001424 s: ring_hom.prod_apply 0.002824 s: sesq_form.no_confusion_type 0.003139 s: sesq_form.no_confusion 0.002543 s: sesq_form.mk.inj 0.004249 s: sesq_form.mk.inj_eq 0.000189 s: omega.ee.no_confusion_type 0.000447 s: omega.ee.no_confusion 0.000093 s: omega.ee.nondiv.inj 0.025862 s: gaussian_int.to_complex_neg 0.006192 s: sub_mul_action.has_scalar'.equations._eqn_1 0.000440 s: category_theory.limits.has_binary_biproduct.has_colimit_pair 0.000595 s: category_theory.limits.has_binary_coproducts_of_has_binary_biproducts 0.000564 s: category_theory.limits.has_binary_coproducts_of_has_binary_biproducts.equations._eqn_1 0.002617 s: subring.prod_equiv._proof_2 0.000081 s: free_group.red.decidable_rel 0.000217 s: free_group.red.decidable_rel._main._proof_2 0.001505 s: free_group.red.decidable_rel._main.equations._eqn_2 0.000295 s: free_group.red.decidable_rel.equations._eqn_2 0.000058 s: computability.inclusion_bool_Γ'.equations._eqn_1 0.000078 s: name.repr 0.000073 s: name.repr.equations._eqn_1 0.000137 s: set.set_semiring.comm_semiring._proof_1 0.000096 s: set.set_semiring.comm_semiring._proof_2 0.001113 s: set.set_semiring.comm_semiring._proof_4 0.000372 s: set.set_semiring.comm_semiring._proof_5 0.000140 s: set.set_semiring.comm_semiring._proof_6 0.000112 s: set.set_semiring.comm_semiring._proof_7 0.000092 s: set.set_semiring.comm_semiring._proof_8 0.000076 s: set.set_semiring.comm_semiring._proof_9 0.000255 s: set.set_semiring.comm_semiring._proof_10 0.000214 s: set.set_semiring.comm_semiring._proof_11 0.000090 s: set.set_semiring.comm_semiring._proof_12 0.000074 s: set.set_semiring.comm_semiring._proof_13 0.000100 s: set.set_semiring.comm_semiring._proof_14 0.000155 s: set.set_semiring.comm_semiring._proof_15 0.003015 s: set.set_semiring.comm_semiring 0.002829 s: set.set_semiring.comm_semiring.equations._eqn_1 0.000585 s: wseq.split_at._match_1 0.000890 s: wseq.split_at._match_1.equations._eqn_3 0.008680 s: category_theory.lax_monoidal_functor.id._proof_3 0.001041 s: euclidean_domain.eq_div_of_mul_eq_left 0.070224 s: 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polynomial.gal.map_roots 0.028675 s: polynomial.root_set.equations._eqn_1 0.541179 s: polynomial.gal.map_roots_bijective 0.514438 s: polynomial.gal.roots_equiv_roots 0.000406 s: polynomial.gal.has_coe_to_fun 0.364238 s: polynomial.gal.gal_action_aux._proof_1 0.408271 s: polynomial.gal.gal_action_aux._proof_2 0.383628 s: polynomial.gal.gal_action_aux._proof_3 0.349571 s: polynomial.gal.gal_action_aux 0.572658 s: polynomial.gal.gal_action._proof_1 0.525978 s: polynomial.gal.gal_action._proof_2 0.451435 s: polynomial.gal.gal_action 0.395435 s: polynomial.gal.gal_action_hom._proof_2 0.000129 s: writer_t.has_monad_lift 0.000403 s: writer_t.mk_label._main 0.000131 s: writer_t.mk_label 0.032953 s: writer_t.goto_mk_label 0.000236 s: category_theory.with_terminal.lift._match_1 0.007529 s: category_theory.with_terminal.lift._match_2 0.014270 s: category_theory.with_terminal.lift._proof_1 0.020038 s: category_theory.with_terminal.lift._proof_2 0.003169 s: category_theory.with_terminal.lift 0.001750 s: category_theory.with_terminal.lift_star._proof_1 0.001271 s: category_theory.with_terminal.lift_star 0.001971 s: category_theory.with_terminal.lift_star.equations._eqn_1 0.002432 s: category_theory.is_iso_of_mono_of_split_epi 0.002430 s: category_theory.strict_initial 0.000760 s: category_theory.initial_mono 0.003127 s: category_theory.limits.initial_is_initial._proof_1 0.007497 s: category_theory.limits.initial_is_initial._proof_2 0.002982 s: category_theory.limits.initial_is_initial 0.001882 s: category_theory.initial.mono_to 0.003701 s: bounded_distrib_lattice.no_confusion_type 0.004738 s: bounded_distrib_lattice.no_confusion 0.008572 s: bounded_distrib_lattice.mk.inj 0.000219 s: parser.foldr_core._sunfold 0.000661 s: linear_map.general_linear_group.to_linear_equiv._proof_1 0.001977 s: linear_map.general_linear_group.to_linear_equiv._proof_2 0.001949 s: linear_map.general_linear_group.to_linear_equiv._proof_3 0.001244 s: linear_map.general_linear_group.to_linear_equiv._proof_4 0.002291 s: linear_map.general_linear_group.to_linear_equiv 0.001414 s: linear_map.general_linear_group.general_linear_equiv._proof_2 0.000971 s: is_lawful_monad_cont.sizeof 0.000078 s: is_lawful_monad_cont.has_sizeof_inst 0.000339 s: bool.bxor_bnot_left 0.000465 s: map_nhds_induced_of_surjective 0.000534 s: list.alternating_sum._main 0.000047 s: list.alternating_sum 0.000124 s: list.alternating_sum._sunfold 0.000251 s: isometric.sizeof 0.001222 s: isometric.mk.sizeof_spec 0.000779 s: set.Iic.semilattice_sup_bot._proof_4 0.000191 s: turing.reaches₀.trans 0.000229 s: turing.reaches₀.single 0.000123 s: turing.reaches₀.head 0.000159 s: pgame.short.ibelow 0.000072 s: is_strict_total_order.to_is_trichotomous 0.001579 s: sum.map_comp_map 0.001403 s: is_submonoid.inter.equations._eqn_1 0.000416 s: category_theory.monoidal_nat_trans.category_monoidal_functor 0.000311 s: category_theory.braided_functor.category_braided_functor 0.000970 s: category_theory.braided_functor.mk_iso._proof_1 0.000916 s: category_theory.braided_functor.mk_iso._proof_2 0.004386 s: category_theory.braided_functor.mk_iso 0.003757 s: category_theory.braided_functor.mk_iso.equations._eqn_1 0.001634 s: category_theory.unit_comp_partial_bijective_aux 0.001106 s: category_theory.unit_comp_partial_bijective 0.005085 s: submodule.to_affine_subspace._proof_1 0.003196 s: submodule.to_affine_subspace 0.027820 s: category_theory.over.forget.category_theory.limits.reflects_colimits._proof_1 0.054112 s: category_theory.over.forget.category_theory.limits.reflects_colimits._proof_2 0.058421 s: category_theory.over.forget.category_theory.limits.reflects_colimits._proof_3 0.014479 s: category_theory.over.forget.category_theory.limits.reflects_colimits 0.007593 s: category_theory.over.forget.category_theory.limits.reflects_colimits.equations._eqn_1 0.002294 s: set.preimage_sub_const_Iic 0.000257 s: shrink.equations._eqn_1 0.000396 s: measure_theory.measure.inv 0.001637 s: measure_theory.measure.inv_apply 0.000427 s: set.preimage_congr 0.005195 s: measure_theory.is_mul_left_invariant.inv 0.037142 s: pi.ordered_cancel_add_comm_monoid._proof_12 0.008799 s: set.fintype_bUnion._proof_1 0.001472 s: set.fintype_bUnion 0.001778 s: set.fintype_bind 0.000475 s: set.fintype_bind' 0.000466 s: ctop.top 0.000854 s: ctop.top_mem 0.004297 s: ctop.realizer.nhds._match_3 0.001323 s: ctop.realizer.nhds._match_4 0.003671 s: ctop.realizer.nhds._match_8 0.001150 s: multiset.erase_comm 0.000203 s: psigma.mk.inj_arrow 0.088471 s: real.differentiable_sinh 0.169413 s: real.continuous_sinh 0.000162 s: real.measurable_sinh 0.000198 s: measurable.sinh 0.026016 s: algebraic_geometry.PresheafedSpace.restrict_presheaf 0.000278 s: units.rec_on 0.004060 s: derivation.has_coe_to_linear_map.equations._eqn_1 0.025644 s: formal_multilinear_series.comp_remove_zero 0.005862 s: category_theory.preserves_colimit_of_creates_colimit_and_has_colimit 0.000411 s: category_theory.creates_colimits_of_shape.creates_colimit 0.000243 s: category_theory.preserves_colimit_of_shape_of_creates_colimits_of_shape_and_has_colimits_of_shape._proof_1 0.000469 s: category_theory.preserves_colimit_of_shape_of_creates_colimits_of_shape_and_has_colimits_of_shape 0.000219 s: category_theory.creates_colimits.creates_colimits_of_shape 0.000287 s: category_theory.preserves_colimits_of_creates_colimits_and_has_colimits 0.000604 s: category_theory.preserves_colimits_of_creates_colimits_and_has_colimits.equations._eqn_1 0.001706 s: seq.of_list_nil 0.006371 s: category_theory.limits.is_limit.no_confusion_type 0.004313 s: category_theory.limits.is_limit.no_confusion 0.009567 s: category_theory.limits.is_limit.mk.inj 0.010694 s: category_theory.limits.is_limit.mk.inj_arrow 0.000081 s: omega.term.fresh_index 0.000322 s: omega.terms.fresh_index._main 0.000278 s: omega.terms.fresh_index._main.equations._eqn_1 0.000142 s: con.correspondence._proof_3 0.002782 s: bilin_form.no_confusion_type 0.001644 s: bilin_form.no_confusion 0.005031 s: category_theory.pretopology 0.001106 s: category_theory.pretopology.coverings 0.000135 s: category_theory.pretopology.has_coe_to_fun 0.001221 s: category_theory.pretopology.has_isos 0.009959 s: category_theory.pretopology.to_grothendieck._proof_1 0.001453 s: category_theory.pretopology.pullbacks 0.001792 s: category_theory.pullback_arrows.dcases_on 0.014731 s: category_theory.pullback_arrows_comm 0.006720 s: category_theory.sieve.galois_connection 0.000516 s: category_theory.sieve.pullback_monotone 0.004797 s: category_theory.pretopology.to_grothendieck._proof_2 0.001780 s: category_theory.pretopology.transitive 0.025330 s: category_theory.pretopology.to_grothendieck._proof_3 0.001944 s: category_theory.pretopology.to_grothendieck 0.009714 s: turing.partrec_to_TM2.tr_pos_num_nat_end 0.000739 s: turing.partrec_to_TM2.tr_num_nat_end 0.003901 s: lucas_lehmer.s_zmod._main.equations._eqn_1 0.000198 s: is_strict_weak_order.drec 0.000547 s: equiv.comm_group._proof_1 0.000323 s: equiv.comm_group._proof_2 0.000232 s: equiv.comm_group._proof_3 0.000214 s: equiv.comm_group._proof_4 0.001752 s: equiv.comm_group 0.001353 s: finset.subtype_insert_equiv_option._proof_1 0.000483 s: is_cau_seq.equations._eqn_1 0.000254 s: set.inv_on.symm 0.003439 s: eventually_ge_of_tendsto_gt 0.001472 s: is_preconnected.intermediate_value_Ico 0.023109 s: intermediate_value_Ioc' 0.000196 s: has_to_string.sizeof 0.000415 s: has_to_string.mk.sizeof_spec 0.006638 s: filter.tendsto_at_top_add_right_of_le 0.042563 s: filter.tendsto_at_bot_add_right_of_ge 0.000594 s: ulift.seq._main.equations._eqn_1 0.000268 s: ulift.seq.equations._eqn_1 0.008423 s: nat.gcd_add_mul_self 0.005295 s: topological_vector_bundle 0.002479 s: topological_vector_bundle.trivialization.linear 0.001535 s: topological_vector_bundle.trivialization.continuous_linear_equiv_at._proof_1 0.002236 s: 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circle.group._proof_5 0.002357 s: circle.group._proof_7 0.004340 s: circle.group._proof_8 0.003376 s: circle.group._proof_9 0.002882 s: circle.group._proof_10 0.002456 s: circle.group._proof_11 0.004128 s: circle.group._proof_12 0.015977 s: complex.norm_sq_eq_conj_mul_self 0.022321 s: circle.group._proof_13 0.009564 s: circle.group 0.001632 s: coe_inv_circle 0.000089 s: name.update_prefix._main 0.000146 s: name.update_prefix._main.equations._eqn_3 0.000774 s: stream.inits_tail 0.003563 s: set.preimage_const_sub_Ici 0.002112 s: set.preimage_const_sub_Iio 0.004397 s: set.preimage_const_sub_Ico 0.185756 s: slim_check.list.shrink_removes._main._pack._proof_1 0.000093 s: slim_check.list.shrink_removes._main._pack._proof_2 0.030928 s: slim_check.list.shrink_removes._main._pack._proof_3 0.159577 s: slim_check.list.shrink_removes._main._pack.equations._eqn_1 0.023467 s: slim_check.list.shrink_removes._main.equations._eqn_1 0.005077 s: slim_check.list.shrink_removes.equations._eqn_1 0.001158 s: category_theory.algebra_equiv_under_inverse 0.000188 s: dmatrix.transpose._main 0.000115 s: dmatrix.transpose 0.000150 s: topological_space.compacts.inhabited 0.000169 s: topological_space.compacts.inhabited.equations._eqn_1 0.001162 s: perfect_ring.no_confusion 0.001412 s: perfect_ring.mk.inj 0.000332 s: sym2.from_rel.decidable_pred._proof_1 0.000686 s: pgame.impartial_aux._main._pack.equations._eqn_1 0.000258 s: pgame.impartial_aux._main.equations._eqn_1 0.000234 s: pgame.impartial_aux.equations._eqn_1 0.000242 s: pgame.impartial_aux_def 0.001078 s: pgame.impartial_def 0.000172 s: pgame.impartial.move_right_impartial 0.004028 s: euclidean_quadrant.topological_space 0.001764 s: model_with_corners_euclidean_quadrant._proof_1 0.000424 s: model_with_corners_euclidean_quadrant._proof_2 0.003869 s: model_with_corners_euclidean_quadrant._proof_5 0.013630 s: model_with_corners_euclidean_quadrant._proof_6 0.003377 s: set.pi_univ_Ici 0.001673 s: unique_diff_on.univ_pi 0.295745 s: model_with_corners_euclidean_quadrant._proof_7 0.003998 s: model_with_corners_euclidean_quadrant._proof_8 0.096215 s: model_with_corners_euclidean_quadrant._proof_9 0.162908 s: model_with_corners_euclidean_quadrant 0.000517 s: normed_linear_ordered_group.cases_on 0.032858 s: Module.colimits.relation.rec_on 0.000150 s: ordnode.alter._match_2 0.000134 s: ordnode.alter._match_1 0.002189 s: ordnode.alter._main 0.000115 s: ordnode.alter 0.000648 s: ordnode.alter._main.equations._eqn_1 0.000230 s: ordnode.alter.equations._eqn_1 0.000756 s: lie_module_equiv.has_one._proof_1 0.000781 s: lie_module_equiv.has_one._proof_2 0.001052 s: lie_module_equiv.has_one._proof_3 0.000518 s: lie_module_equiv.has_one._proof_4 0.000477 s: lie_module_equiv.has_one._proof_5 0.003116 s: lie_module_equiv.has_one 0.000757 s: lie_module_equiv.refl 0.001895 s: lie_module_equiv.refl_apply 0.000106 s: exists_pempty 0.001352 s: ennreal.tsum_sub 0.001935 s: measure_theory.measure.le_of_add_le_add_left 0.019919 s: 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bilin_form.congr._proof_1 0.005137 s: bilin_form.congr._proof_2 0.007285 s: bilin_form.congr._proof_3 0.006687 s: bilin_form.congr._proof_4 0.005211 s: bilin_form.congr 0.027683 s: bilin_form.comp_congr 0.011247 s: _private.617357615.f._main 0.005196 s: _private.617357615.f._main.equations._eqn_2 0.002593 s: category_theory.exact_zero_left_of_mono 0.001330 s: polynomial.decidable_dvd_monic.equations._eqn_1 0.000328 s: category_theory.comonad.simps.δ 0.000544 s: category_theory.comonad.simps.δ.equations._eqn_1 0.000658 s: continuous_min 0.001252 s: filter.tendsto.min 0.380518 s: filter.map_binfi_eq 0.000182 s: parser.prog.and_then 0.000448 s: continuous_linear_map.prodₗ._proof_1 0.012908 s: prod.has_continuous_smul 0.001240 s: continuous_linear_map.prodₗ._proof_2 0.002677 s: continuous_linear_map.prodₗ._proof_3 0.000488 s: continuous_linear_map.prodₗ._proof_4 0.000330 s: continuous_linear_map.prodₗ._proof_5 0.001664 s: continuous_linear_map.prodₗ._proof_6 0.002628 s: 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measure_theory.ae_eq_fun.comm_group._proof_1 0.000348 s: measure_theory.ae_eq_fun.comm_group._proof_2 0.000223 s: measure_theory.ae_eq_fun.comm_group._proof_3 0.000567 s: measure_theory.ae_eq_fun.comm_group._proof_4 0.000462 s: measure_theory.ae_eq_fun.comm_group._proof_5 0.000821 s: measure_theory.ae_eq_fun.comm_group._proof_6 0.000780 s: measure_theory.ae_eq_fun.comm_group._proof_7 0.000302 s: measure_theory.ae_eq_fun.comm_monoid._proof_1 0.000363 s: measure_theory.ae_eq_fun.comm_monoid._proof_2 0.002265 s: measure_theory.ae_eq_fun.comm_monoid 0.006220 s: measure_theory.ae_eq_fun.comm_group._proof_8 0.007937 s: measure_theory.ae_eq_fun.comm_group 0.000234 s: alist.keys_nodup 0.001139 s: finmap.keys._proof_1 0.000128 s: finmap.keys 0.000208 s: alist.to_finmap_entries 0.000558 s: multiset.coe_keys 0.000506 s: multiset.coe_erase 0.000343 s: alist.erase.equations._eqn_1 0.000208 s: finmap.keys.equations._eqn_1 0.000313 s: finset.erase.equations._eqn_1 0.002946 s: finmap.keys_erase_to_finset 0.001696 s: is_coprime.is_unit_of_dvd 0.001560 s: affine_equiv.coe_refl 0.000120 s: setoid.lift_equiv._proof_1 0.038452 s: contracting_with.one_sub_K_pos 0.000164 s: submonoid.localization_map.away_map 0.000211 s: submonoid.localization_map.away_map.inv_self._proof_1 0.000603 s: submonoid.localization_map.away_map.inv_self 0.021388 s: normed_space_lie_add_group 0.032585 s: field_smooth_ring 0.004929 s: smooth_map_module'._proof_1 0.000768 s: smooth_map_module'._proof_2 0.001670 s: smooth_map_module'._proof_3 0.000426 s: smooth_map_module'._proof_4 0.005121 s: smooth.smul 0.006601 s: smooth_map_has_scalar'._proof_1 0.004320 s: smooth_map_has_scalar' 0.007778 s: smooth_map_module'._proof_5 0.011789 s: smooth_map_module'._proof_6 0.043912 s: smooth_map_module'._proof_7 0.050231 s: smooth_map_module'._proof_8 0.091895 s: smooth_map_module'._proof_9 0.096257 s: smooth_map_module'._proof_10 0.071346 s: smooth_map_module' 0.054140 s: smooth_map_module'.equations._eqn_1 0.001470 s: prod.partial_order.equations._eqn_1 0.026394 s: category_theory.limits.cones.postcompose_comp._proof_1 0.066882 s: category_theory.limits.cones.postcompose_comp._proof_2 0.024937 s: category_theory.limits.cones.postcompose_comp 0.007654 s: category_theory.limits.cones.postcompose_comp_inv_app_hom 0.005034 s: typevec.diag_sub._main.equations._eqn_2 0.000200 s: polynomial.lifts_ring._proof_1 0.044497 s: polynomial.lifts_ring 0.050511 s: polynomial.lifts_ring.equations._eqn_1 0.058437 s: continuous_Sup_dom 0.010209 s: continuous_supr_dom 0.000659 s: continuous_sigma 0.006204 s: continuous_sigma_map 0.018783 s: embedding_sigma_map 0.000077 s: ordnode.mem._match_1 0.002703 s: ordnode.mem._main 0.000102 s: ordnode.mem 0.000018 s: omega.int.preform.fresh_index 0.000109 s: has_Sup.cases_on 0.000090 s: has_Sup.no_confusion_type 0.000229 s: has_Sup.no_confusion 0.000230 s: has_Sup.mk.inj 0.013086 s: times_cont_diff_bump_of_inner.inhabited 0.191072 s: times_cont_diff_bump.inhabited 0.000917 s: ordnode.fold._main 0.000059 s: ordnode.fold 0.000324 s: ordnode.prod 0.000262 s: ordnode.prod.equations._eqn_1 0.000576 s: turing.TM0.supports.equations._eqn_1 0.000485 s: category_theory.adjunction.of_left_adjoint.equations._eqn_1 0.000089 s: monoid.foldr 0.000304 s: monoid.foldr.get 0.000085 s: monoid.foldr.mk 0.000308 s: traversable.foldr 0.017590 s: flow.mk.sizeof_spec 0.002256 s: perfect_closure.of._proof_1 0.001756 s: perfect_closure.of._proof_2 0.001854 s: perfect_closure.of._proof_3 0.002117 s: perfect_closure.of._proof_4 0.014920 s: perfect_closure.of 0.004512 s: perfect_closure.of_apply 0.000706 s: pequiv.to_matrix._main 0.000173 s: pequiv.to_matrix 0.011815 s: pequiv.mul_matrix_apply 0.008627 s: pequiv.to_matrix_trans 0.000174 s: slim_check.ulift.sampleable_functor._match_1 0.000717 s: slim_check.ulift.sampleable_functor._match_2 0.005587 s: lie_equiv.cases_on 0.019589 s: lie_equiv.symm_symm 0.207709 s: linear_equiv.lie_conj_symm 0.189260 s: matrix.lie_conj_symm_apply 0.026351 s: tactic_doc._2206198207 0.000031 s: expr.coord.pi_var_type.inj 0.070135 s: lie_submodule.is_modular_lattice 0.074141 s: lie_submodule.is_modular_lattice.equations._eqn_1 0.013729 s: category_theory.pairwise.diagram_map._sunfold 0.006674 s: _private.595311107.f._main.equations._eqn_2 0.006003 s: _private.595311107.f.equations._eqn_2 0.002967 s: exterior_algebra.ι_multi._proof_1 0.002524 s: exterior_algebra.ι_multi._proof_2 0.004404 s: multilinear_map.comp_linear_map_apply 0.000648 s: eq_zero_iff_eq_zero_of_add_eq_zero 0.004067 s: exterior_algebra.ι_add_mul_swap 0.009638 s: exterior_algebra.ι_mul_prod_list 0.004332 s: fin.succ_lt_succ_iff 0.001455 s: fin.pred_lt_pred_iff 0.019440 s: exterior_algebra.ι_multi._proof_3 0.024417 s: exterior_algebra.ι_multi 0.003161 s: is_compl.dcases_on 0.044300 s: algebra.left_mul_matrix._proof_1 0.081472 s: algebra.left_mul_matrix._proof_3 0.075753 s: algebra.left_mul_matrix._proof_4 0.095669 s: algebra.left_mul_matrix._proof_5 0.031280 s: algebra.lmul_algebra_map 0.104982 s: algebra.left_mul_matrix._proof_6 0.071582 s: algebra.left_mul_matrix 0.000593 s: interval_integral.FTC_filter.nhds_univ 0.007888 s: interval_integral.FTC_filter.nhds_univ.equations._eqn_1 0.000187 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_1 0.000092 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_2 0.000067 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_3 0.000056 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_4 0.000048 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_6 0.000051 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_7 0.000047 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_9 0.000090 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_10 0.000041 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_11 0.000038 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_12 0.208493 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_13 0.290701 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone._proof_16 0.158102 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone 0.164930 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_sheaf_condition_fork_of_is_limit_map_cone.equations._eqn_1 0.000671 s: le_of_add_le_of_nonneg_right 0.000071 s: turing.partrec_to_TM2.K'.sizeof 0.000048 s: turing.partrec_to_TM2.K'.aux.sizeof_spec 0.000968 s: order_dual.of_dual_symm_eq 0.161587 s: padic_norm_e.equations._eqn_1 0.000176 s: intermediate_field.insert_nonempty 0.159606 s: field.primitive_element_inf_aux_exists_c 0.020704 s: intermediate_field.adjoin.field_coe 0.356885 s: polynomial.eq_X_sub_C_of_splits_of_single_root 0.264288 s: polynomial.eq_X_sub_C_of_separable_of_root_eq 0.144742 s: polynomial.separable_gcd_right 0.127126 s: polynomial.eval₂_gcd_eq_zero 0.088404 s: polynomial.eval_gcd_eq_zero 0.186434 s: polynomial.splits_of_splits_gcd_right 0.133717 s: polynomial.root_left_of_root_gcd 0.105167 s: polynomial.root_right_of_root_gcd 0.016605 s: intermediate_field.smul_mem 0.985623 s: field.primitive_element_inf_aux 0.016581 s: category_theory.limits.diagram_iso_span._proof_1 0.057174 s: category_theory.limits.diagram_iso_span._proof_2 0.002059 s: category_theory.limits.diagram_iso_span 0.010524 s: category_theory.limits.cocone.of_pushout_cocone 0.000056 s: comm_semigroup.has_sizeof_inst 0.009067 s: equiv.add_left_symm 0.012053 s: local_equiv.trans_symm_eq_symm_trans_symm 0.002251 s: submonoid.is_closed_topological_closure 0.000297 s: bilin_form.is_ortho_zero_left 0.006055 s: bilin_form.ne_zero_of_not_is_ortho_self 0.004000 s: bundle_trivialization.comp_homeomorph._proof_1 0.000162 s: random_gen.cases_on 0.000115 s: random_gen.no_confusion_type 0.000334 s: random_gen.no_confusion 0.000313 s: random_gen.mk.inj 0.000266 s: random_gen.mk.inj_arrow 0.000690 s: subgroup.to_linear_ordered_comm_group._proof_2 0.006203 s: matrix.bit1_apply 0.001715 s: matrix.bit1_apply_eq 0.005071 s: category_theory.monoidal.left_unitor_inv_apply 0.000418 s: set.Icc.lattice._proof_1 0.000337 s: set.Icc.lattice._proof_2 0.000624 s: set.Icc.lattice._proof_3 0.000600 s: set.Icc.lattice._proof_4 0.000605 s: set.Icc.lattice._proof_6 0.000686 s: set.Icc.lattice._proof_7 0.000447 s: set.Icc.lattice._proof_8 0.000399 s: set.Icc.lattice._proof_9 0.000860 s: set.Icc.lattice._proof_10 0.026615 s: set.Icc.lattice 0.014580 s: set.Icc.lattice.equations._eqn_1 0.000228 s: ultrafilter.coe_inj 0.380517 s: has_fderiv_at.sin 0.073849 s: le_inv_of_neg 0.050748 s: inv_lt_of_neg 0.014096 s: one_div_lt_of_neg 0.000172 s: fin_enum.cases_on 0.000130 s: fin_enum.no_confusion_type 0.000430 s: fin_enum.no_confusion 0.000169 s: pos 0.000097 s: pos.cases_on 0.000117 s: pos.no_confusion_type 0.000361 s: pos.no_confusion 0.001500 s: pos.decidable_eq._main 0.000013 s: pos.decidable_eq 0.000127 s: pos.decidable_eq._main._proof_1 0.000106 s: pos.decidable_eq._main._proof_2 0.000067 s: pos.decidable_eq._main._proof_3 0.001006 s: pos.decidable_eq._main.equations._eqn_1 0.000374 s: pos.decidable_eq.equations._eqn_1 0.002763 s: list.foldl_op_eq_op_foldr_assoc 0.000040 s: tactic.simp_config.memoize._default 0.000059 s: tactic.simp_config.memoize._default.equations._eqn_1 0.002645 s: local_equiv.image_trans_source 0.004683 s: local_equiv.inv_image_trans_target 0.126415 s: real.has_deriv_within_at_arcsin_Iic 0.105484 s: real.has_deriv_within_at_arccos_Iic 0.000202 s: add_units.add_comm_group._proof_1 0.000114 s: add_units.add_comm_group._proof_2 0.000116 s: add_units.add_comm_group._proof_3 0.012611 s: add_units.add_comm_group._proof_4 0.002341 s: add_units.add_comm_group._proof_5 0.002146 s: add_units.add_comm_group._proof_6 0.000709 s: add_units.add_comm_group._proof_7 0.002597 s: add_units.add_comm_group._proof_8 0.002633 s: add_units.add_comm_group 0.000205 s: add_units.ordered_add_comm_group._proof_2 0.003009 s: mul_semiring_action.sizeof 0.000093 s: mul_semiring_action.has_sizeof_inst 0.000481 s: faithful_mul_semiring_action.sizeof 0.001684 s: faithful_mul_semiring_action.mk.sizeof_spec 0.012666 s: category_theory.adjunction.mk.sizeof_spec 0.000220 s: turing.TM2.cfg.stk 0.000208 s: tactic.ring2.horner_expr.mul._main.equations._eqn_1 0.000068 s: tactic.ring2.horner_expr.mul.equations._eqn_1 0.000103 s: list.lookmap._match_1 0.000261 s: list.lookmap._main 0.000028 s: list.lookmap 0.000202 s: list.kreplace 0.000734 s: is_adic_complete 0.054357 s: is_Hausdorff.bot 0.000524 s: is_adic_complete.bot 0.000091 s: turing.partrec_to_TM2.cont'.halt.inj 0.000049 s: turing.partrec_to_TM2.cont'.halt.inj_eq 0.000374 s: category_theory.limits.coequalizer.cofork 0.014469 s: category_theory.limits.coequalizer.cofork_ι_app_one 0.000180 s: add_con.correspondence._proof_1 0.001575 s: add_con.correspondence._proof_2 0.000187 s: add_con.correspondence._proof_3 0.000152 s: add_con.correspondence._proof_4 0.001275 s: add_con.correspondence._proof_5 0.005804 s: add_con.correspondence._match_6 0.009137 s: add_con.correspondence._proof_7 0.025860 s: add_con.correspondence._match_7 0.038524 s: add_con.correspondence._match_8 0.037711 s: add_con.correspondence._proof_8 0.017170 s: add_con.correspondence 0.000797 s: prod.fst_inv 0.006154 s: subgroup.map_mono 0.051547 s: mfderiv_within_congr 0.011766 s: lex_linear_order._proof_5 0.000603 s: ulift.is_lawful_functor._match_1 0.000212 s: slim_check.perm.printable_prop 0.000203 s: slim_check.perm.printable_prop.equations._eqn_1 0.000363 s: group.mem_closure 0.000281 s: group.subset_closure 0.000142 s: group.conjugates_of_set_subset_normal_closure 0.000152 s: group.subset_normal_closure 0.007233 s: category_theory.comonad.sizeof 0.000068 s: category_theory.comonad.has_sizeof_inst 0.000313 s: roption.assert_defined 0.000334 s: topological_space.opens.interior.equations._eqn_1 0.024287 s: has_deriv_within_at_iff_tendsto 0.000121 s: conj_classes.has_one 0.001345 s: set_like.forall 0.009942 s: linear_map.restrict._proof_1 0.001715 s: linear_map.restrict 0.009466 s: linear_map.subtype_comp_restrict 0.026174 s: continuous_linear_map.algebra.equations._eqn_1 0.001088 s: category_theory.monad.free_coequalizer.top_map 0.006155 s: category_theory.monad.free_coequalizer.bottom_map._proof_1 0.009871 s: category_theory.monad.free_coequalizer.bottom_map 0.003575 s: category_theory.monad.free_coequalizer.π._proof_1 0.002515 s: category_theory.monad.free_coequalizer.π 0.005806 s: category_theory.monad.free_coequalizer.condition 0.001089 s: category_theory.monad.beck_algebra_cofork 0.002992 s: category_theory.monad.right_unit_assoc 0.004668 s: category_theory.monad.left_unit_assoc 0.022701 s: category_theory.monad.beck_algebra_coequalizer._proof_1 0.010091 s: category_theory.monad.beck_algebra_cofork_ι_app 0.042970 s: category_theory.monad.beck_algebra_coequalizer._proof_2 0.021728 s: category_theory.monad.beck_algebra_coequalizer 0.011913 s: category_theory.lax_monoidal_functor.cases_on 0.009016 s: category_theory.lax_monoidal_functor.no_confusion_type 0.005590 s: category_theory.lax_monoidal_functor.no_confusion 0.015508 s: category_theory.lax_monoidal_functor.mk.inj 0.018334 s: category_theory.lax_monoidal_functor.mk.inj_arrow 0.004843 s: binder_info.has_repr._match_1 0.000900 s: binder_info.has_repr._match_1.equations._eqn_4 0.001220 s: Group.has_limits.equations._eqn_1 0.001764 s: Set.image._match_2.equations._eqn_1 0.001499 s: category_theory.pairwise.comp._main.equations._eqn_1 0.000786 s: ordnode.find_lt_aux._main 0.000073 s: ordnode.find_lt_aux 0.000659 s: ordnode.find_lt._main 0.000583 s: ordnode.find_lt._main.equations._eqn_1 0.012580 s: subtype.semilattice_sup.equations._eqn_1 0.000227 s: rbnode.sizeof 0.000118 s: rbnode.has_sizeof_inst 0.000473 s: rbnode.red_node.sizeof_spec 0.000835 s: associates.bcount._main 0.001405 s: associates.bcount._main.equations._eqn_2 0.006395 s: hahn_series.summable_family.hsum._proof_1 0.000315 s: con.rec_on 0.000416 s: gcd_monoid_of_gcd._proof_1 0.000456 s: gcd_monoid_of_gcd._proof_2 0.000694 s: gcd_monoid_of_gcd._proof_3 0.001110 s: gcd_monoid_of_gcd._proof_4 0.000242 s: gcd_monoid_of_gcd._proof_5 0.008686 s: gcd_monoid_of_gcd._proof_6 0.003587 s: gcd_monoid_of_gcd._proof_7 0.009348 s: gcd_monoid_of_gcd._proof_8 0.008634 s: gcd_monoid_of_gcd 0.000095 s: nat.decidable_pred_odd 0.000076 s: nat.decidable_pred_odd.equations._eqn_1 0.000080 s: option.to_list._main 0.000187 s: option.to_list._main.equations._eqn_1 0.000229 s: reader_t.monad_map 0.000669 s: reader_t.monad_map.equations._eqn_1 0.006376 s: linear_map.compl₂.equations._eqn_1 0.000524 s: disjoint_sdiff 0.020721 s: disjoint_sdiff_iff_le 0.002960 s: inf_sdiff_eq_bot_iff 0.000116 s: set.eq_on_comm 0.000595 s: is_comm_applicative.commutative_prod 0.002753 s: is_comm_applicative.commutative_map 0.012462 s: multiset.traverse._proof_1 0.000125 s: pgame.impartial.dcases_on 0.000206 s: pgame.relabel 0.000230 s: pgame.relabel.equations._eqn_1 0.021938 s: subgroup.closure_union 0.020250 s: subgroup.mem_sup 0.005553 s: subgroup.mem_sup' 0.002632 s: function.injective.swap_apply 0.001160 s: function.injective.swap_comp 0.000540 s: hahn_series.has_one.equations._eqn_1 0.000659 s: pSet.definable.eq_mk._main 0.000086 s: pSet.definable.eq_mk 0.003386 s: pSet.resp.eval_val 0.000740 s: pSet.resp.f.equations._eqn_1 0.001181 s: pSet.definable.eq 0.011339 s: classical.all_definable._main 0.000047 s: classical.all_definable 0.000307 s: Set.map_definable_aux 0.000178 s: Set.map 0.000288 s: Set.choice 0.000191 s: Set.choice.equations._eqn_1 0.000089 s: int.shift2._main 0.000121 s: int.shift2._main.equations._eqn_2 0.024793 s: function.injective.comm_group.equations._eqn_1 0.000078 s: cond._sunfold 0.005331 s: pfunctor.M.is_path 0.000407 s: pfunctor.M.is_bisimulation.tail 0.000118 s: pfunctor.M.isubtree._main._proof_1 0.003410 s: pfunctor.M.isubtree._main.equations._eqn_2 0.000526 s: pfunctor.M.isubtree.equations._eqn_2 0.009895 s: pfunctor.M.cases_mk 0.000560 s: pfunctor.M.cases_on_mk' 0.002040 s: pfunctor.M.isubtree_cons 0.000052 s: or_of_or_of_imp_of_imp 0.000692 s: pfunctor.M.is_path.dcases_on 0.000252 s: pfunctor.M.mk_inj 0.003248 s: pfunctor.M.is_path_cons' 0.000261 s: pfunctor.M.is_bisimulation.head 0.002409 s: pfunctor.M.is_path_cons 0.229446 s: pfunctor.M.nth_of_bisim 0.007918 s: affine_subspace.direction_le 0.000023 s: list.iota 0.000057 s: list.iota.equations._eqn_2 0.010321 s: list.iota_eq_reverse_range' 0.000302 s: list.length_iota 0.001452 s: add_monoid.closure_subset 0.000289 s: add_group.mclosure_subset 0.067909 s: lie_submodule.quotient.lie_quotient_lie_ring_module.equations._eqn_1 0.000121 s: ordnode.find_index_aux._match_1 0.008707 s: ordnode.find_index_aux._main 0.000103 s: ordnode.find_index_aux 0.000166 s: ordnode.find_index_aux._sunfold 0.000205 s: add_equiv.to_multiplicative''._proof_5 0.002244 s: set.is_lawful_functor._match_1 0.002602 s: set.is_lawful_functor._match_2 0.000993 s: set.is_lawful_functor._match_3 0.001142 s: set.is_lawful_functor 0.001456 s: set.bind_def 0.003045 s: set.seq_def 0.189637 s: set.is_lawful_monad 0.185984 s: set.is_lawful_monad.equations._eqn_1 0.001920 s: mvqpf.cofix.corec' 0.000387 s: wseq.length._match_1 0.000120 s: wseq.length._match_2 0.000067 s: wseq.length 0.012375 s: intermediate_field.adjoin_eq_range_algebra_map_adjoin 0.000165 s: category_theory.connected_components.inhabited 0.000587 s: monoid_hom.range.equations._eqn_1 0.001880 s: category_theory.pretopology.cases_on 0.000979 s: category_theory.pretopology.no_confusion_type 0.000716 s: tactic.ring2.horner_expr.mul._main.equations._eqn_2 0.000069 s: tactic.ring2.horner_expr.mul.equations._eqn_2 0.000115 s: tree.index_of._match_1 0.000503 s: tree.index_of._main 0.000048 s: tree.index_of 0.000108 s: tree.index_of._sunfold 0.000297 s: equiv.semiring._proof_1 0.005558 s: category_theory.yoneda.naturality 0.012098 s: category_theory.yoneda.yoneda_full._proof_1 0.002624 s: category_theory.yoneda.yoneda_full 0.012263 s: category_theory.yoneda.yoneda_faithful 0.001138 s: category_theory.yoneda.is_iso 0.002542 s: pnat.prime.one_lt 0.000794 s: normed_group_hom.id_apply 0.009170 s: normed_group_hom.norm_id_le 0.000433 s: nat.mul_mod_mul_right 0.002429 s: homeomorph.prod_congr._proof_2 0.000466 s: const_smul_hom.equations._eqn_1 0.001517 s: order_iso.bijective 0.006477 s: finset.prod_dite 0.010188 s: fintype.prod_dite 0.024950 s: multilinear_map.restr_norm_le 0.007816 s: continuous_multilinear_map.restr._proof_1 0.003372 s: continuous_multilinear_map.restr 0.000513 s: summable.sigma_factor 0.001048 s: summable.sigma' 0.004751 s: summable.sigma 0.001234 s: tsum_sigma' 0.004327 s: ennreal.tsum_sigma' 0.005477 s: nnreal.summable_sigma 0.002924 s: summable_sigma_of_nonneg 0.006277 s: finset.sum_pow_mul_eq_add_pow 0.000450 s: fintype.sum_pow_mul_eq_add_pow 0.001318 s: fin.sum_pow_mul_eq_add_pow 0.000408 s: has_sum.nonneg 0.077208 s: formal_multilinear_series.change_origin_summable_aux1 0.035947 s: continuous_multilinear_map.norm_restr 0.178684 s: formal_multilinear_series.change_origin_summable_aux2 0.041905 s: linear_ordered_comm_group.mul_le_mul_left 0.008251 s: linear_ordered_comm_group.to_ordered_comm_group 0.000218 s: linear_ordered_comm_group.to_linear_ordered_cancel_comm_monoid._proof_1 0.000290 s: linear_ordered_comm_group.to_linear_ordered_cancel_comm_monoid._proof_2 0.012553 s: linear_ordered_comm_group.to_linear_ordered_cancel_comm_monoid._proof_3 0.019353 s: linear_ordered_comm_group.to_linear_ordered_cancel_comm_monoid 0.000081 s: complex.sizeof 0.000021 s: complex.has_sizeof_inst 0.000088 s: computability.Γ'.no_confusion_type 0.000288 s: computability.Γ'.no_confusion 0.000087 s: computability.Γ'.bit.inj 0.000040 s: computability.Γ'.bit.inj_arrow 0.004371 s: computability.Γ'.decidable_eq 0.000637 s: is_open_map.continuous_on_range_of_left_inverse 0.001694 s: category_theory.regular_of_is_pushout_snd_of_regular._proof_1 0.001772 s: category_theory.regular_of_is_pushout_snd_of_regular._proof_2 0.002602 s: category_theory.regular_of_is_pushout_snd_of_regular._proof_3 0.004756 s: category_theory.limits.pushout_cocone.is_colimit.desc'._proof_1 0.003676 s: category_theory.limits.pushout_cocone.is_colimit.desc' 0.005564 s: category_theory.regular_of_is_pushout_snd_of_regular._proof_4 0.018825 s: category_theory.regular_of_is_pushout_snd_of_regular._proof_5 0.017944 s: category_theory.regular_of_is_pushout_snd_of_regular 0.000316 s: category_theory.regular_of_is_pushout_fst_of_regular._proof_1 0.000250 s: category_theory.limits.pushout_cocone.flip_is_colimit._proof_2 0.005221 s: category_theory.limits.pushout_cocone.flip_is_colimit._proof_3 0.010415 s: category_theory.limits.pushout_cocone.flip_is_colimit._proof_4 0.007242 s: category_theory.limits.pushout_cocone.flip_is_colimit 0.000302 s: category_theory.regular_of_is_pushout_fst_of_regular._proof_2 0.002172 s: category_theory.regular_of_is_pushout_fst_of_regular 0.000496 s: set.countable.sUnion 0.001292 s: semi_normed_group.of_add_dist'._proof_1 0.000436 s: semi_normed_group.of_add_dist' 0.000571 s: semi_normed_group.of_add_dist'.equations._eqn_1 0.001379 s: units.coe_lt_coe 0.000258 s: has_le.le.is_total.equations._eqn_1 0.000662 s: polynomial.gal.unique_gal_X_sub_C._proof_1 0.000420 s: polynomial.gal.unique_gal_X_sub_C 0.004332 s: turing.TM2to1.tr_stmts₁._main 0.000192 s: turing.TM2to1.tr_stmts₁ 0.002898 s: turing.TM2to1.tr_stmts₁._main.equations._eqn_3 0.000912 s: turing.TM2to1.tr_stmts₁.equations._eqn_3 0.000881 s: category_theory.abelian.pseudoelement.pseudo_zero 0.000126 s: category_theory.abelian.pseudoelement.has_zero 0.002146 s: category_theory.preadditive.mono_of_cancel_zero 0.000912 s: category_theory.preadditive.mono_iff_cancel_zero 0.000266 s: category_theory.abelian.pseudoelement.over_to_sort 0.002204 s: category_theory.over.coe_hom 0.029772 s: category_theory.limits.has_binary_biproduct.of_has_binary_product 0.000564 s: category_theory.limits.has_binary_biproducts.of_has_binary_products 0.006835 s: category_theory.limits.biprod.fst_epi._proof_1 0.001380 s: category_theory.limits.biprod.fst_epi 0.001228 s: category_theory.limits.biprod.snd_epi 0.015842 s: category_theory.abelian.pseudoelement.pseudo_zero_aux 0.003093 s: category_theory.abelian.pseudoelement.pseudo_zero_iff 0.010276 s: category_theory.abelian.pseudoelement.mono_of_zero_of_map_zero 0.001494 s: structomorph.no_confusion_type 0.001368 s: structomorph.no_confusion 0.001767 s: structomorph.mk.inj 0.000480 s: subgroup.to_ordered_comm_group._proof_2 0.007794 s: set.prod_univ_range_eq 0.032153 s: linear_equiv.dual_map_apply 0.000273 s: nonneg_ring.nsmul._default 0.001225 s: category_theory.subobject.top_coe_iso_self 0.000846 s: category_theory.subobject.underlying_iso_id_eq_top_coe_iso_self 0.005826 s: affine_equiv.symm_apply_apply 0.008004 s: affine_equiv.trans_symm 0.000297 s: omega.gcd._main 0.002564 s: ordinal.bsup_type 0.004235 s: turing.TM2to1.tr_normal_run 0.000487 s: ordnode.split3._match_1.equations._eqn_3 0.001597 s: ideal.map_le_of_le_comap 0.001613 s: parser.prog.decorate_errors_iff 0.000286 s: is_simple_lattice.rec_on 0.001804 s: free_comm_ring.restriction.equations._eqn_1 0.000222 s: tactic.mk_mem_name._main 0.000014 s: tactic.mk_mem_name 0.000111 s: tactic.mk_mem_name._main.equations._eqn_1 0.000029 s: tactic.mk_mem_name.equations._eqn_1 0.004925 s: submodule.orthogonal.complete_space.equations._eqn_1 0.005422 s: ordinal.mul_omega_power_power 0.000160 s: parser.many_char 0.003639 s: parser.bounded.foldr 0.000206 s: parser.bounded.many 0.000702 s: parser.bounded.many_char 0.001504 s: category_theory.limits.terminal_comparison.category_theory.is_iso.equations._eqn_1 0.000219 s: computability.encoding.decode 0.000188 s: computability.encoding.decode_encode 0.001975 s: rbnode.ins._main.equations._eqn_3 0.000181 s: set.interval_of_gt 0.001332 s: finset.is_lawful_singleton.equations._eqn_1 0.001427 s: set.Icc.semilattice_inf_bot._proof_7 0.000118 s: ordnode.inter 0.000560 s: ordnode.inter._sunfold 0.001003 s: omega.int.preform.holds._main.equations._eqn_5 0.035293 s: nnreal.comm_group_with_zero.equations._eqn_1 0.007683 s: pgame.move_right_short'.equations._eqn_1 0.000183 s: turing.proj._proof_1 0.000270 s: turing.proj 0.000645 s: turing.list_blank.map_mk 0.002434 s: turing.list_blank.nth_map 0.001254 s: turing.proj_map_nth 0.004730 s: turing.TM2to1.stk_nth_val 0.002093 s: is_coprime.of_add_mul_right_left 0.001497 s: is_coprime.of_mul_add_right_left 0.000123 s: order_dual.complete_linear_order._proof_1 0.000128 s: order_dual.complete_linear_order._proof_2 0.000401 s: order_dual.complete_linear_order._proof_5 0.000284 s: order_dual.complete_linear_order._proof_6 0.000232 s: order_dual.complete_linear_order._proof_8 0.000235 s: order_dual.complete_linear_order._proof_9 0.000394 s: order_dual.complete_linear_order._proof_10 0.000339 s: order_dual.complete_linear_order._proof_11 0.000333 s: order_dual.complete_linear_order._proof_12 0.000296 s: order_dual.complete_linear_order._proof_13 0.000352 s: order_dual.complete_linear_order._proof_14 0.000302 s: order_dual.complete_linear_order._proof_15 0.000427 s: order_dual.complete_linear_order._proof_16 0.000466 s: order_dual.complete_linear_order._proof_17 0.016733 s: order_dual.complete_linear_order 0.131534 s: map_Inf_of_continuous_at_of_monotone 0.000879 s: list.erasep._main.equations._eqn_2 0.000487 s: model_with_corners.symm.equations._eqn_1 0.000107 s: ordinal.nontrivial 0.018922 s: Top.sheaf.mk.inj_eq 0.003291 s: real.Sup_nonpos 0.002929 s: category_theory.limits.pullback_cone.of_cone 0.000713 s: category_theory.limits.pullback_cone.of_cone_X 0.005353 s: add_monoid_hom.comp_assoc 0.000253 s: add_monoid.End.monoid._proof_1 0.000861 s: add_monoid_hom.id_comp 0.000986 s: add_monoid_hom.comp_id 0.001977 s: add_monoid.End.monoid._proof_2 0.001480 s: add_monoid.End.monoid._proof_3 0.003401 s: add_monoid.End.monoid 0.000081 s: add_monoid.End.inhabited 0.000145 s: add_monoid.End.inhabited.equations._eqn_1 0.000459 s: continuous_add_left 0.000356 s: topological_space.compacts.equiv._proof_1 0.003706 s: topological_space.compacts.equiv._proof_2 0.001601 s: topological_space.compacts.equiv 0.001933 s: topological_space.compacts.equiv.equations._eqn_1 0.005065 s: measure_theory.inner_content_comap 0.002670 s: measure_theory.is_add_left_invariant_inner_content 0.000564 s: ennreal.coe_bit1 0.000070 s: primcodable.unit.equations._eqn_1 0.000272 s: list.after._main 0.000229 s: is_trivial_topological_fiber_bundle 0.002569 s: is_trivial_topological_fiber_bundle.is_topological_fiber_bundle 0.004199 s: bounded_continuous_function.coe_fn_add_hom 0.012153 s: bounded_continuous_function.coe_sum 0.000244 s: category_theory.prod_coprod_distrib._proof_18 0.010201 s: category_theory.currying_functor_obj_map 0.001737 s: measure_theory.measure.finite_at_principal 0.045976 s: nnreal.sum_add_tsum_nat_add 0.000227 s: sum.is_left._main 0.000067 s: sum.is_left 0.000210 s: sum.is_left._main.equations._eqn_1 0.000185 s: sum.is_left.equations._eqn_1 0.000225 s: closure_operator.has_coe_to_fun.equations._eqn_1 0.052895 s: linear_ordered_semiring.to_ordered_semimodule.equations._eqn_1 0.023200 s: nat.factorial_dvd_factorial 0.000141 s: nat.factorial_le 0.002034 s: nat.monotone_factorial 0.012645 s: nat.self_le_factorial 0.007917 s: factorial_tendsto_at_top 0.000105 s: monotonicity.imp 0.000452 s: finsupp.single_left_injective 0.000227 s: finsupp.single_left_inj 0.000912 s: mv_polynomial.infinite_of_nonempty 0.000416 s: category_theory.single_obj.map_hom._proof_3 0.005846 s: smooth_finset_sum' 0.004640 s: smooth_finset_sum 0.003882 s: smooth_finsum 0.001409 s: nat.zero_lor 0.000062 s: real.linear_ordered_semiring.equations._eqn_1 0.000766 s: equiv.sigma_congr 0.000294 s: derive_fintype.finset_above.equations._eqn_1 0.001105 s: with_top.bounded_lattice._proof_11 0.000139 s: nonote.preorder._proof_2 0.000105 s: nonote.preorder._proof_3 0.004972 s: nonote.preorder 0.002915 s: nonote.preorder.equations._eqn_1 0.000722 s: inducing.comp 0.000668 s: embedding.comp 0.000744 s: closed_embedding.comp 0.000755 s: is_closed.closed_embedding_subtype_coe 0.098201 s: submodule.closed_of_finite_dimensional 0.153150 s: closed_embedding_smul_left 0.021822 s: ae_measurable_smul_const 0.095815 s: measure_theory.integrable_smul_const 0.277578 s: integral_smul_const 0.000425 s: ae_measurable.to_real 0.228252 s: measure_theory.integral_to_real 0.024025 s: measure_theory.measure.ae_measure_lt_top 0.006539 s: measure_theory.integral_add' 0.002961 s: measure_theory.integral_integral_add' 0.002200 s: measure_theory.lintegral_fn_integral_sub 0.003454 s: measure_theory.L1.has_finite_integral_coe_fn 0.003033 s: measure_theory.L1.of_real_norm_eq_lintegral 0.003973 s: measure_theory.L1.of_real_norm_sub_eq_lintegral 0.007914 s: ennreal.of_real_to_real_le 0.000203 s: ennreal.of_real_le_of_le_to_real 0.001674 s: measure_theory.ennnorm_integral_le_lintegral_ennnorm 0.069296 s: measure_theory.continuous_integral_integral 0.184613 s: measure_theory.integral_prod 0.026157 s: measure_theory.integral_integral 0.005785 s: measure_theory.integral_prod_swap 0.005436 s: measure_theory.integral_prod_symm 0.002476 s: measure_theory.integral_integral_swap 0.000299 s: omega.nat.dnf_core._main.equations._eqn_3 0.000109 s: omega.nat.dnf_core.equations._eqn_3 0.000129 s: seq.has_mem 0.001025 s: stream.exists_of_mem_map 0.002424 s: seq.exists_of_mem_map 0.001722 s: wseq.exists_of_mem_map 0.000164 s: with_bot.order_top._proof_1 0.000371 s: with_bot.order_top._proof_3 0.000332 s: with_bot.order_top._proof_4 0.001085 s: with_bot.order_top._proof_5 0.002678 s: with_bot.order_top 0.001660 s: with_bot.order_top.equations._eqn_1 0.000466 s: cardinal.can_lift_cardinal_nat._match_1 0.000395 s: cardinal.can_lift_cardinal_nat._proof_1 0.001594 s: filter.generate.equations._eqn_1 0.000642 s: int.div._main.equations._eqn_1 0.000079 s: int.div.equations._eqn_1 0.000054 s: decidable_of_decidable_of_eq 0.000088 s: decidable_of_decidable_of_eq.equations._eqn_1 0.000557 s: semidirect_product.inhabited 0.001686 s: semidirect_product.inhabited.equations._eqn_1 0.001407 s: filter.realizer.bind._match_3 0.016879 s: filter.realizer.bind._match_6 0.004078 s: filter.realizer.bind._match_7 0.001627 s: filter.realizer.bind._proof_2 0.002759 s: is_add_group_hom.preimage 0.001662 s: preimage.is_submonoid 0.005441 s: ring_hom.is_subring_preimage 0.035243 s: preimage.is_subfield 0.007898 s: W_type.depth_pos 0.003481 s: _private.4015951977.encodable_zero._match_2 0.001506 s: equiv.fintype.equations._eqn_1 0.008055 s: mv_power_series.trunc_C 0.002477 s: pi.distrib_mul_action'._proof_2 0.000530 s: pi.conditionally_complete_lattice._proof_4 0.000505 s: prod.is_lawful_bifunctor._proof_1 0.000845 s: prod.is_lawful_bifunctor._proof_2 0.000235 s: prod.is_lawful_bifunctor 0.001077 s: order.pfilter.mem_of_le 0.000080 s: plift.map._main 0.000033 s: plift.map 0.000020 s: plift.pure 0.000079 s: plift.seq._main 0.000050 s: plift.seq 0.000075 s: plift.bind._main 0.000038 s: plift.bind 0.000370 s: plift.monad 0.002016 s: plift.is_lawful_monad._match_1 0.000989 s: plift.is_lawful_monad._match_1.equations._eqn_1 0.000088 s: rat.sqrt 0.003755 s: nat.sqrt_eq_zero 0.006546 s: rat.sqrt_nonneg 0.000094 s: rat.sqrt.equations._eqn_1 0.000667 s: rat.mul_num 0.000376 s: rat.mul_self_num 0.000454 s: rat.mul_self_denom 0.000114 s: int.sqrt.equations._eqn_1 0.000357 s: nat.sqrt_eq 0.000986 s: int.sqrt_eq 0.071336 s: rat.abs_def 0.007100 s: rat.sqrt_eq 0.004969 s: rat.exists_mul_self 0.142285 s: rat.cast_nonpos 0.127206 s: irrational_sqrt_rat_iff 0.000236 s: pos_num.lt_iff_cmp 0.055295 s: with_top.canonically_ordered_comm_semiring.equations._eqn_1 0.000098 s: list.take' 0.010979 s: list.take'_length 0.000425 s: ordnode.glue._main.equations._eqn_1 0.003074 s: category_theory.limits.is_colimit.of_π._proof_1 0.001968 s: category_theory.limits.is_colimit.of_π._proof_2 0.008628 s: category_theory.limits.is_colimit.of_π 0.007326 s: category_theory.limits.is_colimit.of_π.equations._eqn_1 0.000102 s: power_series.add_monoid 0.000304 s: normed_group_hom.to_semi_normed_group.equations._eqn_1 0.000513 s: has_inner.is_R_or_C_to_real.equations._eqn_1 0.001823 s: category_theory.category.comp_id' 0.031382 s: set.Ici.bounded_lattice.equations._eqn_1 0.000351 s: prod.is_lawful_bifunctor.equations._eqn_1 0.000031 s: name.has_repr 0.000308 s: tactic.interactive.case_tag.repr._main 0.000681 s: tactic.interactive.case_tag.repr._main.equations._eqn_1 0.000021 s: tactic.simp_config.proj._default 0.000641 s: Module.kernel_iso_ker._proof_1 0.026913 s: Module.kernel_iso_ker 0.000704 s: is_left_distrib 0.000405 s: list.rotate_length 0.000768 s: cast_num._main.equations._eqn_2 0.000250 s: cast_num.equations._eqn_2 0.000547 s: embedding.drec_on 0.000688 s: tactic.merge_list._main 0.000077 s: tactic.merge_list 0.000770 s: tactic.merge_list._main.equations._eqn_1 0.000323 s: tactic.merge_list.equations._eqn_1 0.000308 s: gaussian_int.comm_ring 0.188970 s: exists_add_lt_and_pos_of_lt 0.140056 s: le_of_forall_sub_le 0.013419 s: is_lub.is_glb_of_tendsto 0.013218 s: ennreal.tendsto_coe_sub 0.022226 s: ennreal.sub_supr 0.000794 s: monoid_hom.restrict 0.006385 s: monoid_hom.restrict.equations._eqn_1 0.001654 s: slim_check.gen.elements._match_1 0.001935 s: is_noetherian_submodule' 0.000642 s: gpow._main.equations._eqn_2 0.012395 s: nnreal.rpow_sub 0.000126 s: ADE_inequality.A' 0.000051 s: ADE_inequality.D' 0.000118 s: ADE_inequality.admissible 0.000189 s: ADE_inequality.admissible.equations._eqn_1 0.038563 s: continuous_linear_map.fpower_series_bilinear._main.equations._eqn_4 0.021307 s: continuous_linear_map.fpower_series_bilinear.equations._eqn_4 0.000483 s: subgroup.topological_closure._proof_1 0.000412 s: subgroup.topological_closure._proof_2 0.000100 s: equiv.inv._proof_1 0.000081 s: equiv.inv._proof_2 0.000190 s: equiv.inv 0.000161 s: homeomorph.inv._proof_1 0.000132 s: homeomorph.inv._proof_2 0.001346 s: homeomorph.inv 0.001046 s: inv_closure 0.003518 s: subgroup.inv_coe_set 0.000927 s: subgroup.topological_closure._proof_3 0.001446 s: subgroup.topological_closure 0.003415 s: subgroup.subgroup_topological_closure 0.005108 s: ordnode.bounded.mono_right 0.000360 s: ordnode.valid'.mono_right 0.010098 s: dfinsupp.mk.is_add_group_hom 0.007164 s: nat.coprime.coprime_div_left 0.000080 s: nat.coprime.coprime_div_right 0.000574 s: CommGroup.limit_cone._proof_1 0.000263 s: CommGroup.limit_cone._proof_2 0.000621 s: CommGroup.limit_cone 0.001159 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_1 0.054530 s: CommMon.limit_comm_monoid 0.008422 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_2 0.003373 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_3 0.010492 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_5 8.442576 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_6 4.171489 s: CommMon.category_theory.forget₂.category_theory.creates_limit 0.000358 s: CommMon.limit_cone._proof_1 0.000580 s: CommMon.limit_cone 0.000622 s: CommMon.limit_cone_is_limit 3.042821 s: CommGroup.forget₂_CommMon_preserves_limits_aux 0.000234 s: rat.cast_comm 0.014037 s: times_cont_mdiff_within_at_top 0.022806 s: times_cont_mdiff_on_top 0.010222 s: linear_isometry_equiv.symm_symm 0.000076 s: tactic.decl_reducibility.cases_on 0.006218 s: tactic.decl_reducibility.to_attribute._main 0.000023 s: tactic.decl_reducibility.to_attribute 0.000185 s: tactic.decl_reducibility.to_attribute._main.equations._eqn_2 0.000056 s: tactic.decl_reducibility.to_attribute.equations._eqn_2 0.002049 s: category_theory.limits.colimit.desc.equations._eqn_1 0.001011 s: canonically_ordered_add_monoid.has_exists_add_of_le 0.000364 s: canonically_ordered_add_monoid.has_exists_add_of_le.equations._eqn_1 0.001335 s: slim_check.retry._main.equations._eqn_2 0.000211 s: slim_check.retry.equations._eqn_2 0.000101 s: nonote.cmp 0.000082 s: nonote.cmp.equations._eqn_1 0.000195 s: std_simplex 0.000220 s: std_simplex.equations._eqn_1 0.010842 s: std_simplex_eq_inter 0.000478 s: has_mem.cases_on 0.000269 s: has_mem.no_confusion_type 0.000465 s: has_mem.no_confusion 0.000356 s: has_mem.mk.inj 0.000196 s: has_mem.mk.inj_arrow 0.001287 s: fin.coe_sub_nat 0.001226 s: gpowers_hom_symm_apply 0.000582 s: gpowers_hom_apply 0.001068 s: monoid_hom.apply_mint 0.001212 s: finsupp.sum_map_domain_index_add_monoid_hom 0.099848 s: Module.adj._proof_1 0.049934 s: Module.adj 0.012892 s: Module.mono_iff_injective 0.000556 s: prod.distrib_lattice._proof_9 0.113756 s: perfect_closure.field._proof_16 0.000125 s: znum.has_repr 0.000072 s: pos_num.has_repr 0.000048 s: num.has_repr 0.015535 s: tactic.ring2.horner_expr.to_string._main 0.010492 s: category_theory.structured_arrow.hom_mk_right 0.003382 s: turing.TM2to1.st_act.rec_on 0.021066 s: category_theory.limits.evaluate_combined_cones.equations._eqn_1 0.000491 s: subsemiring.to_ordered_comm_semiring._proof_1 0.000565 s: subsemiring.to_ordered_comm_semiring._proof_2 0.000521 s: subsemiring.to_ordered_comm_semiring._proof_3 0.000646 s: subsemiring.to_ordered_comm_semiring._proof_4 0.000498 s: subsemiring.to_ordered_comm_semiring._proof_5 0.019383 s: subsemiring.to_ordered_comm_semiring 0.004574 s: subalgebra.to_ordered_comm_semiring 0.000735 s: mvfunctor.liftp 0.000166 s: mvfunctor.liftp' 0.000234 s: _private.617357615.f 0.000193 s: _private.1704610749.g 0.029663 s: mvfunctor.liftp_last_pred_iff 0.007291 s: monoid_algebra.comm_semiring.equations._eqn_1 0.000076 s: stream.take 0.000139 s: stream.take.equations._eqn_1 0.040469 s: implicit_function_data.pt_mem_to_local_homeomorph_source 0.001231 s: pos_num.shiftr._main.equations._eqn_5 0.000070 s: pos_num.shiftr.equations._eqn_5 0.014807 s: valuation.map_add_lt 0.001000 s: ring_equiv.integral_domain._proof_1 0.000326 s: ring_equiv.integral_domain._proof_2 0.000686 s: ring_equiv.integral_domain._proof_3 0.009622 s: ring_equiv.integral_domain 0.012398 s: ring_equiv.integral_domain.equations._eqn_1 0.000139 s: generalized_continued_fraction.pair.sizeof 0.000722 s: AddCommMon.has_forget_to_AddMon.equations._eqn_1 0.002792 s: divp_eq_divp_iff 0.001674 s: add_submonoid.multiples_eq_closure 0.000050 s: ADE_inequality.E6 0.000056 s: ADE_inequality.E6.equations._eqn_1 0.000535 s: add_valuation.is_equiv 0.002331 s: valuation.is_equiv.trans 0.000937 s: add_valuation.is_equiv.trans 0.019546 s: irreducible_iff_prime_of_exists_unique_irreducible_factors 0.003595 s: unique_factorization_monoid.of_exists_unique_irreducible_factors 0.000931 s: finset.insert_union_distrib 0.000335 s: set.Icc.semilattice_inf_top._proof_1 0.010906 s: category_theory.pairwise.cocone.equations._eqn_1 0.002953 s: alg_hom.rec_on 0.000050 s: zmod.fintype._main._proof_1 0.000239 s: zmod.fintype._main.equations._eqn_1 0.000163 s: slim_check.list.shrink_one._main._proof_2 0.061831 s: polynomial.pow_sub_pow_factor._main._proof_3 0.018290 s: polynomial.pow_sub_pow_factor._main.equations._eqn_3 0.001471 s: polynomial.pow_sub_pow_factor.equations._eqn_3 0.001040 s: category_theory.functor.sum_obj_inl 0.005740 s: multilinear_map.mk.inj 0.005712 s: multilinear_map.mk.inj_eq 0.001517 s: finsupp.single_apply_mem 0.000504 s: finsupp.range_single_subset 0.000218 s: function.bicompl.bifunctor 0.000285 s: bicompl.bitraverse 0.000363 s: function.bicompl.bitraversable 0.000687 s: bicompl.bitraverse.equations._eqn_1 0.000506 s: traversable.traverse_id 0.000275 s: is_lawful_bitraversable.bitraverse_id_id 0.003167 s: function.bicompl.is_lawful_bitraversable._proof_1 0.002066 s: diffeomorph.coe_to_equiv 0.014729 s: diffeomorph.times_cont_mdiff_on_comp_diffeomorph_iff 0.000226 s: erased.bind._proof_1 0.000249 s: erased.bind 0.000094 s: erased.mk._proof_1 0.000086 s: erased.mk 0.000060 s: erased.map 0.000363 s: erased.monad 0.000470 s: erased.map_def 0.000114 s: set.add_comm_monoid._proof_1 0.000083 s: matrix.equations._eqn_1 0.000167 s: matrix.fintype._proof_1 0.101542 s: _private.849580341.comm_ring_aux₁.equations._eqn_1 0.000341 s: mvpfunctor.mvfunctor_W.equations._eqn_1 0.000091 s: array.nil 0.009290 s: asymptotics.is_O_with_norm_norm 0.000131 s: sequential_space.rec_on 0.000269 s: upper_bounds_Iio 0.000116 s: topological_space.opens.inhabited 0.009566 s: finset.exists_ne_map_eq_of_card_lt_of_maps_to 0.001495 s: fintype.exists_ne_map_eq_of_card_lt 0.000145 s: min_eq_left_of_lt 0.003943 s: list.take_take 0.000241 s: DFA.eval_from_of_append 0.025097 s: DFA.eval_from_split 0.001416 s: is_coprime.of_add_mul_right_right 0.001343 s: is_coprime.of_mul_add_right_right 0.002373 s: is_coprime.mul_add_right_right_iff 0.220997 s: inf_nhds_at_top 0.000147 s: nonempty.congr 0.000220 s: equiv.nonempty_iff_nonempty 0.001058 s: pfunctor.approx.children'._main.equations._eqn_1 0.000727 s: pfunctor.approx.children'.equations._eqn_1 0.028598 s: intermediate_field.adjoin_empty 0.000465 s: equiv.domain._proof_6 0.004307 s: smooth_map_ring._proof_2 0.000181 s: except_t.monad_cont 0.000268 s: except_t.monad_cont.equations._eqn_1 0.004090 s: add_subgroup.has_Inf.equations._eqn_1 0.000489 s: real.continuous_on_tan 0.001758 s: pSet.resp.eval_aux._main._proof_2 0.002142 s: pSet.resp.eval_aux._main._proof_3 0.001084 s: set.inj_on.mem_of_mem_image 0.000617 s: bilin_form.is_pair_self_adjoint.equations._eqn_1 0.000151 s: ordnode.insert_with._match_1 0.000257 s: ordnode.insert_with._match_1.equations._eqn_2 0.000019 s: tactic.list_Pi 0.000046 s: tactic.list_Pi.equations._eqn_1 0.000292 s: category_theory.limits.codiag 0.004868 s: category_theory.limits.coprod.map_codiag 0.002089 s: category_theory.limits.coprod.map_codiag_assoc 0.001113 s: multiset.decidable_dforall_multiset.equations._eqn_1 0.002991 s: subalgebra.sub_mem 0.007161 s: subtype.monoid.equations._eqn_1 0.000035 s: tactic.transparency.instances.inj 0.000025 s: tactic.transparency.instances.inj_arrow 0.008734 s: ctop.realizer.nhds._match_5.equations._eqn_1 0.000262 s: category_theory.mul_zero._proof_1 0.000207 s: category_theory.pow_zero._proof_2 0.000894 s: fin.has_variable_names._proof_1 0.001735 s: cardinal.one_le_one 0.000171 s: witt_vector.sizeof 0.000048 s: witt_vector.has_sizeof_inst 0.025531 s: ideal.is_prime.comap 0.000543 s: prime_spectrum.comap._proof_1 0.002575 s: list.ne_nil_of_length_pos 0.006898 s: list.length_pos_of_ne_nil 0.000105 s: list.length_pos_iff_ne_nil 0.000125 s: nat.bit_ff 0.010938 s: has_deriv_within_at.const_smul 0.001416 s: has_deriv_at.const_smul 0.000447 s: set.card_singleton 0.004907 s: ordinal.cof_zero 0.001777 s: ordinal.cof_eq_zero 0.012092 s: ordinal.cof_succ 0.000512 s: is_cond_left_inv 0.000267 s: is_cond_left_inv.dcases_on 0.002491 s: matrix.reindex_alg_equiv._proof_1 0.000873 s: matrix.reindex_alg_equiv._proof_2 0.001349 s: matrix.reindex_alg_equiv._proof_3 0.001976 s: matrix.reindex_alg_equiv._proof_4 0.006256 s: matrix.minor_smul 0.001737 s: matrix.minor_diagonal 0.001060 s: matrix.minor_one 0.000809 s: matrix.minor_one_equiv 0.025108 s: matrix.reindex_alg_equiv._proof_5 0.014061 s: matrix.reindex_alg_equiv 0.026340 s: matrix.reindex_alg_equiv_refl 0.005550 s: category_theory.unbundled_hom.mk_has_forget₂._proof_1 0.000378 s: AddCommGroup.colimits.colimit.equations._eqn_1 0.000337 s: differentiable_id 0.002748 s: differentiable_neg 0.003130 s: category_theory.lifts_to_colimit.cases_on 0.001135 s: category_theory.lifts_to_colimit.no_confusion_type 0.001509 s: category_theory.lifts_to_colimit.no_confusion 0.001761 s: category_theory.lifts_to_colimit.mk.inj 0.030065 s: pell.dnsq 0.000169 s: zsqrtd.linear_ordered_comm_ring._proof_1 0.000171 s: zsqrtd.linear_ordered_comm_ring._proof_3 0.004012 s: zsqrtd.linear_ordered_comm_ring._proof_4 0.002192 s: zsqrtd.linear_ordered_comm_ring._proof_5 0.001567 s: zsqrtd.linear_ordered_comm_ring._proof_6 0.000664 s: zsqrtd.linear_ordered_comm_ring._proof_7 0.000171 s: zsqrtd.linear_ordered_comm_ring._proof_8 0.000197 s: zsqrtd.linear_ordered_comm_ring._proof_9 0.000156 s: zsqrtd.linear_ordered_comm_ring._proof_10 0.000070 s: zsqrtd.linear_ordered_comm_ring._proof_11 0.000250 s: zsqrtd.linear_ordered_comm_ring._proof_12 0.000276 s: zsqrtd.linear_ordered_comm_ring._proof_13 0.000280 s: zsqrtd.linear_ordered_comm_ring._proof_14 0.000226 s: zsqrtd.linear_ordered_comm_ring._proof_16 0.000111 s: zsqrtd.linear_ordered_comm_ring._proof_17 0.000271 s: zsqrtd.linear_ordered_comm_ring._proof_18 0.000339 s: zsqrtd.linear_ordered_comm_ring._proof_19 0.004909 s: zsqrtd.add_le_add_left 0.011206 s: zsqrtd.linear_ordered_comm_ring._proof_20 0.000073 s: zsqrtd.has_lt 0.004632 s: zsqrtd.divides_sq_eq_zero_z 0.023175 s: zsqrtd.eq_zero_or_eq_zero_of_mul_eq_zero 0.005391 s: zsqrtd.nonneg_iff_zero_le 0.000678 s: zsqrtd.mul_nonneg 0.000690 s: zsqrtd.mul_pos 0.000036 s: zsqrtd.decidable_eq._proof_1 0.000114 s: zsqrtd.decidable_eq._proof_2 0.000195 s: zsqrtd.decidable_eq._proof_3 0.000433 s: zsqrtd.decidable_eq 0.000741 s: zsqrtd.nontrivial 0.000070 s: zsqrtd.linear_ordered_comm_ring._proof_22 0.009142 s: zsqrtd.linear_ordered_comm_ring 0.000125 s: zsqrtd.ordered_semiring 0.004291 s: pell.is_pell_conj 0.002695 s: zsqrtd.le_of_le_le 0.011456 s: sub_lt_sub 0.122475 s: pell.eq_pell_lem 0.000116 s: zsqrtd.of_int_re 0.000108 s: zsqrtd.of_int_im 0.015723 s: zsqrtd.of_int_eq_coe 0.000233 s: zsqrtd.add_def 0.078938 s: zsqrtd.le_arch 0.013172 s: pell.eq_pell_zd 0.000397 s: free_comm_ring.map 0.001143 s: free_comm_ring.map_of 0.026899 s: free_comm_ring.map_subtype_val_restriction 0.000307 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter._main 0.000070 s: right_distributive 0.000145 s: right_distributive.equations._eqn_1 0.000290 s: sup_left_idem 0.000069 s: fp.rmode 0.001142 s: real.inj_on_cos 0.010500 s: inner_product_geometry.angle_sub_eq_angle_sub_rev_of_norm_eq 0.000369 s: ideal.is_primary 0.003564 s: ideal.radical_eq_top 0.006141 s: ideal.is_prime_radical 0.004395 s: uniform_space.completion.add_group.equations._eqn_1 0.000804 s: linear_map.module.End.division_ring._proof_13 0.000645 s: is_max_filter.inf 0.000338 s: is_local_max.inf 0.001170 s: int.neg_succ_mul_neg_succ 0.036779 s: algebraic_closure.adjoin_monic.equations._eqn_1 0.009305 s: rbnode.max._main 0.000930 s: rbnode.max._main.equations._eqn_2 0.000386 s: is_left_null 0.000160 s: is_left_null.drec 0.000033 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.rw 0.002695 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.cases_on 0.000394 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.no_confusion_type 0.000872 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.no_confusion 0.000137 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.rw_0.inj 0.000044 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.rw.inj 0.000116 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.rw.inj_arrow 0.016855 s: category_theory.limits.combine_cocones_ι_app_app 0.006752 s: category_theory.functor.sum_map_inl 0.000305 s: measurable_prod_mk_right 0.000648 s: measurable.of_uncurry_right 0.004047 s: linear_ordered_comm_monoid.cases_on 0.003008 s: linear_ordered_comm_monoid.no_confusion_type 0.004309 s: linear_ordered_comm_monoid.no_confusion 0.003625 s: list.rel_foldl 0.000802 s: mem_right_add_coset_right_add_coset 0.000731 s: computation.not_mem_empty 0.000275 s: monad_io_file_system.get_line 0.000087 s: ring_quot.inhabited 0.001917 s: category_theory.ulift.down_map 0.000050 s: rat.integral_domain.equations._eqn_1 0.004844 s: mul_le_mul_left_of_neg 0.006097 s: mul_lt_mul_left_of_neg 0.001575 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso_hom 0.005306 s: category_theory.limits.is_colimit.comp_cocone_points_iso_of_nat_iso_hom 0.002371 s: category_theory.limits.has_colimit.iso_of_nat_iso_ι_hom 0.000378 s: one_divp 0.000075 s: with_zero.equations._eqn_1 0.000025 s: tactic.suggest.head_symbol_match.to_string 0.000231 s: tactic.suggest.head_symbol_match.to_string._main.equations._eqn_2 0.000042 s: tactic.suggest.head_symbol_match.to_string.equations._eqn_2 0.001459 s: lie_module_hom.has_one._proof_2 0.000166 s: has_monad_lift_t.cases_on 0.000103 s: has_monad_lift_t.no_confusion_type 0.000216 s: has_monad_lift_t.no_confusion 0.000282 s: direct_sum.has_coe_to_fun 0.002073 s: direct_sum.zero_apply 0.000028 s: environment.implicit_infer_kind.inhabited 0.000609 s: option.rel 0.000673 s: option.rel.drec 0.000726 s: measure_theory.integrable_add_measure 0.000359 s: open_subgroup.semilattice_sup_top._proof_8 0.016722 s: subsemiring.closure_union 0.003068 s: 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ennreal.mul_self_lt_top_iff 0.000102 s: slim_check.fin.sampleable._proof_1 0.012288 s: is_lawful_mvfunctor.drec_on 0.000109 s: has_mod.cases_on 0.000082 s: has_mod.no_confusion_type 0.000273 s: has_mod.no_confusion 0.000142 s: has_mod.mk.inj 0.000542 s: turing.TM2to1.tr_supp 0.002557 s: turing.TM2to1.tr_supp.equations._eqn_1 0.000430 s: set.Inter_subset_Inter2 0.006060 s: omega_limit_subset_of_tendsto 0.000550 s: monad_io_net_system 0.000165 s: monad_io_net_system.rec_on 0.000495 s: category_theory.pretopology.partial_order._proof_1 0.001612 s: category_theory.pretopology.partial_order._proof_2 0.000688 s: category_theory.pretopology.partial_order._proof_3 0.002944 s: category_theory.pretopology.ext 0.005141 s: category_theory.pretopology.partial_order._proof_4 0.001971 s: category_theory.pretopology.partial_order 0.000452 s: category_theory.pretopology.order_top._proof_7 0.004196 s: category_theory.monoidal_category.left_assoc_tensor._proof_1 0.019963 s: category_theory.monoidal_category.left_assoc_tensor._proof_2 0.005779 s: category_theory.monoidal_category.left_assoc_tensor 0.006142 s: category_theory.monoidal_category.left_assoc_tensor_map 0.008799 s: subgroup.right_coset_equiv_subgroup._match_2 0.002823 s: subgroup.right_coset_equiv_subgroup._proof_4 0.004135 s: nhds_basis_Ioo' 0.000316 s: mul_hom.no_confusion_type 0.000930 s: mul_hom.no_confusion 0.000832 s: mul_hom.mk.inj 0.006337 s: euclidean_domain.to_principal_ideal_domain._match_1.equations._eqn_1 0.000989 s: category_theory.monoidal_category.left_assoc_tensor_obj 0.006267 s: pseudo_metric_space.induced._match_1.equations._eqn_1 0.000489 s: bilin_form.nondegenerate 0.003189 s: linear_map.linear_equiv_of_ker_eq_bot._proof_1 0.002626 s: linear_map.linear_equiv_of_ker_eq_bot 0.125248 s: bilin_form.to_dual._proof_1 0.101301 s: bilin_form.to_dual._proof_2 0.092494 s: bilin_form.to_lin_apply 0.086979 s: bilin_form.nondegenerate_iff_ker_eq_bot 0.196805 s: bilin_form.to_dual._proof_3 0.249453 s: subspace.module.dual.finite_dimensional 0.221728 s: subspace.dual_findim_eq 0.249947 s: bilin_form.to_dual._proof_4 0.365392 s: bilin_form.to_dual 0.094377 s: bilin_form.symm_comp_of_nondegenerate._proof_1 0.081446 s: bilin_form.symm_comp_of_nondegenerate 0.020963 s: category_theory.shrink_homs.equivalence_counit_iso_inv_app 0.001858 s: ulift.distrib._proof_1 0.003050 s: ulift.distrib._proof_2 0.000202 s: ulift.distrib 0.002992 s: category_theory.limits.reflects_colimit_of_reflects_isomorphisms.equations._eqn_1 0.000027 s: doc_category.attr.inj 0.000037 s: doc_category.attr.inj_eq 0.038962 s: category_theory.sigma.nat_trans.sigma._proof_1 0.012320 s: category_theory.sigma.nat_trans.sigma 0.006674 s: category_theory.sigma.nat_trans.sigma.equations._eqn_1 0.073525 s: algebra.to_matrix_lmul' 0.011057 s: nnreal.summable_nat_add_iff 0.000291 s: filter.eventually.prod_inr 0.000540 s: pow.is_monoid_hom 0.007995 s: submonoid.localization_map.away_map.lift._proof_1 0.002701 s: submonoid.localization_map.away_map.lift 0.002816 s: submonoid.localization_map.away_map.lift_comp 0.016484 s: affine_map.line_map.equations._eqn_1 0.080238 s: dual_pair.eval 0.000208 s: has_inter.cases_on 0.000129 s: has_inter.no_confusion_type 0.000469 s: has_inter.no_confusion 0.000121 s: has_inter.mk.inj 0.000388 s: polynomial.next_coeff_up 0.000282 s: polynomial.next_coeff_up.equations._eqn_1 0.000221 s: category_theory.arrow.equations._eqn_1 0.000715 s: category_theory.prod.swap_obj 0.017920 s: category_theory.prod.braiding._proof_1 0.026887 s: category_theory.prod.braiding._proof_2 0.004970 s: category_theory.prod.braiding._proof_3 0.022525 s: category_theory.prod.braiding._proof_4 0.007423 s: category_theory.prod.braiding 0.010404 s: category_theory.prod.braiding_counit_iso_inv_app 0.022264 s: ideal.is_jacobson_field.equations._eqn_1 0.029077 s: zero_lt_one'' 0.000048 s: as_false 0.000080 s: as_false.equations._eqn_1 0.000194 s: mvpfunctor.drop.equations._eqn_1 0.000106 s: algebraic_geometry.SheafedSpace.sheaf._proof_4 0.010932 s: con.group.equations._eqn_1 0.000244 s: tactic.interactive.case_tag.repr._sunfold 0.000665 s: list.pmap._sunfold 0.000449 s: omega_limit_def 0.005316 s: mem_omega_limit_iff_frequently 0.000194 s: map_cluster_pt.equations._eqn_1 0.000839 s: filter.frequently_map 0.001328 s: map_cluster_pt_iff 0.003626 s: mem_omega_limit_singleton_iff_map_cluster_point 0.096173 s: add_submonoid.comap_inf 0.000217 s: add_semiconj_by.zero_left 0.000209 s: add_commute.zero_left 0.020970 s: finsupp.restrict_dom_apply 0.008084 s: finsupp.restrict_dom_comp_subtype 0.005245 s: finsupp.range_restrict_dom 0.000666 s: finsupp.filter_eq_indicator 0.001081 s: finsupp.single_apply_eq_zero 0.000884 s: finsupp.mem_support_single 0.001725 s: finsupp.filter_single_of_pos 0.001554 s: finsupp.filter_single_of_neg 0.026808 s: finsupp.supported_Union 0.004201 s: nonneg_add_comm_group.sub._default 0.000980 s: nonneg_add_comm_group.sub._default.equations._eqn_1 0.000079 s: has_bot.cases_on 0.001836 s: topological_fiber_bundle_core.local_triv.equations._eqn_1 0.007160 s: pi.conditionally_complete_lattice._match_6 0.008490 s: pi.conditionally_complete_lattice._match_6.equations._eqn_1 0.000819 s: equiv.pnat_equiv_nat._proof_2 0.001212 s: omega.nat.preterm.fresh_index._main.equations._eqn_4 0.000488 s: metric.Hausdorff_dist_comm 0.000352 s: metric.Hausdorff_dist_empty' 0.001763 s: metric.Hausdorff_dist_le_of_inf_dist 0.001545 s: metric.Hausdorff_dist_le_of_mem_dist 0.001396 s: metric.Hausdorff_dist_le_diam 0.014169 s: linear_map.ltensor_id 0.002739 s: deriv_const_mul 0.001408 s: string.iterator.extract_core._main.equations._eqn_2 0.000155 s: string.iterator.extract_core.equations._eqn_2 0.017076 s: continuous_linear_map.extend.equations._eqn_1 0.009176 s: div_neg_iff 0.004232 s: category_theory.monad.id._proof_1 0.004316 s: category_theory.monad.id._proof_2 0.005954 s: category_theory.monad.id._proof_3 0.002328 s: category_theory.monad.id 0.000076 s: category_theory.monad.inhabited 0.000805 s: opposite.no_zero_divisors 0.000323 s: opposite.integral_domain._proof_18 0.011663 s: nat.add_div_le_add_div 0.000399 s: equiv.set.empty._match_1 0.000135 s: equiv.set.empty._proof_1 0.000183 s: equiv.set.empty 0.000142 s: equiv.set.empty.equations._eqn_1 0.002761 s: onote.NF_power_aux._sunfold 0.000191 s: ADE_inequality.admissible_A' 0.005128 s: subgroup.prod_top 0.009157 s: topological_space.opens.open_embedding_of_le 0.009398 s: Top.continuous_prelocal._proof_1 0.001736 s: Top.continuous_prelocal 0.002178 s: Top.continuous_local._proof_1 0.002211 s: set.inclusion_right 0.001111 s: open_embedding.to_local_homeomorph_source 0.002715 s: local_equiv.source_inter_preimage_inv_preimage 0.006492 s: local_homeomorph.source_inter_preimage_inv_preimage 0.003165 s: local_homeomorph.target_inter_inv_preimage_preimage 0.004014 s: local_homeomorph.map_nhds_within_preimage_eq 0.004914 s: local_homeomorph.continuous_within_at_iff_continuous_within_at_comp_right 0.002631 s: local_homeomorph.continuous_at_iff_continuous_at_comp_right 0.000800 s: open_embedding.to_local_homeomorph_target 0.004715 s: open_embedding.continuous_at_iff 0.015332 s: Top.continuous_local._proof_2 0.001321 s: Top.continuous_local 0.001702 s: is_closed_sigma_iff 0.003925 s: is_closed_map_sigma_mk 0.000837 s: is_closed_sigma_mk 0.000087 s: num.has_lt.equations._eqn_1 0.000394 s: geom_sum₂.equations._eqn_1 0.023091 s: commute.geom_sum₂_succ_eq 0.001500 s: geom_sum₂_succ_eq 0.000051 s: turing.to_partrec.code.succ.sizeof_spec 0.009069 s: continuous_map.nontrivial 0.000197 s: fin.has_to_string 0.007832 s: ordered_add_comm_group.cases_on 0.007449 s: ordered_add_comm_group.no_confusion_type 0.000378 s: writer_t.sizeof 0.000129 s: writer_t.has_sizeof_inst 0.000275 s: znum.div._main.equations._eqn_4 0.004185 s: inner_product_space.cases_on 0.000181 s: set.diagonal.equations._eqn_1 0.000715 s: set.mem_diagonal 0.000094 s: mcond 0.000023 s: monad.cond 0.000062 s: monad.cond.equations._eqn_1 0.000065 s: format.color.blue.sizeof_spec 0.009309 s: category_theory.monoidal.Mon_functor_category_equivalence_unit_iso 0.002723 s: regular_space.t2_space._match_3.equations._eqn_1 0.000384 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_1 0.016431 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_3 0.013338 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_4 0.007587 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_5 0.008939 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_6 0.080682 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_7 0.000304 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_8 0.010270 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_9 0.013855 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_10 0.008836 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_11 0.008525 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_12 0.004978 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_13 0.067946 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_14 0.000317 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_15 0.022586 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_18 0.006120 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_19 0.004763 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_20 0.074943 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_21 0.179861 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_22 0.004328 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_23 0.003631 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_24 0.173573 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_25 0.211042 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided._proof_26 0.260207 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided 0.027977 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso._proof_1 0.029631 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso._proof_2 0.016435 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso._proof_3 0.042782 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso._proof_4 0.011752 s: category_theory.eq_to_iso_map 0.583352 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso._proof_5 0.027808 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso 0.018049 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_1 0.021711 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_2 0.014720 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_3 0.021905 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_4 0.088117 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_5 0.088780 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_6 0.227297 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso._proof_7 0.047621 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso 0.885315 s: CommMon_.equiv_lax_braided_functor_punit._proof_1 0.030216 s: CommMon_.equiv_lax_braided_functor_punit 0.007090 s: CommMon_.equiv_lax_braided_functor_punit_counit_iso 0.002053 s: enorm.map_smul_le' 0.004485 s: normed_field.nnnorm_inv 0.144589 s: enorm.map_smul 0.063336 s: enorm.map_zero 0.092705 s: enorm.finite_subspace._proof_1 0.017166 s: enorm.finite_subspace._proof_3 0.006112 s: enorm.finite_subspace 0.001447 s: enorm.emetric_space._proof_1 0.054549 s: enorm.map_neg 0.005735 s: enorm.map_sub_rev 0.002126 s: enorm.emetric_space._proof_2 0.004095 s: enorm.emetric_space._proof_3 0.000668 s: enorm.emetric_space._proof_4 0.003504 s: enorm.emetric_space._proof_5 0.001697 s: enorm.eq_zero' 0.000798 s: enorm.eq_zero_iff 0.004737 s: enorm.emetric_space._proof_6 0.003552 s: enorm.emetric_space 0.001036 s: enorm.map_sub_le 0.011896 s: enorm.finite_subspace.metric_space._proof_1 0.001374 s: enorm.finite_subspace.metric_space._proof_2 0.001457 s: enorm.finite_subspace.metric_space 0.000593 s: enorm.finite_subspace.normed_group._proof_1 0.044345 s: enorm.finite_subspace.normed_group 0.006690 s: enorm.finite_norm_eq 0.167993 s: enorm.finite_subspace.normed_space._proof_1 0.014146 s: measurable_edist 0.000555 s: measure_theory.ae_eq_fun.edist 0.007656 s: measure_theory.ae_eq_fun.edist_self 0.002083 s: measure_theory.ae_eq_fun.emetric_space._proof_1 0.002520 s: measure_theory.ae_eq_fun.edist_comm 0.000432 s: measure_theory.ae_eq_fun.emetric_space._proof_2 0.001178 s: measure_theory.ae_eq_fun.induction_on₃ 0.036127 s: measure_theory.ae_eq_fun.emetric_space._proof_3 0.004359 s: measure_theory.ae_eq_fun.emetric_space._proof_4 0.001639 s: measure_theory.ae_eq_fun.emetric_space._proof_5 0.031292 s: measure_theory.ae_eq_fun.emetric_space._proof_6 0.090621 s: measure_theory.ae_eq_fun.emetric_space._proof_7 0.126328 s: measure_theory.ae_eq_fun.emetric_space._proof_8 0.011177 s: measure_theory.ae_eq_fun.emetric_space 0.019989 s: measure_theory.ae_eq_fun.edist_mk_mk 0.003594 s: measure_theory.ae_eq_fun.edist_mk_mk' 0.001026 s: fp.div_nat_lt_two_pow._main.equations._eqn_2 0.001029 s: category_theory.limits.has_zero_object_of_has_initial_object._proof_1 0.001210 s: category_theory.limits.has_zero_object_of_has_initial_object._proof_2 0.000536 s: category_theory.limits.has_zero_object_of_has_initial_object 0.000621 s: category_theory.limits.has_zero_object_of_has_initial_object.equations._eqn_1 0.000223 s: equiv.perm.perm_unique.equations._eqn_1 0.005713 s: linear_map.comap_le_comap_iff 0.001596 s: submodule.comap_mkq.rel_iso._proof_3 0.000207 s: with_zero.canonically_ordered_add_monoid._proof_2 0.001864 s: subsemiring.mk'.equations._eqn_1 0.036471 s: category_theory.adjunction.core_unit_counit.cases_on 0.027045 s: category_theory.adjunction.core_unit_counit.no_confusion_type 0.025123 s: category_theory.adjunction.core_unit_counit.no_confusion 0.039138 s: category_theory.adjunction.core_unit_counit.mk.inj 0.046674 s: category_theory.adjunction.core_unit_counit.mk.inj_arrow 0.000266 s: field.closure 0.000400 s: field.closure.equations._eqn_1 0.000019 s: simps_cfg.rhs_md._default 0.000342 s: omega.int.neg_elim._main.equations._eqn_7 0.000504 s: measurable_set.univ_pi 0.014373 s: add_equiv.to_AddCommMon_iso._proof_1 0.007443 s: add_equiv.to_AddCommMon_iso._proof_2 0.001342 s: add_equiv.to_AddCommMon_iso 0.003872 s: category_theory.iso.CommMon_iso_to_add_equiv 0.003013 s: add_equiv_iso_AddCommMon_iso._proof_1 0.002804 s: add_equiv_iso_AddCommMon_iso._proof_2 0.000740 s: add_equiv_iso_AddCommMon_iso 0.000851 s: add_equiv_iso_AddCommMon_iso.equations._eqn_1 0.000919 s: with_bot.partial_order.equations._eqn_1 0.001220 s: matrix_equiv_tensor._proof_1 0.101467 s: matrix_equiv_tensor._proof_3 0.123200 s: matrix_equiv_tensor._proof_4 0.114686 s: matrix_equiv_tensor._proof_5 0.135863 s: matrix_equiv_tensor 0.108834 s: matrix_equiv_tensor_apply 0.018648 s: locally_finite.finite_nonempty_inter_compact 0.000895 s: locally_finite.finite_nonempty_of_compact 0.000734 s: locally_finite.finite_of_compact 0.000176 s: locally_finite.fintype_of_compact 0.027872 s: polynomial.alg_hom_eval₂_algebra_map 0.005794 s: AddCommGroup.colimits.prequotient.no_confusion 0.000517 s: AddCommGroup.colimits.prequotient.neg.inj 0.000243 s: AddCommGroup.colimits.prequotient.neg.inj_eq 0.004237 s: fin2.remap_left._main 0.000048 s: fin2.remap_left 0.002354 s: fin2.remap_left._sunfold 0.001848 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_13 0.000694 s: category_theory.limits.coequalizer.iso_target_of_self.equations._eqn_1 0.001160 s: associates.exists_non_zero_rep 0.002395 s: associates.mem_factor_set_some 0.009428 s: associates.dvd_of_mem_factors 0.003478 s: associates.mem_factors'_of_dvd 0.001727 s: associates.mem_factors_of_dvd 0.001338 s: associates.mem_factors_iff_dvd 0.000858 s: nonarchimedean_ring.drec_on 0.000293 s: turing.TM2.stmt.inhabited.equations._eqn_1 0.000192 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.node_0.inj 0.000062 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.node.inj 0.000041 s: tactic.abel.normalize_mode.term.inj_arrow 0.007809 s: _private.3682594343.tmul._proof_1 0.006838 s: _private.3682594343.tmul._proof_2 0.004922 s: _private.3682594343.tmul._proof_3 0.008636 s: multilinear_map.curry_sum_equiv._proof_1 0.005821 s: _private.3682594343.tmul._proof_4 0.009505 s: _private.3682594343.tmul._proof_5 0.008376 s: _private.3682594343.tmul._proof_6 0.011620 s: multilinear_map.curry_sum_equiv._proof_2 0.007805 s: _private.3682594343.tmul._proof_7 0.010696 s: multilinear_map.curry_sum_equiv._proof_3 0.011216 s: _private.3682594343.tmul._proof_8 0.009627 s: multilinear_map.curry_sum_equiv._proof_4 0.007078 s: multilinear_map.curry_sum_equiv._proof_5 0.014294 s: multilinear_map.curry_sum_equiv._proof_6 0.103921 s: multilinear_map.curry_sum_equiv._proof_7 0.000315 s: sum.elim_comp_inl 0.000190 s: sum.elim_comp_inr 0.048285 s: multilinear_map.curry_sum_equiv._proof_10 0.025925 s: multilinear_map.curry_sum_equiv 0.043816 s: _private.3682594343.tmul._proof_9 0.053976 s: _private.3682594343.tmul._proof_10 0.035638 s: _private.3682594343.tmul 0.085286 s: _private.3834296689.tmul_apply 0.091766 s: pi_tensor_product.tmul_equiv._proof_1 0.114938 s: pi_tensor_product.tmul_equiv._proof_2 0.028341 s: pi_tensor_product.tmul_equiv 0.012446 s: pi_tensor_product.tmul_equiv_symm_apply 0.000316 s: locally_constant.add_comm_group._proof_1 0.000186 s: locally_constant.add_comm_group._proof_2 0.000161 s: locally_constant.add_comm_group._proof_3 0.002272 s: locally_constant.add_comm_group._proof_4 0.000377 s: locally_constant.add_comm_group._proof_5 0.000168 s: locally_constant.add_group._proof_1 0.000164 s: locally_constant.add_group._proof_2 0.000129 s: locally_constant.add_group._proof_3 0.000338 s: locally_constant.add_group._proof_4 0.000319 s: locally_constant.add_group._proof_5 0.000395 s: is_locally_constant.neg 0.000163 s: locally_constant.has_neg._proof_1 0.000400 s: locally_constant.has_neg 0.000299 s: is_locally_constant.sub 0.000264 s: locally_constant.has_sub._proof_1 0.000235 s: locally_constant.has_sub 0.000332 s: locally_constant.sub_apply 0.000308 s: locally_constant.neg_apply 0.003342 s: locally_constant.add_group._proof_6 0.007051 s: locally_constant.add_group._proof_7 0.002118 s: locally_constant.add_group 0.000765 s: locally_constant.add_comm_group._proof_6 0.000454 s: locally_constant.add_comm_group._proof_7 0.000205 s: locally_constant.add_comm_group._proof_8 0.016390 s: locally_constant.add_comm_group 0.000870 s: locally_constant.ring._proof_7 0.004648 s: omega_complete_partial_order.continuous_hom.comp_to_fun 0.000105 s: tactic.tidy.cfg.trace_result_prefix._default 0.000534 s: num.decidable_le._main.equations._eqn_1 0.000159 s: num.decidable_le.equations._eqn_1 0.000574 s: add_hom.no_confusion 0.000832 s: add_hom.mk.inj 0.001267 s: add_hom.mk.inj_eq 0.000131 s: parse_result.done.inj_arrow 0.244849 s: module.End.eigenvectors_linear_independent 0.019760 s: free_group.map.mk 0.005543 s: free_group.map.id 0.000342 s: free_group.map.id' 0.000888 s: list.of_fn.equations._eqn_1 0.000371 s: measurable_equiv.sizeof 0.000082 s: measurable_equiv.has_sizeof_inst 0.006445 s: equiv.coe_units_equiv_ne_zero 0.000222 s: circle_deg1_lift.sizeof 0.000903 s: circle_deg1_lift.mk.sizeof_spec 0.000191 s: abstract_completion.compare 0.000516 s: abstract_completion.uniform_continuous_compare 0.000580 s: abstract_completion.compare_coe 0.002100 s: abstract_completion.inverse_compare 0.000340 s: abstract_completion.compare_equiv._proof_1 0.000264 s: abstract_completion.compare_equiv._proof_2 0.000332 s: abstract_completion.compare_equiv 0.000903 s: abstract_completion.uniform_continuous_compare_equiv 0.000311 s: uniform_space.completion.ring._proof_1 0.000230 s: uniform_space.completion.ring._proof_2 0.000144 s: uniform_space.completion.ring._proof_3 0.000866 s: uniform_space.completion.ring._proof_4 0.000717 s: uniform_space.completion.ring._proof_6 0.000874 s: uniform_space.completion.ring._proof_7 0.000268 s: uniform_space.completion.ring._proof_8 0.004197 s: uniform_space.completion.ring._proof_9 0.000159 s: uniform_space.completion.has_one 0.000411 s: uniform_space.completion.coe_one 0.002540 s: uniform_space.completion.ring._proof_10 0.002511 s: uniform_space.completion.ring._proof_11 0.001929 s: uniform_space.completion.ring._proof_12 0.001570 s: uniform_space.completion.ring._proof_13 0.004673 s: uniform_space.completion.ring._proof_14 0.005047 s: uniform_space.completion.ring._proof_15 0.004859 s: uniform_space.completion.ring._proof_16 0.005868 s: uniform_space.completion.ring 0.000244 s: uniform_space.completion.comm_ring._proof_9 0.001846 s: floor_eq_on_Ico 0.060820 s: floor_eq_on_Ico' 0.008005 s: continuous_on_floor 0.040020 s: tendsto_floor_right' 0.013945 s: tendsto_fract_right' 0.000847 s: add_units.ordered_add_comm_group._proof_6 0.002465 s: parser.mono.orelse.equations._eqn_1 0.018162 s: subfield.closure._match_2.equations._eqn_1 0.000037 s: tactic.ring.normalize_mode.SOP.inj 0.000042 s: tactic.ring.normalize_mode.SOP.inj_eq 0.000093 s: nat.has_to_string.equations._eqn_1 0.001241 s: list.to_string._main.equations._eqn_2 0.000368 s: list.to_string.equations._eqn_2 0.000698 s: equiv.alg_equiv._proof_2 0.000103 s: ordered_add_comm_monoid.lt._default 0.000054 s: canonically_ordered_add_monoid.lt._default 0.000042 s: canonically_ordered_comm_semiring.lt._default 0.000140 s: canonically_ordered_comm_semiring.lt._default.equations._eqn_1 0.000322 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_1 0.000463 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_2 0.000232 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_3 0.000090 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_4 0.000149 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_5 0.000138 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout._proof_6 0.003478 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout 0.005562 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout_cofork._proof_1 0.000909 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.biproduct_to_pushout_cofork 0.001310 s: category_theory.abelian.mono_is_kernel_of_cokernel._proof_1 0.002805 s: category_theory.abelian.mono_is_kernel_of_cokernel 0.000889 s: category_theory.limits.biprod.mono_lift_of_mono_right 0.001449 s: category_theory.preadditive.has_neg.neg.category_theory.mono 0.009684 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.is_colimit_biproduct_to_pushout._proof_1 0.001394 s: category_theory.limits.biprod.inl_desc_assoc 0.001244 s: category_theory.limits.biprod.inr_desc_assoc 0.028653 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.is_colimit_biproduct_to_pushout._proof_2 0.040391 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.is_colimit_biproduct_to_pushout._proof_3 0.019658 s: category_theory.abelian.biproduct_to_pushout_is_cokernel.is_colimit_biproduct_to_pushout 0.023958 s: category_theory.abelian.mono_pushout_of_mono_g 0.033543 s: category_theory.abelian.mono_pushout_of_mono_g.equations._eqn_1 0.000169 s: ring_hom.has_sizeof_inst 0.003696 s: algebra.sizeof 0.000126 s: algebra.has_sizeof_inst 0.042088 s: Module.limit_add_comm_group.equations._eqn_1 0.000300 s: CommRing.colimits.prequotient.zero.sizeof_spec 0.000434 s: bilin_form_of_real_inner._proof_3 0.000091 s: quiver.sizeof 0.001601 s: AddCommGroup.image 0.048051 s: AddCommGroup.image.ι 0.008248 s: AddCommGroup.image.ι.category_theory.mono 0.004548 s: AddCommGroup.image.ι.category_theory.mono.equations._eqn_1 0.000523 s: uniform_space.core.rec_on 0.000864 s: pequiv.coe_mk_apply 0.000069 s: witt_vector.tail 0.000137 s: witt_vector.tail.equations._eqn_1 0.002483 s: category_theory.limits.is_image.fac_lift 0.002003 s: category_theory.limits.is_image.e_iso_ext_hom 0.015117 s: category_theory.strong_epi_comp 0.002447 s: category_theory.limits.strong_epi_of_strong_epi_mono_factorisation 0.001066 s: category_theory.limits.strong_epi_factor_thru_image_of_strong_epi_mono_factorisation 0.000432 s: category_theory.limits.has_strong_epi_images_of_has_strong_epi_mono_factorisations 0.013191 s: finset.centroid_eq_centroid_image_of_inj_on 0.004460 s: finset.centroid_eq_of_inj_on_of_image_eq 0.005486 s: injective_of_affine_independent 0.002012 s: affine.simplex.centroid_eq_of_range_eq 0.088756 s: affine.simplex.eq_circumcenter_of_dist_eq 0.103223 s: affine.simplex.circumcenter_eq_of_range_eq 0.219646 s: affine.simplex.monge_point_eq_of_range_eq 0.000113 s: list.kextract 0.025376 s: uniform_space.uniform_continuous_quotient_lift₂ 0.001561 s: simple_graph.neighbor_finset_eq_filter 0.002537 s: simple_graph.adj_matrix_dot_product 0.001357 s: simple_graph.adj_matrix_mul_vec_apply 0.000338 s: simple_graph.degree.equations._eqn_1 0.001602 s: simple_graph.adj_matrix_mul_vec_const_apply 0.000473 s: inv_eq_one' 0.093118 s: smooth_bump_covering.is_subordinate.equations._eqn_1 0.011884 s: filter.frequently_true_iff_ne_bot 0.011341 s: matrix.dot_product_diagonal' 0.001849 s: matrix.vec_mul_diagonal 0.003042 s: matrix.vec_mul_one 0.000275 s: ctop.realizer.cases_on 0.000189 s: ctop.realizer.no_confusion_type 0.000707 s: ctop.realizer.no_confusion 0.000504 s: ctop.realizer.mk.inj 0.002257 s: ctop.realizer.mk.inj_eq 0.001032 s: add_left_cancel_monoid.rec_on 0.007919 s: equiv.perm.is_cycle.gpowers_equiv_support_apply 0.003114 s: additive.topological_add_group 0.001380 s: additive.topological_add_group.equations._eqn_1 0.000285 s: set.has_vsub.equations._eqn_1 0.006829 s: typevec.append_fun_inj 0.005369 s: uniform_embedding_def' 0.005089 s: metric.uniform_embedding_iff 0.002613 s: metric.uniform_embedding_iff' 0.000431 s: le_compl_of_le_compl 0.000235 s: le_compl_iff_le_compl 0.000602 s: continuous.integrable_on_compact 0.001265 s: continuous.integrable_of_compact_closure_support 0.000966 s: simple_graph.matching.disjoint 0.305064 s: hyperreal.infinite_pos_mul_of_infinite_neg_not_infinitesimal_neg 0.238953 s: hyperreal.infinite_neg_mul_of_infinite_neg_not_infinitesimal_pos 0.061208 s: hyperreal.infinite_mul_of_infinite_not_infinitesimal 0.000243 s: order.ideal.is_prime.to_is_proper 0.006635 s: list.mem_iota 0.000094 s: zsqrtd.semigroup.equations._eqn_1 0.028647 s: finset.mul_card_image_le_card_of_maps_to 0.010493 s: category_theory.limits.is_limit.of_faithful.equations._eqn_1 0.002624 s: times_cont_mdiff_map.const.equations._eqn_1 0.007999 s: witt_vector.sub_coeff 0.004094 s: Mon_Type_equivalence_Mon._proof_4 0.002415 s: mdifferentiable_within_at_id 0.002949 s: turing.TM2.stmts₁._main.equations._eqn_5 0.000103 s: PartialOrder.of 0.000102 s: PartialOrder.of.equations._eqn_1 0.001829 s: measure_theory.restrict.finite_measure.equations._eqn_1 0.000165 s: int.le_neg_add_of_add_le 0.000830 s: stream.nats_eq 0.017105 s: add_equiv.to_multiplicative._proof_8 0.000358 s: set.finite_range_ite 0.005666 s: complete_linear_order.sizeof 0.000061 s: complete_linear_order.has_sizeof_inst 0.002132 s: finset.attach_map_val 0.000330 s: equiv_shrink.equations._eqn_1 0.000305 s: lie_algebra.is_nilpotent 0.025310 s: lie_algebra.ad 0.004478 s: lie_module.is_nilpotent.dcases_on 0.000083 s: function.commute.iterate_self 0.005057 s: linear_map.pow_apply 0.002340 s: lie_module.lower_central_series_succ 0.007927 s: lie_submodule.lie_mem_lie 0.046461 s: lie_module.iterate_to_endomorphism_mem_lower_central_series 0.051876 s: lie_module.nilpotent_endo_of_nilpotent_module 0.030351 s: lie_algebra.nilpotent_ad_of_nilpotent_algebra 0.000106 s: cc_config.ignore_instances 0.000179 s: has_orelse.cases_on 0.000207 s: has_orelse.no_confusion_type 0.000383 s: has_orelse.no_confusion 0.000295 s: open_add_subgroup.has_coe_add_subgroup.equations._eqn_1 0.000358 s: category_theory.limits.has_strong_epi_mono_factorisations.dcases_on 0.020056 s: real.volume_Iio 0.000277 s: monad_run.run 0.000269 s: reader_t.monad_run 0.004393 s: parser.static.mmap'._sunfold 0.006235 s: category_theory.prod.associator._proof_1 0.004895 s: category_theory.prod.associator._proof_2 0.006591 s: category_theory.prod.associator 0.004874 s: category_theory.prod.associator_map 0.000269 s: znum.decidable_lt._sunfold 0.003408 s: linear_ordered_add_comm_monoid.rec_on 0.000346 s: category_theory.unbundled_hom.sizeof 0.000296 s: homeomorph.refl_to_local_homeomorph 0.000662 s: monoid_hom.iterate_map_pow 0.003280 s: add_monoid_hom.iterate_map_smul 0.000314 s: category_theory.limits.has_zero_object.rec_on 0.000184 s: add_submonoid.to_submonoid._proof_1 0.008561 s: add_submonoid.to_submonoid._proof_3 0.009425 s: add_submonoid.to_submonoid._proof_4 0.013231 s: add_submonoid.to_submonoid._proof_5 0.009150 s: add_submonoid.to_submonoid 0.000214 s: submonoid.to_add_submonoid' 0.041661 s: add_subgroup.to_subgroup._proof_8 0.000600 s: category_theory.limits.types.image.inhabited._proof_1 0.000438 s: category_theory.limits.types.image.inhabited 0.000500 s: finset.erase_val 0.009769 s: edist_le_range_sum_of_edist_le 0.000126 s: omega.ee_state.no_confusion_type 0.000423 s: omega.ee_state.no_confusion 0.000199 s: omega.ee_state.mk.inj 0.000129 s: omega.ee_state.mk.inj_arrow 0.001200 s: category_theory.limits.sigma.map 0.000223 s: category_theory.graded_object.total._proof_2 0.000095 s: category_theory.graded_object.total._proof_3 0.006086 s: category_theory.graded_object.total._proof_4 0.002109 s: category_theory.limits.ι_colim_map_assoc 0.009586 s: category_theory.graded_object.total._proof_5 0.002508 s: category_theory.graded_object.total 0.003745 s: category_theory.limits.split_mono_sigma_ι._proof_1 0.000935 s: category_theory.limits.split_mono_sigma_ι 0.010995 s: category_theory.graded_object.total.category_theory.faithful 0.000412 s: int.lxor._main.equations._eqn_1 0.000739 s: lucas_lehmer.int.coe_nat_pow_pred 0.000789 s: lucas_lehmer.int.coe_nat_two_pow_pred 0.035534 s: category_theory.limits.cocones.whiskering_equivalence._proof_1 0.122918 s: category_theory.limits.cocones.whiskering_equivalence._proof_2 0.161054 s: category_theory.limits.cocones.whiskering_equivalence._proof_4 0.496783 s: category_theory.limits.cocones.whiskering_equivalence._proof_5 0.062747 s: category_theory.limits.cocones.whiskering_equivalence 0.007744 s: category_theory.limits.cocones.equivalence_of_reindexing 0.007891 s: category_theory.limits.cocone.whisker_ι 0.010410 s: category_theory.equivalence.inv_fun_id_assoc_inv_app 0.043805 s: category_theory.limits.is_colimit.cocone_points_iso_of_equivalence._proof_1 0.047295 s: category_theory.limits.is_colimit.cocone_points_iso_of_equivalence._proof_2 0.017657 s: category_theory.limits.is_colimit.cocone_points_iso_of_equivalence 0.000165 s: int.rem._main 0.004397 s: int.rem._main.equations._eqn_4 0.000680 s: option.decidable_eq._main._proof_1 0.000266 s: option.decidable_eq._main.equations._eqn_1 0.086827 s: differentiable_within_at.norm_square 0.000571 s: fin_enum.psigma.fin_enum_prop_right._match_4 0.000089 s: sum.sizeof 0.000088 s: sum.has_sizeof 0.000179 s: sum.sizeof.equations._eqn_1 0.000411 s: sum.sizeof._main.equations._eqn_2 0.000158 s: sum.sizeof.equations._eqn_2 0.023093 s: slim_check.sum.shrink._main 0.005764 s: slim_check.sum.shrink._main._proof_2 0.001932 s: slim_check.sum.shrink._main.equations._eqn_2 0.000108 s: fin.insert_nth'._proof_1 0.000385 s: fin.is_le 0.008002 s: fin.insert_nth'._proof_2 0.008748 s: fin.pos_iff_ne_zero 0.006178 s: fin.pred_above_zero 0.001999 s: fin.le_cast_succ_iff 0.007767 s: fin.insert_nth'._proof_3 0.002741 s: fin.insert_nth' 0.002339 s: fin.insert_nth._main 0.000156 s: fin.insert_nth 0.002304 s: fin.cast_succ_zero 0.009402 s: fin.forall_iff_succ_above 0.000299 s: fin.insert_nth._main._proof_1 0.001357 s: fin.insert_nth._main.equations._eqn_1 0.000230 s: fin.insert_nth.equations._eqn_1 0.005852 s: fin.insert_nth._main.equations._eqn_2 0.001543 s: fin.insert_nth.equations._eqn_2 0.003216 s: fin.insert_nth'.equations._eqn_1 0.014489 s: fin.insert_nth_apply_same 0.000859 s: fin.succ_above_lt_ge 0.001977 s: fin.succ_above_lt_iff 0.012515 s: fin.insert_nth_apply_succ_above 0.003492 s: fin.insert_nth_le_iff 0.005699 s: ring_hom.eq_on_set_closure 0.000287 s: list.mfoldr_with_index 0.000544 s: list.mfoldr_with_index.equations._eqn_1 0.000241 s: equiv.arrow_punit_equiv_punit._proof_1 0.000116 s: equiv.arrow_punit_equiv_punit._proof_2 0.000269 s: equiv.arrow_punit_equiv_punit 0.001388 s: cardinal.one_power 0.005276 s: equiv.perm.cycle_factors_aux._match_1._proof_1 0.002212 s: parser.err_static.mmap._main.equations._eqn_2 0.000028 s: omega.int.preform.valid 0.000044 s: omega.int.preform.valid.equations._eqn_1 0.003357 s: bilin_form.comp.equations._eqn_1 0.000140 s: Top.presheaf.sheafify._proof_1 0.006718 s: Top.presheaf.sheafify.is_germ._match_1 0.004764 s: Top.presheaf.sheafify.is_germ._proof_1 0.002176 s: Top.presheaf.sheafify.is_germ 0.000338 s: Top.presheaf.sheafify.is_locally_germ 0.000279 s: Top.presheaf.sheafify 0.001725 s: Top.stalk_to_fiber._proof_1 0.000334 s: Top.stalk_to_fiber._proof_2 0.010136 s: Top.stalk_to_fiber._proof_3 0.012729 s: Top.stalk_to_fiber 0.000377 s: Top.presheaf.stalk_to_fiber 0.104387 s: topological_space.open_nhds.opens_nhds_hom_has_coe_to_fun._proof_1 0.017005 s: topological_space.open_nhds.opens_nhds_hom_has_coe_to_fun 0.013408 s: Top.stalk_to_fiber.equations._eqn_1 0.002158 s: category_theory.limits.types.colimit_sound 0.149527 s: Top.stalk_to_fiber_injective 0.138375 s: Top.presheaf.stalk_to_fiber_injective 0.122750 s: Top.stalk_to_fiber_germ 0.017718 s: Top.stalk_to_fiber_surjective 0.007245 s: Top.prelocal_predicate.sheafify_of 0.014553 s: Top.presheaf.stalk_to_fiber_surjective 0.000511 s: Top.presheaf.sheafify_stalk_iso._proof_1 0.000444 s: Top.presheaf.sheafify_stalk_iso 0.000400 s: Top.presheaf.sheafify_stalk_iso.equations._eqn_1 0.002269 s: vector3.rec_on_cons 0.006216 s: category_theory.functor.map_biproduct.equations._eqn_1 0.001517 s: vector.take._main 0.000151 s: vector.take 0.000662 s: vector.take._main._proof_1 0.000632 s: vector.take._main.equations._eqn_1 0.000438 s: vector.take.equations._eqn_1 0.001496 s: category_theory.equiv_of_fully_faithful_apply 0.002859 s: category_theory.iso.hom_congr_symm 0.000450 s: category_theory.iso.refl_symm 0.000191 s: category_theory.iso.refl_inv 0.000239 s: category_theory.iso.symm_inv 0.001134 s: category_theory.equiv_of_fully_faithful_symm_apply 0.055160 s: category_theory.adjunction.restrict_fully_faithful._proof_1 0.060302 s: category_theory.adjunction.restrict_fully_faithful._proof_2 0.014322 s: category_theory.adjunction.restrict_fully_faithful 0.021934 s: category_theory.mono_over.map_pullback_adj 0.045516 s: category_theory.unit_is_iso_of_L_fully_faithful 0.016361 s: category_theory.mono_over.full_map._proof_1 0.020973 s: category_theory.mono_over.full_map._proof_2 0.009762 s: category_theory.mono_over.full_map 0.001107 s: category_theory.mono_over.faithful_map 0.000987 s: category_theory.mono_over.pullback_map_self._proof_1 0.001565 s: category_theory.mono_over.pullback_map_self 0.001893 s: category_theory.mono_over.pullback_map_self.equations._eqn_1 0.000147 s: cc_config.cases_on 0.000073 s: cc_config.no_confusion_type 0.000346 s: cc_config.no_confusion 0.000279 s: cc_config.mk.inj 0.000211 s: cc_config.mk.inj_arrow 0.000354 s: turing.TM2.cfg.rec_on 0.000841 s: update_le_iff 0.002553 s: update_le_update_iff 0.131518 s: has_deriv_at.sqrt 0.101237 s: deriv_sqrt 0.001158 s: order.ideal.mk.sizeof_spec 0.000183 s: semiquot.pure.equations._eqn_1 0.011423 s: slim_check.test_result.to_string._main 0.000065 s: slim_check.test_result.to_string 0.000241 s: tactic.ring2.horner_expr.add_aux._sunfold 0.000052 s: empty.subsingleton 0.001261 s: ordinal.zero_eq_type_empty 0.002993 s: ordinal.lift_zero 0.000188 s: ordinal.zero_eq_lift_type_empty 0.000178 s: tactic.rewrite_search.dir_pair.sizeof 0.000129 s: tactic.rewrite_search.dir_pair.mk.sizeof_spec 0.002534 s: mul_equiv.subgroup_congr._proof_2 0.000156 s: free_algebra.pre.has_scalar 0.000156 s: free_algebra.pre.has_scalar.equations._eqn_1 0.000573 s: pi.has_involutive_star._proof_1 0.000564 s: pi.has_involutive_star 0.003745 s: pi.star_monoid._proof_1 0.000308 s: pi.star_monoid 0.000238 s: seq1.map._main 0.000038 s: seq1.map 0.000094 s: seq1.bind 0.000411 s: seq1.monad 0.000308 s: seq1.map._main.equations._eqn_1 0.000261 s: seq1.map.equations._eqn_1 0.000103 s: stream.map_id 0.001433 s: seq.map_id 0.001111 s: seq1.map_id 0.000110 s: seq1.bind.equations._eqn_1 0.002084 s: seq1.ret_bind 0.000235 s: stream.map_map 0.002278 s: seq.map_comp 0.002618 s: seq1.bind_ret 0.008090 s: seq.map_append 0.007187 s: seq1.map_join' 0.004034 s: seq1.map_join 0.010391 s: seq1.bind_assoc 0.037610 s: seq1.is_lawful_monad 0.006724 s: add_monoid_hom.range_eq_map 0.004063 s: add_subgroup.map_map 0.001579 s: add_monoid_hom.map_range 0.002728 s: category_theory.pi.eval.equations._eqn_1 0.000253 s: cardinal.lt_ord_succ_card 0.005071 s: rat.mul._sunfold 0.000020 s: tactic.itauto.prop.iff 0.000058 s: num.of_znum._main 0.000045 s: num.of_znum 0.000095 s: num.of_znum._main.equations._eqn_1 0.000019 s: num.of_znum.equations._eqn_1 0.000347 s: CommRing.colimits.prequotient.mul.inj_arrow 0.001906 s: pi.mul_zero_one_class._proof_1 0.001572 s: pi.mul_zero_one_class._proof_2 0.001590 s: pi.mul_zero_one_class._proof_3 0.001176 s: pi.mul_zero_one_class._proof_4 0.000580 s: pi.mul_zero_one_class 0.000255 s: turing.blank_extends.above._proof_1 0.000560 s: turing.blank_extends.above._proof_2 0.000322 s: turing.blank_extends.above 0.000649 s: turing.blank_extends.above.equations._eqn_1 0.001204 s: lie_ring_module.cases_on 0.000705 s: lie_ring_module.no_confusion_type 0.000971 s: lie_ring_module.no_confusion 0.077456 s: adic_completion.ext 0.021410 s: submodule.smul_induction_on 0.170917 s: adic_completion.is_Hausdorff 0.192000 s: adic_completion.is_Hausdorff.equations._eqn_1 0.027696 s: ulift.comm_group._proof_8 0.023215 s: is_R_or_C.conj_to_complex 0.000128 s: AddMon.of.equations._eqn_1 0.011459 s: complete_linear_order.rec_on 0.002684 s: category_theory.adjunction.right_adjoint_of_equiv_map 0.000331 s: category_theory.subobject.complete_semilattice_Sup._proof_3 0.004739 s: padic_int.integral_domain.equations._eqn_1 0.000851 s: equiv_iso_iso_inv 0.001312 s: filter.tendsto.Icc 0.001471 s: category_theory.differential_object.cases_on 0.001809 s: ennreal.rpow_pos_of_nonneg 0.042579 s: ennreal.rpow_pos 0.009541 s: function.injective.linear_ordered_semiring._proof_10 0.000069 s: ordering.decidable_eq._match_3._proof_2 0.001583 s: nat.partrec.rec_on 0.000434 s: list.mbfind'._match_1 0.000616 s: list.mbfind'._main 0.000153 s: list.mbfind' 0.000910 s: list.mbfind'._main.equations._eqn_2 0.000326 s: list.mbfind'.equations._eqn_2 0.004397 s: dense_sInter_of_Gδ 0.000721 s: dense_Inter_of_Gδ 0.001600 s: dense_bInter_of_Gδ 0.003393 s: category_theory.transfer_nat_trans_self_iso.equations._eqn_1 0.000225 s: nat.repeat._main 0.000036 s: nat.repeat 0.000337 s: nat.repeat._main.equations._eqn_1 0.000071 s: nat.repeat.equations._eqn_1 0.000072 s: parser.static.foldr_core 0.021191 s: parser.unfailing.foldr_core_of_static 0.018973 s: parser.unfailing.foldr_core_of_static.equations._eqn_1 0.003455 s: add_con.pi._proof_2 0.000400 s: list.last'._main.equations._eqn_1 0.000236 s: locally_constant.has_zero.equations._eqn_1 0.021391 s: submodule.smul_bot 0.033363 s: ideal.mul_bot 0.008092 s: ideal.mul_mem_mul_rev 0.001641 s: ideal.mul_comm 0.008129 s: ideal.mul_eq_bot 0.106440 s: ideal.no_zero_divisors 0.120444 s: ideal.no_zero_divisors.equations._eqn_1 0.000089 s: pos_num.nat_size._sunfold 0.016476 s: filter.mem_bind_sets 0.004213 s: filter.bind_inf_principal 0.010926 s: nhds_bind_nhds 0.000782 s: nhds_bind_nhds_within 0.007460 s: eventually_nhds_nhds_within 0.000234 s: topological_space.separable_space.drec_on 0.013621 s: truncated_witt_vector.comm_ring.equations._eqn_1 0.011054 s: complex.norm_sq_neg 0.010689 s: complex.norm_sq_sub 0.000093 s: equiv.sigma_subtype_equiv_of_subset._proof_1 0.000266 s: tactic.ring2.horner_expr.horner'._match_1.equations._eqn_1 0.456928 s: direct_sum.grade_zero.comm_ring._proof_6 0.003495 s: pi_Lp.norm_eq_of_nat 0.071010 s: real.sqrt_eq_rpow 0.077368 s: pi_Lp.norm_eq_of_L2 0.015483 s: euclidean_space.norm_eq 0.001844 s: inv_of_pos 0.005260 s: inv_of_nonpos 0.001461 s: mk_iff.list_option_merge._main.equations._eqn_2 0.000391 s: mk_iff.list_option_merge.equations._eqn_2 0.004446 s: subtype_val.is_add_monoid_hom 0.007151 s: subtype_val.is_add_group_hom 0.000310 s: computation.parallel.aux1._match_1 0.000416 s: computation.parallel.aux1._match_1.equations._eqn_3 0.000183 s: free_add_monoid.map._proof_1 0.002368 s: witt_vector.init_add_tail 0.015600 s: Meas.Giry._match_1.equations._eqn_1 0.006064 s: nat.cast_le_one 0.000421 s: ring_invo.has_coe_to_ring_equiv 0.004901 s: add_monoid_hom.lift_of_right_inverse.equations._eqn_1 0.000557 s: equiv.arrow_arrow_equiv_prod_arrow.equations._eqn_1 0.003683 s: seq.mem_rec_on 0.001540 s: wseq.mem_rec_on 0.000257 s: wseq.nth.equations._eqn_1 0.000250 s: wseq.head.equations._eqn_1 0.001262 s: wseq.head_cons 0.001251 s: wseq.drop._main.equations._eqn_2 0.000129 s: wseq.drop.equations._eqn_2 0.006103 s: wseq.dropn_cons 0.001200 s: wseq.dropn_think 0.000810 s: wseq.head_think 0.001366 s: wseq.exists_nth_of_mem 0.004093 s: library_note._1154603748 0.000229 s: turing.tape.sizeof 0.000956 s: turing.tape.mk.sizeof_spec 0.000055 s: pempty.rec_on 0.013632 s: category_theory.pullback_singleton 0.000579 s: cauchy_seq_of_summable_dist 0.000333 s: one_one_reducible.mk 0.000116 s: semiquot.partial_order._proof_1 0.000262 s: semiquot.partial_order._proof_2 0.000102 s: semiquot.partial_order._proof_3 0.003550 s: semiquot.partial_order._proof_4 0.001236 s: semiquot.partial_order 0.001148 s: semiquot.partial_order.equations._eqn_1 0.000882 s: parser.static.map 0.000620 s: parser.static.seq 0.003074 s: fin.le_cons 0.002347 s: fin.cons_le 0.000861 s: Gromov_Hausdorff.GH_space.has_dist 0.000161 s: Gromov_Hausdorff.GH_dist 0.000408 s: path_connected_space 0.000053 s: path_component_in 0.000059 s: is_path_connected 0.000078 s: path_connected_space.nonempty 0.000451 s: joined_in.equations._eqn_1 0.000139 s: exists_true_iff_nonempty 0.000098 s: joined.equations._eqn_1 0.001362 s: joined_in_univ 0.000062 s: path_connected_space.joined 0.001395 s: joined_in.mem 0.000120 s: joined_in.source_mem 0.000071 s: joined_in.target_mem 0.000267 s: joined_in.some_path 0.000462 s: joined_in.some_path_mem 0.002139 s: joined_in.joined_subtype 0.000504 s: path.map._proof_1 0.000660 s: path.map._proof_2 0.000381 s: path.map 0.000648 s: path.map_coe 0.002803 s: joined_in_iff_joined 0.000723 s: joined_in.trans 0.000340 s: joined_in.symm 0.000396 s: is_path_connected.joined_in 0.000976 s: path_connected_space_iff_univ 0.000988 s: is_path_connected_iff_eq 0.000085 s: path_component_in.equations._eqn_1 0.001916 s: path_component_in_univ 0.000928 s: path_connected_space_iff_eq 0.005535 s: category_theory.mono_over.mk'_arrow_iso._proof_1 0.002049 s: category_theory.mono_over.mk'_arrow_iso 0.001889 s: homeomorph.shear_mul_right.equations._eqn_1 0.001014 s: eq_mul_of_mul_inv_eq 0.003191 s: submonoid.powers_subset 0.000852 s: submonoid.mrange_inl' 0.003250 s: continuous_linear_map.pi.equations._eqn_1 0.006046 s: list.nodupkeys_join 0.001905 s: measure_theory.norm_set_integral_le_of_norm_le_const 0.001499 s: turing.TM1to0.tr_aux._main.equations._eqn_2 0.004562 s: nat.not_exists_sq 0.002565 s: pgame.add_zero_relabelling._main.equations._eqn_1 0.000230 s: except_t.bind_cont._sunfold 0.001612 s: equiv.prod_congr_right._proof_1 0.001686 s: equiv.prod_congr_right._proof_2 0.000421 s: equiv.prod_congr_right 0.000458 s: equiv.sigma_congr_right_apply 0.000426 s: equiv.prod_congr_right_apply 0.004371 s: equiv.sigma_equiv_prod_sigma_congr_right 0.000589 s: nat.odd_mul 0.000059 s: nat.odd.mul 0.000571 s: multiset.add.equations._eqn_1 0.000074 s: ordnode.find_min'._sunfold 0.001738 s: category_theory.thin_skeleton.map₂._match_1.equations._eqn_1 0.001842 s: filter.inf_map_at_top_ne_bot_iff 0.000825 s: filter.exists_lt_of_tendsto_at_top 0.019580 s: filter.high_scores 0.007188 s: filter.frequently_high_scores 0.000929 s: filter.strict_mono_subseq_of_tendsto_at_top 0.000563 s: strict_mono.id_le 0.000567 s: filter.strict_mono_tendsto_at_top 0.010798 s: filter.is_countably_generated.subseq_tendsto 0.000356 s: topological_space.first_countable_topology.tendsto_subseq 0.007467 s: is_compact.is_seq_compact 0.000101 s: first_countable_topology.seq_compact_of_compact 0.000112 s: turing.TM2.stmts₁ 0.000639 s: turing.TM2.stmts₁.equations._eqn_5 0.000078 s: iff.rec_on 0.000197 s: separated 0.000195 s: separated.equations._eqn_1 0.005796 s: euclidean_half_space.topological_space.equations._eqn_1 0.002445 s: mdifferentiable_on_of_locally_mdifferentiable_on 0.007443 s: is_primitive_root.mk_of_lt 0.000177 s: shelf.cases_on 0.000138 s: category_theory.sum.swap._match_1 0.002686 s: category_theory.sum.swap._match_2 0.002573 s: category_theory.sum.swap._proof_1 0.008040 s: category_theory.sum.swap._proof_2 0.000821 s: category_theory.sum.swap 0.023175 s: category_theory.sum.swap.equivalence._proof_4 0.004721 s: pos_num.lor._main 0.000420 s: pos_num.lor._main.equations._eqn_6 0.000116 s: tactic.unfold_proj_config 0.000036 s: tactic.unfold_proj_config.cases_on 0.000041 s: tactic.unfold_proj_config.no_confusion_type 0.000158 s: tactic.unfold_proj_config.no_confusion 0.000067 s: tactic.unfold_proj_config.mk.inj 0.000040 s: tactic.unfold_proj_config.mk.inj_arrow 0.001242 s: poly_equiv_tensor._proof_2 0.037931 s: convex_on.smul 0.000143 s: real.is_conjugate_exponent.cases_on 0.000169 s: ideal.equations._eqn_1 0.000104 s: is_trans.rec_on 0.000332 s: free_add_magma.traverse._sunfold 0.000033 s: denumerable.int 0.000084 s: cardinal.mk_int 0.000058 s: pequiv.refl._proof_1 0.000246 s: pequiv.refl 0.000959 s: pequiv.to_matrix._main.equations._eqn_1 0.000388 s: pequiv.to_matrix.equations._eqn_1 0.000245 s: pequiv.refl_apply 0.007376 s: pequiv.to_matrix_refl 0.000365 s: is_strict_total_order_of_is_strict_total_order' 0.000129 s: has_lt.lt.is_strict_total_order 0.000691 s: add_subgroup.no_confusion_type 0.000954 s: add_subgroup.no_confusion 0.001349 s: add_subgroup.mk.inj 0.001207 s: add_subgroup.mk.inj_arrow 0.000932 s: Gromov_Hausdorff.aux_gluing_struct.mk.inj 0.000454 s: distrib_mul_action.no_confusion_type 0.000867 s: distrib_mul_action.no_confusion 0.000727 s: stream.cons_append_stream 0.002904 s: stream.map_append_stream 0.000478 s: matrix.special_linear_group.equations._eqn_1 0.002382 s: category_theory.under.pushout._proof_1 0.001457 s: category_theory.under.pushout._proof_2 0.002596 s: category_theory.under.pushout._proof_3 0.001797 s: category_theory.under.pushout._proof_4 0.001299 s: category_theory.under.pushout._proof_5 0.001482 s: category_theory.under.pushout._proof_6 0.001496 s: category_theory.under.pushout._proof_7 0.001425 s: category_theory.under.pushout._proof_8 0.001259 s: category_theory.under.pushout._proof_9 0.011102 s: category_theory.under.pushout._proof_10 0.127178 s: category_theory.under.pushout._proof_12 0.013130 s: category_theory.limits.pushout.inl_desc_assoc 0.003989 s: category_theory.limits.pushout.inr_desc_assoc 0.255598 s: category_theory.under.pushout._proof_13 0.024037 s: category_theory.under.pushout 0.005473 s: category_theory.under.pushout_obj 0.001236 s: metric.ball_eq_ball 0.032441 s: has_deriv_at.ccosh 0.000056 s: nat.lor.equations._eqn_1 0.000517 s: _private.2677090513.neg._sunfold 0.009462 s: typevec.drop_repeat._main 0.000096 s: category_theory.limits.has_finite_coproducts_of_has_coproducts 0.000068 s: right_add_coset_equivalence 0.004959 s: category_theory.limits.colimit.iso_colimit_cocone_ι_hom 0.002904 s: category_theory.limits.colimit.iso_colimit_cocone_ι_hom_assoc 0.011883 s: category_theory.limits.colimit.pre_eq 0.002800 s: category_theory.adjunction.is_equivalence_reflects_colimits._aux_1 0.035248 s: category_theory.adjunction.is_equivalence_reflects_colimits._proof_1 0.025390 s: category_theory.adjunction.is_equivalence_reflects_colimits 0.028547 s: category_theory.adjunction.is_equivalence_reflects_colimits.equations._eqn_1 0.000375 s: prod.comm_group._proof_1 0.000316 s: prod.comm_group._proof_2 0.000155 s: prod.comm_group._proof_3 0.004537 s: prod.comm_group._proof_4 0.000882 s: prod.comm_group._proof_5 0.000844 s: prod.comm_group._proof_6 0.000863 s: prod.comm_group._proof_7 0.000244 s: prod.comm_group._proof_8 0.006215 s: prod.comm_group 0.000255 s: prod.ordered_comm_group._proof_8 0.001121 s: inner_product_geometry.angle_comm 0.000581 s: euclidean_geometry.angle_comm 0.000212 s: euclidean_geometry.angle.equations._eqn_1 0.011315 s: real.arccos_neg 0.120391 s: inner_product_geometry.angle_neg_right 0.146226 s: inner_product_geometry.angle_smul_right_of_neg 0.014521 s: inner_product_geometry.angle_smul_left_of_neg 0.001003 s: inner_neg_neg 0.002946 s: inner_product_geometry.angle_neg_neg 0.000587 s: inner_product_geometry.angle_neg_left 0.001943 s: inner_product_geometry.angle_add_angle_eq_pi_of_angle_eq_pi 0.000979 s: euclidean_geometry.angle_add_angle_eq_pi_of_angle_eq_pi 0.000037 s: smt_pre_config.simp_attr 0.001065 s: ordnode.dual_node3_r 0.000167 s: measure_theory.measure_space.no_confusion_type 0.000396 s: measure_theory.measure_space.no_confusion 0.000280 s: parser.one_of 0.029104 s: parser.mono.sat 0.000477 s: parser.mono.one_of 0.000345 s: parser.mono.one_of.equations._eqn_1 0.007555 s: category_theory.monoidal_category.cases_on 0.002690 s: category_theory.monoidal_category.no_confusion_type 0.004033 s: category_theory.limits.is_limit.of_nat_iso.cone_of_hom.equations._eqn_1 0.001602 s: add_subgroup.coe_bot 0.002004 s: add_subgroup.eq_bot_iff_forall 0.002349 s: subtype.nontrivial_iff_exists_ne 0.001535 s: add_subgroup.nontrivial_iff_exists_ne_zero 0.001789 s: add_subgroup.bot_or_nontrivial 0.001213 s: lazy_list.decidable_eq._match_1 0.001325 s: lazy_list.decidable_eq._main 0.000130 s: lazy_list.decidable_eq._main._proof_2 0.000564 s: lazy_list.decidable_eq._main.equations._eqn_2 0.000776 s: psigma.rev_lex 0.000273 s: psigma.rev_lex.rec_on 0.009779 s: local_homeomorph.trans_symm_self 0.000489 s: is_local_min_on.sup 0.000456 s: rack.pre_envel_group.mul.inj 0.000152 s: rack.pre_envel_group.mul.inj_arrow 0.000118 s: filter.realizer.principal._proof_1 0.000075 s: filter.realizer.principal._proof_2 0.002501 s: filter.realizer.principal._match_1 0.001216 s: filter.realizer.principal._proof_3 0.000338 s: filter.realizer.principal 0.000119 s: filter.realizer.top 0.000159 s: filter.realizer.top.equations._eqn_1 0.000456 s: CommRing.colimits.prequotient.add.inj_arrow 0.000170 s: relation.reflexive_join 0.000301 s: relation.symmetric_join 0.001097 s: relation.transitive_join 0.000289 s: relation.equivalence_join 0.000331 s: relation.equivalence_join_refl_trans_gen 0.001447 s: free_group.equivalence_join_red 0.000097 s: relation.join_of_single 0.000158 s: free_group.join_red_of_step 0.000272 s: relation.join_of_equivalence 0.000204 s: relation.refl_trans_gen_of_equivalence 0.000778 s: free_group.eqv_gen_step_iff_join_red 0.004735 s: category_theory.arrow.w 0.003922 s: category_theory.arrow.w_assoc 0.001492 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso_inv 0.004861 s: category_theory.limits.is_colimit.comp_cocone_points_iso_of_nat_iso_inv 0.000742 s: parser.static.foldr_core._main.equations._eqn_1 0.000283 s: parser.static.foldr_core.equations._eqn_1 0.000466 s: set.mul_indicator_eq_self_of_superset 0.000289 s: subalgebra_of_subsemiring._proof_1 0.001870 s: subalgebra_of_subsemiring 0.000052 s: pgame.nonmoves 0.000123 s: pgame.impartial.move_left_impartial 0.000164 s: pgame.nonmoves.equations._eqn_1 0.004294 s: pgame.nonmoves_nonempty 0.000353 s: pgame.grundy_value._main._pack 0.000033 s: pgame.grundy_value._main 0.000016 s: pgame.grundy_value 0.000015 s: nim 0.000139 s: pgame.equiv_congr_left 0.000072 s: pgame.le_of_equiv_of_le 0.000058 s: pgame.le_of_le_of_equiv 0.000181 s: pgame.first_loses_of_equiv 0.000122 s: pgame.impartial.neg_equiv_self 0.000112 s: pgame.impartial.add_self 0.001382 s: pgame.impartial.equiv_iff_sum_first_loses 0.000065 s: nim._main._pack._proof_1 0.001319 s: nim._main._pack.equations._eqn_1 0.000184 s: nim._main.equations._eqn_1 0.000144 s: nim.equations._eqn_1 0.000267 s: pgame.nim.nim_def 0.001139 s: pgame.neg_def 0.000804 s: pgame.nim.nim_wf_lemma 0.035130 s: pgame.nim.nim_impartial._main._pack 0.000074 s: pgame.nim.nim_impartial._main 0.000035 s: pgame.nim.nim_impartial 0.003172 s: pgame.le_zero_iff_zero_le_neg 0.000308 s: pgame.impartial.le_zero_iff 0.000115 s: pgame.impartial.first_loses_symm 0.001917 s: pgame.impartial.lt_zero_iff 0.000190 s: pgame.impartial.first_wins_symm 0.001713 s: pgame.impartial.no_good_left_moves_iff_first_loses 0.001416 s: pgame.add_move_left_inr 0.003880 s: pgame.impartial.impartial_add._main._pack 0.000096 s: pgame.impartial.impartial_add._main 0.000046 s: pgame.impartial.impartial_add 0.000084 s: pgame.lt_of_equiv_of_lt 0.000132 s: pgame.first_wins_of_equiv 0.000052 s: pgame.left_wins 0.000081 s: pgame.right_wins 0.000576 s: pgame.winner_cases 0.001015 s: pgame.impartial.winner_cases 0.000633 s: pgame.impartial.not_first_wins 0.000080 s: pgame.impartial.not_first_loses 0.000111 s: pgame.impartial.first_wins_symm' 0.003051 s: pgame.nim.sum_first_loses_iff_eq 0.000631 s: pgame.nim.sum_first_wins_iff_neq 0.000139 s: pgame.grundy_value._main._pack._proof_1 0.000508 s: pgame.grundy_value._main._pack.equations._eqn_1 0.000157 s: pgame.grundy_value._main.equations._eqn_1 0.000192 s: pgame.grundy_value.equations._eqn_1 0.000413 s: pgame.grundy_value_def 0.000103 s: pgame.impartial.first_loses_symm' 0.000644 s: pgame.impartial.good_left_move_iff_first_wins 0.009466 s: pgame.equiv_nim_grundy_value 0.000137 s: pgame.first_loses_of_equiv_iff 0.001016 s: pgame.nim.equiv_iff_eq 0.000276 s: pgame.equiv_nim_iff_grundy_value_eq 0.000120 s: pgame.equiv_iff_grundy_value_eq 0.002341 s: quadratic_form.rec_on 0.000215 s: is_total_preorder.drec 0.007895 s: locally_constant.semiring.equations._eqn_1 0.000961 s: mv_polynomial.is_symmetric 0.066166 s: mv_polynomial.symmetric_subalgebra._proof_1 0.009498 s: mv_polynomial.symmetric_subalgebra._proof_2 0.054744 s: mv_polynomial.symmetric_subalgebra._proof_3 0.024031 s: mv_polynomial.symmetric_subalgebra._proof_4 0.001162 s: mv_polynomial.symmetric_subalgebra._proof_5 0.053805 s: mv_polynomial.symmetric_subalgebra 0.066463 s: mv_polynomial.is_symmetric.smul 0.008185 s: add_left_cancel_monoid.cases_on 0.003369 s: add_left_cancel_monoid.no_confusion_type 0.000247 s: _private.1117411613.mul._sunfold 0.003147 s: ennreal.one_lt_coe_iff 0.006865 s: real.log_pos 0.008292 s: real.rpow_lt_rpow_of_exponent_lt 0.006190 s: nnreal.rpow_lt_rpow_of_exponent_lt 0.010959 s: ennreal.rpow_lt_rpow_of_exponent_lt 0.025836 s: function.injective.ordered_cancel_add_comm_monoid.equations._eqn_1 0.000287 s: int.induction_on'._proof_11 0.024981 s: universal_enveloping_algebra.rel.drec 0.002252 s: ulift.ring._proof_1 0.000201 s: pos_num.size._main.equations._eqn_1 0.000061 s: pos_num.size.equations._eqn_1 0.000375 s: metric.sum.dist._sunfold 0.004049 s: equiv.cast_trans 0.000141 s: ulift.has_add.equations._eqn_1 0.000867 s: multiset.sub.equations._eqn_1 0.006927 s: direct_sum.add_apply 0.228161 s: direct_sum.lie_ring._proof_10 0.000760 s: pfun.mem_preimage 0.002203 s: hahn_series.integral_domain._proof_6 0.000157 s: list.index_of.equations._eqn_1 0.025677 s: affine_map.proj._proof_1 0.123869 s: affine_map.proj 0.108234 s: affine_map.pi_line_map_apply 0.000177 s: rand_bool._match_1 0.000063 s: rand_bool 0.000103 s: rand_bool.equations._eqn_1 0.000272 s: quotient_add_group.induction_on 0.000497 s: is_simple_lattice.drec 0.000113 s: snum.nz.sizeof_spec 0.001638 s: ordinal.log._proof_1 0.001456 s: ordinal.log 0.000682 s: ordinal.div_add_mod 0.000246 s: ordinal.mod_lt 0.000449 s: ordinal.log.equations._eqn_1 0.014379 s: ordinal.log_def 0.010427 s: ordinal.succ_log_def 0.004089 s: ordinal.power_log_le 0.001936 s: ordinal.CNF_aux 0.002215 s: ordinal.CNF_rec._main._pack 0.000194 s: ordinal.CNF_rec._main 0.000210 s: ordinal.CNF_rec 0.000587 s: ordinal.CNF 0.000620 s: ordinal.zero_CNF 0.000148 s: ordinal.CNF_rec._main._pack._proof_1 0.002551 s: ordinal.CNF_rec._main._pack.equations._eqn_1 0.000713 s: ordinal.CNF_rec._main.equations._eqn_1 0.000819 s: ordinal.CNF_rec.equations._eqn_1 0.002799 s: ordinal.CNF_rec_zero 0.001417 s: ordinal.CNF_zero 0.000535 s: ordinal.CNF.equations._eqn_1 0.001149 s: ordinal.CNF_rec_ne_zero 0.002399 s: ordinal.CNF_ne_zero 0.001493 s: ordinal.lt_pred 0.002268 s: ordinal.pred_le 0.001995 s: ordinal.log_not_one_lt 0.006104 s: ordinal.log_zero 0.002793 s: ordinal.lt_power_succ_log 0.003461 s: ordinal.le_log 0.007173 s: ordinal.log_le_log 0.001208 s: ordinal.log_lt 0.000713 s: ordinal.mod_def 0.001639 s: ordinal.div_zero 0.003377 s: ordinal.div_le_of_le_mul 0.000162 s: ordinal.zero_div 0.001747 s: ordinal.mul_div_cancel 0.003257 s: ordinal.div_one 0.001530 s: ordinal.mod_one 0.003625 s: ordinal.one_CNF 0.010644 s: ordinal.CNF_pairwise_aux 0.000390 s: ordinal.CNF_pairwise 0.001338 s: category_theory.discrete_sieve._match_1 0.000659 s: category_theory.discrete_sieve._proof_1 0.001030 s: category_theory.discrete_sieve 0.002294 s: category_theory.discrete_sieve_mem 0.000382 s: list.extractp._match_1.equations._eqn_1 0.006752 s: list.extractp_eq_find_erasep 0.003769 s: linear_order_of_STO'._match_1.equations._eqn_1 0.000058 s: slim_check.slim_check_cfg.trace_shrink_candidates._default 0.000065 s: slim_check.slim_check_cfg.trace_shrink_candidates._default.equations._eqn_1 0.001336 s: Module.colimits.prequotient.sizeof 0.000318 s: Module.colimits.prequotient.has_sizeof_inst 0.001495 s: Module.colimits.prequotient.add.sizeof_spec 0.048213 s: pmf.normalize._proof_1 0.001903 s: pmf.normalize 0.015766 s: free_abelian_group.lift.add' 0.003446 s: free_abelian_group.is_add_group_hom_lift' 0.016844 s: free_abelian_group.is_add_group_hom_seq 0.001587 s: category_theory.groupoid.iso_equiv_hom._proof_1 0.000497 s: category_theory.groupoid.iso_equiv_hom._proof_2 0.002394 s: category_theory.groupoid.iso_equiv_hom._proof_3 0.003268 s: category_theory.groupoid.iso_equiv_hom._proof_4 0.002025 s: category_theory.groupoid.iso_equiv_hom 0.002126 s: category_theory.groupoid.iso_equiv_hom.equations._eqn_1 0.000891 s: direct_sum.of_zero_ring_hom._proof_4 0.001384 s: add_con_gen.rel.drec 0.001652 s: category_theory.prod.sectr._proof_1 0.004974 s: category_theory.prod.sectr._proof_2 0.002736 s: category_theory.prod.sectr 0.000853 s: category_theory.prod.sectr_obj 0.000227 s: num.size._sunfold 0.001308 s: group.conjugates_of_set.equations._eqn_1 0.002629 s: set.piecewise_mem_pi 0.002049 s: group.in_closure.drec_on 0.001370 s: turing.TM0.stmt.no_confusion 0.000396 s: turing.TM0.stmt.write.inj 0.000279 s: turing.TM0.stmt.write.inj_arrow 0.000718 s: list.lt._main.equations._eqn_1 0.000932 s: cardinal.power_ne_zero 0.002884 s: pi.is_scalar_tower'' 0.000651 s: multiplicity.multiplicity_le_multiplicity_of_dvd_right 0.000436 s: ring_aut.to_mul_aut._proof_1 0.000328 s: ring_aut.to_mul_aut._proof_2 0.011683 s: ring_aut.to_mul_aut 0.006978 s: ring_aut.to_mul_aut.equations._eqn_1 0.000843 s: category_theory.Mat_.quiver.hom.inhabited 0.000747 s: category_theory.Mat_.quiver.hom.inhabited.equations._eqn_1 0.000061 s: sym.sym' 0.000688 s: zero_eq_bit0 0.000611 s: nat.bit0_ne_one 0.000036 s: nat.one_ne_bit0 0.005649 s: _private.421334327.perm_card_two_iff 0.215603 s: sym2.sym2_equiv_sym'._proof_4 0.000177 s: lazy_list.nil.inj 0.002451 s: state_t.ext 0.000609 s: state_t.bind._match_1.equations._eqn_1 0.002463 s: state_t.run_bind 0.002251 s: state_t.run_map 0.071038 s: state_t.is_lawful_monad 0.005351 s: category_theory.limits.is_iso_prod.equations._eqn_1 0.000101 s: has_norm.sizeof 0.000032 s: has_norm.has_sizeof_inst 0.002149 s: add_comm_group.sizeof 0.000050 s: add_comm_group.has_sizeof_inst 0.000390 s: normed_group.sizeof 0.000037 s: normed_group.has_sizeof_inst 0.000693 s: normed_space.sizeof 0.000132 s: normed_space.has_sizeof_inst 0.000177 s: has_inner.sizeof 0.000081 s: has_inner.has_sizeof_inst 0.002337 s: inner_product_space.sizeof 0.000076 s: inner_product_space.has_sizeof_inst 0.006642 s: set.inter_union_distrib_right 0.010761 s: category_theory.differential_object.shift_counit_app_f 0.000088 s: ereal.has_zero 0.000089 s: ereal.has_zero.equations._eqn_1 0.000610 s: finset.nonempty.mono 0.000297 s: finset.max'_subset 0.000145 s: set.set_semiring.down 0.000649 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_1 0.000219 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_2 0.000223 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_4 0.000226 s: equiv.sigma_subtype_preimage_equiv_subtype._proof_6 0.002795 s: equiv.sigma_subtype_preimage_equiv_subtype 0.001264 s: list.lex.not_nil_right 0.001585 s: category_theory.cofinal.cocones_equiv_inverse 0.000434 s: invertible_succ._proof_1 0.004540 s: invertible_succ 0.003358 s: invertible_succ.equations._eqn_1 0.000185 s: list.decidable_sorted 0.000167 s: list.decidable_sorted.equations._eqn_1 0.001610 s: category_theory.limits.cocones.whiskering_obj 0.000121 s: classical.inhabited_of_nonempty'.equations._eqn_1 0.157359 s: complex.cos_eq_iff_quadratic 0.000271 s: plift.rec.constant 0.000928 s: vector.induction_on._proof_1 0.015292 s: vector.induction_on._proof_2 0.000866 s: vector.induction_on._proof_3 0.006187 s: vector.induction_on 0.000286 s: equiv.inv.equations._eqn_1 0.000138 s: writer_t.cases_on 0.000214 s: writer_t.listen._main 0.000374 s: writer_t.listen._main.equations._eqn_1 0.000235 s: integral_domain.npow._default 0.000353 s: integral_domain.npow._default.equations._eqn_1 0.000116 s: finset.inf' 0.001422 s: finset.comp_inf'_eq_inf'_comp 0.000165 s: ordnode.split_max._main 0.000025 s: ordnode.split_max 0.000393 s: ordnode.split_max._main.equations._eqn_2 0.000127 s: ordnode.split_max.equations._eqn_2 0.010391 s: continuous_multilinear_map.curry_sum_equiv._proof_2 0.007948 s: quotient.fin_choice_aux._main 0.000246 s: quotient.fin_choice_aux 0.000091 s: quotient.fin_choice_aux._main._proof_1 0.000470 s: quotient.fin_choice_aux._main._proof_2 0.007685 s: quotient.fin_choice_aux._main.equations._eqn_2 0.002275 s: quotient.fin_choice_aux.equations._eqn_2 0.017079 s: quotient.fin_choice_aux_eq 0.011713 s: quotient.fin_choice._proof_1 0.002685 s: quotient.fin_choice._proof_2 0.003283 s: quotient.fin_choice 0.001332 s: equiv.ring_equiv.equations._eqn_1 0.071085 s: convex_cone.map._match_1 0.074222 s: convex_cone.map._proof_1 0.090570 s: convex_cone.map._match_2 0.088703 s: convex_cone.map._match_3 0.084414 s: convex_cone.map._proof_2 0.087796 s: convex_cone.map 0.087764 s: convex_cone.map_id 0.000118 s: free_add_semigroup.map 0.001339 s: free_add_semigroup.lift_of_add 0.014421 s: free_add_semigroup.lift_add 0.000296 s: free_add_semigroup.map_add 0.001633 s: free_add_semigroup.map_add' 0.000888 s: free_add_semigroup.add_bind 0.131915 s: free_add_semigroup.is_lawful_monad 0.000222 s: free_add_semigroup.is_lawful_traversable._proof_1 0.005158 s: differentiable_at.const_add 0.005053 s: differentiable_at_const_add_iff 0.001382 s: differentiable_at_const_sub_iff 0.000541 s: measure_theory.measure.is_complete.drec 0.000069 s: omega.nat.term.vars.equations._eqn_1 0.001624 s: wseq.to_list_nil 0.000123 s: wseq.to_list.equations._eqn_1 0.000415 s: wseq.to_list._match_2.equations._eqn_1 0.000286 s: wseq.to_list._match_1.equations._eqn_3 0.002573 s: wseq.to_list'_cons 0.000068 s: wseq.nil.equations._eqn_1 0.000243 s: wseq.to_list._match_1.equations._eqn_1 0.000237 s: computation.lmap._main 0.000069 s: computation.lmap 0.000327 s: computation.lmap._main.equations._eqn_1 0.000113 s: computation.lmap.equations._eqn_1 0.000215 s: computation.lmap._main.equations._eqn_2 0.000185 s: computation.lmap.equations._eqn_2 0.001612 s: computation.destruct_map 0.000310 s: wseq.to_list._match_1.equations._eqn_2 0.009701 s: wseq.to_list'_map 0.003495 s: wseq.to_list_cons 0.000511 s: computation.mem_map 0.001560 s: wseq.to_list_of_list 0.000708 s: circle_deg1_lift.commute_iff_commute 0.000247 s: is_left_cancel.drec_on 0.005655 s: nsmul_injective_aux 0.001308 s: nsmul_injective_of_lt_add_order_of 0.000565 s: add_order_of_le_card_univ 0.000963 s: tactic.interactive.case_tag.to_string._main.equations._eqn_1 0.000918 s: fintype.prod_eq_single 0.000794 s: bounded_continuous_function.sizeof 0.001712 s: bounded_continuous_function.mk.sizeof_spec 0.034908 s: alg_equiv.restrict_normal_trans 0.007942 s: alg_equiv.restrict_normal_hom._proof_1 0.008049 s: alg_equiv.restrict_normal_hom 0.058764 s: polynomial.gal.restrict 0.058301 s: polynomial.gal.restrict_dvd._proof_1 0.006521 s: polynomial.gal.restrict_dvd 0.000172 s: polynomial.gal.restrict_prod._proof_1 0.118337 s: polynomial.gal.restrict_prod._proof_2 0.088623 s: polynomial.gal.restrict_prod 0.000907 s: Top.presheaf_to_Top 0.020447 s: Top.subpresheaf_continuous_prelocal_iso_presheaf_to_Top._proof_2 0.000303 s: totally_bounded_Icc 0.001047 s: asymptotics.is_O.prod_left_fst 0.000326 s: bounded_continuous_function.has_norm.equations._eqn_1 0.026560 s: has_deriv_at_filter.sum 0.009824 s: int.div_eq_zero_of_lt 0.000095 s: topological_space.closeds 0.000245 s: emetric.closeds.emetric_space._proof_1 0.000217 s: emetric.closeds.emetric_space._proof_2 0.000344 s: emetric.closeds.emetric_space._proof_3 0.000159 s: emetric.closeds.emetric_space._proof_4 0.000098 s: emetric.closeds.emetric_space._proof_5 0.000154 s: emetric.closeds.emetric_space._proof_6 0.000662 s: emetric.closeds.emetric_space._proof_7 0.000442 s: emetric.Hausdorff_edist_zero_iff_eq_of_closed 0.002262 s: emetric.closeds.emetric_space._proof_8 0.001624 s: emetric.closeds.emetric_space 0.000352 s: topological_space.nonempty_compacts.to_closeds._proof_1 0.000432 s: topological_space.nonempty_compacts.to_closeds 0.000679 s: isometry.uniform_embedding 0.001564 s: emetric.nonempty_compacts.to_closeds.uniform_embedding 0.001844 s: emetric.tendsto_at_top 0.000251 s: filter.eventually.exists_forall_of_at_top 0.342749 s: nnreal.tendsto_pow_at_top_nhds_0_of_lt_1 0.042488 s: ennreal.tendsto_pow_at_top_nhds_0_of_lt_1 0.004320 s: ennreal.sub_half 0.003352 s: ennreal.one_sub_inv_two 0.012813 s: edist_le_of_edist_le_geometric_two_of_tendsto 0.006328 s: edist_le_of_edist_le_geometric_two_of_tendsto₀ 0.177826 s: emetric.closeds.complete_space 0.025655 s: complete_of_compact 0.008818 s: emetric.totally_bounded_iff 0.001615 s: set.finite.finite_subsets 0.000376 s: set.finite.is_compact 0.010775 s: emetric.closeds.compact_space 0.013527 s: emetric.nonempty_compacts.is_closed_in_closeds 0.001399 s: emetric.nonempty_compacts.compact_space 0.000779 s: emetric.nonempty_compacts.compact_space.equations._eqn_1 0.002431 s: finsupp.emb_domain_map_range 0.000894 s: option_t.run_monad_lift 0.000601 s: pos_num.sub'._main.equations._eqn_2 0.000041 s: pos_num.sub'.equations._eqn_2 0.000342 s: measurable.const_pow 0.000128 s: has_sep.cases_on 0.001355 s: CommMon.comm_monoid_obj 0.001418 s: CommMon.comm_monoid_obj.equations._eqn_1 0.002603 s: ring_hom.coe_field_range 0.000204 s: complex.continuous_on_cos 0.003062 s: equiv.arrow_congr_refl 0.005437 s: list.head_add_tail_sum 0.001977 s: pnat.dvd_one_iff 0.000131 s: monoid.foldl.equations._eqn_1 0.054349 s: submodule.map_smul' 0.055227 s: linear_map.range_smul' 0.048966 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main._proof_2 0.001436 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main.equations._eqn_2 0.000201 s: omega.ee.nondiv.inj_eq 0.015801 s: category_theory.creates_colimit_of_reflects_iso.equations._eqn_1 0.004452 s: finset.sup'_lt_iff 0.000826 s: path.cast._proof_1 0.000938 s: path.cast._proof_2 0.001246 s: path.cast 0.000944 s: path.cast_coe 0.001082 s: path.truncate.equations._eqn_1 0.000212 s: path.refl.equations._eqn_1 0.098461 s: path.truncate_self 0.023230 s: path.truncate_one_one 0.000480 s: typevec.arrow.mpr._main 0.000091 s: typevec.arrow.mpr 0.000150 s: typevec.to_append1_drop_last 0.000185 s: typevec.to_append1_drop_last.equations._eqn_1 0.001688 s: parser.prog.fix_core 0.022874 s: field.ring_closure_subset 0.035624 s: field.closure.is_submonoid 0.067097 s: field.closure.is_subfield 0.012926 s: module.directed_system 0.001556 s: module.directed_system.map_self 0.000088 s: implies_of_if_neg 0.000114 s: CommMon.comm_monoid.to_monoid.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.000102 s: language.semiring._proof_1 0.000079 s: language.semiring._proof_3 0.000058 s: language.semiring._proof_4 0.000041 s: language.semiring._proof_5 0.000767 s: language.semiring._proof_6 0.000064 s: language.semiring._proof_8 0.001523 s: language.semiring._proof_9 0.001149 s: language.semiring._proof_10 0.000903 s: language.semiring._proof_11 0.000747 s: language.semiring._proof_12 0.003043 s: language.semiring._proof_15 0.000216 s: language.zero_def 0.000068 s: language.inhabited 0.002827 s: language.semiring._proof_16 0.000965 s: language.semiring._proof_17 0.001298 s: language.semiring._proof_19 0.005674 s: language.semiring 0.000318 s: language.mem_one 0.003905 s: language.mem_mul 0.017391 s: language.mem_pow 0.100838 s: complex.normed_algebra.equations._eqn_1 0.017582 s: mv_polynomial.pempty_ring_equiv_symm_apply_support 0.000213 s: finsupp.of_support_finite._proof_1 0.114709 s: semi_normed_space.has_continuous_smul.equations._eqn_1 0.000531 s: pgame.right_moves_of.equations._eqn_1 0.000184 s: continuous_map.normed_space._proof_1 0.017040 s: continuous_map.normed_space._proof_2 0.058694 s: continuous_map.normed_space._proof_3 0.028479 s: continuous_map.normed_space 0.020133 s: continuous_map.normed_space.equations._eqn_1 0.000562 s: _private.1785958385.name.components'._main 0.000096 s: _private.1785958385.name.components' 0.000961 s: _private.1785958385.name.components'._main.equations._eqn_2 0.000117 s: _private.1785958385.name.components'.equations._eqn_2 0.007470 s: continuous_map.dist_le_iff_of_nonempty 0.000300 s: omega_complete_partial_order.chain.has_le.equations._eqn_1 0.013946 s: dvd_mul_sub_mul 0.013648 s: nat.dvd_of_digits_sub_of_digits 0.000107 s: has_edist.cases_on 0.002356 s: finsupp.map_range.add_equiv_refl 0.013219 s: direct_sum.ghas_mul.of_submodules 0.054360 s: direct_sum.ghas_mul.of_submodules_mul 0.007032 s: qpf.recF._main 0.000197 s: qpf.recF 0.004334 s: qpf.recF_eq' 0.000211 s: prod.bitraverse._main 0.000429 s: prod.bitraverse._main.equations._eqn_1 0.095330 s: has_mfderiv_at_const 0.059313 s: mdifferentiable_at_const 0.010531 s: mdifferentiable_within_at_const 0.000246 s: real.tan_local_homeomorph._proof_1 0.000160 s: real.tan_local_homeomorph._proof_2 0.018713 s: real.arctan_tan 0.000554 s: real.tan_local_homeomorph._proof_3 0.000066 s: real.tan_local_homeomorph._proof_4 0.006096 s: real.tan_local_homeomorph._proof_5 0.000215 s: real.tan_local_homeomorph._proof_6 0.002596 s: order_iso.to_homeomorph._proof_1 0.005238 s: order_iso.to_homeomorph 0.018150 s: real.continuous_arctan 0.001652 s: real.tan_local_homeomorph._proof_7 0.003554 s: real.tan_local_homeomorph 0.001063 s: real.coe_tan_local_homeomorph_symm 0.059864 s: complex.continuous_at_tan 0.068985 s: complex.times_cont_diff_cos 0.065105 s: complex.times_cont_diff_at_tan 0.186851 s: real.times_cont_diff_at_tan 0.229228 s: real.times_cont_diff_arctan 0.000391 s: cardinal.sum_le_sup 0.019410 s: category_theory.reflects_isomorphisms.drec_on 0.000767 s: measure_theory.integrable.congr' 0.000191 s: int.lcm_comm 0.000413 s: Top.sheaf.sizeof 0.000129 s: Top.sheaf.has_sizeof_inst 0.003086 s: category_theory.limits.wide_pushout_shape.mk_cocone 0.001655 s: category_theory.limits.wide_pushout_shape.mk_cocone_X 0.001285 s: finsupp.sum_ite_eq' 0.014178 s: ordered_comm_semiring.cases_on 0.009915 s: ordered_comm_semiring.no_confusion_type 0.000380 s: category_theory.limits.preserves_limits.cases_on 0.000815 s: category_theory.limits.preserves_limits_subsingleton 0.000849 s: category_theory.limits.preserves_limits_subsingleton.equations._eqn_1 0.000302 s: category_theory.subterminal_inclusion 0.000285 s: category_theory.subterminal_inclusion.full 0.000148 s: CpltSepUniformSpace.sizeof 0.216242 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover.category_theory.cofinal 0.278717 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover.category_theory.cofinal.equations._eqn_1 0.000141 s: category_theory.pairwise.hom.left.inj 0.019566 s: polynomial.add_hom_ext 0.002657 s: normalization_monoid.mk.inj 0.002793 s: topological_space.is_topological_basis.open_eq_sUnion' 0.000512 s: topological_space.is_topological_basis.open_eq_sUnion 0.000775 s: filter.germ.lattice._proof_5 0.000710 s: free_ring.map 0.000606 s: free_ring.map.equations._eqn_1 0.000282 s: nat.eq_one_of_mul_eq_one_right 0.000244 s: boolean_ring.comm_ring._proof_1 0.000148 s: boolean_ring.comm_ring._proof_2 0.000114 s: boolean_ring.comm_ring._proof_3 0.001037 s: boolean_ring.comm_ring._proof_4 0.000391 s: boolean_ring.comm_ring._proof_5 0.000860 s: boolean_ring.comm_ring._proof_6 0.000968 s: boolean_ring.comm_ring._proof_7 0.000135 s: boolean_ring.comm_ring._proof_9 0.000100 s: boolean_ring.comm_ring._proof_10 0.000097 s: boolean_ring.comm_ring._proof_11 0.000384 s: boolean_ring.comm_ring._proof_12 0.000264 s: boolean_ring.comm_ring._proof_13 0.000182 s: boolean_ring.comm_ring._proof_14 0.000302 s: boolean_ring.mul_self 0.000091 s: mul_self 0.007178 s: add_self 0.003108 s: neg_eq 0.005283 s: add_eq_zero 0.008363 s: mul_add_mul 0.001524 s: boolean_ring.comm_ring._proof_16 0.002943 s: boolean_ring.comm_ring 0.003345 s: boolean_ring.comm_ring.equations._eqn_1 0.000224 s: linear_ordered_add_comm_group.lt._default 0.000363 s: linear_ordered_add_comm_group.lt._default.equations._eqn_1 0.000936 s: turing.TM0.stmt.move.inj 0.003212 s: category_theory.Aut.group._proof_1 0.001332 s: category_theory.Aut.group._proof_2 0.001374 s: category_theory.Aut.group._proof_3 0.007456 s: category_theory.Aut.group._proof_4 0.002400 s: category_theory.Aut.group._proof_6 0.001254 s: category_theory.Aut.group._proof_7 0.001198 s: category_theory.Aut.group._proof_8 0.005587 s: category_theory.Aut.group._proof_9 0.008373 s: category_theory.Aut.group._proof_10 0.028994 s: category_theory.Aut.group._proof_11 0.071703 s: category_theory.Aut.group._proof_12 0.044528 s: category_theory.Aut.group 0.000265 s: category_theory.Aut.units_End_equiv_Aut._proof_1 0.000184 s: category_theory.Aut.units_End_equiv_Aut._proof_2 0.011431 s: category_theory.Aut.units_End_equiv_Aut._match_1 0.002584 s: category_theory.Aut.units_End_equiv_Aut._proof_3 0.006714 s: category_theory.Aut.units_End_equiv_Aut._match_2 0.001944 s: category_theory.Aut.units_End_equiv_Aut._proof_4 0.013343 s: category_theory.Aut.units_End_equiv_Aut._proof_5 0.005142 s: category_theory.Aut.units_End_equiv_Aut 0.003618 s: units.map_equiv._proof_1 0.000597 s: units.map_equiv._proof_3 0.001403 s: units.map_equiv 0.001502 s: category_theory.iso.conj_Aut 0.312212 s: differentiable_at.sin 0.125210 s: differentiable.sin 0.000171 s: fin.find._main._proof_1 0.040304 s: ordinal.add_absorp_iff 0.000046 s: pempty.no_confusion_type 0.008135 s: cardinal.extend_function 0.000293 s: cardinal.can_lift_cardinal_nat 0.000934 s: cardinal.nat_eq_lift_eq_iff 0.001891 s: cardinal.mk_sum_compl 0.008811 s: cardinal.add_lt_omega 0.008376 s: cardinal.add_lt_omega_iff 0.077282 s: cardinal.mk_compl_eq_mk_compl_finite_lift 0.010914 s: cardinal.extend_function_finite 0.001049 s: equiv.punit_prod_apply 0.001518 s: div_neg_of_neg_of_pos 0.000629 s: zmod.decidable_eq._sunfold 0.009177 s: comm_ring.mk.inj_arrow 0.001185 s: group.div._default 0.000745 s: comm_group.div._default 0.000657 s: linear_ordered_comm_group.div._default 0.003350 s: pow_eq_one_iff 0.007088 s: one_le_pow_iff 0.008251 s: galois_coinsertion.lift_complete_lattice._proof_8 0.000295 s: nat.bit0_ne 0.009647 s: filter.germ.min_def 0.000135 s: rbtree.contains 0.003483 s: category_theory.sum.inverse_associator._match_2.equations._eqn_2 0.005827 s: Module.direct_limit_diagram._proof_2 0.002268 s: ctop.to_topsp_is_topological_basis 0.002037 s: ctop.mem_nhds_to_topsp 0.000648 s: ctop.realizer.ext' 0.000420 s: ctop.realizer.eq 0.000416 s: ctop.realizer.mem_nhds 0.005271 s: ctop.realizer.of_equiv._match_1 0.001718 s: ctop.realizer.of_equiv._proof_1 0.000146 s: multiples 0.003429 s: powers.mul_mem 0.004829 s: multiples.add_mem 0.005597 s: bundle_trivialization.mk_proj_snd 0.000302 s: hash_map.keys 0.000363 s: hash_map.keys.equations._eqn_1 0.002884 s: category_theory.limits.coequalizer_comparison._proof_1 0.001920 s: category_theory.limits.coequalizer_comparison 0.003173 s: category_theory.limits.ι_comp_coequalizer_comparison 0.001820 s: finsum_mem_eq_sum 0.003159 s: finsum_eq_sum_of_support_to_finset_subset 0.003049 s: finsum_def 0.001024 s: finsum_of_infinite_support 0.001036 s: finsum_mem_eq_zero_of_infinite 0.001657 s: finsum_mem_induction 0.000397 s: set.image_one 0.000780 s: set.preimage_mul_left_one 0.000886 s: set.preimage_mul_left_one' 0.022237 s: category_theory.limits.cones.postcompose_equivalence.equations._eqn_1 0.005036 s: linear_pmap.has_bot 0.002250 s: linear_pmap.semilattice_inf_bot._proof_1 0.000835 s: linear_pmap.semilattice_inf_bot._proof_2 0.000386 s: linear_pmap.semilattice_inf_bot._proof_3 0.006305 s: linear_pmap.semilattice_inf_bot._proof_4 0.014834 s: linear_pmap.semilattice_inf_bot._proof_5 0.007266 s: linear_pmap.semilattice_inf_bot._proof_6 0.012854 s: linear_pmap.semilattice_inf_bot._match_6 0.007058 s: linear_pmap.semilattice_inf_bot._proof_7 0.018181 s: linear_pmap.semilattice_inf_bot._proof_8 0.019740 s: linear_pmap.semilattice_inf_bot 0.002828 s: set_coe.exists' 0.005868 s: linear_pmap.domain_mono 0.789356 s: _private.2394871355.Sup_aux 0.003938 s: linear_pmap.Sup 0.004103 s: linear_pmap.le_Sup 0.000176 s: lower_bounds.equations._eqn_1 0.001533 s: exists_between_of_forall_le 0.038739 s: linear_pmap.map_sub 0.008880 s: submodule.coe_sub 0.002752 s: sub_eq_sub_iff_add_eq_add 0.079028 s: _private.3367399253.sup_aux 0.010363 s: linear_pmap.sup 0.001979 s: linear_pmap.mk_span_singleton'._proof_1 0.005439 s: linear_pmap.mk_span_singleton'._proof_2 0.015045 s: linear_pmap.mk_span_singleton'._proof_3 0.004453 s: linear_pmap.mk_span_singleton' 0.009812 s: linear_pmap.mk_span_singleton._proof_1 0.000785 s: linear_pmap.mk_span_singleton 0.006002 s: linear_pmap.sup_span_singleton._proof_1 0.004624 s: linear_pmap.sup_h_of_disjoint 0.001883 s: linear_pmap.domain_mk_span_singleton 0.009158 s: linear_pmap.sup_span_singleton._proof_2 0.004919 s: linear_pmap.sup_span_singleton 0.007390 s: linear_pmap.sup_apply 0.019179 s: linear_pmap.left_le_sup 0.004406 s: linear_pmap.domain_sup_span_singleton 0.005263 s: linear_pmap.mk_span_singleton_apply 0.024874 s: linear_pmap.sup_span_singleton_apply_mk 0.349680 s: riesz_extension.step 0.145779 s: riesz_extension.exists_top 0.015034 s: linear_equiv.of_top_symm_apply 0.110444 s: riesz_extension 0.000521 s: uniform_space.completion.comm_ring._proof_15 0.017221 s: category_theory.equivalence.to_order_iso._proof_1 0.002951 s: category_theory.equivalence.to_order_iso._proof_2 0.009071 s: category_theory.equivalence.to_order_iso._proof_3 0.003547 s: category_theory.equivalence.to_order_iso 0.002216 s: category_theory.equivalence.to_order_iso_apply 0.000197 s: hyperreal.infinite_pos_iff_infinite_neg_neg 0.000332 s: hyperreal.infinite_iff_infinite_neg 0.000118 s: hyperreal.not_infinite_neg 0.002928 s: hyperreal.st_neg 0.008132 s: monoid_hom.comp_coprod 0.000588 s: category_theory.with_initial.hom._main.equations._eqn_2 0.000128 s: nat.add_comm_monoid.equations._eqn_1 0.000194 s: transcendental 0.039174 s: is_algebraic_algebra_map 0.164678 s: transcendental.irrational 0.018821 s: subring.mem_map 0.001239 s: equiv.set.prod.equations._eqn_1 0.000110 s: has_le.le.ge 0.058978 s: matrix.to_lin_apply 0.038009 s: matrix.to_lin_self 0.048371 s: is_basis.sum_to_matrix_smul_self 0.028780 s: is_basis.to_lin_to_matrix 0.033767 s: is_basis_to_matrix_mul_linear_map_to_matrix 0.026026 s: linear_map.to_matrix_id_eq_basis_to_matrix 0.018244 s: is_basis.to_matrix_mul_to_matrix 0.003283 s: equiv.set.union.equations._eqn_1 0.000988 s: alist.lookup_erase_ne 0.005538 s: category_theory.Monad.of_Mon.equations._eqn_1 0.002671 s: continuous_within_at_Ioo_iff_Ioi 0.000354 s: decidable_of_bool._main 0.000329 s: decidable_of_bool._main._proof_1 0.000712 s: decidable_of_bool._main.equations._eqn_1 0.001237 s: category_theory.monoidal_category.tensor_right.equations._eqn_1 0.002680 s: free_add_monoid.comp_lift 0.002360 s: free_add_monoid.hom_map_lift 0.000339 s: subtype.uniform_space.equations._eqn_1 0.000283 s: comm_monoid.npow._default 0.000302 s: ordered_comm_monoid.npow._default 0.000248 s: canonically_ordered_monoid.npow._default 0.000165 s: canonically_linear_ordered_monoid.npow._default 0.000410 s: canonically_linear_ordered_monoid.npow._default.equations._eqn_1 0.000235 s: slim_check.add_shrinks._main 0.000017 s: slim_check.add_shrinks 0.002227 s: submodule.closed_complemented 0.015276 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_1 0.005158 s: continuous_linear_map.complete_space_ker 0.002040 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_2 0.017136 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_3 0.005888 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_4 0.005290 s: has_strict_fderiv_at.add_const 0.002103 s: has_strict_fderiv_at.sub_const 0.074713 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_5 0.008249 s: linear_map.range_eq_of_proj 0.052058 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_6 0.065172 s: has_strict_fderiv_at.implicit_function_data_of_complemented._proof_7 0.051340 s: has_strict_fderiv_at.implicit_function_data_of_complemented 0.013651 s: has_strict_fderiv_at.implicit_to_local_homeomorph_of_complemented 0.108244 s: continuous_linear_map.exists_right_inverse_of_surjective 0.020257 s: continuous_linear_map.ker_cod_restrict 0.003672 s: continuous_linear_map.closed_complemented_ker_of_right_inverse 0.277687 s: continuous_linear_map.ker_closed_complemented_of_finite_dimensional_range 0.136995 s: has_strict_fderiv_at.implicit_to_local_homeomorph._proof_1 0.084448 s: has_strict_fderiv_at.implicit_to_local_homeomorph 0.147392 s: has_strict_fderiv_at.mem_implicit_to_local_homeomorph_source 0.023065 s: has_fderiv_at.add 0.004034 s: differentiable_at.add 0.000534 s: list.range_core._main.equations._eqn_2 0.000326 s: roption.of_option._main.equations._eqn_1 0.000100 s: roption.of_option.equations._eqn_1 0.000053 s: roption.none.equations._eqn_1 0.000107 s: roption.of_option._main.equations._eqn_2 0.000103 s: roption.of_option.equations._eqn_2 0.001147 s: roption.of_option_dom 0.000125 s: wseq.is_finite.out 0.000041 s: wseq.to_list_terminates 0.000062 s: wseq.get 0.000116 s: wseq.get.equations._eqn_1 0.004497 s: add_equiv.to_AddMagma_iso._proof_1 0.001218 s: Gromov_Hausdorff.GH_space.rep 0.001633 s: Gromov_Hausdorff.rep_GH_space_metric_space 0.000795 s: Gromov_Hausdorff.rep_GH_space_compact_space 0.000262 s: topological_space.nonempty_compacts.to_nonempty 0.000401 s: Gromov_Hausdorff.rep_GH_space_nonempty 0.000399 s: Gromov_Hausdorff.optimal_GH_injl 0.003563 s: Gromov_Hausdorff.isometry_optimal_GH_injr 0.002558 s: Gromov_Hausdorff.isometry_optimal_GH_injl 0.000469 s: metric.metric_space_glue_space 0.001166 s: isometry_subtype_coe 0.000672 s: isometric.range_eq_univ 0.009000 s: Gromov_Hausdorff.eq_to_GH_space_iff 0.011706 s: Gromov_Hausdorff.eq_to_GH_space 0.005094 s: Gromov_Hausdorff.GH_space.to_GH_space_rep 0.002733 s: emetric.inf_edist_image 0.003009 s: emetric.Hausdorff_edist_image 0.004026 s: metric.Hausdorff_dist_image 0.038670 s: Gromov_Hausdorff.GH_dist_le_Hausdorff_dist 0.007705 s: metric.to_glue_l_isometry 0.003121 s: metric.to_glue_r_isometry 0.000089 s: sum.inhabited_right 0.002201 s: metric.exists_dist_lt_of_Hausdorff_dist_lt 0.000493 s: isometry.diam_range 0.001759 s: _private.1787980021.HD_optimal_GH_dist_le 0.042280 s: Gromov_Hausdorff.Hausdorff_dist_optimal_le_HD 0.004332 s: Gromov_Hausdorff.HD.equations._eqn_1 0.001904 s: metric.exists_dist_lt_of_Hausdorff_dist_lt' 0.020077 s: Gromov_Hausdorff.HD_candidates_b_dist_le 0.095865 s: Gromov_Hausdorff.Hausdorff_dist_optimal 0.000445 s: Gromov_Hausdorff.GH_dist.equations._eqn_1 0.030495 s: Gromov_Hausdorff.GH_space_metric_space._proof_3 0.001791 s: typevec.const._main.equations._eqn_1 0.004373 s: category_theory.pretopology.of_grothendieck._proof_2 0.000892 s: differentiable_on.sub 0.038598 s: submonoid.mem_Sup_of_mem 0.010169 s: fin_equiv_powers._match_2.equations._eqn_1 0.000241 s: turing.fin_tm2.Γk₀_fin 0.000592 s: is_lawful_bifunctor.id_bimap 0.000242 s: bifunctor.id_fst 0.000321 s: bifunctor.fst_id 0.009609 s: filter.union_mem_sup 0.002227 s: measure_theory.measure.finite_at_filter.filter_sup 0.000039 s: io.proc.child 0.000345 s: monad_io_process.stdout 0.000049 s: io.proc.child.stdout 0.840424 s: intermediate_field.lifts.lift_of_splits.equations._eqn_1 0.004342 s: CommMon_.cases_on 0.002734 s: CommMon_.no_confusion_type 0.002416 s: CommMon_.no_confusion 0.006566 s: CommMon_.mk.inj 0.003796 s: CommMon_.mk.inj_eq 0.001016 s: lt_mul_of_one_lt_of_le 0.009804 s: continuous_linear_map.coe_cod_restrict_apply 0.001531 s: flow.mk.inj 0.002398 s: flow.mk.inj_eq 0.011906 s: int_algebra_subsingleton.equations._eqn_1 0.003389 s: map_mem_closure2 0.001668 s: category_theory.mono_over.faithful_map.equations._eqn_1 0.001912 s: category_theory.monoidal.tensor_unit_obj 0.000131 s: pfunctor.M_intl.no_confusion_type 0.000331 s: pfunctor.M_intl.no_confusion 0.000228 s: pfunctor.M_intl.mk.inj 0.000674 s: pfunctor.M_intl.mk.inj_eq 0.003057 s: lie_hom.cases_on 0.004720 s: lie_hom.coe_injective 0.000201 s: pgame.omega 0.001551 s: category_theory.bundled_hom.cases_on 0.001011 s: category_theory.bundled_hom.no_confusion_type 0.001239 s: category_theory.bundled_hom.no_confusion 0.002191 s: category_theory.bundled_hom.mk.inj 0.004196 s: has_deriv_at.scomp 0.001424 s: deriv.scomp 0.003805 s: finset.sdiff_inter_distrib_right 0.000434 s: list.sections._main 0.000043 s: list.sections 0.009411 s: list.rel_append 0.010311 s: list.rel_join 0.006347 s: list.rel_map 0.000725 s: list.rel_bind 0.009370 s: list.rel_sections 0.005551 s: direct_sum.gmonoid.of_add_submonoids._match_5.equations._eqn_1 0.000721 s: set.ite_left 0.000118 s: local_equiv.disjoint_union._proof_5 0.059986 s: norm_sub_square_eq_norm_square_add_norm_square_iff_real_inner_eq_zero 0.007714 s: norm_sub_square_eq_norm_square_add_norm_square_real 0.003327 s: Prop.fintype._proof_1 0.034445 s: zmod.subsingleton_units 0.006761 s: zmod.card_units 0.004640 s: zmod.units_pow_card_sub_one_eq_one 0.087572 s: zmod.euler_criterion_units 0.000190 s: computation.ret_terminates.equations._eqn_1 0.020241 s: category_theory.monoidal_category.left_unitor_tensor_inv' 0.007112 s: enorm.mk.inj_arrow 0.003125 s: tactic_doc._681033811 0.000996 s: submonoid.closure_eq_of_le 0.005608 s: submonoid.closure_singleton_eq 0.001328 s: submonoid.mem_closure_singleton 0.000254 s: submonoid.mem_closure_singleton_self 0.000097 s: classical.type_decidable_eq 0.003868 s: set.preimage_const_add_Ico 0.000263 s: opposite.integral_domain._proof_14 0.000475 s: direct_sum.lie_ring_module._proof_1 0.262656 s: direct_sum.lie_ring_module._proof_2 0.265318 s: direct_sum.lie_ring_module._proof_3 0.284101 s: direct_sum.lie_ring_module._proof_4 0.013543 s: direct_sum.lie_ring_module 0.006105 s: direct_sum.lie_module_bracket_apply 0.004481 s: direct_sum.smul_apply 0.032645 s: direct_sum.lie_module._proof_1 0.057596 s: direct_sum.lie_module._proof_2 0.040246 s: direct_sum.lie_module 0.007217 s: direct_sum.lie_module_of._proof_1 0.001869 s: direct_sum.lie_module_of._proof_2 0.002766 s: direct_sum.lof_apply 0.001630 s: direct_sum.lof.equations._eqn_1 0.014563 s: direct_sum.lie_module_of._proof_3 0.041488 s: direct_sum.lie_module_of 0.043630 s: direct_sum.lie_module_of.equations._eqn_1 0.006725 s: category_theory.limits.kernel_iso_of_eq._proof_1 0.003133 s: category_theory.limits.kernel_iso_of_eq 0.002054 s: category_theory.limits.kernel_iso_of_eq.equations._eqn_1 0.008365 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso_hom_comp 0.001771 s: category_theory.limits.has_limit.iso_of_nat_iso_hom_π 0.004633 s: category_theory.limits.kernel_iso_of_eq_refl 0.057634 s: ring.fractional_ideal.coe_one_eq_coe_submodule_one 0.001034 s: set.Iio_subset_Iic_self 0.000040 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rw 0.000088 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rw.inj 0.000085 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rw.inj_eq 0.035696 s: continuous_multilinear_curry_fin0_symm_apply 0.040312 s: function.injective.linear_ordered_comm_group._proof_6 0.000530 s: matrix.sub_left 0.000215 s: algebraic_geometry.Scheme.to_LocallyRingedSpace.equations._eqn_1 0.010585 s: slim_check.sum.shrink._main._proof_1 0.003191 s: slim_check.sum.shrink._main.equations._eqn_1 0.000082 s: wseq.bind 0.000097 s: wseq.bind.equations._eqn_1 0.000138 s: monad_io_net_system.socket 0.000019 s: monad_io_net_system_impl 0.000051 s: io.net.socket 0.000318 s: monad_io_net_system.recv 0.000039 s: io.net.recv 0.008894 s: preorder_hom.complete_lattice._proof_4 0.000153 s: add_con.quotient.inhabited 0.001283 s: add_localization.inhabited 0.050219 s: intermediate_field.lifts.order_bot.equations._eqn_1 0.006371 s: local_homeomorph.of_continuous_open_restrict.equations._eqn_1 0.003991 s: smooth_at.smooth_within_at 0.002886 s: tactic_doc._3771056869 0.004025 s: category_theory.limits.is_iso_limit_cocone_parallel_pair_of_epi 0.001348 s: category_theory.triangulated.triangle.mk.equations._eqn_1 0.001399 s: parser.static.mmap'._main.equations._eqn_1 0.000640 s: t0_space 0.000220 s: t0_space.t0 0.002327 s: finset.filter_ssubset 0.005830 s: exists_open_singleton_of_open_finset 0.001071 s: exists_open_singleton_of_fintype 0.000358 s: nat.modeq.modeq_iff_dvd' 0.004473 s: cau_seq.lim_eq_zero_iff 0.001116 s: function.support_mul 0.000525 s: function.support_inv 0.002687 s: function.support_div 0.000247 s: ordinal.dvd_zero 0.002968 s: category_theory.unit_closed._proof_1 0.003343 s: category_theory.unit_closed._proof_2 0.011542 s: category_theory.unit_closed._proof_3 0.010834 s: category_theory.unit_closed._proof_4 0.006789 s: category_theory.unit_closed 0.002315 s: category_theory.terminal_exponentiable 0.007414 s: Set.image.mk 0.004512 s: Set.mem_insert 0.000854 s: Set.mem_singleton 0.000148 s: Set.mem_pair 0.000956 s: Set.ext_iff 0.000195 s: Set.pair.equations._eqn_1 0.002824 s: Set.mem_Union 0.001734 s: Set.Union_singleton 0.000321 s: Set.singleton_inj 0.002847 s: Set.pair_inj 0.005328 s: Set.mem_image 0.001270 s: Set.map_unique 0.016826 s: power_series.exp_pow_eq_rescale_exp 0.032591 s: power_series.exp_pow_sum 0.009575 s: power_series.constant_coeff_C 0.010254 s: power_series.coeff_succ_X_mul 0.005820 s: power_series.eq_X_mul_shift_add_const 0.008046 s: power_series.sub_const_eq_X_mul_shift 0.000385 s: bernoulli_power_series 0.000415 s: bernoulli_power_series.equations._eqn_1 0.000624 s: nat.factorial._main.equations._eqn_2 0.000109 s: nat.factorial.equations._eqn_2 0.000121 s: nat.factorial._main.equations._eqn_1 0.000036 s: nat.factorial.equations._eqn_1 0.002956 s: finset.nat.antidiagonal_congr 0.002248 s: eq_sub_of_add_eq' 0.155020 s: bernoulli_spec' 0.431769 s: bernoulli_power_series_mul_exp_sub_one 0.000762 s: finset.nat.sum_antidiagonal_eq_sum_range_succ 0.005332 s: nat.cast_add_one_ne_zero 0.834916 s: sum_range_pow 0.275869 s: sum_range_pow' 0.000147 s: wf_dvd_monoid.rec_on 0.024641 s: submonoid.localization_map.eq' 0.003056 s: submonoid.localization_map.mk'_eq_iff_mk'_eq 0.007419 s: localization_map.mk'_eq_iff_mk'_eq 0.005316 s: filter.comap_const_of_not_mem 0.000342 s: except_t.no_confusion 0.000221 s: except_t.mk.inj 0.012393 s: free_algebra.star_ring.equations._eqn_1 0.001887 s: category_theory.limits.cone.of_pullback_cone 0.001600 s: category_theory.limits.cone.of_pullback_cone_π 0.002707 s: slim_check.gen.elements._match_1.equations._eqn_1 0.000128 s: list.mmap_with_index_aux_spec 0.000276 s: list.mmap_with_index_aux_spec.equations._eqn_1 0.000214 s: pfunctor.M.cases_on_mk 0.000655 s: vector.elim._match_1.equations._eqn_1 0.001699 s: set.image_sub_const_Icc 0.000423 s: option.bind_id_eq_join 0.000251 s: writer_t.monad_run 0.008480 s: is_lub_Ico 0.000569 s: set.nonempty_Ico 0.000332 s: cSup_Ico 0.001325 s: multiset.nodup_union 0.012148 s: multiset.nodup_sup_iff 0.000187 s: rat.subsingleton_ring_hom.equations._eqn_1 0.025744 s: dfinsupp.map_range.add_equiv_trans 0.011562 s: algebraic_geometry.LocallyRingedSpace.hom.equations._eqn_1 0.000919 s: name.has_prefix._main 0.000015 s: name.has_prefix 0.000165 s: name.has_prefix._main.equations._eqn_1 0.000064 s: name.has_prefix.equations._eqn_1 0.082641 s: real_inner_sub_sub_self 0.000309 s: monotonic_sequence_limit_index 0.000116 s: monotonic_sequence_limit 0.000598 s: rel_hom.to_preorder_hom._proof_1 0.000320 s: rel_hom.to_preorder_hom 0.015821 s: rel_embedding.to_preorder_hom_injective 0.017256 s: well_founded.monotone_chain_condition 0.005684 s: well_founded.supr_eq_monotonic_sequence_limit 0.000844 s: filter.germ.distrib_mul_action.equations._eqn_1 1.541063 s: Algebra.forget₂_Module_preserves_limits_aux 0.003672 s: Algebra.forget₂_Module_preserves_limits 0.000600 s: znum.cmp._main.equations._eqn_5 0.000134 s: category_theory.limits.wide_pushout_shape.inhabited 0.000557 s: function.support_neg' 0.000435 s: is_local_min_on.on_subset 0.000701 s: erased.out._main.equations._eqn_1 0.000393 s: ennreal.max_mul 0.004319 s: lipschitz_with.prod 0.006075 s: tactic_doc._1173946599 0.001038 s: multiplicative.has_continuous_mul 0.000492 s: list.bag_inter._main.equations._eqn_2 0.000100 s: io.process.stdio.cases_on 0.009385 s: lucas_lehmer.X.bit1_snd 0.000796 s: continued_fraction.coe_to_simple_continued_fraction 0.001515 s: finset.prod_subset_one_on_sdiff 0.000208 s: list.choose 0.000327 s: list.choose.equations._eqn_1 0.006128 s: category_theory.mono_over.pullback_obj_left 0.000175 s: pi.ordered_add_comm_group._proof_9 0.002592 s: continuous_linear_equiv.prod._proof_5 0.006247 s: quadratic_form.sub_apply 0.000205 s: category_theory.limits.sigma.map_iso._proof_2 0.000596 s: is_simple_lattice.complete_boolean_algebra._proof_5 0.000053 s: tactic.simp_intros_config.inhabited 0.000130 s: ordnode.find_gt_aux.equations._eqn_1 0.000470 s: int.bodd_one 0.001092 s: list.map_accumr._main 0.000431 s: list.map_accumr._main.equations._eqn_1 0.274778 s: list.is_lawful_monad.equations._eqn_1 0.005912 s: affine_subspace.exists_of_lt 0.000413 s: submonoid.to_ordered_comm_monoid._proof_1 0.000377 s: set.subsingleton_of_image 0.476174 s: polynomial.gal.gal_action.equations._eqn_1 0.005721 s: onote.repr'._main 0.000031 s: onote.repr' 0.000200 s: nonote.has_repr 0.000085 s: nonote.has_repr.equations._eqn_1 0.000282 s: cardinal.lift.equations._eqn_1 0.000082 s: list.intercalate 0.000073 s: string.intercalate 0.002711 s: slim_check.format_failure 0.000166 s: slim_check.format_failure'._main 0.000185 s: slim_check.format_failure'._main.equations._eqn_1 0.029328 s: category_theory.yoneda_preserves_limits._proof_1 0.002697 s: semidirect_product.mk.inj_arrow 0.004015 s: semidirect_product.ext_iff 0.002437 s: locally_compact_space.prod.equations._eqn_1 0.001597 s: locally_finite.realizer.bas 0.000297 s: punit.semimodule._proof_1 0.000177 s: punit.semimodule._proof_3 0.000179 s: punit.semimodule._proof_4 0.000558 s: punit.semimodule 0.000231 s: Module.has_zero 0.012526 s: Module.category_theory.limits.has_zero_object._proof_1 0.002593 s: Module.category_theory.limits.has_zero_object._proof_2 0.001059 s: Module.category_theory.limits.has_zero_object 0.000978 s: Module.category_theory.limits.has_zero_object.equations._eqn_1 0.003068 s: ordered_add_comm_group.sizeof 0.000061 s: ordered_add_comm_group.has_sizeof_inst 0.002420 s: galois_insertion.l_inf_u 0.035144 s: ideal.map_inf_comap_of_surjective 0.000606 s: filter.germ.semilattice_inf_top._proof_2 0.000557 s: pgame.inv_ty.left₁.inj 0.000238 s: pgame.inv_ty.left₁.inj_arrow 0.005592 s: is_free_group.lift.equations._eqn_1 0.001792 s: dfinsupp.lapply._proof_1 0.001425 s: dfinsupp.lapply._proof_2 0.012912 s: dfinsupp.lapply 0.002968 s: direct_sum.component 0.003265 s: direct_sum.ext 0.003646 s: typevec.subtype_val._main.equations._eqn_2 0.002185 s: typevec.subtype_val.equations._eqn_2 0.001365 s: add_subgroup.normalizer._proof_1 0.001534 s: add_subgroup.normalizer._proof_2 0.001087 s: add_subgroup.normalizer._proof_3 0.000627 s: add_subgroup.normalizer 0.000638 s: add_subgroup.mem_normalizer_iff 0.000413 s: preorder_hom.prod.fst.equations._eqn_1 0.000163 s: squarefree.equations._eqn_1 0.000292 s: category_theory.quotient.rec_on 0.000263 s: function.injective.decidable_eq.equations._eqn_1 0.000410 s: pos_num.shiftr._main.equations._eqn_2 0.002333 s: slim_check.sampleable.lift.equations._eqn_1 0.011290 s: hahn_series.to_power_series_alg._proof_4 0.000728 s: equiv_of_dim_eq_dim._proof_1 0.000760 s: equiv_of_dim_eq_dim 0.654741 s: alg_equiv.aut_congr_trans 0.029106 s: function.injective.cancel_monoid_with_zero._proof_5 0.107469 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso._proof_1 0.055979 s: Module.monoidal_category.braiding_inv_apply 0.000299 s: matrix.unique.equations._eqn_1 0.128957 s: mv_polynomial.mem_map_C_iff 0.113962 s: is_R_or_C.norm_sq_neg 0.044123 s: is_R_or_C.norm_sq_sub 0.002045 s: list.foldr_eta 0.000574 s: list.reverse_foldl 0.000898 s: surreal.not_le 0.005676 s: Mon_Type_equivalence_Mon._proof_1 0.009552 s: Mon_Type_equivalence_Mon._proof_2 0.004260 s: Mon_Type_equivalence_Mon._proof_3 0.033080 s: Mon_Type_equivalence_Mon._proof_5 0.045687 s: Mon_Type_equivalence_Mon._proof_6 0.052570 s: Mon_Type_equivalence_Mon._proof_7 0.003562 s: Mon_Type_equivalence_Mon._proof_8 0.003603 s: Mon_Type_equivalence_Mon._proof_9 0.002274 s: Mon_Type_equivalence_Mon._proof_10 0.001705 s: Mon_Type_equivalence_Mon._proof_11 0.019395 s: Mon_Type_equivalence_Mon._proof_12 0.010104 s: Mon_Type_equivalence_Mon._proof_13 0.019844 s: Mon_Type_equivalence_Mon._proof_14 0.084336 s: Mon_Type_equivalence_Mon._proof_15 0.063351 s: Mon_Type_equivalence_Mon 0.057357 s: Mon_Type_equivalence_Mon.equations._eqn_1 0.009667 s: applicative_transformation.comp._proof_1 0.004530 s: applicative_transformation.comp._proof_2 0.001484 s: applicative_transformation.comp 0.006147 s: applicative_transformation.comp_assoc 0.000171 s: order_dual.to_dual_symm_eq 0.000871 s: submonoid.is_submonoid 0.022008 s: intermediate_field.pow_mem 0.000302 s: locally_constant.comm_semiring._proof_1 0.000214 s: locally_constant.comm_semiring._proof_2 0.000167 s: locally_constant.comm_semiring._proof_3 0.002364 s: locally_constant.comm_semiring._proof_4 0.002874 s: locally_constant.comm_semiring._proof_5 0.000700 s: locally_constant.comm_semiring._proof_6 0.000376 s: locally_constant.comm_semiring._proof_7 0.000267 s: locally_constant.comm_semiring._proof_8 0.000177 s: locally_constant.comm_semiring._proof_9 0.000586 s: locally_constant.comm_semiring._proof_10 0.000603 s: locally_constant.comm_semiring._proof_11 0.000198 s: locally_constant.comm_semiring._proof_12 0.000223 s: locally_constant.comm_semiring._proof_14 0.000203 s: locally_constant.comm_semiring._proof_15 0.000293 s: locally_constant.comm_semiring._proof_16 0.005181 s: locally_constant.comm_semiring 0.000216 s: locally_constant.comm_ring._proof_16 0.000191 s: setoid.ext_iff 0.000483 s: add_con.to_setoid_inj 0.001100 s: setoid.ker_eq_lift_of_injective 0.002001 s: add_con.ker_eq_lift_of_injective 0.000278 s: opposite.integral_domain._proof_1 0.000162 s: opposite.integral_domain._proof_3 0.000943 s: opposite.integral_domain._proof_4 0.001270 s: opposite.integral_domain._proof_5 0.000566 s: opposite.integral_domain._proof_6 0.000462 s: opposite.integral_domain._proof_7 0.000120 s: opposite.integral_domain._proof_8 0.000097 s: opposite.integral_domain._proof_9 0.000094 s: opposite.integral_domain._proof_10 0.000076 s: opposite.integral_domain._proof_11 0.000318 s: opposite.integral_domain._proof_12 0.000519 s: opposite.integral_domain._proof_13 0.000184 s: opposite.integral_domain._proof_15 0.000131 s: opposite.integral_domain._proof_16 0.000093 s: opposite.integral_domain._proof_17 0.009805 s: opposite.integral_domain 0.011406 s: opposite.integral_domain.equations._eqn_1 0.000282 s: nat.min_fac_eq_one_iff 0.001859 s: nat.min_fac_le_of_dvd 0.008445 s: nat.min_fac_eq_two_iff 0.000237 s: CommRing.colimits.prequotient.one.inj 0.000314 s: CommRing.colimits.prequotient.one.inj_arrow 0.001034 s: tree.repr._main 0.000034 s: tree.repr 0.000060 s: tree.has_repr 0.000092 s: tree.has_repr.equations._eqn_1 0.001366 s: tactic_doc._3844391078 0.000336 s: filter.eventually_supr 0.000592 s: trunc.monad 0.040870 s: trunc.is_lawful_monad 0.000546 s: category_theory.grothendieck.sizeof 0.000099 s: category_theory.grothendieck.has_sizeof_inst 0.000370 s: measure_theory.simple_func.has_inf.equations._eqn_1 0.000130 s: vector.repeat 0.000522 s: bitvec.zero 0.000024 s: bitvec.has_zero 0.013940 s: galois_coinsertion.lift_complete_lattice._proof_1 0.008445 s: galois_coinsertion.lift_complete_lattice._proof_2 0.007662 s: galois_coinsertion.lift_complete_lattice._proof_4 0.006678 s: galois_coinsertion.lift_complete_lattice._proof_5 0.006635 s: galois_coinsertion.lift_complete_lattice._proof_6 0.007975 s: galois_coinsertion.lift_complete_lattice._proof_7 0.009249 s: galois_coinsertion.lift_complete_lattice._proof_9 0.005987 s: galois_coinsertion.lift_complete_lattice._proof_10 0.008586 s: galois_coinsertion.lift_complete_lattice._proof_11 0.006092 s: galois_coinsertion.lift_complete_lattice._proof_12 0.000961 s: galois_coinsertion.lift_complete_lattice._proof_13 0.012735 s: galois_coinsertion.lift_complete_lattice._proof_14 0.017306 s: galois_coinsertion.lift_complete_lattice._proof_15 0.001741 s: galois_coinsertion.lift_complete_lattice._proof_16 0.013050 s: galois_coinsertion.lift_complete_lattice 0.013870 s: module.End.generalized_eigenrange 0.011671 s: module.End.generalized_eigenrange.equations._eqn_1 0.000130 s: linarith.linexp.scale._match_1 0.000139 s: linarith.linexp.scale 0.000096 s: linarith.linexp.scale.equations._eqn_1 0.000207 s: cancel_comm_monoid.npow._default 0.001934 s: valuation.is_equiv.symm 0.000664 s: add_valuation.is_equiv.symm 0.000134 s: has_bracket.sizeof 0.000088 s: has_bracket.has_sizeof_inst 0.000763 s: lie_ring.sizeof 0.002550 s: lie_ring.mk.sizeof_spec 0.000230 s: pfunctor.W.dest._main 0.000031 s: pfunctor.W.dest 0.000365 s: pfunctor.W.dest._main.equations._eqn_1 0.000215 s: pfunctor.W.dest.equations._eqn_1 0.008613 s: category_theory.iso.Semigroup_iso_to_add_equiv._proof_1 0.003631 s: category_theory.iso.Semigroup_iso_to_add_equiv._proof_2 0.001774 s: category_theory.iso.Semigroup_iso_to_add_equiv._proof_3 0.000892 s: category_theory.iso.Semigroup_iso_to_add_equiv 0.002434 s: add_equiv_iso_AddSemigroup_iso._proof_1 0.004796 s: add_equiv_iso_AddSemigroup_iso._proof_2 0.000688 s: add_equiv_iso_AddSemigroup_iso 0.000093 s: nat.has_sizeof.equations._eqn_1 0.000106 s: pnat.distrib._proof_1 0.000961 s: linear_map.inr_eq_prod 0.004568 s: mv_polynomial.monic_monomial_eq 0.000837 s: finsupp.apply_add_hom_apply 0.049607 s: mv_polynomial.esymm_eq_sum_monomial 0.189530 s: Algebra.limit_semiring.equations._eqn_1 0.042881 s: pair_self_adjoint_matrices_submodule._proof_1 0.035553 s: matrix.to_bilin' 0.048420 s: pair_self_adjoint_matrices_submodule 0.015505 s: self_adjoint_matrices_submodule 0.000261 s: matrix.is_adjoint_pair 0.000095 s: matrix.is_self_adjoint 0.041172 s: pair_self_adjoint_matrices_submodule.equations._eqn_1 0.009077 s: bilin_form.mem_is_pair_self_adjoint_submodule 0.002825 s: bilin_form.comp_left_apply 0.003469 s: bilin_form.comp_right_apply 0.004244 s: bilin_form.is_adjoint_pair_iff_comp_left_eq_comp_right 0.000400 s: bilin_form.comp_right.equations._eqn_1 0.047855 s: bilin_form.to_matrix'_comp_right 0.041786 s: bilin_form.to_matrix'_to_bilin' 0.053702 s: is_adjoint_pair_to_bilin' 0.049601 s: mem_pair_self_adjoint_matrices_submodule 0.021185 s: mem_self_adjoint_matrices_submodule 0.001239 s: submonoid.comap_map_comap 0.003500 s: parser.bounded.decorate_errors.equations._eqn_1 0.000110 s: nat.lattice.equations._eqn_1 0.000268 s: format.color.to_string._main.equations._eqn_3 0.000303 s: int.lor_bit 0.000401 s: set.image_hom._proof_4 0.001740 s: unit_of_invertible_inv 0.010925 s: matrix.special_linear_group.to_GL 0.010737 s: matrix.special_linear_group.to_GL.equations._eqn_1 0.000125 s: zsqrtd.conj._sunfold 0.001316 s: equiv.to_pequiv_symm 0.011759 s: conditionally_complete_linear_order_bot.cases_on 0.004484 s: conditionally_complete_linear_order_bot.no_confusion_type 0.004279 s: conditionally_complete_linear_order_bot.no_confusion 0.014800 s: conditionally_complete_linear_order_bot.mk.inj 0.022301 s: conditionally_complete_linear_order_bot.mk.inj_arrow 0.004888 s: function.injective.no_zero_divisors 0.000389 s: coe_tt 0.000574 s: linear_ordered_field.div._default 0.000536 s: homeomorph.no_confusion_type 0.000069 s: simps_cfg.short_name 0.072683 s: continuous_linear_map.op_norm_prod 0.175231 s: continuous_linear_map.prodₗᵢ._match_1 0.000058 s: tactic.explode.status.sizeof 0.000071 s: tactic.explode.status.lam.sizeof_spec 0.019424 s: ordered_cancel_comm_monoid.sizeof 0.000042 s: ordered_cancel_comm_monoid.has_sizeof_inst 0.005912 s: tactic_doc._2799395359 0.000099 s: tactic.delta_config.sizeof 0.000097 s: tactic.delta_config.mk.sizeof_spec 0.000166 s: stream.pure.equations._eqn_1 0.000069 s: widget.mouse_event_kind.cases_on 0.004273 s: computation.map._main._proof_1 0.001440 s: computation.map._main.equations._eqn_1 0.000921 s: computation.map.equations._eqn_1 0.002111 s: add_monoid_algebra.lift_nc_ring_hom._proof_2 0.000735 s: add_monoid_algebra.lift_nc_ring_hom._proof_3 0.000681 s: add_monoid_algebra.lift_nc_ring_hom._proof_4 0.012782 s: add_monoid_algebra.lift_nc_ring_hom 0.005638 s: add_monoid_algebra.lift_nc_alg_hom._proof_2 0.000207 s: quot.map_right 0.001128 s: setoid.quotient_quotient_equiv_quotient._proof_3 0.002682 s: local_equiv.eq_on_source.restr 0.000392 s: mfld_cfg 0.001564 s: times_cont_mdiff_map.no_confusion_type 0.000195 s: CommRing.colimits.colimit_type.equations._eqn_1 0.000292 s: writer_t.pure 0.000132 s: writer_t.pure.equations._eqn_1 0.000104 s: side.to_string._main 0.000010 s: side.to_string 0.000040 s: side.has_to_string 0.000025 s: side.has_to_string.equations._eqn_1 0.006344 s: is_glb.inter_Iic_of_mem 0.001136 s: function.injective.linear_ordered_add_comm_monoid._proof_4 0.131612 s: slim_check.int_gt.sampleable._proof_1 0.000194 s: slim_check.int_gt.sampleable._match_1 0.000344 s: slim_check.int_gt.sampleable._match_1.equations._eqn_1 0.166380 s: slim_check.int_gt.sampleable._proof_2 0.000641 s: slim_check.int_gt.sampleable 0.000479 s: slim_check.int_gt.sampleable.equations._eqn_1 0.028880 s: category_theory.limits.binary_fan.right_unitor_inv 0.000668 s: list.forall_of_pairwise 0.019498 s: measure_theory.simple_func.mul_eq_map₂ 0.001839 s: measure_theory.simple_func.fin_meas_supp.mul 0.013865 s: subring.closure_sUnion 0.000325 s: d_array.nil._match_1.equations._eqn_1 0.435931 s: polynomial.gal.gal_action_hom._proof_4 0.117713 s: complex.times_cont_diff_cosh 0.038206 s: times_cont_diff_within_at.ccosh 0.030319 s: nat.fib_add 0.000290 s: nat.coprime.gcd_mul_left_cancel_right 0.001899 s: nat.coprime.gcd_mul_right_cancel_right 0.009080 s: nat.fib_coprime_fib_succ 0.023823 s: nat.gcd_fib_add_self 0.013983 s: nat.gcd_fib_add_mul_self 0.004115 s: nat.fib_gcd 0.000429 s: nat.fib_dvd 0.002277 s: ring.fractional_ideal.map_equiv._proof_3 0.000071 s: as_linear_order.equations._eqn_1 0.000590 s: compact_exhaustion.cases_on 0.000296 s: compact_exhaustion.no_confusion_type 0.000415 s: compact_exhaustion.no_confusion 0.000590 s: compact_exhaustion.mk.inj 0.000506 s: compact_exhaustion.mk.inj_arrow 0.003187 s: ordnode.all.imp 0.002831 s: ordnode.bounded.mem_gt 0.002380 s: ordnode.bounded.mem_lt 0.000544 s: ordnode.bounded.to_sep 0.387159 s: formal_multilinear_series.unshift._main.equations._eqn_2 0.020090 s: multilinear_map.map._match_1 0.003159 s: multilinear_map.map._match_2 0.001716 s: multilinear_map.map._proof_1 0.001397 s: multilinear_map.map 0.001617 s: subalgebra.inhabited 0.001175 s: subalgebra.inhabited.equations._eqn_1 0.000333 s: add_le_of_le_of_nonpos' 0.000263 s: add_lt_of_lt_of_nonpos' 0.000247 s: add_lt_of_lt_of_neg' 0.000502 s: turing.TM2.supports_stmt._sunfold 0.000180 s: slim_check.and.printable_prop 0.000278 s: real.measurable_arctan 0.000371 s: measurable.arctan 0.004690 s: convex.combo_self 1.012430 s: convex.mem_Ioo 0.836849 s: convex.mem_Ico 0.042314 s: direct_sum.gcomm_monoid.mul_comm 0.034593 s: _private.2166761581.mul_comm 0.001727 s: direct_sum.comm_semiring._proof_16 0.005624 s: category_theory.limits.coprod.map_inl_inr_codiag 0.001740 s: category_theory.limits.coprod.map_inl_inr_codiag_assoc 0.000355 s: game.lt._proof_1 0.000152 s: game.lt 0.000192 s: game.lt.equations._eqn_1 0.000048 s: int.shiftr 0.000070 s: int.shiftr.equations._eqn_1 0.000184 s: buffer.foldl._main 0.000031 s: buffer.foldl 0.000745 s: list.eq_or_ne_mem_of_mem 0.005482 s: list.prod_erase 0.007631 s: category_theory.triangulated.rot_comp_inv_rot_hom_app_hom₂ 0.000229 s: measurable_space.ext_iff 0.003247 s: list.sum_hom_rel 0.003118 s: multiset.sum_hom_rel 0.000570 s: finset.sum_hom_rel 0.018041 s: rank.equations._eqn_1 0.035040 s: rank_zero 0.094417 s: dim_add_le_dim_add_dim 0.038340 s: rank_add_le 0.019359 s: rank_finset_sum_le 0.000169 s: pnat.decidable_eq.equations._eqn_1 0.000473 s: is_right_distrib 0.001605 s: open_add_subgroup.sum._proof_2 0.000071 s: reader_t.lift 0.000088 s: reader_t.has_monad_lift 0.000595 s: reader_t.mk_label._main 0.000138 s: reader_t.mk_label 0.000360 s: reader_t.call_cc 0.000155 s: reader_t.monad_cont 0.000728 s: reader_t.call_cc.equations._eqn_1 0.001143 s: reader_t.run_bind 0.000833 s: is_lawful_monad_cont.call_cc_bind_right 0.000759 s: reader_t.ext 0.002505 s: reader_t.is_lawful_monad_cont._proof_2 0.001828 s: pi_nnnorm_const 0.069984 s: linear_map.conjugate_i 0.025638 s: finset.sum_sum_elim 0.172897 s: finset.center_mass_segment' 0.150146 s: convex_hull_eq 0.136006 s: finset.center_mass_subset 0.027022 s: finset.center_mass_filter_ne_zero 0.289558 s: convex_on.exists_ge_of_center_mass 0.063226 s: convex_on.exists_ge_of_mem_convex_hull 0.233695 s: convex_hull_exists_dist_ge 0.000161 s: has_bind.sizeof 0.000571 s: pfunctor.M.approx.s_mk._main.equations._eqn_2 0.000187 s: is_local_max_on.equations._eqn_1 0.033124 s: measure_theory.measure.regular.exists_compact_not_null 0.044996 s: measure_theory.is_mul_left_invariant.null_iff_empty 0.008830 s: measure_theory.is_mul_left_invariant.measure_ne_zero_iff_nonempty 0.002141 s: multiset.single_le_sum 0.000110 s: has_dist.cases_on 0.000138 s: has_dist.no_confusion_type 0.000220 s: has_dist.no_confusion 0.000155 s: has_dist.mk.inj 0.002069 s: category_theory.lifted_limit_maps_to_original.equations._eqn_1 0.000091 s: semiquot.univ._proof_1 0.000102 s: semiquot.univ 0.000918 s: semiquot.is_pure_univ 0.000222 s: lists.setoid 0.000040 s: finsets 0.000074 s: finsets.equations._eqn_1 0.000090 s: finsets.decidable_eq._proof_1 0.000085 s: lists.equiv.decidable 0.000528 s: finsets.decidable_eq 0.000418 s: finsets.decidable_eq.equations._eqn_1 0.173232 s: smooth_bump_function.cases_on 0.021413 s: algebraic_geometry.PresheafedSpace.restrict_carrier 0.010110 s: is_group_hom.preimage 0.002556 s: is_group_hom.preimage_normal 0.000256 s: is_group_hom.normal_subgroup_ker 0.000326 s: is_subgroup.dcases_on 0.000050 s: nzsnum.head._sunfold 0.000433 s: linear_map.module.End.division_ring._proof_20 0.001217 s: quadratic_form.isometry.symm._proof_3 0.000030 s: int.has_to_string 0.000179 s: omega.term.to_string._match_1 0.000235 s: omega.term.to_string._match_1.equations._eqn_1 0.003382 s: typevec.of_subtype'._main.equations._eqn_1 0.001416 s: typevec.of_subtype'.equations._eqn_1 0.000465 s: submodule.to_ordered_add_comm_group._proof_1 0.001337 s: submodule.to_ordered_add_comm_group._proof_2 0.001533 s: submodule.to_ordered_add_comm_group._proof_3 0.001184 s: submodule.to_ordered_add_comm_group._proof_4 0.011420 s: submodule.to_ordered_add_comm_group 0.000219 s: pos_num.lxor._sunfold 0.002422 s: sesq_form.comp_right.equations._eqn_1 0.002697 s: perfection.lift_symm_apply 0.001568 s: set.Icc_subset_Ioc_iff 0.000776 s: order_embedding.map_inf_le 0.004591 s: order_iso.map_inf 0.009843 s: order_iso.map_sup 0.017447 s: order_iso.is_compl 0.000482 s: tactic.merge_list._main.equations._eqn_3 0.000129 s: tactic.merge_list.equations._eqn_3 0.002795 s: set.preimage_mul_preimage_subset 0.002897 s: filter.comap_mul_comap_le 0.000087 s: has_edist.no_confusion_type 0.000205 s: has_edist.no_confusion 0.000323 s: has_edist.mk.inj 0.000113 s: has_edist.mk.inj_arrow 0.001202 s: slim_check.sampleable_ext.cases_on 0.000796 s: slim_check.sampleable_ext.no_confusion_type 0.001053 s: slim_check.sampleable_ext.no_confusion 0.000877 s: slim_check.sampleable_ext.mk.inj 0.001914 s: affine_equiv.symm_linear 0.046060 s: zmod.frobenius_zmod 0.000666 s: is_preconnected.equations._eqn_1 0.000390 s: open_add_subgroup.has_top._proof_2 0.000243 s: open_add_subgroup.has_top._proof_3 0.000606 s: open_add_subgroup.has_top 0.000120 s: open_add_subgroup.semilattice_inf_top._proof_1 0.000155 s: open_add_subgroup.semilattice_inf_top._proof_2 0.007156 s: open_add_subgroup.semilattice_inf_top._proof_3 0.000549 s: open_add_subgroup.semilattice_inf_top._proof_4 0.000256 s: open_add_subgroup.semilattice_inf_top._proof_6 0.000280 s: open_add_subgroup.semilattice_inf_top._proof_7 0.000193 s: open_add_subgroup.semilattice_inf_top._proof_8 0.003545 s: open_add_subgroup.semilattice_inf_top._proof_9 0.002502 s: open_add_subgroup.semilattice_inf_top._proof_10 0.000598 s: open_add_subgroup.semilattice_inf_top._proof_11 0.007882 s: open_add_subgroup.semilattice_inf_top 0.000205 s: open_add_subgroup.semilattice_sup_top._proof_2 0.007900 s: category_theory.limits.diagram_of_cones.mk_of_has_limits_cone_points 0.026705 s: times_cont_diff_on.fderiv_of_open 0.000019 s: compare_reals.Q 0.000066 s: compare_reals.Q.comm_ring 0.131287 s: compare_reals.Q.uniform_space 0.165809 s: compare_reals.Q.uniform_space.equations._eqn_1 0.176835 s: intermediate_field.lift2_alg_equiv.equations._eqn_1 0.000310 s: category_theory.quotient.hom 0.000377 s: category_theory.quotient.hom.equations._eqn_1 0.000420 s: ordinal.is_equivalent._match_3.equations._eqn_1 0.089950 s: irrational.mul_cases 0.000799 s: category_theory.limits.lim_obj 0.000124 s: list.has_dec_eq._main._proof_3 0.001551 s: list.has_dec_eq._main.equations._eqn_3 0.000366 s: list.has_dec_eq.equations._eqn_3 0.029400 s: complex.semimodule.equations._eqn_1 0.000807 s: local_homeomorph.of_set_apply 0.005907 s: local_homeomorph.of_set_symm 0.002668 s: local_homeomorph.of_set_univ_eq_refl 0.000177 s: omega.nat.preterm.val._main.equations._eqn_1 0.000477 s: opposite.semiconj_by.unop 0.000139 s: opposite.commute.unop 0.000140 s: finset.singleton_nonempty 0.001948 s: finset.max_singleton 0.000451 s: option.get_some 0.001213 s: finset.max'_singleton 0.001117 s: list.to_string_aux._main.equations._eqn_2 0.000265 s: list.to_string_aux.equations._eqn_2 0.000185 s: format.color.to_string._main.equations._eqn_7 0.001865 s: subgroup.to_add_subgroup._proof_2 0.000208 s: is_total_preorder.drec_on 0.000152 s: is_irrefl.dcases_on 0.584176 s: AddCommGroup.limit_add_comm_group.equations._eqn_1 0.000369 s: category_theory.limits.has_images.cases_on 0.000147 s: category_theory.limits.has_images.no_confusion_type 0.000381 s: category_theory.limits.has_images.no_confusion 0.000371 s: wseq.compute._match_1.equations._eqn_2 0.000219 s: semiquot.sizeof 0.000158 s: quotient_map.surjective 0.008154 s: circle_deg1_lift.units_inv_apply_apply 0.006162 s: circle_deg1_lift.units_apply_inv_apply 0.005356 s: circle_deg1_lift.to_order_iso._proof_3 0.000397 s: category_theory.limits.reflects_colimits.cases_on 0.000224 s: category_theory.limits.reflects_colimits.no_confusion_type 0.000534 s: category_theory.limits.reflects_colimits.no_confusion 0.000342 s: category_theory.limits.reflects_colimits.mk.inj 0.003869 s: measure_theory.integrable_on_finite_union 0.001590 s: complete_semilattice_Inf.sizeof 0.000055 s: complete_semilattice_Inf.has_sizeof_inst 0.003226 s: mul_equiv.of_bijective.equations._eqn_1 0.000148 s: list.prod_reverse 0.000283 s: ring_hom.to_localization_map._proof_1 0.000208 s: ring_hom.to_localization_map._proof_2 0.000262 s: ring_hom.to_localization_map._proof_3 0.000311 s: ring_hom.to_localization_map._proof_4 0.010918 s: ring_hom.to_localization_map 0.000883 s: subgroup.center.equations._eqn_1 0.000461 s: ordnode.insert._match_1.equations._eqn_1 0.000023 s: cc_config.ignore_instances._default 0.000023 s: cc_config.ignore_instances._default.equations._eqn_1 0.000223 s: pgame.setoid.equations._eqn_1 0.000111 s: pnat.xgcd_type.flip_y 0.177535 s: times_cont_diff.continuous_fderiv 0.000491 s: category_theory.grothendieck_topology.is_closed 0.004832 s: category_theory.grothendieck_topology.is_closed_pullback 0.002184 s: category_theory.functor.closed_sieves._proof_1 0.007031 s: category_theory.functor.closed_sieves._proof_2 0.010837 s: category_theory.functor.closed_sieves._proof_3 0.002963 s: category_theory.functor.closed_sieves 0.000230 s: Module.cases_on 0.000311 s: Module.no_confusion_type 0.000506 s: Module.no_confusion 0.000494 s: Module.mk.inj 0.000525 s: Module.mk.inj_arrow 0.000353 s: category_theory.limits.biproduct.components._proof_1 0.000255 s: category_theory.limits.biproduct.components._proof_2 0.000157 s: category_theory.limits.biproduct.components._proof_3 0.000138 s: category_theory.limits.biproduct.components._proof_4 0.000370 s: category_theory.limits.biproduct.components._proof_5 0.000247 s: category_theory.limits.biproduct.components._proof_6 0.001471 s: category_theory.limits.biproduct.components 0.001917 s: category_theory.limits.biproduct.components.equations._eqn_1 0.005010 s: category_theory.limits.biproduct.matrix_components 0.001791 s: category_theory.limits.biproduct.matrix_equiv._proof_6 0.001972 s: finset.pi_val 0.000212 s: computation.corec.F._sunfold 0.000202 s: mul_zero_class.sizeof 0.002114 s: mul_zero_class.mk.sizeof_spec 0.000048 s: lists'.nil.inj 0.000322 s: submonoid.sizeof 0.000078 s: submonoid.has_sizeof_inst 0.004210 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right' 0.000036 s: fin2.insert_perm 0.002293 s: fin2.insert_perm._sunfold 0.000051 s: category_theory.limits.walking_parallel_pair_hom.id.inj 0.000041 s: category_theory.limits.walking_parallel_pair_hom.id.inj_arrow 0.003498 s: subsemiring.topological_closure_minimal 0.000284 s: mul_equiv.to_additive._proof_4 0.000072 s: has_edist.rec_on 0.000443 s: computation.length.equations._eqn_1 0.002717 s: functor.comp.applicative_comp_id 0.004374 s: traversable.map_traverse 0.001554 s: traversable.map_traverse' 0.003662 s: linear_equiv.skew_prod_symm_apply 0.045430 s: emetric.diam_insert 0.016603 s: ennreal.sup_eq_max 0.031549 s: emetric.diam_subsingleton 0.000393 s: emetric.diam_singleton 0.013374 s: emetric.diam_triple 0.006852 s: ennreal.to_real_max 0.007498 s: metric.diam_triple 0.003476 s: category_theory.triangulated.triangle_morphism.rotate.equations._eqn_1 0.000793 s: le_mul_of_one_le_left' 0.000288 s: lt_mul_of_one_le_of_lt' 0.029228 s: nat.mul_lt_mul_pow_succ 0.024037 s: disjoint_nhds_at_bot 0.000448 s: not_tendsto_nhds_of_tendsto_at_bot 0.001348 s: eckmann_hilton.group.is_unital 0.006338 s: eckmann_hilton.comm_group._proof_1 0.000228 s: function.right_inverse.id 0.000336 s: has_monad_lift_t_trans.equations._eqn_1 0.000128 s: Class.has_insert.equations._eqn_1 0.000254 s: add_hom.congr_arg 0.001280 s: filter.eventually_le.congr 0.057130 s: norm'.equations._eqn_1 0.040354 s: matrix.unitary_group.star_mul_self 0.000100 s: coe_bool_to_Prop.equations._eqn_1 0.009276 s: category_theory.equivalence.sizeof 0.000092 s: category_theory.equivalence.has_sizeof_inst 0.000143 s: category_theory.has_shift.sizeof 0.000040 s: category_theory.has_shift.has_sizeof_inst 0.004861 s: is_lawful_traversable.cases_on 0.000302 s: nat.decidable_eq.equations._eqn_3 0.018618 s: localization_map.of_id 0.000991 s: countable_Inter_filter_principal.equations._eqn_1 0.000670 s: ulift.neg_down 0.004277 s: multiset.erase_add_left_pos 0.000819 s: category_theory.tensoring_right_monoidal._proof_1 0.000326 s: finsupp.no_confusion_type 0.000590 s: finsupp.no_confusion 0.000597 s: finsupp.mk.inj 0.001159 s: continuous_add_monoid.equations._eqn_1 0.000540 s: matrix.has_add.equations._eqn_1 0.007159 s: category_theory.lax_monoidal.right_unitality 0.000191 s: measure_theory.is_add_left_invariant 0.000291 s: measure_theory.is_add_left_invariant.equations._eqn_1 0.000224 s: quotient_add_group.quotient.has_coe_t.equations._eqn_1 0.000921 s: alist.mem_keys 0.000270 s: mul_equiv.congr_fun 0.037245 s: ring.fractional_ideal.lattice.equations._eqn_1 0.012542 s: set.Iic_union_Ioc' 0.002964 s: set.Iic_union_Ioc 0.000137 s: ctop.has_coe_to_fun.equations._eqn_1 0.000068 s: vm_decl_kind.sizeof 0.000037 s: vm_decl_kind.builtin.sizeof_spec 0.000089 s: cardinal.prod 0.001109 s: cardinal.prod_mk 0.003239 s: cardinal.prod_const 0.011926 s: linear_map.fun_left_comp 0.003859 s: linear_map.fun_left_id 0.004044 s: linear_map.fun_congr_left._proof_1 0.003146 s: linear_map.fun_congr_left._proof_2 0.001428 s: linear_map.fun_congr_left 0.030621 s: linear_map.fun_congr_left_comp 0.000200 s: int.to_nat_one 0.000441 s: int.sign._main.equations._eqn_3 0.000365 s: ideal.is_maximal.drec_on 0.000027 s: nat.arithmetic_function.id._proof_1 0.000092 s: nat.arithmetic_function.id 0.002691 s: nat.arithmetic_function.pow 0.144870 s: SemiRing.sections_subsemiring.equations._eqn_1 0.000589 s: category_theory.limits.has_reflexive_coequalizers_of_has_coequalizers 0.000362 s: category_theory.limits.has_reflexive_coequalizers_of_has_coequalizers.equations._eqn_1 0.000301 s: pi.unique_of_empty.equations._eqn_1 0.000055 s: classical.type_decidable._match_1._proof_1 0.001931 s: norm_fst_le 0.000984 s: norm_snd_le 0.291547 s: continuous_multilinear_map.continuous_eval 0.017969 s: continuous_multilinear_map.continuous_eval_left 0.002110 s: lie_module_hom.ext_iff 0.007607 s: has_sum.update 0.019128 s: has_sum_lt 0.002423 s: tsum_lt_tsum 0.048436 s: tsum_lt_tsum_of_nonneg 0.000992 s: associates.bfactor_set_mem._main.equations._eqn_2 0.000392 s: associates.bfactor_set_mem.equations._eqn_2 0.000282 s: category_theory.limits.types.colimit_equiv_quot._proof_1 0.001818 s: multiset.foldl_add 0.060994 s: category_theory.colimit_adj.restricted_yoneda_yoneda.equations._eqn_1 0.014223 s: emetric_space_pi._proof_5 0.001412 s: nat.exists_mul_mod_eq_one_of_coprime 0.002485 s: exists_pow_eq_self_of_coprime 0.001383 s: exists_nsmul_eq_self_of_coprime 0.000462 s: alg_hom.has_coe_to_fun.equations._eqn_1 0.000030 s: pos_num.has_sizeof_inst 0.000070 s: znum.sizeof 0.000014 s: znum.has_sizeof_inst 0.000040 s: num.sizeof 0.000014 s: num.has_sizeof_inst 0.000103 s: tactic.ring2.horner_expr.sizeof 0.000016 s: tactic.ring2.horner_expr.has_sizeof_inst 0.000420 s: tactic.ring2.horner_expr.horner.sizeof_spec 0.000152 s: add_monoid_hom.has_coe_to_add_hom 0.000190 s: slim_check.injective_function.mk._proof_4 0.001960 s: category_theory.pairwise.comp._main.equations._eqn_4 0.000573 s: category_theory.pairwise.comp.equations._eqn_4 0.000354 s: free_algebra.pre.below 0.002146 s: free_algebra.pre.brec_on 0.000829 s: list.lookup_all._main 0.000086 s: list.lookup_all 0.000741 s: list.lookup_all_nil 0.001447 s: list.lookup_all_cons_eq 0.001655 s: list.lookup_all_cons_ne 0.007069 s: list.lookup_all_eq_nil 0.002341 s: pos_num.decidable_prime._main._proof_1 0.000887 s: pos_num.decidable_prime._main.equations._eqn_2 0.000804 s: lie_equiv.has_coe_to_linear_equiv 0.000409 s: dmatrix.map_apply 0.010526 s: associated_of_irreducible_of_dvd 0.000277 s: associated_of_prime_of_dvd 0.000216 s: mul_equiv.mul_equiv_of_unique_of_unique._proof_1 0.000091 s: mul_equiv.mul_equiv_of_unique_of_unique._proof_2 0.000151 s: mul_equiv.mul_equiv_of_unique_of_unique._proof_3 0.000349 s: mul_equiv.mul_equiv_of_unique_of_unique 0.000439 s: mul_equiv.unique._proof_1 0.089670 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_map_hom 0.000119 s: has_dvd.cases_on 0.000084 s: has_dvd.no_confusion_type 0.000470 s: has_dvd.no_confusion 0.000148 s: has_dvd.mk.inj 0.016876 s: subalgebra.fg_map 0.000540 s: algebra.finite_type.out 0.007412 s: algebra.finite_type.of_surjective 0.044188 s: ring_hom.finite_type.comp_surjective 0.030792 s: algebra.finite_type.self 0.012533 s: ring_hom.finite_type.id 0.001126 s: ring_hom.finite_type.of_surjective 0.000866 s: fin_enum.finset.enum._main 0.000070 s: fin_enum.finset.enum 0.003953 s: fin_enum.finset.enum._main.equations._eqn_2 0.000312 s: fin_enum.finset.enum.equations._eqn_2 0.000298 s: linear_isometry_equiv.inhabited 0.000128 s: eqv_gen.setoid.equations._eqn_1 0.000094 s: nat.sub_lt_succ 0.018254 s: add_submonoid.complete_lattice.equations._eqn_1 0.002534 s: category_theory.limits.is_limit_map_cone_pullback_cone_equiv._proof_1 0.001419 s: category_theory.limits.is_limit_of_has_pullback_of_preserves_limit._proof_1 0.001433 s: category_theory.limits.is_limit_map_cone_pullback_cone_equiv._proof_2 0.088739 s: category_theory.limits.is_limit_map_cone_pullback_cone_equiv._proof_3 0.032165 s: category_theory.limits.is_limit_map_cone_pullback_cone_equiv 0.003560 s: category_theory.limits.is_limit_pullback_cone_map_of_is_limit 0.002629 s: category_theory.limits.pullback_is_pullback._proof_1 0.003017 s: category_theory.limits.pullback_is_pullback._proof_2 0.004552 s: category_theory.limits.pullback_is_pullback._proof_3 0.003154 s: category_theory.limits.pullback_is_pullback 0.002972 s: category_theory.limits.is_limit_of_has_pullback_of_preserves_limit 0.001381 s: function.inv_on_fixed_pts_comp 0.000329 s: function.is_fixed_pt.map 0.000596 s: function.maps_to_fixed_pts_comp 0.000302 s: function.bij_on_fixed_pts_comp 0.000808 s: function.commute.right_bij_on_fixed_pts_comp 0.058965 s: mv_polynomial.map_equiv_symm 0.006663 s: category_theory.limits.reflects_colimit_of_nat_iso 0.007012 s: category_theory.creates_colimit_of_nat_iso 0.022222 s: category_theory.limits.comp_reflects_colimit 0.029946 s: category_theory.comp_creates_colimit 0.004090 s: category_theory.adjunction.is_equivalence_creates_colimits 0.025213 s: category_theory.limits.preserves_colimit_of_iso_diagram._proof_1 0.009991 s: category_theory.limits.preserves_colimit_of_iso_diagram 0.006613 s: category_theory.monadic_creates_colimit_of_preserves_colimit 0.001819 s: category_theory.map_is_split_pair 0.002058 s: category_theory.monad.creates_G_split_coequalizers_of_monadic._proof_1 0.010972 s: category_theory.monad.creates_G_split_coequalizers_of_monadic 0.001612 s: localization.induction_on₂ 0.000847 s: localization.induction_on₃ 0.006887 s: category_theory.prod.inverse_associator._proof_1 0.010622 s: category_theory.prod.inverse_associator._proof_2 0.009460 s: category_theory.prod.inverse_associator 0.002080 s: category_theory.prod.associator_obj 0.001212 s: category_theory.prod.inverse_associator_obj 0.002360 s: category_theory.prod.associativity._proof_1 0.033459 s: category_theory.prod.associativity._proof_2 0.007653 s: category_theory.prod.associativity._proof_3 0.032074 s: category_theory.prod.associativity._proof_4 0.012557 s: category_theory.prod.associativity 0.001114 s: category_theory.prod.associator_is_equivalence 0.000514 s: encodable.prod.equations._eqn_1 0.000017 s: mk_str_name 0.001537 s: linear_ordered_comm_monoid.decidable_lt._default 0.000843 s: linear_ordered_comm_monoid_with_zero.decidable_lt._default 0.000503 s: distrib.cases_on 0.000365 s: distrib.no_confusion_type 0.002575 s: category_theory.preadditive.cases_on 0.002101 s: norm_num.adc_zero 0.001415 s: Set.is_lawful_singleton 0.001259 s: submodule.sizeof 0.001729 s: model_with_corners.mk_coe 0.009096 s: basic_smooth_bundle_core.coe_chart_at_symm_fst 0.123353 s: unique_mdiff_on.smooth_bundle_preimage 0.000125 s: algebraic_geometry.SheafedSpace.sheaf._proof_5 0.000428 s: set.powerset_nonempty 0.000825 s: algebra.subalgebra.complete_lattice.equations._eqn_1 0.008521 s: integral_domain.cases_on 0.007424 s: integral_domain.no_confusion_type 0.002876 s: integral_domain.no_confusion 0.010209 s: integral_domain.mk.inj 0.014206 s: integral_domain.mk.inj_arrow 0.003249 s: measure_theory.dimH.equations._eqn_1 0.040817 s: continuous_map.linear_isometry_bounded_of_compact_of_compact_to_equiv 0.007119 s: multiset.filter_map_eq_filter 0.002069 s: magma.free_semigroup.lift_unique 0.001273 s: category_theory.evaluation_obj_obj 0.007739 s: int.modeq.modeq_sub 0.000292 s: quaternion_group.quaternion_group_zero_equiv_dihedral_group_zero._match_1 0.000177 s: quaternion_group.quaternion_group_zero_equiv_dihedral_group_zero._match_1.equations._eqn_1 0.000655 s: list.all_some._main 0.000062 s: list.all_some 0.001387 s: list.all_some._main.equations._eqn_3 0.000166 s: list.all_some.equations._eqn_3 0.000220 s: _private.4282378901.sub_sub_cancel 0.001561 s: polynomial.nat_trailing_degree_int_cast 0.031423 s: real.cosh_sq_sub_sinh_sq 0.000126 s: real.cosh.equations._eqn_1 0.102159 s: real.cosh_eq 0.048750 s: real.cosh_pos 0.006480 s: real.sqrt_one_add_sinh_sq 0.007992 s: is_R_or_C.bit0_re 0.000193 s: is_add_hom.rec_on 0.001358 s: measure_theory.measure.haar_outer_measure_of_is_open 0.000353 s: topological_space.opens.coe_mk 0.002275 s: is_open_diff 0.001932 s: exists_open_nhds_one_mul_subset 0.000338 s: set.mul_mem_mul 0.015738 s: compact_open_separated_mul 0.007454 s: finset.card_union_eq 0.031862 s: measure_theory.measure.haar.index_union_eq 0.058515 s: measure_theory.measure.haar.prehaar_sup_eq 0.002609 s: set.disjoint_of_subset 0.000968 s: set.inv_subset_inv 0.010186 s: set.inv_subset 0.097467 s: measure_theory.measure.haar.chaar_sup_eq 0.021660 s: set.subset_diff 0.001799 s: topological_space.compacts.sup_val 0.050222 s: measure_theory.measure.haar_caratheodory_measurable 0.000483 s: measure_theory.measure.haar_measure 0.006320 s: measure_theory.measure.regular.lt_top_of_is_compact 0.001191 s: measure_theory.measure.regular.sigma_finite 0.000170 s: homeomorph.mul_right._proof_1 0.000089 s: homeomorph.mul_right._proof_2 0.002758 s: homeomorph.mul_right._proof_3 0.001277 s: homeomorph.mul_right._proof_4 0.000931 s: homeomorph.mul_right 0.001769 s: homeomorph.image_symm 0.000367 s: homeomorph.compact_image 0.000710 s: homeomorph.compact_preimage 0.013082 s: separable_locally_compact_group.sigma_compact_space 0.000456 s: infi_and' 0.002587 s: measure_theory.measure.regular.outer_regular 0.004187 s: supr_and 0.000308 s: supr_and' 0.017463 s: measure_theory.measure.regular.smul 0.010195 s: measure_theory.inner_content_le 0.001564 s: measure_theory.outer_measure.of_content_le 0.001461 s: measure_theory.measure.haar.index_mono 0.031393 s: measure_theory.measure.haar.prehaar_mono 0.047149 s: measure_theory.measure.haar.chaar_mono 0.010723 s: measure_theory.measure.haar.echaar_mono 0.001439 s: measure_theory.measure.haar_outer_measure_le_echaar 0.003353 s: measure_theory.measure.haar_outer_measure_lt_top_of_is_compact 0.010661 s: measure_theory.outer_measure.of_content_eq_infi 0.001296 s: measure_theory.measure.haar_outer_measure_eq_infi 0.000493 s: measure_theory.measure.echaar_le_haar_outer_measure 0.002736 s: measure_theory.is_mul_left_invariant_inner_content 0.037944 s: measure_theory.inner_content_pos_of_is_mul_left_invariant 0.009088 s: measure_theory.outer_measure.of_content_pos_of_is_mul_left_invariant 0.002971 s: measure_theory.measure.haar.is_left_invariant_prehaar 0.083733 s: measure_theory.measure.haar.is_left_invariant_chaar 0.018527 s: measure_theory.measure.haar.is_left_invariant_echaar 0.050377 s: measure_theory.measure.haar.prehaar_self 0.088137 s: measure_theory.measure.haar.chaar_self 0.024839 s: measure_theory.measure.haar.echaar_self 0.002224 s: measure_theory.measure.haar_outer_measure_pos_of_is_open 0.004288 s: measure_theory.measure.haar_outer_measure_self_pos 0.014825 s: measure_theory.measure.regular_haar_measure 0.000384 s: measure_theory.measure.haar_measure.measure_theory.sigma_finite 0.000706 s: ordnode.insert._main.equations._eqn_1 0.000203 s: ordnode.insert.equations._eqn_1 0.000236 s: except.return.equations._eqn_1 0.013328 s: nnreal.real.algebra 0.000073 s: int.even_or_odd 0.000977 s: algebraic_geometry.LocallyRingedSpace.no_confusion 0.004532 s: equiv.perm.sum_congr_hom.decidable_mem_range.equations._eqn_1 0.011910 s: measure_theory.measure.zero_le 0.000180 s: measure_theory.measure.nonpos_iff_eq_zero' 0.006939 s: measure_theory.measure.sub_eq_zero_of_le 0.000045 s: band._sunfold 0.000563 s: computability.unary_encode_nat._main 0.000046 s: computability.unary_encode_nat 0.000034 s: computability.unary_encode_nat._sunfold 0.000958 s: list.alternating_sum._main.equations._eqn_3 0.000234 s: list.alternating_sum.equations._eqn_3 0.001270 s: list.alternating_sum_cons_cons 0.000266 s: list.ordered_insert._sunfold 0.000121 s: list.concat._sunfold 0.001506 s: set.mem_compl_singleton_iff 0.000377 s: set.compl_singleton_eq 0.000244 s: list.permutations_aux 0.000033 s: list.permutations 0.000108 s: list.permutations.equations._eqn_1 0.001467 s: list.mem_permutations_of_perm_lemma 0.000193 s: dfinsupp.equations._eqn_1 0.000148 s: metric.sphere.equations._eqn_1 0.072281 s: differentiable_within_at.rpow 0.079432 s: differentiable_on.rpow 0.000077 s: path_setoid 0.000050 s: zeroth_homotopy 0.000081 s: zeroth_homotopy.equations._eqn_1 0.000381 s: re_pred 0.000143 s: re_pred.equations._eqn_1 0.016596 s: linear_equiv.of_top.equations._eqn_1 0.000275 s: rel_iso.group._proof_1 0.003499 s: rel_iso.group._proof_2 0.001786 s: rel_iso.group._proof_3 0.001664 s: rel_iso.group._proof_5 0.004925 s: rel_iso.group._proof_6 0.004553 s: rel_iso.group._proof_7 0.000138 s: rel_iso.group._proof_8 0.001459 s: rel_iso.group._proof_9 0.001465 s: rel_iso.group._proof_10 0.006289 s: rel_iso.group._proof_11 0.007987 s: rel_iso.group._proof_12 0.030917 s: rel_iso.group._proof_13 0.005693 s: rel_iso.symm_apply_apply 0.058557 s: rel_iso.group._proof_14 0.037279 s: rel_iso.group 0.001663 s: rel_iso.coe_one 0.008034 s: lie_equiv.of_injective._proof_2 0.003784 s: group.rec_on 0.000100 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.sizeof 0.000067 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.has_sizeof_inst 0.000055 s: tactic.rewrite_search.dir_pair.has_sizeof_inst 0.000170 s: tactic.rewrite_search.using_conv.app_addr.nested.pack_0_0_0.tactic.rewrite_search.dir_pair.mk.spec 0.000076 s: tactic.rewrite_search.using_conv.app_addr.primitive.pack.option.none.spec 0.000138 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.none.sizeof_spec 0.000071 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.sizeof 0.000034 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.has_sizeof_inst 0.000115 s: tactic.rewrite_search.using_conv.app_addr.primitive.pack.option.some.spec 0.000070 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.sizeof 0.001341 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.some.sizeof_spec 0.002768 s: tactic.rewrite_search.using_conv.app_addr.primitive.sizeof_pack 0.002350 s: tactic.rewrite_search.using_conv.app_addr.nested.sizeof_pack_0_0_0 0.000384 s: tactic.rewrite_search.using_conv.app_addr.sizeof_pack_0_0 0.000497 s: ordered_connected_space.equations._eqn_1 0.016556 s: category_theory.limits.colimit.ι_desc_app 0.002013 s: category_theory.colimit_adj.restricted_yoneda.equations._eqn_1 0.146128 s: polynomial.splits_pow 0.000400 s: polynomial.splits_X_pow 0.000256 s: polynomial.gal.unique_gal_X_pow._proof_1 0.000187 s: polynomial.gal.unique_gal_X_pow 0.000416 s: polynomial.gal.unique_gal_X_pow.equations._eqn_1 0.000313 s: intermediate_field.fg 0.019973 s: intermediate_field.eq_adjoin_of_eq_algebra_adjoin 0.003525 s: intermediate_field.fg_of_fg_to_subalgebra 0.011723 s: subalgebra.fg_of_fg_to_submodule 0.000428 s: subalgebra.fg_of_noetherian 0.103034 s: intermediate_field.fg_of_noetherian 0.000492 s: slim_check.injective_function.sizeof 0.000955 s: subsemiring.has_top.equations._eqn_1 0.013476 s: finset.sum_pair 0.010146 s: finset.sum_eq_add_of_mem 0.000263 s: is_associative.drec_on 0.000308 s: uniform_continuous₂.uniform_continuous 0.088086 s: Hausdorffification.of 0.000715 s: finset.subset.antisymm_iff 0.012591 s: finset.inter_subset_inter 0.006343 s: finset.sdiff_inter_self 0.000169 s: finset.superset.trans 0.002900 s: sdiff_inf_self_left 0.004099 s: finset.sdiff_inter_self_left 0.000127 s: superset.equations._eqn_1 0.000306 s: sdiff_le_sdiff 0.004555 s: finset.sdiff_subset_sdiff 0.001376 s: finset.sdiff_empty 0.003822 s: finset.sdiff_eq_self 0.001134 s: finset.sdiff_eq_self_iff_disjoint 0.000863 s: compact_space_Icc.equations._eqn_1 0.001983 s: equiv.prod_congr_left._proof_1 0.001746 s: equiv.prod_congr_left._proof_2 0.000411 s: equiv.prod_congr_left 0.001060 s: fintype.exists_univ_list 0.004405 s: equiv.perm.prod_extend_right._proof_1 0.005040 s: equiv.perm.prod_extend_right._proof_2 0.000533 s: equiv.perm.prod_extend_right 0.000983 s: equiv.perm.prod_extend_right_apply_ne 0.000713 s: equiv.perm.prod_extend_right_apply_eq 0.011907 s: equiv.perm.prod_prod_extend_right 0.000647 s: monoid_hom.map_list_prod 0.001729 s: equiv.perm.is_swap.sign_eq 0.001922 s: equiv.perm.sign_prod_list_swap 0.011774 s: equiv.perm.of_subtype.equations._eqn_1 0.003910 s: equiv.perm.subtype_perm.equations._eqn_1 0.027314 s: equiv.perm.of_subtype_subtype_perm 0.029712 s: equiv.perm.is_swap.of_subtype_is_swap 0.012489 s: equiv.perm.sign_subtype_perm 0.021189 s: equiv.perm.sign_bij 0.002579 s: equiv.perm.eq_of_prod_extend_right_ne 0.004578 s: equiv.perm.sign_prod_extend_right 0.014058 s: equiv.perm.sign_prod_congr_right 0.008590 s: equiv.perm.sign_prod_congr_left 0.012285 s: polynomial.trailing_degree_le_trailing_degree 0.002840 s: semiring.sizeof 0.017313 s: monoid_hom.ext_mint 0.000038 s: onote.has_sizeof_inst 0.002592 s: onote.oadd.sizeof_spec 0.000167 s: state_t.eval 0.005111 s: submodule.topological_closure_has_continuous_smul 0.006208 s: submodule.topological_closure_has_continuous_smul.equations._eqn_1 0.001224 s: Set.insert._match_2.equations._eqn_1 0.000141 s: trunc_of_card_pos._proof_1 0.000140 s: trunc_of_card_pos 0.000302 s: ordnode.find._match_1.equations._eqn_2 0.001706 s: list.chain_iff 0.017117 s: list.map_snd_zip 0.003901 s: slim_check.injective_function.shrink._match_1._proof_2 0.002966 s: linear_isometry.antilipschitz 0.000779 s: rbtree.insert._main 0.000163 s: rbtree.insert 0.000313 s: rbmap.insert 0.000536 s: rbmap.insert.equations._eqn_1 0.003547 s: category_theory.limits.cokernel.condition_apply 0.001710 s: lie_module.is_nilpotent.nilpotent 96.884151 s: lie_module.derived_series_le_lower_central_series 0.012918 s: lie_algebra.is_solvable_of_is_nilpotent 0.013679 s: lie_algebra.is_solvable_of_is_nilpotent.equations._eqn_1 0.000060 s: rat.semigroup.equations._eqn_1 0.005983 s: fin_bounded_random._match_1 0.003020 s: category_theory.initial.mono_to.equations._eqn_1 0.023756 s: pell.yn_modeq_a_sub_one 0.031273 s: quadratic_form.add_comm_group.equations._eqn_1 0.000074 s: pos_num.is_one._main 0.000245 s: pos_num.is_one._main.equations._eqn_3 0.009086 s: Top.prelocal_predicate.sizeof 0.000114 s: Top.prelocal_predicate.has_sizeof_inst 0.002029 s: Top.local_predicate.sizeof 0.003871 s: Top.local_predicate.mk.sizeof_spec 0.000129 s: category_theory.single_obj.to_End._proof_1 0.000076 s: category_theory.single_obj.to_End._proof_2 0.000478 s: category_theory.single_obj.to_End._proof_3 0.000854 s: category_theory.single_obj.to_End 0.001813 s: units.to_Aut 0.000902 s: units.to_Aut.equations._eqn_1 0.002283 s: equiv.semiconj₂_conj 0.000509 s: equiv.arrow_congr.is_associative 0.000681 s: equiv.arrow_congr.is_associative.equations._eqn_1 0.000928 s: enat.order_top.equations._eqn_1 0.000375 s: slim_check.sampleable_functor.cases_on 0.000035 s: name.inhabited 0.000026 s: name.inhabited.equations._eqn_1 0.004582 s: Module.category_theory.preadditive.equations._eqn_1 0.264567 s: bernoulli'_two 0.000495 s: turing.to_partrec.step_ret._main.equations._eqn_1 0.044066 s: inv_mul_le_of_le_mul 0.000309 s: inv_mul_le_left_of_le_mul 0.000103 s: pSet.no_confusion_type 0.000474 s: pSet.no_confusion 0.000231 s: pSet.mk.inj 0.005101 s: measure_theory.simple_func.add_comm_monoid.equations._eqn_1 0.000236 s: slim_check.combine._sunfold 0.033010 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_1 0.058765 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_2 0.067046 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_3 0.037104 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_4 0.059232 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_5 0.066146 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_6 0.338086 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_7 0.364496 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso._proof_8 0.086088 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso 0.036849 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_1 0.030704 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_2 0.023286 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_3 0.026915 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_4 0.189661 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_5 0.248717 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_6 1.805984 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso._proof_8 0.087017 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso 0.690898 s: category_theory.monoidal.CommMon_functor_category_equivalence._proof_1 0.000584 s: vector.of_fn._sunfold 0.010765 s: prod.lex.is_well_order._match_3.equations._eqn_1 0.008326 s: Module.epi_as_hom''_mkq 0.020527 s: lagrange.linterpolate._proof_1 0.049440 s: lagrange.linterpolate._proof_2 0.037310 s: lagrange.linterpolate 0.032210 s: lagrange.interpolate_smul 0.009701 s: category_theory.sigma.desc_map._main.equations._eqn_1 0.002605 s: category_theory.sigma.desc_map.equations._eqn_1 0.000639 s: pfunctor.M.corec.equations._eqn_1 0.001241 s: turing.partrec_to_TM2.tr_cont._main 0.000703 s: turing.partrec_to_TM2.tr_cont._main.equations._eqn_2 0.000125 s: int.add_monoid.equations._eqn_1 0.001408 s: list.subperm.erase 0.002445 s: list.subperm.diff_right 0.000553 s: list.subperm_cons_erase 0.000711 s: list.erase_cons_subperm_cons_erase 0.003655 s: list.subperm_cons_diff 0.000277 s: list.subset_cons_diff 0.000398 s: add_left_cancel_semigroup.cases_on 0.000322 s: add_left_cancel_semigroup.no_confusion_type 0.000325 s: add_left_cancel_semigroup.no_confusion 0.000124 s: ε_NFA.accept 0.000204 s: ε_NFA.step_set 0.000117 s: ε_NFA.eval_from 0.000079 s: ε_NFA.start 0.000050 s: ε_NFA.eval 0.000125 s: ε_NFA.accepts 0.000283 s: ε_NFA.accepts.equations._eqn_1 0.000131 s: omega.nat.nonnegate._sunfold 0.000271 s: mul_hom.sizeof 0.000417 s: slim_check.injective_function.has_sizeof._match_1 0.000067 s: slim_check.injective_function.has_sizeof 0.000643 s: lazy_list.monad 0.001181 s: slice_sizes._main._pack._wf_rec_mk_dec_tactic._aux_1 0.001064 s: slim_check.injective_function.slice_sizes._main._pack 0.000037 s: slim_check.injective_function.slice_sizes._main 0.000015 s: slim_check.injective_function.slice_sizes 0.000130 s: slim_check.injective_function.perm.slice 0.001914 s: slim_check.injective_function.perm.slice._main._proof_1 0.000180 s: slim_check.injective_function.perm.slice._main._proof_2 0.002780 s: slim_check.injective_function.perm.slice._main.equations._eqn_1 0.002521 s: slim_check.injective_function.perm.slice.equations._eqn_1 0.043922 s: list.sizeof_slice_lt 0.003482 s: nat.lt_of_div_lt_div 0.024204 s: slim_check.injective_function.shrink_perm._main 0.000292 s: slim_check.injective_function.shrink_perm 0.013643 s: list.map_fst_zip 0.001596 s: slim_check.injective_function.has_sizeof._match_1.equations._eqn_1 0.019935 s: slim_check.injective_function.shrink._match_1 0.003321 s: slim_check.injective_function.shrink._main 0.000160 s: slim_check.injective_function.shrink 0.000159 s: slim_check.injective_function.shrink._main._proof_1 0.006293 s: slim_check.injective_function.shrink._main.equations._eqn_1 0.001399 s: slim_check.injective_function.shrink.equations._eqn_1 0.017525 s: ideal.ker_lift_alg_to_ring_hom 0.000090 s: id.monad_run 0.009476 s: category_theory.arrow.lift.fac_right_of_to_mk 0.003570 s: category_theory.arrow.lift.fac_right_of_to_mk_assoc 0.000499 s: ring_hom.map_bit0 0.001558 s: ring_hom.map_bit1 0.009028 s: is_R_or_C.bit1_re 0.005884 s: is_R_or_C.bit0_im 0.019210 s: is_R_or_C.bit1_im 0.074623 s: is_R_or_C.conj_bit1 0.000358 s: num.to_znum._main.equations._eqn_1 0.000035 s: num.to_znum.equations._eqn_1 0.020443 s: formal_multilinear_series.restrict_scalars.equations._eqn_1 0.000300 s: list.remove_nth._main 0.000033 s: list.remove_nth 0.000421 s: list.remove_nth._main.equations._eqn_2 0.000128 s: list.remove_nth.equations._eqn_2 0.005375 s: list.length_remove_nth 0.000314 s: real.continuous_rpow_of_ne_zero 0.077572 s: concave_on.translate_right 0.018138 s: concave_on.translate_left 0.007670 s: finsupp.coe_order_iso_multiset_symm 0.000105 s: right_ord_continuous 0.000089 s: left_ord_continuous 0.001002 s: left_ord_continuous.map_cSup 0.002112 s: right_ord_continuous.order_dual 0.033017 s: right_ord_continuous.map_cInf 0.010558 s: pgame.le_lt._main._pack.equations._eqn_1 0.000772 s: pgame.le_lt._main.equations._eqn_1 0.005001 s: mv_polynomial.monomial_add 0.020266 s: mv_polynomial.pderiv._proof_1 0.018008 s: mv_polynomial.pderiv._proof_2 0.006316 s: mv_polynomial.pderiv 0.003330 s: mv_polynomial.pderiv.equations._eqn_1 0.007692 s: mv_polynomial.pderiv_monomial 0.006250 s: mv_polynomial.pderiv_C 0.018363 s: mv_polynomial.pderiv_one 0.023546 s: mv_polynomial.monomial_mul 0.010080 s: finsupp.sub_single_one_add 0.006534 s: _private.4117863615.monomial_sub_single_one_add 0.007235 s: finsupp.add_sub_single_one 0.005249 s: _private.3903210799.monomial_add_sub_single_one 0.012497 s: mv_polynomial.pderiv_monomial_mul 0.026530 s: 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ennreal.to_real_of_real_mul 0.000106 s: metric.inductive_limit_dist._proof_1 0.000112 s: roption.rec_on 0.000366 s: fin.comm_semigroup._match_3.equations._eqn_1 0.000283 s: turing.TM1to1.Λ'.write.inj_arrow 0.008152 s: linear_map.coprod_equiv.equations._eqn_1 0.002681 s: local_homeomorph.piecewise_apply 0.009419 s: bundle_trivialization.piecewise._proof_6 0.001117 s: cardinal.order_bot.equations._eqn_1 0.001499 s: algebra.tensor_product.include_right._proof_1 0.004394 s: algebra.tensor_product.include_right._proof_2 0.008549 s: algebra.tensor_product.include_right._proof_3 0.005518 s: algebra.tensor_product.include_right._proof_4 0.019934 s: algebra.tensor_product.include_right._proof_5 0.005160 s: algebra.tensor_product.include_right 0.000576 s: complex.cpow_def_of_ne_zero 0.005902 s: has_strict_deriv_at.const_mul 0.076734 s: complex.has_strict_deriv_at_const_cpow 0.078402 s: filter.tendsto.const_cpow 0.000453 s: continuous_at.const_cpow 0.008422 s: continuous.const_cpow 0.000150 s: pi.nontrivial 0.002434 s: lt_add_of_lt_of_nonneg 0.021554 s: list.sizeof_lt_sizeof_of_mem 0.000469 s: subgroup.closure_univ 0.002414 s: strict_mono.mul_monotone 0.001742 s: mul_action.of_quotient_stabilizer_mem_orbit 0.004226 s: mul_action.orbit_equiv_quotient_stabilizer._match_1 0.002364 s: mul_action.orbit_equiv_quotient_stabilizer._proof_1 0.000895 s: mul_action.orbit_equiv_quotient_stabilizer 0.000541 s: encodable.decode_sum_val 0.000079 s: nat.bit0_ne_bit1 0.011719 s: denumerable.sum._proof_1 0.003003 s: direct_sum.grade_zero.semimodule._proof_2 0.002422 s: parser.and_then_fail 0.003428 s: composition.eq_ones_iff_le_length 0.012514 s: affine_map.mk'._proof_1 0.003748 s: affine_map.mk' 0.004745 s: affine_equiv.mk'._proof_1 0.002847 s: affine_equiv.mk' 0.000798 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_1 0.000885 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_2 0.000931 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_3 0.173486 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_4 0.000371 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_5 0.338526 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_7 0.000241 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_9 0.031409 s: isometric.to_real_linear_isometry_equiv_of_map_zero._proof_10 0.354477 s: isometric.to_real_linear_isometry_equiv_of_map_zero 0.000255 s: isometric.add_right._proof_1 0.000096 s: isometric.add_right._proof_2 0.028600 s: isometric.add_right._proof_3 0.000367 s: isometric.add_right 0.012750 s: isometric.to_real_linear_isometry_equiv._proof_1 0.071112 s: isometric.to_real_linear_isometry_equiv 0.000249 s: isometric.to_affine_equiv._proof_1 0.000882 s: isometric.coe_to_equiv 0.011678 s: linear_isometry_equiv.coe_to_linear_equiv 0.077083 s: isometric.to_real_linear_equiv_apply 0.012325 s: isometric.coe_vadd_const 0.002791 s: isometric.coe_vadd_const_symm 0.075129 s: isometric.to_affine_equiv._proof_2 0.082722 s: isometric.to_affine_equiv 0.079894 s: isometric.coe_to_affine_equiv 0.013547 s: div_inv_monoid.sizeof 0.007480 s: div_inv_monoid.mk.sizeof_spec 0.003138 s: affine_map.sizeof 0.000527 s: affine_map.has_sizeof_inst 0.001836 s: pi.right_cancel_monoid._proof_4 0.000065 s: linarith.linexp.zfind._match_1 0.000579 s: linarith.linexp.get._main 0.000032 s: linarith.linexp.get 0.000031 s: linarith.linexp.zfind 0.000052 s: linarith.comp.coeffs 0.000017 s: linarith.comp.coeff_of 0.000039 s: linarith.comp.coeff_of.equations._eqn_1 0.068047 s: real.times_cont_diff_sinh 0.081378 s: times_cont_diff_on.sinh 0.000892 s: category_theory.under.forget.equations._eqn_1 0.020131 s: category_theory.over.iterated_slice_backward._proof_1 0.004447 s: category_theory.over.iterated_slice_backward._proof_2 0.004104 s: category_theory.over.iterated_slice_backward._proof_3 0.006189 s: category_theory.over.w_assoc 0.009372 s: category_theory.over.iterated_slice_backward._proof_4 0.027767 s: category_theory.over.iterated_slice_backward._proof_5 0.027337 s: category_theory.over.iterated_slice_backward._proof_6 0.036070 s: category_theory.over.iterated_slice_backward._proof_7 0.042728 s: category_theory.over.iterated_slice_backward 0.046785 s: category_theory.over.iterated_slice_equiv._proof_5 0.000046 s: snum.bit1 0.000039 s: snum.bit1.equations._eqn_1 0.006929 s: parser.step.bind 0.000700 s: parser.step.seq 0.000383 s: conj_classes.exists_rep 0.012695 s: ring_equiv_iso_CommRing_iso._proof_2 0.000362 s: function.injective2.eq_iff 0.002130 s: category_theory.limits.image_zero 0.001791 s: category_theory.limits.image_zero.equations._eqn_1 0.000436 s: add_monoid_algebra.single_zero_alg_hom._proof_3 0.000323 s: eq_rec_inj 0.007704 s: basic_smooth_bundle_core.to_charted_space.equations._eqn_1 0.011978 s: continuous_multilinear_map.curry_fin_finset._proof_2 0.001703 s: measurable_at_filter.equations._eqn_1 0.000883 s: matrix.row_add 0.000081 s: omega.nat.preterm.add_one.equations._eqn_1 0.000543 s: direct_sum.lie_ring._proof_1 0.000345 s: direct_sum.lie_ring._proof_2 0.000312 s: direct_sum.lie_ring._proof_3 0.000955 s: direct_sum.lie_ring._proof_4 0.000891 s: direct_sum.lie_ring._proof_5 0.001030 s: direct_sum.lie_ring._proof_6 0.000888 s: direct_sum.lie_ring._proof_7 0.000353 s: direct_sum.lie_ring._proof_8 0.000335 s: direct_sum.lie_ring._proof_9 0.260730 s: direct_sum.lie_ring._proof_11 0.250575 s: direct_sum.lie_ring._proof_12 0.293388 s: direct_sum.lie_ring._proof_13 0.023027 s: direct_sum.lie_ring 0.002829 s: direct_sum.component.equations._eqn_1 0.005231 s: dfinsupp.lapply_apply 0.030339 s: direct_sum.bracket_apply 0.013132 s: direct_sum.lie_algebra_component._proof_3 0.000988 s: list.lt._main.equations._eqn_4 0.000221 s: list.lt.equations._eqn_4 0.000228 s: free_comm_ring.is_supported.equations._eqn_1 0.004549 s: has_smooth_add.dcases_on 0.003726 s: pequiv.single._proof_1 0.000446 s: pequiv.single 0.000754 s: pequiv.single_apply 0.181088 s: affine.simplex.altitude 0.094913 s: affine.triangle.orthocenter_eq_monge_point 0.148417 s: affine.simplex.altitude_def 0.125591 s: finset.centroid_singleton 0.021568 s: vector_span_eq_span_vsub_set_left 0.007311 s: vector_span_image_eq_span_vsub_set_left_ne 0.322407 s: affine.triangle.altitude_eq_monge_plane 0.114803 s: affine.triangle.orthocenter_mem_altitude 0.174550 s: affine.simplex.mem_altitude 0.105118 s: affine.triangle.affine_span_orthocenter_point_le_altitude 0.044431 s: linear_equiv.coord 0.003780 s: semilattice_inf_top.sizeof 0.000061 s: semilattice_inf_top.has_sizeof_inst 0.011175 s: submodule.prod_mono 0.049053 s: submodule.prod_sup_prod 0.152661 s: pos_div_pow_pos 0.386818 s: div_pow_le 0.000367 s: dist_le_range_sum_dist 0.162900 s: sum_geometric_two_le 0.033530 s: geom_le 0.000421 s: not_tendsto_at_top_of_tendsto_nhds 1.138839 s: tendsto_at_top_of_geom_le 0.582261 s: hofer 0.294170 s: algebra.power_basis_is_basis 0.135706 s: algebra.adjoin.power_basis 0.000111 s: tactic.new_goals.cases_on 0.000042 s: tactic.new_goals.no_confusion_type 0.000215 s: tactic.new_goals.no_confusion 0.020583 s: category_theory.action_category.stabilizer_iso_End 0.000399 s: mul_equiv.subgroup_congr._proof_1 0.002570 s: mul_equiv.subgroup_congr._proof_3 0.006515 s: mul_equiv.subgroup_congr._proof_4 0.007143 s: mul_equiv.subgroup_congr 0.000906 s: mul_action.mem_stabilizer_iff 0.000897 s: mul_action.quotient.smul_coe 0.001605 s: mul_action.stabilizer_quotient 0.008464 s: category_theory.action_category.End_mul_equiv_subgroup 0.008342 s: category_theory.action_category.End_mul_equiv_subgroup.equations._eqn_1 0.012014 s: direct_sum.gmonoid.of_submodules 0.010917 s: direct_sum.gmonoid.of_submodules.equations._eqn_1 0.001632 s: rbnode.fold._main.equations._eqn_3 0.006337 s: frontier_lt_subset_eq 0.003283 s: metric.frontier_ball_subset_sphere 0.001459 s: nat.factors_zero 0.000327 s: nat.factors_one 0.001429 s: nat.factors_eq_nil 0.002422 s: category_theory.pi.comp_apply 0.001197 s: category_theory.pi.id_apply 0.003335 s: category_theory.pi.iso_app._proof_1 0.004459 s: category_theory.pi.iso_app._proof_2 0.000872 s: category_theory.pi.iso_app 0.001508 s: category_theory.pi.iso_app_refl 0.001398 s: set.Union_of_singleton 0.002488 s: finite_of_is_compact_of_discrete 0.000264 s: is_locally_constant.continuous 0.000253 s: is_locally_constant.iff_continuous 0.000489 s: is_locally_constant.range_finite 0.000529 s: locally_constant.range_finite 0.073687 s: affine.simplex.circumradius_nonneg 0.016573 s: order.pfilter.ext 0.000344 s: order.pfilter.partial_order 0.006790 s: order.ideal.mem_of_mem_of_le 0.002931 s: order.pfilter.mem_of_mem_of_le 0.000087 s: decidable_of_iff'.equations._eqn_1 0.000111 s: monad_fail.rec_on 0.000258 s: dlex_has_lt 0.000616 s: dlex_preorder._match_1 0.000148 s: dlex_preorder._proof_1 0.000961 s: psigma.lex.dcases_on 0.009913 s: dlex_preorder._proof_2 0.015715 s: dlex_preorder._proof_3 0.000567 s: dlex_preorder 0.000323 s: dlex_partial_order._proof_1 0.000293 s: dlex_partial_order._proof_2 0.002943 s: dlex_partial_order._proof_3 0.013767 s: dlex_partial_order._proof_4 0.001112 s: dlex_partial_order 0.000714 s: dlex_linear_order._proof_9 0.003077 s: multilinear_map.sizeof 0.000398 s: multilinear_map.has_sizeof_inst 0.000782 s: mvqpf.prj.repr._match_1 0.121069 s: continuous_linear_map.norm_id_field 0.087190 s: continuous_linear_map.norm_id_field' 0.488237 s: convex.norm_image_sub_le_of_norm_has_deriv_within_le 0.203447 s: convex.norm_image_sub_le_of_norm_deriv_le 0.033540 s: differentiable_at.sum 0.006557 s: differentiable_at.div_const 0.001677 s: has_deriv_at.pow 0.000833 s: differentiable_at.pow 0.247613 s: has_fderiv_at.log 0.276679 s: differentiable_at.log 0.028491 s: deriv_add 0.002474 s: has_deriv_at.sum 0.002201 s: deriv_sum 0.077845 s: deriv_div_const 0.008394 s: deriv_pow'' 0.077478 s: has_deriv_at.log 0.092307 s: deriv.log 0.013326 s: deriv_sub 1.563158 s: real.abs_log_sub_add_sum_range_le 0.000178 s: is_left_null.cases_on 0.003315 s: CommRing.colimits.desc_fun_lift._main.equations._eqn_3 0.009543 s: le_mul_iff_one_le_left 0.019637 s: mul_lt_iff_lt_one_left 0.000451 s: uniform_space.of_core_eq.equations._eqn_1 0.000194 s: slim_check.testable.rec_on 0.120011 s: differentiable_within_at.norm 0.105509 s: differentiable_within_at.dist 0.029223 s: complete_distrib_lattice.copy._proof_5 0.001749 s: algebraic_geometry.PresheafedSpace.forget_map 0.025561 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_9 0.000105 s: reducibility_hints.abbrev.inj 0.000067 s: reducibility_hints.abbrev.inj_arrow 0.002190 s: ring_hom.eq_slocus._proof_1 0.000911 s: filter.germ.const_min 0.079904 s: hyperreal.coe_min 0.007923 s: int.mul_le_mul_of_nonneg_left 0.000140 s: int.mul_nonpos_of_nonneg_of_nonpos 0.003860 s: differentiable_within_at.div 0.000262 s: primcodable.sum.equations._eqn_1 0.000265 s: reader_t.monad_writer._match_1 0.000603 s: reader_t.monad_writer._match_1.equations._eqn_1 0.000371 s: zero_eq_dist 0.001025 s: zero_eq_nndist 0.001807 s: category_theory.monad.monadic_of_has_preserves_G_split_coequalizers_of_reflects_isomorphisms 0.001631 s: category_theory.monad.monadic_of_has_preserves_G_split_coequalizers_of_reflects_isomorphisms.equations._eqn_1 0.000394 s: fintype.prod_apply 0.000813 s: order_iso.tendsto_at_top 0.000878 s: category_theory.is_split_coequalizer.as_cofork.equations._eqn_1 0.000301 s: onote.NF_below.cases_on 0.000172 s: monad_run.cases_on 0.000116 s: monad_run.no_confusion_type 0.013608 s: commute.geom_sum₂ 0.016769 s: geom₂_sum 0.002784 s: metric.mem_of_closed' 0.023717 s: bounded_continuous_function.arzela_ascoli 0.000200 s: setoid.ker_def 0.003474 s: setoid.lift_equiv._proof_2 0.007253 s: setoid.lift_equiv._match_1 0.001828 s: setoid.lift_equiv._proof_3 0.003086 s: setoid.lift_equiv._proof_4 0.001934 s: setoid.lift_equiv 0.001723 s: setoid.lift_equiv.equations._eqn_1 0.000073 s: num.min_fac._main 0.000013 s: num.min_fac 0.001816 s: num.min_fac_to_nat 0.000039 s: nat.partrec.code.id.equations._eqn_1 0.004764 s: parser.guard_eq_fail 0.000180 s: parser.err_static.guard 0.009503 s: subalgebra.topological_closure_topological_semiring.equations._eqn_1 0.002906 s: prod.omega_complete_partial_order_ωSup_snd 0.000195 s: pos_num.shiftr._main.equations._eqn_1 0.000172 s: seq.of_lazy_list._match_1.equations._eqn_1 0.001558 s: normed_group_hom.has_sub.equations._eqn_1 0.017033 s: multilinear_map.mk_continuous_linear._proof_3 0.079408 s: multilinear_map.mk_continuous_linear._proof_5 0.000498 s: option.sizeof._main.equations._eqn_2 0.000118 s: option.sizeof.equations._eqn_2 0.017481 s: turing.TM2to1.supports_run 0.000145 s: with_zero.ordered_comm_monoid._proof_1 0.000142 s: with_zero.ordered_comm_monoid._proof_2 0.000079 s: with_zero.ordered_comm_monoid._proof_3 0.002313 s: with_zero.ordered_comm_monoid._proof_4 0.000688 s: with_zero.ordered_comm_monoid._proof_5 0.000474 s: with_zero.ordered_comm_monoid._proof_6 0.000140 s: with_zero.ordered_comm_monoid._proof_7 0.000243 s: with_zero.ordered_comm_monoid._proof_8 0.001596 s: with_zero.ordered_comm_monoid._proof_9 0.000331 s: with_zero.ordered_comm_monoid._proof_10 0.002419 s: with_zero.zero_le 0.000553 s: with_zero.zero_lt_coe 0.000260 s: with_zero.some_eq_coe 0.000417 s: with_zero.coe_le_coe 0.004960 s: with_zero.mul_le_mul_left 0.000224 s: with_zero.coe_lt_coe 0.003458 s: with_zero.lt_of_mul_lt_mul_left 0.003638 s: with_zero.ordered_comm_monoid 0.002293 s: with_top.semilattice_inf.equations._eqn_1 0.000048 s: io.mode.read_write.sizeof_spec 0.002408 s: finsum_add_distrib 0.002827 s: finsum_mem_add_distrib' 0.000897 s: finsum_mem_add_distrib 0.055031 s: dual_pair.coeffs 0.000618 s: dual_pair.lc 0.069227 s: dual_pair.coeffs_apply 0.086351 s: dual_pair.dual_lc 0.066439 s: dual_pair.coeffs_lc 0.010532 s: Top.continuous_functions.pullback._proof_1 0.002501 s: Top.continuous_functions.pullback._proof_2 0.002136 s: Top.continuous_functions.pullback._proof_3 0.024873 s: Top.continuous_functions.pullback 0.027504 s: Top.continuous_functions.map._proof_1 0.019730 s: Top.continuous_functions.map._proof_2 0.018302 s: Top.continuous_functions.map._proof_3 0.020197 s: Top.continuous_functions.map._proof_4 0.005055 s: Top.continuous_functions.map 0.328820 s: Top.CommRing_yoneda._proof_9 0.005058 s: quot.lift₂.equations._eqn_1 0.000314 s: category_theory.limits.has_finite_colimits 0.000186 s: turing.to_partrec.cont.sizeof 0.000080 s: turing.to_partrec.cont.has_sizeof_inst 0.000248 s: turing.to_partrec.cont.cons₂.sizeof_spec 0.003283 s: lie_algebra.is_solvable.drec 0.006139 s: has_smooth_mul.compatible 0.001898 s: has_smooth_mul.to_smooth_manifold_with_corners 0.001336 s: times_cont_mdiff.smooth 0.002003 s: times_cont_mdiff_at_fst 0.001615 s: times_cont_mdiff_fst 0.001503 s: smooth_fst 0.000243 s: continuous_within_at_snd 0.000548 s: times_cont_diff_within_at_snd 0.042661 s: times_cont_mdiff_within_at_snd 0.008358 s: times_cont_mdiff_at_snd 0.001983 s: times_cont_mdiff_snd 0.001787 s: smooth_snd 0.012114 s: has_smooth_mul.prod 0.010326 s: prod.lie_group 0.000212 s: name.no_confusion_type 0.000476 s: name.no_confusion 0.000168 s: name.mk_string.inj 0.000114 s: name.mk_string.inj_arrow 0.000154 s: list.qsort._proof_1 0.000179 s: list.qsort 0.000051 s: string_imp.data 0.000060 s: string.has_lt 0.000634 s: list.has_decidable_lt._match_5 0.002019 s: list.has_decidable_lt._match_4 0.000184 s: list.has_decidable_lt._match_3 0.001091 s: list.has_decidable_lt._match_2 0.000747 s: list.has_decidable_lt._match_1 0.001340 s: list.has_decidable_lt._main 0.000067 s: list.has_decidable_lt 0.000399 s: string.has_decidable_lt 0.000446 s: slim_check.total_function.repr_aux 0.000260 s: slim_check.total_function.repr._main 0.000059 s: slim_check.total_function.repr 0.002044 s: slim_check.total_function.repr._main.equations._eqn_1 0.001027 s: slim_check.total_function.repr.equations._eqn_1 0.000115 s: category_theory.pairwise.rec_on 0.001028 s: monoid_algebra.equivariant_of_linear_of_comm._proof_1 0.003869 s: monoid_algebra.single_eq_algebra_map_mul_of 0.046888 s: monoid_algebra.equivariant_of_linear_of_comm._proof_2 0.012632 s: monoid_algebra.equivariant_of_linear_of_comm 0.050873 s: linear_map.sum_of_conjugates_equivariant 0.000167 s: onote.NF_mul_nat 0.000352 s: truncated_witt_vector.has_mul.equations._eqn_1 0.036486 s: module.flat.out 0.000715 s: unit_of_invertible.equations._eqn_1 0.000634 s: composition_as_set.no_confusion_type 0.000786 s: bool.bor_comm 0.003373 s: category_theory.elementwise_of 0.002195 s: omega.nat.preterm.repr._main 0.000015 s: omega.nat.preterm.repr 0.000041 s: expr.address.equations._eqn_1 0.276882 s: has_fderiv_within_at.cosh 0.031457 s: set.mul_indicator_mul 0.000082 s: ordered_comm_semiring.lt._default 0.000224 s: metric_space.rec_on 0.006367 s: rel_hom.map_inf 0.000031 s: bitvec.sborrow 0.001251 s: CommGroup.comm_group_obj 0.000937 s: matrix.special_linear_group.coe_fun.equations._eqn_1 0.010038 s: category_theory.equivalence.pow._main._pack.equations._eqn_3 0.000484 s: category_theory.equivalence.pow._main.equations._eqn_3 0.000089 s: slim_check.int.has_sizeof 0.007180 s: slim_check.int.sampleable._proof_1 0.004503 s: slim_check.int.sampleable._proof_2 0.001617 s: slim_check.int.sampleable._match_1 0.009771 s: slim_check.int.sampleable 0.000092 s: slim_check.pnat.sampleable 0.005206 s: int.abs_div_le_abs 0.020753 s: slim_check.rat.sampleable._proof_1 0.000526 s: slim_check.rat.sampleable 0.000374 s: slim_check.rat.sampleable.equations._eqn_1 0.004985 s: ulift.is_lawful_monad._match_4 0.000907 s: ulift.is_lawful_monad._match_4.equations._eqn_1 0.002671 s: add_subgroup.closure_mono 0.003325 s: filter.gi_generate.equations._eqn_1 0.005041 s: Compactum.hom_of_continuous._proof_1 0.001274 s: Compactum.hom_of_continuous 0.004168 s: Compactum_to_CompHaus.full._proof_1 0.005837 s: Compactum_to_CompHaus.full._proof_2 0.002156 s: Compactum_to_CompHaus.full 0.001520 s: Compactum_to_CompHaus.full.equations._eqn_1 0.000723 s: invertible_of_char_p_not_dvd 0.000107 s: has_add.cases_on 0.000074 s: has_add.no_confusion_type 0.000216 s: has_add.no_confusion 0.004059 s: quadratic_form.mk_left._proof_2 0.003208 s: quadratic_form.mk_left 0.036798 s: quadratic_form.lin_mul_lin._proof_1 0.047401 s: quadratic_form.lin_mul_lin._proof_2 0.051888 s: quadratic_form.lin_mul_lin._proof_3 0.020621 s: quadratic_form.lin_mul_lin 0.011525 s: quadratic_form.lin_mul_lin.equations._eqn_1 0.000215 s: filter.germ.comm_group._proof_1 0.000210 s: filter.germ.comm_group._proof_2 0.000143 s: filter.germ.comm_group._proof_3 0.001430 s: filter.germ.comm_group._proof_4 0.001045 s: filter.germ.comm_group._proof_5 0.000697 s: filter.germ.comm_group._proof_6 0.000862 s: filter.germ.comm_group._proof_7 0.000227 s: filter.germ.comm_group._proof_8 0.007365 s: filter.germ.comm_group 0.000226 s: filter.germ.ordered_comm_group._proof_1 0.000901 s: ring_hom.domain_nontrivial 0.001202 s: left_cancel_monoid.cases_on 0.000685 s: left_cancel_monoid.no_confusion_type 0.001018 s: left_cancel_monoid.no_confusion 0.002360 s: left_cancel_monoid.mk.inj 0.003824 s: left_cancel_monoid.mk.inj_arrow 0.000716 s: add_lt_of_add_lt_right 0.005987 s: is_linear_map.is_linear_map_add 0.004141 s: category_theory.subobject.pullback_map_self 0.001200 s: is_submonoid.Inter.equations._eqn_1 0.000101 s: list.reduce_option 0.000109 s: list.reduce_option.equations._eqn_1 0.000757 s: list.reduce_option_cons_of_none 0.000421 s: category_theory.limits.walking_parallel_pair.decidable_eq 0.001877 s: category_theory.limits.fintype_walking_parallel_pair._proof_1 0.000093 s: category_theory.limits.fintype_walking_parallel_pair 0.000108 s: category_theory.limits.walking_parallel_pair_hom.no_confusion_type 0.000540 s: category_theory.limits.walking_parallel_pair_hom.no_confusion 0.002145 s: category_theory.limits.walking_parallel_pair_hom.decidable_eq 0.000048 s: category_theory.limits.walking_parallel_pair.rec_on 0.012140 s: category_theory.limits.walking_parallel_pair_hom.fintype._proof_1 0.000576 s: category_theory.limits.walking_parallel_pair_hom.fintype 0.000516 s: category_theory.limits.walking_parallel_pair.category_theory.fin_category 0.000477 s: category_theory.limits.walking_parallel_pair.category_theory.fin_category.equations._eqn_1 0.000161 s: list.mmap_accumr._match_1 0.000147 s: list.mmap_accumr._match_2 0.001593 s: list.mmap_accumr._main 0.000967 s: list.mmap_accumr._main.equations._eqn_1 0.000047 s: quiver.has_sizeof_inst 0.000245 s: category_theory.category_struct.sizeof 0.000046 s: category_theory.category_struct.has_sizeof_inst 0.001414 s: category_theory.category.sizeof 0.000091 s: category_theory.category.has_sizeof_inst 0.001465 s: category_theory.groupoid.sizeof 0.002791 s: category_theory.groupoid.mk.sizeof_spec 0.076039 s: submonoid.closure_mul_le 0.012529 s: uniform_space.no_confusion_type 0.002447 s: uniform_space.no_confusion 0.002174 s: uniform_space.mk.inj 0.001350 s: uniform_space.mk.inj_arrow 0.000166 s: add_localization.away.neg_self._proof_1 0.005608 s: category_theory.triangulated.triangle_morphism.comm₃' 0.001039 s: comap_coe_Ioo_nhds_within_Iio 0.001276 s: tendsto_Ioo_at_top 0.001042 s: AddCommMon.add_comm_monoid_obj 0.001308 s: differentiable_on.comp 0.001133 s: differentiable.comp_differentiable_on 0.032549 s: has_fderiv_at_fst 0.033367 s: differentiable_at_fst 0.000490 s: differentiable_fst 0.004153 s: differentiable_on.fst 0.000091 s: nat.monoid.equations._eqn_1 0.007968 s: free_abelian_group.sub_bind 0.001210 s: continuous_linear_map.ker_coe 0.000031 s: vm_obj_kind.level.inj 0.000275 s: structure_groupoid.order_bot._proof_3 0.000099 s: pnat.linear_order.equations._eqn_1 0.072062 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj_2 0.018933 s: ring_hom.cod_restrict_field._proof_1 0.035662 s: matrix.to_lin_alg_equiv' 0.034577 s: linear_map.to_matrix_alg_equiv'_to_lin_alg_equiv' 0.037523 s: matrix.to_lin_alg_equiv'_apply 0.044859 s: matrix.to_lin_alg_equiv'_mul 0.144709 s: matrix.to_lin_alg_equiv'_to_matrix_alg_equiv' 0.054794 s: linear_map.to_matrix_alg_equiv'_comp 0.011607 s: monoid_hom.mul_comp 0.000303 s: ideal.quotient_inf_to_pi_quotient._proof_1 0.191409 s: ideal.quotient_inf_to_pi_quotient._proof_2 0.192017 s: ideal.quotient_inf_to_pi_quotient 0.110107 s: ideal.exists_sub_one_mem_and_mem 0.033192 s: ideal.exists_sub_mem 0.108287 s: ideal.quotient_inf_to_pi_quotient_bijective 0.025772 s: ideal.quotient_inf_ring_equiv_pi_quotient._proof_3 0.000458 s: sub_mul_action.rec_on 0.002461 s: uniform_space.complete_space_separation._match_1.equations._eqn_1 0.000295 s: finmap.erase 0.000303 s: finmap.erase.equations._eqn_1 0.000831 s: finmap.erase_to_finmap 0.003012 s: finmap.mem_to_finmap 0.000152 s: alist.keys.equations._eqn_1 0.001875 s: alist.keys_erase 0.000782 s: alist.mem_erase 0.001306 s: finmap.mem_erase 0.000531 s: finmap.not_mem_erase_self 0.186936 s: polynomial.is_splitting_field.dcases_on 0.027311 s: has_finite_inter.inhabited._proof_2 0.000569 s: has_finite_inter.inhabited 0.000474 s: has_finite_inter.inhabited.equations._eqn_1 0.010178 s: zsqrtd.conj_hom._proof_1 0.000171 s: zsqrtd.conj_hom._proof_2 0.000184 s: zsqrtd.conj_hom 0.002559 s: zsqrtd.conj_add 0.000561 s: stream.const_eq 0.000150 s: sym2.diag 0.000119 s: sym2.is_diag 0.000079 s: sym2.is_diag.decidable_pred._proof_1 0.005153 s: category_theory.nat_trans.unop_app 0.000478 s: Mon_.forget_preserves_limits._proof_2 0.007368 s: continuous_linear_equiv.prod._proof_2 0.002194 s: continuous_linear_equiv.prod._proof_3 0.008187 s: continuous_linear_equiv.prod 0.010444 s: continuous_linear_equiv.prod.equations._eqn_1 0.000524 s: category_theory.is_subterminal_of_terminal 0.000034 s: tactic.rewrite_search.using_conv.splice_result.obstructed.inj 0.001298 s: generate_pi_system 0.001486 s: generate_pi_system.drec 0.000492 s: generate_pi_system_measurable_set 0.000705 s: pgame.restricted.refl._main._pack 0.001004 s: cardinal.to_nat_cast 0.015116 s: cardinal.to_enat._proof_2 0.000871 s: AddCommGroup.has_forget_to_AddGroup.equations._eqn_1 0.011476 s: linear_recurrence.tuple_succ._proof_1 0.011623 s: linear_recurrence.tuple_succ._proof_2 0.002460 s: linear_recurrence.tuple_succ 0.001703 s: linear_recurrence.tuple_succ.equations._eqn_1 0.005333 s: measure_theory.L1.simple_func.eq' 0.007829 s: linear_equiv.to_Module_iso'_left._proof_2 0.000253 s: computation.orelse._match_2.equations._eqn_1 0.003154 s: computation.orelse_ret 0.000693 s: sym2.from_rel.decidable_pred 0.000264 s: simple_graph.edge_set_decidable_pred 0.000107 s: decidable_of_bool 0.000396 s: sym2.rel.decidable_rel._proof_1 0.000171 s: sym2.rel.decidable_rel 0.001231 s: simple_graph.edges_fintype 0.000182 s: simple_graph.edge_finset 0.000797 s: simple_graph.mem_edge_finset 0.001532 s: simple_graph.edge_set_univ_card 0.001929 s: category_theory.section_comp_left 0.000208 s: except.map_error._main 0.000055 s: except.map_error 0.000275 s: except_t.adapt 0.000242 s: except_t.monad_except_adapter 0.000198 s: invertible_one._proof_2 0.000296 s: opposite.left_cancel_semigroup._proof_1 0.001241 s: opposite.left_cancel_semigroup._proof_2 0.000365 s: opposite.left_cancel_semigroup 0.000389 s: opposite.left_cancel_semigroup.equations._eqn_1 0.000241 s: bin_tree.sizeof 0.000185 s: bin_tree.empty.sizeof_spec 0.001193 s: no_zero_smul_divisors.dcases_on 0.000302 s: turing.tape.mk₂.equations._eqn_1 0.004412 s: turing.tape.map_mk' 0.002005 s: turing.tape.map_mk₂ 0.001255 s: turing.tape.map_mk₁ 0.000383 s: associates.bcount 0.000355 s: associates.count 0.000260 s: turing.to_partrec.step._main.equations._eqn_2 0.000495 s: category_theory.limits.preserves_limits_of_shape.no_confusion_type 0.003073 s: list.perm.inter_left 0.001413 s: list.perm.inter_right 0.000328 s: list.perm.inter 0.000026 s: tactic.delta_config.max_steps._default 0.000024 s: tactic.delta_config.max_steps._default.equations._eqn_1 0.000090 s: is_add_subgroup.add_center 0.000555 s: Ico_mem_nhds 0.019595 s: dfinsupp.lsum_apply 0.011116 s: category_theory.coev_naturality 0.021099 s: asymptotics.is_O_with_iff_exists_eq_mul 0.002110 s: asymptotics.is_O_with.exists_eq_mul 0.001436 s: convex.convex_hull_eq 0.001574 s: convex_empty 0.000174 s: convex_hull_empty 0.000770 s: convex_hull_empty_iff 0.000210 s: computation.parallel.aux2._match_1 0.000077 s: computation.parallel.aux2 0.000212 s: computation.parallel.aux1._main 0.000060 s: computation.parallel.aux1 0.000707 s: computation.parallel.aux1._main.equations._eqn_1 0.000278 s: computation.parallel.aux1.equations._eqn_1 0.041226 s: one_div_lt_one_div_of_neg 0.000144 s: simplex_category.len.equations._eqn_1 0.011608 s: add_equiv.to_AddMagma_iso._proof_2 0.000873 s: add_equiv.to_AddMagma_iso 0.001002 s: add_equiv.to_Magma_iso_neg 0.000122 s: option.to_list._sunfold 0.000238 s: round 0.000243 s: gaussian_int.div 0.000022 s: gaussian_int.has_div 0.122183 s: gaussian_int.div_def 0.000432 s: round.equations._eqn_1 0.194931 s: rat.cast_floor 0.000418 s: rat.cast_bit0 0.253362 s: rat.cast_round 0.063017 s: gaussian_int.to_real_re 0.028303 s: gaussian_int.to_real_im 0.023644 s: gaussian_int.nat_cast_real_norm 1.494137 s: gaussian_int.to_complex_div_re 0.000827 s: state_t.mk_label._main.equations._eqn_1 0.000431 s: state_t.mk_label.equations._eqn_1 0.003844 s: add_localization.r'.equations._eqn_1 0.000344 s: list.eq_of_mem_map_const 0.010474 s: category_theory.comonad.coalgebra.counit_assoc 0.019504 s: category_theory.comonad.adj._proof_2 0.007492 s: pgame.of_aux_relabelling._main._proof_3 0.023258 s: pgame.of_aux_relabelling._main.equations._eqn_2 0.007326 s: category_theory.comonad.coalgebra.counit' 0.002398 s: turing.TM1to1.writes._main.equations._eqn_2 0.000565 s: turing.TM1to1.writes.equations._eqn_2 0.000924 s: category_theory.quotient.comp._proof_1 0.002560 s: category_theory.quotient.comp_right 0.001521 s: category_theory.quotient.comp._proof_2 0.001378 s: category_theory.quotient.comp 0.003530 s: category_theory.quotient.category._proof_1 0.003432 s: category_theory.quotient.category._proof_2 0.009116 s: category_theory.quotient.category._proof_3 0.001724 s: category_theory.quotient.category 0.031855 s: prime_spectrum.vanishing_ideal_union 0.025171 s: multilinear_map.coe_curr_sum_equiv_symm 0.020206 s: ordinal.ord_cof_eq 0.000101 s: pnat.xgcd_type.start 0.000020 s: pnat.xgcd 0.000035 s: pnat.gcd_y 0.000049 s: pnat.gcd_y.equations._eqn_1 0.010977 s: Sup_le_Sup_of_subset_instert_bot 0.020205 s: list.exists_lt_of_sum_lt 0.000278 s: slim_check.subtype_var_testable._match_1._proof_2 0.002252 s: monoid.cases_on 0.000732 s: monoid.no_confusion_type 0.000737 s: monoid.no_confusion 0.001750 s: monoid.mk.inj 0.002936 s: category_theory.differential_object.iso_app_trans 0.006770 s: pos_num.distrib._proof_1 0.007098 s: pos_num.distrib._proof_2 0.000087 s: pos_num.distrib 0.001099 s: sym.cons'._match_1 0.000362 s: sym.cons'._match_2 0.000648 s: sym.cons'._match_2.equations._eqn_1 0.007749 s: category_theory.ulift.equivalence._proof_1 0.006844 s: category_theory.ulift.equivalence._proof_2 0.008530 s: category_theory.ulift.equivalence._proof_4 0.025682 s: category_theory.ulift.equivalence._proof_5 0.052874 s: category_theory.ulift.equivalence._proof_7 0.021546 s: category_theory.ulift.equivalence 0.000438 s: ideal.is_maximal.dcases_on 0.009241 s: skew_adjoint_matrices_submodule 0.010422 s: skew_adjoint_matrices_lie_subalgebra._proof_1 0.010603 s: skew_adjoint_matrices_lie_subalgebra._proof_2 0.012998 s: skew_adjoint_matrices_lie_subalgebra._proof_3 0.000197 s: matrix.is_skew_adjoint 0.000406 s: matrix.is_adjoint_pair.equations._eqn_1 0.002523 s: matrix.neg_dot_product 0.003470 s: matrix.neg_mul 0.000365 s: matrix.is_skew_adjoint.equations._eqn_1 0.001674 s: matrix.dot_product_neg 0.002750 s: matrix.mul_neg 0.013134 s: mem_skew_adjoint_matrices_submodule 0.003792 s: matrix.transpose_sub 0.021821 s: matrix.lie_transpose 0.944593 s: matrix.is_skew_adjoint_bracket 0.012936 s: skew_adjoint_matrices_lie_subalgebra._proof_4 0.144394 s: skew_adjoint_matrices_lie_subalgebra 0.049494 s: lie_algebra.orthogonal.so 0.062858 s: lie_algebra.orthogonal.so_indefinite_equiv._proof_2 0.001906 s: filter.germ.div_inv_monoid.equations._eqn_1 0.000025 s: tactic.transparency.reducible.inj 0.000041 s: tactic.transparency.reducible.inj_arrow 0.013228 s: ultrafilter.frequently_iff_eventually 0.000259 s: filter.frequently.eventually 0.000244 s: pgame.short_0 0.008486 s: pgame.short_add._main._pack 0.000228 s: pgame.short_add._main 0.000056 s: pgame.short_add 0.000316 s: pgame.short_1 0.001968 s: pgame.short_nat._main 0.000072 s: pgame.short_nat 0.000425 s: pgame.short_nat._main.equations._eqn_1 0.000616 s: pgame.short_nat.equations._eqn_1 0.001119 s: subsemiring.mk'_to_submonoid 0.003369 s: ring_equiv.trans.equations._eqn_1 0.000308 s: category_theory.discrete_presieve.equations._eqn_1 0.000114 s: generalized_continued_fraction.pair.map 0.000127 s: generalized_continued_fraction.pair.map.equations._eqn_1 0.352217 s: generalized_continued_fraction.exists_gcf_pair_rat_eq_of_nth_conts_aux 0.031937 s: subtype_mk.is_add_monoid_hom 0.000181 s: with_bot.inhabited.equations._eqn_1 0.005875 s: continuous_linear_map.of_homothety.equations._eqn_1 0.000976 s: ring_hom.no_confusion_type 0.001134 s: ring_hom.no_confusion 0.003260 s: ring_hom.mk.inj 0.000179 s: inv_image.equations._eqn_1 0.000074 s: tactic.transparency.sizeof 0.000046 s: tactic.transparency.has_sizeof_inst 0.000313 s: simps_cfg.sizeof 0.000633 s: AddCommMon.forget_preserves_limits._proof_1 0.002949 s: category_theory.limits.prod.lift'._proof_1 0.000420 s: option_t.pass_aux._main.equations._eqn_1 0.000564 s: category_theory.projective_presentation.f 0.000279 s: category_theory.projective.π 0.000494 s: category_theory.projective_presentation.epi 0.000307 s: category_theory.projective.π.category_theory.epi 0.000375 s: category_theory.projective.π.category_theory.epi.equations._eqn_1 0.000025 s: tactic.decl_reducibility.semireducible.inj 0.004523 s: tactic.decl_reducibility.semireducible.inj_eq 0.001081 s: category_theory.grothendieck_topology.has_Inf.equations._eqn_1 0.001106 s: primrec.vector_nth' 0.000148 s: computable.vector_nth' 0.000207 s: add_equiv.to_multiplicative''._proof_6 0.002000 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring_sub 0.004169 s: multilinear_map.mk.sizeof_spec 0.003474 s: singleton_mem_nhds_within_of_mem_discrete 0.002866 s: filter.has_basis.exists_inter_eq_singleton_of_mem_discrete 0.021040 s: pilex.ordered_add_comm_group._match_1.equations._eqn_1 0.000122 s: sub_mul_action.has_bot._proof_1 0.000262 s: sub_mul_action.has_bot 0.000098 s: sub_mul_action.inhabited 0.007112 s: category_theory.limits.equalizer_comparison._proof_1 0.001721 s: category_theory.limits.equalizer_comparison 0.002551 s: category_theory.limits.equalizer_is_equalizer 0.000936 s: category_theory.limits.preserves_equalizer.of_iso_comparison._proof_1 0.003514 s: category_theory.limits.preserves_equalizer.of_iso_comparison 0.082421 s: real.times_cont_diff_exp 0.083361 s: times_cont_diff.exp 0.000717 s: category_theory.abelian.coimages.factor_thru_coimage._proof_1 0.000998 s: category_theory.abelian.coimages.factor_thru_coimage 0.000600 s: category_theory.abelian.coimages.coimage.π 0.013012 s: category_theory.abelian.coimages.coimage.fac 0.000486 s: category_theory.abelian.coimages.epi_factor_thru_coimage 0.003054 s: category_theory.abelian.coimages.epi_factor_thru_coimage.equations._eqn_1 0.000549 s: list.repr_aux._main.equations._eqn_1 0.007432 s: category_theory.limits.preserves_coequalizer.iso 0.004248 s: category_theory.limits.preserves_coequalizer.iso.equations._eqn_1 0.002183 s: Top.presheaf.pushforward_obj_obj 0.056067 s: algebra.tensor_product.comm._proof_2 0.028123 s: algebra.tensor_product.comm 0.002891 s: poly_equiv_tensor._proof_1 0.098913 s: poly_equiv_tensor._proof_3 0.135689 s: poly_equiv_tensor._proof_4 0.112689 s: poly_equiv_tensor._proof_5 0.114690 s: poly_equiv_tensor 0.118499 s: mat_poly_equiv 0.127134 s: mat_poly_equiv.equations._eqn_1 0.001105 s: category_theory.equivalence.induced_functor_of_equiv.equations._eqn_1 0.000116 s: string.iterator.to_end._main 0.000012 s: string.iterator.to_end 0.000027 s: string.back 0.000043 s: string.back.equations._eqn_1 0.002126 s: filter.germ.semilattice_sup.equations._eqn_1 0.011066 s: probability_theory.Indep_sets 0.007056 s: finset.infi_union 0.001398 s: finset.infi_singleton 0.003047 s: finset.infi_insert 0.003011 s: finset.set_bInter_insert 0.000356 s: finset.set_bInter_singleton 0.007523 s: probability_theory.Indep_sets.indep_sets 0.000681 s: ordnode.pmap._main.equations._eqn_1 0.000187 s: ordnode.pmap.equations._eqn_1 0.000041 s: turing.to_partrec.code.id 0.000011 s: turing.to_partrec.code.head 0.000137 s: free_add_magma.inhabited 0.000160 s: free_add_magma.inhabited.equations._eqn_1 0.017829 s: linear_nonneg_ring.rec_on 0.000070 s: option.get_or_else._sunfold 0.000188 s: DFA.cases_on 0.000140 s: DFA.no_confusion_type 0.024570 s: measure_theory.L1.simple_func.has_scalar.equations._eqn_1 0.010902 s: tensor_product.congr.equations._eqn_1 0.002214 s: tensor_product.add_zero_class.equations._eqn_1 0.005211 s: measure_theory.L1.simple_func.to_simple_func.equations._eqn_1 0.000882 s: num.gcd_aux._main.equations._eqn_3 0.006623 s: cardinal.ord_zero 0.000061 s: char.to_nat.equations._eqn_1 0.001555 s: monotone.reflect_lt 0.001896 s: monotone.ne_of_lt_of_lt_int 0.000261 s: list.le.equations._eqn_1 0.021999 s: ennreal.to_real_hom.equations._eqn_1 0.000438 s: homeomorph.coinduced_eq 0.003527 s: algebra.prod.algebra._proof_1 0.001089 s: ordnode.raised.add_left 0.000749 s: add_magma.free_add_semigroup.r 0.000030 s: add_magma.free_add_semigroup 0.000100 s: add_magma.free_add_semigroup.of 0.000576 s: add_magma.free_add_semigroup.r.dcases_on 0.000222 s: add_magma.free_add_semigroup.of_add_assoc_left 0.000125 s: add_magma.free_add_semigroup.of_add_assoc 0.001360 s: add_magma.free_add_semigroup.add_semigroup._proof_1 0.000649 s: add_magma.free_add_semigroup.of_add_assoc_right 0.009446 s: add_magma.free_add_semigroup.add_semigroup._proof_2 0.029264 s: add_magma.free_add_semigroup.add_semigroup._proof_3 0.016185 s: add_magma.free_add_semigroup.add_semigroup 0.000304 s: add_magma.free_add_semigroup.of_add 0.000097 s: option.rhoare._main 0.000286 s: option.rhoare._main.equations._eqn_2 0.004760 s: homological_complex.comm 0.000205 s: category_theory.is_kernel_pair.id_of_mono._proof_2 0.066803 s: is_noetherian_ring_range.equations._eqn_1 0.001371 s: ring_hom.coe_range 0.000880 s: subring.coe_top 0.006417 s: ring_hom.range_top_iff_surjective 0.000382 s: ring_hom.range_top_of_surjective 0.010972 s: zmod.ring_equiv.equations._eqn_1 0.000085 s: const.bitraverse 0.000094 s: bitraversable.const 0.000168 s: const.bitraverse.equations._eqn_1 0.001050 s: is_lawful_bitraversable.const._proof_1 0.002565 s: is_lawful_bitraversable.const._proof_2 0.001182 s: is_lawful_bitraversable.const._proof_3 0.002205 s: is_lawful_bitraversable.const._proof_4 0.000657 s: is_lawful_bitraversable.const 0.000294 s: filter.Coprod 0.000231 s: filter.Coprod.equations._eqn_1 0.002125 s: filter.mem_Coprod_iff 0.001907 s: set.finite.pi 0.011600 s: filter.Coprod_cofinite 0.002227 s: fin.nonempty_fin_lin_ord._proof_4 0.003402 s: finsupp.filter_sum 0.000269 s: ulift.semimodule_equiv._proof_3 0.000656 s: is_compact.is_least_Inf 0.032331 s: is_compact.is_greatest_Sup 0.000422 s: is_compact.exists_is_greatest 0.000651 s: omega.nat.nonneg_consts_core._main.equations._eqn_2 0.008574 s: function.surjective.comm_semiring._proof_5 0.000188 s: pi.has_one.equations._eqn_1 0.000088 s: Mon_.inhabited 0.001223 s: _private.384029685.nil_ne_append_singleton 0.003909 s: _private.3297899537.str_ne_str_left_aux 0.000414 s: string.str_ne_str_left 0.000116 s: nat.bit1_ne 0.001146 s: norm_cast.label.of_string._main.equations._eqn_2 0.000330 s: is_compact.compl_mem_cocompact 0.003305 s: algebraic_geometry.SheafedSpace.forget._proof_9 0.000038 s: function.comp_left 0.000231 s: function.comp_left.equations._eqn_1 0.000895 s: ordnode.take_while._main 0.000054 s: ordnode.take_while 0.000551 s: category_theory.non_preadditive_abelian.abelian._proof_1 0.000385 s: category_theory.non_preadditive_abelian.abelian._proof_2 0.001155 s: category_theory.non_preadditive_abelian.abelian._proof_3 0.001140 s: category_theory.non_preadditive_abelian.abelian._proof_5 0.000934 s: category_theory.non_preadditive_abelian.abelian._proof_6 0.001747 s: category_theory.non_preadditive_abelian.abelian 0.001170 s: category_theory.non_preadditive_abelian.abelian.equations._eqn_1 0.001100 s: pgame.relabelling.trans._main._proof_3 0.001275 s: homeomorph.smul_of_unit.equations._eqn_1 0.000451 s: strict_mono.mul_monotone' 0.000220 s: strict_mono.mul_const' 0.000605 s: filter.comap_eq_lift' 0.000067 s: topological_fiber_bundle_core.index 0.000126 s: topological_fiber_bundle_core.index.equations._eqn_1 0.000366 s: add_equiv.congr_fun 0.003278 s: dfinsupp.coe_neg 0.016294 s: dfinsupp.sub_apply 0.004520 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main._proof_11 0.002014 s: add_cancel_monoid.cases_on 0.000162 s: category_theory.mul_zero._proof_2 0.000109 s: category_theory.mul_zero._proof_3 0.000068 s: category_theory.mul_zero._proof_4 0.000121 s: category_theory.mul_zero._proof_5 0.000658 s: category_theory.mul_zero 0.066687 s: multilinear_map.mk_continuous_linear._proof_7 0.000073 s: num.test_bit._main 0.000017 s: num.test_bit 0.332493 s: irrational_nrt_of_notint_nrt 0.039613 s: multiplicity.finite_pow 0.000483 s: roption.get_eq_get_of_eq 0.018239 s: multiplicity.pow' 0.102742 s: irrational_nrt_of_n_not_dvd_multiplicity 0.030353 s: irrational_sqrt_of_multiplicity_odd 0.045226 s: nat.prime.irrational_sqrt 0.009279 s: irrational_sqrt_two 0.002451 s: zsqrtd.lift_apply_apply 0.003935 s: category_theory.coyoneda.iso_comp_punit._proof_2 0.000644 s: wseq.update_nth._match_1 0.000225 s: wseq.update_nth._match_2 0.000157 s: wseq.update_nth 0.000200 s: wseq.update_nth.equations._eqn_1 0.000297 s: bilin_form.add_comm_group._proof_1 0.000558 s: pos_num.cmp._main.equations._eqn_2 0.000109 s: polynomial.trailing_monic 0.000131 s: polynomial.trailing_monic.equations._eqn_1 0.000170 s: polynomial.trailing_monic.decidable._proof_1 0.000456 s: polynomial.is_separable_contraction 0.000051 s: polynomial.has_separable_contraction 0.000088 s: polynomial.has_separable_contraction.equations._eqn_1 0.003866 s: continuous_linear_map.has_deriv_at_filter 0.000049 s: list.decidable_perm._main._proof_1 0.000640 s: lazy_list.mem._main 0.000027 s: lazy_list.mem 0.000111 s: lazy_list.has_mem 0.000553 s: lazy_list.mem._main.equations._eqn_2 0.000102 s: lazy_list.mem.equations._eqn_2 0.001983 s: lazy_list.mem.decidable._main 0.000561 s: lazy_list.mem.decidable._main.equations._eqn_1 0.013467 s: dfinsupp.sum_add_hom_zero 0.004565 s: finset.sigma_preimage_mk_of_subset 0.002735 s: category_theory.comma.id_right 0.031544 s: quaternion_algebra.conj_add 0.000045 s: omega.nat.preterm.has_sizeof_inst 0.006816 s: dense.bUnion_uniformity_ball 0.000435 s: monoid.foldl.get 0.000210 s: monoid.foldl.get.equations._eqn_1 0.005002 s: alg_hom.coe_mk' 0.002917 s: conditionally_complete_linear_order.sizeof 0.009036 s: conditionally_complete_linear_order.mk.sizeof_spec 0.000558 s: list.drop_while._main 0.000406 s: list.drop_while._main.equations._eqn_1 0.002302 s: set.preimage_neg_Ioi 0.012037 s: approximates_linear_on.to_local_homeomorph.equations._eqn_1 0.000408 s: typevec.typevec_cases_cons₃._proof_1 0.001372 s: typevec.typevec_cases_cons₃._proof_2 0.000626 s: typevec.typevec_cases_cons₃._proof_3 0.004324 s: typevec.typevec_cases_cons₃ 0.000836 s: mvpfunctor.id_map 0.000238 s: mvpfunctor.obj.is_lawful_mvfunctor 0.000237 s: mvpfunctor.obj.is_lawful_mvfunctor.equations._eqn_1 0.051359 s: has_strict_deriv_at.clog 0.000055 s: tactic.itauto.and_kind.sides 0.000094 s: tactic.itauto.and_kind.sides.equations._eqn_2 0.000105 s: list.map_accumr 0.013679 s: list.length_map_accumr 0.001302 s: vector.map_accumr._sunfold 0.001861 s: category_theory.is_filtered_or_empty_of_semilattice_sup 0.002778 s: category_theory.is_filtered_of_semilattice_sup_top 0.004941 s: measure_theory.measure.tendsto_eval_ae_ae 0.004843 s: measure_theory.measure.ae_le_set_pi 0.008489 s: measure_theory.measure.ae_eq_set_pi 0.002107 s: measure_theory.Ico_ae_eq_Icc 0.001176 s: measure_theory.measure.pi_Ico_ae_eq_pi_Icc 0.001242 s: holor.cprank_max 0.000251 s: category_theory.enough_projectives.drec_on 0.001558 s: equiv_functor.map_equiv.injective 0.000953 s: equiv_functor.map_equiv_option_injective 0.005931 s: equiv.perm.decompose_option._match_1 0.000839 s: one_lt_inv' 0.000681 s: pgame.fintype_right_moves.equations._eqn_1 0.001241 s: con.ker_apply_eq_preimage 0.000150 s: fp.float.is_finite._main 0.000135 s: fp.float.is_finite._main.equations._eqn_2 0.001513 s: lazy_list.forall_mem_cons 0.001015 s: lazy_list.pmap._main 0.000300 s: nat.zero_eq_mul 0.004905 s: nat.lcm_ne_zero 0.012916 s: linear_ordered_semiring.cases_on 0.008511 s: linear_ordered_semiring.no_confusion_type 0.016501 s: category_theory.preserves_lift_map_cone 0.000045 s: tactic.itauto.and_kind.iff.inj 0.000071 s: tactic.itauto.and_kind.iff.inj_eq 0.003713 s: metric.Hausdorff_dist_triangle' 0.002694 s: parser.prog.many1.equations._eqn_1 0.003230 s: category_theory.monad_hom.sizeof 0.000496 s: filter.is_measurably_generated.drec_on 0.000375 s: irreducible.drec_on 0.000033 s: tactic.interactive.case_tag.match_result.combine 0.000084 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_5 0.000017 s: tactic.interactive.case_tag.match_result.combine.equations._eqn_5 0.005472 s: local_homeomorph.restr_symm_apply 0.001014 s: ordnode.sized._main.equations._eqn_2 0.022705 s: algebra.coe_algebra_map_of_subring 0.000245 s: is_equiv.drec 0.000156 s: pfun.core.equations._eqn_1 0.000949 s: lazy_list.to_list._main.equations._eqn_2 0.000107 s: lazy_list.to_list.equations._eqn_2 0.000038 s: quiver.labelling 0.000114 s: quiver.labelling.inhabited 0.017763 s: add_valuation.map_add 0.000372 s: affine_subspace.inhabited 0.000395 s: affine_subspace.inhabited.equations._eqn_1 0.001288 s: comm_group.to_cancel_comm_monoid.equations._eqn_1 0.000146 s: nonneg_ring.npow._default 0.000332 s: nonneg_ring.npow._default.equations._eqn_1 0.000238 s: filter.realizer.bot 0.000183 s: filter.realizer.bot.equations._eqn_1 0.002202 s: multiset.sum_le_sum_of_rel_le 0.000377 s: multiset.sum_map_le_sum 0.000163 s: fp.float.is_zero._sunfold 0.000148 s: list.mmap'._sunfold 0.039784 s: witt_vector.verschiebung_poly_zero 0.014396 s: pth_root_frobenius 0.000432 s: left_inverse_pth_root_frobenius 0.000830 s: injective_pow_p 0.002713 s: perfection_map.id 0.000115 s: preorder.lt._default.equations._eqn_1 0.000375 s: category_theory.mono_over.has_bot.equations._eqn_1 0.000175 s: linarith.comp_source.sizeof 0.000042 s: linarith.comp_source.has_sizeof_inst 0.000111 s: category_theory.pretopology.order_bot._proof_1 0.000591 s: is_closed_map.comp 0.000157 s: traversable.sizeof 0.000026 s: traversable.has_sizeof_inst 0.000063 s: io.process.stdio.sizeof 0.000061 s: io.process.stdio.has_sizeof_inst 0.000248 s: fin2.is_lt 0.000072 s: fin2.is_lt.cases_on 0.000555 s: fin2.of_nat'._main 0.000018 s: fin2.of_nat' 0.000029 s: fin2.is_lt.zero 0.000052 s: fin2.is_lt.h 0.000040 s: fin2.is_lt.succ._proof_1 0.000032 s: fin2.is_lt.succ 0.004574 s: pell.pell_eq 0.005256 s: pell.xy_modeq_of_modeq 0.000196 s: nat.modeq.chinese_remainder'._proof_1 0.000275 s: nat.modeq.chinese_remainder'._proof_2 0.000152 s: nat.modeq.chinese_remainder'._match_1 0.000185 s: nat.gcd_eq_zero_iff 0.051577 s: int.sub_div_of_dvd 0.108574 s: nat.modeq.chinese_remainder'._proof_3 0.000476 s: nat.modeq.chinese_remainder' 0.000136 s: nat.modeq.chinese_remainder 0.006362 s: nat.coprime_of_dvd' 0.000243 s: nat.dvd_sub 0.019221 s: pell.xy_coprime 0.029896 s: pell.yn_modeq_two 0.005761 s: pell.yn_add 0.001831 s: nat.modeq.modeq_mul_right' 0.032213 s: pell.xy_modeq_yn 0.015489 s: pell.ysq_dvd_yy 0.016931 s: pell.y_mul_dvd 0.010622 s: pell.y_dvd_iff 0.002313 s: pell.yn_ge_n 0.002118 s: pell.is_pell_nat 0.004928 s: pell.eq_pell 0.007863 s: pell.eq_of_xn_modeq_le 0.001129 s: pell.eq_of_xn_modeq 0.018415 s: pell.xn_modeq_x2n_add 0.009158 s: pell.xn_modeq_x2n_sub 0.004133 s: pell.xn_modeq_x4n_sub 0.008415 s: pell.eq_of_xn_modeq' 0.005118 s: pell.xn_modeq_x4n_add 0.015786 s: pell.modeq_of_xn_modeq 0.011796 s: pell.dvd_of_ysq_dvd 0.042264 s: pell.matiyasevic 0.013694 s: dioph.dioph_comp2 0.002671 s: dioph.vec_ex1_dioph 0.006823 s: dioph.eq_dioph 0.001386 s: dioph.dioph_fn_vec 0.000282 s: dioph.proj_dioph 0.000385 s: vector3.cons_fz 0.000286 s: vector3.cons_fs 0.002065 s: vector_allp_iff_forall 0.001885 s: dioph.dioph_fn_comp 0.003354 s: dioph.dioph_fn_comp2 0.001661 s: dioph.add_dioph 0.000091 s: dioph.proj_dioph_of_nat 0.002838 s: dioph.le_dioph 0.000407 s: dioph.const_dioph 0.000523 s: dioph.lt_dioph 0.002205 s: dioph.inject_dummies_lem 0.062456 s: dioph.or_dioph 0.000589 s: vector_all._main 0.000076 s: vector_all 0.011699 s: vector_all_iff_forall 0.005146 s: dioph.sub_dioph 0.000861 s: dioph.mul_dioph 0.007685 s: dioph.mod_dioph 0.000231 s: dioph.modeq_dioph 0.004405 s: dioph.dvd_dioph 0.026478 s: dioph.pell_dioph 0.000188 s: category_theory.is_subterminal.def 0.008974 s: category_theory.is_subterminal.is_iso_diag 0.000243 s: option.pbind._main 0.000609 s: option.pbind._main.equations._eqn_1 0.004564 s: equiv.set_congr_apply 0.003947 s: finset.filter_product 0.013261 s: finset.filter_product_card 0.084145 s: times_cont_diff_at.sinh 0.000659 s: relation.trans_gen.trans_gen_eq_self 0.000165 s: relation.trans_gen.transitive_trans_gen 0.000074 s: relation.trans_gen.trans_gen_idem 0.015871 s: measure_theory.zero_mem_ℒp 0.013747 s: measure_theory.Lp.edist_to_Lp_zero 0.001847 s: lie_algebra.of_associative_algebra_hom._proof_1 0.001274 s: lie_algebra.of_associative_algebra_hom._proof_2 0.004983 s: lie_algebra.of_associative_algebra_hom._proof_3 0.025074 s: lie_algebra.of_associative_algebra_hom 0.024369 s: universal_enveloping_algebra.ι._proof_1 0.020771 s: universal_enveloping_algebra.ι._proof_2 0.071852 s: universal_enveloping_algebra.ι._proof_3 0.058928 s: universal_enveloping_algebra.ι 0.063455 s: universal_enveloping_algebra.ι.equations._eqn_1 0.008898 s: lie_hom.coe_mk 0.004592 s: lie_algebra.of_associative_algebra_hom_apply 0.142525 s: universal_enveloping_algebra.lift._proof_3 0.000118 s: nontrivial.cases_on 0.000172 s: turing.TM2.cfg.var 0.000570 s: set.range_factorization_eq 0.029232 s: polynomial.eval₂_list_prod_noncomm 0.002119 s: category_theory.is_subterminal_of_is_iso_diag 0.000306 s: equiv.subtype_equiv_of_subtype._proof_1 0.000235 s: equiv.subtype_equiv_of_subtype 0.000224 s: equiv.subtype_equiv_of_subtype' 0.000306 s: small_subtype 0.000384 s: small_of_injective 0.000116 s: small_of_encodable 0.000247 s: ordnode.sized.node3_r 0.000309 s: ring_invo.id._proof_2 0.006489 s: category_theory.functor.map_cone_postcompose 0.005255 s: category_theory.functor.map_cone_postcompose_inv_hom 0.010116 s: add_submonoid.localization_map.is_unit_comp 0.001451 s: add_submonoid.localization_map.of_add_equiv_of_localizations._proof_1 0.003486 s: add_submonoid.localization_map.of_add_equiv_of_localizations._match_1 0.001991 s: add_submonoid.localization_map.of_add_equiv_of_localizations._match_2 0.001060 s: add_submonoid.localization_map.of_add_equiv_of_localizations._proof_2 0.001627 s: add_submonoid.localization_map.of_add_equiv_of_localizations._proof_3 0.002574 s: add_submonoid.localization_map.of_add_equiv_of_localizations 0.001888 s: add_submonoid.localization_map.cases_on 0.001299 s: add_submonoid.localization_map.no_confusion_type 0.001532 s: add_submonoid.localization_map.no_confusion 0.002526 s: add_submonoid.localization_map.mk.inj 0.006098 s: add_submonoid.localization_map.mk.inj_eq 0.003265 s: add_submonoid.localization_map.ext 0.000624 s: add_submonoid.localization_map.to_map_injective 0.002587 s: add_submonoid.localization_map.lift_eq 0.002300 s: add_submonoid.localization_map.lift_comp 0.004358 s: add_submonoid.localization_map.add_equiv_of_localizations_right_inv 0.001016 s: Top.sheaf.mk.sizeof_spec 0.000547 s: tactic.ring.pow_add_rev 0.001715 s: category_theory.nat_iso.of_components.app 0.000125 s: int.shiftl._main.equations._eqn_4 0.000081 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_16 0.001824 s: category_theory.limits.coequalizer.desc'.equations._eqn_1 0.002204 s: category_theory.limits.kernel_subobject_iso 0.000102 s: turing.to_partrec.cfg.then._main 0.000436 s: turing.to_partrec.cfg.then._main.equations._eqn_1 0.000164 s: tactic.tfae.arrow.cases_on 0.000040 s: tactic.tfae.arrow.no_confusion_type 0.001245 s: category_theory.limits.cofork.of_cocone._proof_1 0.001530 s: _private.2907559739.normal_add_aux._proof_1 0.001767 s: div_ne_zero 0.935521 s: real.log_div 0.000640 s: add_monoid_hom.is_add_monoid_hom 0.000548 s: add_monoid_hom.coe_of 0.005730 s: quotient_add_group.lift_quot_mk 0.012922 s: category_theory.limits.colimit.ι_desc_apply 0.083518 s: AddCommGroup.cokernel_iso_quotient._proof_12 0.012296 s: category_theory.shrink_homs.equivalence_functor_map 0.138845 s: slim_check.tree.shrink_with._match_2._proof_1 0.025374 s: filter.is_bounded_under_inf 0.002255 s: measure_theory.measure.map_add_left_eq_self 0.004017 s: measure_theory.integral_add_left_eq_self 0.161737 s: measure_theory.integral_zero_of_add_left_eq_neg 0.033731 s: tensor_product.map_comp 0.005257 s: measure_theory.measure.complete_semilattice_Inf.equations._eqn_1 0.002675 s: category_theory.cofinal.is_colimit_extend_cocone_equiv 0.000880 s: category_theory.cofinal.colimit_cocone_of_comp 0.000378 s: category_theory.cofinal.has_colimit_of_comp 0.005370 s: category_theory.limits.cocones.ext_inv_hom 0.035590 s: category_theory.cofinal.colimit_pre_is_iso_aux 0.009492 s: category_theory.cofinal.colimit_pre_is_iso 0.001028 s: category_theory.cofinal.colimit_iso'._proof_1 0.001869 s: category_theory.cofinal.colimit_iso' 0.015474 s: category_theory.functor.to_cocone._proof_1 0.004627 s: category_theory.functor.to_cocone 0.003007 s: localization_map.away_map.equations._eqn_1 0.002325 s: div_mul_comm' 0.000106 s: category_theory.bundled_hom.parent_projection.mk.inj 0.000183 s: category_theory.bundled_hom.parent_projection.mk.inj_arrow 0.000167 s: turing.TM0.stmt.map 0.000588 s: turing.TM0.machine.map._main 0.000202 s: turing.TM0.machine.map 0.000238 s: turing.TM0.cfg.q 0.000309 s: turing.TM0.cfg.map._main 0.000175 s: turing.TM0.cfg.map 0.000961 s: turing.TM0.cfg.map._main.equations._eqn_1 0.000335 s: turing.TM0.cfg.map.equations._eqn_1 0.001207 s: turing.TM0.machine.map._main.equations._eqn_1 0.000719 s: turing.TM0.machine.map.equations._eqn_1 0.000603 s: turing.tape.map_fst 0.000444 s: turing.TM0.step._match_2.equations._eqn_1 0.000268 s: turing.TM0.step._match_1.equations._eqn_1 0.000162 s: turing.TM0.step._match_1.equations._eqn_2 0.000832 s: turing.tape.map_write 0.010141 s: turing.TM0.machine.map_step 0.003047 s: turing.TM0.step_supports 0.005539 s: turing.TM0.machine.map_respects 0.002463 s: linear_map.ker_eq_bot_iff_range_eq_top_of_findim_eq_findim 0.000066 s: functor.map_const_rev 0.002797 s: parser.map_eq_fail 0.002196 s: parser.map_const_eq_fail 0.000426 s: parser.map_rev_const_eq_fail 0.003175 s: subgroup.normal_of_comm 0.000752 s: quotient_group.quotient.comm_group._proof_5 0.000163 s: list.foldr_with_index_aux._sunfold 0.002605 s: category_theory.limits.bicone.to_cone.equations._eqn_1 0.005566 s: to_separated.equations._eqn_1 0.000287 s: mvqpf.const.map.equations._eqn_1 0.000098 s: expr_lens.dir 0.000043 s: expr_lens.dir.cases_on 0.000090 s: tactic.rewrite_search.dir_pair.r 0.000050 s: tactic.rewrite_search.dir_pair.l 0.000106 s: tactic.rewrite_search.dir_pair.set._main 0.000132 s: tactic.rewrite_search.dir_pair.set._main.equations._eqn_2 0.000629 s: add_units.ordered_add_comm_group._proof_7 0.000150 s: flow.to_homeomorph._proof_2 0.000906 s: flow.to_homeomorph._proof_7 0.046621 s: real.cos_eq_zero_iff 0.007584 s: real.cos_ne_zero_iff 0.006756 s: ring_equiv.map_ne_zero_iff 0.006430 s: smooth_ring.dcases_on 0.096315 s: mv_polynomial.C_mul' 0.010158 s: mv_polynomial.smul_eq_C_mul 0.259165 s: mv_polynomial.evalₗ._proof_2 0.252750 s: mv_polynomial.evalₗ 0.000058 s: pnat.xgcd_type.is_reduced 0.000218 s: pnat.xgcd_type.flip_is_reduced 0.000397 s: expr.coord.repr._main.equations._eqn_7 0.000076 s: expr.coord.repr.equations._eqn_7 0.033517 s: category_theory.monoidal_of_has_finite_coproducts.equations._eqn_1 0.000182 s: times_cont_diff_bump_of_inner.cases_on 0.000583 s: slim_check.or_testable._match_1 0.000861 s: slim_check.or_testable._match_1.equations._eqn_2 0.005369 s: set.Ico_union_Ici' 0.000741 s: pnat.xgcd_type.mk.inj 0.000989 s: pnat.xgcd_type.mk.inj_eq 0.008456 s: add_comm_monoid.nat_semimodule.equations._eqn_1 0.000580 s: add_lt_of_lt_of_neg 0.000094 s: buffer.to_string 0.000180 s: parser.char_buf 0.000137 s: parser.mono.mmap' 0.000261 s: parser.mono.eps 0.000375 s: parser.mono.ch 0.000131 s: parser.mono.char_buf 0.002508 s: subfield.has_inf.equations._eqn_1 0.001147 s: function.semiconj₂.is_idempotent_left 0.000878 s: finset.decidable_dexists_finset.equations._eqn_1 0.005955 s: category_theory.limits.pushout_cocone.is_colimit_aux.equations._eqn_1 0.000413 s: probability_theory.indep 0.000360 s: probability_theory.indep_set 0.000589 s: probability_theory.indep.indep_sets 0.004896 s: measure_theory.ext_on_measurable_space_of_generate_finite 0.006201 s: _private.1458329647.indep_sets.indep_aux 0.007571 s: probability_theory.indep_sets.indep 0.000839 s: is_pi_system.singleton 0.001378 s: probability_theory.indep_set_iff_indep_sets_singleton 0.001556 s: locally_finite.realizer.rec_on 0.000953 s: enat.to_with_top_zero 0.001020 s: enat.to_with_top_zero' 0.000619 s: finset.prod_compl_mul_prod 0.000181 s: hahn_series.coeff.add_monoid_hom._proof_1 0.001060 s: hahn_series.coeff.add_monoid_hom 0.000320 s: hahn_series.coeff.linear_map._proof_1 0.002785 s: hahn_series.coeff.linear_map._proof_2 0.008906 s: hahn_series.coeff.linear_map 0.008525 s: hahn_series.coeff.linear_map.equations._eqn_1 0.000564 s: nat.partrec.code.encode_code._main.equations._eqn_4 0.011335 s: category_theory.bundled_hom.forget₂.equations._eqn_1 0.005342 s: subgroup.prod.equations._eqn_1 0.003006 s: has_deriv_at_filter_neg 0.000454 s: has_deriv_at_neg 0.001958 s: multiset.disjoint_add_left 0.000601 s: multiset.singleton_disjoint 0.003096 s: multiset.disjoint_cons_left 0.001354 s: multiset.disjoint_ndinsert_left 0.003087 s: measure_theory.outer_measure.map_comap_le 0.001790 s: measure_theory.outer_measure.restrict_le_self 0.000635 s: pi.ordered_add_comm_group._proof_11 0.002900 s: fin.le_insert_nth_iff 0.002410 s: fin.insert_nth_mem_Icc 0.000058 s: CommSemiRing.inhabited 0.056626 s: euclidean_domain.lcm_zero_right 0.000193 s: lint_verbosity 0.000071 s: lint_verbosity.cases_on 0.000039 s: lint_verbosity.no_confusion_type 0.064479 s: complex.cosh_square 0.238586 s: sum_eight_sq_mul_sum_eight_sq 0.016574 s: category_theory.pi.sum._proof_1 0.010987 s: category_theory.pi.sum._proof_2 0.007383 s: category_theory.pi.sum._proof_3 0.012256 s: category_theory.pi.sum._proof_4 0.010019 s: category_theory.pi.sum._proof_5 0.014081 s: category_theory.pi.sum._proof_6 0.063686 s: category_theory.pi.sum._proof_7 0.145214 s: category_theory.pi.sum._proof_8 0.253979 s: category_theory.pi.sum._proof_9 0.055392 s: category_theory.pi.sum 0.012546 s: category_theory.pi.sum_obj_obj 0.001339 s: structure_groupoid.symm' 0.000824 s: structure_groupoid.symm 0.001605 s: category_theory.limits.image.eq_to_hom._proof_1 0.001459 s: category_theory.limits.image.eq_to_hom 0.001255 s: category_theory.limits.image.eq_to_hom.equations._eqn_1 0.004359 s: category_theory.limits.image.eq_to_hom.category_theory.is_iso 0.000387 s: category_theory.limits.image.eq_to_iso 0.000745 s: category_theory.limits.image_zero' 0.000673 s: category_theory.limits.image_zero'.equations._eqn_1 0.000342 s: continuous_within_at.inv' 0.000449 s: continuous_on.inv' 0.000611 s: open_subgroup.has_coe_opens 0.001497 s: open_subgroup.mem_coe_opens 0.000283 s: reader_t.monad_writer._match_2 0.000344 s: reader_t.monad_writer 0.000192 s: finset.diag 0.000249 s: finset.diag.equations._eqn_1 0.002491 s: finset.mem_diag 0.004138 s: finset.diag_card 0.000068 s: char.le.equations._eqn_1 0.000465 s: ring_equiv.prod_comm._proof_1 0.000294 s: ring_equiv.prod_comm._proof_2 0.000125 s: mul_equiv.prod_comm._proof_1 0.000121 s: mul_equiv.prod_comm._proof_2 0.001856 s: mul_equiv.prod_comm._match_1 0.000605 s: mul_equiv.prod_comm._match_2 0.000259 s: mul_equiv.prod_comm._proof_3 0.000512 s: mul_equiv.prod_comm 0.000522 s: ring_equiv.prod_comm._proof_3 0.000677 s: ring_equiv.prod_comm._proof_4 0.006241 s: ring_equiv.prod_comm 0.028034 s: ring_equiv.snd_comp_coe_prod_comm 0.004461 s: integral_domain.sub._default 0.002630 s: integral_domain.sub._default.equations._eqn_1 0.084639 s: convex_singleton 0.000362 s: opposite.equiv_to_opposite_apply 0.020578 s: submonoid.localization_map.map_id 0.000207 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_2 0.000476 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_3 0.000304 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_4 0.000438 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_5 0.000169 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_6 0.000146 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_7 0.000227 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_8 0.000259 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_9 0.000439 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_10 0.000127 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_11 0.001151 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_12 0.000842 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_13 0.000351 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_14 0.000182 s: with_top.linear_ordered_add_comm_monoid_with_top._proof_15 0.011034 s: with_top.linear_ordered_add_comm_monoid_with_top 0.000739 s: set.union_nonempty 0.003122 s: set.is_wf.not_lt_min 0.005248 s: set.is_wf.min_le 0.000733 s: set.is_wf.le_min_iff 0.000649 s: set.is_wf.min_le_min_of_subset 0.004966 s: set.is_wf.min_union 0.074097 s: hahn_series.add_val._proof_5 0.000094 s: _nest_2_1.tactic.rewrite_search._nest_1_1.tactic.rewrite_search.using_conv.app_addr.dir_pair.sizeof 0.000044 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.sizeof 0.000075 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.has_sizeof_inst 0.000361 s: _nest_2_1.tactic.rewrite_search.dir_pair._nest_1_1.tactic.rewrite_search.using_conv.app_addr.mk.sizeof_spec 0.043958 s: times_cont_diff_at.ccosh 0.059979 s: mem_skew_adjoint_matrices_lie_subalgebra 0.007082 s: monoid.in_closure.cases_on 0.002540 s: unique_mdiff_on.unique_diff_on 0.000145 s: ordnode.copair 0.000245 s: ordnode.copair.equations._eqn_1 0.000273 s: list.map_accumr.equations._eqn_1 0.000061 s: category_theory.limits.walking_parallel_pair_hom.left.inj 0.000062 s: category_theory.limits.walking_parallel_pair_hom.left.inj_arrow 0.000260 s: is_pretransitive.cases_on 0.001181 s: partial_order_of_SO._match_2.equations._eqn_2 0.004189 s: measure_theory.conservative.exists_mem_image_mem 0.001839 s: measurable.iterate 0.000739 s: measure_theory.conservative.to_quasi_measure_preserving 0.000645 s: measure_theory.measure_diff_null' 0.000372 s: measure_theory.measure_diff_null 0.000531 s: measure_theory.measure_Union_null_iff 0.001715 s: measure_theory.measure_bUnion_null_iff 0.032957 s: measure_theory.conservative.frequently_measure_inter_ne_zero 0.009928 s: measure_theory.conservative.exists_gt_measure_inter_ne_zero 0.007416 s: measure_theory.conservative.measure_mem_forall_ge_image_not_mem_eq_zero 0.000852 s: pgame.inv'._main 0.000031 s: pgame.inv' 0.000121 s: pgame.inv 0.000076 s: pgame.has_inv 0.000886 s: tactic_doc._725700115 0.003080 s: preorder_hom.prod.map._match_1.equations._eqn_1 0.008298 s: linear_map.lsum._proof_1 0.015297 s: linear_map.lsum._proof_2 0.005643 s: linear_map.apply_single 0.001440 s: finset.sum_pi_single' 0.011894 s: linear_map.lsum._proof_3 0.014567 s: linear_map.lsum._proof_4 0.008808 s: linear_map.lsum 0.007354 s: linear_map.lsum_symm_apply 0.003060 s: category_theory.monoidal_category.tensor_right_map 0.008721 s: slim_check.int_ge.sampleable._proof_1 0.001201 s: pi.mul_action'.equations._eqn_1 0.003475 s: category_theory.adjunction.mk_of_unit_counit_hom_equiv_apply 0.073230 s: nnreal.linear_ordered_comm_group_with_zero.equations._eqn_1 0.020073 s: is_coatomic_dual_iff_is_atomic 0.000127 s: is_complemented.exists_is_compl 0.003234 s: eq_top_of_is_compl_bot 0.023937 s: is_modular_lattice.is_complemented_Ici._match_1 0.000400 s: is_modular_lattice.is_complemented_Ici 0.007581 s: is_simple_lattice_iff_is_simple_lattice_order_dual 0.003762 s: is_simple_lattice_iff_is_coatom_bot 0.015380 s: set.is_simple_lattice_Ici_iff_is_coatom 0.019958 s: is_compl.is_atom_iff_is_coatom 0.022527 s: is_modular_lattice.is_modular_lattice_Ici 0.005087 s: is_atom.Iic 0.051128 s: is_coatomic_of_is_atomic_of_is_complemented_of_is_modular 0.000353 s: is_complemented.order_dual.is_complemented 0.000147 s: is_coatomic.is_coatomic 0.015726 s: is_atomic_of_is_coatomic_of_is_complemented_of_is_modular 0.000074 s: classical.prop_complete 0.000082 s: classical.cases_true_false 0.000023 s: classical.cases_on 0.000025 s: classical.cases 0.001473 s: set.univ_eq_true_false 0.000239 s: ulift.has_scalar.equations._eqn_1 0.003392 s: fin.tail_init_eq_init_tail 0.528154 s: iterated_fderiv_within_succ_apply_right 0.483447 s: iterated_fderiv_within_succ_eq_comp_right 0.014304 s: finset.sdiff_sdiff_self_left 0.088325 s: collinear_empty 0.010179 s: times_cont_mdiff_map.no_confusion 0.000317 s: parser.one_of.equations._eqn_1 0.000328 s: multiset.choose 0.001676 s: multiset.choose_spec 0.000226 s: multiset.choose_property 0.000204 s: category_theory.Groupoid.inhabited 0.000802 s: equiv.vadd_const.equations._eqn_1 0.010203 s: subgroup.comap_subtype_inf_right 0.000137 s: inhabited.sizeof 0.000085 s: inhabited.has_sizeof_inst 0.000151 s: unique.sizeof 0.001366 s: unique.mk.sizeof_spec 0.001608 s: category_theory.adjunction.left_adjoint_of_comp.equations._eqn_1 0.000530 s: linear_map.quotient_inf_to_sup_quotient._proof_1 0.106506 s: linear_map.quotient_inf_equiv_sup_quotient._match_1 0.000206 s: has_edist.sizeof 0.000031 s: has_edist.has_sizeof_inst 0.008875 s: pseudo_emetric_space.sizeof 0.000040 s: pseudo_emetric_space.has_sizeof_inst 0.000359 s: emetric_space.sizeof 0.001520 s: add_neg_cancel_comm 0.000253 s: stream.interleave._match_2 0.000509 s: stream.interleave._match_2.equations._eqn_1 0.000327 s: hash_map.fold 0.000376 s: hash_map.fold.equations._eqn_1 0.005204 s: category_theory.limits.biprod.inr_map_assoc 0.005059 s: category_theory.limits.biprod.map_iso._proof_2 0.007320 s: submonoid.localization_map.of_mul_equiv_of_dom._match_5.equations._eqn_1 0.146333 s: interval_integral.integral_has_strict_deriv_at_of_tendsto_ae_right 0.000426 s: monoid_hom.no_confusion_type 0.016737 s: monoid_hom.no_confusion 0.002819 s: monoid_hom.mk.inj 0.002414 s: monoid_hom.mk.inj_arrow 0.001484 s: turing.TM1.stmt.branch.sizeof_spec 0.000442 s: equiv.distrib_mul_action._proof_1 0.000223 s: equiv.distrib_mul_action._proof_2 0.000808 s: equiv.zero_def 0.006540 s: equiv.distrib_mul_action._proof_4 0.001466 s: equiv.distrib_mul_action 0.005483 s: equiv.semimodule._proof_3 0.000064 s: string.length._sunfold 0.000712 s: nat.arithmetic_function.moebius.equations._eqn_1 0.000106 s: plift.unique.equations._eqn_1 0.001673 s: continuous_linear_map.nonlinear_right_inverse.has_coe_to_fun.equations._eqn_1 0.001336 s: set.interval_self 0.017733 s: lie_ideal.coe_map_of_surjective 0.011999 s: lie_ideal.mem_map_of_surjective 0.033677 s: lie_ideal.map_bracket_eq 0.010820 s: mv_polynomial.coe_mul 0.003615 s: mv_polynomial.coe_zero 0.004222 s: mv_polynomial.coe_add 0.023496 s: mv_polynomial.coe_to_mv_power_series.ring_hom 0.000110 s: category_theory.limits.wide_pullback_shape.hom.term.inj 0.000144 s: category_theory.limits.wide_pullback_shape.hom.term.inj_eq 0.000294 s: omega.nat.is_nnf._main.equations._eqn_5 0.000153 s: slim_check.small.functor 0.000201 s: slim_check.small.functor.equations._eqn_1 0.000138 s: left_coset.equations._eqn_1 0.004822 s: left_coset_assoc 0.001977 s: category_theory.limits.is_limit_of_has_binary_product_of_preserves_limit.equations._eqn_1 0.106416 s: perfect_closure.field._proof_8 0.000459 s: complex.le_def 0.062484 s: complex.real_le_real 0.000416 s: complex.zero_le_real 0.009702 s: Group.one_apply 0.000281 s: monad_io_file_system.rename 0.007403 s: mul_equiv.to_Mon_iso._proof_2 0.000990 s: mul_equiv.to_Mon_iso 0.000869 s: mul_equiv.to_Mon_iso.equations._eqn_1 0.005568 s: semiring.to_semimodule.equations._eqn_1 0.003766 s: ring.rec_on 0.005659 s: approximates_linear_on.to_local_homeomorph_target 0.000911 s: subgroup.to_add_subgroup._proof_1 0.007452 s: subgroup.to_add_subgroup._proof_3 0.009569 s: subgroup.to_add_subgroup._proof_4 0.000340 s: subgroup.to_add_subgroup._proof_5 0.024321 s: subgroup.to_add_subgroup._proof_6 0.026258 s: subgroup.to_add_subgroup._proof_7 0.023753 s: subgroup.to_add_subgroup 0.008537 s: subgroup.to_add_subgroup_symm_apply_coe 0.003624 s: category_theory.braided_functor.braided' 0.030478 s: category_theory.monad.algebra_functor_of_monad_hom.equations._eqn_1 0.005849 s: one_sub_div 0.009524 s: complex.cpow_sub 0.064360 s: has_strict_deriv_at.comp_has_strict_fderiv_at 0.097358 s: has_strict_fderiv_at.cexp 0.193248 s: has_strict_fderiv_at.mul 0.108464 s: has_strict_fderiv_at.clog 0.231400 s: complex.has_strict_fderiv_at_cpow 0.116239 s: complex.has_fderiv_at_cpow 0.000165 s: has_insert.cases_on 0.000100 s: tactic.rewrite_search.dir_pair.get._main 0.000018 s: tactic.rewrite_search.dir_pair.get 0.000102 s: tactic.rewrite_search.dir_pair.get._main.equations._eqn_1 0.000068 s: tactic.rewrite_search.dir_pair.get.equations._eqn_1 0.000066 s: linarith.comp.has_sizeof_inst 0.021229 s: category_theory.monad.algebra_equiv_of_iso_monads_comp_forget 0.000301 s: list.chain'_of_chain'_map 0.002784 s: nat.lt_iff_le_pred 0.000146 s: rack.pre_envel_group.sizeof 0.000176 s: rack.pre_envel_group.incl.sizeof_spec 0.003837 s: quotient_add_group.eq_class_eq_left_coset 0.002485 s: add_subgroup.add_group_equiv_quotient_times_add_subgroup._proof_1 0.000460 s: category_theory.creates_limits.cases_on 0.000265 s: category_theory.creates_limits.no_confusion_type 0.000615 s: category_theory.creates_limits.no_confusion 0.000431 s: category_theory.creates_limits.mk.inj 0.000405 s: category_theory.creates_limits.mk.inj_arrow 0.011323 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_2 0.000131 s: pgame.list_short.ibelow 0.000159 s: uniform_space.completion.equations._eqn_1 0.000126 s: uniform_space.completion.inhabited._proof_1 0.000105 s: Cauchy.inhabited 0.000107 s: uniform_space.completion.inhabited 0.000736 s: monoid.foldl.of_free_monoid.equations._eqn_1 0.006158 s: traversable.fold_foldl 0.002836 s: sub_mul_add_eq_of_mul_add_eq_mul_add 0.000071 s: filter.has_one 0.000567 s: set.one_subset 0.001443 s: filter.mem_one 0.002491 s: category_theory.sum.associativity._proof_1 0.002151 s: category_theory.sum.associativity._proof_3 0.034273 s: category_theory.sum.associativity._proof_4 0.011407 s: category_theory.sum.associativity 0.000942 s: category_theory.sum.inverse_associator_is_equivalence 0.000848 s: category_theory.sum.inverse_associator_is_equivalence.equations._eqn_1 0.000883 s: add_submonoid.inclusion._proof_1 0.001140 s: add_submonoid.inclusion 0.000226 s: pgame.domineering.left.equations._eqn_1 0.000570 s: mvpfunctor.const.mk 0.000397 s: list.map_with_index_core._main 0.000419 s: list.map_with_index_core._main.equations._eqn_1 0.002057 s: library_note._4033029989 0.000349 s: real.one_le_rpow_of_pos_of_le_one_of_nonpos 0.006491 s: nnreal.one_le_rpow_of_pos_of_le_one_of_nonpos 0.000362 s: is_incomp_trans.dcases_on 0.000430 s: equiv.has_neg 0.000228 s: equiv.has_sub 0.001184 s: function.injective.division_ring._proof_1 0.000912 s: function.injective.division_ring._proof_2 0.001158 s: function.injective.division_ring._proof_3 0.001423 s: function.injective.division_ring._proof_4 0.001453 s: function.injective.division_ring._proof_5 0.001392 s: function.injective.division_ring._proof_6 0.001356 s: function.injective.division_ring._proof_7 0.001005 s: function.injective.division_ring._proof_8 0.027903 s: function.injective.division_ring._proof_9 0.029488 s: function.injective.division_ring._proof_11 0.033669 s: function.injective.division_ring._proof_12 0.030025 s: function.injective.division_ring._proof_13 0.005747 s: function.injective.division_ring._proof_14 0.002920 s: function.injective.division_ring._proof_15 0.027119 s: function.injective.division_ring._proof_16 0.019141 s: function.injective.division_ring._proof_17 0.025237 s: function.injective.division_ring._proof_18 0.035109 s: function.injective.division_ring._proof_19 0.045198 s: function.injective.division_ring 0.000414 s: equiv.division_ring._proof_1 0.000479 s: equiv.division_ring._proof_2 0.000315 s: equiv.division_ring._proof_3 0.000279 s: equiv.division_ring._proof_4 0.000348 s: equiv.division_ring._proof_5 0.000230 s: equiv.division_ring._proof_6 0.000272 s: equiv.division_ring._proof_7 0.000243 s: equiv.division_ring._proof_8 0.012102 s: equiv.division_ring 0.001575 s: bex_eq_left 0.000303 s: turing.evals_to_in_time.refl._proof_1 0.000194 s: ordnode.erase._match_1 0.000614 s: tactic.itauto.proof.curry.inj 0.000292 s: tactic.itauto.proof.curry.inj_eq 0.000135 s: circle_deg1_lift.no_confusion_type 0.000473 s: circle_deg1_lift.no_confusion 0.002449 s: pi.monotone_uncurry_to_fun 0.000603 s: with_top.bounded_lattice._proof_7 0.000021 s: expr.coord.app_fn.inj 0.000021 s: expr.coord.app_fn.inj_arrow 0.003051 s: submodule.span_le_restrict_scalars 0.006873 s: submodule.span_eq_restrict_scalars 0.000847 s: mvqpf.fix.rec 0.000403 s: mvqpf.fix.dest 0.001209 s: locally_constant.ring._proof_6 0.000080 s: tactic_doc_entry.rec_on 0.000362 s: compact_exhaustion.sizeof 0.003738 s: coe_frobenius_equiv_symm 0.001987 s: filter.eventually_Sup 0.000900 s: fin.cases.equations._eqn_1 0.000388 s: lie_subalgebra.complete_lattice._proof_1 0.000346 s: lie_subalgebra.complete_lattice._proof_2 0.000845 s: lie_subalgebra.complete_lattice._proof_3 0.000605 s: lie_subalgebra.complete_lattice._proof_4 0.000643 s: lie_subalgebra.complete_lattice._proof_5 0.000644 s: lie_subalgebra.complete_lattice._proof_6 0.000651 s: lie_subalgebra.has_inf._proof_1 0.000812 s: lie_subalgebra.has_inf._proof_2 0.005378 s: lie_subalgebra.has_inf._proof_4 0.001952 s: lie_subalgebra.has_inf 0.000676 s: lie_subalgebra.complete_lattice._proof_8 0.000575 s: lie_subalgebra.complete_lattice._proof_9 0.004166 s: lie_subalgebra.complete_lattice._proof_10 0.000128 s: lie_subalgebra.complete_lattice._proof_11 0.000620 s: lie_subalgebra.has_zero._proof_1 0.000541 s: lie_subalgebra.has_zero._proof_2 0.001272 s: lie_subalgebra.has_zero._proof_3 0.007341 s: lie_subalgebra.has_zero._proof_4 0.001138 s: lie_subalgebra.has_zero 0.000111 s: lie_subalgebra.has_bot 0.003436 s: lie_subalgebra.mem_bot 0.003660 s: lie_subalgebra.complete_lattice._proof_12 0.001066 s: lie_subalgebra.complete_lattice._proof_14 0.000544 s: lie_subalgebra.complete_lattice._proof_15 0.000620 s: lie_subalgebra.complete_lattice._proof_16 0.012016 s: lie_subalgebra.complete_lattice 0.000315 s: lie_subalgebra.add_comm_monoid._proof_1 0.000247 s: lie_subalgebra.add_comm_monoid._proof_2 0.000175 s: lie_subalgebra.add_comm_monoid._proof_3 0.000268 s: lie_subalgebra.add_comm_monoid._proof_4 0.000307 s: lie_subalgebra.add_comm_monoid._proof_5 0.018678 s: lie_subalgebra.add_comm_monoid._proof_6 0.020396 s: lie_subalgebra.add_comm_monoid._proof_7 0.000256 s: lie_subalgebra.add_comm_monoid._proof_8 0.031822 s: lie_subalgebra.add_comm_monoid 0.011820 s: category_theory.functor.prod.equations._eqn_1 0.000971 s: partial_order.sizeof 0.000039 s: partial_order.has_sizeof_inst 0.000906 s: many_one_degree.partial_order.equations._eqn_1 0.000198 s: filter.countable_filter_basis.no_confusion_type 0.000231 s: filter.countable_filter_basis.no_confusion 0.000551 s: is_compl.rec_on 0.000226 s: set.Ioc.equations._eqn_1 0.000240 s: is_antisymm.drec_on 0.000115 s: AddMon.inhabited 0.000977 s: local_homeomorph.preimage_closure 0.027346 s: continuous_multilinear_map.curry_fin_finset._proof_5 0.000091 s: polynomial.equations._eqn_1 0.006364 s: topological_vector_bundle.locally_trivial 0.000891 s: topological_vector_bundle.trivialization_at._proof_1 0.000946 s: topological_vector_bundle.trivialization_at 0.001821 s: topological_vector_bundle.mem_base_set_trivialization_at 0.001245 s: topological_vector_bundle.is_topological_vector_bundle_is_topological_fiber_bundle 0.000684 s: is_min_filter.inf 0.001043 s: pequiv.mem_iff_mem 0.002824 s: pequiv.to_matrix_symm 0.143268 s: complex.cos_eq_cos_iff 0.037857 s: real.cos_eq_cos_iff 0.041223 s: measure_theory.snorm'_zero' 0.008225 s: infi_split 0.001990 s: divp_one 0.005713 s: category_theory.limits.cofork.ext.equations._eqn_1 0.030161 s: has_strict_deriv_at.const_cpow 0.015837 s: category_theory.limits.cocones.ext.equations._eqn_1 0.006667 s: multilinear_map.pi_ring_equiv._proof_1 0.005755 s: multilinear_map.pi_ring_equiv._proof_2 0.006284 s: multilinear_map.pi_ring_equiv._proof_3 0.016565 s: multilinear_map.pi_ring_equiv._proof_4 0.010744 s: multilinear_map.pi_ring_equiv._proof_5 0.001745 s: multilinear_map.pi_ring_equiv._proof_6 0.007035 s: multilinear_map.pi_ring_equiv 0.000673 s: tactic.interval_cases.set_elems.equations._eqn_1 0.000117 s: lucas_lehmer.X.comm_ring._proof_2 0.000664 s: category_theory.ulift.equivalence_functor 0.005037 s: continuous_linear_map.restrict_scalars_zero 0.002058 s: con.mk'.equations._eqn_1 0.000621 s: order.pfilter.is_prime 0.000447 s: order.pfilter.is_prime.drec 0.000346 s: order.pfilter.is_prime_iff 0.000028 s: pos_num.decidable_prime 0.001424 s: num.decidable_prime._main 0.000136 s: is_min_filter.equations._eqn_1 0.000971 s: subsemiring.multiset_sum_mem 0.000459 s: set.mul_indicator_eq_one_or_self 0.008331 s: ordinal.cof_sup_le_lift 0.006817 s: zsqrtd.to_real._proof_1 0.003492 s: zsqrtd.to_real 0.006884 s: zsqrtd.norm_zero 0.096652 s: zsqrtd.norm_eq_zero 0.020428 s: zsqrtd.lift_injective 0.043117 s: zsqrtd.to_real_injective 0.000599 s: category_theory.costructured_arrow.proj 0.000340 s: category_theory.Lan.diagram 0.031203 s: category_theory.limits.colimit.pre_pre 0.014337 s: category_theory.costructured_arrow.eq_mk 0.006090 s: category_theory.costructured_arrow.map_comp 0.114772 s: category_theory.Lan.loc._proof_2 0.230373 s: differentiable_within_at.cos 0.000367 s: irrational.decidable 0.000280 s: irrational.decidable.equations._eqn_1 0.022302 s: tactic_doc._3622493245 0.027290 s: cardinal.add_eq_self 0.012696 s: cardinal.add_lt_of_lt 0.005496 s: cardinal.eq_of_add_eq_of_omega_le 0.000604 s: cardinal.mk_compl_of_omega_le 0.066579 s: add_submonoid.map_sup 0.014466 s: add_submonoid.map_map 0.004027 s: add_monoid_hom.map_mrange 0.003672 s: add_monoid_hom.coprod_comp_inl 0.000685 s: add_monoid_hom.coe_mrange 0.002128 s: add_submonoid.range_subtype 0.002342 s: add_submonoid.sup_eq_range 0.000687 s: add_submonoid.coe_subtype 0.004490 s: add_submonoid.mem_sup 0.000143 s: monoid_algebra.inhabited 0.000257 s: measure_theory.ae_eq_fun.preorder 0.003110 s: measure_theory.ae_eq_fun.lift_rel_iff_coe_fn 0.001672 s: measure_theory.ae_eq_fun.coe_fn_le 0.003173 s: subgroup.map_le_iff_le_comap 0.001423 s: subgroup.closure_mono 0.003469 s: monoid_hom.gclosure_preimage_le 0.002513 s: monoid_hom.map_closure 0.002375 s: category_theory.limits.binary_bicone.inr_snd' 0.000217 s: nondiscrete_normed_field.cases_on 0.000136 s: nondiscrete_normed_field.no_confusion_type 0.000390 s: nondiscrete_normed_field.no_confusion 0.006327 s: category_theory.op_op_equivalence_unit_iso 0.000873 s: category_theory.subobject.of_mk_le_mk 0.001102 s: category_theory.subobject.of_mk_le_mk.equations._eqn_1 0.000423 s: quot.congr_right 0.000117 s: quotient.congr_right 0.000067 s: has_bot.no_confusion_type 0.000316 s: has_bot.no_confusion 0.000098 s: has_bot.mk.inj 0.000110 s: equiv.subtype_sigma_equiv._proof_1 0.000119 s: equiv.subtype_sigma_equiv._proof_2 0.001262 s: equiv.subtype_sigma_equiv._match_1 0.000523 s: equiv.subtype_sigma_equiv._proof_3 0.001519 s: equiv.subtype_sigma_equiv._match_2 0.000525 s: equiv.subtype_sigma_equiv._proof_4 0.001029 s: equiv.subtype_sigma_equiv 0.000233 s: prod.comm_monoid_with_zero._proof_2 0.000360 s: prod.comm_monoid_with_zero._proof_4 0.000335 s: prod.comm_monoid_with_zero._proof_5 0.000225 s: prod.comm_monoid_with_zero._proof_6 0.000173 s: prod.comm_monoid_with_zero._proof_7 0.000148 s: prod.comm_monoid_with_zero._proof_8 0.003214 s: prod.comm_monoid_with_zero 0.000036 s: bool.uniform_space 0.000028 s: bool.uniform_space.equations._eqn_1 0.114890 s: category_theory.uncurry.equations._eqn_1 0.017322 s: int.mul_div_mul_of_pos_left 0.000146 s: finset.colex.equations._eqn_1 0.000916 s: filter.prod_map_at_top_eq 0.005998 s: filter.prod_map_at_bot_eq 0.000295 s: continuous_map.has_one.equations._eqn_1 0.011284 s: add_neg_le_add_neg_iff 0.000454 s: closed_under_restriction.closed_under_restriction 0.000199 s: closed_under_restriction' 0.040398 s: local_homeomorph.trans_symm_eq_symm_trans_symm 0.038131 s: local_homeomorph.of_set_trans 0.005449 s: local_homeomorph.of_set_trans' 0.000159 s: local_homeomorph.eq_on_source_refl 0.005440 s: topological_space.opens.local_homeomorph_subtype_coe.equations._eqn_1 0.004190 s: topological_space.opens.local_homeomorph_subtype_coe_target 0.010652 s: local_homeomorph.subtype_restr_symm_trans_subtype_restr 0.009936 s: topological_space.opens.has_groupoid 0.012035 s: topological_space.opens.has_groupoid.equations._eqn_1 0.032440 s: AddCommGroup.factor_thru_image 0.006378 s: AddCommGroup.image.fac 0.001123 s: polynomial.eq_X_add_C_of_nat_degree_le_one 0.000637 s: polynomial.exists_eq_X_add_C_of_nat_degree_le_one 0.000641 s: zero_eq_neg 0.001945 s: alg_hom.map_int_cast 0.193931 s: one_lt_nat_degree_of_irrational_root 0.042125 s: is_basis.repr_eq_zero 0.003980 s: Mod.cases_on 0.001836 s: Mod.no_confusion_type 0.002136 s: Mod.no_confusion 0.004225 s: Mod.mk.inj 0.002866 s: Mod.mk.inj_arrow 0.003671 s: lie_group.drec_on 0.000462 s: pfunctor.W.mk._main 0.000049 s: pfunctor.W.mk 0.000214 s: qpf.Wrepr 0.003931 s: qpf.recF_eq_of_Wequiv 0.000308 s: qpf.fix_to_W._proof_1 0.000663 s: qpf.fix_to_W 4.774157 s: CommGroup.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 0.003438 s: pow_bit0' 0.003025 s: neg_pow_bit0 0.003972 s: neg_pow_bit1 0.119946 s: pow_bit1_nonpos_iff 0.025699 s: pow_bit1_pos_iff 0.126686 s: strict_mono_pow_bit1 0.027452 s: nat.cast_min 0.001411 s: filter.germ.const_div 0.018064 s: mv_polynomial.bind₁_comp_bind₁ 0.110789 s: mv_polynomial.is_lawful_monad 0.000325 s: turing.list_blank.tail.equations._eqn_1 0.000519 s: mul_action_hom.cases_on 0.020779 s: ctop.of_equiv._sunfold 0.006592 s: quotient_group.right_rel._proof_1 0.001860 s: category_theory.monoidal.to_transported._proof_2 0.002087 s: add_equiv.to_AddCommMon_iso.equations._eqn_1 0.000093 s: option.pbind 0.000255 s: option.pbind.equations._eqn_1 0.000056 s: option.pbind._main._proof_1 0.000368 s: option.pbind._main.equations._eqn_2 0.000154 s: option.pbind.equations._eqn_2 0.002854 s: option.pbind_eq_some 0.001788 s: Module.as_hom_right 0.004572 s: Module.mono_of_ker_eq_bot 0.033862 s: Module.mono_as_hom'_subtype 0.008216 s: smooth_finset_prod' 0.004684 s: smooth_finset_prod 0.004439 s: smooth_finprod 0.005252 s: smooth_finprod_cond 0.001392 s: category_theory.limits.pushout.condition_assoc 0.001891 s: category_theory.limits.pushout.inr_of_epi 0.001920 s: category_theory.limits.pushout.inr_of_epi.equations._eqn_1 0.000179 s: subsingleton_iff_forall_eq 0.000291 s: dim_zero_iff 0.000907 s: finite_dimensional.findim_zero_iff 0.001593 s: category_theory.preadditive.sizeof 0.002417 s: category_theory.preadditive.mk.sizeof_spec 0.001384 s: antilipschitz_with.cod_restrict 0.001856 s: measure_theory.mem_ℒp.norm 0.000083 s: num.to_znum_neg._main.equations._eqn_2 0.000028 s: num.to_znum_neg.equations._eqn_2 0.000519 s: equiv.of_injective.equations._eqn_1 0.001036 s: category_theory.limits.is_image.cases_on 0.001212 s: category_theory.limits.is_image.no_confusion_type 0.001236 s: category_theory.limits.is_image.no_confusion 0.001372 s: category_theory.limits.is_image.mk.inj 0.001191 s: category_theory.limits.is_image.mk.inj_arrow 0.000265 s: subfield.to_linear_ordered_field._proof_1 0.000657 s: category_theory.limits.cokernel.π_zero_is_iso 0.002223 s: local_homeomorph.restr_apply 0.005346 s: local_homeomorph.of_set_trans_of_set 0.001673 s: id_restr_groupoid._proof_1 0.001114 s: id_restr_groupoid._proof_2 0.000573 s: id_restr_groupoid._proof_3 0.000733 s: local_homeomorph.eq_on_source.eq_on 0.000468 s: local_homeomorph.restr_source 0.003997 s: id_restr_groupoid._proof_4 0.000824 s: id_restr_groupoid._proof_5 0.000951 s: id_restr_groupoid 0.002363 s: structure_groupoid.le_iff 0.000439 s: id_restr_groupoid_mem 0.007936 s: closed_under_restriction_iff_id_le 0.002702 s: local_homeomorph.singleton_has_groupoid 0.000760 s: times_cont_diff_on.congr_mono 0.000292 s: local_equiv.of_set_target 0.009682 s: of_set_mem_times_cont_diff_groupoid 0.002893 s: times_cont_diff_groupoid.closed_under_restriction 0.001623 s: local_homeomorph.singleton_smooth_manifold_with_corners 0.000316 s: mvpfunctor.const.equations._eqn_1 0.000299 s: ordnode.split_max'._match_1.equations._eqn_1 0.000363 s: infi_le_binfi 0.000013 s: tactic.simp_intros_config.use_hyps._default 0.000166 s: nonote.has_sub._proof_1 0.000082 s: nonote.has_sub 0.000356 s: nonote.repr_sub 0.000024 s: norm_cast.label.inhabited 0.000928 s: set.Iic.semilattice_inf_bot._proof_7 0.002572 s: _private.2781633143.newton_cau_seq.equations._eqn_1 0.010335 s: is_R_or_C.abs_sub_le 0.000474 s: triv_sq_zero_ext.fst_one 0.000249 s: triv_sq_zero_ext.fst_hom._proof_1 0.000242 s: triv_sq_zero_ext.fst_mul 0.001343 s: triv_sq_zero_ext.fst_hom._proof_2 0.000179 s: triv_sq_zero_ext.fst_zero 0.000130 s: triv_sq_zero_ext.fst_hom._proof_3 0.000093 s: triv_sq_zero_ext.fst_hom._proof_5 0.015668 s: triv_sq_zero_ext.fst_hom 0.006382 s: ideal.map_comap_map 0.000562 s: mul_action_hom.no_confusion_type 0.000809 s: mul_action_hom.no_confusion 0.000940 s: filter.germ.map'.equations._eqn_1 0.001693 s: is_projective 0.032037 s: is_projective.of_free 0.000225 s: list.sublists'_aux._sunfold 0.008741 s: topological_space.opens.map_comp_inv_app 0.000358 s: is_right_regular.subsingleton 0.000231 s: is_right_regular_zero_iff_subsingleton 0.000133 s: option.rhoare._main.equations._eqn_1 0.000606 s: inv_lt_one' 0.000346 s: inv_lt_self 0.000235 s: filter.germ.right_cancel_semigroup._proof_1 0.002532 s: filter.germ.right_cancel_semigroup._proof_2 0.000629 s: filter.germ.right_cancel_semigroup 0.000774 s: category_theory.faithful.map_injective' 0.003715 s: list.map_take 0.255316 s: has_fderiv_within_at.sin 0.248257 s: differentiable_within_at.sin 0.027869 s: direct_sum.comm_ring._proof_1 0.005227 s: direct_sum.comm_ring._proof_2 0.004325 s: direct_sum.comm_ring._proof_3 0.001783 s: direct_sum.comm_ring._proof_4 0.001279 s: direct_sum.comm_ring._proof_5 0.001967 s: direct_sum.comm_ring._proof_6 0.001299 s: direct_sum.comm_ring._proof_7 0.000646 s: direct_sum.comm_ring._proof_8 0.000635 s: direct_sum.comm_ring._proof_9 0.000555 s: direct_sum.comm_ring._proof_10 0.000584 s: direct_sum.comm_ring._proof_11 0.000781 s: direct_sum.comm_ring._proof_12 0.000843 s: direct_sum.comm_ring._proof_13 0.000612 s: direct_sum.comm_ring._proof_14 0.000596 s: direct_sum.comm_ring._proof_15 0.000690 s: direct_sum.comm_semiring._proof_1 0.000565 s: direct_sum.comm_semiring._proof_2 0.000394 s: direct_sum.comm_semiring._proof_3 0.000995 s: direct_sum.comm_semiring._proof_4 0.001013 s: direct_sum.comm_semiring._proof_5 0.000686 s: direct_sum.comm_semiring._proof_6 0.000483 s: direct_sum.comm_semiring._proof_7 0.000441 s: direct_sum.comm_semiring._proof_8 0.000670 s: direct_sum.comm_semiring._proof_9 0.000730 s: direct_sum.comm_semiring._proof_10 0.000741 s: direct_sum.comm_semiring._proof_11 0.000439 s: direct_sum.comm_semiring._proof_12 0.000400 s: direct_sum.comm_semiring._proof_13 0.000457 s: direct_sum.comm_semiring._proof_14 0.000703 s: direct_sum.comm_semiring._proof_15 0.004915 s: direct_sum.comm_semiring 0.000535 s: direct_sum.comm_ring._proof_16 0.007586 s: direct_sum.comm_ring 0.007748 s: direct_sum.comm_ring.equations._eqn_1 0.003252 s: function.injective.distrib_mul_action.equations._eqn_1 0.004716 s: category_theory.pi.cocone_of_cocone_comp_eval 0.002553 s: category_theory.pi.cocone_comp_eval._proof_1 0.007191 s: category_theory.pi.cocone_comp_eval 0.013398 s: category_theory.pi.cocone_of_cocone_eval_is_colimit._proof_1 0.015449 s: category_theory.pi.cocone_of_cocone_eval_is_colimit._proof_2 0.006076 s: category_theory.pi.cocone_of_cocone_eval_is_colimit 0.004584 s: category_theory.pi.cocone_of_cocone_eval_is_colimit.equations._eqn_1 0.000721 s: set.Ico.semilattice_inf_bot._proof_3 0.001046 s: ulift.add_monoid._proof_1 0.000674 s: ulift.add_monoid._proof_2 0.000749 s: ulift.add_monoid._proof_3 0.002647 s: ulift.add_monoid._proof_4 0.002787 s: ulift.add_monoid._proof_5 0.000842 s: ulift.add_monoid 0.000317 s: ulift.distrib_mul_action'._proof_1 0.000303 s: ulift.distrib_mul_action'._proof_2 0.002533 s: ulift.distrib_mul_action'._proof_3 0.000128 s: ulift.zero_down 0.002423 s: ulift.distrib_mul_action'._proof_4 0.001000 s: ulift.distrib_mul_action' 0.000809 s: ulift.distrib_mul_action'.equations._eqn_1 0.001786 s: complex.conj_conj 0.000101 s: complex.conj_involutive 0.002386 s: has_smooth_add.rec_on 0.003628 s: stream.append_append_stream 0.002846 s: matrix.det_reindex_linear_equiv_self 0.000440 s: list.modify_last._main 0.000148 s: pgame.list_short.no_confusion_type 0.000623 s: pgame.list_short.no_confusion 0.000309 s: pgame.list_short.cons.inj 0.000186 s: pgame.list_short.cons.inj_arrow 0.001438 s: submonoid.coe_supr_of_directed 0.000185 s: add_submonoid.gi._proof_1 0.000319 s: add_submonoid.gi._proof_2 0.000190 s: add_submonoid.gi._proof_3 0.004930 s: add_submonoid.gi 0.038861 s: add_submonoid.closure_Union 0.000338 s: add_submonoid.closure_eq 0.045455 s: add_submonoid.mem_supr_of_directed 0.012550 s: add_submonoid.coe_supr_of_directed 0.002879 s: subsemiring.mem_mk' 0.018798 s: subsemiring.mem_supr_of_directed 0.004245 s: subsemiring.mem_Sup_of_directed_on 0.002136 s: subsemiring.coe_Sup_of_directed_on 0.001144 s: monoid_hom.snd.equations._eqn_1 0.002161 s: has_smooth_add.compatible 0.001051 s: has_smooth_add.to_smooth_manifold_with_corners 0.012153 s: has_smooth_add.sum 0.011868 s: prod.lie_add_group 0.009362 s: prod.lie_add_group.equations._eqn_1 0.000331 s: is_right_null 0.000134 s: is_right_null.rec_on 0.000134 s: has_lt.cases_on 0.002424 s: setoid.lift_unique 0.001567 s: linear_isometry.nnnorm_map 0.002159 s: linear_isometry_equiv.nnnorm_map 0.001841 s: set.pi_set_coe.can_lift.equations._eqn_1 0.000860 s: psigma.decidable_eq._match_2 0.000700 s: psigma.decidable_eq._match_1 0.000307 s: psigma.decidable_eq._main 0.000481 s: psigma.decidable_eq._main.equations._eqn_1 0.000255 s: category_theory.limits.has_biproducts_of_shape.cases_on 0.000197 s: sigma.measurable_space 0.000235 s: sigma.measurable_space.equations._eqn_1 0.092128 s: fraction_ring.algebra.equations._eqn_1 0.000198 s: category_theory.with_terminal.no_confusion_type 0.000528 s: category_theory.with_terminal.no_confusion 0.013210 s: multiset.prod_eq_zero 0.015852 s: prod_zero_iff_exists_zero 0.001057 s: is_min_filter.add 0.000781 s: category_theory.is_iso.of_iso_inv.equations._eqn_1 0.000195 s: fintype.univ_unit 0.042990 s: measure_theory.measure.is_add_left_invariant.null_iff_empty 0.019254 s: order.partial_iso.fun_of_ideal._match_1 0.007987 s: order.partial_iso.fun_of_ideal._proof_1 0.011489 s: order.partial_iso.fun_of_ideal 0.018008 s: order.partial_iso.fun_of_ideal.equations._eqn_1 0.000775 s: zsqrtd.preorder.equations._eqn_1 0.000258 s: rbnode.ins._match_1.equations._eqn_2 0.003254 s: _private.651630769.wf_lbp._match_3.equations._eqn_1 0.005320 s: category_theory.limits.cone.extensions.equations._eqn_1 0.000098 s: Magma.inhabited 0.000113 s: Magma.inhabited.equations._eqn_1 0.001876 s: category_theory.limits.is_limit.equiv_iso_limit_symm_apply 0.027499 s: image.is_subfield._match_1 0.004924 s: image.is_subfield 0.002212 s: range.is_subfield 0.002421 s: range.is_subfield.equations._eqn_1 0.000663 s: cardinal.mk_set_le 0.001751 s: set.Iio_union_right 0.004201 s: set.Iic_union_Ioi 0.000401 s: equiv.set.union_sum_inter._proof_1 0.000174 s: equiv.set.union_sum_inter._proof_2 0.000485 s: equiv.set.union_sum_inter._proof_3 0.000247 s: equiv.set.union_sum_inter._proof_4 0.001686 s: equiv.set.union_sum_inter._proof_5 0.001461 s: equiv.set.union_sum_inter 0.001036 s: cardinal.mk_union_add_mk_inter 0.003564 s: cardinal.mk_union_le 0.002901 s: set.image_const_add_Iio 0.003532 s: set.image_const_sub_Ioi 0.002257 s: set.surjective_onto_image 0.000385 s: cardinal.mk_image_le 0.053726 s: cardinal.mk_Ioi_real 0.001942 s: set.preimage_neg_Iio 0.015318 s: set.image_const_add_Ioi 0.004631 s: set.image_const_sub_Iio 0.044363 s: cardinal.mk_Iio_real 0.038925 s: linear_equiv.of_is_unit_det._proof_4 0.000060 s: ordinal.nfp 0.000225 s: ordinal.iterate_le_nfp 0.005552 s: traversable.map_fold._proof_1 0.003472 s: cardinal.prod_le_prod 0.109427 s: polynomial.int_cyclotomic_spec 0.070408 s: polynomial.cyclotomic.monic 0.000286 s: polynomial.cyclotomic_ne_zero 0.001838 s: nat.totient_zero 0.000238 s: polynomial.cyclotomic'_ne_zero 0.071643 s: polynomial.nat_degree_cyclotomic' 0.007978 s: polynomial.degree_cyclotomic' 0.112614 s: polynomial.degree_cyclotomic 0.013283 s: polynomial.nat_degree_cyclotomic 0.000324 s: category_theory.pairwise.hom.left.sizeof_spec 0.001145 s: set.surj_on_sUnion 0.001450 s: set.surj_on_Union 0.000481 s: set.surj_on_Union_Union 0.000123 s: category_theory.graded_object.category_theory.has_forget₂._proof_2 0.004267 s: add_semiconj_by.units_neg_right 0.001797 s: add_semiconj_by.units_neg_right_iff 0.001592 s: add_semiconj_by.neg_right_iff 0.000217 s: add_semiconj_by.neg_neg_symm_iff 0.002895 s: function.mul_support_comp_subset 0.006154 s: monoid_hom.map_finprod_plift 0.001014 s: monoid_hom.map_finprod_Prop 0.000141 s: has_well_founded.rec_on 0.002654 s: category_theory.monoidal_nat_trans.tensor' 0.009208 s: inv_lt_inv' 0.000308 s: lt_of_inv_lt_inv 0.001954 s: inv_of_one_lt_inv 0.004293 s: typevec.drop_repeat._main.equations._eqn_2 0.000978 s: add_con.add_group._proof_5 0.003265 s: localization.mk_one_eq_monoid_of_mk 0.011042 s: localization.mk_eq_monoid_of_mk'_apply 0.002563 s: localization.mul_equiv_of_quotient_mk 0.000318 s: add_con.sizeof 0.000078 s: add_con.has_sizeof_inst 0.002748 s: bilin_form.flip_hom.equations._eqn_1 0.004297 s: category_theory.cofinal.extend_cone_cocone_to_cone.equations._eqn_1 0.000331 s: inv_lt' 0.000070 s: nat.perfect 0.000053 s: nat.perfect.equations._eqn_1 0.000768 s: function.injective.mul_zero_one_class._proof_1 0.000161 s: dlist.of_list.equations._eqn_1 0.000980 s: dlist.to_list_of_list 0.000468 s: dlist.list_equiv_dlist._proof_1 0.000152 s: dlist.no_confusion_type 0.000238 s: dlist.no_confusion 0.000268 s: dlist.mk.inj 0.000827 s: dlist.mk.inj_eq 0.000905 s: dlist.of_list_to_list 0.000555 s: dlist.list_equiv_dlist._proof_2 0.000198 s: dlist.list_equiv_dlist 0.000159 s: dlist.traversable 0.000485 s: pSet.of_nat._main 0.000024 s: pSet.of_nat 0.000071 s: pSet.of_nat._sunfold 0.044282 s: ring_equiv.restrict_roots_of_unity._proof_2 0.000099 s: fp.float_cfg.no_confusion_type 0.000213 s: fp.float_cfg.no_confusion 0.023537 s: linear_map.trace_aux_def 0.035076 s: linear_map.to_matrix_range 0.037485 s: linear_map.trace_aux_range 0.007566 s: matrix.trace_transpose 0.005603 s: matrix.trace_transpose_mul 0.032677 s: matrix.trace_mul_comm 0.039803 s: linear_map.trace_aux_eq' 0.020851 s: linear_map.trace_aux_eq 0.025629 s: linear_map.trace_eq_matrix_trace 0.067039 s: algebra.to_matrix_lmul_eq 0.070778 s: algebra.trace_eq_matrix_trace 0.009545 s: galois_coinsertion.sizeof 0.002901 s: galois_coinsertion.mk.sizeof_spec 0.000180 s: gaussian_int.mod 0.000076 s: gaussian_int.has_mod 0.150311 s: gaussian_int.norm_nonneg 0.000140 s: gaussian_int.coe_nat_abs_norm 0.001655 s: gaussian_int.mod_def 0.055895 s: gaussian_int.to_complex_sub 0.010804 s: gaussian_int.to_complex_mul 0.026156 s: gaussian_int.norm_sq_le_norm_sq_of_re_le_of_im_le 0.790145 s: abs_sub_round 1.309721 s: gaussian_int.to_complex_div_im 1.129885 s: gaussian_int.norm_sq_div_sub_div_lt_one 0.000864 s: complex.norm_sq_pos 0.006719 s: gaussian_int.to_complex_zero 0.040924 s: gaussian_int.to_complex_def₂ 0.000273 s: complex.mk.inj_eq 0.030823 s: gaussian_int.to_complex_inj 0.037354 s: gaussian_int.norm_mod_lt 0.005954 s: gaussian_int.nat_abs_norm_mod_lt 0.001630 s: ordinal.le_bsup 0.005345 s: ordinal.lt_bsup 0.003519 s: ordinal.bsup_id 0.000814 s: list.lookmap._main.equations._eqn_2 0.000150 s: list.lookmap.equations._eqn_2 0.000089 s: list.lookmap._match_1.equations._eqn_1 0.001325 s: list.lookmap_cons_none 0.000432 s: bounded_random.sizeof 0.000552 s: category_theory.limits.reflects_limits_of_reflects_isomorphisms 0.000737 s: category_theory.limits.reflects_limits_of_reflects_isomorphisms.equations._eqn_1 0.001074 s: equiv.subtype_pi_equiv_pi._proof_3 0.001135 s: dlist.append._sunfold 0.000190 s: is_well_order.cases_on 0.001562 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main._proof_7 0.087816 s: ideal.quotient.field.equations._eqn_1 0.063947 s: has_fderiv_at_pi' 0.046601 s: has_fderiv_at_pi 0.106486 s: differentiable_at_pi 0.019629 s: differentiable_pi 0.000096 s: category_theory.limits.wide_pushout_shape.hom.inhabited 0.000238 s: category_theory.limits.wide_pushout_shape.hom.inhabited.equations._eqn_1 0.000666 s: sym_sesq_form.is_sym 0.003173 s: sym_sesq_form.sym 0.001829 s: category_theory.limits.preserves_colimit.cases_on 0.002112 s: category_theory.limits.preserves_colimit.no_confusion_type 0.001979 s: category_theory.limits.preserves_colimit.no_confusion 0.001355 s: category_theory.limits.preserves_colimit.mk.inj 0.000147 s: setoid.sizeof 0.000047 s: setoid.has_sizeof_inst 0.000530 s: set.mem_of_mem_inter_left 0.000251 s: set.nonempty.some_mem 0.000110 s: set.mem_of_mem_inter_right 0.006613 s: affine_subspace.ext_of_direction_eq 0.004438 s: affine_subspace.eq_of_direction_eq_of_nonempty_of_le 0.000522 s: set.mem_of_mem_diff 0.013112 s: affine_independent_set_iff_linear_independent_vsub 0.002576 s: affine_independent_of_subset_affine_independent 0.003017 s: affine_independent_set_of_affine_independent 0.001531 s: set.finite.card_to_finset 0.113929 s: findim_vector_span_image_finset_of_affine_independent 0.107514 s: vector_span_image_finset_eq_of_le_of_affine_independent_of_card_eq_findim_add_one 0.103392 s: affine_span_image_finset_eq_of_le_of_affine_independent_of_card_eq_findim_add_one 0.102179 s: affine_span_eq_of_le_of_affine_independent_of_card_eq_findim_add_one 0.002505 s: affine_subspace.mem_top 0.014634 s: affine_subspace.direction_top 0.073415 s: affine_span_eq_top_of_affine_independent_of_card_eq_findim_add_one 0.008519 s: vadd_ite 0.000613 s: equiv.add_comm_group._proof_2 0.000438 s: omega.int.neg_elim._main.equations._eqn_6 0.001595 s: finset.map_eq_image 0.002847 s: finset.map_subset_iff_subset_preimage 0.005655 s: has_groupoid_model_space.equations._eqn_1 0.003584 s: fact.pow.pos 0.000253 s: bitvec.random._proof_1 0.000436 s: bitvec.random 0.000040 s: random_bitvec 0.001807 s: embed_product._proof_1 0.001429 s: embed_product._proof_2 0.000490 s: embed_product 0.000060 s: opposite.topological_space 0.000389 s: units.topological_space 0.000851 s: open_embedding.singleton_charted_space._proof_1 0.000270 s: open_embedding.singleton_charted_space 0.000154 s: units.charted_space._proof_1 0.001590 s: units.continuous_coe 0.000747 s: embed_product.equations._eqn_1 0.000226 s: continuous_op 0.017159 s: units.is_open_map_coe 0.000542 s: units.open_embedding_coe 0.000331 s: units.charted_space 0.002730 s: open_embedding.singleton_smooth_manifold_with_corners 0.001860 s: units.smooth_manifold_with_corners 0.000161 s: is_lub.equations._eqn_1 0.000495 s: category_theory.concrete_category.cases_on 0.000159 s: category_theory.concrete_category.no_confusion_type 0.000339 s: category_theory.concrete_category.no_confusion 0.000369 s: category_theory.concrete_category.mk.inj 0.000242 s: category_theory.concrete_category.mk.inj_arrow 0.003126 s: Algebra.coe_comp 0.000185 s: additive.add_right_cancel_monoid._proof_1 0.003973 s: Top.subpresheaf_to_Types.subtype 0.003216 s: lists'.subset_nil 0.011788 s: category_theory.limits.is_limit.subsingleton.equations._eqn_1 0.003997 s: affine_subspace.le_def 0.035044 s: has_ftaylor_series_up_to_on.rec_on 0.000993 s: category_theory.limits.walking_cospan.hom.id 0.002126 s: category_theory.limits.cospan_map_id 0.000140 s: decidable.subsingleton._match_2.equations._eqn_2 0.010650 s: times_cont_mdiff_on.prod_mk 0.002912 s: smooth_on.prod_mk 0.002082 s: smooth_on.inv 0.005569 s: smooth_on.div 0.001719 s: function.embedding.set_value_eq 0.000785 s: multiset.coe_filter_map 0.008831 s: submodule.le_comap_mkq 0.006321 s: submodule.comap_mkq.rel_iso._proof_1 0.014787 s: submodule.comap_mkq.rel_iso._match_1 0.002809 s: submodule.comap_mkq.rel_iso._proof_2 0.003473 s: submodule.comap_mkq.rel_iso 0.001530 s: submodule.comap_mkq.order_embedding 0.002600 s: submodule.comap_mkq_embedding_eq 0.001703 s: nat.digits_aux._main._pack.equations._eqn_2 0.000128 s: nat.digits_aux._main.equations._eqn_2 0.000081 s: nat.digits_aux.equations._eqn_2 0.001001 s: nat.digits_aux_def 0.031175 s: nat.digits_def' 0.141769 s: nat.norm_digits.digits_succ 0.018004 s: filter.germ.ordered_comm_group._proof_5 0.000289 s: pnat.rec_on._proof_1 0.009236 s: pnat.rec_on 0.000293 s: pnat.rec_on_one 0.122727 s: perfect_closure.perfect_ring._proof_2 0.014817 s: perfect_closure.lift_on 0.159972 s: perfect_closure.perfect_ring._match_1 0.154469 s: perfect_closure.perfect_ring._proof_3 0.018942 s: perfect_closure.induction_on 0.002579 s: perfect_closure.lift_on_mk 0.074042 s: perfect_closure.frobenius_mk 0.180479 s: perfect_closure.perfect_ring._match_2 0.157175 s: perfect_closure.perfect_ring._proof_4 0.206043 s: perfect_closure.perfect_ring._match_3 0.158539 s: perfect_closure.perfect_ring._proof_5 0.156720 s: perfect_closure.perfect_ring 0.154684 s: perfect_closure.perfect_ring.equations._eqn_1 0.000065 s: extend_from._proof_1 0.000110 s: extend_from 0.000498 s: tendsto_extend_from 0.030535 s: continuous_on_extend_from 0.003192 s: set.mem_Ioo_or_eq_endpoints_of_mem_Icc 0.013789 s: nhds_within_Ioo_eq_nhds_within_Iio 0.005848 s: continuous_on_Icc_extend_from_Ioo 0.000697 s: extend_from_eq 0.001034 s: eq_lim_at_right_extend_from_Ioo 0.001110 s: eq_lim_at_left_extend_from_Ioo 0.000359 s: is_local_extr.congr 0.000292 s: filter.eventually_eq_iff_exists_mem 0.000381 s: extend_from_extends 0.152708 s: exists_has_deriv_at_eq_zero' 0.183570 s: exists_ratio_has_deriv_at_eq_ratio_slope' 0.000572 s: tendsto_nhds_within_congr 0.000926 s: eventually_nhds_with_of_forall 0.256118 s: has_deriv_at.lhopital_zero_right_on_Ioo 0.111623 s: has_deriv_at.lhopital_zero_right_on_Ico 0.057383 s: ring.fractional_ideal.is_fractional_of_fg 0.012223 s: lie_hom.ker_eq_bot 0.000380 s: perms_of_list._sunfold 0.002946 s: is_CHSH_tuple.A₁B₁_commutes 0.000243 s: set.univ_decidable 0.000175 s: set.univ_decidable.equations._eqn_1 0.007558 s: asymptotics.is_O_with.prod_left_fst 0.007706 s: asymptotics.is_O_with.prod_left_snd 0.001427 s: asymptotics.is_O_with_prod_left 0.003839 s: category_theory.abelian.app_hom 0.018487 s: category_theory.abelian.pseudoelement.pseudo_surjective_of_epi 0.000073 s: list.ibelow 0.000950 s: mul_hom.comp_apply 0.000539 s: finset.filter_subset_filter 0.110175 s: real.of_rat_apply 0.000538 s: int.le_to_nat 0.002028 s: int.to_nat_le_to_nat 0.019163 s: monotone.seq_pos_lt_seq_of_le_of_lt 0.000112 s: strict_mono_id 0.000307 s: strict_mono.comp 0.001109 s: strict_mono.iterate 0.006390 s: function.commute.iterate_pos_lt_of_map_lt 0.003409 s: function.commute.iterate_eq_of_map_eq 0.000310 s: strict_mono.order_dual 0.004438 s: function.commute.iterate_pos_lt_of_map_lt' 0.003968 s: function.commute.iterate_pos_lt_iff_map_lt 0.022394 s: function.commute.iterate_pos_lt_iff_map_lt' 0.006471 s: function.commute.iterate_pos_le_iff_map_le 0.002077 s: function.commute.iterate_pos_le_iff_map_le' 0.000688 s: function.commute.iterate_pos_eq_iff_map_eq 0.157962 s: scale_roots_eval₂_eq_zero_of_eval₂_div_eq_zero 0.033504 s: lie_submodule.mem_sup 0.001902 s: lie_submodule.mono_lie_right 0.037463 s: lie_submodule.lie_sup 0.013519 s: distrib_lattice.copy._aux_8 0.001930 s: ordnode.repr._main.equations._eqn_2 0.005736 s: submodule.mem_span_finite_of_mem_span 0.000109 s: submodule.has_sizeof_inst 0.000057 s: pgame.inv_ty.has_sizeof_inst 0.000597 s: pgame.inv_ty.right₂.sizeof_spec 0.000067 s: turing.tape.has_sizeof_inst 0.000234 s: turing.TM0.cfg.sizeof 0.034732 s: linear_map.mk_continuous₂.equations._eqn_1 0.011605 s: category_theory.subobject.factors_comp_arrow 0.000137 s: computation.terminates.term 0.000128 s: computation.terminates_iff 0.000521 s: computation.terminates_congr 0.000121 s: computation.equiv.trans 0.000060 s: computation.equiv.symm 0.000132 s: wseq.bisim_o 0.000374 s: wseq.destruct_congr 0.003417 s: wseq.head_congr 0.004351 s: wseq.destruct_flatten 0.002495 s: computation.lift_rel_bind 0.000799 s: computation.lift_rel_return 0.004416 s: wseq.lift_rel_flatten 0.000183 s: wseq.flatten_congr 0.003778 s: wseq.tail_congr 0.001308 s: wseq.dropn_congr 0.000172 s: wseq.nth_congr 0.000621 s: wseq.flatten_equiv 0.008338 s: wseq.equiv.ext 0.002096 s: category_theory.center.iso_mk_inv_f 0.000044 s: unit.uniform_space 0.000029 s: unit.uniform_space.equations._eqn_1 0.008316 s: division_ring_of_is_unit_or_eq_zero._proof_6 0.001806 s: polynomial.trailing_degree_C_mul_X_pow 0.000251 s: borel_space.drec 0.000740 s: Gromov_Hausdorff.aux_gluing._proof_13 0.001082 s: finset.infi_coe 0.001515 s: finset.infi_finset_image 0.000326 s: mul_equiv.submonoid_congr._proof_1 0.003175 s: con.lift_range 0.000666 s: con.ker_lift_range_eq 0.000183 s: monoid_hom.mrange_restrict._proof_1 0.000759 s: monoid_hom.mrange_restrict 0.001590 s: con.ker_lift_injective 0.005152 s: con.quotient_ker_equiv_range._match_2 0.004780 s: con.quotient_ker_equiv_range._proof_1 0.001824 s: nonempty_fin_lin_ord.sizeof 0.002054 s: category_theory.types_glue.equations._eqn_1 0.000372 s: pseudo_emetric_space.to_uniform_space._default 0.000327 s: pseudo_emetric_space.to_uniform_space._default.equations._eqn_1 0.001119 s: finsupp.sum_finsupp_equiv_prod_finsupp_apply 0.000080 s: stream.zip 0.000174 s: stream.nth_zip 0.000461 s: stream.approx._main 0.000026 s: stream.approx 0.000375 s: stream.approx_succ 0.000247 s: stream.inits_core.equations._eqn_1 0.000129 s: stream.corec_on.equations._eqn_1 0.001003 s: stream.inits_core_eq 0.001465 s: stream.tail_inits 0.002264 s: stream.cons_nth_inits_core 0.002118 s: stream.nth_inits 0.001018 s: stream.drop_succ 0.000836 s: stream.nth_tails 0.000159 s: stream.nth_const 0.000977 s: stream.append_approx_drop 0.000869 s: stream.zip_inits_tails 0.000043 s: seq.terminates 0.000082 s: seq.terminates.equations._eqn_1 0.011908 s: complex.sin_sub 0.071241 s: complex.sin_sub_sin 0.020255 s: real.sin_sub_sin 0.000023 s: tactic.itauto.proof.triv.inj 0.000032 s: tactic.itauto.proof.triv.inj_eq 0.000220 s: opposite.equiv_to_opposite.equations._eqn_1 0.003307 s: nnreal.add_sub_eq_max 0.008592 s: polynomial.add_hom_ext' 0.000456 s: ordnode.any._main 0.000179 s: ordnode.any 0.000115 s: ordnode.has_singleton 0.001154 s: ordnode.any_singleton 0.005128 s: list.kerase_kerase 0.000188 s: times_cont_diff_bump_of_inner.no_confusion_type 0.000336 s: triv_sq_zero_ext.has_scalar.equations._eqn_1 0.000579 s: pgame.le_lt_decidable._main._pack._proof_13 0.001143 s: set.image_inter_support_eq 0.003385 s: finsum_mem_image' 0.000163 s: finsum_true 0.000509 s: finsum_mem_univ 0.002352 s: finsum_mem_range' 0.000444 s: finsum_mem_range 0.002293 s: finsum_set_coe_eq_finsum_mem 0.000564 s: finsum_subtype_eq_finsum_cond 0.000978 s: continuous_at_congr 0.000136 s: continuous_at.congr 0.002886 s: continuous_finsum 0.001869 s: continuous_finsum_cond 0.001784 s: monoid_with_zero.to_mul_action_with_zero.equations._eqn_1 0.002922 s: add_localization.add_equiv_of_quotient_symm_add_monoid_of 0.000123 s: metric.inductive_limit_dist._proof_2 0.000624 s: metric.inductive_limit_dist 0.000566 s: metric.inductive_limit_dist.equations._eqn_1 0.002149 s: metric.inductive_premetric._proof_1 0.030081 s: metric.inductive_limit_dist_eq_dist 0.007483 s: metric.inductive_premetric._proof_2 0.004398 s: metric.inductive_premetric._proof_3 0.000154 s: metric.inductive_premetric._proof_4 0.001816 s: metric.inductive_premetric._proof_5 0.003134 s: metric.inductive_premetric._proof_6 0.003636 s: metric.inductive_premetric._proof_7 0.016705 s: metric.inductive_premetric._proof_8 0.010282 s: metric.inductive_premetric 0.000510 s: metric.inductive_limit 0.001394 s: metric.metric_space_inductive_limit 0.001865 s: metric.metric_space_inductive_limit.equations._eqn_1 0.000241 s: dlist.list_equiv_dlist.equations._eqn_1 0.001317 s: strict_mono.mul 0.000272 s: composition.has_to_string.equations._eqn_1 0.001010 s: lie_algebra.cases_on 0.000487 s: lie_algebra.no_confusion_type 0.000759 s: lie_algebra.no_confusion 0.000074 s: forall_pempty 0.000031 s: side.inhabited 0.001759 s: punit.one_eq 0.003140 s: submodule.linear_proj_of_is_compl_ker 0.066185 s: hyperreal.infinite_pos_add_not_infinite_neg 0.014046 s: hyperreal.infinite_neg_add_not_infinite_pos 0.000683 s: matrix.bit0_apply 0.070170 s: has_strict_fderiv_at.implicit_function 0.018759 s: has_strict_fderiv_at.implicit_function_of_complemented 0.008924 s: has_strict_fderiv_at.implicit_to_local_homeomorph_of_complemented_apply 0.010586 s: has_strict_fderiv_at.implicit_to_local_homeomorph_of_complemented_self 0.064853 s: has_strict_fderiv_at.mem_implicit_to_local_homeomorph_of_complemented_source 0.015696 s: has_strict_fderiv_at.mem_implicit_to_local_homeomorph_of_complemented_target 0.009423 s: has_strict_fderiv_at.map_implicit_function_of_complemented_eq 0.070631 s: has_strict_fderiv_at.map_implicit_function_eq 0.000242 s: mul_action.fixed_points.equations._eqn_1 0.000837 s: Class.mem_hom_right 0.000851 s: Set.mem_map 0.014662 s: Class.of_Set.inj 0.002175 s: Class.to_Set_of_Set 0.003050 s: Set.map_fval 0.000503 s: ordered_comm_monoid.npow._default.equations._eqn_1 0.000253 s: filter.germ.has_sup.equations._eqn_1 0.016690 s: category_theory.regular_of_is_pullback_snd_of_regular.equations._eqn_1 0.004807 s: filter.eventually_prod_iff 0.000166 s: simple_graph.edge_symm 0.000351 s: simple_graph.compl._match_1 0.000113 s: simple_graph.compl._proof_1 0.001059 s: lie_submodule.add_comm_monoid._proof_1 0.000649 s: lie_submodule.add_comm_monoid._proof_2 0.000633 s: lie_submodule.add_comm_monoid._proof_3 0.000613 s: lie_submodule.add_comm_monoid._proof_4 0.000406 s: lie_submodule.add_comm_monoid._proof_5 0.017635 s: lie_submodule.add_comm_monoid._proof_6 0.016543 s: lie_submodule.add_comm_monoid._proof_7 0.002655 s: lie_submodule.add_comm_monoid._proof_8 0.033178 s: lie_submodule.add_comm_monoid 0.008901 s: lie_submodule.add_eq_sup 0.000059 s: hyperreal.infinite.equations._eqn_1 0.000062 s: real.semilattice_inf 0.004732 s: filter.mem_at_bot_sets 0.185836 s: has_deriv_at.lhopital_zero_at_top_on_Ioi 0.165278 s: has_deriv_at.lhopital_zero_at_bot_on_Iio 0.095302 s: has_deriv_at.lhopital_zero_at_bot 0.000121 s: setoid.rec_on 0.000684 s: vector_span.equations._eqn_1 0.013490 s: ae_measurable.mono' 0.000789 s: option.get._sunfold 0.001745 s: mul_equiv.map_prod 0.071308 s: polynomial.irreducible_factor.equations._eqn_1 0.009500 s: function.injective.linear_ordered_comm_monoid._proof_10 0.001388 s: algebraic_geometry.Spec.SheafedSpace.equations._eqn_1 0.000311 s: quiver.path.rec_on 0.004079 s: function.injective.linear_ordered_add_comm_monoid._proof_3 0.073875 s: real.times_cont_diff_cosh 0.012059 s: category_theory.groupoid.cases_on 0.002411 s: category_theory.groupoid.no_confusion_type 0.002419 s: category_theory.groupoid.no_confusion 0.009453 s: add_subgroup.normal_inf 0.006243 s: category_theory.coev_ev_assoc 0.007238 s: nat.eq_zero_of_double_le 0.001561 s: nat.eq_zero_of_mul_le 0.002740 s: quotient_group.map._proof_1 0.029074 s: quotient_group.map 0.018192 s: quotient_group.map.equations._eqn_1 0.001626 s: monoid_hom.prod_map_def 0.001286 s: category_theory.eq_to_iso_trans 0.002864 s: zmod.cast_one' 0.010471 s: polynomial.map_dickson 0.014742 s: ring_hom.char_p_iff_char_p 0.006102 s: polynomial.infinite 0.005150 s: polynomial.eq_of_infinite_eval_eq 0.062532 s: polynomial.dickson_one_one_eval_add_inv 0.575705 s: polynomial.dickson_one_one_zmod_p 0.046216 s: polynomial.dickson_one_one_char_p 0.009066 s: sigma_compact_space.of_countable 0.002894 s: lie_subalgebra.sub_mem 0.001353 s: lie_subalgebra.normalizer._proof_4 0.000194 s: has_vadd.sizeof 0.000041 s: has_vadd.has_sizeof_inst 0.000438 s: add_action.sizeof 0.000050 s: add_action.has_sizeof_inst 0.000174 s: has_vsub.sizeof 0.000114 s: has_vsub.has_sizeof_inst 0.000936 s: add_torsor.sizeof 0.000101 s: add_torsor.has_sizeof_inst 0.000553 s: normed_add_torsor.sizeof 0.002082 s: normed_add_torsor.mk.sizeof_spec 0.000166 s: omega.ee.repr._main 0.000024 s: omega.ee.repr 0.000505 s: omega.ee.repr._main.equations._eqn_3 0.000057 s: omega.ee.repr.equations._eqn_3 0.001503 s: nat.galois_connection_mul_div 0.000452 s: polynomial.content_eq_gcd_range_succ 0.001689 s: category_theory.subobject.eq_of_comm 0.003105 s: category_theory.subobject.eq_mk_of_comm 0.000821 s: category_theory.subobject.underlying_iso_hom_comp_eq_mk 0.002049 s: category_theory.subobject.mk_eq_mk_of_comm 0.002513 s: category_theory.subobject.of_mk_le_mk_comp 0.000256 s: category_theory.subobject.iso_of_mk_eq_mk._proof_1 0.000281 s: category_theory.subobject.iso_of_mk_eq_mk._proof_2 0.030606 s: category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk 0.002068 s: category_theory.subobject.of_mk_le_mk_refl 0.001447 s: category_theory.subobject.iso_of_mk_eq_mk._proof_3 0.001534 s: category_theory.subobject.iso_of_mk_eq_mk._proof_4 0.001447 s: category_theory.subobject.iso_of_mk_eq_mk 0.002871 s: category_theory.subobject.is_iso_iff_mk_eq_top 0.000986 s: category_theory.subobject.is_iso_arrow_iff_eq_top 0.000301 s: category_theory.subobject.eq_top_of_is_iso_arrow 0.009591 s: AddCommMon.forget_reflects_isos 0.008151 s: AddCommMon.forget_reflects_isos.equations._eqn_1 0.000068 s: rack.is_involutory 0.000580 s: rack.involutory_inv_act_eq_act 0.002006 s: fin.cast_add_mk 0.000044 s: generalized_continued_fraction.of_integer 0.001781 s: simple_continued_fraction.of_integer._proof_1 0.000294 s: simple_continued_fraction.of_integer 0.002005 s: continued_fraction.of_integer._proof_1 0.000193 s: continued_fraction.of_integer 0.000293 s: continued_fraction.of_integer.equations._eqn_1 0.000451 s: nat.cast_comm 0.006880 s: polynomial.C_mul_monomial 0.002863 s: polynomial.eval_C_mul 0.001339 s: polynomial.eval_nat_cast_mul 0.008463 s: pochhammer_pos 0.001138 s: category_theory.algebra_equiv_under_functor 0.000133 s: has_lift_t.sizeof 0.000405 s: has_lift_t.mk.sizeof_spec 0.001477 s: add_equiv.map_finsupp_sum 0.003858 s: preorder_hom.semilattice_sup.equations._eqn_1 0.010262 s: complex.sin_add_pi_div_two 0.002179 s: normed_group_hom.to_add_monoid_hom_injective 0.001471 s: localization_map.order_iso_of_prime._proof_1 0.001274 s: localization_map.order_iso_of_prime._proof_2 0.004205 s: localization_map.order_iso_of_prime._proof_4 0.019349 s: localization_map.order_iso_of_prime._proof_5 0.007633 s: localization_map.order_iso_of_prime 0.005789 s: localization_map.order_iso_of_prime.equations._eqn_1 0.002066 s: interval_integral.integral_has_deriv_at_of_tendsto_ae_right 0.001149 s: interval_integral.deriv_integral_of_tendsto_ae_right 0.001073 s: category_theory.monad.forget_creates_limits.new_cone_X 0.000111 s: category_theory.pairwise.sizeof 0.023351 s: abs_is_absolute_value.equations._eqn_1 0.002828 s: differentiable_on_neg_iff 0.001119 s: finset.subset_def 0.001103 s: multiset.map_subset_map 0.001109 s: finset.map_subset_map 0.000437 s: finset.map_inj 0.000103 s: finset.map_embedding._proof_1 0.000095 s: finset.map_embedding 0.000162 s: finset.map_embedding.equations._eqn_1 0.000731 s: field_of_integral_domain._proof_6 0.000836 s: rel_embedding.to_rel_hom.equations._eqn_1 0.001341 s: category_theory.limits.coequalizer.condition_assoc 0.000097 s: tactic.explode.status.cases_on 0.000081 s: tactic.simp_config.use_axioms 0.000261 s: add_submonoid.no_confusion_type 0.000410 s: add_submonoid.no_confusion 0.000591 s: add_submonoid.mk.inj 0.000783 s: add_submonoid.mk.inj_arrow 0.000258 s: turing.partrec_to_TM2.halt 0.000030 s: turing.partrec_to_TM2.tr_cont 0.000476 s: turing.partrec_to_TM2.tr_llist._main 0.000024 s: turing.partrec_to_TM2.tr_llist 0.000911 s: turing.partrec_to_TM2.cont_stack._main 0.000026 s: turing.partrec_to_TM2.cont_stack 0.000028 s: turing.partrec_to_TM2.tr_cont_stack 0.000257 s: turing.partrec_to_TM2.tr_cfg._main 0.000220 s: turing.partrec_to_TM2.tr_cfg._main.equations._eqn_1 0.000197 s: category_theory.sheaf.subcanonical 0.008952 s: category_theory.sheaf.le_finest_topology 0.001143 s: category_theory.sheaf.subcanonical.of_yoneda_is_sheaf 0.000332 s: char_zero.drec_on 0.000136 s: topological_space.first_countable_topology.dcases_on 0.001441 s: function.surjective.comm_group_with_zero._proof_4 0.002363 s: algebra.mul_sub_algebra_map_commutes 0.004112 s: algebra.mul_sub_algebra_map_pow_commutes 0.167257 s: module.End.map_generalized_eigenrange_le 0.026329 s: Mon_.unique_hom_from_trivial._proof_3 0.000059 s: omega.int.push_neg.equations._eqn_5 0.011203 s: _private.2676441349.tmul_symm.equations._eqn_1 0.021029 s: category_theory.limits.cocones.functoriality_equivalence_counit_iso 0.006463 s: subfield.mk.sizeof_spec 0.001248 s: affine_equiv.const_vsub.equations._eqn_1 0.001795 s: lie_submodule.has_zero.equations._eqn_1 0.007159 s: exists_preirreducible 0.000244 s: irreducible_component._proof_1 0.000197 s: irreducible_component 0.000467 s: irreducible_component_property 0.000230 s: mem_irreducible_component 0.000541 s: is_irreducible_irreducible_component 0.001624 s: category_theory.pretopology.trivial._proof_1 0.006894 s: category_theory.pretopology.trivial._proof_2 0.008881 s: category_theory.pretopology.trivial._proof_3 0.001202 s: category_theory.pretopology.trivial 0.000315 s: quiver.path.sizeof 0.000059 s: quiver.path.has_sizeof_inst 0.000246 s: monad_io_file_system.flush 0.000049 s: io.fs.flush 0.000084 s: io.fs.flush.equations._eqn_1 0.000335 s: differentiable_on_id 0.002893 s: differentiable_on_neg 0.014386 s: lie_algebra.special_linear.sl._proof_1 0.011818 s: lie_algebra.special_linear.sl._proof_2 0.010652 s: lie_algebra.special_linear.sl._proof_3 0.375853 s: lie_algebra.matrix_trace_commutator_zero 0.024096 s: lie_algebra.special_linear.sl._proof_4 0.114474 s: lie_algebra.special_linear.sl 0.014127 s: generalized_continued_fraction.int_fract_pair.has_repr 0.012002 s: subtype_val.is_add_group_hom.equations._eqn_1 0.004377 s: linear_map.general_linear_group.to_linear_equiv.equations._eqn_1 0.000641 s: ordinal.le._match_9.equations._eqn_1 0.000222 s: option_t.monad_run 0.000260 s: option_t.monad_run.equations._eqn_1 0.010336 s: hahn_series.semiring.equations._eqn_1 0.000483 s: equiv.sum_pempty_symm_apply 0.000141 s: pprod.cases_on 0.000137 s: pprod.no_confusion_type 0.000352 s: int.test_bit._main.equations._eqn_2 0.000104 s: int.test_bit.equations._eqn_2 0.003857 s: free_algebra.ι_comp_lift 0.000135 s: category_theory.limits.has_finite_limits.out 0.000077 s: category_theory.limits.has_limits_of_shape_of_has_finite_limits 0.000046 s: category_theory.limits.wide_pullback_shape.equations._eqn_1 0.000122 s: category_theory.limits.wide_pullback_shape.fintype_obj._proof_1 0.000090 s: category_theory.limits.wide_pullback_shape.fintype_obj 0.004013 s: category_theory.limits.wide_pullback_shape.hom.decidable_eq 0.000242 s: category_theory.limits.wide_pullback_shape.fintype_hom._proof_1 0.009986 s: category_theory.limits.wide_pullback_shape.fintype_hom._proof_2 0.001894 s: category_theory.limits.wide_pullback_shape.fintype_hom 0.001080 s: category_theory.limits.fin_category_wide_pullback 0.000410 s: finset.le_inf 0.008500 s: category_theory.limits.complete_lattice.has_finite_limits_of_semilattice_inf_top 0.037634 s: opens.pretopology._proof_1 0.043218 s: opens.pretopology._proof_2 0.012806 s: opens.pretopology._proof_3 0.098352 s: opens.pretopology._proof_4 0.023889 s: opens.pretopology._proof_5 0.004207 s: opens.pretopology 0.002627 s: opens.grothendieck_topology._proof_1 0.045021 s: opens.grothendieck_topology._proof_2 0.013616 s: opens.grothendieck_topology._proof_3 0.001627 s: opens.grothendieck_topology 0.008455 s: opens.pretopology_to_grothendieck 0.000204 s: real.borel_space.equations._eqn_1 0.000709 s: measure_theory.measure.is_complete_iff 0.225439 s: measure_theory.integral_mul_left 0.000462 s: fin.last.equations._eqn_1 0.080983 s: abs_le_abs_of_sqr_le_sqr 0.013345 s: perfection.coeff_pow_p' 0.018468 s: perfection.map._proof_2 0.000339 s: localization.away.monoid_of 0.000486 s: localization.away.monoid_of.equations._eqn_1 0.003847 s: group.conjugates_of_subset 0.000587 s: group.conjugates_of_set_subset' 0.001875 s: group.normal_closure_subset 0.000214 s: group.normal_closure_subset_iff 0.000181 s: topological_space.open_nhds_of.equations._eqn_1 0.000860 s: subsemiring.complete_lattice._match_1.equations._eqn_1 0.001287 s: category_theory.preadditive.no_confusion_type 0.001625 s: category_theory.preadditive.no_confusion 0.000051 s: int.ring.equations._eqn_1 0.000506 s: list.unzip._match_1.equations._eqn_1 0.042378 s: is_primitive_root.mem_roots_of_unity 0.000178 s: parser.unfailing.rec_on 0.000407 s: writer_t.lift.equations._eqn_1 0.000101 s: nzsnum.no_confusion_type 0.000305 s: nzsnum.no_confusion 0.000205 s: nzsnum.bit.inj 0.000071 s: nzsnum.bit.inj_arrow 0.007220 s: local_homeomorph.symm_image_eq_source_inter_preimage 0.008445 s: typevec.of_subtype'._main.equations._eqn_2 0.004152 s: typevec.of_subtype'.equations._eqn_2 0.000880 s: to_add_div 0.000341 s: ordnode.split_max._main.equations._eqn_1 0.000820 s: multiset.coe_filter 0.026302 s: algebra.finite_presentation 0.028855 s: ring_hom.finite_presentation 0.015544 s: ring_hom.ker_coe_equiv 0.073460 s: algebra.finite_presentation.equiv 0.018010 s: is_scalar_tower.comap 0.028068 s: submodule.fg_ker_comp 0.020775 s: submodule.fg_restrict_scalars 0.201608 s: submodule.fg_ker_ring_hom_comp 0.048706 s: ideal.quotient.mkₐ_ker 0.066915 s: algebra.finite_presentation.quotient 0.105645 s: algebra.finite_presentation.mv_polynomial 0.106294 s: algebra.finite_presentation.iff 0.015783 s: ideal.map.equations._eqn_1 0.055118 s: submodule.map_fg_of_fg 0.039370 s: ideal.quotient.alg_map_eq 0.047098 s: ideal.quotient.is_scalar_tower 0.036684 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_1 0.004510 s: mv_polynomial.eval₂_sum 0.080374 s: mv_polynomial.eval₂_C_mk_eq_zero 0.079946 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_2 0.010575 s: mv_polynomial.bind₂_C_right 0.133908 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_3 0.198856 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_4 0.127018 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_5 0.117172 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_6 0.111976 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial._proof_7 0.189705 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial 0.547675 s: algebra.finite_presentation.mv_polynomial_of_finite_presentation 0.160596 s: algebra.finite_presentation.trans 0.074113 s: ring_hom.finite_presentation.comp 0.006951 s: filter.pure_prod 0.009624 s: continuous_uncurry_of_discrete_topology_left 0.000921 s: continuous.iterate 0.000594 s: flow.from_iter._proof_3 0.094840 s: has_deriv_at.cosh 0.146660 s: deriv_cosh 0.001364 s: filter.applicative.equations._eqn_1 0.000082 s: tactic.itauto.prop.false.inj 0.001331 s: seq.mem_cons_of_mem 0.000246 s: tactic.itauto.and_kind.sides._main.equations._eqn_3 0.000090 s: tactic.itauto.and_kind.sides.equations._eqn_3 0.021684 s: mv_polynomial.zero_locus_anti_mono 0.000054 s: ADE_inequality.A 0.000217 s: free_group.red.decidable_rel._match_1._proof_1 0.030893 s: complex.sin_nat_mul_pi 0.051977 s: complex.sin_int_mul_pi 0.041087 s: complex.tan_int_mul_pi 0.002749 s: is_coprime.of_mul_add_left_left 0.003282 s: is_coprime.mul_add_left_left_iff 0.000768 s: asymptotics.is_o.of_const_mul_right 0.003747 s: asymptotics.is_o_const_mul_right_iff' 0.004894 s: cardinal.mk_Iic_real 0.001453 s: equiv.perm.prod_extend_right.equations._eqn_1 0.000884 s: lie_ring_self_module.equations._eqn_1 0.000516 s: omega.update_zero._main.equations._eqn_2 0.083814 s: affine.triangle.orthocenter_mem_affine_span 0.000100 s: function.graph 0.000199 s: function.graph.equations._eqn_1 0.021985 s: set.preimage_eq 0.000589 s: add_monoid_hom.prod_map 0.002059 s: add_monoid_hom.prod_map.equations._eqn_1 0.007446 s: set.Union_inter_subset 0.008397 s: set.Union_inter_of_monotone 0.001012 s: pos.decidable_eq._sunfold 0.001616 s: times_cont_diff_at.sum 0.000139 s: Top.equations._eqn_1 0.004152 s: ideal.quotient_map_surjective 0.002125 s: set.Icc.semilattice_inf_top._proof_4 0.002744 s: id_restr_groupoid.equations._eqn_1 0.120713 s: adic_completion.eval_apply 0.019424 s: max_self 0.022191 s: polynomial.degree_add_eq_of_leading_coeff_add_ne_zero 0.002153 s: polynomial.leading_coeff_add_of_degree_eq 0.008334 s: ennreal.has_measurable_sub₂.equations._eqn_1 0.004401 s: lt_mul_iff_one_lt_right 0.015894 s: nat.factorial_lt 0.000899 s: nat.one_lt_factorial 0.008693 s: nat.factorial_eq_one 0.027028 s: nat.add_factorial_succ_lt_factorial_add_succ 0.000737 s: is_galois.rec_on 0.000443 s: sym_bilin_form.is_sym 0.014509 s: bilin_form.to_quadratic_form._proof_1 0.038814 s: bilin_form.to_quadratic_form._proof_4 0.039543 s: bilin_form.to_quadratic_form._proof_5 0.003274 s: bilin_form.to_quadratic_form 0.002897 s: bilin_form.to_quadratic_form_apply 0.023384 s: quadratic_form.associated_to_quadratic_form 0.000337 s: sym_bilin_form.sym 0.009341 s: quadratic_form.associated_left_inverse 0.102588 s: field.local_ring.equations._eqn_1 0.000196 s: Group.group.to_monoid.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.000643 s: add_subgroup.to_linear_ordered_add_comm_group._proof_3 0.016177 s: cfilter.of_equiv._main 0.000086 s: cfilter.of_equiv 0.002715 s: cfilter.of_equiv_val 0.005809 s: filter.realizer.of_equiv._match_1 0.000905 s: tactic.ring2.horner_expr.horner'._match_1.equations._eqn_2 0.003853 s: filter.tendsto_Ici_at_top 0.016063 s: nnreal.tendsto_coe_at_top 0.002287 s: tendsto_of_monotone 0.173123 s: nnreal.not_summable_iff_tendsto_nat_at_top 0.062265 s: not_summable_iff_tendsto_nat_at_top_of_nonneg 0.008383 s: summable_iff_not_tendsto_nat_at_top_of_nonneg 0.015199 s: set.sigma_to_Union_injective 0.000758 s: set.sigma_to_Union_bijective 0.000433 s: set.Union_eq_sigma_of_disjoint 0.001151 s: cardinal.mk_Union_eq_sum_mk 1.113662 s: is_R_or_C.abs_abs_sub_le_abs_sub 0.034280 s: is_R_or_C.is_cau_seq_abs 0.118529 s: convex_halfspace_gt 0.014206 s: category_theory.monoidal_category.tensor_unit_right._proof_1 0.000464 s: pequiv.ext_iff 0.012863 s: pequiv.to_matrix_injective 0.000062 s: quiver.weakly_connected_component 0.000148 s: quiver.weakly_connected_component.mk 0.000061 s: quiver.weakly_connected_component.has_coe_t 0.001107 s: mul_action_with_zero.cases_on 0.000505 s: mul_action_with_zero.no_confusion_type 0.000775 s: mul_action_with_zero.no_confusion 0.002268 s: set.indicator_indicator 0.000568 s: set.indicator_inter_support 0.000994 s: finsum_mem_inter_support 0.003266 s: finsum_mem_union_inter 0.002488 s: finsum_mem_union_inter' 0.000119 s: finsum_false 0.000974 s: finsum_mem_empty 0.001373 s: finsum_mem_union' 0.000734 s: finsum_mem_union 0.000045 s: list.has_dec_eq._main._proof_1 0.000638 s: linear_map.default_def 0.000262 s: slim_check.test_result.sizeof 0.000045 s: slim_check.test_result.has_sizeof_inst 0.001170 s: invertible_neg.equations._eqn_1 0.001949 s: ext_chart_at_map_nhds 0.000497 s: ereal.neg._main.equations._eqn_3 0.001842 s: subalgebra_equiv_intermediate_field._proof_1 0.002147 s: subalgebra_equiv_intermediate_field._proof_2 0.002984 s: subalgebra_equiv_intermediate_field._proof_3 0.004990 s: subalgebra_equiv_intermediate_field 0.000950 s: pi.comm_semigroup.equations._eqn_1 0.022711 s: submodule.annihilator._proof_1 0.018333 s: submodule.annihilator 0.000869 s: submodule.colon 0.024612 s: submodule.mem_annihilator 0.011634 s: submodule.mem_colon 0.002327 s: submodule.colon_mono 0.020437 s: submodule.mem_colon' 0.046455 s: submodule.infi_colon_supr 0.000191 s: znum.add._main.equations._eqn_2 0.008777 s: hahn_series.C._proof_1 0.000828 s: hahn_series.single_coeff_of_ne 0.000678 s: hahn_series.support_single_subset 0.000812 s: hahn_series.eq_of_mem_support_single 0.006884 s: hahn_series.single_mul_single 0.003494 s: hahn_series.C._proof_2 0.000626 s: hahn_series.C._proof_3 0.004129 s: hahn_series.C._proof_4 0.004899 s: hahn_series.C 0.001489 s: hahn_series.C_apply 0.001854 s: hahn_series.is_scalar_tower 0.014170 s: hahn_series.algebra._proof_1 0.016261 s: hahn_series.algebra._proof_2 0.003384 s: hahn_series.algebra 0.012703 s: hahn_series.to_power_series_alg._proof_2 0.008709 s: hahn_series.to_power_series_alg._proof_3 0.002968 s: hahn_series.algebra_map_apply 0.002064 s: power_series.algebra_map_apply 0.026931 s: hahn_series.to_power_series_alg._proof_5 0.016114 s: hahn_series.to_power_series_alg 0.011996 s: hahn_series.to_power_series_alg_symm_apply 0.000080 s: list.empty._sunfold 0.006426 s: algebraic_geometry.Scheme.local_affine 0.002201 s: filter.tendsto.inner 0.000825 s: continuous_within_at.inner 0.003249 s: add_con.comap_eq 0.000028 s: quandle.dihedral 0.000377 s: quandle.dihedral_act 0.021114 s: quandle.dihedral_act.inv 0.000079 s: quandle.dihedral.quandle._proof_2 0.000149 s: nat.bit_tt 0.000320 s: nat.test_bit_zero 0.004038 s: nat.shiftr_add 0.001063 s: nat.test_bit_succ 0.000060 s: nat.test_bit.equations._eqn_1 0.000201 s: nat.zero_test_bit 0.183664 s: nat.exists_most_significant_bit 0.023315 s: turing.tape.move_left_mk' 0.000497 s: filter.germ.semilattice_sup_top._proof_7 0.006173 s: smooth_monoid_morphism.has_one 0.015114 s: char_p.subring 0.000652 s: char_p.subring' 0.003364 s: category_theory.lifts_to_colimit.mk.inj_arrow 0.000734 s: closure_operator.mem_closed_iff 0.000322 s: omega.ee.reduce.inj 0.000073 s: omega.ee.reduce.inj_arrow 0.084143 s: is_R_or_C.conj_eq_zero 0.001136 s: is_add_submonoid.coe_zero 0.000246 s: rack.rec_on 0.013194 s: filter.germ.semilattice_inf_top._proof_3 0.000324 s: turing.TM2to1.st_var._main 0.000077 s: turing.TM2to1.st_var 0.000212 s: turing.TM2to1.st_write._main 0.000079 s: turing.TM2to1.st_write 0.002640 s: turing.TM2to1.tr_st_act._main 0.000235 s: turing.TM2to1.tr_st_act 0.005286 s: turing.list_blank.has_emptyc 0.000858 s: turing.TM2to1.st_write._main.equations._eqn_1 0.000642 s: turing.TM2to1.st_write.equations._eqn_1 0.001457 s: turing.TM2to1.tr_st_act._main.equations._eqn_1 0.001106 s: turing.TM2to1.tr_st_act.equations._eqn_1 0.002968 s: turing.TM1.step_aux._main.equations._eqn_2 0.000481 s: turing.TM1.step_aux.equations._eqn_2 0.001629 s: turing.TM1.step_aux._main.equations._eqn_1 0.000248 s: turing.TM1.step_aux.equations._eqn_1 0.000475 s: turing.TM2to1.st_var._main.equations._eqn_1 0.000307 s: turing.TM2to1.st_var.equations._eqn_1 0.000063 s: turing.list_blank.modify_nth 0.000923 s: turing.list_blank.modify_nth._main.equations._eqn_1 0.000235 s: turing.list_blank.modify_nth.equations._eqn_1 0.006371 s: turing.list_blank.nth_zero 0.008196 s: turing.list_blank.nth_succ 0.000403 s: turing.list_blank.modify_nth.equations._eqn_2 0.005845 s: turing.list_blank.nth_modify_nth 0.000748 s: turing.proj.equations._eqn_1 0.000516 s: turing.pointed_map.mk_val 0.000334 s: decidable.lt_or_gt_of_ne 0.002286 s: turing.tape.move_right_left 0.011391 s: turing.tape.move_left_nth 0.004294 s: turing.tape.move_right_nth 0.001754 s: turing.tape.move_right_n_head 0.000170 s: turing.tape.right₀.equations._eqn_1 0.000235 s: turing.tape.nth._main.equations._eqn_1 0.000092 s: turing.tape.nth.equations._eqn_1 0.000771 s: turing.tape.nth._main.equations._eqn_2 0.000135 s: turing.tape.nth.equations._eqn_2 0.001374 s: turing.tape.right₀_nth 0.000242 s: turing.tape.mk'_right₀ 0.000397 s: turing.tape.mk'_nth_nat 0.002894 s: turing.list_blank.map_modify_nth 0.005244 s: turing.TM2to1.add_bottom_modify_nth 0.001187 s: turing.tape.move_right_mk' 0.002824 s: turing.tape.write_move_right_n 0.000345 s: turing.TM2to1.st_write._main.equations._eqn_2 0.000463 s: turing.TM2to1.st_write.equations._eqn_2 0.001164 s: turing.TM2to1.tr_st_act._main.equations._eqn_2 0.000598 s: turing.TM2to1.tr_st_act.equations._eqn_2 0.001359 s: turing.TM1.step_aux._main.equations._eqn_3 0.000193 s: turing.TM1.step_aux.equations._eqn_3 0.000270 s: turing.TM2to1.st_var._main.equations._eqn_2 0.000236 s: turing.TM2to1.st_var.equations._eqn_2 0.001218 s: turing.tape.move_left_right 0.004825 s: turing.TM2to1.add_bottom_map 0.002306 s: turing.TM2to1.add_bottom_nth_snd 0.003174 s: list.nth_concat_length 0.000526 s: turing.TM2to1.st_write._main.equations._eqn_3 0.000255 s: turing.TM2to1.st_write.equations._eqn_3 0.001172 s: turing.TM2to1.tr_st_act._main.equations._eqn_3 0.000875 s: turing.TM2to1.tr_st_act.equations._eqn_3 0.000274 s: turing.TM2to1.st_var._main.equations._eqn_3 0.000190 s: turing.TM2to1.st_var.equations._eqn_3 0.000191 s: turing.tape.mk'_head 0.000394 s: list.tail._main.equations._eqn_2 0.000129 s: list.tail.equations._eqn_2 0.002089 s: turing.TM2to1.add_bottom_nth_succ_fst 0.083986 s: turing.TM2to1.tr_respects_aux₂ 0.006023 s: category_theory.limits.is_terminal.of_unique._proof_1 0.005711 s: continuous_linear_map.nonlinear_right_inverse.sizeof 0.003737 s: continuous_linear_map.nonlinear_right_inverse.mk.sizeof_spec 0.001383 s: finset.singleton_inter_of_not_mem 0.000845 s: finset.inter_singleton_of_not_mem 0.002377 s: submonoid.mul_left_mem_add_closure 0.005534 s: local_equiv.trans_target' 0.000357 s: measure_theory.measure_space.pi 0.003341 s: set.pi_univ_Icc 0.011229 s: measure_theory.volume_pi_pi 0.003800 s: real.volume_Icc 0.009667 s: real.volume_Icc_pi 0.009972 s: ennreal.to_real_prod 0.044112 s: real.volume_Icc_pi_to_real 0.023386 s: le_inv_iff_mul_le_one 0.002416 s: free_group.lift.mk 0.008206 s: free_group.lift.range_subset 0.000055 s: pos_num.has_le 0.000040 s: pos_num.has_le.equations._eqn_1 0.000871 s: category_theory.grothendieck_topology.trivial.equations._eqn_1 0.002462 s: inner_product_space.no_confusion_type 0.000861 s: submodule.quotient.has_neg.equations._eqn_1 0.007475 s: pgame.relabelling.trans._main 0.000057 s: pgame.relabelling.trans 0.000826 s: pgame.relabelling_move_right._proof_1 0.000133 s: pgame.of_aux_relabelling 0.000475 s: pgame.relabelling_move_right._proof_2 0.003313 s: pgame.relabelling_move_right 0.002507 s: pgame.relabelling_move_right.equations._eqn_1 0.080446 s: is_precomplete.dcases_on 0.025052 s: linear_equiv.to_Module_iso'_left._proof_1 0.000775 s: summable.map 0.000114 s: unique.no_confusion_type 0.000215 s: unique.no_confusion 0.000206 s: unique.mk.inj 0.001102 s: algebra.prod.algebra._proof_2 0.000501 s: algebra.prod.algebra._proof_3 0.000558 s: algebra.prod.algebra._proof_4 0.007094 s: algebra.prod.algebra._proof_5 0.008783 s: algebra.prod.algebra._proof_6 0.003109 s: algebra.prod.algebra 0.004715 s: algebra.prod.algebra.equations._eqn_1 0.000748 s: alg_equiv.has_coe_to_fun.equations._eqn_1 0.000124 s: _private.531824637.extfun.equations._eqn_1 0.000179 s: int.neg_nonpos_of_nonneg 0.000635 s: int.sub_le_self 0.000427 s: complete_graph._proof_1 0.000208 s: complete_graph._proof_2 0.000168 s: complete_graph 0.000623 s: complete_graph_adj_decidable 0.003621 s: simple_graph.complete_graph_degree 0.001574 s: dfinsupp.add_comm_monoid_of_linear_map 0.003368 s: dfinsupp.semimodule_of_linear_map 0.004115 s: filter.one_mul 0.002254 s: filter.mul_one 0.000758 s: filter.monoid._proof_1 0.000523 s: filter.monoid._proof_2 0.002367 s: filter.monoid 0.002839 s: filter.monoid.equations._eqn_1 0.000491 s: seq.tail._sunfold 0.000212 s: ordnode.find_le._match_1 0.001248 s: ordnode.find_le._main 0.000055 s: ordnode.find_le 0.001112 s: ordnode.find_le._main.equations._eqn_2 0.000333 s: ordnode.find_le.equations._eqn_2 0.002722 s: semilattice_sup_bot.cases_on 0.001668 s: semilattice_sup_bot.no_confusion_type 0.078051 s: is_Hausdorff.haus' 0.066954 s: is_Hausdorff.haus 0.097250 s: is_Hausdorff.infi_pow_smul 0.002194 s: category_theory.action_as_functor_map 0.000291 s: equiv.sigma_congr_left' 0.000485 s: equiv.sigma_congr_left'.equations._eqn_1 0.000299 s: homeomorph.shear_add_right._proof_1 0.000142 s: homeomorph.shear_add_right._proof_2 0.015199 s: homeomorph.shear_add_right._proof_3 0.006731 s: homeomorph.shear_add_right._proof_4 0.001247 s: homeomorph.shear_add_right 0.001121 s: homeomorph.shear_add_right.equations._eqn_1 0.003800 s: category_theory.grothendieck_topology.arrow_stable 0.000326 s: category_theory.grothendieck_topology.close._proof_1 0.000299 s: category_theory.grothendieck_topology.close 0.000279 s: category_theory.grothendieck_topology.close.equations._eqn_1 0.006403 s: category_theory.lax_monoidal_functor.map_Mon_functor._proof_1 0.007293 s: category_theory.lax_monoidal_functor.map_Mon_functor._proof_2 0.044675 s: category_theory.lax_monoidal_functor.map_Mon_functor._proof_3 0.074984 s: category_theory.lax_monoidal_functor.map_Mon_functor._proof_4 0.072953 s: category_theory.lax_monoidal_functor.map_Mon_functor._proof_5 0.047600 s: category_theory.lax_monoidal_functor.map_Mon_functor 0.011079 s: Mon_.equiv_lax_monoidal_functor_punit.lax_monoidal_to_Mon._proof_1 0.002561 s: Mon_.equiv_lax_monoidal_functor_punit.lax_monoidal_to_Mon._proof_2 0.009205 s: Mon_.equiv_lax_monoidal_functor_punit.lax_monoidal_to_Mon 0.000182 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso._proof_1 0.027988 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso._proof_2 0.013905 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso._proof_3 0.033960 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso._proof_4 0.489893 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso._proof_5 0.021249 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso 0.012064 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_1 0.012693 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_2 0.009935 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_3 0.013232 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_4 0.072593 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_5 0.084926 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_6 0.189818 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso._proof_7 0.037942 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso 0.259862 s: Mon_.equiv_lax_monoidal_functor_punit._proof_1 0.000976 s: Mon_.equiv_lax_monoidal_functor_punit 0.000050 s: norm_cast.label.cases_on 0.022070 s: category_theory.nat_iso.hom_app_is_iso.equations._eqn_1 0.002749 s: category_theory.limits.is_limit_of_has_equalizer_of_preserves_limit._proof_1 0.003418 s: category_theory.limits.is_limit_of_has_equalizer_of_preserves_limit 0.000287 s: int.cast._main.equations._eqn_2 0.001377 s: continuous_uncurry_left 0.000251 s: uniform_embedding.drec 0.008714 s: holor.add_group._proof_5 0.000318 s: Group.coe_of 0.001412 s: is_totally_disconnected_of_image 0.000315 s: embedding.is_totally_disconnected 0.000151 s: list.decidable_prefix._main._proof_4 0.000151 s: stream.nth_nats 0.046238 s: complex.lt_def 0.050371 s: complex.real_lt_real 0.061871 s: complex.complex_ordered_comm_ring._proof_3 0.009991 s: open_subgroup.prod._proof_1 0.003336 s: open_subgroup.prod._proof_2 0.002487 s: open_subgroup.prod._proof_3 0.001633 s: open_subgroup.prod._proof_4 0.004570 s: open_subgroup.prod 0.001771 s: nonarchimedean_group.prod.nonarchimedean_group._match_1 0.000706 s: order.ideal.mem_principal 0.000722 s: is_unit.continuous_within_at_const_smul_iff 0.000684 s: is_unit.continuous_on_const_smul_iff 0.000601 s: continuous_on_const_smul_iff 0.000547 s: subset_Icc_cInf_cSup 0.000434 s: is_connected.Icc_subset 0.013433 s: eq_Icc_cInf_cSup_of_connected_bdd_closed 0.018386 s: is_compact.bdd_above 0.002678 s: eq_Icc_of_connected_compact 0.034388 s: real.image_Icc 0.006539 s: library_note._4004064595 0.001265 s: real.sqrt_aux._main 0.012236 s: real.sqrt_aux._main.equations._eqn_2 0.000562 s: semiquot.map_def 0.000630 s: invertible.copy.equations._eqn_1 0.004757 s: category_theory.pi.cone_comp_eval._proof_1 0.010787 s: category_theory.pi.cone_comp_eval 0.008760 s: category_theory.pi.cone_comp_eval.equations._eqn_1 0.000233 s: prod.right_cancel_semigroup._proof_1 0.002383 s: prod.right_cancel_semigroup._proof_2 0.000414 s: prod.right_cancel_semigroup 0.000261 s: prod.right_cancel_monoid._proof_1 0.000193 s: prod.right_cancel_monoid._proof_2 0.000270 s: prod.right_cancel_monoid._proof_3 0.000141 s: prod.right_cancel_monoid._proof_4 0.000443 s: prod.right_cancel_monoid._proof_5 0.000366 s: prod.right_cancel_monoid._proof_6 0.002598 s: prod.right_cancel_monoid 0.002159 s: prod.right_cancel_monoid.equations._eqn_1 0.000271 s: subtype.psudo_metric_space.equations._eqn_1 0.000943 s: equiv.perm.same_cycle.decidable_rel.equations._eqn_1 0.000313 s: equiv.traversable.equations._eqn_1 0.000098 s: coe_trans_aux 0.002821 s: ennreal.top_div_coe 0.000510 s: ennreal.top_div_of_ne_top 0.001556 s: ennreal.top_div 0.001450 s: continuous_linear_map.has_op_norm.equations._eqn_1 0.000141 s: roption.has_fix 0.000207 s: pi.order_bot._proof_1 0.000192 s: pi.order_bot._proof_2 0.000322 s: pi.order_bot._proof_3 0.000374 s: pi.order_bot._proof_4 0.000137 s: pi.order_bot._proof_5 0.001651 s: pi.order_bot 0.007179 s: roption.fix.approx_mono' 0.002506 s: roption.fix.approx_mono 0.000908 s: roption.fix.approx_chain._proof_1 0.001666 s: roption.fix.approx_chain 0.000737 s: roption.mk.inj_eq 0.001937 s: roption.assert_pos 0.000492 s: roption.fix.approx._main.equations._eqn_2 0.000122 s: roption.fix.approx.equations._eqn_2 0.001007 s: roption.assert_neg 0.000166 s: nat.succ_add_eq_succ_add 0.009995 s: roption.fix_def 0.002351 s: roption.fix_def' 0.008773 s: roption.fix.mem_iff 0.002271 s: roption.fix.approx_le_fix 0.004391 s: roption.fix.exists_fix_le_approx 0.002057 s: roption.fix.approx_chain.equations._eqn_1 0.024386 s: roption.fix_eq_ωSup 0.006583 s: roption.fix.le_f_of_mem_approx 0.021580 s: roption.fix_eq 0.005669 s: roption.lawful_fix._proof_1 0.000817 s: roption.lawful_fix 0.000794 s: roption.lawful_fix.equations._eqn_1 0.028200 s: category_theory.over.iterated_slice_equiv._proof_1 0.097568 s: category_theory.over.iterated_slice_equiv._proof_2 0.157198 s: category_theory.over.iterated_slice_equiv._proof_3 0.034052 s: category_theory.over.iterated_slice_equiv._proof_4 0.255787 s: category_theory.over.iterated_slice_equiv._proof_6 0.053020 s: category_theory.over.iterated_slice_equiv 0.007136 s: category_theory.over.iterated_slice_equiv_functor 0.001610 s: units.neg_inv 0.019526 s: mv_polynomial.is_homogeneous.add 0.007819 s: category_theory.limits.fork.ext_inv 0.000113 s: int.odd.add_even 0.005161 s: real.cos_sq_arctan 0.105369 s: real.has_strict_deriv_at_tan 0.255029 s: real.has_strict_deriv_at_arctan 0.097064 s: real.has_deriv_at_arctan 0.270766 s: has_fderiv_within_at.arctan 0.257483 s: differentiable_within_at.arctan 0.111334 s: differentiable_on.arctan 0.000228 s: measure_theory.measure.inhabited.equations._eqn_1 0.012332 s: filter.add_le_add 0.000312 s: omega_complete_partial_order.continuous_hom.flip._proof_1 0.014543 s: omega_complete_partial_order.continuous_hom.flip._proof_2 0.001693 s: omega_complete_partial_order.continuous_hom.flip 0.001576 s: omega_complete_partial_order.continuous_hom.of_fun._proof_1 0.002378 s: omega_complete_partial_order.continuous_hom.of_fun._proof_2 0.000632 s: omega_complete_partial_order.continuous_hom.of_fun 0.000136 s: preorder_hom.const._proof_1 0.000156 s: preorder_hom.const 0.000310 s: preorder_hom.const_to_fun 0.002728 s: omega_complete_partial_order.continuous_hom.const._proof_1 0.000226 s: omega_complete_partial_order.continuous_hom.const 0.006865 s: omega_complete_partial_order.continuous_hom.bind_to_fun 0.000654 s: omega_complete_partial_order.continuous_hom.const_apply 0.009381 s: omega_complete_partial_order.continuous_hom.map._proof_1 0.000581 s: omega_complete_partial_order.continuous_hom.map 0.001868 s: omega_complete_partial_order.continuous_hom.flip.equations._eqn_1 0.009030 s: omega_complete_partial_order.continuous_hom.seq._proof_1 0.078133 s: real.times_cont_diff_on_arcsin 0.000215 s: encodable.fintype.encodable.equations._eqn_1 0.000458 s: category_theory.limits.has_reflexive_coequalizers.dcases_on 0.000626 s: free_semigroup.lift'._main.equations._eqn_2 0.000225 s: free_semigroup.lift'.equations._eqn_2 0.015783 s: finsupp.map_range.add_monoid_hom_apply 0.000423 s: set.preimage_image_preimage 0.000158 s: simple_graph.common_neighbors_eq 0.000087 s: cast_num._sunfold 0.010628 s: polynomial.of_subring._proof_1 0.001247 s: polynomial.of_subring 0.002598 s: polynomial.frange_of_subring 0.009659 s: nnreal.has_inv.equations._eqn_1 0.002734 s: nat.eq_one_of_mul_eq_one_left 0.000093 s: seq_compact_space.cases_on 0.004737 s: nat.factorial_inj 0.000846 s: snum.test_bit._main.equations._eqn_2 0.000968 s: measure_theory.measure.restrict_apply_eq_zero 0.000584 s: add_valuation.is_equiv.equations._eqn_1 0.000094 s: linarith.ineq.max._main 0.000012 s: linarith.ineq.max 0.000054 s: linarith.ineq.max._main.equations._eqn_1 0.000020 s: linarith.ineq.max.equations._eqn_1 0.001461 s: enat.decidable_le._proof_1 0.000354 s: enat.dom_of_le_of_dom 0.000089 s: enat.decidable_le._proof_2 0.000268 s: enat.decidable_le 0.000654 s: nhds_within_le_comap 0.000191 s: DFA.sizeof 0.000286 s: ring_quot.comm_ring._proof_14 0.000376 s: star_ordered_ring.to_star_ring 0.000552 s: star_ordered_ring.star_mul_self_nonneg 0.005243 s: function.injective.semimodule.equations._eqn_1 0.288223 s: concave_on_univ_of_deriv_antimono 0.037695 s: category_theory.cartesian_closed_functor 0.004930 s: category_theory.cartesian_closed_functor.comparison_iso 0.000118 s: with_one.has_one.equations._eqn_1 0.000083 s: has_inf.cases_on 0.000063 s: has_inf.no_confusion_type 0.000187 s: has_inf.no_confusion 0.000493 s: enat.dom_of_le_some 0.000957 s: cfilter.of_equiv._main._proof_1 0.000736 s: cfilter.of_equiv._main._proof_2 0.001908 s: cfilter.of_equiv._main.equations._eqn_1 0.003042 s: list.mfoldr_with_index_eq_mfoldr_enum 0.000488 s: turing.to_partrec.cont.then._main.equations._eqn_5 0.064225 s: free_comm_ring.lift.equations._eqn_1 0.000796 s: rack.act_symm_apply 0.009392 s: subalgebra.one_mem'._default 0.002979 s: intermediate_field.one_mem'._default 0.003379 s: intermediate_field.one_mem'._default.equations._eqn_1 0.000228 s: locally_constant.comm_ring._proof_11 0.000077 s: inhabited.mk.inj_arrow 0.002216 s: set.finite_Union_Prop 0.000469 s: polynomial.coeff_mk 0.000113 s: nat.digits_aux_0._main.equations._eqn_1 0.000030 s: nat.digits_aux_0.equations._eqn_1 0.001108 s: filter.realizer.sup._match_5 0.000322 s: filter.realizer.sup._proof_1 0.007460 s: filter.realizer.sup._match_6 0.001646 s: filter.realizer.sup._match_7 0.000429 s: filter.realizer.sup._proof_2 0.003328 s: filter.realizer.sup._match_8 0.003040 s: filter.realizer.sup._match_9 0.014837 s: filter.realizer.sup._proof_3 0.002791 s: filter.realizer.sup 0.002288 s: filter.realizer.sup.equations._eqn_1 0.000272 s: prod.ordered_cancel_comm_monoid._proof_3 0.006864 s: measure_theory.integrable_finset_sum 0.000382 s: rbnode.balance1._main.equations._eqn_3 0.000339 s: rbnode.balance1.equations._eqn_3 0.003655 s: topological_space.compacts.semilattice_inf_bot.equations._eqn_1 0.002489 s: category_theory.adjunction.core_hom_equiv.sizeof 0.000219 s: category_theory.adjunction.core_hom_equiv.has_sizeof_inst 0.000083 s: semiquot.order_top._proof_1 0.000131 s: semiquot.order_top._proof_2 0.000305 s: semiquot.order_top._proof_3 0.000231 s: semiquot.order_top._proof_4 0.000460 s: semiquot.order_top._proof_5 0.001841 s: semiquot.order_top 0.000185 s: fp.float.sign'._main 0.000468 s: io.run_rand.equations._eqn_1 0.000472 s: tactic.ring2.horner_expr.is_cs._main 0.000013 s: tactic.ring2.horner_expr.is_cs 0.000195 s: tactic.ring2.horner_expr.is_cs._main.equations._eqn_1 0.000071 s: tactic.ring2.horner_expr.is_cs.equations._eqn_1 0.000978 s: multiset.erase_dup_zero 0.003462 s: multiset.fold_erase_dup_idem 0.016969 s: linear_map.trace_aux.equations._eqn_1 0.002954 s: omega.int.is_nnf._main 0.000903 s: omega.int.is_nnf._main.equations._eqn_9 0.003658 s: add_submonoid.localization_map.eq_iff_eq 0.003783 s: dist_le_of_le_geometric_of_tendsto₀ 0.000725 s: equiv.semimodule._proof_1 0.000520 s: equiv.semimodule._proof_2 0.004204 s: equiv.semimodule._proof_4 0.001431 s: equiv.semimodule 0.001478 s: equiv.add_equiv._proof_1 0.000406 s: equiv.add_equiv 0.000396 s: equiv.linear_equiv._proof_1 0.000888 s: equiv.add_equiv_apply 0.003998 s: equiv.linear_equiv._proof_2 0.000233 s: equiv.linear_equiv._proof_3 0.000217 s: equiv.linear_equiv._proof_4 0.002530 s: equiv.linear_equiv 0.002431 s: equiv.linear_equiv.equations._eqn_1 0.001302 s: is_glb.exists_between 0.001242 s: is_glb.exists_between' 0.023211 s: is_glb.exists_between_self_add' 0.000753 s: ae_measurable_const_smul_iff 0.000151 s: ordnode.drop_aux._match_1 0.003207 s: ordnode.drop_aux._main 0.001130 s: affine_map.to_fun_eq_coe 0.083211 s: fderiv_mul 0.010968 s: category_theory.limits.iso_of_is_isomorphic_zero._proof_2 0.000654 s: category_theory.limits.iso_of_is_isomorphic_zero 0.000670 s: category_theory.limits.iso_of_is_isomorphic_zero.equations._eqn_1 0.000193 s: cardinal.canonically_linear_ordered_add_monoid._proof_1 0.000143 s: cardinal.canonically_linear_ordered_add_monoid._proof_2 0.000102 s: cardinal.canonically_linear_ordered_add_monoid._proof_3 0.002258 s: cardinal.canonically_linear_ordered_add_monoid._proof_4 0.001059 s: cardinal.canonically_linear_ordered_add_monoid._proof_5 0.000223 s: cardinal.canonically_linear_ordered_add_monoid._proof_6 0.000104 s: cardinal.canonically_linear_ordered_add_monoid._proof_7 0.000102 s: cardinal.canonically_linear_ordered_add_monoid._proof_8 0.000712 s: cardinal.canonically_linear_ordered_add_monoid._proof_9 0.000271 s: cardinal.canonically_linear_ordered_add_monoid._proof_10 0.000777 s: cardinal.canonically_linear_ordered_add_monoid._proof_11 0.000635 s: cardinal.canonically_linear_ordered_add_monoid._proof_12 0.000279 s: cardinal.canonically_linear_ordered_add_monoid._proof_13 0.002897 s: cardinal.canonically_linear_ordered_add_monoid._proof_14 0.009716 s: cardinal.canonically_linear_ordered_add_monoid 0.008679 s: cardinal.canonically_linear_ordered_add_monoid.equations._eqn_1 0.000394 s: normal_add_subgroup.normal 0.001004 s: is_add_subgroup.mem_norm_comm 0.005053 s: is_preirreducible.image 0.000510 s: order.ideal.prime_pair.I 0.000314 s: order.ideal.is_proper.ne_univ 0.001111 s: order.pfilter.nonempty 0.001943 s: order.ideal.prime_pair.is_compl_I_F 0.026674 s: order.ideal.prime_pair.compl_I_eq_F 0.005148 s: order.ideal.prime_pair.I_is_proper 0.000864 s: order.ideal.is_ideal 0.000760 s: order.pfilter.is_pfilter 0.000906 s: order.ideal.prime_pair.I_is_prime 0.000211 s: int.fdiv._main 0.000014 s: int.fdiv 0.000170 s: int.fdiv._main.equations._eqn_2 0.000038 s: int.fdiv.equations._eqn_2 0.000224 s: submonoid.nontrivial_iff 0.000056 s: submonoid.nontrivial 0.000145 s: submonoid.nontrivial.equations._eqn_1 0.001649 s: category_theory.limits.preserves_terminal.iso.equations._eqn_1 0.002994 s: fin_bounded_random 0.003463 s: bitvec.to_fin_le_to_fin_of_le 0.003560 s: bitvec.random_r 0.000226 s: bounded_random_bitvec 0.000991 s: filter.germ.lift_pred._proof_1 0.000370 s: filter.germ.lift_pred 0.000157 s: plift.subsingleton.equations._eqn_1 0.000815 s: list.enum_from._main.equations._eqn_2 0.000247 s: list.enum_from.equations._eqn_2 0.000049 s: pempty.sizeof 0.000056 s: pempty.has_sizeof_inst 0.001893 s: local_equiv.mk.inj_arrow 0.001648 s: fin.coe_cast_add 0.000146 s: turing.partrec_to_TM2.Λ'.pred.inj_arrow 0.000523 s: omega.nat.preterm.fresh_index._main.equations._eqn_2 0.000057 s: omega.nat.preterm.fresh_index.equations._eqn_2 0.000125 s: relator.left_unique.unique 0.007140 s: list.left_unique_forall₂' 0.000161 s: list.left_unique_forall₂ 0.000090 s: relator.right_unique.unique 0.013461 s: list.right_unique_forall₂' 0.000268 s: list.right_unique_forall₂ 0.000329 s: list.bi_unique_forall₂ 0.013566 s: matrix.unitary_group.coe_matrix 0.007527 s: matrix.unitary_group.coe_matrix.equations._eqn_1 0.002696 s: continuous_linear_map.coe_fst 0.151389 s: tendsto_ceil_right 0.000360 s: 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Module.Mon_Module_equivalence_Algebra._proof_8 0.025288 s: equiv.perm.is_cycle.gpowers_equiv_support.equations._eqn_1 0.004677 s: lie_module_equiv.has_one.equations._eqn_1 0.006082 s: rat.norm_cast_real 0.003749 s: circle_deg1_lift.to_order_iso._proof_1 0.002588 s: circle_deg1_lift.to_order_iso._proof_2 0.005986 s: circle_deg1_lift.to_order_iso 0.036958 s: circle_deg1_lift.map_lt_add_translation_number_add_one 0.007200 s: rel_iso.coe_mul 0.001432 s: rel_iso.apply_inv_self 0.002454 s: order_iso.left_ord_continuous 0.010115 s: function.semiconj_of_is_lub 0.004195 s: function.cSup_div_semiconj 0.207870 s: circle_deg1_lift.semiconj_of_group_action_of_forall_translation_number_eq 0.000171 s: list.find.equations._eqn_1 0.028386 s: equiv.perm.decompose_option._proof_1 0.000515 s: equiv.perm.decompose_option._proof_2 0.000766 s: equiv.perm.decompose_option 0.000983 s: equiv.perm.decompose_option_symm_apply 0.004050 s: equiv.perm.refl_mul 0.001383 s: equiv.perm.one_symm 0.032514 s: map_equiv_option_one 0.002200 s: map_equiv_option_refl 0.001941 s: equiv.perm.sign_refl 0.001738 s: equiv_functor.map_trans' 0.004026 s: equiv_functor.map_equiv_trans 0.001081 s: equiv_functor.option.map_none 0.006366 s: map_equiv_option_swap 0.001478 s: equiv.perm.sign_trans 0.002415 s: equiv.perm.sign_swap' 0.006247 s: equiv_functor.option.sign 0.002828 s: equiv.perm.decompose_option_symm_sign 0.000265 s: tactic.interactive.list.minimum_on._sunfold 0.001878 s: category_theory.biprod.unipotent_lower.equations._eqn_1 0.001677 s: to_add_units.equations._eqn_1 0.000120 s: fin2.sizeof 0.000117 s: fin2.fz.sizeof_spec 0.000927 s: ordnode.disjoint._main.equations._eqn_2 0.000200 s: ordnode.disjoint.equations._eqn_2 0.000270 s: erased.mk.equations._eqn_1 0.001884 s: erased.mk_out 0.000253 s: erased.out_inj 0.000370 s: erased.map.equations._eqn_1 0.000755 s: erased.bind_eq_out 0.000624 s: erased.out_mk 0.000876 s: erased.map_out 0.000690 s: erased.pure_def 0.000332 s: erased.bind_def 0.063949 s: erased.is_lawful_monad 0.073690 s: erased.is_lawful_monad.equations._eqn_1 0.000828 s: equiv.field._proof_2 0.000455 s: equiv.field._proof_4 0.000269 s: equiv.field._proof_5 0.000235 s: equiv.field._proof_6 0.000331 s: equiv.field._proof_7 0.000850 s: equiv.field._proof_8 0.008079 s: equiv.field 0.000235 s: pfunctor.approx.cofix_a.default._sunfold 0.001436 s: regular_expression.matches_star_def 0.003376 s: linear_equiv.of_is_unit_det._proof_2 0.000422 s: rbnode.no_confusion_type 0.000851 s: rbnode.no_confusion 0.000371 s: rbnode.black_node.inj 0.001496 s: rbnode.black_node.inj_eq 0.008092 s: real.abs_rpow_of_nonneg 0.000698 s: real.norm_rpow_of_nonneg 0.045083 s: order_iso.ess_sup_apply 0.003559 s: nnreal.of_real_rpow_of_nonneg 0.001850 s: ennreal.of_real_rpow_of_pos 0.001922 s: ennreal.of_real_rpow_of_nonneg 0.098576 s: measure_theory.snorm'_norm_rpow 0.124471 s: measure_theory.snorm_norm_rpow 0.000407 s: set.ord_connected_singleton 0.013436 s: filter.tendsto_Icc_pure_pure 0.001121 s: finset.decidable_mem'.equations._eqn_1 0.009429 s: local_equiv.to_equiv._match_2 0.003264 s: local_equiv.to_equiv._match_2.equations._eqn_1 0.000422 s: functor.comp.seq._sunfold 0.001123 s: category_theory.iso.conj_apply 0.003803 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_7 0.003891 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_8 0.000188 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_9 0.000424 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_10 0.016534 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_11 0.014505 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_12 0.005384 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_13 0.017686 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_14 0.024576 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_15 0.000298 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_16 0.002635 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_17 0.006302 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_18 0.000228 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_19 0.000217 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_20 0.000468 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_21 0.028109 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_22 0.031422 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_23 0.018972 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_24 0.029118 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_25 0.031000 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_26 0.000387 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_27 0.003268 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_28 0.007213 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_29 0.099473 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product._proof_31 0.082751 s: category_theory.limits.preserves_limit_of_preserves_equalizers_and_product 0.000185 s: category_theory.limits.preserves_finite_limits_of_preserves_equalizers_and_finite_products._proof_1 0.008475 s: category_theory.limits.preserves_finite_limits_of_preserves_equalizers_and_finite_products 0.003299 s: monoid_hom.cod_restrict._proof_1 0.000986 s: equiv_functor_unique._proof_1 0.002308 s: equiv_functor_unique 0.000149 s: list.mmap'_diag 0.001156 s: list.mmap'_diag._main.equations._eqn_1 0.000260 s: list.mmap'_diag.equations._eqn_1 0.002602 s: finset.map_map 0.001487 s: function.embedding.equiv_symm_to_embedding_trans_to_embedding 0.000682 s: equiv.finset_congr._proof_2 0.001026 s: times_cont_diff_on.add 0.000697 s: times_cont_diff_on.neg 0.001432 s: times_cont_diff_on.sub 0.000421 s: times_cont_diff_on_const 0.083615 s: real.times_cont_diff_on_arccos 0.000158 s: has_dist.rec_on 0.000143 s: function.injective_iff_has_left_inverse 0.014278 s: semidirect_product.inl_injective 0.003168 s: semidirect_product.inl_inj 0.002600 s: is_conj_iff' 0.002511 s: exists_subset_Union_ball_radius_pos_lt 0.002163 s: pi.smul_comm_class'' 0.002434 s: pi.smul_comm_class''.equations._eqn_1 0.004910 s: set.compl_Ici 0.000193 s: prod.fst_injective 0.002283 s: smooth_map_ring._proof_1 0.002446 s: ulift.comm_group._proof_1 0.002314 s: ulift.comm_group._proof_2 0.001706 s: ulift.comm_group._proof_3 0.006004 s: ulift.comm_group._proof_4 0.018988 s: ulift.comm_group._proof_6 0.039398 s: ulift.comm_group._proof_7 0.010363 s: ulift.comm_group 0.003208 s: ulift.comm_group.equations._eqn_1 0.000136 s: monad_io.iterate 0.000043 s: io.iterate 0.000333 s: io.forever 0.000622 s: pSet.sep._main.equations._eqn_1 0.002625 s: category_theory.iso.AddMon_iso_to_add_equiv 0.001373 s: category_theory.iso.AddMon_iso_to_add_equiv.equations._eqn_1 0.007284 s: derivation.Rsmul_apply 0.003001 s: derivation.map_smul 0.153049 s: derivation.lie_algebra._proof_7 0.026671 s: pequiv.single_trans_of_mem 0.000523 s: pequiv.mem_single 0.000620 s: pequiv.single_trans_single 0.005769 s: pequiv.single_mul_single 0.002760 s: pequiv.single_mul_single_right 0.000485 s: nat.mul_self_sub_mul_self_eq 0.002950 s: nat.pow_two_sub_pow_two 0.001515 s: add_monoid_hom.coe_range 0.001508 s: add_monoid_hom.range_top_iff_surjective 0.000956 s: stream.approx._main.equations._eqn_2 0.000572 s: tactic_doc._2160947841 0.032071 s: filter.generate_union 0.007193 s: sesq_form_of_inner_sesq 0.001823 s: function.injective.linear_ordered_add_comm_monoid._proof_1 0.000435 s: category_theory.with_initial.lift._match_1.equations._eqn_2 0.000365 s: ring.dimension_le_one.equations._eqn_1 0.002980 s: is_lawful_monad.map_pure._default 0.002024 s: is_lawful_monad.map_pure._default.equations._eqn_1 0.008264 s: category_theory.under.iso_mk_inv_right 0.000242 s: list.infix_append 0.002115 s: finsupp.supported.equations._eqn_1 0.001605 s: sub_mul_action.has_neg._proof_1 0.000826 s: sub_mul_action.has_neg 0.001420 s: sub_mul_action.has_neg.equations._eqn_1 0.000053 s: tactic.dunfold_config.cases_on 0.000042 s: tactic.dunfold_config.no_confusion_type 0.000567 s: tactic.dunfold_config.no_confusion 0.000153 s: tactic.dunfold_config.mk.inj 0.000068 s: tactic.dunfold_config.mk.inj_arrow 0.001260 s: dfinsupp.subtype_domain._proof_1 0.003792 s: dfinsupp.subtype_domain._proof_2 0.010516 s: dfinsupp.subtype_domain._proof_3 0.006720 s: dfinsupp.subtype_domain 0.002453 s: dfinsupp.subtype_domain_apply 0.008023 s: dfinsupp.subtype_domain_sub 0.001800 s: category_theory.has_forget₂.sizeof 0.001884 s: category_theory.has_forget₂.mk.sizeof_spec 0.001152 s: open_add_subgroup.ext 0.001261 s: finsupp.sum_finsupp_add_equiv_prod_finsupp.equations._eqn_1 0.006710 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_7 0.000811 s: continuous_linear_map.mul_def 0.015586 s: continuous_linear_map.smul_right_comp 0.041406 s: continuous_linear_map.smul_right_one_pow 0.016713 s: has_strict_fderiv_at.iterate 0.046847 s: has_strict_deriv_at.iterate 0.000155 s: fintype.compact_space 0.000360 s: Profinite.inhabited._proof_1 0.011783 s: t2_space_discrete 0.000084 s: pempty.discrete_topology 0.000254 s: Profinite.inhabited._proof_2 0.000140 s: totally_separated_space.is_totally_separated_univ 0.000134 s: totally_separated_space.totally_disconnected_space 0.003777 s: totally_separated_space.of_discrete 0.000320 s: Profinite.inhabited._proof_3 0.000143 s: Profinite.inhabited 0.000122 s: Profinite.inhabited.equations._eqn_1 0.000205 s: pnat.xgcd_type.mk.sizeof_spec 0.000941 s: unique.ext 0.007675 s: category_theory.adjunction.cases_on 0.000180 s: simple_graph.compl._match_2 0.000087 s: simple_graph.compl._proof_2 0.000209 s: simple_graph.compl 0.000073 s: simple_graph.has_compl 0.000302 s: simple_graph.compl_adj_decidable 0.000404 s: CommSemiRing.forget₂_SemiRing_preserves_limits._proof_1 0.000604 s: CommSemiRing.forget₂_SemiRing_preserves_limits 0.000416 s: CommSemiRing.forget₂_SemiRing_preserves_limits.equations._eqn_1 0.001503 s: finset.sigma_image_fst_preimage_mk 0.000928 s: roption.equiv_option._proof_2 0.000176 s: roption.equiv_option 0.000688 s: filter.germ.ordered_comm_group._proof_6 0.087949 s: real.cos_three_mul 0.409338 s: real.cos_pi_div_three 0.000197 s: finset.colex.has_le.equations._eqn_1 0.010434 s: category_theory.monad.algebra.cases_on 0.000420 s: sum.elim_inl_inr 0.000651 s: mvqpf.cofix.inhabited 0.000241 s: nonempty_quotient_iff 0.002951 s: path_connected_space_iff_zeroth_homotopy 0.000082 s: add_monoid.End.equations._eqn_1 0.086595 s: model_with_corners.has_mfderiv_within_at 0.066774 s: model_with_corners.mdifferentiable_within_at 0.007546 s: model_with_corners.mdifferentiable_on 0.000333 s: is_well_order.drec 0.002262 s: set.Ici.semilattice_inf_top._proof_8 0.001586 s: category_theory.functor.const.obj_obj 0.000422 s: nat.card 0.095462 s: enorm.finite_subspace.normed_space 0.098217 s: enorm.finite_subspace.normed_space.equations._eqn_1 0.000434 s: lower_bounds_Ioi 0.143162 s: one_le_inv_iff 0.025642 s: category_theory.strong_epi_of_strong_epi 0.000410 s: measurable.carg 0.000135 s: has_compl.cases_on 0.000160 s: has_compl.no_confusion_type 0.000349 s: has_compl.no_confusion 0.000486 s: wseq.filter_map._match_1 0.000101 s: wseq.filter_map 0.000210 s: wseq.find_indexes._match_1 0.001283 s: wseq.zip_with._match_1 0.000240 s: wseq.zip_with._match_2 0.000144 s: wseq.zip_with 0.000067 s: wseq.zip 0.000080 s: wseq.of_stream 0.000036 s: wseq.coe_stream 0.000221 s: wseq.find_indexes 0.248363 s: nhds_Inf 0.000264 s: set.union_is_comm.equations._eqn_1 0.006860 s: left_ord_continuous.map_sup 0.004369 s: left_ord_continuous.le_iff 0.016968 s: right_ord_continuous.le_iff 0.000237 s: right_ord_continuous.to_order_embedding._proof_1 0.000637 s: right_ord_continuous.to_order_embedding 0.002639 s: right_ord_continuous.coe_to_order_embedding 0.000140 s: pseudo_metric_space.edist._default.equations._eqn_1 0.002829 s: category_theory.mono_over.image_mono_over_arrow 0.002425 s: category_theory.iso.hom_congr_refl 0.003483 s: finsupp.semilattice_inf.equations._eqn_1 0.002608 s: subfield.gsmul_mem 0.002032 s: intermediate_field.gsmul_mem 0.008608 s: intermediate_field.coe_int_mem 0.003174 s: intermediate_field.adjoin_nat 0.013987 s: mvqpf.cofix.bisim' 0.000388 s: option.pmap._main 0.001001 s: set.preimage_diff 0.002018 s: category_theory.is_iso.inv_inv 0.000087 s: is_Gδ_univ 0.000110 s: tactic.rewrite_search.dir_pair.to_string 0.000115 s: tactic.rewrite_search.dir_pair.to_string.equations._eqn_1 0.000833 s: metric.eventually_nhds_iff 0.000102 s: reader_t.no_confusion_type 0.035861 s: pi_tensor_product.reindex_tprod 0.032263 s: pi_tensor_product.reindex_comp_tprod 0.054104 s: pi_tensor_product.reindex_refl 0.207206 s: is_local_min_on.fderiv_within_eq_zero 0.019371 s: filter.tendsto_Icc_at_bot_at_bot 0.000378 s: filter.tendsto_Ioo_at_bot_at_bot 0.010982 s: homeomorph.sum_congr._proof_2 0.000937 s: list.tprod.mk._main.equations._eqn_1 0.001695 s: affine.simplex.cases_on 0.000074 s: tactic.rewrite_search.using_conv.splice_result.cases_on 0.000097 s: tactic.rewrite_search.using_conv.splice_result.no_confusion_type 0.000316 s: tactic.rewrite_search.using_conv.splice_result.no_confusion 0.002280 s: category_theory.subobject.functor_map 0.000298 s: mk_rbtree 0.000223 s: mk_rbmap 0.000144 s: list.to_rbmap 0.000375 s: gaussian_int.to_complex_eq_zero 0.046678 s: gaussian_int.norm_eq_zero 0.014346 s: gaussian_int.norm_pos 0.004922 s: matrix.star_ring.equations._eqn_1 0.002331 s: category_theory.limits.strong_epi_mono_factorisation.cases_on 0.000467 s: category_theory.limits.strong_epi_mono_factorisation.no_confusion_type 0.000178 s: set.Inter_const 0.000542 s: set.inter_Inter 0.002629 s: set.diff_Union 0.001993 s: omega_limit_eq_bInter_inter 0.002070 s: omega_limit_eq_Inter_inter 0.010495 s: eventually_closure_subset_of_is_compact_absorbing_of_is_open_of_omega_limit_subset' 0.001688 s: eventually_closure_subset_of_is_compact_absorbing_of_is_open_of_omega_limit_subset 0.000237 s: equiv.sigma_equiv_prod_of_equiv 0.000234 s: card_finset_fin_le 0.000124 s: fin.last_val 0.265719 s: euclidean_geometry.cospherical_iff_exists_mem_of_finite_dimensional 0.315646 s: euclidean_geometry.exists_circumcenter_eq_of_cospherical_subset 0.245661 s: euclidean_geometry.exists_circumcenter_eq_of_cospherical 0.022919 s: category_theory.limits.reflects_colimit_of_nat_iso.equations._eqn_1 0.000147 s: has_coe_to_sort.cases_on 0.000346 s: has_coe_to_sort.no_confusion_type 0.000295 s: rat.commute_cast 0.287718 s: basic_smooth_bundle_core.to_smooth_manifold.equations._eqn_1 0.000287 s: ordinal.deriv 0.000223 s: ordinal.deriv_zero 0.011886 s: zsqrtd.to_real_apply 0.008820 s: continuous_map.norm_coe_le_norm 0.004862 s: iterated_deriv_within_zero 0.003136 s: deriv_within_congr 0.003820 s: iterated_deriv_within_eq_iterate 0.002778 s: iterated_deriv_eq_iterate 0.006123 s: times_cont_mdiff_on_pi_space 0.000027 s: vm_obj_kind.closure.inj 0.000023 s: vm_obj_kind.closure.inj_arrow 0.000244 s: real.one_lt_rpow_of_pos_of_lt_one_of_neg 0.006934 s: nnreal.one_lt_rpow_of_pos_of_lt_one_of_neg 0.009724 s: ennreal.one_lt_rpow_of_pos_of_lt_one_of_neg 0.001011 s: category_theory.iso_constant.equations._eqn_1 0.000693 s: continuous_map.equiv_fn_of_discrete._proof_2 0.001001 s: add_monoid_hom.coprod.equations._eqn_1 0.000160 s: group.normal_closure.is_subgroup 0.001044 s: cau_seq.is_complete.cases_on 0.000314 s: cau_seq.is_complete.no_confusion_type 0.000697 s: with_bot.decidable_le._main._proof_4 0.000115 s: fin2.below 0.000575 s: cardinal.zero_to_nat 0.008651 s: cardinal.zero_lt_one 0.005485 s: cardinal.to_enat._proof_1 0.002995 s: cardinal.to_enat 0.003565 s: cardinal.to_enat_apply_of_lt_omega 0.000566 s: cardinal.to_enat_cast 0.000221 s: add_submonoid.to_nat_submodule._proof_1 0.000348 s: add_submonoid.to_nat_submodule._proof_2 0.003752 s: add_submonoid.to_nat_submodule._match_1 0.001560 s: add_submonoid.to_nat_submodule._proof_4 0.004332 s: add_submonoid.to_nat_submodule._match_2 0.001898 s: add_submonoid.to_nat_submodule._proof_5 0.004741 s: add_submonoid.to_nat_submodule._proof_6 0.005251 s: add_submonoid.to_nat_submodule 0.004529 s: submodule.span_nat_eq_add_submonoid_closure 0.000667 s: submodule.span_nat_eq 0.000048 s: string.has_decidable_eq._match_1._proof_2 0.005458 s: continuous_map_semiring.equations._eqn_1 0.074881 s: Module.Mon_Module_equivalence_Algebra._proof_7 0.002487 s: category_theory.Groupoid.forget_to_Cat_faithful 0.009336 s: symm_trans_mem_times_cont_diff_groupoid 0.001639 s: continuous.if 0.001747 s: continuous.piecewise 0.000177 s: function.has_uncurry_base 0.000213 s: function.has_uncurry_base.equations._eqn_1 0.015227 s: adjunction.adjoint_op_of_adjoint_unop.equations._eqn_1 0.002921 s: function.injective.linear_ordered_field._proof_14 0.006764 s: times_cont_mdiff_on.continuous_on_tangent_map_within 0.000172 s: parser.unfailing.and_then 0.000251 s: parser.unfailing.and_then.equations._eqn_1 0.000207 s: circle_deg1_lift.translation_number.equations._eqn_1 0.006295 s: submodule.nat_power_direct_sum_gcomm_monoid._proof_2 0.000061 s: one_hom.has_one._proof_1 0.000217 s: one_hom.has_one 0.000219 s: one_hom.has_one.equations._eqn_1 0.006152 s: linear_ordered_comm_group_with_zero.sizeof 0.014578 s: linear_ordered_comm_group_with_zero.mk.sizeof_spec 0.000103 s: rack.pre_envel_group.has_sizeof_inst 0.003694 s: distrib_mul_action.mk.inj 0.000378 s: free_semigroup.traverse 0.000531 s: alg_equiv.to_linear_map 0.001570 s: mvqpf.sigma.repr._main 0.001671 s: mvqpf.sigma.repr._main.equations._eqn_1 0.000907 s: set.preimage_add_left_zero 0.000045 s: scope_trace 0.000141 s: scope_trace.equations._eqn_1 0.028077 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.mk.inj_eq 0.011050 s: zmod.unit_of_coprime._proof_1 0.003063 s: zmod.unit_of_coprime 0.002137 s: zmod.unit_of_coprime.equations._eqn_1 0.000110 s: quaternion_algebra.inhabited 0.000125 s: quaternion_algebra.inhabited.equations._eqn_1 0.001872 s: parser.step.mmap 0.001291 s: parser.step.mmap.equations._eqn_1 0.001130 s: add_con.mk'_surjective 0.005351 s: category_theory.limits.is_terminal.of_unique._proof_2 0.000892 s: lipschitz_with.mul 0.000146 s: list.decidable_chain._proof_2 0.055460 s: AddCommGroup.as_hom 0.014538 s: AddCommGroup.as_hom_apply 0.011168 s: pi.conditionally_complete_lattice._match_1.equations._eqn_1 0.017875 s: category_theory.comma.map_left_comp._proof_1 0.079851 s: category_theory.comma.map_left_comp._proof_2 0.031218 s: category_theory.comma.map_left_comp._proof_3 0.077672 s: category_theory.comma.map_left_comp._proof_4 0.323632 s: category_theory.comma.map_left_comp._proof_5 0.379128 s: category_theory.comma.map_left_comp._proof_6 0.079538 s: category_theory.comma.map_left_comp 0.032238 s: category_theory.comma.map_left_comp_inv_app_left 0.004306 s: submodule.to_add_subgroup_strict_mono 0.000513 s: submodule.to_add_subgroup_mono 0.002384 s: principal_seg.cod_restrict_apply 0.001674 s: galois_coinsertion.mk.inj 0.001066 s: galois_coinsertion.mk.inj_arrow 0.066394 s: has_fderiv_at.snd 0.074111 s: fderiv.snd 0.008640 s: ordinal.div_self 0.000082 s: smt_pre_config.cases_on 0.005997 s: category_theory.limits.is_colimit.sizeof 0.000205 s: category_theory.limits.is_colimit.has_sizeof_inst 0.002378 s: category_theory.regular_epi.sizeof 0.000122 s: category_theory.regular_epi.has_sizeof_inst 0.016769 s: quaternion.has_inner.equations._eqn_1 0.000295 s: equiv.set_value 0.000187 s: filter.germ.lattice._proof_1 0.000199 s: filter.germ.lattice._proof_2 0.001885 s: filter.germ.lattice._proof_3 0.000538 s: filter.germ.lattice._proof_4 0.000763 s: filter.germ.lattice._proof_6 0.000541 s: filter.germ.lattice._proof_7 0.000504 s: filter.germ.lattice._proof_9 0.000530 s: filter.germ.lattice._proof_10 0.012121 s: filter.germ.lattice 0.000844 s: filter.germ.bounded_lattice._proof_9 0.006445 s: category_theory.functor.map_cocone_precompose_hom_hom 0.000169 s: ulower 0.000128 s: ulower.equiv 0.000252 s: ulower.down 0.000230 s: ulower.down_eq_down 0.000271 s: pfunctor.W.head._main.equations._eqn_1 0.000121 s: pfunctor.W.head.equations._eqn_1 0.000119 s: if_eq_of_eq_true 0.000231 s: encodable.sum.equations._eqn_1 0.000465 s: category_theory.limits.reflects_colimits_of_shape.cases_on 0.001240 s: category_theory.limits.reflects_colimit.cases_on 0.001965 s: category_theory.limits.reflects_colimit_subsingleton 0.001266 s: category_theory.limits.reflects_colimits_of_shape_subsingleton 0.000994 s: fixed_points.prev_fixed 0.000788 s: fixed_points.prev_fixed.equations._eqn_1 0.012109 s: category_theory.ulift.equivalence_unit_iso_hom 0.000028 s: znum.zero.inj 0.000037 s: znum.zero.inj_eq 0.001507 s: list.exists_cons_of_ne_nil 0.000616 s: mul_action.no_confusion_type 0.002932 s: category_theory.limits.binary_bicone.inr_fst' 0.008846 s: eventually_le.countable_Inter 0.002613 s: eventually_le.countable_bInter 0.011260 s: polynomial.monomial_neg 0.000774 s: category_theory.equivalence.refl_functor 0.004161 s: category_theory.equiv_yoneda'_hom 0.000089 s: d_array.foldl 0.000654 s: setoid.map_of_surjective._match_1.equations._eqn_1 0.000126 s: turing.fin_tm2.cfg.equations._eqn_1 0.607794 s: metric.uniformity_basis_dist_inv_nat_succ 0.001001 s: metric.nhds_basis_ball_inv_nat_succ 0.040093 s: metric.mem_closure_range_iff_nat 0.001428 s: Module.colimits.prequotient.smul.sizeof_spec 0.000042 s: ordered_add_comm_group.lt._default 0.000028 s: ordered_ring.lt._default 0.000031 s: linear_ordered_ring.lt._default 0.015852 s: valuation.integer._proof_1 0.022769 s: valuation.integer._proof_2 0.001665 s: valuation.integer._proof_3 0.017864 s: valuation.integer._proof_4 0.002628 s: valuation.integer._proof_5 0.029917 s: valuation.integer 0.036101 s: valuation.integer.equations._eqn_1 0.004583 s: nat.lt_add_of_sub_lt_right 0.002187 s: turing.TM1to1.writes._main.equations._eqn_6 0.000504 s: turing.TM1to1.writes.equations._eqn_6 0.008502 s: category_theory.fully_faithful_cancel_right.equations._eqn_1 0.000895 s: category_theory.is_subterminal_of_mono_terminal_from 0.000183 s: linarith.linexp.zfind._match_1.equations._eqn_1 0.038126 s: has_fderiv_within_at_snd 0.079136 s: fderiv_within_snd 0.081297 s: measure_theory.snorm'_const' 0.001337 s: category_theory.limits.has_zero_object_punit._aux_2 0.009549 s: category_theory.abelian.epi_of_zero_cokernel 0.013097 s: category_theory.abelian.epi_of_cokernel_π_eq_zero 0.000879 s: category_theory.limits.cokernel.π_of_epi 0.000989 s: category_theory.limits.kernel.ι_zero_is_iso 0.008308 s: category_theory.abelian.tfae_epi 0.002002 s: category_theory.abelian.epi_iff_exact_zero_right 0.007494 s: category_theory.over.iso_mk_inv_left 0.000233 s: Mon.colimits.prequotient.has_sizeof_inst 0.000164 s: pnat.mod_div_aux._main.equations._eqn_1 0.000060 s: pnat.mod_div_aux.equations._eqn_1 0.003007 s: ctop.realizer.nhds._proof_2 0.003194 s: free_add_semigroup.rec_on.equations._eqn_1 0.006803 s: category_theory.equivalence.no_confusion_type 0.007693 s: category_theory.equivalence.no_confusion 0.016535 s: category_theory.equivalence.mk'.inj 0.016830 s: category_theory.equivalence.mk'.inj_arrow 0.000264 s: field_of_integral_domain._proof_19 0.010572 s: function.surjective.comm_group._proof_1 0.000070 s: category_theory.limits.walking_parallel_pair.one.inj 0.001432 s: _private.3864469991.repr._main.equations._eqn_1 0.000241 s: nat.primrec'.vec.equations._eqn_1 0.024442 s: filter.comap_top 0.053383 s: ring.fractional_ideal.submodule.has_coe.equations._eqn_1 0.000158 s: is_left_regular.equations._eqn_1 0.001133 s: function.injective.iterate 0.007786 s: is_left_regular.pow 0.002584 s: is_left_regular.pow_iff 0.000211 s: is_right_regular.equations._eqn_1 0.002483 s: is_right_regular.pow 0.001054 s: is_right_regular.pow_iff 0.000517 s: is_regular.pow_iff 0.008989 s: cardinal.le_mul_left 0.013612 s: cardinal.mul_lt_omega_iff 0.041018 s: cardinal.mul_eq_left_iff 0.016223 s: linear_map.dom_restrict'._proof_1 0.009857 s: linear_map.dom_restrict'._proof_2 0.006539 s: linear_map.dom_restrict'._proof_3 0.009479 s: linear_map.dom_restrict'._proof_4 0.006463 s: linear_map.dom_restrict'._proof_5 0.025098 s: linear_map.dom_restrict'._proof_6 0.012202 s: linear_map.dom_restrict' 0.386157 s: submodule.dual_restrict 0.062310 s: submodule.dual_restrict_apply 0.231649 s: subspace.dual_restrict_comp_dual_lift 0.276678 s: subspace.dual_restrict_left_inverse 0.209722 s: subspace.dual_lift_injective 0.204857 s: subspace.dual_equiv_dual._proof_1 0.233106 s: subspace.dual_equiv_dual 0.202183 s: subspace.dual_equiv_dual_def 0.000461 s: function.injective.linear_ordered_add_comm_monoid._proof_5 0.020640 s: function.injective.linear_ordered_add_comm_monoid._proof_6 0.002305 s: function.injective.linear_ordered_add_comm_monoid._proof_7 0.003166 s: function.injective.linear_ordered_add_comm_monoid._proof_8 0.005474 s: function.injective.linear_ordered_add_comm_monoid._proof_10 0.002323 s: function.injective.linear_ordered_add_comm_monoid._proof_11 0.004381 s: function.injective.linear_ordered_add_comm_monoid._proof_12 0.004451 s: function.injective.linear_ordered_add_comm_monoid._proof_13 0.016556 s: function.injective.linear_ordered_add_comm_monoid 0.000125 s: function.periodic_pts 0.000156 s: function.is_fixed_pt.decidable 0.000162 s: function.is_periodic_pt.decidable 0.000565 s: function.minimal_period 0.000478 s: function.minimal_period.equations._eqn_1 0.000213 s: function.mk_mem_periodic_pts 0.002452 s: function.is_periodic_pt.minimal_period_le 0.005134 s: function.is_periodic_pt.eq_zero_of_lt_minimal_period 0.184581 s: times_cont_diff_bump.sizeof 0.117411 s: times_cont_diff_bump.has_sizeof_inst 0.177530 s: smooth_bump_function.sizeof 0.203961 s: smooth_bump_function.mk.sizeof_spec 0.020592 s: prod.has_continuous_mul 0.005953 s: prod.has_continuous_mul.equations._eqn_1 0.002803 s: witt_vector.is_poly₂.drec 0.000531 s: int.fdiv._main.equations._eqn_5 0.000788 s: has_measurable_add₂.to_has_measurable_add 0.000400 s: has_measurable_add₂.to_has_measurable_add.equations._eqn_1 0.011432 s: category_theory.monoidal.Mon_functor_category_equivalence.counit_iso_hom_app_app_hom 0.000071 s: game.has_neg.equations._eqn_1 0.000360 s: lazy_list.append._main.equations._eqn_1 0.000115 s: lazy_list.append.equations._eqn_1 0.000412 s: lazy_list.bind._main.equations._eqn_1 0.000111 s: lazy_list.bind.equations._eqn_1 0.000605 s: lazy_list.append._main.equations._eqn_2 0.000177 s: lazy_list.append.equations._eqn_2 0.001545 s: lazy_list.bind._main.equations._eqn_2 0.000284 s: lazy_list.bind.equations._eqn_2 0.002604 s: lazy_list.append_assoc 0.001959 s: lazy_list.append_bind 0.002354 s: turing.TM2.supports_stmt._main.equations._eqn_3 0.000061 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.node.inj_arrow 0.001009 s: _nest_2_1.tactic.rewrite_search._nest_1_1.tactic.rewrite_search.using_conv.app_addr.dir_pair.rec 0.000081 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.unpack 0.000014 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.unpack_0_0 0.000062 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.pack.tactic.rewrite_search.dir_pair.mk.spec 0.000096 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.unpack._nest_2_1.tactic.rewrite_search.dir_pair._nest_1_1.tactic.rewrite_search.using_conv.app_addr.mk.spec 0.000250 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.unpack_pack 0.000160 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.unpack_pack_0_0 0.000400 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.pack_0_0.inj 0.000153 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.node.inj 0.000050 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.node.inj_arrow 0.000032 s: tactic.rewrite_search.using_conv.app_addr.unpack_0_0 0.000060 s: tactic.rewrite_search.using_conv.app_addr.nested.unpack_0_0_0._nest_1_1.tactic.rewrite_search.dir_pair.tactic.rewrite_search.using_conv.app_addr.mk.spec 0.000098 s: tactic.rewrite_search.using_conv.app_addr.primitive.unpack._nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.none.spec 0.000087 s: tactic.rewrite_search.using_conv.app_addr.primitive.unpack._nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.some.spec 0.000322 s: tactic.rewrite_search.using_conv.app_addr.primitive.unpack_pack 0.000622 s: tactic.rewrite_search.using_conv.app_addr.nested.unpack_pack_0_0_0 0.000173 s: tactic.rewrite_search.using_conv.app_addr.unpack_pack_0_0 0.000319 s: tactic.rewrite_search.using_conv.app_addr.pack_0_0.inj 0.000096 s: tactic.rewrite_search.using_conv.app_addr.node.inj 0.000049 s: omega.int.neg_free 0.000057 s: omega.int.preform.sat 0.000264 s: omega.int.canonize._main.equations._eqn_1 0.000045 s: omega.int.canonize.equations._eqn_1 0.000174 s: omega.int.canonize._main.equations._eqn_2 0.000058 s: omega.int.canonize.equations._eqn_2 0.000561 s: omega.int.canonize._main.equations._eqn_3 0.000092 s: omega.int.canonize.equations._eqn_3 0.008170 s: omega.int.val_canonize 0.001941 s: omega.int.dnf_core._main.equations._eqn_5 0.000096 s: omega.int.dnf_core.equations._eqn_5 0.014354 s: omega.int.exists_clause_holds 0.000576 s: omega.int.clauses_sat_dnf_core 0.000501 s: mvqpf.cofix.corec₁ 0.000679 s: mvqpf.cofix.corec₁.equations._eqn_1 0.000514 s: add_monoid_hom.coe_fn._proof_1 0.002191 s: add_monoid_hom.coe_fn 0.003006 s: add_monoid_hom.coe_fn_apply 0.000292 s: category_theory.limits.walking_span.quiver.hom.subsingleton 0.000237 s: category_theory.limits.walking_span.quiver.hom.subsingleton.equations._eqn_1 0.002387 s: lie_hom.is_ideal_morphism.equations._eqn_1 0.012478 s: add_subgroup.to_subgroup._proof_4 0.017676 s: polynomial.coeff_derivative 0.004437 s: polynomial.of_mem_support_derivative 0.000227 s: swap_right._sunfold 0.000538 s: omega.nat.preterm.sub_free._main.equations._eqn_3 0.000951 s: nat.of_digits._main.equations._eqn_1 0.000166 s: nat.of_digits.equations._eqn_1 0.025623 s: nat.of_digits_append 0.001757 s: nat.of_digits_digits_append_digits 0.007961 s: continuous_linear_equiv.of_isometry._proof_1 0.011525 s: linear_map.norm_apply_of_isometry 0.020398 s: continuous_linear_equiv.of_isometry._proof_2 0.015506 s: continuous_linear_equiv.of_isometry 0.015231 s: continuous_linear_equiv.of_isometry.equations._eqn_1 0.000252 s: set.sUnion.equations._eqn_1 0.005247 s: perfection.coeff_mk 0.002088 s: submodule.map_subtype.order_embedding 0.001825 s: submodule.map_subtype.order_embedding.equations._eqn_1 0.001236 s: normed_space.cases_on 0.000460 s: preorder_hom.const.equations._eqn_1 0.000164 s: znum.cmp._main.equations._eqn_7 0.000062 s: znum.cmp.equations._eqn_7 0.000624 s: filter.is_countable_basis 0.000545 s: local_homeomorph.no_confusion_type 0.057751 s: free_ring.induction_on 0.014731 s: category_theory.nat_iso.trans_app 0.004334 s: submonoid.localization_map.of_mul_equiv_of_localizations_apply 0.000135 s: is_linear_order.rec_on 0.024441 s: set_of.algebra._proof_2 0.000208 s: parser.nat._match_1.equations._eqn_1 0.000185 s: semiquot.has_le.equations._eqn_1 0.019862 s: invertible_three._proof_1 0.003945 s: add_localization.mk_zero_eq_add_monoid_of_mk 0.014975 s: add_localization.mk_eq_add_monoid_of_mk'_apply 0.017795 s: function.injective.comm_ring.equations._eqn_1 0.001015 s: category_theory.op_id_unop 0.004187 s: measurable_limsup' 0.001328 s: _private.847195145.denumerable_aux._match_2.equations._eqn_1 0.000180 s: pfunctor.obj.inhabited 0.000290 s: add_units.eq_iff 0.000182 s: add_units.ext_iff 0.000241 s: add_units.decidable_eq 0.000278 s: add_units.decidable_eq.equations._eqn_1 0.000481 s: continuous_map_ring._proof_2 0.000969 s: category_theory.limits.kernel.ι_of_mono 0.000078 s: cont_t.equations._eqn_1 0.000313 s: pSet.insert._main.equations._eqn_1 0.000135 s: pSet.insert.equations._eqn_1 0.000492 s: add_hom.to_fun_eq_coe 0.000223 s: set.nmem_set_of_eq 0.003361 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.sizeof 0.002232 s: exterior_algebra.rel.dcases_on 0.000186 s: znum.zneg._main.equations._eqn_2 0.000047 s: znum.zneg.equations._eqn_2 0.000689 s: equiv.psum_equiv_sum._proof_1 0.000446 s: equiv.psum_equiv_sum._proof_2 0.000430 s: equiv.psum_equiv_sum 0.000449 s: equiv.psum_equiv_sum.equations._eqn_1 0.000540 s: filter.germ.ordered_cancel_add_comm_monoid._proof_5 0.001049 s: set.preimage_neg_Ioc 0.002826 s: bounded_distrib_lattice.sizeof 0.006692 s: bounded_distrib_lattice.mk.sizeof_spec 0.002395 s: category_theory.adjunction.functoriality_right_adjoint.equations._eqn_1 0.013295 s: filter.lift'_powerset_ne_bot 0.012707 s: filter.lift'_powerset_ne_bot.equations._eqn_1 0.000343 s: fin_enum.pi.tail._main.equations._eqn_1 0.000385 s: fin_enum.pi.tail.equations._eqn_1 0.000740 s: category_theory.triangulated.triangle.rotate_obj₁ 0.000525 s: category_theory.limits.has_coreflexive_equalizers.rec_on 0.000358 s: ring_quot.sizeof 0.000152 s: ring_quot.has_sizeof_inst 0.000944 s: free_semigroup.map_of 0.004447 s: finset.card_powerset 0.000457 s: ordnode.balanced._main.equations._eqn_1 0.000148 s: ordnode.balanced.equations._eqn_1 0.000074 s: ordnode.balanced.dec._main._proof_1 0.000238 s: category_theory.monad.simps.coe 0.000234 s: category_theory.monad.simps.coe.equations._eqn_1 0.000433 s: list.decidable_mem._match_1._proof_2 0.000032 s: tactic.itauto.proof.has_sizeof_inst 0.000363 s: tactic.itauto.proof.or_elim.sizeof_spec 0.000320 s: free_group.sum 0.003100 s: free_group.sum.map_one 0.000620 s: inv_mul_eq_of_eq_mul 0.000508 s: nat.decidable_prime_1.equations._eqn_1 0.000790 s: add_monoid.coe_mul 0.001103 s: rbnode.rev_fold._main.equations._eqn_3 0.012510 s: preorder_hom.complete_lattice._proof_1 0.010274 s: preorder_hom.complete_lattice._proof_2 0.011451 s: preorder_hom.complete_lattice._proof_3 0.014059 s: preorder_hom.complete_lattice._proof_5 0.009274 s: preorder_hom.complete_lattice._proof_6 0.011213 s: preorder_hom.complete_lattice._proof_7 0.009059 s: preorder_hom.complete_lattice._proof_8 0.008540 s: preorder_hom.complete_lattice._proof_9 0.010282 s: preorder_hom.complete_lattice._proof_10 0.008948 s: preorder_hom.complete_lattice._proof_11 0.000223 s: preorder_hom.has_bot._proof_1 0.000284 s: preorder_hom.has_bot 0.000253 s: preorder_hom.order_bot._proof_2 0.000621 s: preorder_hom.order_bot._proof_3 0.000596 s: preorder_hom.order_bot._proof_4 0.002751 s: preorder_hom.order_bot 0.009037 s: preorder_hom.complete_lattice._proof_12 0.001087 s: preorder_hom.complete_lattice._proof_13 0.025585 s: preorder_hom.complete_lattice._proof_14 0.002470 s: preorder_hom.complete_lattice._proof_15 0.016868 s: preorder_hom.complete_lattice._proof_16 0.039959 s: preorder_hom.complete_lattice 0.011621 s: Sup_pair 0.021933 s: complete_lattice.sup_continuous 0.020816 s: mv_polynomial.map_equiv_trans 0.005352 s: associates.count_some 0.005710 s: associates.factors_le 0.006447 s: associates.prime_pow_dvd_iff_le 0.011398 s: associates.le_of_count_ne_zero 0.014020 s: associates.count_of_coprime 0.011299 s: associates.count_mul 0.011414 s: associates.dvd_count_of_dvd_count_mul 0.000098 s: dense.closure 0.001677 s: eq_one_iff_eq_one_of_mul_eq_one 0.054262 s: category_theory.comma.map_left_comp.equations._eqn_1 0.000790 s: set.singleton_vsub 0.000166 s: quiver.wide_subquiver.has_top 0.000118 s: quiver.wide_subquiver.inhabited 0.000296 s: quiver.wide_subquiver.inhabited.equations._eqn_1 0.011409 s: category_theory.limits.pullback_cone.mk_snd 0.028547 s: category_theory.limits.has_kernel_comp_mono 0.011438 s: category_theory.limits.kernel_comp_mono._proof_3 0.001781 s: semidirect_product.decidable_eq 0.000229 s: tree.get._sunfold 0.002838 s: topological_vector_bundle.mem_source_trivialization_at 0.000265 s: urysohns.CU.sizeof 0.000837 s: urysohns.CU.mk.sizeof_spec 0.004108 s: category_theory.limits.pullback_cone.mk_π_app_one 0.416343 s: quaternion.norm_sq_le_zero 0.000224 s: filter.germ.nontrivial.equations._eqn_1 0.046637 s: lie_algebra.of_associative_algebra.equations._eqn_1 0.003099 s: units.neg_eq_neg_one_mul 0.000129 s: tactic.rewrite_search.side 0.000073 s: tactic.rewrite_search.side.rec_on 0.000610 s: int.commute_cast 0.003316 s: semiconj_by.cast_int_mul_right 0.014081 s: affine_map.module._proof_1 0.031777 s: affine_map.module._proof_2 0.046259 s: affine_map.module._proof_3 0.064674 s: affine_map.module._proof_5 0.059266 s: affine_map.module._proof_6 0.081965 s: affine_map.module._proof_7 0.089697 s: affine_map.module._proof_8 0.086597 s: affine_map.module 0.010224 s: affine_map.homothety 0.017934 s: affine_map.homothety_eq_line_map 0.003650 s: affine_map.homothety_def 0.003037 s: affine_map.vadd_apply 0.004204 s: affine_map.coe_smul 0.002136 s: affine_map.vsub_apply 0.001137 s: affine_map.coe_id 0.000828 s: dist_vadd_left 0.000589 s: dist_vadd_right 0.091892 s: dist_center_homothety 0.101693 s: dist_left_midpoint 0.012038 s: dist_midpoint_left 0.003205 s: turing.TM1to1.tr_normal._sunfold 0.001298 s: function.surjective.nontrivial 0.000901 s: Kuratowski_embedding.equations._eqn_1 0.002092 s: omega_complete_partial_order.continuous_hom.comp_id 0.000105 s: znum.has_le.equations._eqn_1 0.008988 s: has_strict_fderiv_at.implicit_function_of_complemented.equations._eqn_1 0.001772 s: composition.sigma_equiv_sigma_pi._proof_1 0.005751 s: linear_ordered_comm_monoid_with_zero.cases_on 0.003621 s: linear_ordered_comm_monoid_with_zero.no_confusion_type 0.006360 s: linear_ordered_comm_monoid_with_zero.no_confusion 0.016016 s: linear_ordered_comm_monoid_with_zero.mk.inj 0.000850 s: category_theory.component.ι_obj 0.013862 s: cardinal.zero_lt_bit1 0.002049 s: has_fderiv_within_at.const_add 0.000997 s: differentiable_within_at.const_add 0.001171 s: differentiable_within_at_const_add_iff 0.001421 s: differentiable_within_at_const_sub_iff 0.000767 s: has_deriv_within_at.congr_of_eventually_eq 0.097420 s: has_deriv_within_at.sin 0.208773 s: real.differentiable_within_at_arcsin_Ici 0.103442 s: real.differentiable_within_at_arccos_Ici 0.000352 s: ring_hom.to_rat_alg_hom._proof_4 0.011029 s: measure_theory.outer_measure.no_confusion_type 0.002141 s: measure_theory.outer_measure.no_confusion 0.003517 s: measure_theory.outer_measure.mk.inj 0.000233 s: densely_ordered.cases_on 0.006035 s: asymptotics.is_equivalent_const_iff_tendsto 0.002208 s: asymptotics.is_equivalent.tendsto_const 0.002947 s: nat.fst_mem_divisors_of_mem_antidiagonal 0.000238 s: slim_check.total_function.apply._sunfold 0.001090 s: category_theory.pretopology.of_grothendieck._proof_1 0.000325 s: is_lawful_singleton.cases_on 0.001010 s: measure_theory.measure.finite_at_filter.exists_mem_basis 0.000961 s: measure_theory.measure.exists_is_open_measure_lt_top 0.001213 s: linear_map.to_pmap 0.003481 s: linear_map.to_pmap_apply 0.002756 s: algebraic_geometry.PresheafedSpace.restrict.equations._eqn_1 0.000285 s: category_theory.limits.complete_lattice.limit_iso_infi._proof_2 0.000272 s: category_theory.limits.complete_lattice.limit_iso_infi._proof_3 0.002498 s: category_theory.limits.complete_lattice.limit_iso_infi 0.001617 s: category_theory.limits.complete_lattice.limit_iso_infi_inv 0.037848 s: hyperreal.abs_lt_real_iff_infinitesimal 0.010514 s: typevec.prod_id 0.001635 s: topological_space.opens.gi_choice_val 0.000300 s: ultrafilter.extend.equations._eqn_1 0.000026 s: pnat.xgcd_type.b 0.000295 s: pnat.xgcd_type.is_reduced' 0.000463 s: nat.succ_pnat_inj 0.000301 s: pnat.xgcd_type.is_reduced_iff 0.001205 s: local_equiv.is_image_source_target 0.010760 s: local_equiv.is_image_source_target_of_disjoint 0.001984 s: local_equiv.disjoint_union._proof_2 0.000642 s: matrix.has_sub.equations._eqn_1 0.000931 s: derive_fintype.finset_above.cons.equations._eqn_1 0.000860 s: padic_int.is_absolute_value._match_3.equations._eqn_1 0.000185 s: psum.alt.sizeof._main 0.000044 s: psum.alt.sizeof 0.003229 s: has_smooth_mul.drec_on 0.000048 s: Semigroup.inhabited 0.014453 s: category_theory.monoidal_inverse._proof_2 0.003181 s: category_theory.monoidal_inverse 0.002756 s: category_theory.monoidal_inverse_to_functor 0.000406 s: UniformSpace.uniform_continuous.category_theory.unbundled_hom.equations._eqn_1 0.000401 s: writer_t.rec_on 0.000192 s: cc_config.sizeof 0.000083 s: cc_config.has_sizeof_inst 0.000577 s: turing.partrec_to_TM2.cont'.cons₂.inj 0.000822 s: continuous_within_at.const_smul 0.000214 s: fun_info 0.000030 s: fun_info.result_deps 0.000517 s: filter.tendsto_Ioc_Iic_Iic 0.011707 s: measure_theory.simple_func.lattice.equations._eqn_1 0.000288 s: inv_eq_iff_mul_eq_one 0.000269 s: with_zero.semiring._proof_9 0.003059 s: one_div_ne_zero 0.000404 s: eq_zero_of_one_div_eq_zero 0.000794 s: category_theory.limits.cone.op_X 0.007463 s: continuous_map_add_comm_group.equations._eqn_1 0.000395 s: list.any_nil 0.000784 s: quotient.rec 0.000967 s: multiplicative.linear_ordered_comm_group._proof_6 0.000116 s: int.sign._main.equations._eqn_1 0.131316 s: matrix_equiv_tensor.equations._eqn_1 0.062779 s: category_theory.coyoneda.iso_comp_punit._proof_3 0.009359 s: category_theory.regular_mono.mono.equations._eqn_1 0.000638 s: finset.one_le_prod' 0.001616 s: finset.prod_le_prod_of_subset_of_one_le' 0.000522 s: finset.prod_le_univ_prod_of_one_le' 0.024222 s: local_homeomorph.symm_piecewise 0.000782 s: Module.colimits.cocone_fun 0.008518 s: Module.colimits.cocone_morphism._proof_1 0.002116 s: Module.colimits.cocone_morphism._proof_2 0.005135 s: Module.colimits.cocone_morphism 0.003769 s: Module.colimits.cocone_naturality 0.003900 s: Module.colimits.colimit_cocone._proof_1 0.001758 s: Module.colimits.colimit_cocone 0.002872 s: measure_theory.lintegral_prod 0.001801 s: measure_theory.lintegral_prod_symm' 0.000577 s: measure_theory.lintegral_prod_symm 0.007027 s: category_theory.limits.is_colimit.cocone_points_iso_of_equivalence_inv 0.000791 s: mul_action.no_confusion 0.000801 s: mul_action.mk.inj 0.000629 s: mul_action.mk.inj_arrow 0.000168 s: list.maximum.equations._eqn_1 0.005105 s: list.argmax_concat 0.008653 s: list.maximum_concat 0.015242 s: list.minimum_concat 0.082033 s: differentiable_within_at.ccos 0.044372 s: differentiable_on.ccos 0.004005 s: has_variable_names.cases_on 0.001977 s: has_variable_names.no_confusion_type 0.002558 s: has_variable_names.no_confusion 0.000142 s: state_t.failure 0.012669 s: skew_adjoint_matrices_submodule.equations._eqn_1 0.000077 s: computability.encoding_nat_bool._proof_1 0.000081 s: computability.encoding_nat_bool 0.000053 s: computability.encoding_nat_bool.equations._eqn_1 0.002241 s: smooth_map_comm_ring._proof_3 0.040840 s: topological_add_group.of_nhds_aux 0.010511 s: add_monoid_hom.distrib_mul_action._proof_2 0.002200 s: category_theory.Groupoid.forget_to_Cat_faithful.equations._eqn_1 0.012920 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso_hom_app_hom 0.005628 s: subtype.add_group.equations._eqn_1 0.000271 s: surreal.le.equations._eqn_1 0.003365 s: principal_seg.init_iff 0.000331 s: denumerable.lower'._main 0.000017 s: denumerable.lower' 0.000227 s: denumerable.lower'._main.equations._eqn_1 0.000029 s: denumerable.lower'.equations._eqn_1 0.003072 s: mdifferentiable.comp 0.000096 s: ordnode.find_max'._sunfold 0.002049 s: lie_hom.range_restrict._proof_1 0.002031 s: lie_hom.range_restrict._proof_2 0.011899 s: lie_hom.range_restrict._proof_3 0.068262 s: lie_hom.range_restrict 0.000405 s: list.sublists_len_aux._sunfold 0.000629 s: ordnode.find_ge._main.equations._eqn_1 0.000213 s: ordnode.find_ge.equations._eqn_1 0.001177 s: category_theory.limits.im._proof_1 0.000549 s: category_theory.limits.im._proof_3 0.012515 s: category_theory.limits.image_map_id._proof_1 0.001620 s: category_theory.limits.image_map_id 0.004471 s: category_theory.limits.image_map.cases_on 0.004606 s: category_theory.limits.image_map.ext 0.004307 s: category_theory.limits.image_map.subsingleton 0.004176 s: category_theory.limits.image.map_id 0.004216 s: category_theory.limits.im._proof_4 0.005847 s: category_theory.limits.image_map.map_ι_assoc 0.012509 s: category_theory.limits.image_map_comp._proof_1 0.002935 s: category_theory.limits.image_map_comp 0.004473 s: category_theory.limits.image.map_comp 0.007972 s: category_theory.limits.im._proof_5 0.002699 s: category_theory.limits.im 0.001236 s: category_theory.limits.im_obj 0.005704 s: canonically_linear_ordered_monoid.le_total 0.003124 s: canonically_linear_ordered_monoid.decidable_lt 0.000425 s: canonically_linear_ordered_monoid.to_linear_order 0.000438 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_8 0.000190 s: option.maybe._main 0.000368 s: option.maybe._main.equations._eqn_2 0.000210 s: znum_coe.equations._eqn_1 0.000141 s: encodable.cases_on 0.000118 s: encodable.no_confusion_type 0.000413 s: encodable.no_confusion 0.000583 s: category_theory.adjunction.right_adjoint_of_nat_iso 0.000593 s: category_theory.adjunction.right_adjoint_of_nat_iso.equations._eqn_1 0.025389 s: affine_map.homothety_affine._proof_1 0.024962 s: affine_map.homothety_affine._proof_2 0.013187 s: affine_map.homothety_add 0.046038 s: affine_map.homothety_affine._proof_3 0.036383 s: affine_map.homothety_affine 0.000164 s: parser.char_buf.equations._eqn_1 0.000154 s: buffer.to_string.equations._eqn_1 0.003629 s: buffer.to_list_to_array 0.000140 s: string.as_string_inv_to_list 0.004495 s: parser.str_eq_char_buf 0.000203 s: parser.decorate_error_eq_done 0.000491 s: buffer.length_to_list 0.000572 s: list.mmap'._main.equations._eqn_1 0.000140 s: list.mmap'.equations._eqn_1 0.000501 s: list.nil_prefix 0.000241 s: parser.ch.equations._eqn_1 0.000048 s: parser.eps.equations._eqn_1 0.000820 s: parser.eps_eq_done 0.005140 s: parser.ch_eq_done 0.004451 s: buffer.nth_le_to_list' 0.000588 s: buffer.nth_le_to_list 0.013596 s: list.cons_nth_le_drop_succ 0.001839 s: list.cons_prefix_iff 0.014530 s: parser.char_buf_eq_done 0.005887 s: parser.step.char_buf_iff 0.000155 s: list.to_list_inv_as_string 0.000269 s: list.length_as_string 0.000195 s: string.length_to_list 0.000661 s: parser.step.str_iff 0.006848 s: Module.Mon_Module_equivalence_Algebra_forget._proof_2 0.003048 s: cardinal.to_nat.equations._eqn_1 0.006848 s: ordinal.add_monoid._match_1.equations._eqn_1 0.000269 s: add_valuation.to_preorder 0.000252 s: add_valuation.to_preorder.equations._eqn_1 0.001327 s: add_submonoid.dense_induction 0.002146 s: add_monoid_hom.of_mdense._proof_1 0.000647 s: add_monoid_hom.of_mdense 0.000764 s: add_monoid_hom.of_mdense.equations._eqn_1 0.000176 s: nat.even.decidable_pred.equations._eqn_1 0.000408 s: gaussian_int.complex.has_coe.equations._eqn_1 0.002553 s: lie_hom.range_coe_submodule 0.002833 s: lie_hom.range_eq_top 0.000039 s: linarith.comp.str 0.000119 s: linarith.comp.scale 0.000064 s: linarith.comp.scale.equations._eqn_1 0.000251 s: prod.bitraverse._sunfold 0.000719 s: vector3.append 0.001277 s: fin2.left._main 0.000033 s: fin2.left 0.000515 s: fin2.left._main.equations._eqn_1 0.000235 s: fin2.left.equations._eqn_1 0.002092 s: vector3.append_cons 0.000616 s: fin2.left._main.equations._eqn_2 0.000296 s: fin2.left.equations._eqn_2 0.003470 s: vector3.append_left 0.000248 s: can_lift.sizeof 0.000908 s: can_lift.mk.sizeof_spec 0.030037 s: category_theory.symmetric_of_chosen_finite_products.equations._eqn_1 0.000358 s: rat.decidable_nonneg.equations._eqn_1 0.001162 s: ulift.comm_semigroup._proof_1 0.000056 s: znum.div.equations._eqn_4 0.000058 s: znum.pred.equations._eqn_1 0.005411 s: category_theory.subobject.map_pullback_adj 0.002763 s: category_theory.subobject.map_pullback_adj.equations._eqn_1 0.009266 s: submonoid.localization_map.mul_equiv_of_mul_equiv_eq_map_apply 0.000566 s: list.permutations_aux.equations._eqn_1 0.005704 s: list.permutations_aux.rec._main._pack.equations._eqn_1 0.000439 s: list.permutations_aux.rec._main.equations._eqn_1 0.000319 s: list.permutations_aux.rec.equations._eqn_1 0.001198 s: list.permutations_aux_nil 0.005064 s: list.permutations_aux.rec._main._pack.equations._eqn_2 0.000451 s: list.permutations_aux.rec._main.equations._eqn_2 0.000243 s: list.permutations_aux.rec.equations._eqn_2 0.001020 s: list.permutations_aux_cons 0.014041 s: list.length_foldr_permutations_aux2' 0.014221 s: list.mem_permutations_aux2 0.003452 s: list.mem_permutations_aux2' 0.004773 s: list.mem_foldr_permutations_aux2 0.003580 s: list.perm_of_mem_permutations_aux 0.000374 s: list.perm_of_mem_permutations 0.011378 s: list.length_permutations_aux 0.018678 s: measure_theory.outer_measure.comap_of_function 0.002690 s: function.semiconj.maps_to_image 0.000440 s: qpf.fix.mk 0.011111 s: ideal.radical_le_jacobson 0.000501 s: gold_ne_zero 0.000551 s: ordnode.update_with._match_1.equations._eqn_2 0.002570 s: is_subfield.Inter.equations._eqn_1 0.000292 s: additive.linear_ordered_add_comm_monoid_with_top._proof_2 0.002600 s: category_theory.limits.kernel.lift_zero 0.000081 s: category_theory.limits.wide_pullback_shape.hom.id.inj 0.000209 s: is_irreducible.equations._eqn_1 0.000100 s: slim_check.convert_counter_example 0.000180 s: slim_check.add_to_counter_example._main 0.000043 s: slim_check.add_to_counter_example 0.000667 s: slim_check.dec_guard_testable._match_1 0.000051 s: slim_check.slim_check_cfg.trace_discarded 0.000369 s: slim_check.dec_guard_testable._match_2 0.000415 s: slim_check.dec_guard_testable 0.019651 s: lt_neg_add_of_add_lt 0.000165 s: gaussian_int.mod.equations._eqn_1 0.006628 s: turing.TM2to1.stmt_st_rec._main 0.001183 s: turing.TM2to1.stmt_st_rec 0.002089 s: turing.TM2to1.stmt_st_rec._main.equations._eqn_6 0.001517 s: turing.TM2to1.stmt_st_rec.equations._eqn_6 0.000665 s: is_extr_filter.comp_mono 0.000689 s: is_extr_filter_dual_iff 0.000142 s: is_extr_filter.dual 0.000536 s: is_extr_filter.comp_antimono 0.000325 s: is_extr_on.comp_antimono 0.000249 s: encodable.rec_on 0.000402 s: relator.bi_total 0.000175 s: relator.bi_total.drec_on 0.002249 s: category_theory.mono_over.mk'.equations._eqn_1 0.835864 s: ideal.integral_closure.comap_ne_bot 0.000405 s: has_continuous_smul.rec_on 0.000264 s: int.neg_add_lt_of_lt_add 0.013318 s: sym2.sym2_equiv_sym'._proof_2 0.009125 s: linear_isometry.map_zero 0.003750 s: fin.mk_bit0 0.000462 s: opposite.equiv_to_opposite_symm_apply 0.002512 s: cancel_comm_monoid.cases_on 0.006296 s: is_simple_lattice.bounded_distrib_lattice.equations._eqn_1 0.007546 s: euclidean_domain.integral_domain.equations._eqn_1 0.001656 s: monoid_with_zero.rec_on 0.000803 s: dist_le_tsum_dist_of_tendsto 0.005314 s: dist_le_tsum_dist_of_tendsto₀ 0.000024 s: quiver.symmetrify 0.000180 s: quiver.symmetrify_quiver 0.000866 s: quiver.wide_subquiver_symmetrify 0.000397 s: quiver.wide_subquiver_symmetrify.equations._eqn_1 0.002023 s: generalized_continued_fraction.part_num_none_iff_s_none 0.010942 s: category_theory.non_preadditive_abelian.preadditive.equations._eqn_1 0.000895 s: prod.ordered_cancel_add_comm_monoid._proof_5 0.000205 s: tactic.ring2.horner_expr.pow._main.equations._eqn_1 0.001300 s: traversable.map_fold._proof_2 0.000597 s: traversable.map_fold 0.001898 s: traversable.fold_map_hom 0.000468 s: Profinite_to_Top_obj 0.011425 s: Meas.Giry._match_2.equations._eqn_1 0.000461 s: pos_num.add._main.equations._eqn_8 0.000100 s: pos_num.add.equations._eqn_8 0.000123 s: pos_num.pred'.equations._eqn_3 0.286021 s: bernoulli'_three 0.017130 s: list.many._main 0.000717 s: list.many._main.equations._eqn_1 0.000170 s: prod.bitraverse 0.000083 s: prod.bitraversable 0.000477 s: prod.bitraverse.equations._eqn_1 0.006914 s: prod.is_lawful_bitraversable._proof_3 0.000280 s: filter.coprod.equations._eqn_1 0.005313 s: filter.mem_coprod_iff 0.004165 s: filter.map_prod_map_coprod_le 0.000620 s: equiv.mul_right.equations._eqn_1 0.000147 s: list.zip_left 0.001188 s: ordnode.filter._main 0.000085 s: ordnode.filter 0.000351 s: ordnode.filter._main.equations._eqn_1 0.000103 s: ordnode.filter.equations._eqn_1 0.008612 s: add_con.add_con_gen_of_add_con 0.000321 s: add_con.add_con_gen_mono 0.005030 s: add_con.gi._proof_1 0.000466 s: add_con.gi._proof_2 0.000339 s: add_con.gi._proof_3 0.000789 s: add_con.gi 0.000722 s: add_con.gi.equations._eqn_1 0.000960 s: category_theory.is_split_coequalizer.as_cofork_X 0.021326 s: pow_le_max_of_min_le 0.000154 s: bounded_continuous_function.mk_of_discrete._proof_1 0.000864 s: turing.to_partrec.step_normal._main.equations._eqn_7 0.000049 s: turing.to_partrec.step_normal.equations._eqn_7 0.013839 s: category_theory.subobject.underlying_arrow_assoc 0.000092 s: fp.float_cfg.prec_pos 0.000058 s: fp.emax.equations._eqn_1 0.000112 s: fp.emin.equations._eqn_1 0.000065 s: fp.float_cfg.prec_max 0.181957 s: fp.float.zero.valid 0.000074 s: fp.float.zero 0.000048 s: fp.float.inhabited 0.000064 s: fp.float.inhabited.equations._eqn_1 0.000647 s: is_simple_group 0.000166 s: is_simple_group.rec_on 0.000150 s: algebraic_geometry.SheafedSpace.restrict._proof_16 0.027831 s: add_right_cancel_monoid.mk.sizeof_spec 0.002002 s: set.Iio_union_Ici 0.000868 s: nhds_left'_sup_nhds_right 0.000286 s: nat.one_lt_bit1 0.039564 s: measure_theory.measure.add_le_add_right 0.027946 s: cau_seq.completion.Cauchy.comm_ring.equations._eqn_1 0.000775 s: filter.germ.mk'_eq_coe 0.007807 s: category_theory.arrow.id_left 0.000264 s: filter.eventually_eq.eventually_eq_nhds 0.005784 s: galois_coinsertion.of_dual.equations._eqn_1 0.000159 s: onote.sub._sunfold 0.000705 s: order_dual.to_dual_lt_to_dual 0.001431 s: pequiv.mem_trans 0.002952 s: pequiv.trans_eq_none 0.008403 s: category_theory.arrow.square_to_iso_invert 0.004072 s: linarith.int.coe_nat_bit1_mul 0.001082 s: matrix.special_linear_group.has_one.equations._eqn_1 0.000080 s: expr_lens.dir.to_string._main 0.000013 s: expr_lens.dir.to_string 0.000144 s: expr_lens.dir.to_string._main.equations._eqn_2 0.000034 s: expr_lens.dir.to_string.equations._eqn_2 0.000333 s: equiv.comm_ring._proof_3 0.001806 s: category_theory.presieve.is_sheaf_for.unique_extend 0.006331 s: category_theory.presieve.is_sheaf_for_iso 0.000928 s: category_theory.presieve.is_sheaf_iso 0.000115 s: free_ring.comm_ring._proof_10 0.000592 s: category_theory.projective.π.equations._eqn_1 0.053570 s: mv_polynomial.is_symmetric.neg 0.000345 s: uniform_space.separation_quotient.separated_space 0.000275 s: uniform_space.separation_quotient.map 0.000293 s: uniform_space.separation_quotient.map.equations._eqn_1 0.008280 s: uniform_space.separation_quotient.map_mk 0.002930 s: uniform_space.separation_quotient.map_unique 0.000250 s: uniform_space.separation_quotient.map_id 0.006422 s: fderiv_measurable_aux.le_of_mem_A 0.000308 s: add_submonoid.unique._proof_1 0.000236 s: add_submonoid.unique 0.000348 s: add_submonoid.unique.equations._eqn_1 0.002891 s: category_theory.whiskering_right_obj_obj 0.000217 s: equiv.pempty_prod.equations._eqn_1 0.000647 s: preorder_hom.id_to_fun 0.221340 s: simplex_category.δ_comp_σ_self 0.000372 s: fin_add_flip.equations._eqn_1 0.000359 s: locally_constant.comm_ring._proof_14 0.000020 s: num.lxor 0.000182 s: num.lxor._main.equations._eqn_3 0.000032 s: num.lxor.equations._eqn_3 0.026618 s: fin2.insert_perm._main.equations._eqn_4 0.000531 s: pi.single_injective 0.079611 s: affine.simplex.points_with_circumcenter._main.equations._eqn_2 0.086260 s: affine.simplex.points_with_circumcenter.equations._eqn_2 0.000744 s: real.normed_group.equations._eqn_1 0.000495 s: stream.append_stream._main.equations._eqn_2 0.000134 s: stream.append_stream.equations._eqn_2 0.000175 s: category_theory.prod_coprod_distrib._proof_12 0.000074 s: snum.no_confusion_type 0.000229 s: snum.no_confusion 0.000079 s: snum.zero.inj 0.012276 s: category_theory.limits.split_mono_coprod_inr._proof_1 0.000634 s: category_theory.limits.split_mono_coprod_inr 0.004083 s: category_theory.limits.split_mono_coprod_inr.equations._eqn_1 0.000732 s: primrec.option_map₁ 0.002993 s: linear_equiv.of_is_unit_det._proof_1 0.035592 s: linear_equiv.of_is_unit_det._proof_3 0.028116 s: linear_equiv.of_is_unit_det 0.028569 s: linear_equiv.of_is_unit_det.equations._eqn_1 0.000251 s: omega.int.preform.not.inj 0.014142 s: nsmul_lt_nsmul 0.013452 s: power_series.order_le 0.005482 s: power_series.coeff_of_lt_order 0.012308 s: power_series.order_zero 0.010001 s: power_series.order_eq_top 0.143844 s: power_series.order_eq_nat 0.037925 s: power_series.order_eq 0.001147 s: power_series.coeff_monomial_same 0.009684 s: power_series.order_monomial 0.002837 s: power_series.order_monomial_of_ne_zero 0.001496 s: power_series.order_X 0.001251 s: int.eq_zero_of_dvd_of_nat_abs_lt_nat_abs 0.003909 s: int.eq_of_mod_eq_of_nat_abs_sub_lt_nat_abs 0.001770 s: div_left_injective 0.003789 s: category_theory.under.map 0.009547 s: category_theory.under.map_id._proof_1 0.048408 s: category_theory.under.map_id._proof_2 0.012049 s: category_theory.under.map_id 0.002161 s: semilattice_inf_top.cases_on 0.001347 s: semilattice_inf_top.no_confusion_type 0.001697 s: semilattice_inf_top.no_confusion 0.004875 s: semilattice_inf_top.mk.inj 0.003281 s: semilattice_inf_top.mk.inj_arrow 0.010338 s: category_theory.limits.image_map.factor_map 0.000092 s: nat.bodd_div2._sunfold 0.000053 s: turing.inhabited_tm2_outputs_in_time._proof_2 0.000930 s: arity.const._main 0.000030 s: arity.const 0.000111 s: pSet.inhabited 0.002856 s: pSet.arity.equiv_const 0.000064 s: pSet.resp.inhabited._proof_1 0.000246 s: metric_space.cases_on 0.000168 s: metric_space.no_confusion_type 0.000270 s: metric_space.no_confusion 0.000411 s: metric_space.mk.inj 0.000504 s: AddCommGroup.forget₂_AddGroup_preserves_limits._proof_1 0.000013 s: punit.complete_boolean_algebra._proof_16 0.001061 s: intermediate_field.map._proof_1 0.000928 s: intermediate_field.map._proof_2 0.000694 s: intermediate_field.map._proof_3 0.000972 s: intermediate_field.map._proof_4 0.001729 s: intermediate_field.map._proof_5 0.004867 s: intermediate_field.map._proof_6 0.004145 s: intermediate_field.map 0.098050 s: intermediate_field.val 0.008489 s: intermediate_field.lift1 0.004797 s: intermediate_field.lift1.equations._eqn_1 0.003289 s: function.surjective.mul_action_with_zero._proof_1 0.000218 s: io.put_str_ln 0.003757 s: slim_check.testable.check._match_2 0.000800 s: slim_check.testable.check._match_2.equations._eqn_1 0.000815 s: discrete_valuation_ring.associated_of_irreducible 0.001204 s: category_theory.limits.parallel_pair._match_2.equations._eqn_2 0.004865 s: continuous_linear_map.prod_equiv_apply 0.012867 s: category_theory.comma.map_right_comp_inv_app_right 0.012069 s: ordnode.raised_iff 0.008088 s: category_theory.coalgebra_equiv_over_counit_iso 0.000941 s: submodule.zero_eq_bot 0.001360 s: add_subgroup.list_sum_mem 0.001795 s: list.forall_mem_union 0.000371 s: list.forall_mem_of_forall_mem_union_right 0.000119 s: category_theory.subobject.complete_semilattice_Sup._proof_1 0.000323 s: category_theory.subobject.complete_semilattice_Sup._proof_4 0.000118 s: category_theory.subobject.Sup._proof_2 0.002821 s: category_theory.subobject.Sup._proof_3 0.002616 s: category_theory.subobject.Sup._proof_4 0.004688 s: category_theory.subobject.Sup 0.000104 s: category_theory.subobject.complete_semilattice_Sup._proof_5 0.002423 s: category_theory.subobject.arrow_congr 0.018968 s: category_theory.subobject.le_Sup 0.001730 s: category_theory.subobject.complete_semilattice_Sup._proof_6 0.005979 s: category_theory.subobject.symm_apply_mem_iff_mem_image 0.054496 s: category_theory.subobject.Sup_le 0.000474 s: category_theory.subobject.complete_semilattice_Sup._proof_7 0.008405 s: category_theory.subobject.complete_semilattice_Sup 0.002931 s: category_theory.subobject.complete_semilattice_Sup.equations._eqn_1 0.055914 s: euclidean_domain.lcm_zero_left 0.000386 s: fin_enum.of_nodup_list._proof_1 0.018541 s: setoid.eqv_gen_eq 0.003907 s: subgroup.mem_closure_singleton 0.003596 s: category_theory.monad.algebra.hom.inhabited._proof_1 0.000383 s: category_theory.monad.algebra.hom.inhabited 0.000337 s: nonneg_of_neg_nonpos 0.001351 s: fin.succ_pos 0.000049 s: tactic.ring.normalize_mode.sizeof 0.000030 s: tactic.ring.normalize_mode.horner.sizeof_spec 0.000667 s: AddCommGroup.colimits.prequotient.of.inj 0.000502 s: list.ilast._main.equations._eqn_2 0.001514 s: monoid_hom.snd_comp_prod 0.001072 s: category_theory.limits.cocone.sizeof 0.000162 s: category_theory.limits.cocone.has_sizeof_inst 0.001195 s: category_theory.liftable_cocone.sizeof 0.000412 s: category_theory.liftable_cocone.has_sizeof_inst 0.001215 s: category_theory.lifts_to_colimit.sizeof 0.000519 s: category_theory.lax_monoidal_functor.id._proof_1 0.009416 s: category_theory.functor.to_cocone_ι_app 0.024875 s: category_theory.over.forget.category_theory.creates_colimits._proof_1 0.045245 s: category_theory.over.forget.category_theory.creates_colimits._proof_2 0.067714 s: category_theory.over.forget.category_theory.creates_colimits._proof_3 0.033134 s: category_theory.over.forget.category_theory.creates_colimits 0.001031 s: category_theory.over.has_colimit 0.003195 s: category_theory.over.has_colimit.equations._eqn_1 0.000172 s: multiplicative.ordered_cancel_comm_monoid._proof_9 0.085759 s: add_submonoid.map_bot 0.000790 s: monoid_hom.inv_apply 0.017525 s: monoid_hom.inv_comp 0.016517 s: subsemiring.closure_sUnion 0.001802 s: is_cobounded_le_nhds 0.005233 s: multiset.cons_sigma 0.004192 s: enorm.emetric_space.equations._eqn_1 0.065102 s: ennreal.has_continuous_add.equations._eqn_1 0.008746 s: function.surjective.comm_monoid_with_zero._proof_7 0.000220 s: _private.1785958385.name.components'._main.equations._eqn_1 0.000040 s: _private.1785958385.name.components'.equations._eqn_1 0.000094 s: tree.ibelow 0.000502 s: tree.binduction_on 0.000070 s: one_hom.id._proof_1 0.000107 s: one_hom.id 0.000042 s: rat.inhabited 0.000016 s: compare_reals.Q.inhabited 0.004889 s: smooth_map_comm_ring._proof_5 0.005849 s: equiv.prod_assoc_preimage 0.002404 s: has_fderiv_at.sub_const 0.001146 s: differentiable_at.sub_const 0.000401 s: differentiable.sub_const 0.017236 s: normed_space_lie_add_group.equations._eqn_1 0.000566 s: mvqpf.Mrepr 0.000703 s: prod.id_prod 0.004684 s: uniform_space_comap_id 0.000191 s: tactic.dsimp_config.sizeof 0.000032 s: tactic.dsimp_config.has_sizeof_inst 0.000076 s: tactic.unfold_proj_config.sizeof 0.000023 s: tactic.unfold_proj_config.has_sizeof_inst 0.000046 s: right_cancelative 0.000103 s: monad_io_is_monad_fail 0.000091 s: io_core_is_monad_fail 0.000062 s: io_core_is_monad_fail.equations._eqn_1 0.000659 s: function.involutive.to_equiv_symm_apply 0.006472 s: Kuratowski_embedding.embedding_of_subset.equations._eqn_1 0.000071 s: option.rhoare 0.000128 s: option.rhoare.equations._eqn_2 0.000545 s: is_R_or_C.im_lm._proof_1 0.145298 s: is_R_or_C.im_lm 0.286124 s: is_R_or_C.im_clm._proof_1 0.278487 s: is_R_or_C.im_clm 0.154825 s: is_R_or_C.im_clm_apply 0.000248 s: measure_theory.ae_eq_fun.inhabited 0.015561 s: nat.size_pow 0.000099 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_6 0.000096 s: category_theory.Kleisli.equations._eqn_1 0.000379 s: equiv.semigroup._proof_1 0.000566 s: equiv.semigroup 0.000613 s: measure_theory.finite_measure.rec_on 0.005201 s: tensor_product.ite_tmul 0.000255 s: pgame.left_wins_of_equiv 0.000185 s: pgame.left_wins_of_equiv_iff 0.010012 s: prime_multiset.prod_smul 0.000130 s: category_theory.skeletal.equations._eqn_1 0.000063 s: psigma.fintype_prop_prop._proof_1 0.000042 s: psigma.fintype_prop_prop._proof_2 0.001176 s: psigma.fintype_prop_prop._match_1 0.000160 s: psigma.fintype_prop_prop._proof_3 0.000111 s: psigma.fintype_prop_prop._proof_4 0.000272 s: psigma.fintype_prop_prop 0.000350 s: psigma.fintype_prop_prop.equations._eqn_1 0.003908 s: smooth_map_group._proof_1 0.001733 s: smooth_map_group._proof_2 0.003031 s: smooth_map_group._proof_3 0.002206 s: smooth_map_group._proof_4 0.001784 s: smooth_map_group._proof_5 0.002503 s: smooth_map_group._proof_6 0.029103 s: smooth_map_group._proof_9 0.031520 s: smooth_map_group 0.007128 s: smooth_map_comm_group._proof_1 0.000549 s: qpf.is_precongr.equations._eqn_1 0.002221 s: real.has_sup 0.000040 s: real.has_sup.equations._eqn_1 0.000233 s: with_top.canonically_linear_ordered_add_monoid._proof_1 0.000488 s: set.ord_connected.dcases_on 0.028307 s: iterated_fderiv_succ_apply_right 0.000514 s: fintype.card_eq_sum_ones 0.000399 s: pi.add_semigroup.equations._eqn_1 0.000144 s: wf_dvd_monoid.cases_on 0.001781 s: ordnode.filter._main.equations._eqn_2 0.000431 s: free_algebra.quot_mk_eq_ι 0.006336 s: star_ordered_ring.mk.sizeof_spec 0.003891 s: inner_product_space.core.no_confusion 0.003139 s: inner_product_space.core.mk.inj 0.002718 s: inner_product_space.core.mk.inj_arrow 0.000026 s: pnat.xgcd_type.z 0.000016 s: pnat.gcd_z 0.000027 s: pnat.gcd_x 0.000016 s: pnat.gcd_d 0.000021 s: pnat.xgcd_type.w 0.000015 s: pnat.gcd_w 0.000029 s: pnat.gcd_a' 0.000027 s: pnat.gcd_b' 0.000037 s: pnat.xgcd_type.is_special 0.000032 s: pnat.xgcd_type.is_special' 0.000042 s: pnat.xgcd_type.z.equations._eqn_1 0.000032 s: pnat.xgcd_type.w.equations._eqn_1 0.013586 s: pnat.xgcd_type.is_special_iff 0.000286 s: pnat.xgcd_type.reduce_a 0.015223 s: pnat.xgcd_type.finish_is_special 0.005285 s: pnat.xgcd_type.flip_is_special 0.018352 s: pnat.xgcd_type.step_is_special 0.004502 s: pnat.xgcd_type.reduce_special 0.000047 s: pnat.xgcd_type.reduce_special' 0.000124 s: pnat.xgcd_type.v 0.000155 s: pnat.xgcd_type.rq_eq 0.007743 s: pnat.xgcd_type.qp_eq 0.018691 s: pnat.xgcd_type.finish_v 0.015530 s: pnat.xgcd_type.flip_v 0.029210 s: pnat.xgcd_type.step_v 0.008127 s: pnat.xgcd_type.reduce_v 0.014333 s: pnat.xgcd_type.start_v 0.004713 s: pnat.gcd_b'_coe 0.002563 s: pnat.gcd_a'_coe 0.000091 s: pnat.xgcd_type.finish_is_reduced 0.002134 s: pnat.xgcd_type.reduce_reduced 0.000054 s: pnat.xgcd_type.reduce_reduced' 0.032583 s: pnat.gcd_props 0.003437 s: pnat.dvd_gcd 0.024828 s: pnat.gcd_eq 0.005878 s: pnat.gcd_rel_left 0.004009 s: list.sum_neg_reverse 0.001820 s: list.sum_reverse_noncomm 0.000545 s: uniform_space.completion.map.equations._eqn_1 0.000470 s: category_theory.triangulated.triangle.rotate_obj₂ 0.000617 s: with_top.densely_ordered._match_1.equations._eqn_2 0.002921 s: valuation.mk.inj 0.003621 s: valuation.mk.inj_eq 0.000841 s: list.decidable_bex._sunfold 0.001920 s: normed_group.tendsto_at_top 0.000043 s: slim_check.format_failure' 0.001428 s: slim_check.format_failure'._main.equations._eqn_3 0.000166 s: slim_check.format_failure'.equations._eqn_3 0.003871 s: is_submonoid.list_prod_mem 0.163968 s: submodule.eq_top_of_disjoint 0.041095 s: module.End.generalized_eigenspace.equations._eqn_1 0.349025 s: module.End.generalized_eigenvec_disjoint_range_ker 0.218900 s: submodule.findim_mono 0.267671 s: module.End.pos_findim_generalized_eigenspace_of_has_eigenvalue 0.000388 s: linear_map.one_eq_id 0.124887 s: module.End.generalized_eigenspace_restrict 0.528558 s: module.End.supr_generalized_eigenspace_eq_top 0.000353 s: lazy_list.decidable_eq._main._proof_3 0.005091 s: category_theory.monoidal_nat_trans.no_confusion_type 0.002332 s: category_theory.monoidal_nat_trans.no_confusion 0.002323 s: category_theory.equivalence.symm_unit_iso 0.000140 s: stream.approx.equations._eqn_2 0.000575 s: Semigroup.semigroup.equations._eqn_1 0.003801 s: lattice.rec_on 0.008169 s: Module.colimits.desc_morphism._proof_2 0.001982 s: Module.colimits.desc_morphism 0.009627 s: Module.colimits.colimit_cocone_is_colimit._proof_1 0.001427 s: Module.colimits.quot_zero 0.001213 s: Module.colimits.quot_neg 0.002217 s: Module.colimits.quot_add 0.001407 s: Module.colimits.quot_smul 0.031794 s: Module.colimits.colimit_cocone_is_colimit._proof_2 0.002173 s: Module.colimits.colimit_cocone_is_colimit 0.000335 s: Module.colimits.has_colimits_Module 0.000335 s: ordinal.add_monoid._match_3.equations._eqn_1 0.000171 s: int.even.decidable_pred._proof_1 0.000140 s: num.min_fac._main.equations._eqn_2 0.000030 s: num.min_fac.equations._eqn_2 0.000041 s: pos_num.has_lt.equations._eqn_1 0.000525 s: nat.decidable_lo_hi_le._proof_1 0.000159 s: nat.decidable_lo_hi_le 0.000191 s: nat.decidable_lo_hi_le.equations._eqn_1 0.004440 s: probability_theory.Indep 0.001789 s: probability_theory.Indep_fun 0.000338 s: probability_theory.Indep_fun.equations._eqn_1 0.000046 s: cardinal.distrib_lattice 0.000060 s: cardinal.distrib_lattice.equations._eqn_1 0.013961 s: continuous_multilinear_map.curry_sum._proof_1 0.077725 s: continuous_multilinear_map.curry_sum 0.018690 s: comm_group_with_zero.cases_on 0.004657 s: comm_group_with_zero.no_confusion_type 0.005003 s: comm_group_with_zero.no_confusion 0.196913 s: times_cont_diff_bump.cases_on 0.224688 s: times_cont_diff_bump.no_confusion_type 0.219518 s: times_cont_diff_bump.no_confusion 0.191005 s: times_cont_diff_bump.mk.inj 0.023558 s: category_theory.non_preadditive_abelian.mono_factor_thru_image.equations._eqn_1 0.000502 s: bool.bounded_lattice._proof_10 0.011600 s: metric.tendsto_locally_uniformly_on_iff 0.000132 s: set.indicator_hom._proof_1 0.000817 s: set.indicator_hom 0.002676 s: set.indicator_hom.equations._eqn_1 0.000832 s: list.has_decidable_lt._main.equations._eqn_2 0.000131 s: strict_weak_order.not_lt_of_equiv' 0.000965 s: normed_add_torsor.to_semi_normed_add_torsor.equations._eqn_1 0.001634 s: category_theory.limits.colim_map.equations._eqn_1 0.095991 s: has_mfderiv_within_at_inter' 0.000349 s: znum.abs_to_znum 0.013783 s: div_inv_monoid.div._default.equations._eqn_1 0.000597 s: nat.arithmetic_function.zeta.equations._eqn_1 0.002596 s: slim_check.test_forall_in_list._match_1._proof_2 0.002002 s: continuous_linear_map.nonlinear_right_inverse.has_sizeof_inst 0.006476 s: mv_power_series.coeff_inv 0.000799 s: linear_ordered_add_comm_group.sub._default 0.000861 s: linear_ordered_add_comm_group.sub._default.equations._eqn_1 0.000166 s: slim_check.is_failure._main 0.000096 s: slim_check.is_failure._main.equations._eqn_3 0.004490 s: pnat.has_mul.equations._eqn_1 0.000227 s: pos_num.one_bits._main.equations._eqn_1 0.000108 s: tactic.itauto.prop.ibelow 0.000999 s: tactic.itauto.prop.binduction_on 0.000522 s: polynomial.erase_lead_card_support' 0.002693 s: bundle_trivialization.comp_homeomorph._proof_2 0.000022 s: turing.partrec_to_TM2.K'.stack.inj 0.001414 s: Mon_.unique_hom_from_trivial._proof_1 0.001845 s: Mon_.unique_hom_from_trivial._proof_2 0.001877 s: Mon_.unique_hom_from_trivial 0.002114 s: CommMon_.unique_hom_from_trivial 0.000209 s: CommMon_.category_theory.limits.has_initial 0.000365 s: filter.has_basis.to_subset 0.000125 s: AddCommMon.comm_monoid.to_monoid.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.018273 s: is_basis.coord_fun 0.018572 s: is_basis.coord_fun.equations._eqn_1 0.000303 s: equiv.pempty_arrow_equiv_punit.equations._eqn_1 0.000810 s: list.minimum_nil 0.000786 s: category_theory.limits.pair_obj_right 0.025663 s: is_basis.constr_apply_fintype 0.045839 s: is_basis.to_matrix_eq_to_matrix_constr 0.011009 s: linear_equiv.trans_symm 0.030337 s: linear_equiv.is_unit_det 0.038504 s: is_basis.iff_det 0.011877 s: category_theory.monoidal_of_has_finite_products.left_unitor_inv 0.000087 s: cont_t.with_cont_t 0.000176 s: cont_t.with_cont_t.equations._eqn_1 0.000104 s: bifunctor.snd 0.000203 s: bifunctor.snd.equations._eqn_1 0.001953 s: bifunctor.snd_fst 0.000071 s: slim_check.format_failure'.equations._eqn_1 0.004996 s: nat.bit1_le 0.000711 s: nat.bit_le 0.000748 s: has_continuous_sub.has_measurable_sub.equations._eqn_1 0.072269 s: polynomial.exists_irreducible_of_degree_pos 0.018795 s: polynomial.exists_irreducible_of_nat_degree_pos 0.001164 s: is_ring_hom.drec_on 0.000543 s: set.mem_image3 0.003236 s: list.mem_sigma 0.158863 s: filter.tendsto.at_bot_mul_neg 0.026941 s: filter.tendsto.neg_mul_at_bot 0.000364 s: cardinal.is_equivalent._match_3.equations._eqn_1 0.000224 s: is_solvable.cases_on 0.007149 s: affine_span.nonempty 0.004347 s: affine_span.nonempty.equations._eqn_1 0.000901 s: tactic.ring2.horner_expr.cseval._main 0.000057 s: tactic.ring2.horner_expr.cseval 0.006638 s: tactic.ring2.horner_expr.cseval_atom 0.000180 s: tactic.ring2.horner_expr.add_const.equations._eqn_1 0.000195 s: num.cast_zero' 0.000625 s: num.add_to_znum 0.024383 s: tactic.ring2.horner_expr.cseval_add_const 0.000159 s: tactic.ring2.horner_expr.horner'.equations._eqn_1 0.011678 s: num.cast_inj 0.030041 s: tactic.ring2.horner_expr.cseval_horner' 0.000374 s: znum.cast_zero' 0.061435 s: tactic.ring2.horner_expr.cseval_add 0.000346 s: tactic.ring2.horner_expr.mul_const.equations._eqn_1 0.014323 s: num.to_znum_inj 0.009819 s: num.cast_mul 0.016074 s: tactic.ring2.horner_expr.cseval_mul_const 0.034476 s: tactic.ring2.horner_expr.cseval_mul 0.000188 s: tactic.ring2.horner_expr.pow._main.equations._eqn_2 0.000068 s: tactic.ring2.horner_expr.pow.equations._eqn_2 0.014449 s: tactic.ring2.horner_expr.cseval_pow 0.016752 s: tactic.ring2.horner_expr.cseval_of_csexpr 0.222561 s: deriv_within.log 0.000069 s: tactic.interactive.case_tag.match_result.exact_match.sizeof_spec 0.025063 s: lie_equiv.of_eq._proof_1 0.007960 s: lie_equiv.of_eq._proof_2 0.004616 s: lie_equiv.of_eq._proof_3 0.003102 s: linear_equiv.coe_of_eq_apply 0.013993 s: lie_equiv.of_eq._proof_4 0.006762 s: lie_equiv.of_eq._proof_5 0.004776 s: lie_equiv.of_eq._proof_6 0.102553 s: lie_equiv.of_eq 0.014521 s: lie_equiv.of_eq_apply 0.001837 s: category_theory.iso.trans_mk 0.005010 s: linear_map.comp_alternating_map_apply 0.000675 s: measurable_equiv.set.range_inr._match_1._proof_1 0.000919 s: measurable_equiv.set.range_inr._match_1.equations._eqn_1 0.000347 s: add_lt_of_add_lt_left 0.000247 s: omega.nat.preform.not.inj 0.000044 s: omega.nat.preform.not.inj_arrow 0.006665 s: composition.sigma_equiv_sigma_pi._proof_2 0.000852 s: composition.sigma_equiv_sigma_pi._proof_3 0.007906 s: composition.sigma_equiv_sigma_pi._proof_4 0.002046 s: composition.sigma_composition_eq_iff 0.000743 s: composition.sigma_composition_aux.equations._eqn_1 0.022799 s: composition.sigma_equiv_sigma_pi._proof_5 0.007621 s: composition.sigma_pi_composition_eq_iff 0.005385 s: list.take_append 0.005520 s: list.take_sum_join 0.004653 s: list.drop_append 0.011619 s: list.drop_sum_join 0.007657 s: list.drop_take_succ_eq_cons_nth_le 0.030478 s: list.drop_take_succ_join_eq_nth_le 0.006853 s: list.eq_iff_join_eq 0.000922 s: list.split_wrt_composition_join 0.029232 s: composition.sigma_equiv_sigma_pi._proof_6 0.005889 s: composition.sigma_equiv_sigma_pi 0.002915 s: composition.sigma_equiv_sigma_pi.equations._eqn_1 0.001742 s: norm_add_mul_self_real 0.007135 s: function.injective.add_cancel_comm_monoid._proof_7 0.009284 s: path.extend_extends 0.273512 s: path.trans_range 0.001231 s: fin.coe_coe_of_lt 0.202655 s: is_path_connected.exists_path_through_family 0.019694 s: path_connected_space.exists_path_through_family 0.002208 s: finset.piecewise_cases 0.002730 s: finset.le_piecewise_of_le_of_le 0.002492 s: list.map_subset 0.002043 s: distrib_mul_action_hom.map_add 0.000364 s: order.is_ideal.nonempty 0.000266 s: order.is_ideal.directed 0.000404 s: order.is_ideal.mem_of_le 0.000312 s: order.is_ideal.to_ideal 0.000340 s: order.is_pfilter.to_pfilter 0.000619 s: order.ideal.is_prime.compl_filter 0.015626 s: order.pfilter.inf_mem 0.008049 s: order.ideal.is_prime.mem_or_mem 0.000803 s: order.is_pfilter.of_def 0.000381 s: compl_eq_bot 0.005068 s: set.compl_empty_iff 0.000371 s: set.nonempty_compl 0.000369 s: order.ideal.is_proper.drec 0.000275 s: order.ideal.is_proper_iff 0.001883 s: order.ideal.mem_compl_of_ge 0.006781 s: order.ideal.is_prime.of_mem_or_mem 0.000504 s: order.ideal.is_prime_iff_mem_or_mem 0.000334 s: order.ideal.is_maximal.to_is_proper 0.000176 s: order.ideal.lattice._proof_2 0.000522 s: order.ideal.lattice._proof_3 0.000605 s: order.ideal.lattice._proof_4 0.001500 s: order.ideal.lattice._proof_5 0.003451 s: order.ideal.sup_le 0.000229 s: order.ideal.inf._proof_1 0.000476 s: order.ideal.inf._proof_2 0.001456 s: order.ideal.inf._match_3 0.000431 s: order.ideal.inf._proof_3 0.001051 s: order.ideal.inf 0.000415 s: order.ideal.lattice._proof_7 0.000378 s: order.ideal.lattice._proof_8 0.000382 s: order.ideal.lattice._proof_9 0.017511 s: order.ideal.lattice 0.003070 s: order.ideal.semilattice_inf.ideal_inter_nonempty 0.000562 s: order.ideal.mem_coe 0.001082 s: order.ideal.mem_sup 0.000164 s: left_eq_inf 0.001665 s: order.ideal.eq_sup_of_le_sup 0.011017 s: order.ideal.coe_sup_eq 0.000411 s: order.ideal.is_maximal.maximal_proper 0.003006 s: order.ideal.principal_le_iff 0.006308 s: order.ideal.lt_sup_principal_of_not_mem 0.008228 s: order.ideal.is_maximal.is_prime 0.010429 s: order.ideal.is_maximal.is_prime.equations._eqn_1 0.002312 s: Prop.linear_order.equations._eqn_1 0.002469 s: category_theory.limits.cone.sizeof 0.007162 s: Top.presheaf_to_Types_map 0.000490 s: category_theory.bundled.no_confusion_type 0.000267 s: list.mfoldr._sunfold 0.000956 s: has_le.ext_iff 0.000355 s: parser.static.sat 0.000233 s: parser.static.not_of_ne 0.002726 s: parser.one_of_eq_done 0.018921 s: parser.static.one_of_iff 0.000057 s: parser.static.one_of' 0.000122 s: has_fix.sizeof 0.001031 s: measure_theory.measure.ae.equations._eqn_1 0.000226 s: mul_equiv.unique 0.005570 s: category_theory.subobject.underlying_iso_arrow_assoc 0.002309 s: finset.measurable_prod' 0.000075 s: ulift.unique 0.000094 s: ulift.unique.equations._eqn_1 0.002368 s: slim_check.tree.shrink_with._match_1.equations._eqn_1 0.006544 s: times_cont_mdiff_map.comp._proof_1 0.005823 s: times_cont_mdiff_map.comp 0.005790 s: times_cont_mdiff_map.comp.equations._eqn_1 0.006511 s: smooth_monoid_morphism.cases_on 0.003797 s: smooth_monoid_morphism.no_confusion_type 0.005980 s: smooth_monoid_morphism.no_confusion 0.006782 s: smooth_monoid_morphism.mk.inj 0.007931 s: smooth_monoid_morphism.mk.inj_eq 0.000258 s: monad_writer.cases_on 0.000193 s: monad_writer.no_confusion_type 0.000930 s: cardinal.mk_image_eq_of_inj_on 0.000270 s: opposite.comm_group._proof_8 0.000362 s: continuous.lim_eq 0.000145 s: padic.has_add.equations._eqn_1 0.010436 s: category_theory.costructured_arrow.iso_mk_hom_left 0.000307 s: free_abelian_group.seq_zero 0.000847 s: set.add_mem_Ioc_iff_right 0.000024 s: omega.ee.drop.inj 0.039121 s: abs_sub_abs_le_abs_sub 0.012667 s: category_theory.yoneda.ext._proof_1 0.007728 s: category_theory.yoneda.ext._proof_2 0.025639 s: category_theory.yoneda.ext._proof_3 0.010115 s: category_theory.yoneda.ext 0.003871 s: category_theory.yoneda.ext.equations._eqn_1 0.000266 s: category_theory.inhabited_thin_skeleton 0.000223 s: category_theory.inhabited_thin_skeleton.equations._eqn_1 0.005361 s: category_theory.limits.cocone_of_diagram_terminal.equations._eqn_1 0.001952 s: pos_num.le_to_nat 0.001517 s: pos_num.linear_order._proof_1 0.001146 s: pos_num.linear_order._proof_2 0.001749 s: pos_num.linear_order._proof_3 0.005584 s: pos_num.linear_order._proof_4 0.004715 s: pos_num.linear_order._proof_5 0.000157 s: pos_num.decidable_le._main 0.000016 s: pos_num.decidable_le 0.000981 s: pos_num.linear_order 0.000819 s: pos_num.linear_order.equations._eqn_1 0.000167 s: NFA.step_set.equations._eqn_1 0.001262 s: NFA.mem_step_set 0.009105 s: subring.has_top.equations._eqn_1 0.005917 s: set.union_inter_distrib_left 0.000183 s: bifunctor.rec_on 0.002749 s: filter.germ.comp_tendsto'._proof_1 0.000381 s: filter.germ.comp_tendsto' 0.002565 s: filter.germ.const_comp_tendsto' 0.004065 s: eq_neg_vadd_iff 0.000101 s: nat.even_or_odd 0.001215 s: nat.mod_two_ne_one 0.000287 s: nat.not_odd_iff 0.000179 s: nat.even_iff_not_odd 0.000277 s: nat.even_xor_odd 0.000155 s: free_magma.no_confusion_type 0.000576 s: free_magma.no_confusion 0.059472 s: matrix.to_bilin'_comp 0.001959 s: category_theory.equivalence.pow_zero 0.000089 s: heq.rfl.equations._eqn_1 0.016048 s: pi_tensor_product.lift_add_hom._match_1.equations._eqn_4 0.000361 s: closure_operator.closure_top 0.000215 s: closure_operator.top_mem_closed 0.000946 s: category_theory.limits.reflects_colimits_of_shape_of_reflects_isomorphisms 0.001199 s: category_theory.limits.reflects_colimits_of_shape_of_reflects_isomorphisms.equations._eqn_1 0.001445 s: computation.map._sunfold 0.000091 s: smt_config.sizeof 0.000114 s: has_seq.rec_on 0.000351 s: ordnode.valid'.drec 0.000380 s: category_theory.is_right_adjoint.cases_on 0.000274 s: category_theory.is_right_adjoint.no_confusion_type 0.000751 s: category_theory.is_right_adjoint.no_confusion 0.000486 s: Set.map.equations._eqn_1 0.329686 s: euclidean_space.finite_dimensional.equations._eqn_1 0.006606 s: complex.sin_square 0.000298 s: finset.functor 0.000804 s: normed_linear_ordered_group.no_confusion_type 0.001417 s: bounded_continuous_function.neg_apply 0.005616 s: order_iso.Iic_top.equations._eqn_1 0.007415 s: category_theory.functor.const.op_obj_op._proof_2 0.029510 s: category_theory.functor.const.op_obj_op._proof_3 0.030959 s: category_theory.functor.const.op_obj_op._proof_4 0.011100 s: category_theory.functor.const.op_obj_op 0.000422 s: filter.realizer.map_σ 0.000649 s: monotone.map_bdd_below 0.001120 s: filter.principal_le_iff 0.000606 s: subset_interior_iff_nhds 0.000288 s: cluster_pt_iff 0.027884 s: filter.comap_supr 0.006316 s: filter.comap_prod 0.001239 s: infi_split_single 0.009727 s: supr_split_single 0.003205 s: filter.comap_const_of_mem 0.000967 s: compl_singleton_mem_nhds 0.258138 s: uniform_space_of_compact_t2._proof_4 0.001201 s: mk_iff.list_option_merge._main.equations._eqn_4 0.000294 s: mk_iff.list_option_merge.equations._eqn_4 0.000257 s: pi.has_scalar.equations._eqn_1 0.016486 s: neg_one_pow_mul_eq_zero_iff 0.000132 s: has_monad_lift_to_has_coe 0.000243 s: has_monad_lift_to_has_coe.equations._eqn_1 0.001263 s: vector.to_list_map 0.000495 s: vector.map_id 0.048390 s: filter.tendsto_at_bot_add_right_of_ge' 0.000641 s: circle_deg1_lift.mk.inj 0.005826 s: circle_deg1_lift.mk.inj_eq 0.000201 s: computability.inclusion_bool_Γ'_injective 0.000352 s: monoid.foldl.mk 0.000246 s: traversable.foldl 0.000093 s: traversable.to_list 0.000081 s: traversable.free.map 0.000440 s: traversable.fold_map_hom_free 0.000669 s: traversable.foldl.of_free_monoid_comp_free_mk 0.000144 s: traversable.to_list.equations._eqn_1 0.000325 s: traversable.foldl.equations._eqn_1 0.005358 s: traversable.to_list_spec 0.000549 s: traversable.free.map_eq_map 0.000086 s: traversable.free.map.equations._eqn_1 0.000228 s: free_monoid.one_def 0.001724 s: traversable.free.map.is_monoid_hom 0.001661 s: traversable.to_list_map 0.000303 s: turing.TM2to1.st_act.no_confusion_type 0.000669 s: turing.TM2to1.st_act.no_confusion 0.000279 s: turing.TM2to1.st_act.push.inj 0.000303 s: subsemiring.to_ordered_semiring._proof_1 0.000405 s: subsemiring.to_ordered_semiring._proof_2 0.000278 s: subsemiring.to_ordered_semiring._proof_3 0.000316 s: subsemiring.to_ordered_semiring._proof_4 0.000327 s: subsemiring.to_ordered_semiring._proof_5 0.013596 s: subsemiring.to_ordered_semiring 0.013970 s: subsemiring.to_ordered_semiring.equations._eqn_1 0.000068 s: compare_reals.Bourbaki_pkg 0.000041 s: compare_reals.Bourbaki_pkg.equations._eqn_1 0.000280 s: parser.mono.and_then.equations._eqn_1 0.031599 s: hahn_series.summable_family.has_scalar._proof_1 0.000297 s: hahn_series.summable_family.has_scalar._proof_2 0.000471 s: hahn_series.summable_family.has_scalar._proof_3 0.036927 s: hahn_series.summable_family.has_scalar._proof_4 0.012978 s: hahn_series.summable_family.has_scalar 0.009031 s: hahn_series.summable_family.has_scalar.equations._eqn_1 0.006038 s: infi_eq_infi_finset' 0.000345 s: set.Inter_eq_Inter_finset' 0.002575 s: set.empty_card 0.000098 s: simple_graph.matching.inhabited._proof_1 0.000180 s: simple_graph.matching.inhabited._proof_2 0.000259 s: simple_graph.matching.inhabited 0.003546 s: category_theory.whisker_left_id' 0.002507 s: category_theory.cocones._proof_1 0.008390 s: category_theory.whisker_left_comp 0.006857 s: category_theory.cocones._proof_2 0.002961 s: category_theory.cocones 0.030938 s: category_theory.adjunction.cocones_iso_component_inv._proof_1 0.014269 s: category_theory.adjunction.cocones_iso_component_inv 0.015449 s: category_theory.adjunction.cocones_iso_component_inv.equations._eqn_1 0.004981 s: is_scalar_tower.to_alg_hom.equations._eqn_1 0.000104 s: expr.coord.rec_on 0.001924 s: category_theory.over.pullback_id.equations._eqn_1 0.014168 s: hahn_series.to_power_series_apply 0.000102 s: nat.digits_zero_zero 0.002407 s: ordnode.raised.right 0.000201 s: option_t.of_option._sunfold 0.001239 s: normed_group_hom.no_confusion 0.005927 s: linear_equiv.congr_right 0.007958 s: linear_equiv.congr_right.equations._eqn_1 0.000369 s: category_theory.sheaf.finest_topology.equations._eqn_1 0.124156 s: snd_integral 0.000398 s: monad_except.sizeof 0.000381 s: has_measurable_mul.dcases_on 0.013178 s: lazy_list.interleave._main 0.000045 s: lazy_list.interleave 0.000162 s: lazy_list.interleave._sunfold 0.000182 s: option.sizeof._main.equations._eqn_1 0.000421 s: is_conj_iff_conjugates_of_eq 0.015227 s: with_top.one_le_iff_pos 0.006182 s: submonoid.comap_comap 0.003001 s: category_theory.non_preadditive_abelian.diag_σ_assoc 0.003057 s: category_theory.sum.associator_map_inl_inl 0.000721 s: CommSemiRing.has_forget_to_SemiRing.equations._eqn_1 0.000055 s: omega.nat.push_neg.equations._eqn_1 0.000129 s: norm_num.int_div_neg 0.002835 s: category_theory.functor.pi.equations._eqn_1 0.005089 s: principal_seg.of_element._match_1.equations._eqn_1 0.001999 s: finsum_mem_inter_support_eq 0.000984 s: finsum_mem_inter_support_eq' 0.000379 s: category_theory.single_obj.map_hom._proof_1 0.001179 s: category_theory.single_obj.map_hom._proof_2 0.009029 s: category_theory.single_obj.map_hom._match_1 0.002898 s: category_theory.single_obj.map_hom._proof_5 0.000886 s: category_theory.functor.no_confusion_type 0.001176 s: category_theory.functor.no_confusion 0.002724 s: category_theory.functor.mk.inj 0.014485 s: category_theory.functor.mk.inj_eq 0.018100 s: category_theory.single_obj.map_hom._proof_6 0.005394 s: category_theory.single_obj.map_hom 0.008180 s: category_theory.single_obj.map_hom_comp 0.004556 s: subsemiring.prod_mono 0.000525 s: subsemiring.prod_mono_right 0.002876 s: complete_lattice.no_confusion_type 0.002772 s: complete_lattice.no_confusion 0.008417 s: complete_lattice.mk.inj 0.010295 s: complete_lattice.mk.inj_arrow 0.005242 s: quotient_group.quotient.group.equations._eqn_1 0.001146 s: free_magma.repr._main 0.000539 s: setoid.quotient_ker_equiv_range._proof_1 0.000368 s: char_poly 0.007195 s: iterate_frobenius 0.000436 s: char_poly.equations._eqn_1 0.072045 s: matrix.ring_hom.map_det 0.010738 s: matrix.alg_hom.map_det 0.000456 s: finset.sum_product' 0.004746 s: matrix.induction_on' 0.005017 s: matrix.std_basis_matrix_add 0.099744 s: matrix_equiv_tensor_apply_std_basis 0.125310 s: poly_equiv_tensor_apply 0.010708 s: algebra.lmul_left_apply 0.004814 s: algebra.lmul_left_one 0.024771 s: algebra.tensor_product.comm.equations._eqn_1 0.028909 s: algebra.tensor_product.comm_tmul 0.154006 s: mat_poly_equiv_coeff_apply_aux_1 0.016380 s: matrix.std_basis_matrix_zero 0.017657 s: mat_poly_equiv_coeff_apply_aux_2 0.022095 s: mat_poly_equiv_coeff_apply 0.081455 s: mat_poly_equiv_char_matrix 0.023041 s: sub_pow_char_of_commute 0.008143 s: sub_pow_char_pow_of_commute 0.001597 s: matrix.scalar_inj 0.066339 s: matrix.char_p 0.000168 s: polynomial.commute_X 0.000403 s: polynomial.C_pow 0.291150 s: mat_poly_equiv_eq_X_pow_sub_C 0.021333 s: matrix.subsingleton_of_empty_left 0.748453 s: finite_field.char_poly_pow_card 0.279789 s: polynomial.cyclotomic'_splits 0.031526 s: list.foldl_rec_on 0.000077 s: free_add_magma.length 0.000443 s: free_add_magma.length._main.equations._eqn_1 0.000067 s: free_add_magma.length.equations._eqn_1 0.004076 s: monad.sequence._main 0.001577 s: monad.sequence._main.equations._eqn_2 0.000262 s: cardinal.has_mul.equations._eqn_1 0.006703 s: polynomial.chebyshev.T_eq_U_sub_X_mul_U 0.000853 s: nat.unique_units.equations._eqn_1 0.000145 s: list.has_decidable_lt._match_1._proof_1 0.000142 s: tactic.reorder_goals._match_1 0.000195 s: coe_decidable_eq 0.000615 s: tactic.reorder_goals._sunfold 0.000563 s: parser.prog.decorate_errors 0.007509 s: parser.step.sat 0.000165 s: parser.prog.sat 0.000483 s: parser.prog.one_of 0.000427 s: nonempty_pprod 0.000691 s: le_of_sup_eq 0.004422 s: list.length_permutations 0.000188 s: lift_list 0.008658 s: category_theory.monad.cases_on 0.050736 s: continuous_linear_equiv.coord.equations._eqn_1 0.005159 s: charted_space_core.open_source 0.007867 s: charted_space_core.open_target 0.002131 s: charted_space_core.local_homeomorph._proof_2 0.000960 s: with_top.zero_lt_coe 0.013770 s: polynomial.coeff_nat_trailing_degree_pred_eq_zero 0.002030 s: filter.seq._match_2.equations._eqn_1 0.000814 s: alg_equiv.to_lie_equiv._proof_1 0.000893 s: alg_equiv.to_lie_equiv._proof_2 0.001754 s: alg_equiv.map_sub 0.010884 s: alg_equiv.to_lie_equiv._proof_3 0.001464 s: alg_equiv.to_lie_equiv._proof_4 0.001230 s: alg_equiv.to_lie_equiv._proof_5 0.031823 s: alg_equiv.to_lie_equiv 0.038188 s: alg_equiv.to_lie_equiv.equations._eqn_1 0.000134 s: equiv.empty_prod._match_1 0.000043 s: equiv.empty_prod._proof_1 0.000058 s: equiv.empty_prod 0.000125 s: equiv.empty_prod.equations._eqn_1 0.001042 s: nhds_subtype 0.009003 s: principal_subtype 0.003821 s: mem_nhds_within_subtype 0.001010 s: nhds_within_subtype 0.000106 s: filter.germ.has_top 0.000147 s: filter.germ.order_top._proof_1 0.000152 s: filter.germ.order_top._proof_2 0.000338 s: filter.germ.order_top._proof_3 0.000598 s: filter.germ.order_top._proof_4 0.005637 s: filter.germ.order_top._proof_5 0.002025 s: filter.germ.order_top 0.000171 s: has_scalar.no_confusion_type 0.000341 s: has_scalar.no_confusion 0.000208 s: has_scalar.mk.inj 0.000188 s: has_scalar.mk.inj_arrow 0.002174 s: module.End.has_eigenvector.equations._eqn_1 0.062110 s: direct_sum.gcomm_monoid.of_add_subgroups 0.051061 s: direct_sum.gcomm_monoid.of_add_subgroups.equations._eqn_1 0.009146 s: category_theory.with_terminal.lift_star_inv 0.001265 s: is_galois.to_normal.equations._eqn_1 0.000262 s: with_one.comm_monoid._proof_1 0.000233 s: with_one.comm_monoid._proof_2 0.000145 s: with_one.comm_monoid._proof_3 0.002939 s: with_one.comm_monoid._proof_4 0.002197 s: with_one.comm_monoid._proof_5 0.000138 s: with_one.comm_monoid._proof_6 0.001541 s: with_one.comm_monoid 0.000114 s: tactic.eliminate.generalization_mode.no_confusion_type 0.000467 s: tactic.eliminate.generalization_mode.no_confusion 0.000092 s: tactic.eliminate.generalization_mode.generalize_all_except.inj 0.000064 s: tactic.eliminate.generalization_mode.generalize_all_except.inj_arrow 0.004436 s: nat.gcd_dvd_gcd_of_dvd_right 0.002817 s: nat.gcd_dvd_gcd_mul_right_right 0.000808 s: order_dual.to_dual_of_dual 0.353529 s: interval_integral.integral_has_strict_fderiv_at 0.305976 s: interval_integral.integral_has_fderiv_at 0.320947 s: interval_integral.fderiv_integral 0.000102 s: nat.partrec.code.zero.inj 0.000032 s: nat.partrec.code.zero.inj_arrow 0.000209 s: set.Ici.equations._eqn_1 0.000592 s: parser.static.decorate_errors.equations._eqn_1 0.000108 s: default_has_sizeof.equations._eqn_1 0.000298 s: dmatrix.unique 0.000311 s: dmatrix.unique.equations._eqn_1 0.034440 s: quiver.arborescence_mk._proof_1 0.008035 s: continuous_linear_map.pi_apply 0.000071 s: seq.split_at 0.000179 s: seq.split_at._sunfold 0.000396 s: is_min_on.add 0.000213 s: rel_iso.swap._proof_1 0.000107 s: omega.ee.sizeof 0.000278 s: omega.ee.nondiv.sizeof_spec 0.166228 s: measure_theory.set_integral_nonneg 0.023016 s: power_series.coeff_zero_C 0.003466 s: power_series.coeff_zero_one 0.026501 s: matrix.cons_append 0.000925 s: parser.fix_core._main.equations._eqn_2 0.005851 s: category_theory.triangulated.triangle.mk_obj₁ 0.000758 s: valuation.map._proof_3 0.000137 s: ultrafilter.inhabited 0.002341 s: filter.le_of_map_le_map_inj' 0.020060 s: order_dual.linear_ordered_cancel_comm_monoid._proof_15 0.000529 s: multiplicity.unit_right 0.000076 s: int.nonneg.equations._eqn_1 0.007422 s: pi.add_cancel_monoid._proof_3 0.000880 s: turing.TM1.supports_stmt._main.equations._eqn_6 0.000387 s: emetric.normal_of_emetric.equations._eqn_1 0.000502 s: conj_classes.mk_equiv._proof_2 0.000222 s: pmf.seq.equations._eqn_1 0.110912 s: left_mem_segment 0.118997 s: segment_same 0.000132 s: category_theory.subobject.complete_semilattice_Inf._proof_1 0.000215 s: category_theory.subobject.complete_semilattice_Inf._proof_2 0.015737 s: category_theory.subobject.complete_semilattice_Inf._proof_3 0.000398 s: category_theory.subobject.complete_semilattice_Inf._proof_4 0.000152 s: category_theory.subobject.complete_semilattice_Inf._proof_5 0.021850 s: category_theory.subobject.Inf_le 0.000517 s: category_theory.subobject.complete_semilattice_Inf._proof_6 0.004053 s: category_theory.subobject.complete_semilattice_Inf 0.001191 s: category_theory.subobject.complete_lattice._proof_18 0.002003 s: affine_equiv.surjective 0.001557 s: affine_equiv.range_eq 0.009423 s: category_theory.comma.iso_mk_inv_left 0.002950 s: diffeomorph.coe_fn_injective 0.002806 s: diffeomorph.ext 0.000585 s: is_scalar_tower.drec 0.002080 s: monoid_algebra.semimodule 0.002023 s: monoid_algebra.semimodule.equations._eqn_1 0.008358 s: linear_equiv.symm_trans_apply 0.000143 s: bitvec.slt 0.000091 s: bitvec.slt.equations._eqn_1 0.000192 s: list.func.get._sunfold 0.000253 s: monad_io_process.spawn 0.000047 s: io.proc.spawn 0.000725 s: subgroup.gc_map_comap 0.000360 s: onote.mul._main.equations._eqn_3 0.000046 s: onote.mul.equations._eqn_3 0.006110 s: smooth_add_monoid_morphism.cases_on 0.004359 s: smooth_add_monoid_morphism.no_confusion_type 0.005021 s: smooth_add_monoid_morphism.no_confusion 0.006776 s: smooth_add_monoid_morphism.mk.inj 0.005719 s: smooth_add_monoid_morphism.mk.inj_eq 0.070959 s: witt_vector.witt_mul.equations._eqn_1 0.013036 s: set.range_diff_image_subset 0.007971 s: set.range_diff_image 0.024401 s: measure_theory.outer_measure.binfi_apply' 0.008831 s: finsupp.no_zero_smul_divisors 0.003547 s: finsupp.no_zero_smul_divisors.equations._eqn_1 0.000340 s: buffer.iterate._main 0.019192 s: lipschitz_with.dist_iterate_succ_le_geometric 0.000376 s: no_zero_divisors.dcases_on 0.000121 s: AddCommGroup.has_zero 0.001299 s: AddCommGroup.one.unique._proof_1 0.518644 s: ultrafilter.ultrafilter.is_lawful_monad.equations._eqn_1 0.000218 s: ordinal.typein_iso._proof_4 0.003806 s: div_div_div_cancel_right 0.002540 s: complex.cos_ne_zero_iff 0.000222 s: complex.tan_int_mul_pi_div_two 0.173030 s: complex.tan_add 0.030811 s: complex.tan_two_mul 0.078908 s: add_submonoid.closure_add_le 0.000485 s: turing.partrec_to_TM2.tr_cont._main.equations._eqn_1 0.000024 s: turing.partrec_to_TM2.tr_cont.equations._eqn_1 0.001162 s: slim_check.prod.sampleable._match_2.equations._eqn_1 0.002916 s: AddCommGroup.colimits.desc_fun_lift._main.equations._eqn_3 0.019830 s: polynomial.pow_sub_pow_factor._main._proof_1 0.003337 s: polynomial.pow_sub_pow_factor._main.equations._eqn_1 0.002386 s: category_theory.comonad_iso.to_nat_iso_inv 0.005004 s: multiplicative.monoid.equations._eqn_1 0.000027 s: turing.to_partrec.cont.halt.inj 0.000023 s: turing.to_partrec.cont.halt.inj_arrow 0.328310 s: algebraic_geometry.structure_sheaf_stalk_to_fiber_injective 0.061796 s: algebraic_geometry.structure_sheaf_stalk_to_fiber_surjective 0.001338 s: algebraic_geometry.stalk_iso_Type._proof_1 0.005692 s: nonempty_fin_lin_ord.elems 0.002306 s: nonempty_fin_lin_ord.complete 0.000068 s: nonempty_fin_lin_ord.to_fintype 0.000122 s: ulift.nonempty_fin_lin_ord._proof_1 0.000443 s: turing.init_list.equations._eqn_1 0.113853 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_2 0.001831 s: quotient_add_group.coe_neg 0.018978 s: free_magma.traverse._main 0.000101 s: free_magma.traverse 0.001248 s: wseq.lift_rel_o._main.equations._eqn_3 0.006033 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_1 0.003425 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_2 0.011722 s: algebraic_geometry.PresheafedSpace.to_restrict_top._match_1 0.004885 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_3 0.006530 s: algebraic_geometry.PresheafedSpace.to_restrict_top._match_2 0.003615 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_5 0.012420 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_7 0.109668 s: algebraic_geometry.PresheafedSpace.to_restrict_top._proof_8 0.059553 s: algebraic_geometry.PresheafedSpace.to_restrict_top 0.005153 s: category_theory.concrete_category.hom_ext 0.011877 s: algebraic_geometry.PresheafedSpace.restrict_top_iso._match_1 0.552666 s: algebraic_geometry.PresheafedSpace.restrict_top_iso._proof_4 0.010551 s: category_theory.prod.sectl._proof_1 0.007028 s: category_theory.prod.sectl._proof_2 0.002603 s: category_theory.prod.sectl 0.000656 s: category_theory.prod.sectl_obj 0.003316 s: category_theory.limits.is_image.fac_lift_assoc 0.000121 s: sum.is_left._sunfold 0.000737 s: linear_isometry.id._proof_1 0.001197 s: linear_isometry.id 0.000526 s: linear_isometry.coe_id 0.010956 s: category_theory.Type_to_Cat._proof_1 0.009222 s: category_theory.Type_to_Cat._proof_2 0.004759 s: category_theory.Type_to_Cat 0.457729 s: category_theory.grothendieck.grothendieck_Type_to_Cat._proof_8 0.001170 s: add_monoid_hom.range_subtype_val._proof_3 0.004150 s: lie_algebra.is_solvable.rec_on 0.000934 s: algebraic_geometry.SheafedSpace.sheaf_condition 0.000380 s: local_ring.is_unit_or_is_unit_one_sub_self 0.022845 s: local_of_surjective 0.000337 s: equiv.nontrivial 0.009666 s: ring_equiv.local_ring 0.002389 s: algebraic_geometry.Spec.LocallyRingedSpace._proof_2 0.000818 s: algebraic_geometry.Spec.LocallyRingedSpace 0.000512 s: algebraic_geometry.Spec.LocallyRingedSpace.equations._eqn_1 0.000059 s: tactic.simp_config.lift_eq 0.000280 s: topological_space.second_countable_topology.drec_on 0.002031 s: real.Inf_lt 0.000146 s: slim_check.total_function.list.to_finmap' 0.000136 s: slim_check.total_function.list.to_finmap'.equations._eqn_1 0.002668 s: slim_check.injective_function.mk._proof_1 0.001963 s: slim_check.injective_function.mk._proof_2 0.000190 s: slim_check.injective_function.mk._proof_3 0.001637 s: slim_check.injective_function.mk 0.000128 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton._proof_1 0.000043 s: linear_ordered_comm_ring.lt._default 0.000104 s: linear_ordered_comm_ring.lt._default.equations._eqn_1 0.001797 s: list.ne_nil_of_length_eq_succ 0.000085 s: list.last._main._proof_2 0.002081 s: list.last._main.equations._eqn_3 0.000338 s: list.last.equations._eqn_3 0.003483 s: list.last_repeat_succ 0.000255 s: io.fs.get_char._proof_1 0.000233 s: nnreal.has_zero.equations._eqn_1 0.000807 s: list.decidable_infix._main._proof_1 0.002016 s: list.decidable_infix._main.equations._eqn_1 0.007282 s: div_lt_one_of_neg 0.000373 s: nnreal.pi._proof_1 0.000239 s: nnreal.pi 0.000555 s: nnreal.coe_real_pi 0.001106 s: finset.is_greatest_max' 0.004122 s: is_greatest.union 0.001751 s: is_greatest.insert 0.001843 s: finset.max'_insert 0.000108 s: parser.many' 0.000178 s: parser.mono.many' 0.001872 s: category_theory.shrink_homs.category_theory.category_to_category_struct_id 0.000335 s: pSet.type._main.equations._eqn_1 0.000069 s: format.color.red.sizeof_spec 0.000114 s: turing.frespects._sunfold 0.000184 s: pmf.support 0.000450 s: pmf.mem_support_iff 0.000053 s: list.range_core.equations._eqn_2 0.011523 s: localization.monoid_of.equations._eqn_1 0.004334 s: category_theory.equalizer.first_obj_eq_family_hom 0.000254 s: set.mul_indicator_univ 0.000479 s: pos_num.add._main.equations._eqn_1 0.016664 s: category_theory.triangulated.rot_comp_inv_rot_hom.equations._eqn_1 0.001788 s: pfunctor.M.ichildren._proof_1 0.001584 s: matrix.transpose_reindex 0.008264 s: category_theory.limits.colimit.comp_cocone_point_unique_up_to_iso_hom_assoc 0.000908 s: qpf.cases_on 0.000453 s: equiv.ulift_apply 0.000168 s: fintype.card_eq_zero_equiv_equiv_pempty._proof_2 0.000103 s: fintype.card_eq_zero_equiv_equiv_pempty._proof_3 0.001511 s: fintype.card_pempty 0.001409 s: fintype.card_eq_zero_equiv_equiv_pempty._proof_4 0.002302 s: fintype.card_eq_zero_equiv_equiv_pempty._proof_5 0.001686 s: fintype.card_eq_zero_equiv_equiv_pempty._proof_6 0.001761 s: fintype.card_eq_zero_equiv_equiv_pempty 0.001933 s: fintype.card_eq_zero_equiv_equiv_pempty.equations._eqn_1 0.005265 s: power_series.mul_inv 0.004365 s: Top.presheaf.sheafify.is_germ.equations._eqn_1 0.000130 s: measurable_space.dynkin_system.inhabited 0.000382 s: generalized_continued_fraction.mk.inj_arrow 0.000704 s: filter.frequently_bot 0.000100 s: cardinal.is_regular 0.015549 s: cardinal.mul_lt_of_lt 0.000996 s: ordinal.sup_ord 0.000312 s: ordinal.cof_sup_le 0.006767 s: ordinal.sup_lt_ord 0.000896 s: ordinal.sup_lt 0.000432 s: cardinal.sup_lt_of_is_regular 0.001098 s: cardinal.sum_lt_of_is_regular 0.001268 s: category_theory.creates_colimit.cases_on 0.001058 s: category_theory.creates_colimit.no_confusion_type 0.000940 s: category_theory.creates_colimit.no_confusion 0.003397 s: nat.pow_dvd_of_le_of_pow_dvd 0.004165 s: int.pow_dvd_of_le_of_pow_dvd 0.000412 s: int.dvd_of_pow_dvd 0.000210 s: num.of_znum._main.equations._eqn_3 0.000160 s: option_t.orelse 0.000119 s: option_t.alternative 0.000491 s: option_t.bind_cont._main.equations._eqn_1 0.000337 s: option_t.bind_cont.equations._eqn_1 0.000205 s: option.bind._main.equations._eqn_1 0.000340 s: option.bind.equations._eqn_1 0.000353 s: option_t.bind_cont._main.equations._eqn_2 0.000258 s: option_t.bind_cont.equations._eqn_2 0.000901 s: option_t.run_pure 0.003630 s: option_t.run_map 0.066390 s: option_t.is_lawful_monad 0.000389 s: prod.semilattice_sup_bot._proof_1 0.000283 s: prod.semilattice_sup_bot._proof_2 0.003989 s: prod.semilattice_sup_bot._proof_3 0.000567 s: prod.semilattice_sup_bot._proof_4 0.000772 s: prod.semilattice_sup_bot._proof_5 0.000613 s: prod.semilattice_sup_bot._proof_6 0.000372 s: prod.semilattice_sup_bot._proof_7 0.000651 s: prod.semilattice_sup_bot._proof_8 0.010515 s: prod.semilattice_sup_bot 0.008258 s: prod.semilattice_sup_bot.equations._eqn_1 0.034272 s: category_theory.equivalence.unop.equations._eqn_1 0.000460 s: is_local_min.neg 0.010356 s: category_theory.subobject.lower_equivalence._proof_2 0.017297 s: category_theory.subobject.lower_equivalence._proof_3 0.006889 s: category_theory.subobject.lower_equivalence 0.002119 s: category_theory.subobject.lower_equivalence_functor 0.007615 s: algebraic_geometry.LocallyRingedSpace.Γ_obj 0.002059 s: smooth_on_fst 0.047007 s: asymptotics.is_O_with.add_is_o 0.005984 s: asymptotics.is_o.add_is_O_with 0.000196 s: order_embedding.is_well_order 0.000562 s: topological_space.opens.le_top._proof_1 0.044457 s: topological_space.opens.le_top 0.070755 s: pi_eq_generate_from 0.008320 s: turing.tm2_computable_in_time.sizeof 0.003998 s: measure_theory.outer_measure.comap_supr 0.002443 s: measure_theory.outer_measure.map_supr 0.004020 s: measure_theory.outer_measure.restrict_supr 0.000079 s: onote.top_below._main 0.000015 s: onote.top_below 0.001633 s: onote.NF_below_iff_top_below 0.000130 s: onote.decidable_NF._match_1 0.000315 s: onote.decidable_NF._aux_1 0.000198 s: onote.decidable_top_below 0.000488 s: onote.decidable_NF._main 0.000744 s: onote.decidable_NF._main.equations._eqn_2 0.017959 s: has_ftaylor_series_up_to_on.differentiable_at 0.000877 s: function.surjective.iterate 0.000271 s: function.bijective.iterate 0.000168 s: set.powerset.equations._eqn_1 0.000394 s: simple_graph.card_neighbor_set_eq_degree 0.000350 s: set.card_le_of_subset 0.002853 s: simple_graph.card_common_neighbors_le_degree_left 0.000338 s: simple_graph.matching.inhabited.equations._eqn_1 0.001560 s: fin_enum.pfun_fin_enum._proof_1 0.001287 s: prod.bounded_distrib_lattice._proof_10 0.002908 s: diffeomorph.coe_to_homeomorph 0.000199 s: int.add_lt_of_lt_sub_right 0.001031 s: contracting_with.efixed_point 0.000797 s: contracting_with.tendsto_iterate_efixed_point 0.002304 s: fin_enum.of_nodup_list._match_2 0.000478 s: fin_enum.of_nodup_list._proof_3 0.000880 s: fin_enum.of_nodup_list 0.000430 s: fin_enum.of_list._proof_1 0.000147 s: fin_enum.of_list 0.000043 s: fin_enum.pempty._proof_1 0.000065 s: fin_enum.pempty 0.000070 s: io.process.stdio.null.sizeof_spec 0.004317 s: category_theory.limits.cocone.equiv._proof_2 0.001983 s: category_theory.limits.cocone.equiv 0.000111 s: int.even.decidable_pred 0.001328 s: measure_theory.ae_eq_fun.integrable_zero 0.000313 s: comm_semigroup.cases_on 0.000207 s: comm_semigroup.no_confusion_type 0.000455 s: comm_semigroup.no_confusion 0.000655 s: comm_semigroup.mk.inj 0.000504 s: comm_semigroup.mk.inj_arrow 0.037461 s: continuous_top 0.007166 s: Top.trivial._proof_1 0.002484 s: Top.trivial._proof_2 0.002797 s: Top.trivial._proof_3 0.003485 s: Top.trivial 0.001936 s: Top.adj₂._proof_1 0.002973 s: Top.adj₂._proof_2 0.002467 s: Top.adj₂._proof_3 0.001342 s: Top.adj₂._proof_4 0.001765 s: Top.adj₂._proof_5 0.002441 s: Top.adj₂._proof_6 0.002834 s: Top.adj₂._proof_7 0.004085 s: Top.adj₂._proof_8 0.011778 s: Top.adj₂ 0.018548 s: Top.adj₂.equations._eqn_1 0.000169 s: filter.ptendsto' 0.000092 s: filter.rtendsto' 0.000148 s: filter.rtendsto'.equations._eqn_1 0.001000 s: filter.rcomap'.equations._eqn_1 0.005258 s: filter.rtendsto'_def 0.000450 s: filter.ptendsto'_def 0.001954 s: dfinsupp.map_range.add_equiv_apply 0.003950 s: typevec.rel_last'.equations._eqn_1 0.005919 s: locally_constant.add_monoid.equations._eqn_1 0.002186 s: filter.realizer.le_iff 0.016841 s: filter.realizer.ne_bot_iff 0.000329 s: lucas_lehmer.X.ωb 0.046522 s: fraction_map.mk'_eq_div 0.006242 s: semiconj_by.units_gpow_right 0.002564 s: equiv.subtype_preimage_symm_apply_coe_pos 0.000253 s: eq_false 0.001972 s: emetric.second_countable_of_almost_dense_set 0.000520 s: edist_le_coe 0.007994 s: metric.second_countable_of_almost_dense_set 0.002949 s: metric.second_countable_of_countable_discretization 0.000266 s: enat.card 0.000996 s: cardinal.mk_to_enat_eq_coe_card 0.000151 s: enat.card_eq_coe_fintype_card 0.000443 s: has_measurable_sub₂.dcases_on 0.000313 s: pos_num.lor._main.equations._eqn_2 0.000676 s: unitary_submonoid.equations._eqn_1 0.000507 s: tactic.itauto.proof.hyp.inj 0.053432 s: real.inner_le_Lp_mul_Lq 0.015156 s: real.inner_le_Lp_mul_Lq_of_nonneg 0.081854 s: complex.sin_three_mul 0.049657 s: real.sin_three_mul 0.000067 s: rat.add_left_cancel_semigroup 0.000053 s: rat.add_left_cancel_semigroup.equations._eqn_1 0.025174 s: polynomial.leading_coeff_X_pow_sub_C 0.003711 s: category_theory.limits.is_colimit.of_iso_colimit.equations._eqn_1 0.001504 s: open_embedding.singleton_charted_space_chart_at_eq 0.000492 s: with_one.ne_one_iff_exists 0.000145 s: with_one.can_lift._proof_1 0.002876 s: category_theory.monad.forget_creates_limits.cone_point.equations._eqn_1 0.000429 s: add_equiv.refl.equations._eqn_1 0.025442 s: category_theory.monad.monadicity_internal.unit_cofork_ι_app 0.031404 s: category_theory.over.iterated_slice_forward_forget 0.000160 s: slim_check.slim_check_cfg.sizeof 0.000166 s: slim_check.slim_check_cfg.mk.sizeof_spec 0.015942 s: is_closed.exists_minimal_nonempty_closed_subset 0.010556 s: is_closed.exists_closed_singleton 0.004798 s: category_theory.arrow.lift_struct.fac_left_assoc 0.002547 s: fin.cast.equations._eqn_1 0.000125 s: DFA.inhabited 0.000179 s: DFA.inhabited.equations._eqn_1 0.035088 s: Algebra.forget_reflects_isos.equations._eqn_1 0.001106 s: zsqrtd.integral_domain._proof_7 0.004820 s: list.Ico.filter_lt 0.002602 s: list.Ico.filter_lt_of_succ_bot 0.000989 s: list.Ico.filter_le_of_bot 0.000035 s: slim_check.large 0.000069 s: slim_check.large.inhabited 0.000099 s: slim_check.large.inhabited.equations._eqn_1 0.085524 s: complex.finite_dimensional.equations._eqn_1 0.011994 s: open_subgroup.rec_on 0.000394 s: asymptotics.is_o.is_equivalent 0.003033 s: linear_map.to_span_singleton_one 0.025254 s: linear_equiv.to_span_nonzero_singleton_one 0.024212 s: linear_equiv.coord_self 0.101662 s: continuous_linear_equiv.coord_self 0.000175 s: mvpfunctor.cases_on 0.000114 s: mvpfunctor.no_confusion_type 0.000520 s: mvpfunctor.no_confusion 0.000411 s: mvpfunctor.mk.inj 0.011499 s: mvpfunctor.mk.inj_eq 0.000575 s: direct_sum.grade_zero.has_mul.equations._eqn_1 0.000266 s: except_t.catch._match_1 0.000138 s: except_t.catch 0.008740 s: category_theory.with_initial.lift_unique._match_1 0.005764 s: category_theory.iso_has_right_lifting_property 0.000313 s: category_theory.id_has_right_lifting_property 0.000084 s: category_theory.id_has_right_lifting_property' 0.000376 s: category_theory.right_lifting_subcategory._proof_1 0.009427 s: is_R_or_C.abs_pos 1.174676 s: is_R_or_C.abs_re_div_abs_le_one 0.000286 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.sizeof 0.000101 s: _nest_1_1.list.tactic.tactic_script.sizeof 0.000047 s: _nest_1_1.tactic.tactic_script.sizeof 0.000047 s: _nest_1_1.tactic.tactic_script.has_sizeof_inst 0.000032 s: _nest_1_1.list.tactic.tactic_script.has_sizeof_inst 0.000416 s: _nest_1_1.list.tactic.tactic_script.cons.sizeof_spec 0.000642 s: function.semiconj.maps_to_fixed_pts 0.008877 s: CompHaus_to_Top.reflective.equations._eqn_1 0.008621 s: subfield.multiset_prod_mem 0.005606 s: intermediate_field.multiset_prod_mem 0.000147 s: ulift.topological_space 0.000724 s: derived_series_zero 0.014219 s: derived_series_succ 0.003888 s: subgroup.mem_map 0.017038 s: map_commutator_eq_commutator_map 0.007770 s: general_commutator_mono 0.021573 s: map_derived_series_le_derived_series 0.003158 s: monoid_hom.range_eq_map 0.001142 s: commutator_le_map_commutator 0.012804 s: derived_series_le_map_derived_series 0.002039 s: map_derived_series_eq 0.007228 s: implicit_function_data.cases_on 0.004120 s: implicit_function_data.no_confusion_type 0.000624 s: category_theory.limits.types.binary_product_cone_X 0.043127 s: typevec.repeat_eq_append1 0.000402 s: hahn_series.single.add_monoid_hom._proof_1 0.000317 s: zero_hom.to_fun_eq_coe 0.010639 s: hahn_series.single.add_monoid_hom._proof_2 0.000954 s: hahn_series.single.add_monoid_hom 0.000371 s: hahn_series.single.linear_map._proof_1 0.000785 s: hahn_series.single.add_monoid_hom_apply 0.010567 s: hahn_series.single.linear_map._proof_2 0.006262 s: hahn_series.single.linear_map 0.005281 s: hahn_series.single.linear_map.equations._eqn_1 0.000214 s: bifunctor.functor 0.000132 s: bitraversable.tsnd 0.000204 s: bitraversable.traversable 0.000191 s: bitraversable.tsnd.equations._eqn_1 0.003799 s: bitraversable.tsnd_eq_snd_id 0.001224 s: bitraversable.is_lawful_traversable._proof_4 0.004451 s: finset.sum_apply' 0.001804 s: is_simple_lattice.complete_boolean_algebra._proof_14 0.008084 s: is_linear_map.is_linear_map_neg 0.097888 s: convex.neg 0.013651 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso_inv 0.000374 s: abs_le_abs 0.000356 s: category_theory.limits.preserves_colimits.sizeof 0.000160 s: category_theory.limits.preserves_colimits.has_sizeof_inst 0.000375 s: monad_except_adapter.adapt_except 0.000612 s: simple_graph.max_degree 0.000305 s: simple_graph.max_degree.equations._eqn_1 0.004183 s: simple_graph.degree_le_max_degree 0.002057 s: tendsto_indicator_of_antimono 0.019468 s: ae_lt_of_lt_ess_inf 0.000072 s: tactic.dunfold_config.sizeof 0.011651 s: add_subgroup.subtype.equations._eqn_1 0.000103 s: preorder.is_total_preorder 0.000244 s: complex.equiv_real_prod._match_1 0.000066 s: nat.shiftr._sunfold 0.001551 s: direct_sum.grade_zero.comm_semiring._proof_5 0.000762 s: bilin_form_of_real_inner._proof_4 0.000697 s: add_monoid_hom.has_add.equations._eqn_1 0.099805 s: lie_submodule.quotient.lie_quotient_lie_module._proof_2 0.000273 s: function.is_fixed_pt.comp 0.000372 s: function.is_periodic_pt.add 0.016536 s: monoid_hom.lift_of_right_inverse_aux._proof_2 0.004089 s: monoid_hom.lift_of_right_inverse_aux 0.002973 s: monoid_hom.lift_of_right_inverse_aux.equations._eqn_1 0.000581 s: io.run_rand_with.equations._eqn_1 0.001942 s: subalgebra.nontrivial.equations._eqn_1 0.001445 s: UniformSpace.coe_id 0.000807 s: group_with_zero.div._default 0.000766 s: comm_group_with_zero.div._default 0.000570 s: linear_ordered_comm_group_with_zero.div._default 0.004625 s: category_theory.subobject.inf_def 0.088270 s: category_theory.subobject.map_pullback 0.032096 s: category_theory.subobject.inf_pullback 0.003994 s: finsupp.sum_finsupp_lequiv_prod_finsupp_apply 0.003805 s: order_iso.coe_to_homeomorph 0.003787 s: category_theory.limits.cofork.condition_assoc 0.006902 s: principal_seg.lt_equiv._proof_1 0.003271 s: principal_seg.lt_equiv 0.001295 s: principal_seg.lt_equiv.equations._eqn_1 0.000116 s: has_scalar.rec_on 0.000635 s: derived_series._main.equations._eqn_1 0.000123 s: derived_series.equations._eqn_1 0.000125 s: lazy_list.head._main 0.000115 s: lazy_list.head 0.077292 s: has_mfderiv_at.continuous_at 0.013953 s: cfilter.of_equiv.equations._eqn_1 0.000215 s: continuous_unop 0.006195 s: opposite.has_continuous_mul 0.000767 s: units.continuous_embed_product 0.004365 s: units.has_continuous_mul 0.003498 s: units.topological_group 0.003337 s: is_max_filter.comp_tendsto 0.000592 s: tendsto_nhds_within_mono_right 0.002256 s: is_local_max_on.comp_continuous_on 0.031436 s: general_commutator_normal.equations._eqn_1 0.000482 s: category_theory.retraction.equations._eqn_1 0.004644 s: continuous_map.add_equiv_bounded_of_compact_apply_to_continuous_map 0.078818 s: real.neg_sqrt_le_of_sqr_le 0.000050 s: tactic.rewrite_cfg.md._default 0.000081 s: tactic.rewrite_cfg.md._default.equations._eqn_1 0.000886 s: category_theory.limits.reflects_colimits_of_shape_of_nat_iso 0.000473 s: category_theory.limits.reflects_colimits_of_nat_iso 0.000554 s: category_theory.limits.reflects_colimits_of_nat_iso.equations._eqn_1 0.016681 s: continuous_linear_map.coe_subtype_val 0.000251 s: parser.bounded.and_then 0.000917 s: parser.bounded.many' 0.001809 s: quadratic_form.isometry.symm._proof_1 0.006095 s: measure_theory.measure.map_mono 0.001333 s: measure_theory.integrable_at_filter.equations._eqn_1 0.000634 s: metric.uniform_continuous_inf_dist_pt 0.002005 s: filter_basis.inhabited._proof_2 0.118370 s: convex_halfspace_re_le 0.082193 s: fraction_map.num.equations._eqn_1 0.001171 s: int.eq_one_of_mul_eq_one_right 0.000594 s: int.eq_one_of_mul_eq_one_left 0.000114 s: turing.pointed_map.inhabited._proof_1 0.000132 s: turing.pointed_map.inhabited 0.000304 s: turing.pointed_map.inhabited.equations._eqn_1 0.007429 s: has_continuous_mul_of_smooth 0.004417 s: topological_group_of_lie_group 0.138090 s: real.of_cauchy.sizeof_spec 0.001588 s: gsmul_of_nat 0.000099 s: boolean_ring.has_sup 0.000040 s: boolean_ring.has_inf 0.024238 s: boolean_ring.sup_inf_self 0.007268 s: affine.simplex.face_centroid_eq_centroid 0.000201 s: finset.centroid_weights_indicator 0.000204 s: finset.centroid_weights_indicator_def 0.000221 s: set.indicator_univ 0.004879 s: finset.sum_centroid_weights_indicator 0.001252 s: finset.sum_centroid_weights_indicator_eq_one_of_card_eq_add_one 0.089321 s: finset.centroid_eq_affine_combination_fintype 0.129692 s: affine.simplex.centroid_eq_iff 0.015881 s: affine.simplex.face_centroid_eq_iff 0.000768 s: finset.sup_mem 0.002843 s: structomorph.to_homeomorph 0.000590 s: pos_num.add._main.equations._eqn_2 0.000051 s: pos_num.add.equations._eqn_2 0.001011 s: category_theory.Monad.Mon_to_Monad_obj 0.000683 s: ordinal.lift._match_5.equations._eqn_1 0.000409 s: zsqrtd.is_unit_iff_norm_is_unit 0.036581 s: lie_algebra.orthogonal.type_D 0.038491 s: lie_algebra.orthogonal.so' 0.024631 s: lie_equiv.of_subalgebras._proof_1 0.026595 s: lie_equiv.of_subalgebras._proof_2 0.034165 s: lie_equiv.of_subalgebras._proof_3 0.050528 s: lie_equiv.of_subalgebras._proof_4 0.042065 s: lie_equiv.of_subalgebras._proof_5 0.040182 s: lie_equiv.of_subalgebras._proof_6 0.211539 s: lie_equiv.of_subalgebras 0.032092 s: lie_subalgebra.mem_map_submodule 0.004916 s: submodule.mem_map_equiv 0.001909 s: units.eq_mul_inv_iff_mul_eq 0.032386 s: matrix.is_adjoint_pair_equiv 0.886956 s: skew_adjoint_matrices_lie_subalgebra_equiv._proof_1 0.086600 s: skew_adjoint_matrices_lie_subalgebra_equiv 0.013135 s: matrix.from_blocks.equations._eqn_1 0.013059 s: matrix.from_blocks_transpose 0.012480 s: matrix.from_blocks_smul 0.002117 s: fintype.sum_sum_elim 0.001785 s: fintype.sum_sum_type 0.023719 s: matrix.from_blocks_multiply 0.000977 s: matrix.transpose_neg 0.012840 s: matrix.from_blocks_one 0.475471 s: lie_algebra.orthogonal.PD_inv 0.022353 s: lie_algebra.orthogonal.is_unit_PD 0.000999 s: lie_algebra.orthogonal.type_D_equiv_so'._proof_1 0.000180 s: lie_algebra.orthogonal.S 0.001053 s: lie_algebra.orthogonal.JD.equations._eqn_1 0.004697 s: matrix.diagonal_neg 0.006642 s: matrix.from_blocks_diagonal 0.005981 s: lie_algebra.orthogonal.S_as_blocks 0.196107 s: lie_algebra.orthogonal.JD_transform 0.001136 s: unit_of_invertible_val 0.025951 s: lie_subalgebra.mem_coe 0.224659 s: mem_skew_adjoint_matrices_lie_subalgebra_unit_smul 0.110692 s: lie_algebra.orthogonal.type_D_equiv_so'._proof_2 0.098740 s: lie_algebra.orthogonal.type_D_equiv_so' 0.001397 s: category_theory.limits.coequalizer_as_cokernel 0.057457 s: category_theory.limits.has_cokernel_comp_iso 0.034012 s: filter.germ.linear_ordered_add_comm_group.equations._eqn_1 0.003804 s: category_theory.exact.w_assoc 0.015908 s: category_theory.image_to_kernel_map_comp_right 0.016855 s: category_theory.exact_comp_mono 0.005216 s: list.reverse_suffix 0.000203 s: guardb._main 0.000030 s: guardb 0.005727 s: category_theory.is_split_coequalizer.is_coequalizer.equations._eqn_1 0.000212 s: Scott.is_open.equations._eqn_1 0.000318 s: omega_complete_partial_order.continuous'.equations._eqn_1 0.000073 s: and_implies 0.029195 s: complete_lattice.inf_continuous 0.042496 s: Scott.is_open_inter 0.020414 s: Scott.is_open_sUnion 0.000322 s: Scott.topological_space 0.000239 s: not_below.equations._eqn_1 0.000705 s: le_iff_imp 0.016718 s: not_below_is_open 0.000088 s: set.mem.equations._eqn_1 0.024264 s: Scott_continuous_of_continuous 0.000125 s: has_one.rec_on 0.007046 s: is_open_iff_ball_subset 0.000926 s: generalized_continued_fraction.int_fract_pair.stream._sunfold 0.001690 s: category_theory.differential_object.no_confusion_type 0.001380 s: category_theory.differential_object.no_confusion 0.001659 s: category_theory.differential_object.mk.inj 0.000641 s: subsemiring.no_confusion_type 0.000141 s: int.land._main 0.000421 s: int.land._main.equations._eqn_3 0.000829 s: pi.conditionally_complete_lattice._proof_6 0.000166 s: stream.drop.equations._eqn_1 0.001147 s: set.image_mul_right 0.000791 s: set.image_mul_right' 0.001267 s: set.preimage_mul_right_one 0.002240 s: set.preimage_mul_right_one' 0.008440 s: category_theory.monad.adj._proof_1 0.003704 s: category_theory.monad.free_obj_a 0.025383 s: category_theory.monad.adj._proof_2 0.023689 s: category_theory.monad.adj._proof_3 0.077959 s: category_theory.monad.adj._proof_4 0.066831 s: category_theory.monad.adj._proof_5 0.040274 s: category_theory.monad.adj 0.009286 s: category_theory.monadic_adjoint_triangle_lift._proof_1 0.006953 s: category_theory.monadic_adjoint_triangle_lift._proof_2 0.008273 s: category_theory.monadic_adjoint_triangle_lift._proof_3 0.001328 s: category_theory.monadic_adjoint_triangle_lift._proof_4 0.003916 s: category_theory.lift_adjoint.construct_left_adjoint 0.003142 s: category_theory.adjoint_triangle_lift._proof_1 0.003413 s: category_theory.adjoint_triangle_lift 0.046110 s: category_theory.monadic_adjoint_triangle_lift 0.051874 s: category_theory.monadic_adjoint_triangle_lift.equations._eqn_1 0.039506 s: tensor_product.add_comm_monoid.equations._eqn_1 0.000150 s: comp_add_left 0.009940 s: has_continuous_add.of_nhds_zero 0.007910 s: topological_add_group.of_nhds_zero' 0.005695 s: mat_poly_equiv_smul_one 0.000108 s: reader_t.failure 0.000534 s: forall_elim_eq_left 0.001815 s: measure_theory.measure.has_Inf.equations._eqn_1 0.004688 s: category_theory.limits.strong_epi_mono_factorisation.to_mono_is_image.equations._eqn_1 0.000518 s: pos_num.land._main.equations._eqn_4 0.000087 s: pos_num.land.equations._eqn_4 0.003112 s: fin.cast_trans 0.000421 s: mvpfunctor.const.get 0.001716 s: mvpfunctor.const.get_map 0.001580 s: is_lawful_monad_cont.call_cc_dummy 0.004498 s: option_t.is_lawful_monad_cont._proof_2 0.343973 s: real.uniform_continuous_mul_const 0.000180 s: measure_theory.simple_func.inhabited 0.000291 s: decidable_eq_inr_neg 0.033801 s: category_theory.monad.beck_cofork.equations._eqn_1 0.002894 s: typevec.const._sunfold 0.001082 s: sigma.ext_iff 0.001168 s: hahn_series.single.equations._eqn_1 0.001083 s: trivial_basic_smooth_bundle_core._proof_1 0.000967 s: trivial_basic_smooth_bundle_core._proof_2 0.002122 s: trivial_basic_smooth_bundle_core._proof_3 0.002341 s: trivial_basic_smooth_bundle_core 0.004389 s: trivial_basic_smooth_bundle_core.equations._eqn_1 0.000074 s: real.semiring.equations._eqn_1 0.019314 s: linear_ordered_field.cases_on 0.016082 s: linear_ordered_field.no_confusion_type 0.013483 s: linear_ordered_field.no_confusion 0.033267 s: linear_ordered_field.mk.inj 0.000212 s: fp.float.sign._main.equations._eqn_2 0.011045 s: linear_equiv.to_Module_iso_inv 0.012649 s: category_theory.comma.map_right_id._proof_1 0.035124 s: category_theory.comma.map_right_id._proof_2 0.013223 s: category_theory.comma.map_right_id._proof_3 0.035679 s: category_theory.comma.map_right_id._proof_4 0.189557 s: category_theory.comma.map_right_id._proof_5 0.208576 s: category_theory.comma.map_right_id._proof_6 0.034349 s: category_theory.comma.map_right_id 0.000173 s: order.pfilter.order_top._proof_1 0.000195 s: order.pfilter.order_top._proof_2 0.004128 s: order.pfilter.order_top._proof_3 0.000498 s: order.pfilter.order_top._proof_4 0.007131 s: order.pfilter.order_top._proof_5 0.007913 s: order.pfilter.order_top 0.001544 s: lie_module.is_irreducible.rec_on 0.000264 s: additive.of_mul.equations._eqn_1 0.001335 s: equiv.decidable.subset.decidable.mem.decidable._mutual._proof_5 0.000948 s: free_monoid.lift_comp_of 0.002516 s: free_monoid.lift_eval_of 0.062013 s: free_ring.coe_eq 0.009258 s: lattice.no_confusion_type 0.004701 s: lattice.no_confusion 0.005896 s: lattice.mk.inj 0.004523 s: lattice.mk.inj_arrow 0.000630 s: add_localization.away.add_equiv_of_quotient 0.000920 s: add_localization.away.add_equiv_of_quotient.equations._eqn_1 0.000832 s: category_theory.simple 0.000308 s: category_theory.simple.mono_is_iso_iff_nonzero 0.000403 s: category_theory.id_nonzero 0.002004 s: subalgebra.alg_hom.subsingleton 0.001797 s: subalgebra.alg_equiv.subsingleton_left 0.001765 s: nat.to_pnat'_coe 0.002139 s: int.can_lift_pnat._proof_1 0.000135 s: int.can_lift_pnat 0.000091 s: int.can_lift_pnat.equations._eqn_1 0.014424 s: has_ftaylor_series_up_to_on_top_iff 0.008707 s: category_theory.discrete.monoidal_category.equations._eqn_1 0.040918 s: fraction_map.denom.equations._eqn_1 0.000632 s: category_theory.left_adjoint.equations._eqn_1 0.010228 s: bifunctor.map_equiv._proof_1 0.002899 s: bifunctor.map_equiv._proof_2 0.000764 s: bifunctor.map_equiv 0.000803 s: bifunctor.map_equiv_apply 0.000684 s: normed_algebra.sizeof 0.000326 s: monad_functor_t 0.000188 s: monad_functor_t.monad_map 0.000298 s: monad_functor_t_trans 0.000364 s: monad_functor_t_trans.equations._eqn_1 0.001925 s: add_magma.free_add_semigroup.lift._proof_1 0.000241 s: add_magma.free_add_semigroup.lift 0.000458 s: free_add_semigroup_free_add_magma._proof_1 0.000262 s: add_magma.free_add_semigroup.induction_on 0.000258 s: add_magma.free_add_semigroup.lift_of 0.001076 s: free_add_magma.lift_of 0.000503 s: free_add_semigroup.lift_of 0.002463 s: free_add_semigroup_free_add_magma._proof_2 0.000676 s: add_magma.free_add_semigroup.lift_add 0.002081 s: free_add_semigroup_free_add_magma._proof_3 0.000602 s: free_add_semigroup_free_add_magma 0.000054 s: computation.promises 0.000287 s: computation.mem_of_promises 0.000720 s: add_monoid_hom.has_sub.equations._eqn_1 0.000444 s: one_lt_of_inv_inv 0.001632 s: lipschitz_with.dist_left 0.000383 s: lipschitz_with.dist 0.000314 s: add_comm_monoid.nsmul._default.equations._eqn_1 0.000590 s: add_units.add_left.equations._eqn_1 0.002197 s: measure_theory.Lp.has_coe_to_fun.equations._eqn_1 0.001352 s: category_theory.monoidal_functor.cases_on 0.000764 s: category_theory.monoidal_functor.no_confusion_type 0.001477 s: category_theory.monoidal_functor.no_confusion 0.001720 s: category_theory.monoidal_functor.mk.inj 0.003225 s: category_theory.monoidal_functor.mk.inj_eq 0.000748 s: norm_num.int_to_nat_pos 0.002597 s: is_lawful_bitraversable.binaturality 0.003300 s: bitraversable.is_lawful_traversable._proof_5 0.003070 s: library_note._1358483052 0.137107 s: interval_integral.norm_integral_le_integral_norm_Ioc 0.000209 s: ordnode.find_lt_aux._sunfold 0.137830 s: inner_product_space.to_dual_map._proof_1 0.545841 s: inner_product_space.to_dual_map._proof_2 0.660679 s: inner_product_space.to_dual_map._proof_3 0.170120 s: inner_product_space.to_dual_map 0.094177 s: inner_product_space.norm_to_dual_map_apply 0.212120 s: inner_product_space.to_dual_map_isometry 0.021906 s: continuous_linear_map.coe_zero 0.000526 s: inner_self_im_zero 0.009092 s: inner_self_conj 0.001114 s: continuous_linear_map.is_complete_ker 0.124556 s: inner_product_space.to_dual'_surjective 0.103825 s: inner_product_space.range_to_dual_map 0.534368 s: inner_product_space.to_dual 0.130362 s: inner_product_space.to_dual_apply 0.000185 s: filter.germ.has_scalar' 0.013703 s: filter.germ.coe_smul' 0.007330 s: filter.germ.mul_action'._proof_1 0.004144 s: filter.germ.mul_action'._proof_2 0.000478 s: filter.germ.mul_action' 0.000433 s: filter.germ.mul_action'.equations._eqn_1 0.001664 s: mul_inv_cancel_iff 0.001478 s: category_theory.limits.has_limit.iso_of_equivalence 0.001535 s: category_theory.limits.has_limit.iso_of_equivalence.equations._eqn_1 0.000170 s: TopCommRing.of 0.000148 s: TopCommRing.of.equations._eqn_1 0.000166 s: ordinal.univ_umax 0.000335 s: category_theory.with_terminal.of.inj 0.000790 s: dfinsupp.prod 0.005511 s: dfinsupp.support_mk_subset 0.006858 s: dfinsupp.support_zip_with 0.012156 s: dfinsupp.support_add 0.015442 s: dfinsupp.prod_add_index 0.003182 s: alternating_map.sizeof 0.003076 s: alternating_map.mk.sizeof_spec 0.010751 s: lazy_list.is_lawful_traversable._proof_3 0.000377 s: turing.partrec_to_TM2.Λ'.clear.inj 0.000193 s: turing.partrec_to_TM2.Λ'.clear.inj_arrow 0.000394 s: category_theory.epi_of_strong_epi.equations._eqn_1 0.000102 s: omega.ee_state.rec_on 0.000681 s: omega.int.is_nnf._main.equations._eqn_8 0.007971 s: equiv.perm.swap_factors_aux._sunfold 0.004146 s: category_theory.mem_ess_image_of_unit_is_iso 0.002430 s: con.map_of_surjective._proof_1 0.001376 s: con.map_of_surjective._proof_2 0.001259 s: con.map_of_surjective 0.003277 s: con.mul_ker_mk_eq 0.000121 s: con.comap._proof_1 0.001580 s: con.comap._proof_2 0.000813 s: con.comap 0.008552 s: con.correspondence._match_5 0.008678 s: con.correspondence._match_6 0.043326 s: con.correspondence._match_8 0.000179 s: expr.coord.no_confusion_type 0.007457 s: AddMon.sections_add_submonoid.equations._eqn_1 0.000284 s: prod.cancel_monoid._proof_3 0.000649 s: zsqrtd.has_one.equations._eqn_1 0.033868 s: is_principal_ideal_ring.dcases_on 0.000905 s: is_order_right_adjoint.right_mono 0.000529 s: is_simple_lattice.complete_boolean_algebra._proof_21 0.011124 s: linear_isometry_equiv.refl_trans 0.005088 s: linear_isometry_equiv.group._proof_2 0.000642 s: polynomial.iterated_deriv.equations._eqn_1 0.004101 s: polynomial.iterated_deriv_succ 0.001212 s: polynomial.iterated_deriv_X_one 0.001928 s: polynomial.derivative_zero 0.003432 s: polynomial.iterated_deriv_X 0.000949 s: is_lawful_bitraversable.const.equations._eqn_1 0.000396 s: list.kunion.equations._eqn_2 0.150019 s: _private.3981297311.lt._sunfold 0.000235 s: closure_Icc 0.026768 s: perfection.map._proof_1 0.054589 s: perfection.map._proof_3 0.030171 s: perfection.map._proof_4 0.033864 s: perfection.map._proof_5 0.033366 s: perfection.map 0.035598 s: perfection.map.equations._eqn_1 0.000236 s: prod.swap_surjective 0.000231 s: prod.swap_bijective 0.000261 s: category_theory.enough_projectives.drec 0.001322 s: gaussian_int.nontrivial 0.000348 s: snum.drec'._main.equations._eqn_1 0.000204 s: snum.drec'.equations._eqn_1 0.006685 s: ordnode.balanced_sz_up 0.003398 s: topological_vector_bundle.cases_on 0.076686 s: complex.arg_neg_I 0.186193 s: complex.log_neg_I 0.000061 s: tactic.ring2.horner_expr.has_add 0.030660 s: intermediate_field.fixed_field.algebra._proof_1 0.003808 s: intermediate_field.fixed_field.algebra._proof_2 0.006599 s: intermediate_field.fixed_field.algebra._proof_3 0.005178 s: intermediate_field.fixed_field.algebra._proof_4 0.009450 s: intermediate_field.fixed_field.algebra._proof_5 0.005653 s: intermediate_field.fixed_field.algebra._proof_6 0.116095 s: intermediate_field.fixed_field.algebra._proof_7 0.042089 s: intermediate_field.fixed_field.algebra._proof_8 0.208085 s: intermediate_field.fixed_field.algebra 0.042202 s: intermediate_field.fixed_field.is_scalar_tower 0.000089 s: option.iget._sunfold 0.000520 s: category_theory.limits.reflects_colimits_of_shape.no_confusion_type 0.005176 s: category_theory.limits.reflects_colimits_of_shape.no_confusion 0.001014 s: category_theory.limits.reflects_colimits_of_shape.mk.inj 0.002001 s: parser.decorate_errors_fail 0.000363 s: parser.decorate_error_fail 0.011695 s: pgame.short_add._main._pack.equations._eqn_1 0.001479 s: ordnode.drop_while._main 0.002576 s: is_subgroup.univ_subgroup.equations._eqn_1 0.004467 s: homological_complex.eq_to_hom_f 0.003079 s: homological_complex.eq_to_hom_f_assoc 0.000458 s: is_local_extr_on.comp_antimono 0.000122 s: order_dual.measurable_space.equations._eqn_1 0.000487 s: turing.partrec_to_TM2.tr_cont._main.equations._eqn_3 0.000048 s: turing.partrec_to_TM2.tr_cont.equations._eqn_3 0.000550 s: ordnode.erase_min._main.equations._eqn_2 0.011103 s: category_theory.comonad.comparison._proof_1 0.017714 s: category_theory.comonad.comparison._proof_2 0.015370 s: category_theory.comonad.comparison._proof_3 0.018159 s: category_theory.comonad.comparison._proof_4 0.013616 s: category_theory.comonad.comparison._proof_5 0.018464 s: category_theory.comonad.comparison._proof_6 0.062530 s: category_theory.comonad.comparison._proof_7 0.085700 s: category_theory.comonad.comparison._proof_8 0.174704 s: category_theory.comonad.comparison._proof_9 0.040801 s: category_theory.comonad.comparison 0.002691 s: category_theory.comonadic_left_adjoint 0.006706 s: category_theory.comonadic_left_adjoint.cases_on 0.003721 s: category_theory.comonadic_left_adjoint.no_confusion_type 0.003227 s: category_theory.comonadic_left_adjoint.no_confusion 0.001718 s: category_theory.comonadic_left_adjoint.mk.inj 0.000619 s: alist.mk.inj_eq 0.000765 s: add_units.coe_mk 0.000214 s: mv_power_series.equations._eqn_1 0.000198 s: is_open_map.equations._eqn_1 0.000530 s: simple_graph.dart.fintype._proof_1 0.004401 s: simple_graph.dart.fintype._proof_2 0.000125 s: simple_graph.dart.cases_on 0.001280 s: simple_graph.dart.ext 0.002122 s: simple_graph.dart.fintype._proof_3 0.001458 s: simple_graph.dart.fintype 0.000168 s: simple_graph.dart.no_confusion_type 0.000359 s: simple_graph.dart.no_confusion 0.000265 s: simple_graph.dart.mk.inj 0.000297 s: simple_graph.dart.mk.inj_arrow 0.001335 s: simple_graph.dart.decidable_eq 0.000343 s: simple_graph.dart_of_neighbor_set._proof_1 0.000928 s: simple_graph.dart_of_neighbor_set 0.007831 s: simple_graph.dart_fst_fiber 0.003100 s: simple_graph.dart_of_neighbor_set_injective 0.002474 s: simple_graph.dart_fst_fiber_card_eq_degree 0.004519 s: simple_graph.dart_card_eq_sum_degrees 0.000471 s: omega.int.is_nnf._main.equations._eqn_1 0.000092 s: string_imp.rec_on 0.000253 s: fintype.decidable_right_inverse_fintype 0.000305 s: fintype.decidable_right_inverse_fintype.equations._eqn_1 0.000237 s: hash_map.contains 0.002178 s: set.image2_Union_left 0.001222 s: language.supr_mul 0.000818 s: inducing.is_open_iff 0.001088 s: padic.lim_seq.equations._eqn_1 0.002392 s: list.prod_eq_foldr 0.000083 s: is_smul_regular 0.001309 s: is_smul_regular.of_smul 0.001423 s: is_smul_regular.of_mul 0.000705 s: is_smul_regular.smul 0.000953 s: is_smul_regular.mul 0.000837 s: is_smul_regular.mul_and_mul_iff 0.000688 s: rbnode.balance2._main.equations._eqn_5 0.000260 s: rbnode.balance2.equations._eqn_5 0.002082 s: plift.fintype._match_1.equations._eqn_1 0.000227 s: derive_fintype.finset_in.equations._eqn_1 0.000825 s: category_theory.limits.image_factorisation.rec_on 0.009006 s: finset.inf'_le 0.000276 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rw.inj_arrow 0.018026 s: pi.ordered_comm_group._proof_13 0.002231 s: uniform_space.comap._match_3.equations._eqn_1 0.012306 s: nhds_le_nhds_iff 0.093992 s: smooth_bump_covering.choice 0.010871 s: list.filter_map_cons_none 0.008921 s: list.filter_map_filter_map 0.000703 s: list.filter_filter_map 0.001301 s: multiset.filter_filter_map 0.003547 s: hahn_series.C.equations._eqn_1 0.001107 s: intermediate_value_univ₂_eventually₂ 0.002561 s: is_preconnected.intermediate_value₂_eventually₂ 0.002962 s: is_preconnected.intermediate_value_Iio 0.001196 s: is_open_Inter 0.001717 s: Pi.discrete_topology 0.001627 s: Pi.discrete_topology.equations._eqn_1 0.000107 s: pi.semilattice_inf_top._proof_1 0.000137 s: pi.semilattice_inf_top._proof_2 0.000345 s: pi.semilattice_inf_top._proof_3 0.000342 s: pi.semilattice_inf_top._proof_4 0.000677 s: pi.semilattice_inf_top._proof_5 0.000560 s: pi.semilattice_inf_top._proof_6 0.000580 s: pi.semilattice_inf_top._proof_7 0.000705 s: pi.semilattice_inf_top._proof_8 0.003750 s: pi.semilattice_inf_top._proof_9 0.004758 s: pi.semilattice_inf_top._proof_10 0.004961 s: pi.semilattice_inf_top._proof_11 0.006346 s: pi.semilattice_inf_top._proof_12 0.007307 s: pi.semilattice_inf_top 0.010167 s: pi.semilattice_inf_top.equations._eqn_1 0.016971 s: function.surjective.ring.equations._eqn_1 0.004500 s: ite_eq_tt_distrib 0.001092 s: multiset.zero_ndinter 0.000091 s: monotonicity.and 0.000097 s: int.mul._sunfold 0.217797 s: filter.tendsto.at_bot_mul 0.028732 s: filter.tendsto.mul_at_bot 0.005939 s: set.Ioc_union_Ioc_left 0.007057 s: enat.linear_ordered_add_comm_monoid_with_top.equations._eqn_1 0.005004 s: set.pi_if 0.006119 s: pi.distrib_mul_action'._proof_1 0.001248 s: pi.distrib_mul_action' 0.005433 s: filter.germ.distrib_mul_action'._proof_1 0.003765 s: filter.germ.distrib_mul_action'._proof_2 0.000776 s: filter.germ.distrib_mul_action' 0.001431 s: filter.germ.distrib_mul_action'.equations._eqn_1 0.009462 s: module.dual.transpose._proof_1 0.009389 s: module.dual.transpose._proof_2 0.004757 s: module.dual.transpose._proof_3 0.004083 s: module.dual.transpose._proof_4 0.012560 s: module.dual.transpose._proof_5 0.426804 s: module.dual.transpose 0.298467 s: module.dual.transpose_comp 0.007072 s: ring_equiv.image_eq_preimage 0.002201 s: linear_map.range_le_bot_iff 0.000262 s: set.has_subset.equations._eqn_1 0.000041 s: int.distrib.equations._eqn_1 0.011815 s: lie_submodule.hom_of_le._proof_3 0.000149 s: equiv.sum_empty._proof_2 0.015422 s: canonically_ordered_monoid.mul_le_mul_left 0.001701 s: canonically_ordered_monoid.to_ordered_comm_monoid 0.024193 s: canonically_ordered_monoid.le_iff_exists_mul 0.000988 s: le_iff_exists_mul 0.000302 s: canonically_ordered_monoid.has_exists_mul_of_le 0.000466 s: canonically_ordered_monoid.has_exists_mul_of_le.equations._eqn_1 0.006804 s: set.mul_indicator_eq_one 0.000816 s: function.mul_support_subset_iff' 0.002236 s: function.mul_support_eq_empty_iff 0.000266 s: function.mul_support_one' 0.000262 s: function.mul_support_one 0.000803 s: set.mul_indicator_one 0.067890 s: ring.direct_limit.lift._proof_1 0.000271 s: direct_sum.gmonoid.has_sizeof_inst 0.008653 s: direct_sum.gcomm_monoid.sizeof 0.008328 s: direct_sum.gcomm_monoid.mk.sizeof_spec 0.000537 s: int.lnot._main.equations._eqn_2 0.018930 s: continuous_multilinear_map.uncurry_sum._proof_1 0.017324 s: continuous_multilinear_map.uncurry_sum._proof_2 0.000886 s: continuous_multilinear_map.uncurry_sum._proof_3 0.060160 s: continuous_multilinear_map.uncurry_sum._proof_6 0.026464 s: continuous_multilinear_map.uncurry_sum._proof_7 0.000317 s: continuous_multilinear_map.uncurry_sum._proof_8 0.247482 s: continuous_multilinear_map.uncurry_sum._proof_9 0.109947 s: continuous_multilinear_map.uncurry_sum 0.109947 s: continuous_multilinear_map.uncurry_sum_apply 0.000353 s: padic_int.has_one.equations._eqn_1 0.010374 s: pos_num.cast_inj 0.046764 s: num.of_znum'_to_nat 0.000542 s: rbnode.balance1._main.equations._eqn_7 0.000130 s: decidable_lt_of_decidable_le._main._proof_1 0.000073 s: decidable_lt_of_decidable_le._main._proof_2 0.000634 s: decidable_lt_of_decidable_le._main.equations._eqn_1 0.004732 s: int.nat_abs_gcd 0.000577 s: turing.fin_tm2.cases_on 0.006933 s: turing.fin_tm2.no_confusion_type 0.003314 s: turing.fin_tm2.no_confusion 0.004697 s: turing.fin_tm2.mk.inj 0.014436 s: turing.fin_tm2.mk.inj_eq 0.000358 s: finsupp.semilattice_inf_bot._proof_1 0.000171 s: pgame.equiv_congr_right 0.000377 s: parser.step.decorate_errors 0.000109 s: parser.step.decorate_error 0.000149 s: parser.step.and_then 0.000158 s: parser.static.eps 0.000199 s: parser.step.ch 0.000029 s: parser.prog.ch 0.000066 s: rbtree.empty 0.000138 s: rbmap.empty 0.053633 s: algebra.tensor_product.rid._proof_1 0.074893 s: algebra.tensor_product.rid._proof_2 0.066608 s: algebra.tensor_product.rid 0.009605 s: asymptotics.is_o.prod_left_snd 0.000097 s: fin.inhabited.equations._eqn_1 0.003923 s: multiset.Ico.filter_lt_of_le_bot 0.003418 s: finset.Ico.filter_lt_of_le_bot 0.000704 s: slim_check.testable.check._match_2.equations._eqn_3 0.000124 s: slim_check.testable.check'._match_1 0.000100 s: slim_check.slim_check_cfg.random_seed 0.000093 s: slim_check.testable.check' 0.000104 s: slim_check.testable.check'.equations._eqn_1 0.000268 s: category_theory.abelian.is_iso_of_mono_of_epi 0.000357 s: cSup_Ioo 0.000926 s: add_submonoid.to_linear_ordered_cancel_add_comm_monoid._proof_1 0.000096 s: psigma.decidable_eq 0.000294 s: psigma.decidable_eq.equations._eqn_1 0.000861 s: nat.has_variable_names._proof_1 0.001009 s: ordnode.erase_max._main 0.000025 s: ordnode.erase_max 0.001695 s: ordnode.balance_r.equations._eqn_1 0.055369 s: ordnode.dual_balance_l 0.002131 s: ordnode.dual_balance_r 0.004322 s: ordnode.erase_max._main.equations._eqn_3 0.000201 s: ordnode.erase_max.equations._eqn_3 0.006530 s: ordnode.dual_erase_min 0.000264 s: closure_operator.no_confusion_type 0.000557 s: closure_operator.no_confusion 0.000634 s: closure_operator.mk.inj 0.001224 s: ctop.coe_mk 0.000161 s: nzsnum.not._main.equations._eqn_1 0.000200 s: roption.has_mem.equations._eqn_1 0.004324 s: category_theory.under.hom_mk.equations._eqn_1 0.002287 s: add_order_of_nsmul_eq_zero 0.002777 s: add_order_of_le_of_nsmul_eq_zero' 0.001251 s: add_order_of_le_of_nsmul_eq_zero 0.006562 s: sum_card_add_order_of_eq_card_nsmul_eq_zero 0.001585 s: mem_omega_limit_iff_frequently₂ 0.000695 s: con.has_Inf.equations._eqn_1 0.002413 s: finset.order_emb_of_fin_eq_order_emb_of_fin_iff 0.020611 s: submonoid.localization_map.to_ring_localization.equations._eqn_1 0.010972 s: linear_map.comp_der._proof_1 0.002116 s: category_theory.lifts_to_colimit_of_creates 0.001840 s: category_theory.lifts_to_colimit_of_creates.equations._eqn_1 0.075525 s: Icc_right_chart._proof_2 0.008941 s: finset.disjoint_insert_left 0.004843 s: associates.count_reducible 0.000088 s: nzsnum.not.equations._eqn_1 0.000750 s: cau_seq.is_complete.mk.inj 0.010434 s: lie_module_equiv.symm.equations._eqn_1 0.011581 s: nat.dist_tri_left 0.001721 s: nat.dist_tri_right 0.003309 s: nat.dist_comm 0.000160 s: nat.dist_tri_left' 0.000272 s: nat.dist_tri_right' 0.334944 s: ordnode.valid'.balance'_lemma 0.026322 s: ordnode.valid'.balance' 0.001767 s: category_theory.limits.is_terminal.of_unique 0.002183 s: category_theory.limits.is_terminal.of_unique.equations._eqn_1 0.005213 s: subgroup.has_Inf.equations._eqn_1 0.001239 s: set.piecewise_le 0.001919 s: set.le_piecewise 0.003165 s: set.piecewise_mem_Icc 0.001458 s: set.piecewise_mem_Icc' 0.040050 s: continuous_linear_map.lmul_right.equations._eqn_1 0.008179 s: pi.comm_monoid_with_zero._proof_2 0.002321 s: category_theory.adjunction.is_equivalence_preserves_limits.equations._eqn_1 0.000070 s: Class.univ 0.000085 s: Class.univ.equations._eqn_1 0.074769 s: uniform_continuous_of_rat 0.014004 s: palindrome.drec 0.000222 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_19 0.085753 s: adic_completion.of._proof_1 0.095840 s: adic_completion.of._proof_2 0.115055 s: adic_completion.of._proof_3 0.127339 s: adic_completion.of 0.103986 s: adic_completion.eval_of 0.000106 s: parser.many_char1 0.000442 s: parser.static.foldr 0.000081 s: parser.static.many 0.000393 s: parser.static.many1 0.000099 s: parser.static.many_char1 0.000169 s: slim_check.int_lt.sampleable._match_1 0.017838 s: initial_seg.cod_restrict.equations._eqn_1 0.003294 s: multiset.powerset_len_zero_left 0.000734 s: monoid.mfoldr.of_free_monoid 0.003882 s: add_equiv.symm_symm 0.000482 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_3 0.000318 s: znum.mul._main.equations._eqn_2 0.000399 s: algebra.to_comap._proof_1 0.000637 s: tactic.itauto.proof.or_inr.inj 0.000160 s: tactic.itauto.proof.or_inr.inj_eq 0.002272 s: direct_sum.from_add_monoid 0.595728 s: CommGroup.limit_comm_group.equations._eqn_1 0.013057 s: direct_sum.gcomm_monoid.of_add_submonoids.equations._eqn_1 0.000296 s: category_theory.abelian.pseudoelement.setoid.equations._eqn_1 0.099064 s: alg_hom.fintype.equations._eqn_1 0.019303 s: matrix.vec_head_vec_alt0 0.002579 s: add_submonoid.localization_map.add_equiv_of_localizations_apply 0.002785 s: category_theory.limits.split_mono_coprod_inl._proof_1 0.000117 s: tactic.unfold_config 0.000060 s: tactic.unfold_config.inhabited 0.001285 s: ordnode.insert_with._main 0.000074 s: ordnode.insert_with 0.000544 s: ordnode.insert_with._main.equations._eqn_1 0.000118 s: ordnode.insert_with.equations._eqn_1 0.007190 s: category_theory.half_braiding.mk.sizeof_spec 0.003905 s: prod.group.equations._eqn_1 0.000164 s: zsqrtd.le.equations._eqn_1 0.000205 s: omega.nat.preform.le.inj 0.002969 s: subring.multiset_prod_mem 0.000490 s: quotient.decidable_eq._match_1.equations._eqn_2 0.001420 s: list.cons_head'_tail 0.000439 s: list.head_mem_head' 0.000090 s: list.cons_head_tail 0.005635 s: mv_polynomial.rename_equiv_refl 0.100251 s: alg_hom.restrict_normal_aux.equations._eqn_1 0.000692 s: category_theory.grothendieck.no_confusion_type 0.018030 s: enorm.sizeof 0.007655 s: enorm.mk.sizeof_spec 0.000912 s: submodule.has_add.equations._eqn_1 0.000272 s: ordnode.any._main.equations._eqn_1 0.000065 s: ordnode.any.equations._eqn_1 0.000239 s: nhds_within_Iic_is_measurably_generated 0.013940 s: interval_integral.FTC_filter.nhds_left 0.002106 s: category_theory.liftable_cocone.cases_on 0.000959 s: category_theory.liftable_cocone.no_confusion_type 0.002882 s: category_theory.liftable_cocone.no_confusion 0.002247 s: category_theory.liftable_cocone.mk.inj 0.002465 s: category_theory.liftable_cocone.mk.inj_arrow 0.000797 s: slim_check.sampleable_bifunctor.sizeof 0.001396 s: slim_check.sampleable_bifunctor.mk.sizeof_spec 0.000144 s: nat.canonically_linear_ordered_add_monoid._proof_7 0.000282 s: unique.exists_iff 0.000649 s: prod.rprod.drec_on 0.009506 s: function.injective.ordered_comm_monoid.equations._eqn_1 0.002205 s: typevec.of_repeat._main.equations._eqn_2 0.000961 s: typevec.of_repeat.equations._eqn_2 0.000870 s: monoid.rec_on 0.000072 s: string.iterator.prev_to_string._main 0.000012 s: string.iterator.prev_to_string 0.000016 s: string.iterator.prevn 0.000025 s: string.popn_back 0.000047 s: string.popn_back.equations._eqn_1 0.000491 s: prod.map_comp_map 0.000145 s: prod.has_Inf 0.017981 s: prod.complete_lattice._proof_16 0.002711 s: alg_equiv.comap._proof_1 0.003421 s: nonempty_fin_lin_ord.decidable_le 0.001073 s: nonempty_fin_lin_ord.decidable_eq 0.000572 s: nonempty_fin_lin_ord.to_linear_order 0.000095 s: NonemptyFinLinOrd.nonempty_fin_lin_ord.to_linear_order.category_theory.bundled_hom.parent_projection 0.001785 s: primrec.option_get_or_else 0.006304 s: unique_factorization_monoid.to_gcd_monoid.equations._eqn_1 0.001093 s: exp_char 0.001159 s: exp_char.dcases_on 0.007506 s: char_p.of_char_zero 0.000665 s: char_zero_of_exp_char_one 0.001413 s: exp_char_one_of_char_zero 0.000292 s: exp_char_one_iff_char_zero 0.146436 s: pre_tilt.integral_domain._proof_11 0.000210 s: formal_multilinear_series.id 0.029412 s: formal_multilinear_series.id_apply_one 0.007451 s: formal_multilinear_series.id_apply_one' 0.000331 s: le_has_sum' 0.001855 s: has_sum_zero_iff 0.000863 s: tsum_eq_zero_iff 0.009705 s: nat.modeq.coprime_of_mul_modeq_one 0.001334 s: fin.val_mul 0.005490 s: zmod.val_mul 0.005732 s: zmod.nat_cast_mod 0.019082 s: zmod.val_coe_unit_coprime 0.004113 s: zmod.units_equiv_coprime._match_1 0.001438 s: zmod.units_equiv_coprime._match_1.equations._eqn_1 1.072634 s: category_theory.grothendieck.grothendieck_Type_to_Cat._proof_9 0.000236 s: option_t.monad_except 0.065904 s: dual_pair.cases_on 0.058184 s: dual_pair.no_confusion_type 0.000804 s: list.ordered_insert._main.equations._eqn_1 0.000128 s: list.ordered_insert.equations._eqn_1 0.000393 s: is_smul_regular.one 0.000420 s: is_smul_regular.smul_iff 0.011776 s: is_smul_regular.pow 0.000129 s: units.has_repr 0.000327 s: units.has_repr.equations._eqn_1 0.000226 s: category_theory.limits.has_zero_morphisms_punit._proof_1 0.007272 s: continuous_linear_map.sub_apply' 0.000848 s: category_theory.equivalence.trans_inverse 0.000063 s: num.rec_on 0.118854 s: ennreal.inner_le_Lp_mul_Lq 0.012528 s: units.mul_right_eq_zero 0.001319 s: is_unit.mul_right_eq_zero 0.006643 s: ordinal.monoid._match_3.equations._eqn_1 0.002394 s: generalized_continued_fraction.exists_gcf_pair_rat_eq_nth_conts 0.087266 s: generalized_continued_fraction.exists_rat_eq_nth_numerator 0.075615 s: generalized_continued_fraction.exists_rat_eq_nth_denominator 0.064658 s: generalized_continued_fraction.exists_rat_eq_nth_convergent 0.000860 s: direct_sum.set_to_set._proof_1 0.000091 s: subtype.rec_on 0.016380 s: add_subgroup.closure_induction' 0.001861 s: equiv.pnat_equiv_nat._match_1 0.000720 s: omega.int.preform.fresh_index._main.equations._eqn_1 0.001462 s: matrix.ring_hom_map_zero 0.013026 s: category_theory.lax_monoidal_functor.comp.equations._eqn_1 0.002767 s: category_theory.limits.cones.whiskering_equivalence_functor 0.000051 s: fin2.has_sizeof_inst 0.001604 s: mvpfunctor.W_path.sizeof 0.002004 s: mvpfunctor.W_path.root.sizeof_spec 0.000926 s: pow_ite 0.000600 s: pow_boole 0.000125 s: computability.unary_encode_nat._main.equations._eqn_1 0.000058 s: computability.unary_encode_nat.equations._eqn_1 0.002385 s: set.prod_eq_seq 0.001001 s: set.image_seq 0.002727 s: set.prod_image_seq_comm 0.003501 s: filter.prod_map_seq_comm 0.002743 s: filter.is_comm_applicative 0.002388 s: filter.is_comm_applicative.equations._eqn_1 0.066988 s: function.injective.integral_domain._proof_10 0.000141 s: fin.has_le.equations._eqn_1 0.000489 s: turing.TM2.cfg.inhabited 0.000305 s: turing.partrec_to_TM2.cfg'.inhabited 0.000247 s: omega.int.neg_free._main.equations._eqn_3 0.011391 s: bundle_trivialization.rec_on 0.006712 s: CommGroup.category_theory.limits.has_zero_object._proof_1 0.000472 s: equiv.equiv_empty.equations._eqn_1 0.000356 s: has_dist.mk.sizeof_spec 0.002352 s: category_theory.lax_braided_functor.comp._proof_1 0.001134 s: polynomial.supp_subset_range_nat_degree_succ 0.000284 s: polynomial.card_supp_le_succ_nat_degree 0.000162 s: list.merge_sort._main.equations._eqn_2 0.006678 s: differentiable_within_at.add 0.000957 s: differentiable_on.add 0.000451 s: writer_t.bind 0.000791 s: writer_t.monad 0.000496 s: writer_t.bind.equations._eqn_1 0.000139 s: writer_t.no_confusion_type 0.000544 s: writer_t.no_confusion 0.000241 s: writer_t.mk.inj 0.000236 s: writer_t.mk.inj_eq 0.000350 s: writer_t.ext 0.131570 s: writer_t.is_lawful_monad 0.002749 s: category_theory.limits.cokernel_iso_of_eq._proof_1 0.002717 s: category_theory.limits.cokernel_iso_of_eq 0.003100 s: category_theory.limits.cokernel_iso_of_eq.equations._eqn_1 0.002655 s: group_with_zero.div._default.equations._eqn_1 0.004136 s: set.Iio_subset_Iic_union_Ioo 0.000299 s: set.Iio_subset_Iic_union_Ico 0.000790 s: list.mfoldl_nil 0.002515 s: list.mfoldl_eq_foldl 0.000840 s: Algebra.mk.inj 0.001604 s: Algebra.mk.inj_eq 0.000430 s: lazy_list.of_list._main.equations._eqn_1 0.000183 s: pos_num.lor._main.equations._eqn_1 0.000168 s: shelf_hom.id.equations._eqn_1 0.000070 s: rat.comm_semigroup.equations._eqn_1 0.000016 s: lint_verbosity.medium.inj 0.002414 s: list.measurable_sum' 0.001193 s: list.measurable_sum 0.000274 s: slim_check.list.shrink_one.equations._eqn_1 0.000365 s: turing.partrec_to_TM2.Λ'.clear.inj_eq 0.109332 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso.equations._eqn_1 0.000084 s: list.bor 0.000060 s: list.bor.equations._eqn_1 0.000423 s: quotient_group.quotient.comm_group._proof_1 0.000301 s: quotient_group.quotient.comm_group._proof_2 0.000179 s: quotient_group.quotient.comm_group._proof_3 0.015714 s: quotient_group.quotient.comm_group._proof_4 0.002552 s: quotient_group.quotient.comm_group._proof_6 0.000664 s: quotient_group.quotient.comm_group._proof_7 0.007480 s: quotient_group.quotient.comm_group._proof_8 0.002276 s: quotient_group.quotient.comm_group 0.000079 s: int.gcd_b._main 0.000012 s: int.gcd_b 0.001675 s: int.gcd_b._main.equations._eqn_1 0.000060 s: int.gcd_b.equations._eqn_1 0.003872 s: has_strict_fderiv_at.image_mem_to_local_homeomorph_target 0.002325 s: has_strict_fderiv_at.to_local_homeomorph_coe 0.002463 s: has_strict_fderiv_at.local_inverse_apply_image 0.006582 s: has_strict_fderiv_at.to_local_inverse 0.005260 s: has_strict_fderiv_at.to_local_left_inverse 0.000595 s: lucas_lehmer.X.ω 0.000154 s: list.has_dec_eq._match_2._proof_2 0.000166 s: cardinal.is_equivalent.equations._eqn_1 0.000260 s: quiver.wide_subquiver.has_top.equations._eqn_1 0.000880 s: set.nonempty.image2 0.000272 s: set.nonempty.add 0.001236 s: filter.ne_bot.add 0.000360 s: int.lor._main.equations._eqn_2 0.000062 s: int.lor.equations._eqn_2 0.005792 s: category_theory.shrink_homs.equivalence_counit_iso_hom_app 0.002303 s: nonempty_fin_lin_ord.le_top 0.004140 s: lie_ideal.incl.equations._eqn_1 0.001728 s: convex_on.subset 0.000371 s: category_theory.with_terminal.id._main.equations._eqn_2 0.000161 s: category_theory.with_terminal.id.equations._eqn_2 0.001723 s: lie_ideal.map.equations._eqn_1 0.001331 s: pgame.lt_def 0.002015 s: pgame.zero_lt 0.000028 s: omega.int.is_nnf 0.000070 s: omega.int.is_nnf.equations._eqn_1 0.001483 s: vector.map_accumr₂._main._proof_1 0.000061 s: quaternion_group.inhabited 0.005333 s: linarith.int.coe_nat_bit1 0.002815 s: nat.proper_divisors.not_self_mem 0.218657 s: polynomial.prod_cyclotomic_eq_X_pow_sub_one 0.083297 s: polynomial.cyclotomic_eq_X_pow_sub_one_div 0.051003 s: polynomial.eq_cyclotomic_iff 0.015335 s: nat.prime.divisors 0.001006 s: finset.insert_singleton_comm 0.000761 s: nat.prime.proper_divisors 0.066533 s: polynomial.int_cyclotomic_unique 0.060358 s: polynomial.cyclotomic_one 0.028892 s: polynomial.cyclotomic_eq_geom_sum 0.000145 s: measurable_set.equations._eqn_1 0.000079 s: real.log_exp 0.002463 s: real.surj_on_log 0.000293 s: quiver.has_reverse.cases_on 0.000275 s: quiver.has_reverse.no_confusion_type 0.000516 s: quiver.has_reverse.no_confusion 0.000522 s: quiver.has_reverse.mk.inj 0.000291 s: quiver.has_reverse.mk.inj_arrow 0.005204 s: ordered_semimodule.cases_on 0.000352 s: roption.fix.approx._sunfold 0.000209 s: measure_theory.simple_func.has_neg.equations._eqn_1 0.006246 s: lie_subalgebra.subset_lie_span 0.003569 s: lie_subalgebra.submodule_span_le_lie_span 0.000411 s: pi.ordered_add_comm_group._proof_8 0.000486 s: shelf_hom.no_confusion_type 0.000625 s: shelf_hom.no_confusion 0.001333 s: shelf_hom.mk.inj 0.000447 s: shelf_hom.mk.inj_arrow 0.001891 s: shelf_hom.ext_iff 0.000242 s: monoid_hom.to_one_hom 0.000192 s: one_hom.to_fun 0.000120 s: one_hom.has_coe_to_fun 0.000298 s: one_hom.cases_on 0.001363 s: one_hom.coe_inj 0.000372 s: one_hom.ext 0.000441 s: one_hom.ext_iff 0.000806 s: monoid_hom.to_one_hom_injective 0.000166 s: pnat.has_well_founded._proof_1 0.001341 s: pnat.has_well_founded 0.000680 s: pnat.strong_induction_on 0.022736 s: category_theory.center.associator_inv_f 0.000440 s: psum.alt.sizeof._main.equations._eqn_2 0.003037 s: measure_theory.ae_eq_fun.has_sub.equations._eqn_1 0.000025 s: doc_category.cmd.inj 0.007804 s: finsupp.sum_finsupp_lequiv_prod_finsupp.equations._eqn_1 0.005057 s: category_theory.equiv_yoneda'.equations._eqn_1 0.000761 s: category_theory.Aut.iso_perm._proof_1 0.000500 s: category_theory.Aut.iso_perm._proof_2 0.000367 s: category_theory.Aut.iso_perm._proof_3 0.000394 s: category_theory.Aut.iso_perm._proof_4 0.039423 s: category_theory.Aut.iso_perm._proof_5 0.052768 s: category_theory.Aut.iso_perm._proof_6 0.017773 s: category_theory.Aut.iso_perm 0.007687 s: category_theory.Aut.iso_perm.equations._eqn_1 0.000227 s: cont_t.monad_cont 0.001048 s: cont_t.is_lawful_monad_cont._proof_1 0.002698 s: lie_module_hom.sizeof 0.004372 s: lie_module_hom.mk.sizeof_spec 0.214042 s: padic_norm.padic_norm_p 0.124563 s: padic_norm.padic_norm_p_lt_one 0.000050 s: expr_lens.dir.F.inj 0.000027 s: expr_lens.dir.F.inj_arrow 0.000443 s: free_add_semigroup.map_of 0.016677 s: ring_quot.algebra.equations._eqn_1 0.005932 s: category_theory.lax_braided_functor.mk_iso.equations._eqn_1 0.003305 s: category_theory.kleisli.adjunction.from_kleisli._proof_1 0.008577 s: category_theory.kleisli.adjunction.from_kleisli._proof_2 0.003160 s: category_theory.kleisli.adjunction.from_kleisli 0.003633 s: category_theory.kleisli.adjunction.from_kleisli_map 0.000069 s: functor.const.run 0.000206 s: functor.const.run.equations._eqn_1 0.029524 s: prime_spectrum.zero_locus_bot 0.049095 s: linear_isometry_equiv.trans_assoc 0.001276 s: linear_isometry_equiv.group._proof_1 0.011818 s: linear_isometry_equiv.group._proof_3 0.000493 s: linear_isometry_equiv.group._proof_4 0.003394 s: linear_isometry_equiv.group._proof_5 0.002638 s: linear_isometry_equiv.group._proof_6 0.008710 s: linear_isometry_equiv.group._proof_7 0.003091 s: linear_isometry_equiv.symm_apply_apply 0.007471 s: linear_isometry_equiv.trans_symm 0.011615 s: linear_isometry_equiv.group 0.002485 s: linear_isometry_equiv.coe_inv 0.000575 s: list.of_fn_aux._main.equations._eqn_1 0.000204 s: list.of_fn_aux.equations._eqn_1 0.008681 s: CommMon_.equiv_lax_braided_functor_punit_unit_iso 0.007389 s: fract_coe 0.015342 s: nhds_within_Icc_eq_nhds_within_Iic 0.014972 s: nhds_within_Ico_eq_nhds_within_Iio 0.121819 s: tendsto_floor_left 0.016544 s: tendsto_floor_left' 0.113035 s: tendsto_fract_left' 0.018797 s: tendsto_fract_left 0.005387 s: tendsto_fract_right 0.000869 s: continuous_on_fract 0.059584 s: continuous_on.comp_fract' 0.013693 s: finset.summable_compl_iff 0.015444 s: sum_add_tsum_compl 0.005791 s: set.image_hom._proof_1 0.000214 s: dmatrix.add_comm_monoid 0.000260 s: set.image_hom._proof_3 0.000140 s: category_theory.monoidal_closed.sizeof 0.000294 s: psigma.decidable_eq._match_1._proof_1 0.000528 s: psigma.decidable_eq._match_1.equations._eqn_1 0.002691 s: monoid_hom.comp_one 0.004619 s: linear_map.injective_or_eq_zero 0.001059 s: linear_map.injective_of_ne_zero 0.000283 s: fin_enum.psigma.fin_enum_prop_left._match_2 0.000217 s: fin_enum.psigma.fin_enum_prop_left._match_2.equations._eqn_1 0.000239 s: mul_eq_zero_comm 0.001706 s: prod.preorder._match_3.equations._eqn_1 0.009177 s: holor.add_comm_group._proof_4 0.000233 s: znum.add._main.equations._eqn_3 0.002030 s: pnat.gcd_dvd_left 0.030525 s: is_principal_ideal_ring.cases_on 0.000380 s: free_group.red.exact 0.004828 s: free_group.of_injective 0.000276 s: finset.off_diag 0.000216 s: finset.off_diag.equations._eqn_1 0.004210 s: metric.Hausdorff_dist_zero_iff_closure_eq_closure 0.006215 s: category_theory.lax_monoidal.associativity 0.000166 s: list.lex.is_asymm.equations._eqn_1 0.000165 s: is_trichotomous.drec_on 0.000058 s: closure_operator.id._proof_1 0.000089 s: closure_operator.id._proof_2 0.000411 s: closure_operator.id._proof_3 0.000424 s: closure_operator.id 0.000118 s: closure_operator.inhabited 0.000210 s: closure_operator.inhabited.equations._eqn_1 0.003706 s: finsupp.restrict_support_equiv._proof_1 0.005767 s: finsupp.restrict_support_equiv._proof_3 0.001915 s: finsupp.restrict_support_equiv 0.000849 s: equiv.to_linear_equiv._proof_1 0.001368 s: equiv.to_linear_equiv._proof_2 0.002406 s: equiv.to_linear_equiv 0.004529 s: finsupp.subtype_domain_add 0.000324 s: finsupp.lsubtype_domain._proof_1 0.006825 s: finsupp.lsubtype_domain._proof_2 0.002680 s: finsupp.lsubtype_domain 0.005683 s: finsupp.supported_equiv_finsupp._proof_1 0.001973 s: finsupp.supported_equiv_finsupp 0.002752 s: finsupp.supported_equiv_finsupp.equations._eqn_1 0.001671 s: category_theory.lifts_to_colimit.rec_on 0.000704 s: pow_bit1' 0.000167 s: quiver.symmetrify_quiver.equations._eqn_1 0.009229 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_2 0.000292 s: ulift.mul_down 0.000262 s: list.not_mem_append 0.001250 s: rbnode.mem_exact._main 0.000871 s: rbnode.mem_exact._main.equations._eqn_2 0.000088 s: ordering.decidable_eq._match_2.equations._eqn_1 0.000903 s: AddCommMon.limit_cone.equations._eqn_1 0.000157 s: enat.bounded_lattice._proof_1 0.006781 s: enat.bounded_lattice 0.001782 s: nat.le_rec_on_surjective 0.000552 s: int.fdiv._main.equations._eqn_6 0.000067 s: int.fdiv.equations._eqn_6 0.001576 s: preorder_hom.prod.map._match_2.equations._eqn_1 0.000391 s: list.get_rest._main.equations._eqn_3 0.000173 s: list.get_rest.equations._eqn_3 0.053455 s: continuous_multilinear_curry_fin0.equations._eqn_1 0.000173 s: dite.equations._eqn_1 0.000097 s: tactic.transparency.cases_on 0.012660 s: sub_eq_sub_add_sub 0.000564 s: function.inv_fun_comp 0.000203 s: category_theory.limits.bicone.has_sizeof_inst 0.005098 s: category_theory.limits.is_limit.sizeof 0.000215 s: category_theory.limits.is_limit.has_sizeof_inst 0.001374 s: category_theory.limits.limit_bicone.sizeof 0.000103 s: category_theory.limits.limit_bicone.has_sizeof_inst 0.001120 s: continuous_linear_equiv.sizeof 0.001928 s: continuous_linear_equiv.mk.sizeof_spec 0.000268 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation._proof_1 0.000621 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation._proof_2 0.002092 s: category_theory.preserves_colimit_iso 0.000222 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation._proof_3 0.000627 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation._proof_4 0.002824 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation 0.002522 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation.equations._eqn_1 0.000932 s: monoid_hom.mk.sizeof_spec 0.000056 s: real.semigroup.equations._eqn_1 0.000379 s: category_theory.creates_colimits.sizeof 0.000657 s: category_theory.creates_colimits.mk.sizeof_spec 0.000385 s: bitvec.of_int._main.equations._eqn_1 0.182519 s: lt_of_mul_lt_mul_neg_right 0.000533 s: category_theory.limits.has_biproducts_of_shape.drec_on 0.000563 s: linear_map.module.End.division_ring._proof_9 0.028064 s: linear_isometry.norm_to_continuous_linear_map_le 0.052582 s: submodule.norm_subtypeL_le 0.026817 s: slim_check.injective_function.shrink_perm._sunfold 0.000946 s: ulift.nonempty_fin_lin_ord._proof_7 0.000624 s: equiv.subtype_equiv_of_subtype'.equations._eqn_1 0.002295 s: lazy_list.nth._main 0.000063 s: lazy_list.nth 0.000557 s: lazy_list.nth._main.equations._eqn_1 0.000147 s: lazy_list.nth.equations._eqn_1 0.000710 s: palindrome.drec_on 0.002553 s: function.injective.linear_ordered_field._proof_16 0.001175 s: contracting_with.efixed_point_is_fixed_pt 0.003399 s: emetric.edist_lt_top_setoid._proof_1 0.000399 s: emetric.edist_lt_top_setoid 0.001739 s: contracting_with.apriori_edist_iterate_efixed_point_le 0.006490 s: contracting_with.edist_efixed_point_le 0.003482 s: contracting_with.edist_efixed_point_lt_top 0.001473 s: contracting_with.efixed_point_eq_of_edist_lt_top 0.006035 s: category_theory.limits.types.pullback_iso_pullback_inv_snd 0.000027 s: side.R.inj 0.000024 s: side.R.inj_arrow 0.001752 s: continuous_map_has_scalar'._proof_1 0.000500 s: has_coe_to_sort.no_confusion 0.000270 s: has_coe_to_sort.mk.inj 0.000182 s: has_coe_to_sort.mk.inj_arrow 0.002454 s: affine.simplex.ext 0.000453 s: continuous_within_at.const_cpow 0.000071 s: list.has_emptyc 0.000198 s: slim_check.total_function.inhabited 0.008621 s: subfield.list_prod_mem 0.000133 s: has_well_founded.mk.inj_arrow 0.001249 s: category_theory.quotient.functor._proof_1 0.001704 s: category_theory.quotient.functor._proof_2 0.001452 s: category_theory.quotient.functor 0.001460 s: category_theory.quotient.functor.equations._eqn_1 0.000693 s: lie_module_hom.has_one._proof_1 0.001938 s: lie_module_hom.has_one._proof_3 0.001329 s: lie_module_hom.has_one 0.001387 s: lie_module_hom.has_one.equations._eqn_1 0.005352 s: category_theory.adjunction.no_confusion_type 0.006119 s: category_theory.adjunction.no_confusion 0.002810 s: category_theory.monad.monadic_of_creates_G_split_coequalizers 0.002347 s: category_theory.monad.monadic_of_creates_G_split_coequalizers.equations._eqn_1 0.000817 s: category_theory.sieve.pullback_eq_top_of_mem 0.005875 s: category_theory.grothendieck_topology.superset_covering 0.000048 s: turing.partrec_to_TM2.K'.stack.sizeof_spec 0.130256 s: affine.simplex.direction_altitude 0.285585 s: affine.simplex.finite_dimensional_direction_altitude 0.023117 s: units.lift_right_inv_mul 0.002246 s: is_unit.lift_right_inv_mul 0.007458 s: submonoid.localization_map.lift_mul_right 0.006365 s: submonoid.localization_map.map_mul_right 0.003173 s: submonoid.localization_map.map_mul_left 0.000026 s: pos_num.lor 0.000091 s: num.lor._main 0.000018 s: num.lor 0.000105 s: num.lor._main.equations._eqn_1 0.000023 s: num.lor.equations._eqn_1 0.001857 s: locally_finite.realizer.cases_on 0.001430 s: locally_finite.realizer.no_confusion_type 0.001283 s: mvqpf.quot1.map.equations._eqn_1 0.000132 s: tactic.abel.smulg.equations._eqn_1 0.000584 s: tactic.abel.zero_smulg 0.000102 s: computability.inhabited_fin_encoding 0.000059 s: turing.inhabited_fin_tm2 0.000926 s: category_theory.is_filtered_or_empty.dcases_on 0.000271 s: monad_io_net_system.cases_on 0.000280 s: monad_io_net_system.no_confusion_type 0.000442 s: category_theory.limits.has_image.drec_on 0.000119 s: has_coe_to_fun.sizeof 0.030958 s: tendsto_fpow_at_top_at_top 0.113191 s: tendsto_pow_div_pow_at_top_at_top 0.013813 s: nonempty_psum 0.004971 s: add_submonoid.localization_map.map._proof_1 0.006728 s: add_submonoid.localization_map.map 0.003355 s: add_submonoid.localization_map.map.equations._eqn_1 0.001045 s: category_theory.split_mono.cases_on 0.000472 s: category_theory.split_mono.no_confusion_type 0.000813 s: category_theory.split_mono.no_confusion 0.000075 s: has_add.rec_on 0.000687 s: punit.sub_eq 0.000071 s: monad_functor_t_refl 0.000478 s: monad_except_adapter_trans 0.000335 s: unique_factorization_monoid.drec 0.004121 s: category_theory.category.mk.sizeof_spec 0.001976 s: local_homeomorph.to_homeomorph_of_source_eq_univ_target_eq_univ_apply 0.000779 s: has_involutive_star.mk.sizeof_spec 0.000569 s: tactic_doc._1646313634 0.000137 s: is_incomp_trans.incomp_trans 0.000140 s: incomp_trans 0.000151 s: incomp_trans_of 0.000466 s: lt_of_lt_of_incomp 0.001367 s: measure_theory.measure.finite_spanning_sets_in.pi._proof_1 0.000802 s: encodable.surjective_decode_iget 0.001729 s: set.Union_univ_pi 0.005287 s: measure_theory.measure.finite_spanning_sets_in.pi._proof_3 0.002385 s: measure_theory.measure.finite_spanning_sets_in.pi 0.001719 s: measure_theory.measure.finite_spanning_sets_in.pi.equations._eqn_1 0.061649 s: CommRing.free._proof_1 0.165767 s: CommRing.free._proof_2 0.079679 s: CommRing.free 0.142577 s: mv_polynomial.hom_C 0.112017 s: mv_polynomial.eval₂_hom_X 0.100755 s: mv_polynomial.hom_equiv._proof_1 0.089938 s: mv_polynomial.hom_equiv._proof_2 0.078231 s: mv_polynomial.hom_equiv 0.014820 s: CommRing.adj._proof_2 0.002094 s: mul_equiv.symm_apply_eq 0.000503 s: set.finite.infinite_compl 0.002171 s: set.image_injective 0.002010 s: equiv.eq_image_iff_symm_image_eq 0.006323 s: of_mul_image_powers_eq_multiples_of_mul 0.009051 s: of_add_image_multiples_eq_powers_of_add 0.000185 s: pSet.resp.equations._eqn_1 0.000334 s: nat.partrec'.vec.prim 0.000129 s: tactic.interactive.mono_selection.inhabited 0.001724 s: equiv.mul_right'_apply 0.004168 s: fin_succ_equiv'_zero 0.000141 s: pfunctor.cases_on 0.000131 s: pfunctor.no_confusion_type 0.000300 s: pfunctor.no_confusion 0.000149 s: pfunctor.mk.inj 0.000118 s: pfunctor.mk.inj_arrow 0.001828 s: analytic_at.add 0.000457 s: has_fpower_series_on_ball.has_fpower_series_at 0.041101 s: formal_multilinear_series.radius_neg 0.018039 s: has_fpower_series_on_ball.neg 0.002308 s: has_fpower_series_at.neg 0.001156 s: analytic_at.neg 0.002603 s: analytic_at.sub 0.010284 s: distrib_lattice.copy._aux_6 0.002075 s: add_monoid_hom.distrib_mul_action._proof_1 0.000887 s: add_monoid_hom.mk_coe 0.008166 s: add_monoid_hom.distrib_mul_action._proof_3 0.001766 s: add_monoid_hom.mk.inj_eq 0.012698 s: add_monoid_hom.distrib_mul_action._proof_4 0.040705 s: add_monoid_hom.distrib_mul_action._proof_5 0.038484 s: add_monoid_hom.distrib_mul_action._proof_6 0.028153 s: add_monoid_hom.distrib_mul_action 0.005489 s: add_monoid_hom.coe_smul 0.015564 s: add_monoid_hom.semimodule._proof_3 0.002033 s: mvqpf.sigma.abs._sunfold 0.008676 s: multiset.countp.is_add_monoid_hom.equations._eqn_1 0.020516 s: TopCommRing.category_theory.forget₂.category_theory.reflects_isomorphisms 0.000272 s: turing.TM2.cfg.l 0.000050 s: option.to_list 0.006298 s: list.head_lookup_all 0.005325 s: list.nodup_repeat 0.002536 s: list.lookup_all_sublist 0.001270 s: list.lookup_all_length_le_one 0.002041 s: list.lookup_all_eq_lookup 0.000218 s: option.to_list_nodup 0.000384 s: list.lookup_all_nodup 0.001198 s: intermediate_field.adjoin.set_coe._proof_1 0.002607 s: intermediate_field.adjoin.set_coe 0.001997 s: intermediate_field.adjoin.set_coe.equations._eqn_1 0.000227 s: function.iterate_comm 0.000221 s: function.iterate_commute 0.001001 s: int.coe_nat_mul_neg_succ 0.000831 s: turing.tm2_computable.cases_on 0.000633 s: turing.tm2_computable.no_confusion_type 0.000703 s: turing.tm2_computable.no_confusion 0.001157 s: turing.tm2_computable.mk.inj 0.000414 s: free_magma.map._main 0.000036 s: free_magma.map 0.054259 s: convex_cone.positive_cone._proof_1 0.023210 s: convex_cone.positive_cone._proof_2 0.110054 s: convex_cone.positive_cone 0.129383 s: convex_cone.positive_cone.equations._eqn_1 0.031664 s: subring.closure_union 0.000865 s: Module.category_theory.monoidal_category.tensor_unit.comm_ring 0.000041 s: slim_check.and_counter_example._main._proof_4 0.000261 s: slim_check.and_counter_example._main.equations._eqn_8 0.000076 s: local_ring.residue_field 0.000209 s: local_ring.residue_field.field 0.000312 s: local_ring.residue_field.inhabited 0.000210 s: znum.div._main.equations._eqn_8 0.001895 s: alg_hom.map_bit0 0.005625 s: category_theory.limits.terminal_unop_of_initial._proof_1 0.003710 s: category_theory.limits.terminal_unop_of_initial._proof_2 0.001112 s: category_theory.limits.terminal_unop_of_initial 0.001178 s: category_theory.limits.terminal_unop_of_initial.equations._eqn_1 0.001789 s: mvpfunctor.W_mk'._sunfold 0.009670 s: mv_polynomial.coe_C 0.001545 s: category_theory.differential_object.iso_app_inv 0.008840 s: measure_theory.measure.prod.sigma_finite.equations._eqn_1 0.000452 s: psigma.lex_ndep_wf 0.001429 s: measurable_space.dynkin_system.generate_has.drec_on 0.001264 s: category_theory.center.forget._proof_1 0.000866 s: category_theory.center.forget._proof_2 0.053105 s: category_theory.center.forget._proof_4 0.025288 s: category_theory.center.forget._proof_5 0.018313 s: category_theory.center.forget._proof_6 0.000174 s: category_theory.center.forget._proof_7 0.000196 s: category_theory.center.forget._proof_8 0.023325 s: category_theory.center.forget 0.004463 s: category_theory.center.to_functor.category_theory.reflects_isomorphisms 0.000071 s: znum.has_lt.equations._eqn_1 0.000148 s: algebraic_geometry.LocallyRingedSpace.hom.inhabited 0.000164 s: pSet.sizeof 0.000770 s: pSet.mk.sizeof_spec 0.000368 s: list.nodup_decidable.equations._eqn_1 0.000103 s: omega.int.is_nnf.equations._eqn_8 0.000162 s: io.fs.mkdir.equations._eqn_1 0.000713 s: mul_hom.ext_iff 0.002274 s: mul_hom.cancel_right 0.000775 s: prod.right_cancel_semigroup.equations._eqn_1 0.000201 s: ordered_semiring.nsmul._default 0.000182 s: linear_ordered_semiring.nsmul._default 0.000129 s: topological_space.opens.has_union 0.000165 s: topological_space.opens.has_union.equations._eqn_1 0.000152 s: pnat.xgcd_type.succ₂ 0.000077 s: pnat.xgcd_type.succ₂.equations._eqn_1 0.001678 s: SemiRing.semiring_obj.equations._eqn_1 0.013053 s: mv_polynomial.is_homogeneous.prod 0.005544 s: bilin_form.to_lin_hom_flip._proof_1 0.018285 s: bilin_form.to_lin_hom_flip._proof_2 0.012160 s: bilin_form.to_lin_hom_flip 0.009833 s: bilin_form.to_lin_hom_flip.equations._eqn_1 0.000082 s: equiv.of_iff._proof_1 0.001039 s: dlex_linear_order._proof_13 0.012086 s: real.sin_add_int_mul_two_pi 0.005047 s: real.sin_sub_int_mul_two_pi 0.000187 s: mul_equiv.has_coe_to_fun.equations._eqn_1 0.000222 s: ne_zero_and_ne_zero_of_mul 0.000354 s: pseudo_metric_space.to_uniform_space._default 0.000681 s: pseudo_metric_space.to_uniform_space._default.equations._eqn_1 0.002394 s: category_theory.subobject.wide_cospan.equations._eqn_1 0.000046 s: turing.to_partrec.code.id.equations._eqn_1 0.001949 s: omega.nat.preform.sat_or 0.009897 s: finsupp.total_on._match_1 0.004124 s: finsupp.total_on._proof_1 0.003451 s: finsupp.total_on 0.003468 s: finsupp.total_on.equations._eqn_1 0.029049 s: linear_independent_iff_total_on 0.005393 s: polynomial.ne_zero_of_coe_le_degree 0.001217 s: polynomial.le_nat_degree_of_coe_le_degree 0.000170 s: parser.fix 0.000382 s: parser.err_static.fix 0.015120 s: with_top.linear_ordered_add_comm_monoid_with_top.equations._eqn_1 0.001429 s: commute.gpow_self 0.006916 s: subtype.discrete_topology 0.000146 s: category_theory.iso.inhabited.equations._eqn_1 0.000079 s: smt_config.em_cfg._default 0.000209 s: has_exists_add_of_le.exists_add_of_le 0.011685 s: set.Icc_add_bij 0.000564 s: ordnode.find_min'._main.equations._eqn_1 0.000076 s: ordnode.find_min'.equations._eqn_1 0.001432 s: category_theory.mono_over.map_iso_inverse 0.000707 s: category_theory.functor.ess_image_inclusion.equations._eqn_1 0.000244 s: slim_check.lt.printable_prop 0.000057 s: omega.int.neg_free.equations._eqn_4 0.000302 s: set.Ici.semilattice_inf_bot._proof_1 0.000280 s: set.Ici.semilattice_inf_bot._proof_2 0.001236 s: set.Ici.semilattice_inf_bot._proof_3 0.000680 s: set.Ici.semilattice_inf_bot._proof_4 0.000673 s: set.Ici.semilattice_inf_bot._proof_5 0.000574 s: set.Ici.semilattice_inf_bot._proof_6 0.000572 s: set.Ici.semilattice_inf_bot._proof_7 0.000836 s: set.Ici.semilattice_inf_bot._proof_8 0.004844 s: set.Ici.semilattice_inf_bot 0.002467 s: is_preirreducible.closure 0.000077 s: doc_category.cases_on 0.000064 s: doc_category.no_confusion_type 0.000358 s: doc_category.no_confusion 0.000803 s: doc_category.decidable_eq 0.001254 s: omega_complete_partial_order.continuous_hom.comp.equations._eqn_1 0.001883 s: monoid_hom.to_mul_equiv_symm_apply 0.000333 s: finsupp.of_support_finite 0.000406 s: finsupp.can_lift._proof_1 0.000292 s: finsupp.can_lift 0.000283 s: finsupp.can_lift.equations._eqn_1 0.000099 s: witt_vector.inhabited 0.000272 s: witt_vector.inhabited.equations._eqn_1 0.001874 s: computation.lift_rel.symm 0.000341 s: char_zero.rec_on 0.000420 s: denumerable.eqv.equations._eqn_1 0.003907 s: mem_subalgebra_equiv_intermediate_field 0.000530 s: lucas_lehmer.X.comm_ring._proof_13 0.000362 s: category_theory.is_left_adjoint.cases_on 0.000247 s: category_theory.is_left_adjoint.no_confusion_type 0.000571 s: category_theory.is_left_adjoint.no_confusion 0.000460 s: category_theory.is_left_adjoint.mk.inj 0.000641 s: category_theory.is_left_adjoint.mk.inj_arrow 0.496423 s: Module.Mon_Module_equivalence_Algebra._proof_11 0.000334 s: multiset.prod.equations._eqn_1 0.007062 s: lie_subalgebra.coe_bracket_of_module 0.018218 s: lie_subalgebra.lie_module._proof_1 0.002085 s: vector.remove_nth._sunfold 0.000254 s: tactic.ring2.csring_expr.atom.inj 0.000167 s: tactic.ring2.csring_expr.atom.inj_eq 0.026604 s: category_theory.limits.evaluation_jointly_reflects_colimits.equations._eqn_1 0.000831 s: no_top_order.upper_bounds_univ 0.000750 s: no_bot_order.lower_bounds_univ 0.007631 s: category_theory.monoidal_category.tensoring_right.equations._eqn_1 0.000092 s: mul_semiring_action_hom.id._proof_4 0.008783 s: enorm.finite_subspace.equations._eqn_1 0.000661 s: abs_abs_sub_abs_le_abs_sub 0.000308 s: omega.int.neg_free._main.equations._eqn_1 0.000045 s: omega.int.neg_free.equations._eqn_1 0.009242 s: field_of_is_unit_or_eq_zero._proof_4 0.003199 s: tendsto_neg_nhds_within_Iic 0.000102 s: ordnode.of_asc_list_aux₁._match_1._proof_2 0.001497 s: is_group_hom.trivial_ker_of_injective 0.001872 s: measure_theory.Ioo_ae_eq_Icc 0.032352 s: slim_check.nat_ge.sampleable._match_1._proof_1 0.003612 s: finsupp.add_monoid._match_2.equations._eqn_1 0.000702 s: complete_space.prod.equations._eqn_1 0.005606 s: category_theory.action_category.id_val 0.010415 s: category_theory.action_category.uncurry._proof_1 0.003875 s: list.prod_eq_zero 0.000180 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_1._proof_1 0.002747 s: category_theory.grothendieck_topology.le_close_of_is_closed 0.001368 s: category_theory.grothendieck_topology.le_close 0.002090 s: category_theory.grothendieck_topology.arrow_trans 0.000818 s: category_theory.grothendieck_topology.close_is_closed 0.000522 s: category_theory.grothendieck_topology.monotone_close 0.000021 s: computability.Γ'.ket.inj 0.000418 s: typevec.repeat._main.equations._eqn_1 0.000122 s: typevec.repeat.equations._eqn_1 0.001050 s: category_theory.triangulated.triangle.cases_on 0.000700 s: category_theory.triangulated.triangle.no_confusion_type 0.001141 s: category_theory.triangulated.triangle.no_confusion 0.001352 s: category_theory.triangulated.triangle.mk'.inj 0.001387 s: category_theory.triangulated.triangle.mk'.inj_arrow 0.002468 s: smooth_map_comm_ring._proof_14 0.000168 s: znum.bitm1._main.equations._eqn_1 0.000462 s: set.image_mul_prod 0.016961 s: set.is_pwo.mul 0.008294 s: set.is_wf.mul 0.000798 s: finset.is_wf_support_mul_antidiagonal 0.002674 s: open_subgroup.coe_inf 0.000347 s: set.mem_sep 0.003567 s: nonarchimedean_group.prod_subset 0.002046 s: nonarchimedean_group.prod_self_subset 0.004575 s: list.mem_filter_map 0.007571 s: list.pairwise_filter_map 0.075401 s: AddCommGroup.int_hom_ext 0.000580 s: function.uncurry_bicompl 0.011077 s: subgroup.normal.dcases_on 0.002319 s: intermediate_field.lifts.inhabited 0.001296 s: intermediate_field.lifts.inhabited.equations._eqn_1 0.000335 s: category_theory.limits.has_image.drec 0.000453 s: sup_right_comm 0.000362 s: dfinsupp.pre.sizeof 0.002571 s: dfinsupp.pre.mk.sizeof_spec 0.000160 s: Magma.large_category 0.000102 s: Magma.concrete_category 0.000512 s: Semigroup.has_forget_to_Magma 0.000318 s: Semigroup.has_forget_to_Magma.equations._eqn_1 0.000628 s: real.coe_tan_local_homeomorph 0.023328 s: finset.exists_lt_sum_fiber_of_sum_fiber_nonpos_of_nsmul_lt_sum 0.380721 s: finset.exists_sum_fiber_lt_of_sum_fiber_nonneg_of_sum_lt_nsmul 0.069046 s: finset.exists_card_fiber_lt_of_card_lt_mul 0.012936 s: fintype.exists_card_fiber_lt_of_card_lt_mul 0.001196 s: real.cos_sq_add_sin_sq 0.048707 s: alternating_map.dom_coprod.summand_mk' 0.000073 s: ωCPO.has_coe_to_sort 0.000270 s: ωCPO.omega_complete_partial_order 0.000214 s: ωCPO.omega_complete_partial_order.equations._eqn_1 0.000886 s: vector.head._main.equations._eqn_1 0.000468 s: vector.head.equations._eqn_1 0.000202 s: filter.realizer.Sup._match_1 0.000349 s: filter.realizer.Sup._proof_3 0.262840 s: real.ball_eq_Ioo 0.000355 s: add_equiv.add_submonoid_congr._proof_1 0.027932 s: add_con.lift_range 0.000858 s: add_con.ker_lift_range_eq 0.000242 s: add_monoid_hom.mrange_restrict._proof_1 0.000989 s: add_monoid_hom.mrange_restrict 0.006204 s: add_con.quotient_ker_equiv_range._match_2 0.004437 s: add_con.quotient_ker_equiv_range._proof_1 0.000293 s: except_t.bind.equations._eqn_1 0.000073 s: tactic.rewrite_cfg.cases_on 0.000062 s: tactic.rewrite_cfg.no_confusion_type 0.000249 s: tactic.rewrite_cfg.no_confusion 0.000227 s: enat.with_top_equiv._match_1.equations._eqn_1 0.000337 s: enat.with_top_equiv._match_1.equations._eqn_2 0.001292 s: enat.with_top_equiv._proof_2 0.000131 s: enat.with_top_equiv 0.000082 s: enat.with_top_equiv.equations._eqn_1 0.004716 s: enat.to_with_top_add 0.002508 s: enat.with_top_add_equiv._proof_3 0.000304 s: finsupp.nat_sub.equations._eqn_1 0.001362 s: mul_equiv.submonoid_congr._proof_2 0.000545 s: mul_equiv.submonoid_congr._proof_3 0.001411 s: mul_equiv.submonoid_congr._proof_4 0.003292 s: mul_equiv.submonoid_congr 0.012055 s: con.quotient_ker_equiv_range._proof_2 0.001299 s: module.End.maximal_generalized_eigenspace 0.000624 s: module.End.maximal_generalized_eigenspace.equations._eqn_1 0.000322 s: monotone.directed_le 0.005037 s: submodule.mem_supr_of_chain 0.035869 s: module.End.mem_generalized_eigenspace 0.031754 s: module.End.mem_maximal_generalized_eigenspace 0.004538 s: asymptotics.is_O_with.prod_left 0.001567 s: asymptotics.is_equivalent.symm 0.002130 s: asymptotics.is_O.symm 0.000926 s: asymptotics.is_equivalent.is_O 0.000752 s: asymptotics.is_equivalent.trans 0.005926 s: asymptotics.is_equivalent.tendsto_nhds 0.002389 s: asymptotics.is_equivalent.exists_eq_mul 0.812626 s: asymptotics.is_equivalent.smul 0.010696 s: asymptotics.is_equivalent.mul 0.087284 s: asymptotics.is_equivalent.inv 0.013337 s: asymptotics.is_equivalent.div 0.003012 s: filter.eventually_eq.sub_eq 0.000962 s: filter.eventually_eq.is_equivalent 0.345405 s: polynomial.is_equivalent_at_top_div 0.050057 s: polynomial.div_tendsto_leading_coeff_div_of_degree_eq 0.004142 s: list.decidable_bex._match_1._proof_1 0.001277 s: list.decidable_bex._match_1.equations._eqn_1 0.038034 s: complex.differentiable_at_exp 0.000875 s: composition_as_set.sizeof 0.000055 s: composition_as_set.has_sizeof_inst 0.015152 s: tendsto_list_prod 0.003646 s: tendsto_multiset_prod 0.001758 s: equiv.trans_swap_trans_symm 0.000282 s: category_theory.pretopology.order_top._proof_1 0.000374 s: category_theory.pretopology.order_top._proof_2 0.000637 s: category_theory.pretopology.order_top._proof_3 0.000158 s: category_theory.pretopology.order_top._proof_4 0.000137 s: category_theory.pretopology.order_top._proof_5 0.000522 s: category_theory.pretopology.order_top._proof_6 0.000520 s: category_theory.pretopology.order_top._proof_8 0.005234 s: category_theory.pretopology.order_top 0.000143 s: category_theory.pretopology.inhabited 0.000534 s: one_hom.one_apply 0.000521 s: buffer.write._main 0.000446 s: buffer.write._main.equations._eqn_1 0.000202 s: zsqrtd.has_le.equations._eqn_1 0.000183 s: int.add_sub_cancel 0.000563 s: int.add_sub_assoc 0.000310 s: int.add_lt_of_lt_sub_left 0.000187 s: int.lt_add_of_neg_lt_sub_right 0.000545 s: measurable_space.rec_on 0.000634 s: rel_embedding.order_embedding_of_lt_embedding.equations._eqn_1 0.000317 s: truncated_witt_vector.has_sub.equations._eqn_1 0.000164 s: list.nodupkeys.pairwise_ne 0.001206 s: wseq.join_nil 0.000095 s: wseq.seq_destruct_nil 0.000495 s: wseq.map_think 0.000243 s: wseq.map_append 0.000172 s: wseq.seq_destruct_think 0.003665 s: wseq.join_think 0.000153 s: wseq.seq_destruct_cons 0.008772 s: wseq.map_join 0.002182 s: wseq.map_comp 0.000644 s: computation.lift_rel_mem_cases 0.002798 s: computation.lift_rel_rec.lem 0.000983 s: computation.lift_rel_rec 0.000204 s: wseq.append_assoc 0.018595 s: wseq.join_join 0.006122 s: wseq.bind_assoc 0.009871 s: category_theory.category_of_elements.map.equations._eqn_1 0.000751 s: category_theory.sieve.pullback_pushforward_le 0.006810 s: mv_polynomial.bind₂_comp_bind₂ 0.010369 s: submodule.is_compl_equiv_proj._match_1 0.013133 s: submodule.is_compl_equiv_proj._match_1.equations._eqn_1 0.000414 s: ideal.of_rel 0.038122 s: ring_quot.ring_quot_to_ideal_quotient._proof_1 0.005488 s: ring_quot.ring_quot_to_ideal_quotient 0.000984 s: alist.lookup_empty 0.000910 s: quiver.path.length._main.equations._eqn_1 0.003226 s: times_cont_mdiff_on_id 0.001404 s: smooth_on_id 0.002133 s: function.surjective.smul_with_zero._proof_1 0.000145 s: Class.has_union 0.007392 s: submonoid.closure_induction' 0.055752 s: power_basis.lift.equations._eqn_1 0.008537 s: prod.partial_order._match_4.equations._eqn_1 0.001148 s: category_theory.graded_object.category_theory.concrete_category._proof_2 0.000456 s: bdd_below_iff_subset_Ici 0.000304 s: bdd_above_iff_subset_Iic 0.005590 s: bdd_below_bdd_above_iff_subset_Icc 0.000661 s: list.unzip._main.equations._eqn_1 0.000208 s: category_theory.prod_coprod_distrib._proof_9 0.000710 s: urysohns.CU.right.equations._eqn_1 0.000261 s: matrix.col._main.equations._eqn_1 0.000174 s: matrix.col.equations._eqn_1 0.003390 s: set.insert_pi 0.001728 s: times_cont_mdiff_at_top 0.263657 s: intermediate_field.lift2_alg.equations._eqn_1 0.021325 s: filter.frequently_cofinite_iff_infinite 0.002357 s: nat.frequently_at_top_iff_infinite 0.013558 s: polynomial.degree_cyclotomic_pos 0.005859 s: nat.dvd_factorial 0.001824 s: nat.coprime.coprime_mul_left_right 0.020635 s: polynomial.coeff_zero_prod 0.008223 s: nat.one_mem_proper_divisors_iff_one_lt 0.003341 s: nat.proper_divisors_zero 0.000702 s: nat.proper_divisors_subset_divisors 0.000127 s: nat.pos_of_mem_proper_divisors 0.062356 s: polynomial.cyclotomic_coeff_zero 0.048775 s: polynomial.coprime_of_root_cyclotomic 0.000983 s: nat.coe_cast_ring_hom 0.001264 s: zmod.coe_unit_of_coprime 0.015928 s: nat.divisors_subset_proper_divisors 0.020849 s: polynomial.X_pow_sub_one_dvd_prod_cyclotomic 0.080695 s: polynomial.order_of_root_cyclotomic_dvd 0.183146 s: polynomial.order_of_root_cyclotomic 0.001560 s: nat.coprime.coprime_mul_right_right 0.452521 s: nat.exists_prime_ge_modeq_one 0.012096 s: nat.frequently_at_top_modeq_one 0.000237 s: nat.infinite_set_of_prime_modeq_one 0.000278 s: category_theory.grothendieck.hom.inhabited 0.000325 s: category_theory.grothendieck.hom.inhabited.equations._eqn_1 0.002638 s: function.injective.linear_ordered_field._proof_10 0.000066 s: list.many 0.000216 s: list.many.equations._eqn_1 0.000070 s: option.elim._sunfold 0.000781 s: set.Icc.semilattice_inf_bot._proof_4 0.002843 s: category_theory.cartesian_closed.hom_equiv_apply_eq 0.000887 s: add_submonoid.bot_or_exists_ne_zero 0.000204 s: d_array.foreach.equations._eqn_1 0.004710 s: continuous_multilinear_map.has_add.equations._eqn_1 0.030164 s: category_theory.over.pullback.equations._eqn_1 0.000353 s: lt_add_of_sub_left_lt 0.012346 s: finset.has_sum_iff_compl 0.000125 s: omega.nat.preterm.cst.inj_eq 0.000528 s: list.insert_nth_succ_nil 0.000710 s: pequiv.single_apply_of_ne 0.001720 s: regular_space.t2_space._match_1.equations._eqn_1 0.000871 s: setoid.empty_not_mem_classes 0.000361 s: setoid.mem_classes 0.001449 s: setoid.classes_eqv_classes 0.000261 s: setoid.partition.rel_iso._proof_1 0.000285 s: setoid.partition.rel_iso._proof_2 0.000189 s: setoid.eq_of_mem_classes 0.000716 s: setoid.mk_classes_classes 0.001153 s: setoid.partition.rel_iso._proof_3 0.003421 s: setoid.partition.rel_iso._proof_4 0.002033 s: setoid.partition.rel_iso 0.001942 s: equiv.mul_left'._proof_2 0.000110 s: has_variable_names.make_inheriting_instance 0.000069 s: subtype.has_variable_names 0.000095 s: subtype.has_variable_names.equations._eqn_1 0.000588 s: Class.mem_hom_left 0.000191 s: category_theory.triangulated.triangle_morphism.has_sizeof_inst 0.000511 s: category_theory.limits.limit.cone_morphism 0.002177 s: category_theory.limits.limit.cone_morphism_hom 0.001319 s: primrec.vector_cons 0.000166 s: computable.vector_cons 0.025387 s: matrix.to_bilin'_aux_eq 0.000123 s: fp.float.is_finite._sunfold 0.000137 s: tactic.dsimp_config.zeta 0.000113 s: tactic.itauto.prop.below 0.004441 s: lie_algebra.orthogonal.type_B_equiv_so'._proof_2 0.000206 s: with_top.canonically_linear_ordered_add_monoid._proof_2 0.000440 s: with_top.canonically_linear_ordered_add_monoid._proof_3 0.000320 s: with_top.canonically_linear_ordered_add_monoid._proof_4 0.000385 s: with_top.canonically_linear_ordered_add_monoid._proof_5 0.000200 s: with_top.canonically_linear_ordered_add_monoid._proof_6 0.000144 s: with_top.canonically_linear_ordered_add_monoid._proof_7 0.000182 s: with_top.canonically_linear_ordered_add_monoid._proof_8 0.000254 s: with_top.canonically_linear_ordered_add_monoid._proof_9 0.000380 s: with_top.canonically_linear_ordered_add_monoid._proof_10 0.000824 s: with_top.canonically_linear_ordered_add_monoid._proof_11 0.000331 s: with_top.canonically_linear_ordered_add_monoid._proof_13 0.001244 s: with_top.canonically_linear_ordered_add_monoid._proof_14 0.000449 s: with_top.canonically_linear_ordered_add_monoid._proof_15 0.011975 s: with_top.canonically_linear_ordered_add_monoid 0.010833 s: with_top.canonically_linear_ordered_add_monoid.equations._eqn_1 0.060343 s: continuous_multilinear_map.has_sum_eval 0.000034 s: string.head 0.000169 s: measure_theory.measure.absolutely_continuous_of_eq 0.000039 s: eq.absolutely_continuous 0.000654 s: measure_theory.measure.quasi_measure_preserving.id 0.020005 s: linear_equiv.symm_mk 0.002570 s: localization.mul_equiv_of_quotient_monoid_of 0.000295 s: nhds_within_ne_bot_of_mem 0.000321 s: nhds_within_Ici_ne_bot 0.007999 s: pi_tensor_product.tmul_equiv.equations._eqn_1 0.000102 s: CpltSepUniformSpace.has_coe_to_sort.equations._eqn_1 0.000298 s: turing.TM0to1.Λ'.normal.inj 0.000136 s: turing.TM0to1.Λ'.normal.inj_arrow 0.001585 s: category_theory.projective.drec 0.000240 s: nat.add_sub_cancel_right 0.000411 s: lift_fn_range.equations._eqn_1 0.006841 s: category_theory.ι_preserves_colimits_iso_hom 0.004955 s: category_theory.ι_preserves_colimits_iso_hom_assoc 0.000214 s: option.orelse._main.equations._eqn_2 0.000174 s: option.orelse.equations._eqn_2 0.075532 s: continuous_linear_map.flip.equations._eqn_1 0.011217 s: submonoid.localization_map.mul_equiv_of_localizations_symm_apply 0.002666 s: ordinal.enum._match_4.equations._eqn_1 0.000094 s: irreducible_space.to_preirreducible_space 0.000036 s: ssuperset 0.000077 s: ssuperset.equations._eqn_1 0.000171 s: interior_Iio 0.000236 s: rbnode.balance1.equations._eqn_7 0.000056 s: list.after 0.000273 s: list.after._main.equations._eqn_1 0.000083 s: list.after.equations._eqn_1 0.003434 s: linear_ordered_ring.decidable_eq._default 0.000700 s: linear_ordered_comm_ring.decidable_eq._default 0.000974 s: linear_ordered_comm_ring.decidable_eq._default.equations._eqn_1 0.000053 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.nil_1.inj 0.000293 s: measurable_space.map_mono 0.000154 s: measurable_space.monotone_map 0.000077 s: nat.bit_cases 0.000125 s: nat.bit_cases.equations._eqn_1 0.000113 s: guardb._sunfold 0.000511 s: set.Iic.semilattice_inf_bot._proof_3 0.019631 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_7 0.003321 s: continuous_map.uncurry.equations._eqn_1 0.000285 s: rack.pre_envel_group_rel.drec_on 0.000648 s: eq_neg_add_iff_add_eq 0.001343 s: linear_recurrence.mk.sizeof_spec 0.000252 s: multiset.attach.equations._eqn_1 0.000141 s: topological_space.nonempty_compacts.equations._eqn_1 0.000629 s: quotient.lift_on₂'_mk' 0.018478 s: lie_module_hom.has_scalar.equations._eqn_1 0.034206 s: valuation.map_inv 0.025992 s: linear_pmap.comp 0.027191 s: linear_pmap.fst 0.037875 s: linear_pmap.coprod._proof_1 0.037428 s: linear_pmap.snd 0.037355 s: linear_pmap.coprod._proof_2 0.048599 s: linear_pmap.coprod 0.009463 s: linear_pmap.has_neg 0.094117 s: linear_pmap.coprod_apply 0.016917 s: linear_pmap.neg_apply 0.257889 s: exists_extension_of_le_sublinear 0.981018 s: real.exists_extension_norm_eq 0.000385 s: onote.add._main.equations._eqn_1 0.006147 s: add_submonoid.localization_map.symm_comp_of_add_equiv_of_localizations_apply 0.004125 s: order_bot.cases_on 0.007484 s: category_theory.sieve.galois_insertion_of_split_epi._proof_1 0.001124 s: category_theory.sieve.galois_insertion_of_split_epi 0.000054 s: tactic.itauto.prop.true.sizeof_spec 0.000606 s: filter.tendsto.abs 0.001396 s: category_theory.isomorphism_classes._match_1 0.000472 s: category_theory.isomorphism_classes._proof_1 0.077593 s: is_R_or_C.abs_sqr_re_add_conj' 0.000041 s: io.process.stdio.piped.inj 0.000026 s: io.process.stdio.piped.inj_arrow 0.009232 s: set.add_comm_monoid._proof_5 0.001445 s: ulift.monoid._proof_1 0.000340 s: has_finite_inter.mk.inj 0.006729 s: multiset.sum.is_add_monoid_hom 0.008670 s: finsupp.multiset_sum_sum 0.000278 s: mul_action_hom.id 0.000690 s: mul_action_hom.id_apply 0.012590 s: pmf.bind_on_support.summable 0.016474 s: pmf.bind_on_support._proof_1 0.000262 s: AddMagma.has_add 0.004558 s: category_theory.iso.AddMagma_iso_to_add_equiv._proof_1 0.002642 s: category_theory.iso.AddMagma_iso_to_add_equiv._proof_2 0.001914 s: category_theory.iso.AddMagma_iso_to_add_equiv._proof_3 0.001203 s: category_theory.iso.AddMagma_iso_to_add_equiv 0.002781 s: add_equiv_iso_AddMagma_iso._proof_1 0.000661 s: finsupp.filter_apply 0.006968 s: mv_polynomial.coeff_homogeneous_component 0.000167 s: category_theory.limits.types.filtered_colimit.is_colimit_of._proof_2 0.120135 s: linear_map.to_matrix_alg_equiv'.equations._eqn_1 0.137089 s: linear_map.to_matrix_alg_equiv'_apply 0.019383 s: set.pi_univ_Ioi_subset 0.004341 s: set.pi_univ_Iio_subset 0.002790 s: set.pi_univ_Ioo_subset 0.000246 s: normed_group_hom.norm_noninc 0.001114 s: normed_group_hom.isometry_iff_norm 0.000388 s: normed_group_hom.norm_eq_of_isometry 0.001108 s: normed_group_hom.norm_noninc_of_isometry 0.000203 s: opposite.right_cancel_semigroup._proof_1 0.000815 s: opposite.right_cancel_semigroup._proof_2 0.000287 s: opposite.right_cancel_semigroup 0.000345 s: opposite.right_cancel_semigroup.equations._eqn_1 0.000452 s: array.is_lawful_traversable 0.000950 s: list.revzip_map_snd 0.002388 s: list.reverse_revzip 0.000765 s: finset.disjoint_of_subset_right 0.000072 s: cardinal.ord_aleph_is_limit 0.001407 s: set.surj_on.left_inv_on_of_right_inv_on 0.000316 s: add_right_cancel_semigroup.cases_on 0.000243 s: add_right_cancel_semigroup.no_confusion_type 0.000388 s: add_right_cancel_semigroup.no_confusion 0.000995 s: add_right_cancel_semigroup.mk.inj 0.000775 s: add_right_cancel_semigroup.mk.inj_arrow 0.000198 s: rbnode.fold.equations._eqn_3 0.001148 s: list.nth_le_update_nth_eq 0.001370 s: add_monoid_hom.to_add_equiv_apply 0.000281 s: multiset.sup.equations._eqn_1 0.001145 s: multiset.sup_add 0.009062 s: finset.preimage_union 0.000320 s: category_theory.prod_preserves_connected_limits.γ₂._proof_1 0.004468 s: category_theory.prod_preserves_connected_limits.γ₂ 0.000853 s: category_theory.prod_preserves_connected_limits.forget_cone 0.000705 s: normed_field.cases_on 0.000398 s: normed_field.no_confusion_type 0.000689 s: normed_field.no_confusion 0.001279 s: equiv.set.sep 0.000499 s: fin_sum_fin_equiv_apply_left 0.000203 s: is_antisymm.swap 0.000433 s: ge.is_antisymm 0.000291 s: ge.is_partial_order 0.000170 s: ge.is_partial_order.equations._eqn_1 0.006328 s: intermediate_field.map.equations._eqn_1 0.003264 s: complete_lattice_Prop.equations._eqn_1 0.001908 s: filter.inf_ne_bot_iff_frequently_right 0.000291 s: isometry.ediam_range 0.000502 s: isometric.ediam_univ 0.099019 s: ideal.polynomial_quotient_equiv_quotient_polynomial.equations._eqn_1 0.001699 s: category_theory.limits.binary_fan.swap.equations._eqn_1 0.013060 s: monoid_hom.map_finsupp_prod 0.000913 s: nat.not_even_bit1 0.010057 s: nat.two_not_dvd_two_mul_add_one 0.005833 s: nat.two_not_dvd_two_mul_sub_one 0.000762 s: rack.pre_envel_group_rel'.sizeof 0.000226 s: rack.pre_envel_group_rel'.has_sizeof_inst 0.001225 s: rack.pre_envel_group_rel'.congr_mul.sizeof_spec 0.000157 s: pos_num.bit0.inj_eq 0.000123 s: list.tfae.equations._eqn_1 0.000051 s: applicative.has_sizeof_inst 0.000051 s: has_bind.has_sizeof_inst 0.000104 s: monad.sizeof 0.000299 s: monad.mk.sizeof_spec 0.000218 s: is_antisymm.drec 0.000847 s: local_equiv.copy._proof_1 0.000626 s: local_equiv.copy._proof_2 0.000745 s: local_equiv.copy._proof_3 0.000764 s: local_equiv.copy 0.000996 s: local_equiv.copy.equations._eqn_1 0.000723 s: parser.bounded.mmap 0.000434 s: distrib.rec_on 0.001672 s: complete_semilattice_Inf.rec_on 0.000736 s: equiv.const_vadd._proof_1 0.000572 s: equiv.const_vadd._proof_2 0.000261 s: equiv.const_vadd 0.000539 s: isometric.const_vadd._proof_1 0.000200 s: isometric.const_vadd 0.001052 s: equiv.const_vadd_zero 0.001563 s: isometric.const_vadd_zero 0.000415 s: with_top.has_Inf.equations._eqn_1 0.007436 s: category_theory.limits.cocones.whiskering.equations._eqn_1 0.001668 s: category_theory.monoidal_category.left_unitor_conjugation 0.000182 s: lazy_list.init._match_1 0.000478 s: lazy_list.init._main 0.000027 s: lazy_list.init 0.000418 s: lazy_list.init._main.equations._eqn_1 0.000123 s: lazy_list.init.equations._eqn_1 0.000809 s: open_add_subgroup.has_coe_opens 0.003127 s: parser.any_char_eq_done 0.002984 s: parser.step.any_char 0.000028 s: parser.prog.any_char 0.001106 s: pnat.coe_bit1 0.000386 s: functor.add_const.applicative 0.001781 s: algebra.finite_presentation.of_surjective 0.046087 s: ring_hom.finite_presentation.comp_surjective 0.020268 s: linear_isometry_equiv.map_add 0.008068 s: finsupp.total_range 0.000363 s: perfect_closure.lift._proof_4 0.000061 s: nat.shiftl'._sunfold 0.000362 s: alist.sizeof 0.000139 s: zorn.max_chain.equations._eqn_1 0.212163 s: normed_field.exists_lt_norm 0.030074 s: open_embedding.open_iff_image_open 0.003574 s: open_embedding.comp 0.010476 s: submodule.restrict_scalars_mem 0.018031 s: continuous_linear_map.exists_nonlinear_right_inverse_of_surjective 0.002416 s: continuous_linear_map.nonlinear_right_inverse_of_surjective 0.002464 s: continuous_linear_map.nonlinear_right_inverse_of_surjective.equations._eqn_1 0.002329 s: continuous_linear_map.nonlinear_right_inverse_of_surjective_nnnorm_pos 0.004231 s: approximates_linear_on.image_mem_nhds 0.003980 s: approximates_linear_on.map_nhds_eq 0.006127 s: has_strict_fderiv_at.map_nhds_eq_of_surj 0.000334 s: simplex_category.truncated.inclusion.faithful 0.000265 s: complex.zero_lt_real 0.000140 s: ordinal.type_def 0.562249 s: linear_isometry_equiv.of_inner_product_space.equations._eqn_1 0.011530 s: div_lt_iff_of_neg' 0.079898 s: one_div_lt_one_div_of_neg_of_lt 0.001577 s: coe_norm_subgroup 0.000197 s: state_t.monad_state_adapter 0.000360 s: state_t.monad_state_adapter.equations._eqn_1 0.000466 s: CommMon.forget_preserves_limits._proof_1 0.007178 s: is_add_unit_of_add_is_add_unit_left 0.010316 s: int.dvd_of_mul_dvd_mul_left 0.000667 s: embedding.continuous_on_iff 0.003735 s: pi_tensor_product.has_scalar.equations._eqn_1 0.008903 s: set.Ici_inter_Ici 0.004583 s: set.Ico_inter_Ico 0.003489 s: set.Ico_eq_empty_iff 0.004097 s: set.Ico_disjoint_Ico 0.088054 s: submodule.semimodule_submodule._proof_1 0.075404 s: continuous_linear_map.equiv_prod_of_surjective_of_is_compl.equations._eqn_1 0.000156 s: fin.ne_iff_vne 0.007047 s: distrib_mul_action_hom.sizeof 0.000782 s: localization.mk_eq_monoid_of_mk' 0.027581 s: localization.mk_eq_mk' 0.000058 s: tactic.suggest.head_symbol_match.has_sizeof_inst 0.010521 s: dfinsupp.filter._proof_2 0.001361 s: dfinsupp.filter 0.001739 s: dfinsupp.filter_apply 0.002316 s: dfinsupp.filter_apply_neg 0.028968 s: category_theory.adjunction.core_unit_counit.right_triangle' 0.000672 s: wseq.inits._match_1.equations._eqn_3 0.000341 s: self_le_neg 0.006848 s: mul_le_iff_le_one_right' 0.082321 s: finite_dimensional_finsupp 0.010497 s: perfect_closure.zero_def 0.000248 s: linear_ordered_comm_monoid.npow._default 0.000117 s: linear_ordered_comm_monoid_with_zero.npow._default 0.000104 s: linear_ordered_comm_group_with_zero.npow._default 0.002629 s: monotone.infi_comp_eq 0.000773 s: list.update_nth_succ 0.004389 s: linear_isometry_equiv.coe_to_isometric 0.015042 s: is_R_or_C.coe_hom.equations._eqn_1 0.002284 s: category_theory.preadditive.epi_iff_cancel_zero 0.000128 s: tactic.ring2.csring_expr.sizeof 0.000028 s: tactic.ring2.csring_expr.has_sizeof_inst 0.000371 s: tactic.ring2.csring_expr.mul.sizeof_spec 0.002297 s: psigma.mk.inj_iff 0.000424 s: psigma.ext_iff 0.001903 s: category_theory.structured_arrow.map_obj_left 0.003789 s: function.support_prod 0.000023 s: vm_obj_kind.declaration.inj 0.000168 s: filter.germ.ordered_comm_group._proof_9 0.000049 s: tactic.rewrite_search.dir_pair.to_list 0.000893 s: category_theory.cofinal.extend_cone_cocone_to_cone_X 0.000224 s: metric.bounded_of_finite 0.000056 s: set.finite.bounded 0.004504 s: order_embedding.of_strict_mono.equations._eqn_1 0.000023 s: tactic.tag 0.002494 s: lie_submodule.mem_carrier 0.001678 s: category_theory.limits.colimit.hom_iso 0.002727 s: category_theory.limits.is_colimit.hom_iso_hom 0.002918 s: category_theory.limits.colimit.hom_iso_hom 0.008240 s: fixed_points.complete_lattice._match_6 0.014846 s: fixed_points.complete_lattice._proof_20 0.000282 s: hahn_series.sizeof 0.000545 s: hahn_series.mk.sizeof_spec 0.004132 s: linear_isometry.comp._proof_1 0.000204 s: pi.semilattice_sup_bot._proof_2 0.000440 s: pi.semilattice_sup_bot._proof_3 0.000559 s: pi.semilattice_sup_bot._proof_4 0.000616 s: pi.semilattice_sup_bot._proof_5 0.000607 s: pi.semilattice_sup_bot._proof_6 0.000948 s: pi.semilattice_sup_bot._proof_7 0.001670 s: pi.semilattice_sup_bot._proof_8 0.004932 s: pi.semilattice_sup_bot._proof_9 0.007005 s: pi.semilattice_sup_bot._proof_10 0.004019 s: pi.semilattice_sup_bot._proof_11 0.005742 s: pi.semilattice_sup_bot._proof_12 0.012706 s: pi.semilattice_sup_bot 0.000352 s: sub_mul_action.sizeof 0.050246 s: bilin_form.to_matrix 0.036715 s: matrix.to_bilin 0.043892 s: bilin_form.to_matrix_to_bilin 0.000311 s: order.is_pfilter.equations._eqn_1 0.006065 s: multiset.prod_induction_nonempty 0.003939 s: multiset.le_prod_nonempty_of_submultiplicative_on_pred 0.002697 s: finset.le_prod_nonempty_of_submultiplicative_on_pred 0.000026 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.has_sizeof_inst 0.000017 s: _nest_2_1.tactic.rewrite_search._nest_1_1.tactic.rewrite_search.using_conv.app_addr.dir_pair.has_sizeof_inst 0.001995 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.sizeof_pack 0.000378 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.sizeof_pack_0_0 0.002570 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.node.sizeof_spec 0.003151 s: filter.comap_Sup 0.097307 s: times_cont_diff_at.exp 0.012181 s: lie_module_equiv.inhabited 0.004168 s: lie_module_equiv.inhabited.equations._eqn_1 0.000332 s: has_measurable_inv.drec 0.000299 s: slim_check.total_function.sizeof 0.000769 s: slim_check.total_function.with_default.sizeof_spec 0.006286 s: lie_module_equiv.ext 0.074169 s: lie_module.maximal_trivial_equiv_of_refl_eq_refl 0.000417 s: ordinal.cof_ord_le 0.022492 s: ordinal.infinite_pigeonhole 0.000123 s: algebraic_geometry.SheafedSpace.restrict._proof_11 0.001376 s: free_abelian_group.induction_on' 0.005552 s: free_abelian_group.map_neg 0.003864 s: free_abelian_group.pure_bind 0.007311 s: free_abelian_group.zero_bind 0.003814 s: free_abelian_group.neg_bind 0.004648 s: free_abelian_group.add_bind 0.308540 s: free_abelian_group.is_lawful_monad 0.353458 s: free_abelian_group.is_lawful_monad.equations._eqn_1 0.000132 s: tactic.calculated_Prop.equations._eqn_1 0.011255 s: monoid_algebra.lift_single 0.016817 s: free_algebra.equiv_monoid_algebra_free_monoid._proof_2 0.000656 s: free_algebra.has_scalar.equations._eqn_1 0.002475 s: category_theory.category_of_elements.map_obj_fst 0.002546 s: principal_seg.has_coe_initial_seg.equations._eqn_1 0.000518 s: con.quotient_ker_equiv_of_surjective._proof_4 0.012074 s: complete_distrib_lattice.copy._proof_1 0.013392 s: complete_distrib_lattice.copy._proof_2 0.010618 s: complete_distrib_lattice.copy._proof_3 0.012473 s: complete_distrib_lattice.copy._proof_4 0.010919 s: complete_distrib_lattice.copy._proof_6 0.013406 s: complete_distrib_lattice.copy._proof_7 0.010703 s: complete_distrib_lattice.copy._proof_8 0.010742 s: complete_distrib_lattice.copy._proof_9 0.012480 s: complete_distrib_lattice.copy._proof_10 0.014673 s: complete_distrib_lattice.copy._proof_12 0.013315 s: complete_distrib_lattice.copy._proof_13 0.014965 s: complete_distrib_lattice.copy._proof_14 0.015000 s: complete_distrib_lattice.copy._proof_16 0.571377 s: complete_distrib_lattice.copy._aux_1 0.046381 s: complete_distrib_lattice.copy 0.000035 s: ordering.inhabited 0.013832 s: linear_equiv.of_left_inverse_apply 0.005395 s: list.perm_comp_forall₂ 0.002036 s: list.forall₂_comp_perm_eq_perm_comp_forall₂ 0.001731 s: list.rel_perm_imp 0.000223 s: relator.left_unique.dcases_on 0.000280 s: relator.left_unique_flip 0.000734 s: list.rel_perm 0.041311 s: Module.monoidal_category.left_unitor.equations._eqn_1 0.007337 s: fin_enum.of_surjective._proof_1 0.000170 s: fin_enum.of_surjective 0.000257 s: fin_enum.of_surjective.equations._eqn_1 0.000049 s: lists.of_list 0.000092 s: lists.of_list.equations._eqn_1 0.009222 s: hahn_series.add_monoid.equations._eqn_1 0.000027 s: pos_num.one.inj 0.000217 s: ordinal.rel_iso_out._proof_1 0.000500 s: ordinal.rel_iso_out._proof_2 0.001363 s: ordinal.rel_iso_out 0.002369 s: ordinal.rel_iso_out.equations._eqn_1 0.000543 s: set.surj_on.union 0.001688 s: mvqpf.mk.inj 0.001387 s: mvqpf.mk.inj_arrow 0.000156 s: quiver.has_reverse.rec_on 0.000614 s: equiv.sum_arrow_equiv_prod_arrow.equations._eqn_1 0.081151 s: add_monoid_hom.coe_to_real_linear_map 0.011545 s: category_theory.well_powered.dcases_on 0.000348 s: slim_check.or_counter_example._main.equations._eqn_8 0.000133 s: slim_check.or_counter_example.equations._eqn_8 0.000674 s: fintype.card_finset 0.003162 s: composition_as_set_card 0.001355 s: ultrafilter.comap._proof_1 0.004918 s: ultrafilter.comap._proof_2 0.000638 s: ultrafilter.comap 0.002593 s: distrib_mul_action.hom_add_monoid_hom._proof_2 0.000226 s: lazy_list.nth._sunfold 0.001014 s: fin.succ_rec._main.equations._eqn_2 0.033252 s: bilin_form.to_matrix.equations._eqn_1 0.010145 s: bilin_form.congr_apply 0.086311 s: is_basis.equiv_fun_symm_std_basis 0.108743 s: bilin_form.to_matrix_apply 0.079499 s: bilin_form.to_matrix_comp 0.020129 s: qpf.liftp_iff 0.004346 s: qpf.mem_supp 0.056484 s: topological_space.opens.map_comp.equations._eqn_1 0.000427 s: category_theory.limits.wide_pullback_shape.hom.sizeof 0.000432 s: category_theory.limits.wide_pullback_shape.hom.id.sizeof_spec 0.000197 s: group.has_pow.equations._eqn_1 0.009702 s: mv_polynomial.homogeneous_component_is_homogeneous 0.000392 s: con_gen.equations._eqn_1 0.001304 s: normed_group_hom.mk.inj 0.002664 s: normed_group_hom.mk.inj_eq 0.000649 s: preorder_hom.prod.fst_to_fun 0.000941 s: gpowers_equiv_gpowers 0.000767 s: gpowers_equiv_gpowers.equations._eqn_1 0.003873 s: fin_equiv_gpowers.equations._eqn_1 0.009916 s: fin_equiv_gpowers_symm_apply 0.011470 s: gpowers_equiv_gpowers_apply 0.010787 s: category_theory.coyoneda_jointly_reflects_limits._proof_1 0.003596 s: alg_equiv.symm_symm 0.001425 s: alg_equiv.symm_bijective 0.008708 s: alg_equiv.mk_coe' 0.000075 s: category_theory.decomposed 0.000566 s: category_theory.decomposed_to 0.024570 s: category_theory.decomposed_to.full._proof_2 0.002948 s: isometry.comp_continuous_iff 0.004540 s: linear_isometry_equiv.comp_continuous_iff 0.004282 s: is_locally_constant.iff_exists_open 0.000124 s: enat.with_top_order_iso._proof_1 0.000047 s: enat.with_top_order_iso._proof_2 0.011479 s: enat.to_with_top_le 0.000598 s: enat.with_top_equiv_le 0.000156 s: enat.with_top_order_iso._proof_3 0.000381 s: enat.with_top_order_iso 0.000230 s: enat.with_top_equiv_coe 0.004152 s: category_theory.arrow.square_to_snd_left 0.002576 s: category_theory.arrow.square_to_snd_right 0.012625 s: category_theory.has_right_lifting_property_comp 0.001062 s: category_theory.has_right_lifting_property_comp' 0.002406 s: list.foldr_join 0.004783 s: smooth_map.has_mul.equations._eqn_1 0.041443 s: add_submonoid.mem_supr_of_mem 0.000456 s: Top.presheaf.sheaf_condition.opens_le_cover.equations._eqn_1 0.000189 s: comm_monoid_with_zero.npow._default 0.000130 s: comm_cancel_monoid_with_zero.npow._default 0.000290 s: comm_cancel_monoid_with_zero.npow._default.equations._eqn_1 0.030571 s: submodule.map_subtype.rel_iso._match_1.equations._eqn_1 0.003452 s: measure_theory.ae_eq_fun.has_scalar.equations._eqn_1 0.001860 s: dist_sub_left 0.000091 s: language.equations._eqn_1 0.000169 s: has_sup.sizeof 0.000340 s: has_sup.mk.sizeof_spec 0.000633 s: stream.length_take 0.005923 s: parser.step.not_step_of_static_done 0.000925 s: parser.step.remaining 0.007195 s: category_theory.monoidal.left_unitor_inv_app 0.005904 s: category_theory.limits.cocones.reflects_cocone_isomorphism.equations._eqn_1 0.000722 s: open_add_subgroup.sum._proof_4 0.000919 s: filter.is_countably_generated.inf 0.000674 s: filter.is_countably_generated_principal 0.000079 s: filter.is_countably_generated.inf_principal 0.000118 s: topological_space.is_countably_generated_nhds 0.000120 s: topological_space.is_countably_generated_nhds_within 0.003421 s: category_theory.limits.coequalizer.iso_target_of_self_hom 0.000047 s: unique_unique_equiv._proof_1 0.000087 s: unique_unique_equiv._proof_2 0.000136 s: unique_unique_equiv 0.000178 s: unique_unique_equiv.equations._eqn_1 0.000073 s: measurable_equiv.inhabited 0.000045 s: list.as_string.equations._eqn_1 0.000244 s: computation.get_equiv 0.051194 s: model_with_corners.mdifferentiable_at 0.007178 s: model_with_corners.mdifferentiable 0.040216 s: local_ring.residue 0.007860 s: matrix.to_blocks_from_blocks₂₂ 0.000805 s: Algebra.mk.inj_arrow 0.001496 s: category_theory.limits.inhabited_cocone._match_1 0.002432 s: enat.eq_top_iff_forall_lt 0.002708 s: enat.coe_lt_iff 0.006211 s: enat.lt_find 0.004086 s: enat.lt_find_iff 0.003093 s: enat.find_eq_top_iff 0.001290 s: multiplicity.eq_top_iff 0.000385 s: multiplicity.is_unit_left 0.000282 s: multiplicity.unit_left 0.000235 s: category_theory.subterminals.inhabited 0.000117 s: _private.2377336987.to_nat_core._main.equations._eqn_1 0.001923 s: category_theory.is_kernel_pair.comp_of_mono._proof_3 0.000835 s: add_subgroup.mem_to_add_submonoid 0.001071 s: category_theory.with_terminal.incl._proof_1 0.000690 s: category_theory.with_terminal.incl._proof_2 0.001291 s: category_theory.with_terminal.incl 0.006681 s: category_theory.with_terminal.incl_lift._proof_1 0.001275 s: sym.cons._main 0.000040 s: sym.cons 0.000271 s: matrix.to_blocks₁₁ 0.000185 s: bin_tree.no_confusion_type 0.000520 s: bin_tree.no_confusion 0.000125 s: bin_tree.leaf.inj 0.000090 s: bin_tree.leaf.inj_arrow 0.000047 s: int.one.equations._eqn_1 0.002406 s: power_series.coeff_mul_C 0.001840 s: add_cancel_monoid.no_confusion_type 0.001326 s: add_cancel_monoid.no_confusion 0.002172 s: add_cancel_monoid.mk.inj 0.016116 s: set.Ici_add_bij 0.001154 s: filter.join_le 0.001796 s: polynomial.eval_int_cast 0.044569 s: nat.conditionally_complete_linear_order_bot.equations._eqn_1 0.003084 s: ordinal.cof_eq' 0.000390 s: ordinal.typein.equations._eqn_1 0.017413 s: cardinal.succ_is_regular 0.000424 s: function.injective.add_right_cancel_semigroup._proof_1 0.000018 s: _private.2316404473.make_monospaced 0.000300 s: not_nonempty_fintype 0.005416 s: cardinal.infinite_iff 0.003205 s: cardinal.mk_to_nat_of_infinite 0.000133 s: nat.card_eq_zero_of_infinite 0.000180 s: slim_check.eq.printable_prop 0.000179 s: slim_check.eq.printable_prop.equations._eqn_1 0.000142 s: category_theory.limits.wide_pushout_shape.hom.sizeof 0.001972 s: category_theory.equalizer.presieve.second_obj.equations._eqn_1 0.000059 s: omega.clauses.unsat.equations._eqn_1 0.001210 s: category_theory.limits.cokernel.of_kernel_of_mono 0.001510 s: category_theory.limits.cokernel.of_kernel_of_mono.equations._eqn_1 0.000147 s: prod.has_Sup 0.005243 s: measure_theory.measure.pi.sigma_finite 0.004106 s: measure_theory.measure.pi.sigma_finite.equations._eqn_1 0.029331 s: continuous_linear_map.is_bounded_linear_map_comp_left 0.007953 s: semilattice_sup_bot.no_confusion 0.002442 s: derivation.semimodule._proof_1 0.009094 s: category_theory.monoidal_of_has_finite_coproducts.right_unitor_hom 0.000116 s: setoid.map 0.000180 s: array.write' 0.000217 s: array.write'.equations._eqn_1 0.001253 s: array.write_eq_write' 0.000580 s: ordnode.mem._main.equations._eqn_1 0.001997 s: measure_theory.measure.map_mul_left_eq_self 0.000136 s: bilin_form.is_Ortho 0.000421 s: bilin_form.is_Ortho.equations._eqn_1 0.000025 s: tactic.unfold_config.zeta._default 0.000050 s: tactic.unfold_config.zeta._default.equations._eqn_1 0.001715 s: semidirect_product.inv_left 0.001968 s: semidirect_product.inv_right 0.007164 s: semidirect_product.inl_aut 0.003545 s: semidirect_product.inl_left_mul_inr_right 0.030543 s: semidirect_product.lift_unique 0.034943 s: semidirect_product.hom_ext 0.000332 s: add_magma.free_add_semigroup.r.cases_on 0.006310 s: alternating_map.has_sub.equations._eqn_1 0.001826 s: category_theory.limits.preserves_colimit_of_nat_iso 0.002346 s: category_theory.limits.preserves_colimits_of_shape_of_nat_iso 0.010676 s: is_coprime_zero_left 0.000157 s: is_coprime_zero_right 0.001813 s: divp_inv 0.009027 s: ideal.is_prime_ideal_prod_top 0.034700 s: ring_equiv.fst_comp_coe_prod_comm 0.358945 s: ideal.map_prod_comm_prod 0.031912 s: ideal.map_is_prime_of_equiv 0.193658 s: ideal.is_prime_ideal_prod_top' 0.021750 s: _private.2781075011.prime_ideals_equiv_impl._main 0.000271 s: _private.2781075011.prime_ideals_equiv_impl 0.002757 s: _private.2781075011.prime_ideals_equiv_impl._main.equations._eqn_1 0.002474 s: _private.2781075011.prime_ideals_equiv_impl.equations._eqn_1 0.002332 s: _private.2781075011.prime_ideals_equiv_impl._main.equations._eqn_2 0.001793 s: _private.2781075011.prime_ideals_equiv_impl.equations._eqn_2 0.054387 s: ideal.ideal_prod_prime_aux 0.201363 s: ideal.is_prime_of_is_prime_prod_top' 0.194616 s: ideal.ideal_prod_prime 0.033640 s: ideal.prime_ideals_equiv._proof_1 0.000735 s: set.ord_connected_Ico 0.028653 s: convex_Ico 0.000068 s: binder_info.has_repr 0.000063 s: binder_info.has_repr.equations._eqn_1 0.018390 s: associates.count_mul_of_coprime' 0.000115 s: interactive.loc.sizeof 0.000044 s: interactive.loc.wildcard.sizeof_spec 0.020951 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_1 0.003288 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_2 0.020065 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_3 0.022341 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_4 0.023286 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_5 0.021357 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_6 0.020554 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_8 0.017974 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_9 0.021351 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_10 0.017047 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_11 0.019419 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_12 0.005589 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_13 0.018464 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_14 0.019875 s: function.injective.linear_ordered_cancel_add_comm_monoid._proof_15 0.053743 s: function.injective.linear_ordered_cancel_add_comm_monoid 0.000513 s: equiv.mul_left.equations._eqn_1 0.012100 s: list.sorted.coe_nth_le_iso_apply 0.000122 s: _private.3053508007.split_core._main 0.000034 s: _private.3053508007.split_core 0.000021 s: string.split 0.000088 s: string.map_tokens 0.000087 s: string.map_tokens.equations._eqn_1 0.001541 s: is_integral_domain.drec_on 0.000141 s: multiples_add_hom._proof_1 0.000158 s: multiples_add_hom._proof_2 0.000436 s: multiples_add_hom 0.000878 s: multiples_add_hom_apply 0.009689 s: linear_map.restrict_eq_dom_restrict_cod_restrict 0.000249 s: fin_enum.psigma.fin_enum_prop_left._proof_1 0.000075 s: fin_enum.psigma.fin_enum_prop_left._proof_2 0.000547 s: fin_enum.psigma.fin_enum_prop_left 0.000813 s: fin_enum.psigma.fin_enum_prop_left.equations._eqn_1 0.011060 s: linear_map.pi_comp 0.003921 s: linear_map.proj_pi 0.051273 s: linear_map.infi_ker_proj_equiv._proof_2 0.024453 s: linear_map.infi_ker_proj_equiv 0.014101 s: continuous_linear_map.infi_ker_proj_equiv._proof_1 0.010043 s: continuous_linear_map.infi_ker_proj_equiv 0.007623 s: is_local_min.comp_continuous 0.179150 s: perfect_closure.perfect_ring._match_2.equations._eqn_1 0.002135 s: category_theory.subobject.order_bot.equations._eqn_1 0.000455 s: sub_mul_action.mul_action 0.000550 s: sub_mul_action.mul_action.equations._eqn_1 0.023598 s: continuous_pi_iff 0.000822 s: direct_sum.semimodule.equations._eqn_1 0.001129 s: finsupp.apply_add_hom.equations._eqn_1 0.000353 s: fin2.cases'._main.equations._eqn_1 0.006228 s: cau_seq.has_add._match_2.equations._eqn_1 0.000624 s: AddCommGroup.category_theory.limits.has_biproduct 0.000193 s: AddCommGroup.biproduct_iso_pi._proof_2 0.003309 s: CommRing.colimits.desc_fun_lift._main.equations._eqn_4 0.000383 s: CommRing.colimits.desc_fun_lift.equations._eqn_4 0.004531 s: category_theory.limits.image_subobject_map 0.004910 s: category_theory.limits.image_subobject_map.equations._eqn_1 0.010174 s: category_theory.limits.image_subobject_map_arrow 0.006585 s: category_theory.limits.image_subobject_map_arrow_assoc 0.079191 s: alg_equiv_matrix.equations._eqn_1 0.000489 s: category_theory.is_subterminal.iso_diag 0.001301 s: category_theory.is_subterminal.iso_diag_inv 0.018292 s: subgroup.normal_closure_normal.equations._eqn_1 0.000821 s: Module.Mon_Module_equivalence_Algebra._proof_12 0.052806 s: algebra.left_mul_matrix_apply 0.069136 s: algebra.left_mul_matrix_eq_repr_mul 0.000388 s: truncated_witt_vector.has_neg.equations._eqn_1 0.158258 s: bilin_form.to_lin_restrict_ker_eq_inf_orthogonal 0.021535 s: finsupp.coe_order_iso_multiset 0.000237 s: monad_io_net_system.accept 0.027992 s: category_theory.limits.cocones.whiskering_equivalence_counit_iso 0.000256 s: turing.TM1to1.Λ'.inhabited 0.038279 s: is_modular_lattice.is_complemented_Iic._match_1 0.000435 s: is_modular_lattice.is_complemented_Iic 0.010504 s: is_atomic.set.Iic.is_atomic._match_1 0.004112 s: is_atomic.set.Iic.is_atomic._match_2 0.000522 s: is_atomic.set.Iic.is_atomic 0.000142 s: is_atomic_iff_is_coatomic 0.016049 s: is_modular_lattice.is_modular_lattice_Iic 0.000896 s: set.Iic.coe_bot 0.086058 s: is_atomic_of_is_complemented 0.076333 s: is_atomistic_of_is_complemented 0.012063 s: mvqpf.Wequiv.rec_on 0.000197 s: qpf.fix.equations._eqn_1 0.003881 s: parser.static.fix_core 0.000445 s: ulift.div_down 0.003160 s: category_theory.monad.algebra.sizeof 0.000280 s: with_bot.decidable_le._main._proof_3 0.001176 s: with_bot.decidable_le._main.equations._eqn_3 0.001744 s: alternating_map.ext_iff 0.004381 s: ordered_comm_semiring.sizeof 0.000466 s: list.map₂_right_nil_right 0.007721 s: intermediate_field.coe_zero 0.000199 s: tactic.interactive.rep_arity 0.000064 s: tactic.interactive.rep_arity.cases_on 0.001586 s: finsupp.sum_elim.equations._eqn_1 0.001670 s: equiv.decidable.subset.decidable.mem.decidable._mutual._proof_3 0.034352 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_3 0.000961 s: lists.equiv.decidable._main.equations._eqn_3 0.000213 s: bitraversable.cases_on 0.000157 s: bitraversable.no_confusion_type 0.000591 s: bitraversable.no_confusion 0.007975 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.brec_on 0.000140 s: multiplicative.linear_ordered_comm_group._proof_1 0.000134 s: multiplicative.linear_ordered_comm_group._proof_2 0.000111 s: multiplicative.linear_ordered_comm_group._proof_3 0.000422 s: multiplicative.linear_ordered_comm_group._proof_4 0.000330 s: multiplicative.linear_ordered_comm_group._proof_5 0.000618 s: multiplicative.linear_ordered_comm_group._proof_7 0.000096 s: multiplicative.linear_ordered_comm_group._proof_8 0.000115 s: multiplicative.linear_ordered_comm_group._proof_9 0.000158 s: multiplicative.linear_ordered_comm_group._proof_10 0.000167 s: multiplicative.linear_ordered_comm_group._proof_11 0.000272 s: multiplicative.linear_ordered_comm_group._proof_12 0.000273 s: multiplicative.linear_ordered_comm_group._proof_13 0.009692 s: multiplicative.linear_ordered_comm_group 0.004436 s: category_theory.limits.pullback_cone.mk_π_app 0.001917 s: algebraic_geometry.SheafedSpace.Γ.equations._eqn_1 0.001065 s: mzip_with._main 0.000083 s: mzip_with 0.000642 s: mzip_with._main.equations._eqn_2 0.000266 s: mzip_with.equations._eqn_2 0.003584 s: normed_group_hom.lipschitz 0.010882 s: bounded_continuous_function.has_scalar'._proof_2 0.007352 s: bounded_continuous_function.has_scalar' 0.017416 s: bounded_continuous_function.module'._proof_1 0.000206 s: topological_space.separable_space.dcases_on 0.001542 s: alg_hom.id.equations._eqn_1 0.004492 s: add_subgroup.right_coset_equiv_add_subgroup._proof_2 0.003017 s: set.Ioc_union_Ioc_eq_Ioc 0.000160 s: znum.add._main.equations._eqn_1 0.001448 s: equiv.Pi_curry._match_1 0.000894 s: equiv.Pi_curry._proof_1 0.000201 s: finsupp.split_support 0.001055 s: finsupp.split._proof_1 0.000698 s: finsupp.split 0.000581 s: finsupp.split_support.equations._eqn_1 0.000623 s: finsupp.split.equations._eqn_1 0.006899 s: finsupp.sigma_support 0.001103 s: pmf.bind.equations._eqn_1 0.081978 s: isometric.coe_to_real_linear_equiv_of_map_zero 0.024033 s: holor.cprank_max_1 0.000486 s: add_right_cancel_semigroup.sizeof 0.001428 s: add_right_cancel_semigroup.mk.sizeof_spec 0.004536 s: smooth_map_add_comm_group._proof_2 0.004649 s: category_theory.isomorphism_classes._proof_2 0.007013 s: category_theory.isomorphism_classes._proof_3 0.002278 s: category_theory.isomorphism_classes 0.000289 s: category_theory.limits.has_finite_wide_pullbacks 0.000244 s: uliftable.up_map 0.000679 s: set.unique_singleton.equations._eqn_1 0.001444 s: vector.drop._main 0.000387 s: vector.drop 0.073067 s: has_deriv_at.clog 0.000380 s: seq.corec.F._match_1.equations._eqn_2 0.015621 s: set.fintype._proof_1 0.000238 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_8 0.000229 s: set.prod.equations._eqn_1 0.019044 s: has_smooth_mul.prod.equations._eqn_1 0.000155 s: relator.right_unique.cases_on 0.003301 s: monoid_with_zero_hom.comp.equations._eqn_1 0.000462 s: category_theory.subobject.map_iso 0.000558 s: category_theory.subobject.map_iso.equations._eqn_1 0.001811 s: expr.coord.code._main.equations._eqn_4 0.000402 s: vector.repeat.equations._eqn_1 0.000373 s: sylow.vectors_prod_eq_one.equations._eqn_1 0.002781 s: sylow.one_mem_vectors_prod_eq_one 0.066011 s: measure_theory.integrable.edist_to_L1_zero 0.006736 s: slim_check.list.shrink_removes._match_1._proof_4 0.000692 s: list.argmax_singleton 0.008046 s: category_theory.limits.kernel_comp_mono._proof_1 0.003296 s: category_theory.limits.kernel_comp_mono._proof_2 0.006414 s: category_theory.limits.kernel_comp_mono._proof_4 0.008262 s: category_theory.limits.kernel_comp_mono 0.002668 s: category_theory.limits.kernel_comp_mono_inv 0.000167 s: eq_false_of_or_eq_false_left 0.011008 s: nat.mul_div_le 0.000593 s: wseq.length._match_1.equations._eqn_3 0.000940 s: _private.3987499933.partition_local_deps_aux._main 0.000075 s: _private.3987499933.partition_local_deps_aux 0.002278 s: _private.3987499933.partition_local_deps_aux._main.equations._eqn_2 0.000705 s: _private.3987499933.partition_local_deps_aux.equations._eqn_2 0.000084 s: slim_check.total_function.apply 0.000310 s: matrix.vec_mul_vec._main 0.000183 s: matrix.vec_mul_vec 0.000937 s: matrix.vec_mul_vec._main.equations._eqn_1 0.000347 s: matrix.vec_mul_vec.equations._eqn_1 0.002728 s: matrix.cons_val' 0.007083 s: matrix.cons_vec_mul_vec 0.000119 s: has_one.nonempty.equations._eqn_1 0.000154 s: omega.int.preterm.val._sunfold 0.000118 s: option.decidable_eq._main._proof_2 0.000400 s: option.decidable_eq._main.equations._eqn_2 0.000156 s: option.decidable_eq.equations._eqn_2 0.000053 s: nat.bits 0.000909 s: if_ctx_congr_prop 0.000096 s: if_congr_prop 0.008098 s: ωCPO.has_products.is_product._proof_1 0.001170 s: add_monoid_hom.fst.equations._eqn_1 0.001034 s: list.revzip_swap 0.000249 s: list.take'.equations._eqn_2 0.000034 s: expr_lens.dir.A.inj 0.000724 s: direct_sum.grade_zero.semiring._proof_2 0.000874 s: direct_sum.grade_zero.semiring._proof_3 0.000540 s: direct_sum.grade_zero.semiring._proof_4 0.000882 s: direct_sum.grade_zero.semiring._proof_5 0.012971 s: direct_sum.grade_zero.semiring 0.002356 s: direct_sum.of_zero_ring_hom._proof_1 0.000860 s: direct_sum.of_zero_ring_hom._proof_3 0.030699 s: direct_sum.of_zero_ring_hom 0.000535 s: direct_sum.grade_zero.semimodule._proof_1 0.055521 s: direct_sum.grade_zero.semimodule 0.015208 s: submodule.fg_prod 0.000878 s: module.finite.out 0.038057 s: module.finite.prod 0.046802 s: module.finite.prod.equations._eqn_1 0.017887 s: abs_hom.equations._eqn_1 0.002445 s: smooth_manifold_with_corners.compatible_of_mem_maximal_atlas 0.001371 s: plift.is_lawful_applicative._match_3 0.000598 s: plift.is_lawful_applicative._match_4 0.000704 s: plift.is_lawful_applicative._match_4.equations._eqn_1 0.002270 s: sSet.as_preorder_hom.equations._eqn_1 0.001404 s: set.vadd_subset_vadd 0.003642 s: nat.rfind_x.equations._eqn_1 0.000182 s: equiv.nat_equiv_nat_sum_punit._match_2 0.000496 s: equiv.nat_equiv_nat_sum_punit._proof_1 0.000955 s: measure_theory.integrable_on_zero 0.004228 s: ideal.is_coatomic.equations._eqn_1 0.000247 s: slim_check.injective.testable 0.001346 s: parser.mono.remaining 0.000468 s: parser.mono.eof 0.000490 s: mul_action.quotient.equations._eqn_1 0.001420 s: floor_ring.cases_on 0.000535 s: equiv.Pi_congr' 0.000079 s: nat.ppred_eq_pred 0.001184 s: measure_theory.measure.inv_inv 0.006404 s: measure_theory.is_mul_right_invariant.inv 0.001337 s: measure_theory.is_mul_left_invariant_inv 0.096397 s: convex_cone.comap._proof_1 0.121105 s: convex_cone.comap._proof_2 0.105724 s: convex_cone.comap 0.112441 s: convex_cone.comap_id 0.015307 s: structomorph.symm._proof_1 0.003648 s: structomorph.symm._proof_2 0.004196 s: structomorph.mem_groupoid 0.002451 s: structomorph.symm._proof_3 0.006990 s: structomorph.symm 0.007746 s: structomorph.symm.equations._eqn_1 0.000085 s: alist.inhabited 0.000175 s: alist.inhabited.equations._eqn_1 0.000057 s: option.choice 0.000114 s: with_zero.comm_group_with_zero._proof_7 0.000432 s: order.ideal.is_prime.rec_on 0.000885 s: library_note._2193518629 0.000336 s: filter.map_ne_bot.equations._eqn_1 0.001394 s: fintype.coe_image_univ 0.000726 s: le_update_iff 0.013220 s: set.Icc_diff_pi_univ_Ioc_subset 0.000229 s: list.indexes_of 0.000233 s: list.indexes_of.equations._eqn_1 0.000200 s: rbnode.ibelow 0.008943 s: linear_equiv.coe_fn_to_continuous_linear_equiv_of_continuous_symm 0.002478 s: is_subgroup.coe_inv 0.002414 s: alg_equiv.to_linear_map_apply 0.001514 s: normed_add_torsor.cases_on 0.000480 s: normed_add_torsor.no_confusion_type 0.000383 s: add_hom.has_zero 0.000104 s: add_hom.inhabited 0.000355 s: quadratic_form.equivalent 0.000550 s: quadratic_form.isometry.refl._proof_1 0.000776 s: quadratic_form.isometry.refl._proof_2 0.000423 s: quadratic_form.isometry.refl._proof_3 0.000333 s: quadratic_form.isometry.refl._proof_4 0.001987 s: quadratic_form.isometry.refl._proof_5 0.003966 s: quadratic_form.isometry.refl 0.000520 s: quadratic_form.equivalent.refl 0.008894 s: padic_int.to_zmod_pow._proof_1 0.004850 s: padic_int.zmod_congr_of_sub_mem_span 0.007474 s: padic_int.to_zmod_pow._proof_2 0.000848 s: padic_int.to_zmod_pow 0.000561 s: padic_int.appr._main.equations._eqn_1 0.000077 s: padic_int.appr.equations._eqn_1 0.142765 s: padic_int.appr._main.equations._eqn_2 0.151437 s: padic_int.appr.equations._eqn_2 0.195429 s: padic_int.appr_lt 0.073064 s: padic_int.ker_to_zmod_pow 0.000088 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_4 0.000042 s: tactic.interactive.case_tag.match_result.combine.equations._eqn_4 0.003561 s: ring_equiv.sof_left_inverse._proof_3 0.003916 s: quotient_add_group.equiv_quotient_of_eq._proof_2 0.000654 s: uniform_space.completion.comm_ring._proof_10 0.000276 s: fin2.is_lt.succ.equations._eqn_1 0.067601 s: category_theory.functor.map_cocone_op._proof_1 0.063969 s: category_theory.functor.map_cocone_op 0.057866 s: category_theory.functor.map_cocone_op_inv_hom 0.009323 s: bundle_trivialization.piecewise._proof_1 0.003495 s: bundle_trivialization.piecewise._proof_2 0.000534 s: bundle_trivialization.piecewise._proof_3 0.000625 s: local_equiv.piecewise_source 0.009174 s: bundle_trivialization.piecewise._proof_4 0.007451 s: bundle_trivialization.piecewise 0.002469 s: bundle_trivialization.piecewise_le_of_eq._proof_2 0.002560 s: bundle_trivialization.piecewise_le_of_eq 0.002263 s: bundle_trivialization.piecewise_le_of_eq.equations._eqn_1 0.000709 s: isometric.neg._proof_1 0.000146 s: isometric.neg 0.001362 s: local_homeomorph.eventually_left_inverse' 0.000203 s: list.nodup_sublists_len 0.001627 s: continuous_linear_map.differentiable_at 0.001399 s: continuous_linear_map.fderiv 0.002606 s: continuous_linear_map.fderiv_within 0.001336 s: gfp_comp 0.000991 s: linear_ordered_comm_group_with_zero.npow._default.equations._eqn_1 0.003203 s: complete_distrib_lattice.bounded_distrib_lattice.equations._eqn_1 0.000211 s: mtry 0.000205 s: mtry.equations._eqn_1 0.000339 s: monad_io_environment 0.000152 s: monad_io_environment.sizeof 0.000047 s: monad_io_environment.has_sizeof_inst 0.001770 s: bundle_trivialization.eq_on 0.001466 s: list.Ico.filter_le_of_top_le 0.000758 s: list.Ico.filter_le_of_le_bot 0.001615 s: list.Ico.filter_le_of_le 0.000973 s: list.Ico.filter_le 0.000594 s: multiset.Ico.filter_le 0.000380 s: finset.Ico.filter_le 0.005780 s: category_theory.limits.types.colimit_cocone_is_colimit.equations._eqn_1 0.162190 s: continuous_multilinear_map.prodL.equations._eqn_1 0.001508 s: rel_embedding.swap.equations._eqn_1 0.000144 s: rack.pre_envel_group_rel'.assoc.inj 0.000145 s: rack.pre_envel_group_rel'.assoc.inj_arrow 0.000409 s: list.init._main.equations._eqn_2 0.000095 s: list.init.equations._eqn_2 0.019555 s: charted_space_core.continuous_to_fun 0.015507 s: charted_space_core.local_homeomorph._proof_4 0.001020 s: set.empty_card' 0.000063 s: tactic.new_goals.sizeof 0.000035 s: tactic.new_goals.has_sizeof_inst 0.000090 s: tactic.apply_cfg.sizeof 0.000014 s: tactic.apply_cfg.has_sizeof_inst 0.001931 s: equiv.perm.cycle_of_eq_one_iff 0.000934 s: equiv.perm.cycle_of_one 0.000271 s: formal_multilinear_series.change_origin_summable_aux_j._match_1 0.000054 s: formal_multilinear_series.change_origin_summable_aux_j 0.002360 s: sub_mul_action.is_scalar_tower 0.008989 s: submodule.is_scalar_tower 0.008355 s: submodule.is_scalar_tower.equations._eqn_1 0.002256 s: nonempty_fin_lin_ord.bot 0.003023 s: nonempty_fin_lin_ord.bot_le 0.000412 s: nonempty_fin_lin_ord.to_order_bot 0.005769 s: ulift.nonempty_fin_lin_ord._match_2 0.000574 s: ulift.nonempty_fin_lin_ord._proof_8 0.000085 s: ordnode.all._sunfold 0.003207 s: rel_iso.trans_apply 0.000234 s: function.semiconj.commute 0.001900 s: AddCommGroup.colimits.prequotient.rec_on 0.000254 s: finmap.disjoint.equations._eqn_1 0.004095 s: alist.mem_union 0.006402 s: finmap.mem_union 0.001981 s: finmap.disjoint_union_left 0.173437 s: has_ftaylor_series_up_to_on_pi' 0.003664 s: Mon.colimits.prequotient.no_confusion 0.000681 s: Mon.colimits.prequotient.of.inj 0.000424 s: Mon.colimits.prequotient.of.inj_arrow 0.000291 s: is_pretransitive.dcases_on 0.011117 s: nhds_add 0.001149 s: ring_hom.coe_srange 0.002058 s: ring_hom.srange_top_iff_surjective 0.000347 s: ring_hom.srange_top_of_surjective 0.000153 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.none_1.sizeof_spec 0.000239 s: monad_io_process.wait 0.003280 s: subalgebra.coe_eq_one 0.000198 s: polynomial.has_div.equations._eqn_1 0.002478 s: ulift.left_cancel_semigroup._proof_2 0.000736 s: bin_tree.has_variable_names._proof_1 0.000128 s: bin_tree.has_variable_names 0.000170 s: bin_tree.has_variable_names.equations._eqn_1 0.000387 s: set.surj_on.union_union 0.000721 s: set.bij_on.union 0.000266 s: add_units.ordered_add_comm_group._proof_1 0.001104 s: even_iff_two_dvd 0.000078 s: matrix.vec_empty.equations._eqn_1 0.003024 s: maps_to_omega_limit' 0.000811 s: maps_to_omega_limit 0.001663 s: list.choose_x._sunfold 0.001378 s: mul_inv_of_mul_self_cancel 0.076252 s: euclidean_geometry.eq_reflection_of_eq_subspace 0.000205 s: with_bot.bounded_lattice._proof_2 0.020253 s: list.sum_to_finset 0.001158 s: add_subgroup.mem_gmultiples 0.001654 s: add_equiv.to_Semigroup_iso_neg 0.001872 s: bounded_continuous_function.dist_lt_iff_of_nonempty_compact 0.002476 s: bounded_continuous_function.norm_lt_iff_of_nonempty_compact 0.003402 s: continuous_map.norm_lt_iff_of_nonempty 0.009049 s: category_theory.limits.limit.lift_post 0.000028 s: congr_arg_kind.fixed_no_param.inj 0.000024 s: congr_arg_kind.fixed_no_param.inj_arrow 0.000612 s: mvqpf.fix.dest.equations._eqn_1 0.001224 s: measure_theory.measure.count_apply_finite 0.003466 s: set.infinite.exists_subset_card_eq 0.002983 s: measure_theory.measure.le_sum_apply 0.006770 s: measure_theory.measure.le_count_apply 0.030744 s: measure_theory.measure.count_apply_infinite 0.006637 s: measure_theory.measure.count_apply_eq_top 0.005612 s: measure_theory.measure.count_apply_lt_top 0.000176 s: mcond.equations._eqn_1 0.000466 s: local_equiv.disjoint_union._proof_1 0.000968 s: local_equiv.disjoint_union._proof_3 0.000192 s: local_equiv.disjoint_union._proof_4 0.002425 s: local_equiv.disjoint_union 0.002907 s: local_equiv.disjoint_union.equations._eqn_1 0.001827 s: equiv.symm_swap 0.001947 s: times_cont_mdiff_on_snd 0.001957 s: smooth_on_snd 0.000677 s: open_subgroup.comap._proof_1 0.000144 s: num.to_znum_neg._main.equations._eqn_1 0.000032 s: num.to_znum_neg.equations._eqn_1 0.001862 s: bifunctor.comp_fst 0.000106 s: algebraic_geometry.SheafedSpace.forget._proof_2 0.000128 s: ordnode.find_ge_aux._match_1.equations._eqn_3 0.000152 s: fp.float_cfg.sizeof 0.001297 s: fp.float_cfg.mk.sizeof_spec 0.000315 s: function.surjective.exists₂ 0.000385 s: function.surjective.exists₃ 0.000144 s: is_irrefl.rec_on 0.000426 s: pos_num.shiftr._main.equations._eqn_6 0.000045 s: pos_num.shiftr.equations._eqn_6 0.000082 s: canonically_linear_ordered_add_monoid.has_sizeof_inst 0.000415 s: is_left_inv 0.000205 s: is_left_inv.dcases_on 0.000396 s: add_equiv.to_multiplicative''._proof_1 0.000130 s: add_equiv.to_multiplicative''._proof_2 0.000211 s: add_equiv.to_multiplicative''._proof_3 0.000191 s: add_equiv.to_multiplicative''._proof_4 0.014542 s: add_equiv.to_multiplicative''._proof_7 0.016853 s: add_equiv.to_multiplicative''._proof_8 0.011105 s: add_equiv.to_multiplicative'' 0.000246 s: mul_equiv.to_additive'' 0.033214 s: pi.ordered_cancel_comm_monoid._proof_13 0.000144 s: auto.case_option.cases_on 0.000062 s: auto.case_option.no_confusion_type 0.000244 s: auto.case_option.no_confusion 0.006984 s: set.sub_mem_Ico_iff_right 0.000121 s: rat.inv_mul_cancel 0.000111 s: topological_space.compacts.lattice._proof_1 0.104967 s: has_fderiv_at.clog 0.129800 s: differentiable_at.clog 0.066983 s: differentiable.clog 0.000245 s: except.no_confusion_type 0.000424 s: except.no_confusion 0.000149 s: except.ok.inj 0.000145 s: except.ok.inj_arrow 0.032601 s: polynomial.degree_derivative_lt 0.000274 s: decidable.subsingleton._match_2.equations._eqn_1 0.000467 s: pi.ordered_add_comm_group._proof_2 0.000226 s: pi.ordered_add_comm_group._proof_3 0.001911 s: pi.ordered_add_comm_group._proof_4 0.001759 s: pi.ordered_add_comm_group._proof_5 0.001357 s: pi.ordered_add_comm_group._proof_6 0.000985 s: pi.ordered_add_comm_group._proof_7 0.000695 s: pi.ordered_add_comm_group._proof_12 0.014446 s: pi.ordered_add_comm_group._proof_13 0.023290 s: pi.ordered_add_comm_group 0.001517 s: finsupp.inf_apply 0.012330 s: finsupp.support_inf 0.000161 s: additive.linear_ordered_add_comm_monoid._proof_1 0.001713 s: subgroup.has_mul.equations._eqn_1 0.001815 s: linear_ordered_add_comm_monoid.decidable_eq._default 0.001357 s: linear_ordered_cancel_add_comm_monoid.decidable_eq._default 0.046318 s: bilin_form.to_matrix_comp_left 0.044582 s: bilin_form.mul_to_matrix 0.000524 s: pgame.le_lt_decidable._main._pack._proof_3 0.103063 s: smooth_bump_function.nonneg 0.002148 s: star_mul_equiv.equations._eqn_1 0.000195 s: nat.lt_ge_by_cases._proof_1 0.010550 s: add_monoid_hom.mk.sizeof_spec 0.007937 s: category_theory.limits.is_limit.of_nat_iso.hom_of_cone 0.009220 s: category_theory.limits.is_limit.of_nat_iso.cone_of_hom_of_cone 0.005043 s: category_theory.limits.is_limit.of_nat_iso.hom_of_cone_of_hom 0.019663 s: category_theory.limits.is_limit.of_nat_iso.cone_of_hom_fac 0.003941 s: category_theory.limits.is_limit.of_nat_iso.cone_fac 0.025357 s: uniform_space_of_compact_t2._proof_3 0.010897 s: linear_ordered_ring.sizeof 0.024213 s: linear_ordered_ring.mk.sizeof_spec 0.000529 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj.equations._eqn_1 0.000190 s: preorder.topology.equations._eqn_1 0.013208 s: multilinear_map.curry_fin_finset._proof_1 0.008865 s: multilinear_map.curry_fin_finset._proof_2 0.010992 s: multilinear_map.curry_fin_finset._proof_3 0.007949 s: multilinear_map.curry_fin_finset._proof_4 0.008056 s: multilinear_map.curry_fin_finset._proof_5 0.010824 s: multilinear_map.curry_fin_finset._proof_6 0.007300 s: multilinear_map.curry_fin_finset._proof_8 0.000398 s: fin_sum_equiv_of_finset._proof_1 0.001796 s: fin_sum_equiv_of_finset 0.018371 s: multilinear_map.curry_fin_finset 0.038579 s: multilinear_map.curry_fin_finset_symm_apply 0.018274 s: fin_sum_equiv_of_finset_inl 0.006438 s: finset.order_emb_of_fin_mem 0.016109 s: fin_sum_equiv_of_finset_inr 0.035671 s: multilinear_map.curry_fin_finset_symm_apply_piecewise_const 0.029191 s: multilinear_map.curry_fin_finset_apply_const 0.005041 s: list.decidable_suffix._main 0.000047 s: list.decidable_suffix 0.000318 s: free_semigroup.semigroup.equations._eqn_1 0.000206 s: has_to_string.no_confusion 0.000104 s: has_to_string.mk.inj 0.000131 s: has_to_string.mk.inj_arrow 0.073192 s: _private.632238419.digits_last_aux 0.008691 s: nat.digits_last 0.000245 s: padic_int.padic.has_coe.equations._eqn_1 0.000173 s: filter.germ.semilattice_sup_bot._proof_1 0.010604 s: free_ring.hom_ext 0.002415 s: linear_map.quot_ker_equiv_of_surjective._proof_1 0.003898 s: linear_map.quot_ker_equiv_of_surjective 0.005578 s: linear_map.quot_ker_equiv_of_surjective.equations._eqn_1 0.014909 s: order_topology.regular_space._match_3.equations._eqn_2 0.000449 s: measurable_space.map_id 0.027915 s: category_theory.functor.map_homological_complex._proof_1 0.012250 s: category_theory.functor.map_homological_complex 0.021103 s: category_theory.functor.pushforward_homological_complex._proof_1 0.047476 s: category_theory.functor.pushforward_homological_complex._proof_2 0.110119 s: category_theory.functor.pushforward_homological_complex._proof_3 0.029407 s: category_theory.functor.pushforward_homological_complex 0.010271 s: category_theory.functor.pushforward_homological_complex_map_f 0.000256 s: is_local_min_on.inter 0.001338 s: has_variable_names.mk.sizeof_spec 0.000175 s: filter.nat.inhabited_countable_filter_basis._proof_3 0.006089 s: list.prod_inv 0.001028 s: finsupp.mk.inj_arrow 0.001927 s: polynomial.to_continuous_map_on.equations._eqn_1 0.001534 s: ordnode.all_node' 0.002935 s: ordnode.all_node3_l 0.000168 s: ordnode.all.equations._eqn_2 0.000633 s: ordnode.all._main.equations._eqn_1 0.000089 s: ordnode.all.equations._eqn_1 0.002807 s: ordnode.all_node4_l 0.002971 s: ordnode.all_rotate_l 0.000926 s: fintype.exists_max 0.000185 s: algebraic_geometry.PresheafedSpace.cases_on 0.000129 s: algebraic_geometry.PresheafedSpace.no_confusion_type 0.000336 s: algebraic_geometry.PresheafedSpace.no_confusion 0.002371 s: set.union_eq_compl_compl_inter_compl 0.000158 s: norm_cast.label.to_string._main 0.000010 s: norm_cast.label.to_string 0.000030 s: norm_cast.label.has_repr 0.000442 s: encodable.of_left_inverse.equations._eqn_1 0.006164 s: filter.unbounded_of_tendsto_at_top 0.002976 s: filter.unbounded_of_tendsto_at_bot' 0.014877 s: continuous_multilinear_map.dom_dom_congr._proof_3 0.000157 s: list.repr_aux.equations._eqn_1 0.000111 s: gpowers 0.000655 s: mem_gpowers 0.002132 s: linear_recurrence.sol_space.equations._eqn_1 0.002485 s: fin_enum.of_injective._proof_1 0.007305 s: direct_sum.id.equations._eqn_1 0.000746 s: category_theory.limits.parallel_pair_obj_one 0.000437 s: asymptotics.is_O_with.norm_left 0.025385 s: filter.germ.ordered_comm_group._proof_13 0.000435 s: set.nonempty.inl 0.003763 s: cInf_union 0.000244 s: unique.mk.inj_arrow 0.002253 s: unique.ext_iff 0.000573 s: le_mul_of_le_of_one_le 0.001416 s: mul_eq_one_iff' 0.006375 s: finset.prod_eq_one_iff_of_one_le' 0.006673 s: finset.prod_eq_one_iff_of_le_one' 0.133100 s: has_deriv_within_at.sqrt 0.235991 s: deriv_within_sqrt 0.095632 s: free_abelian_group.lift_monoid_coe_add_monoid_hom 0.021666 s: category_theory.limits.combine_cones_X_map 0.052820 s: Algebra.forget_preserves_limits 0.047628 s: Algebra.forget_preserves_limits.equations._eqn_1 0.002737 s: finset.inter_eq_right_iff_subset 0.000911 s: finset.prod_ite_eq 0.008958 s: finset.prod_pow_boole 0.002914 s: set.Ioc_union_Ioc_right 0.004210 s: linear_map.fst.equations._eqn_1 0.002680 s: lie_module_hom.comp._proof_1 0.002690 s: lie_module_hom.comp._proof_2 0.008356 s: lie_module_hom.comp._proof_3 0.004276 s: lie_module_hom.comp 0.003102 s: lie_module_equiv.trans._proof_1 0.005897 s: lie_module_equiv.trans._proof_2 0.002722 s: lie_module_equiv.trans._proof_3 0.002273 s: lie_module_equiv.trans._proof_4 0.003213 s: lie_module_equiv.trans._proof_5 0.016887 s: lie_module_equiv.trans 0.021322 s: lie_module_equiv.trans.equations._eqn_1 0.000738 s: pequiv.of_set_univ 0.003604 s: prod.complete_lattice._proof_3 0.006797 s: category_theory.ulift.equivalence_counit_iso_hom_app 0.000319 s: gmultiples_add_hom._proof_1 0.000189 s: gmultiples_add_hom._proof_2 0.001087 s: gmultiples_hom_apply 0.009235 s: gmultiples_add_hom._proof_3 0.006748 s: gmultiples_add_hom 0.007923 s: gmultiples_add_hom_apply 0.000690 s: finset.disjoint_val 0.003891 s: basic_smooth_bundle_core.sizeof 0.000745 s: is_left_regular.ne_zero 0.000471 s: category_theory.core.forget_functor_to_core 0.001236 s: subgroup.list_prod_mem 0.007676 s: equiv.perm.closure_is_swap 0.006164 s: equiv.perm.is_cycle_swap 0.000984 s: equiv.perm.is_swap.is_cycle 0.012585 s: equiv.perm.closure_is_cycle 0.001147 s: category_theory.simplicial_object.σ 0.000492 s: category_theory.simplicial_object.δ 0.007489 s: category_theory.simplicial_object.δ_comp_σ_of_gt 0.000525 s: pi.ordered_cancel_add_comm_monoid._proof_10 0.001473 s: category_theory.abelian.coimages.factor_thru_coimage.category_theory.mono 0.005111 s: category_theory.abelian.coimages.coimage_strong_epi_mono_factorisation._proof_2 0.000921 s: AddCommGroup.colimits.prequotient.add.inj 0.004411 s: tsum_coe_mul_geometric_of_norm_lt_1 0.000123 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_7 0.017675 s: ideal.has_mul.equations._eqn_1 0.000156 s: free_abelian_group.inhabited.equations._eqn_1 0.012944 s: category_theory.mono_over.full_map.equations._eqn_1 0.014214 s: ceil_coe 0.009902 s: dfinsupp.is_add_monoid_hom 0.005936 s: dfinsupp.sum_apply 0.000686 s: set.Icc.semilattice_sup_bot._proof_1 0.000597 s: set.Icc.semilattice_sup_bot._proof_2 0.001412 s: set.Icc.semilattice_sup_bot._proof_3 0.000976 s: set.Icc.semilattice_sup_bot._proof_4 0.000976 s: set.Icc.semilattice_sup_bot._proof_5 0.000775 s: set.Icc.semilattice_sup_bot._proof_6 0.000556 s: set.Icc.semilattice_sup_bot._proof_7 0.000740 s: set.Icc.semilattice_sup_bot._proof_8 0.008037 s: set.Icc.semilattice_sup_bot 0.000585 s: rel_hom.cases_on 0.003680 s: is_primitive_root.pow_ne_one_of_pos_of_lt 0.000870 s: tactic.rewrite_search.using_conv.app_addr.primitive.pack_unpack 0.000622 s: tactic.rewrite_search.using_conv.app_addr.nested.pack_unpack_0_0_0 0.000165 s: tactic.rewrite_search.using_conv.app_addr.pack_unpack_0_0 0.000192 s: function.surj_inv.equations._eqn_1 0.000157 s: option.has_mem.equations._eqn_1 0.002957 s: tendsto_neg_nhds_within_Iio 0.005104 s: add_monoid_hom.to_multiplicative''.equations._eqn_1 0.000098 s: turing.partrec_to_TM2.nat_end._main.equations._eqn_1 0.000036 s: turing.partrec_to_TM2.nat_end.equations._eqn_1 0.000048 s: rbnode.max 0.001345 s: rbnode.max._main.equations._eqn_6 0.000238 s: rbnode.max.equations._eqn_6 0.008632 s: pnat.ordered_cancel_comm_monoid.equations._eqn_1 0.000291 s: nnreal.real.has_measurable_pow.equations._eqn_1 0.003136 s: set.compl_Ioi 0.001021 s: interior_Iic 0.001063 s: interior_Icc 0.000038 s: interactive.loc.has_sizeof_inst 0.001205 s: linear_ordered_comm_group.decidable_eq._default 0.000087 s: algebraic_geometry.SheafedSpace.sheaf._proof_7 0.008555 s: real.sin_pi_div_eight 0.000559 s: set.Iic.semilattice_inf_top._proof_3 0.172067 s: polynomial.is_splitting_field.cases_on 0.000315 s: sym2.mem.other 0.000412 s: sym2.mem.other.equations._eqn_1 0.031880 s: continuous_map.nontrivial.equations._eqn_1 0.001353 s: list.mmap_with_index'_aux._main 0.000137 s: list.mmap_with_index'_aux 0.001623 s: list.mmap_with_index'_aux._main.equations._eqn_1 0.000237 s: list.mmap_with_index'_aux.equations._eqn_1 0.001125 s: semiquot.mk'.sizeof_spec 0.000616 s: coe_decidable_eq.equations._eqn_1 0.373892 s: category_theory.functor.map_presheaf._proof_1 0.041226 s: category_theory.functor.map_presheaf 0.036699 s: category_theory.functor.map_presheaf.equations._eqn_1 0.000075 s: NFA.eval 0.000158 s: NFA.eval.equations._eqn_1 0.007581 s: gcd_monoid_of_exists_gcd._proof_1 0.002205 s: gcd_monoid_of_exists_gcd._proof_2 0.000821 s: gcd_monoid_of_exists_gcd._proof_3 0.000393 s: gcd_monoid_of_exists_gcd._proof_4 0.001076 s: gcd_monoid_of_exists_gcd 0.000955 s: gcd_monoid_of_exists_gcd.equations._eqn_1 0.332965 s: circle.smooth_manifold_with_corners 0.038308 s: times_cont_mdiff_within_at.prod_map' 0.007331 s: times_cont_mdiff_within_at.prod_map 0.010878 s: times_cont_mdiff_at.prod_map 0.004526 s: times_cont_mdiff_at.prod_map' 0.005146 s: times_cont_mdiff.prod_map 0.665096 s: circle.lie_group 0.731702 s: circle.lie_group.equations._eqn_1 0.006092 s: writer_t.monad.equations._eqn_1 0.002503 s: CommRing.colimits.desc_fun_lift._main.equations._eqn_2 0.000464 s: CommRing.colimits.desc_fun_lift.equations._eqn_2 0.003504 s: equiv.perm.of_subtype_apply_of_not_mem 0.035015 s: equiv.perm.mem_iff_of_subtype_apply_mem 0.000263 s: turing.list_blank.head.equations._eqn_1 0.013983 s: category_theory.comonad.coalgebra.rec_on 0.000510 s: add_con.add_zero_class.equations._eqn_1 0.000177 s: rack.envel_group.inhabited 0.001428 s: filter_basis.filter._match_3.equations._eqn_1 0.000941 s: turing.TM1.stmt.write.inj 0.000631 s: turing.TM1.stmt.write.inj_arrow 0.000274 s: subsingleton_info.rec_on 0.001304 s: wseq.remove_nth._match_1 0.000158 s: wseq.remove_nth._match_2 0.001605 s: wseq.remove_nth._match_2.equations._eqn_1 0.002826 s: range_quadrant 0.001284 s: comm_monoid.cases_on 0.000120 s: monad_reader.has_sizeof_inst 0.001027 s: Module.colimits.prequotient.no_confusion_type 0.001986 s: Module.colimits.prequotient.no_confusion 0.000644 s: Module.colimits.prequotient.smul.inj 0.000334 s: Module.colimits.prequotient.smul.inj_arrow 0.000670 s: category_theory.abelian.images.mono_factor_thru_image 0.000649 s: category_theory.abelian.images.is_iso_factor_thru_image 0.001925 s: category_theory.abelian.images.is_iso_factor_thru_image.equations._eqn_1 0.000358 s: omega.nat.preterm.sub_free._main.equations._eqn_4 0.000316 s: one_one_equiv.symm 0.001588 s: one_one_equiv.trans 0.000524 s: equivalence_of_one_one_equiv 0.039093 s: quadratic_form.associated 0.123916 s: quadratic_form.to_matrix' 0.110918 s: quadratic_form.discr 0.030623 s: quadratic_form.comp._proof_2 0.014833 s: quadratic_form.comp._proof_3 0.015281 s: quadratic_form.comp._proof_4 0.014711 s: quadratic_form.comp._proof_5 0.003832 s: quadratic_form.comp 0.112892 s: quadratic_form.discr.equations._eqn_1 0.134178 s: quadratic_form.to_matrix'.equations._eqn_1 0.016896 s: quadratic_form.comp_apply 0.028526 s: quadratic_form.associated_comp 0.231972 s: quadratic_form.to_matrix'_comp 0.182581 s: quadratic_form.discr_comp 0.000282 s: is_equiv.dcases_on 0.000048 s: tactic.interactive.mono_cfg.cases_on 0.000060 s: tactic.interactive.mono_cfg.no_confusion_type 0.000248 s: tactic.interactive.mono_cfg.no_confusion 0.000125 s: tactic.interactive.mono_cfg.mk.inj 0.065162 s: algebra.linear_map.semimodule'.equations._eqn_1 0.005306 s: category_theory.costructured_arrow.map_id 0.036421 s: category_theory.Lan.loc._proof_1 0.000327 s: locally_constant.comm_ring._proof_10 0.016875 s: subalgebra.coe_algebra_map 0.065752 s: category_theory.functor.map_cone_op._proof_1 0.015019 s: category_theory.limits.image_map.no_confusion_type 0.000230 s: tactic.rewrite_search.using_conv.splice_result.obstructed.sizeof_spec 0.000702 s: int.div._main.equations._eqn_4 0.000099 s: int.div.equations._eqn_4 0.002415 s: is_add_monoid_hom.drec 0.002921 s: list.zip_with_comm 0.001433 s: matrix.alg_equiv_map_zero 0.000322 s: disjoint.sup_left 0.047248 s: disjoint.union_left 0.000381 s: zero_hom.sizeof 0.001051 s: zero_hom.mk.sizeof_spec 0.009050 s: reader_t.run_map 0.000631 s: reader_t.run_pure 0.082344 s: reader_t.is_lawful_monad 0.035610 s: id.is_lawful_monad 0.000662 s: slim_check.gen.is_lawful_monad 0.001389 s: pgame.relabel_move_left' 0.008344 s: pgame.relabel_move_left 0.003398 s: pgame.relabel_relabelling._proof_1 0.064690 s: tangent_map_id 0.012465 s: set.fintype_bind.equations._eqn_1 0.001123 s: list.range_core._main.equations._eqn_1 0.000083 s: list.range_core.equations._eqn_1 0.008311 s: list.argmax_cons 0.023827 s: list.index_of_argmax 0.008335 s: list.index_of_inj 0.004095 s: list.mem_argmax_iff 0.000765 s: list.argmax_eq_some_iff 0.004842 s: list.maximum_eq_coe_iff 0.000220 s: rbnode.max.equations._eqn_2 0.003980 s: set.top_eq_univ 0.021555 s: category_theory.presieve.is_separated_for_top 0.004707 s: game.add_comm_group.equations._eqn_1 0.005767 s: linear_isometry.comp 0.002050 s: set.pi_univ_Iic 0.001189 s: measure_theory.measure.pi_Iio_ae_eq_pi_Iic 0.001381 s: measure_theory.measure.univ_pi_Iio_ae_eq_Iic 0.001441 s: multiplicative.comm_semigroup.equations._eqn_1 0.005367 s: mv_polynomial.map_bind₂ 0.002810 s: parser.prog.orelse 0.001336 s: parser.prog.orelse.equations._eqn_1 0.000890 s: fin2.insert_perm._main.equations._eqn_3 0.000107 s: fin2.insert_perm.equations._eqn_3 0.000298 s: semimodule.restrict_scalars.normed_space_orig.equations._eqn_1 0.002101 s: category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk_assoc 0.000111 s: equiv.pnat_equiv_nat._proof_1 0.000439 s: SemiRing.has_limits.equations._eqn_1 0.002372 s: category_theory.preserves_limit_of_creates_limit_and_has_limit.equations._eqn_1 0.000279 s: pos_num.shiftl._main 0.000434 s: pos_num.shiftl._main.equations._eqn_2 0.000198 s: cardinal.is_regular.equations._eqn_1 0.009277 s: linear_map.ker_pi 0.057900 s: le_of_nat_ceil_le 0.013035 s: polynomial.iterate_derivative_map 0.000169 s: associates.has_one.equations._eqn_1 0.000711 s: semiquot.pure_inj 0.000622 s: locally_constant.coe_inj 0.001160 s: ring_hom.eq_int_cast' 0.003346 s: Mon_.limit_cone_is_limit._proof_1 0.002497 s: Mon_.forget_map 0.057670 s: Mon_.limit_cone_is_limit._proof_2 0.103347 s: Mon_.limit_cone_is_limit._proof_3 0.229375 s: Mon_.limit_cone_is_limit._proof_4 0.268149 s: Mon_.limit_cone_is_limit._proof_5 0.074060 s: Mon_.limit_cone_is_limit 0.000727 s: Mon_.has_limits 0.000148 s: category_theory.subcanonical_types_grothendieck_topology 0.033478 s: category_theory.types_grothendieck_topology_eq_canonical 0.000253 s: pfun.inhabited 0.000106 s: pfun.inhabited.equations._eqn_1 0.000225 s: monad_reader.rec_on 0.000028 s: category_theory.limits.walking_parallel_pair.inhabited 0.000300 s: monoid_hom.has_coe_to_mul_hom.equations._eqn_1 0.002676 s: supr_eq_dif 0.000200 s: supr_eq_if 0.003967 s: category_theory.strong_epi.rec_on 0.001281 s: finprod_eq_prod 0.000727 s: filter.eventually.exists_measurable_mem 0.001106 s: list.foldr_rec_on 0.001329 s: list.foldr_rec_on.equations._eqn_1 0.001099 s: fn_min_add_fn_max 0.011815 s: monoid_algebra.lift_apply' 0.000031 s: punit.complete_boolean_algebra._proof_1 0.000045 s: punit.complete_boolean_algebra._proof_2 0.000182 s: punit.complete_boolean_algebra._proof_3 0.000467 s: punit.complete_boolean_algebra._proof_4 0.000015 s: punit.complete_boolean_algebra._proof_5 0.000013 s: punit.complete_boolean_algebra._proof_6 0.000011 s: punit.complete_boolean_algebra._proof_7 0.000574 s: punit.complete_boolean_algebra._proof_8 0.000031 s: punit.complete_boolean_algebra._proof_9 0.000014 s: punit.complete_boolean_algebra._proof_10 0.000290 s: punit.complete_boolean_algebra._proof_11 0.002874 s: punit.complete_boolean_algebra._proof_13 0.001280 s: punit.complete_boolean_algebra._proof_14 0.000016 s: punit.complete_boolean_algebra._proof_15 0.000012 s: punit.complete_boolean_algebra._proof_17 0.006742 s: punit.complete_boolean_algebra._proof_18 0.000053 s: punit.complete_boolean_algebra._proof_19 0.000509 s: punit.complete_boolean_algebra._proof_20 0.000030 s: punit.complete_boolean_algebra._proof_21 0.000346 s: punit.complete_boolean_algebra._proof_22 0.000021 s: punit.complete_boolean_algebra._proof_23 0.010027 s: punit.complete_boolean_algebra 0.002990 s: punit.top_eq 0.000492 s: multiset.choose.equations._eqn_1 0.003852 s: associates.partial_order.equations._eqn_1 0.042924 s: nnreal.sub_lt_iff_lt_add 0.008877 s: reader_t.goto_mk_label 0.000630 s: reader_t.run_monad_lift 0.000168 s: monad_lift_refl 0.007255 s: reader_t.is_lawful_monad_cont._proof_3 0.000115 s: vm_obj_kind.closure.sizeof_spec 0.006176 s: category_theory.iso.to_equiv_comp 0.000605 s: int.neg_mul_neg 0.001226 s: rbnode.ins._match_2.equations._eqn_1 0.004880 s: equiv.perm.same_cycle.decidable_rel._match_1.equations._eqn_1 0.007637 s: category_theory.triangulated.inv_rot_comp_rot_inv_app_hom₂ 0.000170 s: fin2.no_confusion_type 0.000137 s: rsimp.config.mk.sizeof_spec 0.000052 s: enat.has_zero.equations._eqn_1 0.000313 s: add_monoid.in_closure.rec_on 0.000265 s: add_monoid.subset_closure 0.000311 s: add_monoid.closure.is_add_submonoid 0.005739 s: add_monoid.image_closure 0.000537 s: infinite.nontrivial._match_2.equations._eqn_1 0.000986 s: wide_subquiver.quiver.equations._eqn_1 0.002121 s: category_theory.simplicial_object.sk.equations._eqn_1 0.010526 s: category_theory.over.iterated_slice_equiv_counit_iso 0.002200 s: gcd_monoid.sizeof 0.000113 s: gcd_monoid.has_sizeof_inst 0.001834 s: with_top.densely_ordered._match_3.equations._eqn_1 0.011822 s: dfinsupp.lsingle.equations._eqn_1 0.000069 s: omega.int.push_neg.equations._eqn_1 0.001682 s: category_theory.differential_object.category_of_differential_objects.equations._eqn_1 0.003497 s: matrix.mul_vec_zero 0.047579 s: subring.to_linear_ordered_comm_ring.equations._eqn_1 0.010558 s: measure_theory.outer_measure.sup_apply 0.000096 s: algebraic_geometry.SheafedSpace.topological_space._proof_5 0.000864 s: vector_space.dim.equations._eqn_1 0.000066 s: rat.semiring.equations._eqn_1 0.000231 s: sigma.has_repr.equations._eqn_1 0.009354 s: pgame.relabelling.symm._sunfold 0.001889 s: category_theory.limits.binary_bicone.no_confusion 0.005478 s: ordered_ring.sizeof 0.005089 s: mv_polynomial.map_alg_equiv.equations._eqn_1 0.002379 s: separated_by_continuous 0.000948 s: Pi.t2_space._match_1 0.000324 s: slim_check.sampleable.cases_on 0.000188 s: slim_check.sampleable.no_confusion_type 0.000358 s: slim_check.sampleable.no_confusion 0.001154 s: function.embedding.inv_of_mem_range_surjective 0.000333 s: category_theory.abelian.pseudoelement.inhabited 0.000067 s: num.one_bits._main 0.000092 s: num.one_bits._main.equations._eqn_1 0.001600 s: equiv.sigma_congr_right_refl 0.000317 s: equiv.perm.sigma_congr_right_refl 0.004209 s: equiv.perm.sigma_congr_right_one 0.000548 s: equiv.perm.sigma_congr_right_hom._proof_1 0.001192 s: equiv.perm.sigma_congr_right_trans 0.005097 s: equiv.perm.sigma_congr_right_mul 0.001193 s: equiv.perm.sigma_congr_right_hom._proof_2 0.001585 s: equiv.perm.sigma_congr_right_hom 0.012709 s: ring.not_is_field_iff_exists_prime 0.005608 s: field.sizeof 0.000136 s: field.has_sizeof_inst 0.000853 s: normed_field.sizeof 0.000039 s: normed_field.has_sizeof_inst 0.000153 s: nondiscrete_normed_field.sizeof 0.000045 s: nondiscrete_normed_field.has_sizeof_inst 0.000138 s: normed_algebra.has_sizeof_inst 0.054396 s: is_R_or_C.sizeof 0.000150 s: category_theory.limits.has_finite_wide_pushouts.out 0.000108 s: category_theory.limits.has_colimits_of_shape_wide_pushout_shape 0.000508 s: restrict_scalars.semi_normed_space.equations._eqn_1 0.023251 s: linear_ordered_comm_ring.cases_on 0.000071 s: flow.inhabited._proof_1 0.000031 s: flow.inhabited._proof_2 0.000646 s: flow.inhabited 0.000561 s: flow.inhabited.equations._eqn_1 0.008520 s: hahn_series.semimodule.equations._eqn_1 0.000129 s: num.cmp._main.equations._eqn_3 0.001214 s: sylow.fixed_points_mul_left_cosets_equiv_quotient._proof_1 0.008203 s: continuous_linear_map.op_norm_le_of_shell 0.003299 s: continuous_linear_map.op_norm_le_of_ball 0.002619 s: continuous_linear_map.op_norm_le_of_nhds_zero 0.000323 s: category_theory.simplicial_object.truncated.category_theory.limits.has_colimits_of_shape 0.000602 s: is_symm_op 0.000268 s: is_symm_op.drec 0.000329 s: ordnode.sized.node3_l 0.002888 s: 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algebraic_geometry.SheafedSpace.topological_space._proof_3 0.000568 s: vector.reverse._proof_1 0.000566 s: list.all_nil 0.000105 s: monad_io_terminal.get_line 0.000040 s: io.get_line 0.004834 s: mv_polynomial.bind₂_bind₂ 0.000510 s: category_theory.reflective.cases_on 0.000304 s: category_theory.reflective.no_confusion_type 0.000947 s: category_theory.limits.colim_obj 0.007860 s: free_algebra.rel.drec_on 0.010166 s: monoid_hom.comm_group._proof_6 0.001115 s: ordnode.find_lt_aux._main.equations._eqn_2 0.000481 s: ordnode.find_lt_aux.equations._eqn_2 0.003827 s: category_theory.transfer_nat_trans_self_symm_of_iso 0.001446 s: semi_normed_group.normed_add_torsor.equations._eqn_1 0.000511 s: category_theory.limits.image_factorisation.cases_on 0.000347 s: category_theory.limits.image_factorisation.no_confusion_type 0.000898 s: category_theory.limits.image_factorisation.no_confusion 0.027173 s: Mon.colimits.monoid_colimit_type.equations._eqn_1 0.000091 s: or_of_or_of_imp_right 0.007002 s: euclidean_domain.mul_div_assoc 0.062128 s: euclidean_domain.lcm_eq_zero_iff 0.014825 s: category_theory.limits.wide_pullback_shape.diagram_iso_wide_cospan._proof_1 0.011891 s: prod_mk_sum 0.000274 s: dmatrix.inhabited 0.000347 s: dmatrix.inhabited.equations._eqn_1 0.002582 s: sym2.map._proof_1 0.000251 s: sym2.map 0.000280 s: sym2.map.equations._eqn_1 0.000053 s: nat.has_mul.equations._eqn_1 0.000102 s: list.last'.equations._eqn_1 0.000470 s: list.last'._main.equations._eqn_2 0.000076 s: list.last'.equations._eqn_2 0.004172 s: list.mem_last'_eq_last 0.000252 s: list.mem_of_mem_last' 0.000116 s: right_add_coset.equations._eqn_1 0.000973 s: right_add_coset_assoc 0.000334 s: asymptotics.is_O.of_neg_left 0.000561 s: nat.partrec.code.encode_code._main.equations._eqn_3 0.000145 s: nat.partrec.code.encode_code.equations._eqn_3 0.000168 s: turing.partrec_to_TM2.cont'.rec_on 0.000628 s: module.finite.rec_on 0.001155 s: submodule.to_linear_ordered_add_comm_group._proof_5 0.001226 s: category_theory.split_epi.epi 0.000202 s: Module.colimits.prequotient.zero.inj 0.000185 s: Module.colimits.prequotient.zero.inj_arrow 0.015147 s: category_theory.monad.forget_creates_limits.lifted_cone_is_limit.equations._eqn_1 0.005480 s: Class.insert_hom 0.000090 s: erased.has_repr 0.000701 s: parser.mono.seq 0.000292 s: parser.mono.many1 0.000122 s: omega.ee.rec_on 0.001170 s: category_theory.limits.mono_factorisation.of_comp_iso_m 0.000769 s: category_theory.limits.is_iso_zero_equiv_iso_zero._proof_1 0.281963 s: fderiv.log 0.000182 s: add_equiv.add_equiv_of_unique_of_unique._proof_1 0.000137 s: add_equiv.add_equiv_of_unique_of_unique._proof_2 0.000212 s: add_equiv.add_equiv_of_unique_of_unique._proof_3 0.000314 s: add_equiv.add_equiv_of_unique_of_unique 0.000210 s: ring_equiv.ring_equiv_of_unique_of_unique._proof_1 0.000205 s: ring_equiv.ring_equiv_of_unique_of_unique._proof_2 0.000302 s: ring_equiv.ring_equiv_of_unique_of_unique._proof_3 0.000182 s: ring_equiv.ring_equiv_of_unique_of_unique._proof_4 0.001088 s: ring_equiv.ring_equiv_of_unique_of_unique 0.000338 s: ring_equiv.unique._proof_1 0.024020 s: monoid_hom.lift_of_right_inverse._proof_1 0.004117 s: monoid_hom.lift_of_right_inverse_aux_comp_apply 0.012315 s: monoid_hom.lift_of_right_inverse._proof_3 0.011163 s: monoid_hom.lift_of_right_inverse._proof_4 0.006535 s: monoid_hom.lift_of_right_inverse 0.003561 s: monoid_hom.lift_of_right_inverse_comp_apply 0.003516 s: monoid_hom.lift_of_right_inverse_comp 0.000247 s: dim_pos 0.010993 s: AddGroup.forget_reflects_isos 0.008505 s: AddGroup.forget_reflects_isos.equations._eqn_1 0.014949 s: list.nth_le_join 0.009312 s: mmap._main._pack._wf_rec_mk_dec_tactic._aux_1 0.003970 s: vector.mmap._main._pack 0.000254 s: vector.mmap._main 0.000066 s: vector.mmap._main._pack._proof_1 0.008424 s: vector.mmap._main._pack.equations._eqn_2 0.001877 s: vector.mmap._main.equations._eqn_2 0.000422 s: add_con.quotient.decidable_eq 0.000299 s: add_con.quotient.decidable_eq.equations._eqn_1 0.000254 s: semiconj_by.neg_left_iff 0.000151 s: commute.neg_left_iff 0.000342 s: ae_measurable.inv 0.001808 s: measure_theory.ae_eq_fun.inv_mk 0.000462 s: category_theory.limits.binary_bicone.to_cocone.equations._eqn_1 0.001092 s: _private.2781075011.prime_ideals_equiv_impl._sunfold 0.000140 s: encodable.unit.equations._eqn_1 0.000432 s: equiv.right_inverse_symm 0.014113 s: category_theory.differential_object.has_zero_object._proof_3 0.001095 s: pfunctor.id_map 0.000806 s: pfunctor.obj.is_lawful_functor 0.000304 s: state_t.lift 0.000093 s: state_t.has_monad_lift 0.000374 s: swap_right._main 0.000118 s: swap_right 0.000443 s: state_t.monad_writer._match_1 0.000322 s: state_t.monad_writer._match_2 0.000432 s: state_t.monad_writer 0.000421 s: state_t.monad_writer.equations._eqn_1 0.000029 s: tactic.tfae.arrow.right.inj 0.000024 s: tactic.tfae.arrow.right.inj_arrow 0.000748 s: array.mmap_core._main._proof_1 0.004290 s: array.mmap_core._main.equations._eqn_2 0.000178 s: list.mall 0.000041 s: list.mband 0.001848 s: category_theory.Mat_.category_theory.category.equations._eqn_1 0.002646 s: finset.prod_dite_eq' 0.000509 s: finset.prod_ite_eq' 0.000360 s: parser.bounded.cases_on 0.001236 s: galois_insertion.l_infi_u 0.080719 s: submonoid.map_infi_comap_of_surjective 0.000135 s: turing.partrec_to_TM2.K'.elim._main.equations._eqn_4 0.020541 s: parser.mono.foldl_core._main 0.000643 s: parser.mono.foldl_core._main.equations._eqn_1 0.040721 s: _private.2316404473.make_monospaced._main.equations._eqn_3 0.008003 s: fin.univ_filter_zero_lt 0.003069 s: category_theory.adjunction.mk_of_hom_equiv_counit_app 0.000598 s: mul_equiv.to_additive''.equations._eqn_1 0.000364 s: fin.nonempty_fin_lin_ord._proof_6 0.000518 s: monoid.foldl.mk.equations._eqn_1 0.000202 s: subtype.simps.coe.equations._eqn_1 0.002139 s: set.disjoint_of_subset_left 0.000275 s: no_zero_smul_divisors.rec_on 0.001921 s: matrix.diag_transpose 0.002968 s: linear_map.snd_eq_coprod 0.011132 s: direct_sum.smul_comm_class.equations._eqn_1 0.002854 s: pgame.short_of_aux._main._proof_3 0.000434 s: pgame.short_of_aux._main._proof_4 0.000434 s: pgame.short_of_aux._main._proof_5 0.000392 s: pgame.short_of_aux._main._proof_6 0.007926 s: pgame.short_of_aux._main.equations._eqn_2 0.004289 s: category_theory.functor.const.op_obj_op_hom_app 0.000145 s: slim_check.var_testable._match_1._proof_1 0.003276 s: dfinsupp.support_subset_iff 0.010909 s: neg_lt_iff_pos_add 0.156529 s: neg_lt_self_iff 0.082521 s: lt_neg_self_iff 0.000230 s: add_units.linear_order 0.000971 s: add_units.coe_le_coe 0.028880 s: add_units.max_coe 0.000029 s: slim_check.slim_check_cfg.quiet._default 0.000034 s: slim_check.slim_check_cfg.quiet._default.equations._eqn_1 0.000056 s: category_theory.limits.walking_parallel_pair_hom.right.inj 0.000029 s: category_theory.limits.walking_parallel_pair_hom.right.inj_arrow 0.140935 s: padic.of_rat.equations._eqn_1 0.000788 s: qpf.fix.rec 0.000170 s: qpf.fix.dest 0.019838 s: pi.cancel_monoid._proof_4 0.000316 s: function.mul_support_mul 0.010498 s: list.tendsto_remove_nth 0.002131 s: linear_map.dfinsupp_sum_apply 0.000209 s: ordnode.split_at_aux._match_2.equations._eqn_1 0.000272 s: add_commute.units_neg_right_iff 0.002092 s: set.union_distrib_Inter_right 0.000129 s: int.coe_nat_succ_pos 0.000434 s: set.one_mem_one 0.001224 s: filter.tendsto_Icc_at_bot_at_bot.equations._eqn_1 0.000162 s: measurable_singleton_class.rec_on 0.003461 s: AddCommGroup.has_zero_object._proof_1 0.000137 s: is_simple_lattice.complete_boolean_algebra._proof_1 0.000251 s: _private.3307973695.cycle_f._main.equations._eqn_1 0.000183 s: _private.3307973695.cycle_f.equations._eqn_1 0.007065 s: multiples_hom.equations._eqn_1 0.000486 s: nat.cast._main.equations._eqn_1 0.000269 s: nat.cast.equations._eqn_1 0.001759 s: category_theory.differential_object.shift_counit_iso_inv 0.031503 s: list.chain_iff_nth_le 0.000298 s: onote.mul._main.equations._eqn_2 0.000062 s: onote.mul.equations._eqn_2 0.000077 s: bool.bounded_lattice._proof_1 0.000062 s: bool.bounded_lattice._proof_2 0.003563 s: bool.bounded_lattice._proof_3 0.000334 s: bool.bounded_lattice._proof_4 0.000427 s: bool.bounded_lattice._proof_5 0.000398 s: bool.bounded_lattice._proof_6 0.000644 s: bool.bounded_lattice._proof_7 0.000340 s: bool.bounded_lattice._proof_8 0.000460 s: bool.ff_le 0.000030 s: bool.bounded_lattice._proof_12 0.005831 s: bool.bounded_lattice 0.004075 s: bool.bounded_lattice.equations._eqn_1 0.000757 s: wseq.remove_nth._match_1.equations._eqn_1 0.000651 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_7 0.000465 s: filter.germ.has_scalar'.equations._eqn_1 0.000568 s: quaternion_algebra.mk.inj 0.012035 s: lt_neg_iff_add_neg 0.010925 s: category_theory.mono_over.top_le_pullback_self._proof_3 0.000123 s: int.to_nat_zero 0.010150 s: category_theory.comma.mk.inj_eq 0.027188 s: subgroup.map_bot 0.000346 s: omega.nat.is_nnf._main.equations._eqn_1 0.000719 s: measurable_equiv.set.range_inl._match_1._proof_1 0.000312 s: asymptotics.is_O_with.congr_right 0.008105 s: add_monoid_algebra.lift_nc.equations._eqn_1 0.000241 s: wseq.destruct_join.aux._main 0.000038 s: wseq.destruct_join.aux 0.000423 s: wseq.destruct_join.aux._main.equations._eqn_2 0.000151 s: wseq.destruct_join.aux.equations._eqn_2 0.010470 s: category_theory.structured_arrow.mk_id_initial._proof_1 0.002053 s: subtype.coe_eq_iff 0.019833 s: equiv.units_equiv_ne_zero.equations._eqn_1 0.001987 s: category_theory.sum._match_3.equations._eqn_1 0.005244 s: add_units.map.equations._eqn_1 0.002969 s: add_monoid_hom.mk'_apply 0.000815 s: add_units.mk_coe 0.028014 s: add_equiv.prod_add_units._match_1 0.000090 s: submonoid.inhabited 0.007920 s: category_theory.monoidal_category.tensor._proof_1 0.001471 s: category_theory.monoidal_category.tensor 0.000956 s: category_theory.monoidal_functor.μ_iso 0.001879 s: category_theory.monoidal_functor.μ_nat_iso._proof_1 0.014332 s: category_theory.monoidal_functor.μ_nat_iso 0.000185 s: pequiv.semilattice_inf_bot._proof_2 0.002521 s: fin_enum.fintype._proof_1 0.000120 s: fin_enum.fintype 0.000265 s: fin_enum.fintype.equations._eqn_1 0.001455 s: function.surjective.mul_action_with_zero._proof_2 0.000564 s: gsmul.is_add_group_hom 0.000554 s: list.mmap_accumr._match_2.equations._eqn_1 0.000699 s: int.has_variable_names._proof_1 0.000091 s: int.has_variable_names 0.014790 s: complex.cos_int_mul_two_pi_add_pi 0.000712 s: set.Icc_subset_Ioo 0.004125 s: CommMon_.unique_hom_from_trivial.equations._eqn_1 0.000296 s: category_theory.limits.binary_biproduct.bicone.equations._eqn_1 0.000370 s: equiv.comm_semigroup._proof_1 0.000488 s: equiv.comm_semigroup 0.000761 s: equiv.comm_semigroup.equations._eqn_1 0.000305 s: prod.bitraversable.equations._eqn_1 0.000218 s: holor_index.assoc_right.equations._eqn_1 0.005824 s: holor_index.take_take 0.001310 s: filter.mem_cocompact 0.000030 s: tactic.simp_config.beta._default 0.000076 s: tactic.simp_config.beta._default.equations._eqn_1 0.005322 s: finsupp.sum_finsupp_lequiv_prod_finsupp_symm_inl 0.001004 s: colex.has_lt.lt.is_incomp_trans 0.000147 s: colex.has_lt.lt.is_strict_weak_order 0.000170 s: colex.has_lt.lt.is_strict_weak_order.equations._eqn_1 0.001327 s: continuous_map.has_sup.equations._eqn_1 0.001674 s: omega.int.preterm.repr._main.equations._eqn_2 0.001566 s: category_theory.quotient.functor_obj_as 0.195632 s: complex.cos_add_cos 0.029958 s: real.cos_add_cos 0.000123 s: tactic.itauto.and_kind.cmp 0.001423 s: tactic.itauto.prop.cmp 0.000079 s: tactic.itauto.prop.has_lt 0.000056 s: tactic.itauto.prop.has_lt.equations._eqn_1 0.001149 s: finset.eq_univ_of_card 0.000578 s: cardinal.mk_subtype_of_equiv 0.000773 s: conj_classes.map._proof_1 0.003105 s: zsqrtd.norm_monoid_hom 0.000740 s: reader_t.mk_label._main.equations._eqn_1 0.000652 s: ordnode.merge.equations._eqn_1 0.000553 s: language.mem_supr 0.129316 s: poly_equiv_tensor.equations._eqn_1 0.013047 s: ae_measurable.div 0.000178 s: polynomial.has_separable_contraction.contraction 0.000125 s: has_vadd.cases_on 0.000087 s: has_vadd.no_confusion_type 0.000296 s: has_vadd.no_confusion 0.002928 s: ideal.is_prime.drec_on 0.007977 s: rack.envel_group.div_inv_monoid.equations._eqn_1 0.000078 s: erased.join 0.000134 s: erased.join.equations._eqn_1 0.031457 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_comp.equations._eqn_1 0.000121 s: stream.interleave 0.000179 s: stream.interleave.equations._eqn_1 0.008647 s: stream.interleave_eq 0.003033 s: stream.nth_interleave_right 0.001063 s: stream.mem_interleave_right 0.013706 s: equiv.perm.subtype_congr.trans 0.005802 s: equiv.perm_congr_trans 0.002929 s: equiv.perm.extend_domain_trans 0.002787 s: equiv.perm.extend_domain_mul 0.000308 s: turing.TM0to1.Λ'.inhabited.equations._eqn_1 0.000344 s: ordinal.has_add._match_10.equations._eqn_1 0.002009 s: multiset.inf_eq_inter 0.000112 s: rat.neg.equations._eqn_1 0.000719 s: finset.image_bUnion_filter_eq 0.000233 s: pfunctor.M_intl.mk.inj_arrow 0.000094 s: wseq.coe_seq 0.000068 s: wseq.coe_seq.equations._eqn_1 0.000357 s: list.decidable_sublist._match_1.equations._eqn_1 0.000395 s: psigma.map._main 0.000151 s: psigma.map 0.000340 s: psigma.map._main.equations._eqn_1 0.000277 s: psigma.map.equations._eqn_1 0.000138 s: num.div2._main 0.000026 s: num.div2 0.000230 s: num.div2._main.equations._eqn_2 0.000071 s: num.div2.equations._eqn_2 0.001242 s: quot.map₂_mk 0.001511 s: CommGroup.limit_cone_is_limit 0.001080 s: CommGroup.forget₂_CommMon_preserves_limits 0.000980 s: CommGroup.forget₂_CommMon_preserves_limits.equations._eqn_1 0.052955 s: hyperreal.not_infinite_of_infinitesimal 0.000112 s: hyperreal.not_infinitesimal_of_infinite 0.000123 s: hyperreal.not_infinitesimal_of_infinite_pos 0.015520 s: sesq_form_of_inner.equations._eqn_1 0.235300 s: real.convex_iff_is_preconnected 0.206196 s: convex.is_preconnected 0.021502 s: category_theory.limits.preserves_equalizer.iso 0.007397 s: category_theory.limits.preserves_equalizer.iso_hom 0.002107 s: category_theory.limits.equalizer_comparison.category_theory.is_iso 0.002469 s: category_theory.limits.equalizer_comparison.category_theory.is_iso.equations._eqn_1 0.000680 s: ext_chart_at_source_mem_nhds_within 0.001332 s: category_theory.is_split_coequalizer.cases_on 0.000314 s: bitvec.cong._main 0.000043 s: bitvec.cong 0.000930 s: nat.sub_eq_sub_min 0.000547 s: nat.sub_add_min_cancel 0.000233 s: bitvec.shl._proof_1 0.000213 s: bitvec.shl 0.004718 s: zmod.eq_one_iff_odd 0.000428 s: category_theory.creates_colimits_of_shape.sizeof 0.000184 s: category_theory.creates_colimits_of_shape.has_sizeof_inst 0.000447 s: list.mfirst._main 0.000059 s: list.mfirst 0.000400 s: list.mfirst._main.equations._eqn_1 0.000111 s: list.mfirst.equations._eqn_1 0.001831 s: category_theory.Ran.loc_obj 0.000304 s: tactic.ring2.csring_expr.mul.inj 0.000311 s: tactic.ring2.csring_expr.mul.inj_eq 0.002494 s: Top.subpresheaf_to_Types_obj 0.007159 s: add_group_with_zero_nhd.nhds_eq 0.004967 s: add_group_with_zero_nhd.has_continuous_add._match_1 0.000095 s: zsqrtd.has_neg.equations._eqn_1 0.000193 s: lazy_list.zip 0.000795 s: prod.bounded_distrib_lattice._proof_9 0.000305 s: bin_tree.rec_on 0.000979 s: set.indicator_eq_self_of_superset 0.000936 s: norm_num.int_cast_bit1 0.001443 s: rel_iso.to_rel_embedding.equations._eqn_1 0.001344 s: slim_check.nat_le.sampleable._match_1 0.000960 s: totally_bounded_subset 0.005232 s: totally_bounded_preimage 0.001265 s: quiver.path.length._sunfold 0.000147 s: option.cons.equations._eqn_1 0.068931 s: CommRing.forget_preserves_limits.equations._eqn_1 0.000395 s: except_t.adapt.equations._eqn_1 0.000227 s: list.find_index.equations._eqn_1 0.000146 s: tactic.abel.smul 0.003182 s: can_lift.mk.inj 0.000325 s: can_lift.mk.inj_arrow 0.000242 s: mvqpf.quot1.inhabited 0.000106 s: inhabited_uniform_space 0.000113 s: inhabited_uniform_space.equations._eqn_1 0.002261 s: parser.unfailing.orelse 0.000172 s: zero_hom.has_sizeof_inst 0.003134 s: equiv.perm.subtype_congr.right_apply_subtype 0.000324 s: monad_io_file_system.file_exists 0.000036 s: io.fs.file_exists 0.094837 s: has_fderiv_at.csin 0.098407 s: differentiable_at.csin 0.000775 s: finset.card_def 0.024095 s: category_theory.mono_over.w_assoc 0.000063 s: nat.partrec.code.const._sunfold 0.000832 s: category_theory.limits.is_limit_of_reflects 0.021063 s: category_theory.limits.preserves_limit_of_reflects_of_preserves 0.003839 s: category_theory.limits.preserves_limits_of_shape_of_reflects_of_preserves 0.009785 s: equiv.perm.same_cycle.decidable_rel._match_2.equations._eqn_1 0.002211 s: category_theory.limits.map_pair_iso_inv_app 0.004074 s: ring.cases_on 0.003191 s: ring.no_confusion_type 0.002558 s: ring.no_confusion 0.006921 s: ring.mk.inj 0.000098 s: tactic.tfae.arrow.left_right.inj_arrow 0.000572 s: turing.TM1to1.tr_supp 0.000385 s: set.union_def 0.015063 s: category_theory.equivalence.unit_app_inverse 0.008345 s: category_theory.monad.algebra.iso_mk.equations._eqn_1 0.001384 s: parser.decorate_errors_success 0.000385 s: parser.decorate_error_success 0.000158 s: alist.has_sizeof_inst 0.011701 s: real.summable_nat_pow_inv 0.001759 s: real.not_summable_nat_cast_inv 0.004288 s: real.not_summable_one_div_nat_cast 0.086466 s: real.tendsto_sum_range_one_div_nat_succ_at_top 0.010082 s: uniform_space.completion.comm_ring._proof_13 0.000081 s: omega.int.neg_free._sunfold 0.000075 s: omega.ee.drop.sizeof_spec 0.012247 s: sSet.horn._proof_1 0.021691 s: sSet.horn._proof_2 0.016305 s: sSet.horn 0.004728 s: category_theory.adjunction.core_hom_equiv.cases_on 0.000678 s: add_submonoid.closure_mono 0.001504 s: set.neg_neg 0.003567 s: add_submonoid.mem_closure_neg 0.000369 s: set.union_neg 0.007733 s: add_subgroup.closure_to_add_submonoid 0.010413 s: continuous_linear_equiv.coe_to_diffeomorph_symm 0.002465 s: pgame.zero_le 0.000122 s: pgame.left_response._proof_1 0.000209 s: pgame.left_response 0.000200 s: pgame.left_response.equations._eqn_1 0.001209 s: category_theory.limits.preserves_limit_of_nat_iso 0.000453 s: category_theory.limits.preserves_limits_of_shape_of_nat_iso 0.000049 s: linear_ordered_add_comm_monoid_with_top.has_sizeof_inst 0.000093 s: pos_num.of_znum'._main 0.000011 s: pos_num.of_znum' 0.000916 s: set.Icc_subset_Iic_iff 0.312850 s: has_strict_fderiv_at.exp 0.033399 s: nat.factors._main._pack.equations._eqn_2 0.000056 s: nat.factors._main.equations._eqn_2 0.003848 s: cardinal.aleph_idx.rel_iso.equations._eqn_1 0.004047 s: bundle_trivialization.symm_apply_mk_proj 0.004767 s: bundle_trivialization.apply_symm_apply 0.002191 s: bundle_trivialization.apply_symm_apply' 0.082037 s: bundle_trivialization.comap._proof_9 0.000375 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_2 0.009856 s: pgame.relabelling.trans._main._proof_2 0.000062 s: punit.subsingleton.equations._eqn_1 0.007343 s: wseq.destruct_some_of_destruct_tail_some 0.000809 s: linear_nonneg_ring.sub._default 0.000855 s: linear_nonneg_ring.sub._default.equations._eqn_1 0.132427 s: is_dedekind_domain.drec 0.000292 s: ring_quot.comm_ring._proof_1 0.000226 s: ring_quot.comm_ring._proof_2 0.000204 s: ring_quot.comm_ring._proof_3 0.012074 s: ring_quot.comm_ring._proof_4 0.002864 s: ring_quot.comm_ring._proof_5 0.003410 s: ring_quot.comm_ring._proof_6 0.001073 s: ring_quot.comm_ring._proof_7 0.000251 s: ring_quot.comm_ring._proof_8 0.000212 s: ring_quot.comm_ring._proof_9 0.000300 s: ring_quot.comm_ring._proof_10 0.000156 s: ring_quot.comm_ring._proof_11 0.003051 s: ring_quot.comm_ring._proof_12 0.001424 s: ring_quot.comm_ring._proof_13 0.000363 s: ring_quot.comm_ring._proof_15 0.000199 s: ring_quot.comm_ring._proof_16 0.033187 s: ring_quot.comm_ring 0.074332 s: ring_quot.ideal_quotient_to_ring_quot._proof_1 0.037275 s: ring_quot.ideal_quotient_to_ring_quot 0.006500 s: ring_quot.ideal_quotient_to_ring_quot_apply 0.003387 s: ring_quot.ring_quot_to_ideal_quotient_apply 0.060437 s: ring_quot.ring_quot_equiv_ideal_quotient._proof_2 0.015355 s: con.Inf_to_setoid 0.001003 s: slim_check.sampleable_functor.mk.sizeof_spec 0.038000 s: is_principal_ideal_ring.drec 0.001182 s: add_monoid_hom.range_subtype_val._proof_1 0.000363 s: add_monoid_hom.range_subtype_val._proof_2 0.006227 s: add_monoid_hom.range_subtype_val 0.000309 s: nonempty_lt 0.000375 s: nonempty_lt.equations._eqn_1 0.000135 s: compact_exhaustion.inhabited 0.000116 s: compact_exhaustion.inhabited.equations._eqn_1 0.000626 s: vector.map._main.equations._eqn_1 0.000538 s: alternating_map.has_sizeof_inst 0.000380 s: contracting_with.equations._eqn_1 0.000314 s: mvpfunctor.W_path.has_sizeof_inst 0.001551 s: add_monoid_hom.to_int_linear_map._proof_1 0.002257 s: add_monoid_hom.to_int_linear_map._proof_2 0.010445 s: add_monoid_hom.to_int_linear_map 0.002932 s: add_comm_group.direct_limit 0.054684 s: add_comm_group.direct_limit.of 0.000617 s: denumerable.prod.equations._eqn_1 0.000415 s: wseq.split_at._match_2 0.000639 s: wseq.split_at._match_2.equations._eqn_1 0.000222 s: monoid_algebra.equations._eqn_1 0.000788 s: int.nat_succ_eq_int_succ 0.019742 s: submodule.has_scalar'.equations._eqn_1 0.002120 s: ordnode.insert'._main.equations._eqn_2 0.000417 s: ordnode.insert'.equations._eqn_2 0.002906 s: ordnode.insert_with._main.equations._eqn_2 0.000471 s: ordnode.insert_with.equations._eqn_2 0.000409 s: ordnode.insert'._match_1.equations._eqn_1 0.000353 s: ordnode.insert_with._match_1.equations._eqn_1 0.000156 s: ordnode.insert'._match_1.equations._eqn_2 0.000509 s: ordnode.insert'._match_1.equations._eqn_3 0.000194 s: ordnode.insert_with._match_1.equations._eqn_3 0.005431 s: ordnode.insert'_eq_insert_with 0.010615 s: ordnode.valid'_singleton 0.000236 s: cmp_le.equations._eqn_1 0.145965 s: ordnode.balance_l_eq_balance' 0.019020 s: nat.dist_eq_sub_of_le 0.000383 s: ordnode.raised.dist_le 0.000141 s: ordnode.raised.dist_le' 0.003778 s: ordnode.valid'.balance_l 0.000820 s: ordnode.size_balance_l 0.001999 s: ordnode.raised.add_right 0.000546 s: ordnode.balance_sz_dual 0.001288 s: ordnode.valid'.balance_r 0.003512 s: ordnode.balanced.dual 0.010739 s: ordnode.delta_lt_false 0.007220 s: ordnode.dual_balance' 0.001927 s: ordnode.balance_r_eq_balance' 0.000899 s: ordnode.size_balance_r 0.017202 s: ordnode.insert_with.valid_aux 0.002264 s: ordnode.insert_with.valid 0.001790 s: ordnode.insert'.valid 0.000277 s: ordset.insert'._proof_1 0.000021 s: tactic.rewrite_search.side.L.inj 0.000096 s: is_left_null.left_null 0.001682 s: local_equiv.disjoint_union_apply 0.004412 s: category_theory.limits.cofan.mk.equations._eqn_1 0.011663 s: linear_map.bound_of_antilipschitz 0.004954 s: category_theory.limits.has_image.uniq 0.000167 s: real.exp_le_one_iff 0.000364 s: eventually_nhds_within_of_eventually_nhds 0.003605 s: list.inj_on_of_nodup_map 0.001432 s: multiset.inj_on_of_nodup_map 0.076771 s: function.injective.integral_domain._proof_14 0.010065 s: set.surj_on_bUnion_bUnion 0.003961 s: add_lt_of_neg_of_le 0.000060 s: nat.decidable_eq._main._proof_1 0.000406 s: nat.decidable_eq._main.equations._eqn_2 0.000185 s: nat.decidable_eq.equations._eqn_2 0.000392 s: mvqpf.cofix.mk 0.000494 s: mvqpf.cofix.mk.equations._eqn_1 0.000567 s: mvqpf.corecF.equations._eqn_1 0.001366 s: mvqpf.corecF_eq 0.003089 s: mvqpf.cofix.dest_corec 0.005890 s: mvqpf.cofix.mk_dest 0.001010 s: mvqpf.cofix.ext 0.000066 s: ordnode.of_asc_list_aux₁._main._pack._proof_2 0.000414 s: hahn_series.integral_domain._proof_9 0.009635 s: continuous_linear_equiv.trans_to_linear_equiv 0.001803 s: Mon_.hom.sizeof 0.002774 s: category_theory.limits.hom.has_image.equations._eqn_1 0.001536 s: filter.germ.lift_rel_coe 0.036277 s: category_theory.limits.has_cokernel_epi_comp 0.006887 s: category_theory.limits.cokernel_epi_comp._proof_2 0.000339 s: topological_space.no_confusion_type 0.000383 s: topological_space.no_confusion 0.000779 s: topological_space.mk.inj 0.000766 s: topological_space.mk.inj_arrow 0.247129 s: deriv_within_rpow_of_one_le 0.031760 s: enat.bounded_lattice.equations._eqn_1 0.020226 s: filter.realizer.bind._match_6.equations._eqn_1 0.000215 s: irrational.equations._eqn_1 0.000073 s: hyperreal.zero_of_infinitesimal_real 0.009543 s: hyperreal.zero_iff_infinitesimal_real 0.003825 s: finsupp.lsubtype_domain_apply 0.000762 s: units.coe_hom_apply 0.051468 s: circle_deg1_lift.units_semiconj_of_translation_number_eq 0.000153 s: set.Iic.equations._eqn_1 0.009985 s: set.Iic_inter_Iic 0.003303 s: set.Icc_inter_Icc 0.000901 s: ulift.is_lawful_monad._match_1 0.000815 s: ulift.is_lawful_monad._match_1.equations._eqn_1 0.000264 s: parser.bounded.sep_by1 0.000152 s: succ_pos''.equations._eqn_1 0.000063 s: tactic.unfold_config.cases_on 0.000058 s: tactic.unfold_config.no_confusion_type 0.000217 s: tactic.unfold_config.no_confusion 0.000097 s: tactic.unfold_config.mk.inj 0.000677 s: ulift.distrib.equations._eqn_1 0.002412 s: list.pairwise_filter_map_of_pairwise 0.000510 s: list.nodup_filter_map 0.000989 s: multiset.nodup_filter_map 0.000443 s: function.injective_of_partial_inv_right 0.001863 s: multiset.mem_filter_map 0.000189 s: function.injective_of_partial_inv 0.002694 s: set.fintype_of_fintype_image._proof_2 0.180177 s: is_preconnected.convex 0.016537 s: continuous_linear_map.coe_id 0.000442 s: is_closed_fixed_points 0.006694 s: category_theory.limits.split_mono_equalizes.equations._eqn_1 0.008070 s: is_projective.of_lifting_property 0.003754 s: category_theory.is_kernel_pair.cases_on 0.000072 s: zsqrtd.inhabited 0.000070 s: zsqrtd.inhabited.equations._eqn_1 0.003083 s: category_theory.limits.preserves_pullback.iso 0.004312 s: category_theory.limits.preserves_pullback.iso_hom 0.000776 s: local_equiv.is_image.restr_source 0.010104 s: bundle_trivialization.restr_open._proof_5 0.000179 s: with_zero.comm_group_with_zero._proof_1 0.000142 s: with_zero.comm_group_with_zero._proof_3 0.001309 s: with_zero.comm_group_with_zero._proof_4 0.000269 s: with_zero.comm_group_with_zero._proof_5 0.000191 s: with_zero.comm_group_with_zero._proof_6 0.000160 s: with_zero.comm_group_with_zero._proof_8 0.000818 s: with_zero.comm_group_with_zero._proof_9 0.000098 s: with_zero.comm_group_with_zero._proof_10 0.001114 s: with_zero.comm_group_with_zero._proof_12 0.009189 s: with_zero.comm_group_with_zero 0.006541 s: with_zero.comm_group_with_zero.equations._eqn_1 0.000775 s: algebra.no_confusion_type 0.001038 s: algebra.no_confusion 0.001228 s: algebra.mk.inj 0.001860 s: algebra.mk.inj_arrow 0.011958 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom._proof_1 0.033053 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom._proof_2 0.041076 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom._proof_3 0.018391 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom 0.016411 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_inv._proof_1 0.033541 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_inv._proof_2 0.043770 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_inv._proof_3 0.169049 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_inv._proof_4 0.032532 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_inv 0.028733 s: category_theory.Monad.Monad_Mon_equiv.unit_iso._proof_1 0.030038 s: category_theory.Monad.Monad_Mon_equiv.unit_iso._proof_2 0.007350 s: category_theory.Monad.Monad_Mon_equiv.unit_iso 0.071956 s: category_theory.Monad.Monad_Mon_equiv._proof_1 0.001155 s: category_theory.Monad.Monad_Mon_equiv 0.001527 s: category_theory.Monad.Monad_Mon_equiv_inverse 0.010129 s: lie_subalgebra.sizeof 0.000660 s: ωCPO.omega_complete_partial_order_equalizer.equations._eqn_1 0.001143 s: bitvec.fill_shr._proof_1 0.000224 s: bitvec.fill_shr 0.000736 s: bitvec.sshr._main 0.015577 s: category_theory.Monad.Monad_Mon_equiv.unit_iso_hom.equations._eqn_1 0.002679 s: differentiable_at_inv 0.000688 s: equiv.decidable.subset.decidable.mem.decidable._mutual._proof_6 0.000639 s: category_theory.arrow.mk_left 0.064719 s: mul_self_lt_mul_self_iff 0.028992 s: real.lt_sqrt 0.091074 s: real.sqr_lt 0.021576 s: category_theory.adjunction.to_equivalence_counit_iso 0.014963 s: prod.pseudo_emetric_space_max.equations._eqn_1 0.001000 s: finset.union_inter_cancel_right 0.000874 s: ordnode.take_aux._match_1.equations._eqn_3 0.002046 s: geom_sum_one 0.000209 s: filter.pmap 0.000217 s: filter.ptendsto 0.000408 s: pfun.restrict 0.000454 s: pfun.res 0.000295 s: filter.ptendsto.equations._eqn_1 0.001593 s: filter.mem_pmap 0.000846 s: pfun.mem_core 0.000769 s: pfun.lift_eq_coe 0.000379 s: pfun.res.equations._eqn_1 0.000497 s: pfun.restrict.equations._eqn_1 0.002576 s: pfun.mem_restrict 0.003893 s: pfun.mem_res 0.001877 s: pfun.mem_core_res 0.002964 s: pfun.core_res 0.004641 s: filter.pmap_res 0.000915 s: filter.tendsto_iff_ptendsto 0.000366 s: continuous_within_at_iff_ptendsto_res 0.000508 s: pi.alg_hom.apply._proof_1 0.000452 s: pi.alg_hom.apply._proof_2 0.000305 s: pi.alg_hom.apply._proof_3 0.000331 s: pi.alg_hom.apply._proof_4 0.000930 s: pi.alg_hom.apply._proof_5 0.005694 s: pi.alg_hom.apply 0.004306 s: pi.alg_hom.apply.equations._eqn_1 0.031420 s: perfect_closure.comm_ring._match_4.equations._eqn_1 0.008231 s: add_equiv.symm_mk 0.000925 s: add_subgroup.to_ordered_add_comm_group._proof_4 0.002802 s: mvpfunctor.M.path.no_confusion_type 0.003057 s: mvpfunctor.M.path.no_confusion 0.002047 s: mvpfunctor.M.path.child.inj 0.000098 s: add_units.has_repr 0.000117 s: add_units.has_repr.equations._eqn_1 0.002424 s: measure_theory.measure.regular.drec_on 0.010704 s: category_theory.equivalence.equivalence_mk'_counit 0.000126 s: omega.ee_state.inhabited 0.000177 s: denumerable.lower'._sunfold 0.000121 s: int.has_mod.equations._eqn_1 0.000296 s: ordnode.update_with._match_2.equations._eqn_2 0.000196 s: traversable.cases_on 0.000387 s: traversable.no_confusion_type 0.000122 s: io.process.spawn_args.stdin 0.000168 s: int.gcd_pos_of_non_zero_right 0.000965 s: encodable.finset._match_3.equations._eqn_1 0.000309 s: free_algebra.pre.has_add.equations._eqn_1 0.000202 s: int.le_add_of_nonneg_right 0.014870 s: zero_pow_eq_zero 0.028419 s: real.norm_coe_nat 0.610602 s: tendsto_pow_const_mul_const_pow_of_abs_lt_one 0.075295 s: linear_map.compl₂_apply 0.008485 s: subring.coe_nat_cast 0.012332 s: linear_map.ker_id_sub_eq_of_proj 0.012179 s: submodule.closed_complemented.is_closed 0.016793 s: int.div_dvd_div 0.004028 s: set.insert_to_finset 0.000905 s: has_orelse.mk.inj 0.000309 s: has_orelse.mk.inj_arrow 0.000147 s: sum.get_left 0.000391 s: sum.get_left._main.equations._eqn_2 0.000231 s: sum.get_left.equations._eqn_2 0.002412 s: category_theory.limits.span_right 0.003410 s: list.forall₂_map_left_iff 0.006037 s: category_theory.limits.limit_lax_monoidal_ε 0.002994 s: ulift.add_comm_monoid._proof_1 0.003080 s: ulift.add_comm_monoid._proof_2 0.000924 s: ulift.add_comm_monoid._proof_3 0.002987 s: ulift.add_comm_monoid._proof_4 0.003594 s: ulift.add_comm_monoid._proof_5 0.005510 s: ulift.add_comm_monoid._proof_6 0.001519 s: ulift.add_comm_monoid 0.005808 s: ulift.semimodule'._proof_2 0.008715 s: monoid_hom.to_additive.equations._eqn_1 0.003144 s: submodule.mk.inj_eq 0.000062 s: format.color.pink.sizeof_spec 0.063164 s: fraction_ring.field.equations._eqn_1 0.000755 s: rel_embedding.no_confusion 0.005141 s: rel_embedding.mk.inj 0.013335 s: generalized_boolean_algebra.rec_on 0.000171 s: xor.decidable._match_4.equations._eqn_1 0.001186 s: function.injective.cancel_monoid_with_zero._proof_7 0.003341 s: add_submonoid.localization_map.lift_of_comp 0.000168 s: finmap.disjoint.symm 0.000084 s: finmap.disjoint.symm_iff 0.000592 s: finmap.disjoint_union_right 0.000089 s: fin.sub._main._proof_1 0.000094 s: tactic.eliminate.generalization_mode.sizeof 0.000082 s: tactic.eliminate.generalization_mode.generalize_only.sizeof_spec 0.006975 s: category_theory.mono_over.lift_obj_coe 0.003498 s: abelianize._proof_1 0.005406 s: abelianize._proof_2 0.071495 s: abelianize._proof_4 0.018378 s: abelianize 0.061171 s: abelianize_adj._proof_1 0.026441 s: abelianize_adj._proof_2 0.056060 s: abelianize_adj 0.055513 s: abelianize_adj.equations._eqn_1 0.000328 s: additive.linear_ordered_add_comm_monoid._proof_11 0.000308 s: prod.ordered_add_comm_group._proof_1 0.000060 s: algebraic_geometry.LocallyRingedSpace.quiver 0.000123 s: algebraic_geometry.LocallyRingedSpace.stalk._proof_1 0.000797 s: algebraic_geometry.LocallyRingedSpace.stalk 0.015031 s: algebraic_geometry.LocallyRingedSpace.stalk_map 0.013588 s: algebraic_geometry.LocallyRingedSpace.stalk_map.is_local_ring_hom 0.012978 s: algebraic_geometry.LocallyRingedSpace.stalk_map.is_local_ring_hom.equations._eqn_1 0.002294 s: set.neg_mem_neg 0.000113 s: quiver.cases_on 0.000105 s: quiver.no_confusion_type 0.000096 s: string_imp.sizeof 0.000076 s: string_imp.mk.sizeof_spec 0.003740 s: order_iso.map_at_bot 0.038211 s: real.map_exp_at_bot 0.004224 s: real.tendsto_comp_exp_at_bot 0.005436 s: tendsto_abs_nhds_within_zero 0.018029 s: real.tendsto_log_nhds_within_zero 0.115148 s: real.continuous_at_log_iff 0.027690 s: times_cont_diff_on_top_iff_deriv_within 0.002447 s: times_cont_diff_on_top_iff_deriv_of_open 0.084465 s: real.differentiable_at_log 0.095090 s: real.differentiable_on_log 0.161557 s: real.differentiable_at_log_iff 0.104783 s: real.deriv_log 0.088290 s: real.deriv_log' 0.013138 s: times_cont_diff_on_inv 0.249491 s: real.times_cont_diff_on_log 0.193368 s: real.times_cont_diff_at_log 0.027629 s: nat.partrec'.drec_on 0.002313 s: has_measurable_smul.drec_on 0.000062 s: pSet.omega 0.000647 s: is_add_monoid_hom.map_nsmul 0.023302 s: finsupp.to_multiset_map 0.000407 s: alg_hom.finite_presentation 0.006889 s: alg_hom.finite_presentation.comp 0.020367 s: con.complete_lattice.equations._eqn_1 0.000242 s: cont_t.map 0.004742 s: model_with_corners_prod_coe 0.001588 s: set.Union_of_singleton_coe 0.000442 s: lt_add_of_sub_right_lt 0.418545 s: real.sin_gt_sub_cube 0.545649 s: real.pi_lt_sqrt_two_add_series 0.584014 s: real.pi_upper_bound_start 0.436273 s: real.sqrt_two_add_series_step_down 0.913271 s: real.pi_lt_31416 0.000919 s: mvqpf.Mrepr.equations._eqn_1 0.005368 s: mv_polynomial.bind₂_comp_C 0.010799 s: dfinsupp.filter.equations._eqn_1 0.000840 s: category_theory.limits.mono_factorisation.comp_mono._proof_1 0.004000 s: category_theory.limits.mono_factorisation.comp_mono._proof_2 0.001612 s: category_theory.limits.mono_factorisation.comp_mono 0.001767 s: category_theory.limits.image.fac_lift 0.007767 s: category_theory.limits.image.fac_lift_assoc 0.003462 s: category_theory.limits.mono_factorisation.of_comp_iso_e 0.006266 s: category_theory.limits.has_image_comp_iso 0.000225 s: category_theory.limits.image.comp_iso._proof_1 0.000656 s: category_theory.limits.as_factor_thru_image 0.002064 s: category_theory.limits.mono_factorisation.comp_mono_e 0.006400 s: category_theory.limits.image.comp_iso._proof_2 0.007304 s: category_theory.limits.image.comp_iso._proof_3 0.002248 s: category_theory.limits.image.comp_iso 0.002160 s: category_theory.limits.kernel_is_iso_comp_inv 0.003024 s: category_theory.limits.image.comp_iso.equations._eqn_1 0.009945 s: category_theory.limits.image.comp_iso_inv_comp_image_ι 0.003910 s: category_theory.limits.image.comp_iso_inv_comp_image_ι_assoc 0.021704 s: category_theory.image_to_kernel_map_comp_hom_inv_comp 0.006470 s: finset.induction_on_max 0.005122 s: finset.induction_on_min 0.009076 s: intermediate_field.coe_inv 0.002874 s: affine.simplex.sizeof 0.000910 s: continuous_within_at.abs 0.000401 s: continuous_on.abs 0.002835 s: comm_monoid_with_zero.cases_on 0.000485 s: category_theory.limits.colimit.cocone_X 0.020771 s: measure_theory.outer_measure.trim_sum_ge 0.000519 s: category_theory.limits.biproduct.matrix_equiv._proof_1 0.004521 s: Set.sep._match_2.equations._eqn_1 0.000079 s: num.succ'._sunfold 0.042942 s: bilin_form.to_matrix_symm 0.028343 s: ideal.jacobson_idem 0.000851 s: subsemiring.to_linear_ordered_semiring._proof_3 0.001923 s: fin2.cases'._sunfold 0.000788 s: prod.ordered_cancel_add_comm_monoid._proof_2 0.000231 s: prod.ordered_cancel_add_comm_monoid._proof_3 0.000310 s: prod.ordered_cancel_add_comm_monoid._proof_4 0.000754 s: prod.ordered_cancel_add_comm_monoid._proof_6 0.000257 s: prod.ordered_cancel_add_comm_monoid._proof_7 0.000150 s: prod.ordered_cancel_add_comm_monoid._proof_8 0.000295 s: prod.ordered_cancel_add_comm_monoid._proof_9 0.001456 s: prod.ordered_cancel_add_comm_monoid._proof_10 0.001799 s: prod.ordered_cancel_add_comm_monoid._proof_11 0.019943 s: prod.ordered_cancel_add_comm_monoid._proof_12 0.016840 s: prod.ordered_cancel_add_comm_monoid._proof_13 0.008345 s: prod.ordered_cancel_add_comm_monoid 0.003321 s: prod.ordered_add_comm_group._proof_13 0.004966 s: submonoid.coe_multiset_prod 0.000388 s: omega.nat.preterm.repr._main.equations._eqn_1 0.000051 s: omega.nat.preterm.repr.equations._eqn_1 0.000119 s: punit.topological_space.equations._eqn_1 0.000175 s: discrete_topology.drec_on 0.000199 s: gcd_monoid.gcd.is_commutative.equations._eqn_1 0.000379 s: group.npow._default.equations._eqn_1 0.055118 s: submodule.infi_orthogonal 0.000390 s: turing.TM0.stmt.write.inj_eq 0.001055 s: category_theory.limits.prod.mono_lift_of_mono_right 0.009055 s: category_theory.limits.prod.mono_lift_of_mono_right.equations._eqn_1 0.003062 s: lazy_list.find._main 0.000084 s: lazy_list.find 0.000782 s: lazy_list.find._main.equations._eqn_1 0.000165 s: lazy_list.find.equations._eqn_1 0.015463 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso_inv_app_to_nat_trans_app 0.000081 s: subtype.inhabited 0.000168 s: subtype.inhabited.equations._eqn_1 0.000392 s: equiv.equiv_subsingleton_cod.equations._eqn_1 0.001367 s: with_top.top_ne_nat 0.008655 s: nat.even_or_odd' 0.214881 s: integral_one 0.263552 s: interval_integral.integral_deriv_mul_eq_sub 0.033222 s: interval_integral.integral_add 0.002647 s: interval_integrable.neg 0.003219 s: interval_integral.integral_neg 0.003047 s: interval_integral.integral_sub 0.244498 s: interval_integral.integral_mul_deriv_eq_deriv_mul 0.283249 s: interval_integral.integral_smul 0.203489 s: interval_integral.integral_const_mul 0.022554 s: real.cos_square' 0.000409 s: continuous.interval_integrable 0.330380 s: integral_sin_pow_aux 0.334264 s: integral_sin_pow_succ_succ 0.289293 s: integral_sin_pow_even 0.270896 s: integral_sin_pow_odd 0.692063 s: integral_sin_pow_pos 0.000724 s: turing.to_partrec.cont.then._main.equations._eqn_3 0.000083 s: turing.to_partrec.cont.then.equations._eqn_3 0.000019 s: tactic.simp_config.use_axioms._default 0.005950 s: homeomorph.continuous_map_of_unique._proof_1 0.001839 s: homeomorph.continuous_map_of_unique._proof_2 0.001297 s: homeomorph.continuous_map_of_unique._proof_3 0.004368 s: locally_compact_of_compact_nhds 0.000317 s: locally_compact_of_compact 0.002277 s: homeomorph.continuous_map_of_unique._proof_4 0.004444 s: homeomorph.continuous_map_of_unique 0.001999 s: homeomorph.continuous_map_of_unique_symm_apply 0.001584 s: local_equiv.disjoint_union_target 0.001693 s: filter.join_mono 0.002415 s: filter.bind_mono 0.000131 s: bounded_continuous_function.to_Lp_hom._proof_4 0.000873 s: category_theory.iso.symm.equations._eqn_1 0.336488 s: has_strict_fderiv_at.sin 0.000669 s: quaternion_algebra.has_coe_t.equations._eqn_1 0.039727 s: asymptotics.is_O_iff_eventually_is_O_with 0.004567 s: asymptotics.is_O_iff_eventually 0.001839 s: category_theory.limits.split_epi_prod_fst._proof_1 0.000781 s: category_theory.limits.split_epi_prod_fst 0.000031 s: format.color.cyan.inj 0.023743 s: submonoid.complete_lattice.equations._eqn_1 0.073192 s: inner_product_geometry.angle_zero_left 0.012140 s: category_theory.non_preadditive_abelian.epi_factor_thru_coimage.equations._eqn_1 0.000092 s: ordered_ring.lt._default.equations._eqn_1 0.003951 s: category_theory.limits.fully_faithful_reflects_limits.equations._eqn_1 0.013393 s: ring_equiv.of_hom_inv.equations._eqn_1 0.000791 s: set.add_comm_monoid._proof_4 0.669068 s: is_dedekind_domain_inv 0.312456 s: is_dedekind_domain_inv.drec 0.001316 s: monoid_with_zero_hom.to_monoid_hom_injective 0.044888 s: monoid_hom.ext_int 0.000360 s: monoid_with_zero_hom.congr_fun 0.009370 s: monoid_with_zero_hom.ext_int 0.003597 s: ordinal.has_add._match_6.equations._eqn_1 0.003099 s: function.mul_support_supr 0.002322 s: function.mul_support_infi 0.000260 s: category_theory.quotient.cases_on 0.001659 s: category_theory.quotient.induction 0.000158 s: eq_mp_eq_cast 0.013425 s: linear_equiv.pi._proof_2 0.002187 s: linear_equiv.pi._proof_3 0.003798 s: linear_equiv.pi._proof_4 0.005246 s: linear_equiv.pi 0.000263 s: Class.mem.equations._eqn_1 0.022771 s: cauchy_prod 0.006449 s: Gromov_Hausdorff.optimal_GH_injr.equations._eqn_1 0.000643 s: category_theory.abelian.pseudoelement.inhabited.equations._eqn_1 0.004324 s: group_with_zero.cases_on 0.000689 s: list.lex.is_order_connected._match_1.equations._eqn_6 0.000763 s: smooth_at_id 0.005563 s: category_theory.equalizer.presieve.first_map 0.000338 s: min_eq_right_of_lt 0.001027 s: bounded_continuous_function.mk_of_compact.equations._eqn_1 0.001802 s: nat.arithmetic_function.nat_coe_nat 0.020142 s: nat.arithmetic_function.zeta_mul_apply 0.000604 s: free_comm_ring.map.equations._eqn_1 0.000027 s: quiver.empty 0.000145 s: quiver.empty.equations._eqn_1 0.003369 s: linear_ordered_cancel_comm_monoid.decidable_lt._default 0.001515 s: list.mpartition._main 0.000100 s: list.mpartition 0.002160 s: list.mpartition._main.equations._eqn_2 0.001538 s: list.mpartition.equations._eqn_2 0.006652 s: polynomial.pow_add_expansion._main._proof_2 0.005596 s: polynomial.pow_add_expansion._main.equations._eqn_2 0.006394 s: list.mem_zip 0.000155 s: no_zero_divisors.rec_on 0.000407 s: list.scanl_nil 0.002417 s: category_theory.lax_braided_functor.cases_on 0.004684 s: pgame.inv_val._main.equations._eqn_4 0.000761 s: quiver.path.no_confusion_type 0.001657 s: quiver.path.no_confusion 0.000813 s: quiver.path.cons.inj 0.000554 s: quiver.path.cons.inj_arrow 0.000888 s: equiv.perm_congr_def 0.000837 s: equiv.perm_congr_refl 0.001350 s: turing.evals_to_in_time.refl 0.000158 s: turing.inhabited_evals_to_in_time 0.000090 s: turing.inhabited_evals_to_in_time.equations._eqn_1 0.001254 s: typevec.typevec_cases_nil₂._proof_1 0.004023 s: polynomial.iterate_derivative_zero 0.001638 s: prod.semilattice_inf_bot._proof_5 0.000327 s: nat.add._main.equations._eqn_1 0.002454 s: category_theory.under.map_obj_right 0.002137 s: ring.sizeof 0.008844 s: ring.mk.sizeof_spec 0.019282 s: lie_ideal.subsingleton_of_bot 0.005834 s: lie_algebra.is_solvable_bot 0.009517 s: lie_algebra.is_solvable_bot.equations._eqn_1 0.000471 s: binder_info.brackets._main.equations._eqn_3 0.000101 s: binder_info.brackets.equations._eqn_3 0.003152 s: measurable_space.measurable_set_Inf 0.000089 s: invertible_one._proof_1 0.000256 s: invertible_one 0.000429 s: is_add_subgroup.dcases_on 0.006683 s: additive.is_add_subgroup_iff 0.001250 s: monad_io_file_system.cases_on 0.001095 s: monad_io_file_system.no_confusion_type 0.001257 s: monad_io_file_system.no_confusion 0.001109 s: equiv.list_equiv_of_equiv._proof_2 0.004030 s: category_theory.monoidal_of_has_finite_products.left_unitor_hom 0.021948 s: Inf_eq_bot 0.005765 s: infi_eq_bot 0.001569 s: map_supr_of_continuous_at_of_monotone' 0.146690 s: map_infi_of_continuous_at_of_monotone' 0.022254 s: ennreal.continuous_at_const_mul 0.051193 s: ennreal.infi_mul_left' 0.000421 s: ennreal.infi_mul_left 0.019152 s: measure_theory.outer_measure.smul_of_function 0.049033 s: measure_theory.outer_measure.smul_bounded_by 0.003757 s: infi_eq_dif 0.000197 s: infi_eq_if 0.007478 s: emetric.diam_eq_zero_iff 0.062180 s: measure_theory.outer_measure.mk_metric_mono_smul 0.000429 s: list.decidable_prefix.equations._eqn_1 0.000127 s: parser.prog.ch.equations._eqn_1 0.001679 s: subgroup.has_one.equations._eqn_1 0.015060 s: finset.inj_on_of_card_image_eq 0.000092 s: real.sqrt_aux 0.000374 s: real.sqrt_aux.equations._eqn_2 0.000415 s: is_separated_def 0.000146 s: has_coe.mk.inj_arrow 0.000140 s: with_bot.has_one.equations._eqn_1 0.000048 s: snum.head._sunfold 0.001174 s: category_theory.eq_of_comp_left_eq 0.000407 s: is_local_min.inf 0.004233 s: mul_equiv_iso_Semigroup_iso._proof_1 0.002694 s: mul_equiv_iso_Semigroup_iso._proof_2 0.000631 s: mul_equiv_iso_Semigroup_iso 0.000660 s: mul_equiv_iso_Semigroup_iso.equations._eqn_1 0.013190 s: order.partial_iso.fun_of_ideal._match_1.equations._eqn_1 0.002504 s: list.decidable_infix._match_1.equations._eqn_1 0.000020 s: simps_cfg.fully_applied._default 0.000041 s: simps_cfg.fully_applied._default.equations._eqn_1 0.001109 s: linear_ordered_comm_monoid.decidable_eq._default 0.000851 s: linear_ordered_comm_monoid_with_zero.decidable_eq._default 0.000264 s: nzsnum.sign._main.equations._eqn_1 0.000031 s: nzsnum.sign.equations._eqn_1 0.000597 s: set.image_eq_image 0.000744 s: set.eq_preimage_iff_image_eq 0.000628 s: has_continuous_smul.drec 0.002226 s: cardinal.sup_le_sup 0.000336 s: has_measurable_div.cases_on 0.004064 s: category_theory.iso.Magma_iso_to_mul_equiv._proof_1 0.002631 s: slim_check.nat_le.sampleable._match_2 0.000546 s: slim_check.nat_le.sampleable._match_2._proof_1 0.003150 s: slim_check.nat_le.sampleable._match_2.equations._eqn_1 0.001226 s: equiv.to_local_equiv.equations._eqn_1 0.014900 s: equiv.trans_to_local_equiv 0.026973 s: homeomorph.trans_to_local_homeomorph 0.036785 s: complex.cos_mul_I 0.006155 s: complex.cos_add_mul_I 0.003808 s: pi.cancel_monoid._proof_1 0.000568 s: ftaylor_series 0.000306 s: nnreal.pi.equations._eqn_1 0.007293 s: category_theory.limits.category_theory.functor.has_zero_morphisms.equations._eqn_1 0.000310 s: pos_num.distrib.equations._eqn_1 0.000309 s: list.zip_right'.equations._eqn_1 0.007819 s: rat.div_lt_div_iff_mul_lt_mul 0.002034 s: pgame.impartial.impartial_neg._main._pack 0.000188 s: computation.corec.F._match_1.equations._eqn_1 0.018458 s: tsirelson_inequality.smul_four 0.000100 s: tactic.itauto.proof.hyp.inj_arrow 0.031799 s: char_p.quotient' 0.000147 s: congr_arg_kind.cases_on 0.003361 s: congr_arg_kind.to_string._main 0.000020 s: congr_arg_kind.to_string 0.000209 s: congr_arg_kind.to_string._main.equations._eqn_3 0.000099 s: congr_arg_kind.to_string.equations._eqn_3 0.000190 s: complex.complex_ordered_comm_ring._proof_5 0.001902 s: pi.right_cancel_monoid._proof_1 0.003912 s: pi.right_cancel_monoid._proof_2 0.001435 s: pi.right_cancel_monoid._proof_3 0.004899 s: pi.right_cancel_monoid._proof_6 0.001486 s: pi.right_cancel_monoid 0.000122 s: Meas.of.equations._eqn_1 0.000582 s: algebra.lmul_left_right 0.000490 s: vector_ex._main 0.000029 s: vector_ex 0.000471 s: vector_ex._main.equations._eqn_2 0.000134 s: vector_ex.equations._eqn_2 0.002982 s: continuous_semimodule.equations._eqn_1 0.000554 s: composition_as_set.no_confusion 0.001335 s: ordinal.le._match_5.equations._eqn_1 0.000213 s: Mon_.category_theory.limits.has_initial 0.004645 s: complete_linear_order.cases_on 0.003202 s: complete_linear_order.no_confusion_type 0.002662 s: complete_linear_order.no_confusion 0.007175 s: complete_linear_order.mk.inj 0.012566 s: complete_linear_order.mk.inj_arrow 0.000293 s: countable_Inter_filter_bot 0.000376 s: fin.unique.equations._eqn_1 0.000628 s: fin.succ_rec._main.equations._eqn_1 0.000171 s: fin.succ_rec.equations._eqn_1 0.000443 s: ring_hom.restrict 0.000108 s: list.tails._sunfold 0.395868 s: formal_multilinear_series.lt_radius_of_is_O 0.000158 s: relator.rel_and 0.028375 s: measure_theory.measure.no_confusion_type 0.002327 s: measure_theory.measure.no_confusion 0.002296 s: measure_theory.measure.mk.inj 0.002029 s: one_le 0.000550 s: finset.prod_le_prod_of_subset' 0.000774 s: finset.prod_mono_set' 0.224721 s: module.dual.eval.equations._eqn_1 0.000121 s: chain_complex 0.000442 s: is_compact.tendsto_subseq 0.000052 s: roption.inhabited 0.006707 s: category_theory.limits.is_limit_of_is_limit_fork_map._proof_2 0.005857 s: category_theory.sieve.nat_trans_of_le._proof_2 0.000192 s: submonoid.localization_map.away_map.equations._eqn_1 0.002089 s: add_equiv.add_submonoid_congr._proof_2 0.001848 s: add_equiv.add_submonoid_congr._proof_3 0.001725 s: add_equiv.add_submonoid_congr._proof_4 0.006057 s: add_equiv.add_submonoid_congr 0.011756 s: add_con.quotient_ker_equiv_range._proof_2 0.010425 s: add_con.quotient_ker_equiv_range._proof_3 0.002467 s: add_con.quotient_ker_equiv_range._proof_4 0.012431 s: add_con.quotient_ker_equiv_range 0.010899 s: add_con.quotient_ker_equiv_range.equations._eqn_1 0.001813 s: computability.encoding.mk.inj 0.000488 s: computability.encoding.mk.inj_arrow 0.247442 s: convex_on_univ_of_deriv_mono 0.029939 s: measure_theory.outer_measure.trim_eq_infi' 0.000407 s: norm_num.int_cast_zero 0.000830 s: set.set_coe.can_lift._proof_1 0.000408 s: set.set_coe.can_lift 0.002962 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_4 0.002845 s: order.ideal.mem_inf 0.002016 s: category_theory.limits.binary_bicone.sizeof 0.006067 s: category_theory.limits.binary_bicone.mk.sizeof_spec 0.000200 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_15 0.000219 s: prod.semilattice_sup_top._proof_1 0.000149 s: prod.semilattice_sup_top._proof_2 0.000518 s: prod.semilattice_sup_top._proof_3 0.000448 s: prod.semilattice_sup_top._proof_4 0.001282 s: prod.semilattice_sup_top._proof_5 0.000517 s: prod.semilattice_sup_top._proof_6 0.000554 s: prod.semilattice_sup_top._proof_7 0.000789 s: prod.semilattice_sup_top._proof_8 0.007234 s: prod.semilattice_sup_top 0.005617 s: prod.semilattice_sup_top.equations._eqn_1 0.069873 s: times_cont_diff.norm_square 0.000038 s: tactic.itauto.prop.and 0.000021 s: tactic.itauto.prop.not 0.000040 s: tactic.itauto.prop.xor 0.000211 s: mul_one_class.sizeof 0.000078 s: mul_one_class.has_sizeof_inst 0.001261 s: finset.exists_mem_eq_inf' 0.012094 s: continuous_linear_map.flipₗᵢ._proof_1 0.020438 s: continuous_linear_map.flipₗᵢ._proof_2 0.001967 s: continuous_linear_map.flipₗᵢ._proof_3 0.014531 s: continuous_linear_map.flipₗᵢ._proof_4 0.019214 s: continuous_linear_map.flipₗᵢ._proof_6 0.019810 s: continuous_linear_map.flipₗᵢ._proof_7 0.030479 s: continuous_linear_map.flipₗᵢ._proof_8 0.004108 s: continuous_linear_map.flipₗᵢ._proof_9 0.020108 s: continuous_linear_map.flipₗᵢ._proof_10 0.027964 s: continuous_linear_map.flipₗᵢ._proof_11 0.007716 s: continuous_linear_map.flipₗᵢ._proof_12 0.002077 s: continuous_linear_map.flipₗᵢ._proof_13 0.014830 s: continuous_linear_map.flipₗᵢ._proof_14 0.015765 s: continuous_linear_map.flipₗᵢ._proof_16 0.020372 s: continuous_linear_map.flipₗᵢ._proof_17 0.017413 s: continuous_linear_map.flipₗᵢ._proof_18 0.021332 s: continuous_linear_map.flipₗᵢ._proof_19 0.031205 s: continuous_linear_map.flipₗᵢ._proof_20 0.004943 s: continuous_linear_map.flipₗᵢ._proof_21 0.018441 s: continuous_linear_map.flipₗᵢ._proof_22 0.026664 s: continuous_linear_map.flipₗᵢ._proof_23 0.279519 s: continuous_linear_map.flip_add 0.221694 s: continuous_linear_map.flip_smul 0.054405 s: continuous_linear_map.flip_flip 0.063122 s: continuous_linear_map.op_norm_le_bound₂ 0.073135 s: _private.3901557177.le_norm_flip 0.075577 s: continuous_linear_map.op_norm_flip 0.156430 s: continuous_linear_map.flipₗᵢ 0.205895 s: continuous_linear_map.flipₗᵢ.equations._eqn_1 0.096129 s: free_abelian_group.punit_equiv._proof_1 0.002152 s: gsmul_int_one 0.016849 s: free_abelian_group.punit_equiv._proof_2 0.002449 s: free_abelian_group.punit_equiv._proof_3 0.003000 s: free_abelian_group.punit_equiv 0.000437 s: tactic_doc._2911715954 0.001107 s: mul_hom.single._proof_1 0.004107 s: parser.unfailing.mmap' 0.004266 s: parser.unfailing.mmap'.equations._eqn_1 0.005832 s: matrix.mul_vec_cons 0.000289 s: linear_isometry.inhabited 0.000413 s: linear_isometry.inhabited.equations._eqn_1 0.000739 s: order.ideal.bot_mem 0.001551 s: order.ideal.semilattice_sup_bot.ideal_inter_nonempty 0.000304 s: simple_graph.is_regular_of_degree.equations._eqn_1 0.001239 s: enat.eq_top_iff_forall_le 0.004291 s: category_theory.limits.fork.is_limit.hom_iso_apply_coe 0.000096 s: heq.cases_on 0.003788 s: category_theory.monoidal_category.right_assoc_tensor._proof_1 0.013830 s: category_theory.monoidal_category.right_assoc_tensor._proof_2 0.003478 s: category_theory.monoidal_category.right_assoc_tensor 0.000514 s: unit_interval.has_one.equations._eqn_1 0.004892 s: Top.discrete.equations._eqn_1 0.000660 s: category_theory.pairwise.diagram_obj._main.equations._eqn_2 0.000129 s: category_theory.pairwise.diagram_obj.equations._eqn_2 0.000258 s: filter.germ.left_cancel_semigroup._proof_1 0.002313 s: filter.germ.left_cancel_semigroup._proof_2 0.000611 s: filter.germ.left_cancel_semigroup 0.015395 s: filter.germ.ordered_cancel_comm_monoid._proof_13 0.014570 s: quadratic_form.associated' 0.001712 s: deriv_within_mul_const 0.001240 s: indicator_norm_le_norm_self 0.000089 s: string.iterator.has_prev._main 0.000110 s: string.iterator.has_prev._main.equations._eqn_1 0.021998 s: algebraic_geometry.SheafedSpace.Γ_map_op 0.042594 s: Top.presheaf.sheaf_condition.opens_le_cover.inhabited._proof_1 0.000409 s: Top.presheaf.sheaf_condition.opens_le_cover.inhabited 0.000409 s: Top.presheaf.sheaf_condition.opens_le_cover.inhabited.equations._eqn_1 0.000164 s: additive.ordered_cancel_add_comm_monoid._proof_1 0.000182 s: additive.ordered_cancel_add_comm_monoid._proof_2 0.000167 s: additive.ordered_cancel_add_comm_monoid._proof_3 0.000148 s: additive.ordered_cancel_add_comm_monoid._proof_4 0.007599 s: additive.ordered_cancel_add_comm_monoid._proof_5 0.002071 s: additive.ordered_cancel_add_comm_monoid._proof_6 0.000148 s: additive.ordered_cancel_add_comm_monoid._proof_7 0.000075 s: additive.ordered_cancel_add_comm_monoid._proof_8 0.000175 s: additive.ordered_cancel_add_comm_monoid._proof_9 0.001991 s: additive.ordered_cancel_add_comm_monoid._proof_10 0.000387 s: additive.ordered_cancel_add_comm_monoid._proof_11 0.000981 s: additive.ordered_cancel_add_comm_monoid._proof_12 0.017240 s: additive.ordered_cancel_add_comm_monoid 0.019090 s: additive.ordered_cancel_add_comm_monoid.equations._eqn_1 0.004882 s: finite_dimensional.findim_eq_of_dim_eq 0.000580 s: with_top.bounded_lattice._proof_9 0.022687 s: AddCommGroup.binary_product_limit_cone._proof_1 0.063512 s: AddCommGroup.binary_product_limit_cone._proof_2 0.052348 s: AddCommGroup.binary_product_limit_cone._proof_3 0.023448 s: AddCommGroup.binary_product_limit_cone 0.000237 s: AddCommGroup.has_binary_product 0.000176 s: AddCommGroup.has_binary_product.equations._eqn_1 0.000197 s: option.to_monad._main 0.000222 s: option.to_monad._main.equations._eqn_1 0.021018 s: topological_space.open_nhds.inf_le_left.equations._eqn_1 0.000143 s: tactic.ring2.horner_expr.mul_aux._sunfold 0.000033 s: subsingleton_info.is_subsingleton 0.050356 s: category_theory.comonad.category.equations._eqn_1 0.000179 s: pos_num.of_znum._main.equations._eqn_3 0.009546 s: fintype.exists_ne_map_eq_of_infinite 0.002888 s: category_theory.limits.is_limit.whisker_equivalence.equations._eqn_1 0.001592 s: list.of_fn_const 0.000479 s: real.pi_div_two_le_arcsin 0.001499 s: local_homeomorph.is_image_source_target_of_disjoint 0.000588 s: local_homeomorph.disjoint_union._proof_1 0.000109 s: Set.prod.equations._eqn_1 0.001585 s: pSet.subset.congr_left 0.002209 s: pSet.mem_powerset 0.000234 s: Set.mk_eq 0.001296 s: Set.subset_iff 0.001877 s: Set.mem_powerset 0.000140 s: Set.subset_def 0.002118 s: Set.mem_union 0.002310 s: Set.mem_pair_sep 0.001636 s: Set.mem_prod 0.001631 s: Set.pair_mem_prod 0.002140 s: Set.map_is_func 0.001017 s: Set.choice_is_func 0.000351 s: category_theory.simplicial_object.truncated.category_theory.limits.has_limits_of_shape 0.002063 s: set.mul_indicator_comp_of_one 0.000949 s: monoid_hom.map_mul_indicator 0.000444 s: AddCommGroup.colimits.prequotient.sizeof 0.000163 s: AddCommGroup.colimits.prequotient.has_sizeof_inst 0.000415 s: AddCommGroup.colimits.prequotient.add.sizeof_spec 0.000585 s: category_theory.limits.cone.no_confusion_type 0.000960 s: category_theory.limits.cone.no_confusion 0.000999 s: category_theory.limits.cone.mk.inj 0.001300 s: category_theory.limits.cone.mk.inj_arrow 0.000733 s: is_open_Inter_prop 0.004505 s: ordnode.all_dual 0.000023 s: tactic.new_goals.non_dep_only.inj 0.048396 s: category_theory.adjunction.to_monad_μ 0.000814 s: category_theory.limits.complete_lattice.has_colimits_of_complete_lattice 0.000501 s: category_theory.limits.complete_lattice.colimit_iso_supr._proof_1 0.000287 s: category_theory.limits.complete_lattice.colimit_iso_supr._proof_2 0.000264 s: category_theory.limits.complete_lattice.colimit_iso_supr._proof_3 0.010892 s: category_theory.limits.complete_lattice.colimit_iso_supr 0.006230 s: category_theory.limits.complete_lattice.colimit_iso_supr_inv 0.000061 s: nat.land.equations._eqn_1 0.002897 s: qpf.id_map 0.000588 s: qpf.is_lawful_functor 0.004278 s: category_theory.limits.pullback.desc'._proof_1 0.000928 s: ordinal.type_le 0.022803 s: linear_map.infi_ker_proj_equiv.equations._eqn_1 0.000995 s: omega_complete_partial_order.cases_on 0.006147 s: dfinsupp.filter_apply_pos 0.005308 s: Top_to_CompHaus.equations._eqn_1 0.000398 s: with_top.coe_add_hom._proof_1 0.000133 s: with_top.coe_add_hom._proof_2 0.001282 s: with_top.coe_add_hom 0.000416 s: with_top.coe_coe_add_hom 0.000292 s: semiquot.no_confusion_type 0.001346 s: metric.continuous_within_at_iff 0.003931 s: metric.continuous_on_iff 0.001800 s: pi.add_left_cancel_monoid._proof_4 0.001406 s: function.surjective.comm_group_with_zero._proof_2 0.001521 s: function.surjective.comm_group_with_zero._proof_3 0.001865 s: function.surjective.comm_group_with_zero._proof_5 0.003584 s: function.surjective.comm_group_with_zero._proof_6 0.001094 s: function.surjective.comm_group_with_zero._proof_7 0.001104 s: function.surjective.comm_group_with_zero._proof_8 0.001704 s: function.surjective.comm_group_with_zero._proof_9 0.000912 s: function.surjective.comm_group_with_zero._proof_10 0.002726 s: function.surjective.comm_group_with_zero._proof_11 0.004606 s: function.surjective.comm_group_with_zero._proof_12 0.019106 s: function.surjective.comm_group_with_zero 0.000305 s: matrix.add_semigroup 0.000250 s: matrix.add_semigroup.equations._eqn_1 0.000225 s: vadd_comm_class.vadd_comm 0.003813 s: vadd_comm_class_self 0.005924 s: affine_equiv.const_vadd._proof_1 0.002020 s: affine_equiv.const_vadd 0.001586 s: affine_equiv.linear_const_vadd 0.000423 s: turing.tm2_computable.to_tm2_computable_aux 0.001414 s: turing.tm2_computable.outputs_fun 0.002619 s: inv_zero' 0.000755 s: balanced 0.000021 s: tactic.dsimp_config.eta._default 0.000028 s: tactic.dsimp_config.eta._default.equations._eqn_1 0.000248 s: trunc.out.equations._eqn_1 0.000388 s: equiv.mul_zero_one_class._proof_1 0.003906 s: asymptotics.is_O_with.prod_rightl 0.000793 s: parser.conditionally_unfailing 0.002560 s: pgame.inv_val._main.equations._eqn_5 0.000358 s: omega.int.is_nnf._main.equations._eqn_4 0.000035 s: omega.int.is_nnf.equations._eqn_4 0.000607 s: pSet.mk.inj_eq 0.000235 s: turing.to_partrec.code.case.inj 0.000184 s: turing.to_partrec.code.case.inj_eq 0.000101 s: pfunctor.comp 0.004511 s: qpf.comp._aux_1 0.001940 s: qpf.comp._proof_1 0.013446 s: qpf.comp._aux_2 0.002800 s: qpf.comp._proof_2 0.003174 s: qpf.comp 0.003409 s: qpf.comp.equations._eqn_1 0.001891 s: add_con.lift_comp_mk' 0.000560 s: tactic.itauto.proof.and_right.inj 0.167943 s: summable_of_absolute_convergence_real 0.121267 s: interval_integral.smul_integral_comp_mul_left 0.012738 s: list.perm.cases_on 0.000297 s: liouville 1.666681 s: liouville.irrational 0.005965 s: finsupp.comap_distrib_mul_action._proof_2 0.002576 s: add_monoid_algebra.of.equations._eqn_1 0.037740 s: finsupp.supported_eq_span_single 0.006951 s: add_monoid_algebra.mem_span_support 0.001820 s: isometric.coe_neg 0.000814 s: category_theory.over.mk_left 0.001492 s: complete_semilattice_Sup.no_confusion_type 0.001392 s: complete_semilattice_Sup.no_confusion 0.000112 s: ordnode.find_le_aux._match_1.equations._eqn_1 0.044320 s: topological_group.of_nhds_aux 0.020347 s: topological_group.of_nhds_one 0.001297 s: mul_inv_cancel_comm 0.002709 s: topological_group.of_comm_of_nhds_one 0.000921 s: set.proj_Icc_surjective 0.000374 s: set.range_proj_Icc 0.001382 s: set.Icc_extend_range 0.000284 s: mul_left_embedding 0.000301 s: mul_left_embedding_apply 0.000029 s: pos_num.bit 0.000030 s: num.bit 0.000242 s: nat.bitwise_zero 0.003296 s: num.bit_to_nat 0.019110 s: num.bitwise_to_nat 0.005763 s: num.lxor_to_nat 0.000897 s: category_theory.functor.map_cocone.equations._eqn_1 0.000136 s: seq.unzip 0.000459 s: add_magma.free_add_semigroup.lift.equations._eqn_1 0.003699 s: is_open_lt_prod 0.001231 s: is_R_or_C.im_to_complex 0.000573 s: binder_info.has_variable_names._proof_1 0.086418 s: euclidean.closed_ball.equations._eqn_1 0.001145 s: qpf.fix_to_W.equations._eqn_1 0.000091 s: int.shiftl.equations._eqn_4 0.000261 s: ordnode.merge_nil_right 0.000110 s: opposite.inhabited.equations._eqn_1 0.021652 s: category_theory.discrete.braided_category.equations._eqn_1 0.000091 s: linarith.ineq.max._main.equations._eqn_2 0.000024 s: linarith.ineq.max.equations._eqn_2 0.001210 s: category_theory.triangulated.triangle.sizeof 0.001682 s: set.range_eq_Union 0.000338 s: mk_rbtree.equations._eqn_1 0.000111 s: category_theory.with_initial.no_confusion_type 0.000567 s: category_theory.with_initial.no_confusion 0.000132 s: category_theory.with_initial.of.inj 0.000185 s: category_theory.with_initial.of.inj_eq 0.001132 s: rbnode.find._main.equations._eqn_2 0.000249 s: rbnode.find.equations._eqn_2 0.000653 s: category_theory.full.id._proof_1 0.003539 s: parser.mono.digit 0.000616 s: parser.mono.nat 0.000742 s: parser.numeral.of_fintype.mono 0.003501 s: list.prod_of_fn 0.002068 s: ring_quot.rel.star 0.000543 s: _private.2165583209.star'._main 0.000357 s: if_eq_of_eq 0.002999 s: measure_theory.ae_eq_fun.mk_sub 0.000374 s: slim_check.or_counter_example._main.equations._eqn_7 0.000087 s: roption.get_or_else 0.000318 s: roption.get_or_else_some 0.000876 s: function.injective.cancel_monoid_with_zero._proof_6 0.001388 s: category_theory.limits.fin_category_wide_pullback.equations._eqn_1 0.006844 s: category_theory.limits.limit_iso_limit_curry_comp_lim._proof_2 0.004302 s: category_theory.limits.limit_iso_limit_curry_comp_lim._proof_3 0.005397 s: category_theory.limits.limit_iso_limit_curry_comp_lim 0.005451 s: category_theory.limits.limit_iso_limit_curry_comp_lim.equations._eqn_1 0.030922 s: category_theory.limits.limit_uncurry_iso_limit_comp_lim_hom_π_π 0.041182 s: category_theory.limits.limit_iso_limit_curry_comp_lim_hom_π_π 0.004143 s: ordinal.fintype_card 0.003186 s: fin2.is_lt.zero.equations._eqn_1 0.000389 s: slim_check.bool.printable_prop 0.000236 s: slim_check.bool.printable_prop.equations._eqn_1 0.000373 s: prime_spectrum.is_prime.equations._eqn_1 0.001794 s: distrib_mul_action_hom.cases_on 0.004625 s: category_theory.over.creates_connected.nat_trans_in_over.equations._eqn_1 0.001602 s: is_submonoid_Union_of_directed 0.001296 s: is_subgroup_Union_of_directed 0.000544 s: list.qsort.equations._eqn_1 0.000714 s: list.qsort.F._main.equations._eqn_1 0.000152 s: list.qsort.F.equations._eqn_1 0.000951 s: list.qsort_nil 0.002105 s: open_add_subgroup.coe_add_subgroup_le 0.032911 s: open_add_subgroup.semilattice_sup_top._proof_12 0.006030 s: ae_measurable.comp_measurable' 0.001090 s: ae_measurable.fst 0.000123 s: list.lt.equations._eqn_2 0.000489 s: lucas_lehmer.s._main 0.002183 s: lucas_lehmer.s._main.equations._eqn_2 0.017188 s: Gromov_Hausdorff.GH_space_metric_space._proof_7 0.002453 s: multiset.decidable_dforall_multiset._match_1.equations._eqn_1 0.000267 s: finset.bdd_below 0.001622 s: category_theory.adjunction.mk_of_hom_equiv_hom_equiv 0.030258 s: ring_hom.finite 0.000389 s: alg_hom.finite 0.007778 s: module.finite.of_surjective 0.024664 s: module.finite.self 0.080926 s: ring_hom.finite.of_surjective 0.013082 s: alg_hom.finite.of_surjective 0.000262 s: category_theory.limits.walking_pair.swap.equations._eqn_1 0.000272 s: function.fixed_points.equations._eqn_1 0.002658 s: matrix.block_diagonal._main.equations._eqn_1 0.118473 s: complex.is_primitive_root_iff 0.000686 s: directed.sequence._main.equations._eqn_1 0.000193 s: directed.sequence.equations._eqn_1 0.017389 s: nhds_inter_eq_singleton_of_mem_discrete 0.003850 s: disjoint_nhds_within_of_mem_discrete 0.004660 s: category_theory.mono_over.reflective._proof_1 0.000070 s: left_coset_equivalence 0.000460 s: left_coset_equivalence_rel 0.000934 s: asymptotics.is_O.eventually_mul_div_cancel 0.000025 s: punit.has_sizeof 0.000032 s: punit.has_sizeof.equations._eqn_1 0.002917 s: times_cont_mdiff_within_at.comp' 0.002903 s: nnreal.mul_eq_mul_left 0.004757 s: ennreal.mul_eq_mul_left 0.002205 s: ennreal.mul_eq_mul_right 0.004127 s: ordered_add_comm_group.rec_on 0.018542 s: quaternion.conj_add_self' 0.000566 s: tactic.itauto.proof.exfalso'.inj 0.000044 s: tactic.itauto.proof.exfalso'.inj_arrow 0.000439 s: algebraic_geometry.PresheafedSpace.mk.inj 0.000239 s: algebraic_geometry.PresheafedSpace.mk.inj_arrow 0.002854 s: free_algebra.pre.cases_on 0.000428 s: free_algebra.pre.no_confusion_type 0.001046 s: free_algebra.pre.no_confusion 0.000363 s: free_algebra.pre.mul.inj 0.000555 s: free_algebra.pre.mul.inj_eq 0.000381 s: AddGroup.coe_of 0.001565 s: is_simple_lattice.order_iso_bool._proof_1 0.001327 s: is_simple_lattice.order_iso_bool._proof_2 0.000175 s: bool.ff_lt_tt 0.011787 s: is_simple_lattice.order_iso_bool._proof_3 0.002045 s: is_simple_lattice.order_iso_bool 0.000213 s: is_simple_lattice.fintype 0.003033 s: finset.map_union 0.001616 s: finset.map_singleton 0.001875 s: finset.map_insert 0.003338 s: fintype.is_simple_lattice.univ 0.000199 s: subtype.has_equiv 0.000142 s: Top.of.equations._eqn_1 0.006166 s: linear_equiv.to_Module_iso'_right._proof_1 0.007081 s: linear_equiv.to_Module_iso'_right._proof_2 0.002338 s: linear_equiv.to_Module_iso'_right 0.000329 s: equiv.computable 0.000420 s: one_one_equiv.to_many_one 0.000565 s: one_one_reducible.of_equiv 0.001407 s: one_one_reducible.of_equiv_symm 0.000652 s: one_one_equiv.of_equiv 0.000290 s: many_one_equiv.of_equiv 0.000780 s: mul_semiring_action.cases_on 0.000478 s: mul_semiring_action.no_confusion_type 0.000669 s: mul_semiring_action.no_confusion 0.000793 s: mul_semiring_action.mk.inj 0.000848 s: coe.is_add_monoid_hom 0.001061 s: set_inclusion.is_add_monoid_hom 0.000109 s: turing.inhabited_tm2_computable_in_time 0.000058 s: turing.inhabited_tm2_computable_in_time.equations._eqn_1 0.000744 s: comm_monoid.no_confusion_type 0.000714 s: comm_monoid.no_confusion 0.001343 s: comm_monoid.mk.inj 0.002023 s: comm_monoid.mk.inj_arrow 0.000641 s: subtype.connected_space 0.025948 s: unit_interval.connected_space 0.030585 s: unit_interval.connected_space.equations._eqn_1 0.000488 s: commute.cast_int_mul_right 0.006401 s: fintype.linear_independent_iff 0.001674 s: no_zero_smul_divisors.of_no_zero_divisors 0.021263 s: is_basis.no_zero_smul_divisors 0.008554 s: is_basis.smul_eq_zero 0.020041 s: eq_bot_of_rank_eq_zero 0.045490 s: submodule.induction_on_rank_aux._proof_1 0.032682 s: submodule.induction_on_rank_aux._proof_2 0.013351 s: linear_independent.fin_cons' 0.013911 s: submodule.induction_on_rank_aux._proof_3 0.004691 s: submodule.induction_on_rank_aux 0.000131 s: applicative.map._default 0.000184 s: applicative.map._default.equations._eqn_1 0.001404 s: continuous_multilinear_map.no_confusion_type 0.001958 s: continuous_multilinear_map.no_confusion 0.001968 s: continuous_multilinear_map.mk.inj 0.000089 s: tactic.ring2.horner_expr.neg 0.000060 s: tactic.ring2.horner_expr.has_neg 0.001108 s: star_monoid.mk.sizeof_spec 0.003356 s: bitraversable.tfst_tsnd 0.010164 s: is_noetherian_ring.rec_on 0.000057 s: ordered_comm_semiring.has_sizeof_inst 0.000021 s: simps_cfg.type_md._default 0.000026 s: simps_cfg.type_md._default.equations._eqn_1 0.001417 s: equiv.sigma_congr_right.equations._eqn_1 0.002058 s: list.map_erase 0.002364 s: list.map_foldl_erase 0.000744 s: hahn_series.summable_family.sizeof 0.000894 s: continuous_map.comp_coe 0.000354 s: pi.zero_comp 0.006641 s: continuous_map.comp_right_alg_hom._proof_15 0.000129 s: int.div_eq_iff_eq_mul_right 0.000229 s: uniform_space.completion.uniform_space.equations._eqn_1 0.000333 s: category_theory.limits.walking_pair.equiv_bool.equations._eqn_1 0.001135 s: finset.piecewise_le_of_le_of_le 0.000264 s: equiv.add_group._proof_1 0.000450 s: has_continuous_mul.dcases_on 0.203586 s: smooth_bump_covering.embedding_pi_tangent.equations._eqn_1 0.023937 s: category_theory.limits.cokernel_image_ι._proof_2 0.002496 s: measure_theory.outer_measure.trim_sup 0.000273 s: hash_map.contains.equations._eqn_1 0.003207 s: category_theory.functor_to_types.map_inv_map_hom_apply 0.000708 s: multiplicity.eq_of_associated_left 0.000215 s: turing.TM0.cfg.inhabited 0.000238 s: turing.TM0.cfg.inhabited.equations._eqn_1 0.000207 s: vector.topological_space._proof_1 0.000104 s: vector.topological_space 0.000334 s: category_theory.lax_monoidal.has_sizeof_inst 0.000606 s: category_theory.of_type_functor_obj 0.000633 s: subtype.semilattice_inf_top._proof_6 0.437367 s: intermediate_field.finite_dimensional_left.equations._eqn_1 0.023821 s: dfinsupp.sum_add_index 0.000222 s: subtype.semilattice_inf_top._proof_1 0.000186 s: turing.fin_tm2.K_fin 0.000223 s: tactic.abel.term.equations._eqn_1 0.002995 s: tactic.abel.const_add_term 0.000125 s: bounded_continuous_function.to_Lp_hom._proof_1 0.000408 s: category_theory.simplicial_object.category_theory.limits.has_limits_of_shape 0.000647 s: function.fixed_points.decidable 0.000250 s: function.fixed_points.decidable.equations._eqn_1 0.000602 s: pfunctor.M.iselect.equations._eqn_1 0.000218 s: order.pfilter.sizeof 0.000082 s: monad_io_environment.set_cwd 0.000618 s: category_theory.Lan._proof_2 0.000400 s: mul_hom.has_one.equations._eqn_1 0.002386 s: sym2.map_id 0.000498 s: relator.right_total.dcases_on 0.001599 s: filter.eventually.exists_Ioo_subset 0.049326 s: filter.eventually.volume_pos_of_nhds_real 0.001285 s: slim_check.int.sampleable._match_1._proof_1 0.009057 s: slim_check.int.sampleable._match_1.equations._eqn_1 0.004817 s: equiv.perm.is_cycle_of_is_cycle_pow 0.002632 s: category_theory.limits.is_colimit.mk_cocone_morphism.equations._eqn_1 0.000258 s: semiconj_by.inv_inv_symm_iff 0.000209 s: commute.inv_inv_iff 0.000425 s: rack.pre_envel_group_rel'.congr_mul.inj_arrow 0.000023 s: auto.auto_config.has_sizeof_inst 0.123985 s: continuous_linear_map.lmulₗᵢ.equations._eqn_1 0.000045 s: num.zero.inj 0.000040 s: num.zero.inj_eq 0.012405 s: times_cont_mdiff_map.sizeof 0.008918 s: times_cont_mdiff_map.mk.sizeof_spec 0.000026 s: tactic.ring_exp.ex_type.exp.inj 0.009578 s: linear_pmap.eq_locus._match_1.equations._eqn_1 0.000076 s: zsqrtd.distrib.equations._eqn_1 0.000077 s: auto.auto_config.cases_on 0.000154 s: auto.auto_config.no_confusion_type 0.000177 s: auto.auto_config.no_confusion 0.000132 s: auto.auto_config.mk.inj 0.000139 s: auto.auto_config.mk.inj_arrow 0.000881 s: auto.auto_config.decidable_eq 0.000438 s: submonoid.monotone_map 0.000532 s: submonoid.coe_top 0.001121 s: monoid_hom.mrange_top_iff_surjective 0.000638 s: cardinal.lift._match_1.equations._eqn_1 0.000794 s: equiv.perm.sign_symm 0.000918 s: is_closed_map.of_inverse 0.002586 s: mul_equiv.arrow_congr._proof_3 0.000967 s: is_subgroup.mem_norm_comm 0.002924 s: differentiable_at.comp 0.102236 s: differentiable_at.norm 0.017546 s: has_fderiv_at.sub 0.003616 s: differentiable_at.sub 0.072632 s: differentiable_at.dist 0.000098 s: option.has_to_string 0.003096 s: category_theory.with_initial.map._match_2.equations._eqn_2 0.000477 s: category_theory.limits.has_biproduct.drec_on 0.000081 s: turing.to_partrec.cont.then.equations._eqn_5 0.011354 s: has_deriv_within_at.sum 0.004919 s: deriv_within_sum 0.000997 s: bdd_below_Ioi 0.000263 s: random_gen.sizeof 0.005484 s: hahn_series.summable_family.mk.inj_arrow 0.001784 s: algebra.finite_type.dcases_on 0.000721 s: mv_polynomial.decidable_eq_mv_polynomial 0.004138 s: subsemiring.pow_mem 0.002192 s: subalgebra.pow_mem 0.091204 s: algebra.finite_type.mv_polynomial 0.126977 s: algebra.finite_type.iff_quotient_mv_polynomial 0.119948 s: algebra.finite_type.iff_quotient_mv_polynomial' 0.154417 s: algebra.finite_type.iff_quotient_mv_polynomial'' 0.086724 s: algebra.finite_type.of_finite_presentation 0.037503 s: ring_hom.finite_type.of_finite_presentation 0.000361 s: swap_right._main.equations._eqn_1 0.017560 s: category_theory.Ran.equiv_apply_app 0.019971 s: localization_map.lift.equations._eqn_1 0.004828 s: nat.add_mod_eq_add_mod_left 0.004649 s: ordinal.power_dvd_power_iff 0.000080 s: quotient.rec_on_subsingleton'._proof_1 0.000082 s: string_imp.inhabited 0.001574 s: category_theory.monadic_creates_colimits_of_shape_of_preserves_colimits_of_shape 0.001138 s: submonoid.map_comap_eq_of_surjective 0.000376 s: add_group.nsmul._default.equations._eqn_1 0.002575 s: nat.pow_right_injective 0.005002 s: nat.mem_divisors_prime_pow 0.008069 s: nat.divisors_prime_pow 0.006372 s: nat.sum_divisors_prime_pow 0.006782 s: nat.prod_divisors_prime_pow 0.005552 s: filter.map_sub_at_top_eq_nat 0.000220 s: filter.tendsto_sub_at_top_nat 0.001013 s: with_zero.canonically_ordered_add_monoid._proof_5 0.000410 s: composition.inv_embedding.equations._eqn_1 0.000054 s: ematch_config.max_generation._default 0.001201 s: quaternion.conj_alg_equiv 0.033762 s: rank_le_domain 0.006471 s: nat.le_three_of_sqrt_eq_one 0.019122 s: direct_sum.lie_algebra_of._proof_3 0.004347 s: quotient_add_group.quotient_ker_equiv_range._proof_1 0.000057 s: tactic.dsimp_config.canonize_instances 0.000034 s: rack.pre_envel_group.unit.inj 0.000068 s: rack.pre_envel_group.unit.inj_arrow 0.000991 s: category_theory.subobject.of_mk_le 0.000983 s: category_theory.subobject.of_mk_le.equations._eqn_1 0.028440 s: category_theory.subobject.of_mk_le_comp_of_le_mk 0.009770 s: category_theory.subobject.iso_of_eq_mk._proof_4 0.000329 s: exists_unique_false 0.034188 s: linear_map.rtensor_neg 0.004950 s: fintype.choose_x._proof_1 0.489869 s: polynomial.gal.restrict_smul 0.004882 s: homeomorph.prod_congr._proof_1 0.005926 s: homeomorph.prod_congr 0.007889 s: bundle_trivialization.trans_fiber_homeomorph._proof_1 0.005863 s: homeomorph.prod_congr_symm 0.000790 s: homeomorph.refl_symm 0.002416 s: homeomorph.coe_prod_congr 0.000373 s: homeomorph.refl_apply 0.007207 s: bundle_trivialization.trans_fiber_homeomorph._proof_2 0.005411 s: bundle_trivialization.trans_fiber_homeomorph._proof_3 0.001673 s: bundle_trivialization.trans_fiber_homeomorph 0.000674 s: bundle_trivialization.coord_change 0.001116 s: bundle_trivialization.coord_change.equations._eqn_1 0.003451 s: bundle_trivialization.mk_coord_change 0.002867 s: bundle_trivialization.coord_change_coord_change 0.001158 s: bundle_trivialization.coord_change_same_apply 0.000860 s: bundle_trivialization.coord_change_homeomorph._proof_1 0.000720 s: bundle_trivialization.coord_change_homeomorph._proof_2 0.002352 s: bundle_trivialization.continuous_coord_change 0.001095 s: bundle_trivialization.coord_change_homeomorph 0.005731 s: bundle_trivialization.trans_fiber_homeomorph_apply 0.001499 s: bundle_trivialization.coord_change_homeomorph_coe 0.001734 s: bundle_trivialization.coord_change_apply_snd 0.002782 s: bundle_trivialization.piecewise_le._proof_1 0.001789 s: alg_equiv.to_linear_equiv_inj 0.000224 s: locally_constant.sizeof 0.010712 s: matrix.cons_vec_alt0 0.000060 s: pos.sizeof 0.000269 s: znum.mul._main.equations._eqn_3 0.000115 s: slim_check.gen.equations._eqn_1 0.000244 s: int.lxor._main.equations._eqn_2 0.001829 s: complex.abs_sub 0.000526 s: add_subgroup.sizeof 0.046210 s: category_theory.discrete.monoidal_functor_comp._proof_7 0.008219 s: nat.to_digits._main.equations._eqn_2 0.000150 s: nat.to_digits.equations._eqn_2 0.245191 s: has_fderiv_within_at.sinh 0.254041 s: fderiv_within_sinh 0.041199 s: associates.comm_monoid.equations._eqn_1 0.000039 s: congr_arg_kind.has_repr 0.003520 s: category_theory.comonad.comparison_obj_A 0.000328 s: pos_num.ldiff._main.equations._eqn_1 0.009203 s: list.self_mem_range_succ 0.000248 s: omega.nat.preform.sizeof 0.000052 s: omega.nat.preform.has_sizeof_inst 0.039603 s: direct_sum.lie_algebra._proof_1 0.040897 s: direct_sum.lie_algebra._proof_2 0.589294 s: direct_sum.lie_algebra._proof_3 0.108184 s: direct_sum.lie_algebra 0.090129 s: direct_sum.lie_algebra.equations._eqn_1 0.016192 s: category_theory.center.forget_to_lax_monoidal_functor_μ 0.000425 s: topological_space.opens.equiv._proof_1 0.005317 s: topological_space.opens.equiv._proof_2 0.000896 s: topological_space.opens.equiv 0.000127 s: pgame.has_div 0.000063 s: pgame.has_div.equations._eqn_1 0.000354 s: ordnode.insert.equations._eqn_2 0.000202 s: ordnode.insert._match_1.equations._eqn_2 0.000314 s: ordnode.insert._match_1.equations._eqn_3 0.004524 s: ordnode.insert_eq_insert_with 0.000941 s: ordnode.insert.valid 0.000092 s: slim_check.or_counter_example._main._proof_1 0.000477 s: psigma.fintype_prop_left._match_1 0.000166 s: psigma.fintype_prop_left._proof_2 0.000200 s: occurrences.contains._main 0.000015 s: occurrences.contains 0.000107 s: occurrences.contains._main.equations._eqn_1 0.000042 s: occurrences.contains.equations._eqn_1 0.000147 s: set.has_le.equations._eqn_1 0.003095 s: finset_is_basis_of_linear_independent_of_card_eq_findim 0.002412 s: add_submonoid.localization_map.sizeof 0.003167 s: add_submonoid.localization_map.mk.sizeof_spec 0.001485 s: isometric.group._proof_5 0.000716 s: nat.decidable_prime 0.000478 s: nat.decidable_prime.equations._eqn_1 0.000388 s: measurable.le_map 0.051017 s: submodule.span_smul_span 0.048984 s: ideal.span_mul_span 0.000417 s: totally_bounded_Ioo 0.015255 s: real.totally_bounded_ball 0.001321 s: category_theory.is_split_coequalizer.condition_assoc 0.028928 s: is_lub.exists_between_sub_self 0.000554 s: is_regular_one 0.000766 s: is_right_regular_of_mul_eq_one 0.006630 s: matrix.special_linear_group.one_val 0.001364 s: list.mmap_with_index_aux._main.equations._eqn_2 0.000510 s: list.mmap_with_index_aux.equations._eqn_2 0.003881 s: list.mmap_with_index_aux_spec_cons 0.002197 s: list.mmap_with_index_aux_eq_mmap_with_index_aux_spec 0.001319 s: qpf.Wequiv.abs' 0.000534 s: pfunctor.W.dest_mk 0.004288 s: qpf.Wrepr_equiv 0.000284 s: qpf.Wrepr.equations._eqn_1 0.001580 s: qpf.recF_eq 0.003074 s: qpf.fix.ind_aux 0.001643 s: qpf.fix.ind 0.000910 s: add_subgroup.to_subgroup._proof_1 0.000363 s: category_theory.projective_presentation.sizeof 0.001383 s: category_theory.projective_presentation.mk.sizeof_spec 0.000517 s: category_theory.limits.mono_factorisation.sizeof 0.000116 s: category_theory.limits.mono_factorisation.has_sizeof_inst 0.000173 s: category_theory.limits.has_limit.cases_on 0.008706 s: AddCommGroup.as_hom_injective 0.011149 s: AddCommGroup.injective_of_mono 0.014642 s: AddCommGroup.image.lift._proof_3 0.002932 s: measure_theory.measure.pi_Ioc_ae_eq_pi_Icc 0.001680 s: measure_theory.measure.univ_pi_Ioc_ae_eq_Icc 0.005026 s: real.volume_pi_Ioc 0.040864 s: real.volume_pi_Ioc_to_real 0.009641 s: category_theory.fin_category.rec_on 0.000063 s: expr.coord.code.equations._eqn_4 0.000030 s: fin_enum.psigma.fin_enum_prop_prop._proof_1 0.000073 s: fin_enum.psigma.fin_enum_prop_prop._proof_3 0.002468 s: fin_enum.psigma.fin_enum_prop_prop._proof_4 0.000172 s: fin_enum.psigma.fin_enum_prop_prop._proof_5 0.000513 s: fin_enum.psigma.fin_enum_prop_prop 0.000098 s: computability.section_Γ'_bool._sunfold 0.000517 s: int.gcd_eq_zero_iff 0.009175 s: zmod.inv_coe_unit 0.000308 s: equiv.int_equiv_nat_sum_nat.equations._eqn_1 0.001132 s: measure_theory.ae_eq_fun.lintegral.equations._eqn_1 0.013272 s: category_theory.structured_arrow.mk_id_initial._proof_2 0.025804 s: category_theory.structured_arrow.mk_id_initial._proof_3 0.012098 s: category_theory.structured_arrow.mk_id_initial 0.004090 s: category_theory.monoidal_nat_trans.mk.inj 0.003465 s: category_theory.monoidal_nat_trans.mk.inj_arrow 0.001782 s: ordinal.add_le_add_iff_right 0.001333 s: ordinal.add_right_cancel 0.000383 s: subtype.coind_injective 0.002391 s: cardinal.mk_preimage_of_injective_lift 0.000938 s: cardinal.mk_preimage_of_injective 0.004359 s: ennreal.zero_eq_coe 0.174833 s: interval_integral.measure_integral_sub_linear_is_o_of_tendsto_ae_of_le' 0.021260 s: category_theory.limits.comp_preserves_limits_of_shape 0.002390 s: category_theory.limits.comp_preserves_limits 0.002494 s: category_theory.limits.comp_preserves_limits.equations._eqn_1 0.000656 s: category_theory.limits.cofan.mk_X 0.000552 s: turing.TM0to1.tr_cfg._sunfold 0.000301 s: ordnode.node.inj_arrow 0.000240 s: hash_map.has_mem 0.000342 s: hash_map.has_mem.equations._eqn_1 0.098412 s: interval_integral.smul_integral_comp_mul_right 0.158959 s: interval_integral.mul_integral_comp_mul_right 0.001179 s: turing.TM1to1.write._main.equations._eqn_2 0.000391 s: turing.TM1to1.write.equations._eqn_2 0.023284 s: fin.range_cast_le 0.011343 s: fin.cycle_range_of_gt 0.000141 s: pos_num.pred'._sunfold 0.000093 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_opens_le_cover._proof_3 0.000435 s: rbtree.from_list 0.000208 s: rbtree_of 0.000374 s: rbtree_of.equations._eqn_1 0.000794 s: ctop.no_confusion_type 0.001100 s: ctop.no_confusion 0.001605 s: ctop.mk.inj 0.009517 s: ctop.mk.inj_eq 0.002264 s: add_units.lift_right_neg_add 0.001628 s: is_add_unit.lift_right_neg_add 0.006170 s: add_submonoid.localization_map.lift_add_right 0.005070 s: add_submonoid.localization_map.map_add_right 0.000230 s: add_con.add_group._proof_1 0.000234 s: pfun.ran 0.000154 s: pfun.ran.equations._eqn_1 0.000863 s: complex.star_ring._proof_1 0.008187 s: complex.star_ring._proof_2 0.000037 s: complex.inhabited 0.009683 s: complex.star_ring._proof_3 0.000818 s: complex.star_ring 0.000497 s: complex.star_ring.equations._eqn_1 0.002261 s: topological_add_group.to_has_continuous_sub.equations._eqn_1 0.145413 s: subspace.dual_lift_right_inverse 0.239875 s: subspace.dual_restrict_surjective 0.027253 s: set.preimage_add_const_Ico 0.008226 s: set.image_const_add_Ico 0.002427 s: asymptotics.is_O_const_mul_left_iff' 0.026615 s: asymptotics.is_O_const_mul_left_iff 0.013610 s: asymptotics.is_O_const_smul_left_iff 0.001785 s: tendsto_uniformly_on.mono 0.001539 s: wseq.mem_of_mem_dropn 0.000724 s: group.in_closure.rec_on 0.003994 s: group.image_closure 0.013670 s: has_smooth_add.sum.equations._eqn_1 0.004704 s: category_theory.monad.algebra.hom.no_confusion_type 0.001906 s: category_theory.monad.algebra.hom.no_confusion 0.002180 s: category_theory.monad.algebra.hom.mk.inj 0.002400 s: category_theory.monad.algebra.hom.mk.inj_arrow 0.004140 s: category_theory.monad.algebra.hom.ext_iff 0.002145 s: submodule.has_scalar.equations._eqn_1 0.000132 s: set.union.equations._eqn_1 0.000042 s: and.rec_on 0.003249 s: fintype.subtype._match_1.equations._eqn_1 0.000081 s: omega.int.preform.fresh_index.equations._eqn_5 0.001871 s: category_theory.exact.drec_on 0.000039 s: slim_check.test_result.has_to_string 0.011184 s: interval_integral.FTC_filter.nhds_right.equations._eqn_1 0.003032 s: is_seq_compact.subseq_of_frequently_in 0.000505 s: compact_iff_finite_subcover 0.000641 s: uniform_space.has_basis_symmetric 0.000644 s: uniform_space.has_seq_basis 0.000861 s: ball_eq_of_symmetry 0.016764 s: lebesgue_number_lemma_seq 0.006251 s: totally_bounded_of_forall_symm 0.001577 s: set.nat.fintype_Iio._proof_1 0.000153 s: set.nat.fintype_Iio 0.003742 s: set.seq_of_forall_finite_exists 0.000504 s: set.bUnion_image 0.005731 s: cauchy_seq.mem_entourage 0.000275 s: is_seq_compact.equations._eqn_1 0.025506 s: is_seq_compact.totally_bounded 0.011798 s: is_seq_compact.is_compact 0.000283 s: uniform_space.compact_iff_seq_compact 0.000406 s: metric.compact_iff_seq_compact 0.003113 s: metric.bounded_closure_of_bounded 0.001015 s: tendsto_subseq_of_frequently_bounded 0.007101 s: measure_theory.ae_eq_set 0.001697 s: null_measurable_set.diff_null 0.003423 s: null_measurable_set_iff_ae 0.001688 s: ae_measurable.null_measurable_set 0.000279 s: slim_check.injective_function.no_confusion_type 0.000275 s: partition.of_sums.equations._eqn_1 0.003379 s: mem_subalgebra_equiv_intermediate_field_symm 0.003208 s: turing.TM2to1.stmt_st_rec._main.equations._eqn_4 0.001530 s: turing.TM2to1.stmt_st_rec.equations._eqn_4 0.012150 s: rat.coe_int_div 0.000192 s: regular_expression.zero.inj_eq 0.027804 s: category_theory.pi.comap_id._proof_3 0.000612 s: quot.congr_right.equations._eqn_1 0.008310 s: perfection_map.hom_ext 0.000649 s: nat.div2_two 0.000397 s: pgame.restricted.below 0.000254 s: pSet.resp.refl 0.001722 s: pSet.arity.equiv._main.equations._eqn_2 0.000776 s: pSet.arity.equiv.equations._eqn_2 0.004716 s: pSet.resp.euc 0.000365 s: pSet.resp.setoid._proof_1 0.006461 s: zmod.nontrivial.equations._eqn_1 0.033163 s: category_theory.Ran.equiv.equations._eqn_1 0.000039 s: fp.float.is_zero 0.000124 s: fp.float.is_zero.equations._eqn_4 0.007349 s: continuous_map_has_scalar' 0.005825 s: continuous_map_module'._proof_1 0.004711 s: continuous_map_module'._proof_2 0.019279 s: continuous_map_module'._proof_3 0.017409 s: continuous_map_module'._proof_4 0.032930 s: continuous_map_module'._proof_5 0.036765 s: continuous_map_module'._proof_6 0.013002 s: continuous_map_module' 0.000397 s: finset.insert_ne_empty 0.000521 s: computation.think.equations._eqn_1 0.001723 s: equiv_functor.rec_on 0.000266 s: subgroup.of._proof_1 0.000387 s: subgroup.of._proof_2 0.000325 s: subgroup.of 0.001217 s: subgroup.of_normal 0.001148 s: subgroup.of_normal.equations._eqn_1 0.000351 s: is_solvable.dcases_on 0.000254 s: Module.direct_limit_diagram._proof_1 0.002704 s: module.directed_system.map_map 0.005491 s: Module.direct_limit_diagram._proof_3 0.003163 s: Module.direct_limit_diagram 0.028839 s: module.direct_limit.add_comm_group 0.061765 s: module.direct_limit.semimodule 0.046266 s: Module.direct_limit_cocone._proof_1 0.013887 s: Module.direct_limit_cocone 0.035791 s: Module.direct_limit_cocone_ι_app 0.243661 s: asymptotics.is_equivalent.tendsto_at_top 0.077697 s: filter.tendsto_const_mul_pow_at_top 0.128888 s: polynomial.tendsto_at_top_of_leading_coeff_nonneg 0.000382 s: uniform_inducing.cases_on 0.017094 s: category_theory.monad.forget_creates_colimits.cocone_point_a 0.000353 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.pack_unpack 0.000251 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.pack_unpack_0_0 0.000274 s: exp_char.cases_on 0.011547 s: category_theory.Mat_.additive_obj_iso_biproduct_naturality'_assoc 0.000052 s: nat.partrec.code.succ.sizeof_spec 0.000535 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_1 0.000305 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_2 0.001417 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_3 0.000289 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_4 0.000182 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_5 0.004430 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_6 0.000931 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_7 0.004163 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_8 0.000722 s: topological_space.opens.map_comp_obj_unop 0.002024 s: category_theory.eq_to_hom_unop 0.264911 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_10 0.000218 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app._proof_12 0.076855 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app 0.010992 s: category_theory.preserves_limits_iso_hom_π 0.018794 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation_hom_π 0.011424 s: category_theory.limits.limit_obj_ext 0.015195 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation_inv_π_app 0.007880 s: category_theory.limits.limit_obj_iso_limit_comp_evaluation_inv_π_app_assoc 0.011156 s: topological_space.opens.map_comp_map 0.002998 s: category_theory.functor.congr_hom 0.453070 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_naturality 0.026543 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit._proof_1 0.001520 s: algebraic_geometry.PresheafedSpace.comp_base 0.004632 s: algebraic_geometry.PresheafedSpace.colimit_cocone_ι_app_base 0.330047 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit._proof_2 0.491546 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit._proof_3 0.029734 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit 0.000463 s: algebraic_geometry.PresheafedSpace.category_theory.limits.has_colimits 0.000294 s: algebraic_geometry.PresheafedSpace.category_theory.limits.has_colimits.equations._eqn_1 0.002116 s: category_theory.equivalence.to_adjunction.equations._eqn_1 0.002588 s: is_dedekind_domain_dvr.dcases_on 0.000061 s: io.net.socket.equations._eqn_1 0.000087 s: zsqrtd.has_add.equations._eqn_1 0.001089 s: many_one_degree.lift_on₂.equations._eqn_1 0.000218 s: wseq.bisim_o.equations._eqn_1 0.000044 s: cc_config.ac._default 0.000180 s: turing.partrec_to_TM2.split_at_pred._sunfold 0.000420 s: quaternion.inhabited 0.012581 s: direct_sum.gcomm_monoid.of_add_submonoids._match_1.equations._eqn_1 0.000542 s: set.mem_interval_of_ge 0.000223 s: znum.div._main.equations._eqn_9 0.000267 s: CommGroup.inhabited 0.008225 s: zsqrtd.norm.is_monoid_hom 0.000067 s: linarith.linexp.contains 0.000110 s: tactic.interactive.case_tag.sizeof 0.001560 s: set.preimage_const_sub_Ioi 0.000642 s: order_dual.to_dual_lt 0.002654 s: formal_multilinear_series.remove_zero._main.equations._eqn_2 0.001264 s: formal_multilinear_series.remove_zero.equations._eqn_2 0.000784 s: ctop.realizer.is_open 0.008229 s: ctop.realizer.nhds._match_7 0.009234 s: ctop.realizer.nhds._match_7.equations._eqn_1 0.034429 s: holor.add_comm_group._proof_7 0.005385 s: with_zero.semiring._proof_5 0.000550 s: mul_action.mem_fixed_points 0.004055 s: mul_action.mem_fixed_points_iff_card_orbit_eq_one 0.000554 s: classical.all_definable._main._proof_1 0.002332 s: linear_equiv.rec_on 0.001709 s: category_theory.tensor_iso_inv 0.000424 s: monotonic_sequence_limit_index.equations._eqn_1 0.001788 s: finsupp.split_apply 0.000245 s: buffer.rev_iterate._sunfold 0.000226 s: category_theory.pairwise.comp.equations._eqn_1 0.012035 s: algebraic_geometry.PresheafedSpace.id.equations._eqn_1 0.204253 s: category_theory.equivalence.congr_right._proof_1 0.175059 s: category_theory.equivalence.congr_right._proof_2 0.055878 s: category_theory.equivalence.congr_right 0.004896 s: category_theory.equivalence.congr_right_inverse 0.000091 s: order_iso.refl 0.001026 s: order_iso.symm_refl 0.011715 s: fin.range_succ_above 0.001787 s: set.compl_ne_eq_singleton 0.002356 s: fin.succ_above_left_injective 0.000665 s: metric.diam_mono 0.006508 s: ennreal.to_real_le_of_le_of_real 0.000415 s: metric.diam_le_of_forall_dist_le 0.025538 s: metric.diam_closed_ball 0.000767 s: metric.diam_ball 0.003040 s: lcm_eq_right_iff 0.000208 s: filter.germ.comm_semiring._proof_2 0.000335 s: pos_num.lor._main.equations._eqn_7 0.003438 s: submodule.to_add_submonoid_strict_mono 0.000411 s: submodule.to_add_submonoid_mono 0.108028 s: ennreal.has_measurable_mul₂.equations._eqn_1 0.000278 s: monad_io_net_system.listen 0.000084 s: io.net.listen 0.000106 s: list.partition_map 0.000128 s: filter.has_seq.equations._eqn_1 0.000351 s: is_unit.submonoid.equations._eqn_1 0.015167 s: multiset.union_comm 0.002217 s: multiset.eq_union_right 0.008098 s: continuous_linear_equiv.symm_image_image 0.007504 s: continuous_linear_equiv.image_symm_image 0.000098 s: multiplicative.partial_order.equations._eqn_1 0.000462 s: locally_constant.continuous 0.003339 s: mvpfunctor.liftp_iff 0.002447 s: mvpfunctor.liftp_iff' 0.000085 s: int.div2._main 0.000011 s: int.div2 0.012951 s: int.bodd_add_div2 0.000968 s: int.bit_decomp 0.000083 s: int.bit_cases_on._proof_1 0.000063 s: int.bit_cases_on 0.002176 s: int.test_bit_zero 0.002156 s: int.test_bit_succ 0.001332 s: int.test_bit_bitwise 0.000283 s: int.test_bit_lor 0.003411 s: set.image_diff 0.004238 s: measure_theory.measure.comap._proof_1 0.002271 s: measure_theory.measure.comap 0.002771 s: measure_theory.measure.comap.equations._eqn_1 0.013856 s: category_theory.limits.is_initial.of_iso._proof_4 0.004744 s: hahn_series.smul_comm_class 0.002570 s: hahn_series.smul_comm_class.equations._eqn_1 0.000981 s: Module.Mon_Module_equivalence_Algebra.inverse_obj_2 0.002868 s: applicative_transformation.mk.inj_eq 0.005437 s: slim_check.test_result.to_string._main.equations._eqn_3 0.001126 s: category_theory.with_initial.quiver.hom.unique._match_1 0.001066 s: set.diff_singleton_subset_iff 0.002604 s: set.subset_diff_singleton 0.002626 s: set.mem_Icc_Ico_Ioc_Ioo_of_subset_of_subset 0.014875 s: is_connected.Ioo_cInf_cSup_subset 0.003163 s: set.Ioi_union_left 0.002138 s: set.mem_Ici_Ioi_of_subset_of_subset 0.012826 s: is_preconnected.Ioi_cInf_subset 0.004483 s: set.mem_Iic_Iio_of_subset_of_subset 0.043756 s: is_preconnected.Iio_cSup_subset 0.012308 s: not_bdd_below_iff 0.004430 s: is_preconnected.eq_univ_of_unbounded 0.017892 s: is_preconnected.mem_intervals 0.010546 s: set_of_is_preconnected_subset_of_ordered 0.000632 s: filter_basis.cases_on 0.000386 s: filter_basis.no_confusion_type 0.009629 s: multilinear_map.map._match_1.equations._eqn_1 0.001288 s: parser.err_static.pure.equations._eqn_1 0.004831 s: set.Icc_union_Icc' 0.004832 s: set.Icc_union_Icc 0.012595 s: summable_of_sum_range_le 0.007024 s: tsum_le_of_sum_range_le 0.000585 s: tactic_doc._1799744623 0.000175 s: is_preorder.dcases_on 0.001131 s: linear_map.std_basis.equations._eqn_1 0.000033 s: nat.partrec.code.succ.inj 0.000036 s: nat.partrec.code.succ.inj_eq 0.001014 s: euclidean_geometry.angle_eq_of_ne 0.000367 s: bifunctor.flip.equations._eqn_1 0.014436 s: measure_theory.outer_measure.le_add_caratheodory 0.009960 s: alg_equiv.comap 0.023231 s: localization_map.away_map.lift._proof_1 0.008362 s: localization_map.away_map.lift 0.003185 s: localization_map.away_map.lift.equations._eqn_1 0.000066 s: znum.abs._sunfold 0.000161 s: DFA.rec_on 0.023304 s: witt_vector.id_is_poly.equations._eqn_1 0.018580 s: distrib_lattice_of_linear_order._match_1.equations._eqn_1 0.000807 s: prod.preorder._match_1.equations._eqn_1 0.000144 s: turing.to_partrec.cfg.then._main.equations._eqn_2 0.002565 s: alg_hom.coe_add_monoid_hom 0.001797 s: alg_hom.coe_add_monoid_hom_injective 0.000893 s: affine.simplex.rec_on 0.001745 s: is_conj_one_right 0.000112 s: CommSemiRing.of.equations._eqn_1 0.000075 s: linarith.ineq.no_confusion_type 0.000224 s: linarith.ineq.no_confusion 0.000235 s: category_theory.abelian.is_limit_image'._proof_2 0.000100 s: category_theory.abelian.is_limit_image'._proof_3 0.002106 s: category_theory.abelian.is_limit_image'._proof_4 0.000143 s: category_theory.abelian.is_limit_image'._proof_5 0.000219 s: category_theory.abelian.is_limit_image'._proof_6 0.000223 s: category_theory.abelian.is_limit_image'._proof_7 0.009583 s: category_theory.abelian.is_limit_image' 0.000214 s: zsqrtd.mul._main.equations._eqn_1 0.000224 s: sum.has_to_string._match_1 0.000445 s: sum.has_to_string._match_1.equations._eqn_1 0.000393 s: category_theory.arrow.has_lift.struct.equations._eqn_1 0.008212 s: linear_map.lsum_apply 0.001161 s: add_subgroup.has_neg.equations._eqn_1 0.002739 s: free_group.red.decidable_rel._sunfold 0.001578 s: set.preimage_prod_map_prod 0.003501 s: real.uniform_add_group.equations._eqn_1 0.001782 s: power_series.cos 0.000617 s: power_series.cos.equations._eqn_1 0.001746 s: dfinsupp.prod_mul 0.000267 s: lists'.has_mem.equations._eqn_1 0.003651 s: ring_equiv.sof_left_inverse._match_1 0.003041 s: ring_equiv.sof_left_inverse._proof_1 0.001105 s: ring_equiv.sof_left_inverse._proof_2 0.014343 s: ring_equiv.sof_left_inverse 0.004600 s: ring_equiv.sof_left_inverse_symm_apply 0.000231 s: ulift.seq._sunfold 0.000982 s: add_subgroup.add_group_equiv_quotient_times_add_subgroup._proof_2 0.001664 s: nat.partrec'.rec_on 0.002582 s: slim_check.injective_function.perm.slice._sunfold 0.002010 s: regular_space.t2_space._match_4.equations._eqn_1 0.008885 s: category_theory.over.coprod_map_app 0.000207 s: prod.complete_lattice._proof_1 0.000231 s: prod.complete_lattice._proof_2 0.000514 s: prod.complete_lattice._proof_4 0.000514 s: prod.complete_lattice._proof_5 0.000441 s: prod.complete_lattice._proof_6 0.000645 s: prod.complete_lattice._proof_7 0.000442 s: prod.complete_lattice._proof_8 0.000504 s: prod.complete_lattice._proof_10 0.000379 s: prod.complete_lattice._proof_11 0.000434 s: prod.complete_lattice._proof_12 0.011201 s: prod.complete_lattice._proof_13 0.015543 s: prod.complete_lattice._proof_14 0.016881 s: prod.complete_lattice._proof_15 0.009139 s: prod.complete_lattice 0.007639 s: prod.complete_lattice.equations._eqn_1 0.000424 s: star_ring.cases_on 0.000192 s: star_ring.no_confusion_type 0.003088 s: separated_regular._match_1.equations._eqn_1 0.000857 s: real.tendsto_comp_exp_at_top 0.000321 s: writer_t.adapt 0.000339 s: writer_t.adapt.equations._eqn_1 0.000685 s: Profinite.t2_space.equations._eqn_1 0.001424 s: nsmul.is_add_monoid_hom 0.000258 s: add_units.is_add_unit_add_unit 0.001963 s: is_add_unit.map 0.003255 s: add_submonoid.localization_map.away_map.lift._proof_1 0.000758 s: list.choose_x._match_2._proof_1 0.000630 s: submonoid.to_ordered_comm_monoid._proof_3 0.000403 s: gal_zero_is_solvable 0.001445 s: alg_hom.mem_equalizer 0.368418 s: polynomial.gal.ext 0.031769 s: polynomial.leading_coeff_X_pow_sub_one 0.003185 s: gpow_mul' 0.001816 s: monoid_hom.map_cyclic 0.020746 s: roots_of_unity.is_cyclic 0.004466 s: ring_hom.restrict_roots_of_unity_coe_apply 0.001152 s: subgroup.coe_pow 0.017483 s: roots_of_unity.coe_pow 0.100551 s: ring_hom.map_root_of_unity_eq_pow_self 0.335189 s: gal_X_pow_sub_one_is_solvable 0.022448 s: ctop.realizer.nhds._match_2.equations._eqn_1 0.000099 s: slim_check.large.functor 0.000315 s: slim_check.large.functor.equations._eqn_1 0.010052 s: category_theory.iso.conj_Aut_hom 0.002974 s: category_theory.functor.map_conj_Aut 0.000253 s: wseq.inits._match_2 0.000130 s: wseq.inits 0.000225 s: wseq.inits.equations._eqn_1 0.000533 s: list.perm_singleton 0.000080 s: list.perm.eq_singleton 0.000122 s: list.perm.singleton_eq 0.002160 s: AddCommGroup.colimits.prequotient.of.inj_eq 0.002351 s: mul_equiv.arrow_congr._proof_2 0.001309 s: list.map₂_left._main.equations._eqn_3 0.000324 s: list.map₂_left.equations._eqn_3 0.000454 s: game.add_semigroup.equations._eqn_1 0.003024 s: primrec.option_orelse 0.000181 s: option.none_orelse' 0.000307 s: option.none_orelse 0.000215 s: option.some_orelse 0.007510 s: nat.partrec.merge' 0.060149 s: has_strict_fderiv_at.mul_const 0.052125 s: has_strict_fderiv_at.const_mul 0.000841 s: set.surj_on_bUnion 0.002205 s: add_monoid_hom.mrange_restrict.equations._eqn_1 0.000324 s: int.sub_le_sub_left 0.013447 s: sesq_form.neg_left 0.005316 s: sesq_form.sub_left 0.000116 s: PartialOrder.inhabited 0.082649 s: complex.exists_pow_nat_eq 0.019615 s: complex.exists_eq_mul_self 0.000845 s: subgroup.mem_gpowers 0.000377 s: is_cyclic_of_subsingleton 0.000115 s: subgroup.nontrivial_iff 0.000052 s: subgroup.nontrivial 0.000232 s: is_simple_group.exists_pair_ne 0.000073 s: is_simple_group.to_nontrivial 0.000186 s: is_simple_group.eq_bot_or_eq_top_of_normal 0.000099 s: subgroup.normal.eq_bot_or_eq_top 0.002950 s: is_simple_group.subgroup.is_simple_lattice 0.006043 s: is_simple_group.is_cyclic 0.005532 s: set_pi_mem_nhds 0.001894 s: pi_Iio_mem_nhds 0.013834 s: pi_Ioi_mem_nhds 0.003549 s: continuous_within_at.comp' 0.021920 s: times_cont_mdiff_within_at_iff_target 0.005426 s: smooth_within_at_iff_target 0.038316 s: has_deriv_within_at.csinh 0.000595 s: quot.rec_on_subsingleton.equations._eqn_1 0.008963 s: category_theory.monad.sizeof 0.001147 s: with_one.coe_mul_hom.equations._eqn_1 0.003532 s: linear_pmap.sizeof 0.000199 s: linear_pmap.has_sizeof_inst 0.000501 s: wseq.tail.aux._main.equations._eqn_2 0.000115 s: wseq.tail.aux.equations._eqn_2 0.002013 s: ring_hom.eq_of_eq_on_subfield_top 0.537259 s: polynomial.is_splitting_field.mul 0.000329 s: one_hom.sizeof 0.000068 s: one_hom.has_sizeof_inst 0.030357 s: category_theory.sigma.incl_comp_map_inv_app 0.000378 s: wseq.take._match_1 0.000260 s: wseq.take._match_2 0.001885 s: finmap.not_mem_empty 0.000036 s: expr.coord.has_to_string 0.000029 s: expr.coord.has_to_string.equations._eqn_1 0.002886 s: add_subgroup.center._proof_3 0.002509 s: multiset.add_union_distrib 0.021629 s: quaternion_algebra.algebra.equations._eqn_1 0.000791 s: measure_theory.simple_func.eq_zero_of_mem_range_zero 0.000105 s: pnat.xgcd_type.qp.equations._eqn_1 0.000075 s: std.priority.default 0.000086 s: std.priority.default.equations._eqn_1 0.000033 s: linarith.ineq.lt.inj 0.000043 s: linarith.ineq.lt.inj_arrow 0.001073 s: category_theory.limits.has_product_of_has_biproduct 0.000215 s: category_theory.limits.biproduct_iso._proof_3 0.003220 s: category_theory.triangulated.pretriangulated.rot_of_dist_triangle 0.007795 s: category_theory.pi.comap_id._proof_1 0.004481 s: category_theory.pi.comap_id._proof_2 0.035550 s: category_theory.pi.comap_id._proof_4 0.016224 s: category_theory.pi.comap_id 0.004129 s: category_theory.pi.comap_id_hom_app 0.000857 s: category_theory.single_obj.to_End_def 0.000711 s: wseq.zip_with._match_1.equations._eqn_2 0.002348 s: ring_equiv.subring_congr._proof_5 0.000136 s: set.set_semiring.mul_zero_one_class._proof_1 0.000074 s: set.set_semiring.mul_zero_one_class._proof_2 0.000131 s: set.set_semiring.mul_zero_one_class._proof_3 0.000082 s: set.set_semiring.mul_zero_one_class._proof_4 0.000538 s: set.set_semiring.mul_zero_one_class 0.000461 s: set.set_semiring.mul_zero_one_class.equations._eqn_1 0.000522 s: field_of_integral_domain._proof_12 0.000710 s: equiv.psigma_equiv_sigma.equations._eqn_1 0.000049 s: io.process.stdio.null.inj 0.000044 s: io.process.stdio.null.inj_arrow 0.007639 s: real.nnabs 0.005938 s: real.nnabs.equations._eqn_1 0.004750 s: nnreal.coe_nnabs 0.000110 s: pSet.to_set.equations._eqn_1 0.000108 s: fin2.is_lt.sizeof 0.000103 s: turing.reaches₀.equations._eqn_1 0.000598 s: category_theory.lax_monoidal_functor.id._proof_2 0.022235 s: category_theory.lax_monoidal_functor.id._proof_4 0.020022 s: category_theory.lax_monoidal_functor.id._proof_5 0.008247 s: category_theory.lax_monoidal_functor.id._proof_6 0.010248 s: category_theory.lax_monoidal_functor.id 0.001688 s: category_theory.monoidal.transported_monoidal_unit_iso._proof_1 0.046878 s: category_theory.monoidal.transported_monoidal_unit_iso._proof_2 0.080488 s: category_theory.monoidal.transported_monoidal_unit_iso._proof_3 0.027596 s: category_theory.monoidal.transported_monoidal_unit_iso 0.019654 s: category_theory.monoidal.transported_monoidal_unit_iso_hom_to_nat_trans_app 0.009567 s: finsupp.distrib._proof_1 0.001054 s: finsupp.distrib 0.000816 s: finsupp.distrib.equations._eqn_1 0.000684 s: lie_subalgebra_of_subalgebra._proof_1 0.001091 s: lie_subalgebra_of_subalgebra._proof_2 0.000917 s: lie_subalgebra_of_subalgebra._proof_3 0.019845 s: lie_subalgebra_of_subalgebra._proof_4 0.018621 s: lie_subalgebra_of_subalgebra 0.056378 s: submodule.is_principal.mem_iff_generator_dvd 0.041137 s: generator_map_dvd_of_mem 0.000754 s: filter.rcomap._proof_1 0.004639 s: filter.rcomap._match_1 0.000307 s: filter.rcomap._proof_2 0.007422 s: filter.rcomap._match_2 0.001342 s: filter.rcomap._match_3 0.000448 s: filter.rcomap._proof_3 0.000668 s: filter.rcomap 0.000486 s: filter.rcomap.equations._eqn_1 0.000147 s: has_le.le.is_preorder 0.006239 s: forall_open_iff_discrete 0.000799 s: subgroup.has_top.equations._eqn_1 0.003708 s: finset.sum_range 0.001912 s: polynomial.coe_aeval_eq_eval 0.070030 s: bernstein_polynomial.sum 0.047348 s: bernstein.probability 0.000215 s: int.div._sunfold 0.079658 s: differentiable.rpow 0.000780 s: category_theory.eval_equiv.equations._eqn_1 0.010149 s: category_theory.limits.biprod.mono_lift_of_mono_left 0.000475 s: option.get._main.equations._eqn_2 0.000740 s: category_theory.is_equivalence.epi_map 0.002456 s: category_theory.is_equivalence.epi_map.equations._eqn_1 0.000080 s: pgame.impartial.cases_on 0.001524 s: continuous_map.comp_right_alg_hom._proof_6 0.112327 s: convex_cone.comap.equations._eqn_1 0.002901 s: category_theory.induced_functor_map 0.000123 s: decidable_eq_of_decidable_le._main._proof_1 0.000129 s: decidable_eq_of_decidable_le._main._proof_2 0.000712 s: decidable_eq_of_decidable_le._main.equations._eqn_1 0.000183 s: environment.projection_info 0.000029 s: environment.projection_info.is_class 0.024367 s: parser.prog.mmap 0.007357 s: parser.prog.mmap.equations._eqn_1 0.000326 s: add_subgroup.to_ordered_add_comm_group._proof_1 0.000175 s: parser.err_static.and_then_of_unfailing 0.000232 s: parser.err_static.and_then_of_unfailing.equations._eqn_1 0.000928 s: mv_polynomial.join₁.equations._eqn_1 0.000079 s: AddCommGroup.inhabited 0.000063 s: AddCommGroup.inhabited.equations._eqn_1 0.000754 s: category_theory.prod.swap_is_equivalence 0.002199 s: parser.map_const_eq_done 0.001902 s: algebra.finite_type.equiv 0.000581 s: bilin_form.is_skew_adjoint 0.000251 s: list.lex.is_trichotomous._match_1.equations._eqn_1 0.000109 s: local_equiv.has_coe_to_fun.equations._eqn_1 0.000352 s: turing.TM1to0.Λ'.inhabited.equations._eqn_1 0.001159 s: category_theory.over.inhabited 0.010459 s: category_theory.subobject.factors_left_of_factors_add 0.002165 s: category_theory.subobject.factor_thru_add_sub_factor_thru_right 0.000135 s: is_symm_op.symm_op 0.038950 s: solvable_by_rad.induction 0.004719 s: polynomial.leading_coeff_comp 0.523311 s: solvable_by_rad.is_integral 0.002166 s: with_bot.densely_ordered._match_2 0.008085 s: with_bot.densely_ordered._match_1 0.056176 s: complex.div_im 0.001014 s: rbnode.depth._main.equations._eqn_3 0.000333 s: rbnode.depth.equations._eqn_3 0.010686 s: flow.omega_limit_image_subset 0.000719 s: equiv.perm.r.decidable_rel 0.000966 s: measure_theory.simple_func.exists_forall_le 0.000532 s: set.union_Union 0.000061 s: finmap.inhabited 0.000118 s: finmap.inhabited.equations._eqn_1 0.015162 s: locally_constant.add_comm_group.equations._eqn_1 0.222008 s: finite_dimensional.is_R_or_C_to_real.equations._eqn_1 0.031849 s: category_theory.with_initial.lift.equations._eqn_1 0.000061 s: ADE_inequality.E7 0.000071 s: ADE_inequality.E7.equations._eqn_1 0.000051 s: fin2.fz.inj 0.000078 s: fin2.fz.inj_eq 0.000912 s: turing.to_partrec.code.eval._main.equations._eqn_6 0.004897 s: isometric.coe_to_homeomorph_symm 0.000740 s: isometric.coe_to_homeomorph 0.014573 s: affine_map.continuous_linear_iff 0.091153 s: affine_map.continuous_of_finite_dimensional 0.063793 s: category_theory.limits.limit.post_post 0.000714 s: has_seq.mk.sizeof_spec 0.006512 s: ideal.radical_mono 0.033819 s: ideal.radical_inf 0.010260 s: ideal.radical_mul 0.007019 s: measure_theory.integral_fn_integral_sub 0.002432 s: occurrences.contains._main.equations._eqn_3 0.000120 s: occurrences.contains.equations._eqn_3 0.001319 s: galois_insertion.sizeof 0.000199 s: galois_insertion.has_sizeof_inst 0.000587 s: turing.TM2.stmt.ibelow 0.002963 s: turing.TM2.stmt.binduction_on 0.000364 s: has_dist_metric_quot.equations._eqn_1 0.001156 s: nhds_left_sup_nhds_right 0.001205 s: continuous_at_iff_continuous_left_right 0.010397 s: continuous_at_right_of_mono_incr_on_of_exists_between 0.004727 s: continuous_at_right_of_mono_incr_on_of_closure_image_mem_nhds_within 0.039470 s: continuous_at_left_of_mono_incr_on_of_closure_image_mem_nhds_within 0.009239 s: continuous_at_of_mono_incr_on_of_closure_image_mem_nhds 0.001095 s: fintype.choose_x._proof_2 0.000234 s: fintype.choose_x 0.000320 s: fintype.choose_x.equations._eqn_1 0.000063 s: category_theory.limits.wide_pushout_shape.hom.id.inj 0.001554 s: pfunctor.approx.cofix_a.subsingleton.equations._eqn_1 0.000415 s: int.coe_succ_pos 0.000903 s: is_closed_map.of_nonempty 0.000681 s: mul_equiv.bijective 0.000214 s: array.pop_back_idx 0.000286 s: array.pop_back._match_1 0.000088 s: array.pop_back 0.000371 s: buffer.pop_back._main 0.000164 s: category_theory.presieve.equations._eqn_1 0.004019 s: AddCommGroup.adj._proof_2 0.001021 s: galois_insertion.l_sup_u 0.077961 s: submonoid.map_sup_comap_of_surjective 0.033012 s: is_extr_filter.filter_inf 0.000221 s: num.lor._main.equations._eqn_2 0.000077 s: num.lor.equations._eqn_2 0.177669 s: linear_map.to_continuous_linear_map₁._proof_1 0.155912 s: linear_map.to_continuous_linear_map₁ 0.021340 s: linear_map.has_deriv_at_filter 0.004510 s: linear_map.has_deriv_within_at 0.004752 s: linear_map.deriv_within 0.006587 s: pi.no_zero_smul_divisors 0.000069 s: plift.inhabited 0.001811 s: linear_ordered_add_comm_group.decidable_eq._default 0.002619 s: add_aut.mul_def 0.000898 s: AddCommGroup.colimits.colimit_setoid.equations._eqn_1 0.003018 s: dist_norm_norm_le 0.000373 s: znum.mod._main.equations._eqn_2 0.000067 s: znum.mod.equations._eqn_2 0.132696 s: orthogonal_projection.equations._eqn_1 0.000449 s: int.le_sub_left_of_add_le 0.000293 s: tactic.ring2.horner_expr.add_aux._match_2.equations._eqn_3 0.039672 s: linear_equiv_of_is_basis.equations._eqn_1 0.125011 s: linear_equiv_of_is_basis_comp 0.079056 s: linear_equiv_of_is_basis_refl 0.014797 s: linear_equiv_of_is_basis_trans_symm 0.000208 s: set.accumulate_def 0.011316 s: add_submonoid.to_submonoid'_closure 0.010176 s: asymptotics.is_O.smul 0.004051 s: category_theory.limits.pullback_cone.mono_of_is_limit_mk_id_id 0.000157 s: category_theory.limits.pullback_cone.is_limit_mk_id_id._proof_1 0.000104 s: category_theory.limits.pullback_cone.is_limit_mk_id_id._proof_2 0.000709 s: category_theory.limits.pullback_cone.is_limit_mk_id_id._proof_3 0.002004 s: category_theory.limits.pullback_cone.is_limit_mk_id_id._proof_4 0.001610 s: category_theory.limits.pullback_cone.is_limit_mk_id_id._proof_5 0.002141 s: category_theory.limits.pullback_cone.is_limit_mk_id_id 0.007509 s: category_theory.preserves_mono 0.005273 s: category_theory.preserves_mono.equations._eqn_1 0.000036 s: CpltSepUniformSpace.has_sizeof_inst 0.000380 s: nonempty.exists 0.004246 s: matrix.mul_mul_right 0.000347 s: computable.sum_inl 0.004060 s: partrec.sum_cases_left 0.005380 s: partrec.sum_cases 0.000230 s: triv_sq_zero_ext.inr.equations._eqn_1 0.000075 s: list.decidable_infix 0.000343 s: list.decidable_infix.equations._eqn_1 0.000105 s: linarith.comp_source.below 0.001036 s: linarith.comp_source.brec_on 0.002085 s: linarith.comp_source.to_string._main 0.000759 s: equiv_functor.map_equiv_symm_apply 0.000084 s: nat.two_step_induction 0.000184 s: nat.two_step_induction.equations._eqn_3 0.041286 s: times_cont_diff_on.csinh 0.008317 s: category_theory.limits.colimit.w_assoc 0.000425 s: pos_num.one_bits._main.equations._eqn_2 0.000214 s: dense_embedding.inj 0.000250 s: dense_embedding.to_embedding 0.000161 s: embedding_of_rat 0.043258 s: polynomial.pow_add_expansion._main._proof_3 0.017740 s: polynomial.pow_add_expansion._main.equations._eqn_3 0.001473 s: typevec.split_fun._main.equations._eqn_2 0.000503 s: typevec.split_fun.equations._eqn_2 0.122826 s: polynomial.integral_domain.equations._eqn_1 0.044825 s: category_theory.extend_fan_is_limit._proof_2 0.013770 s: category_theory.extend_fan_is_limit 0.000153 s: cfilter.to_realizer._proof_1 0.000127 s: cfilter.to_realizer 0.000189 s: cfilter.to_realizer.equations._eqn_1 0.001676 s: typevec.append1._sunfold 0.001195 s: category_theory.limits.reflects_colimit.rec_on 0.000353 s: psigma.decidable_eq._match_2._proof_1 0.003898 s: free_group.red.decidable_rel._main.equations._eqn_4 0.000864 s: free_group.red.decidable_rel.equations._eqn_4 0.000726 s: finsum_mem_zero 0.000426 s: finsum_mem_congr 0.001123 s: finsum_mem_of_eq_on_zero 0.005210 s: diffeomorph.symm.equations._eqn_1 0.011109 s: mul_aut.group.equations._eqn_1 0.000336 s: npow_rec._main.equations._eqn_1 0.000150 s: npow_rec.equations._eqn_1 0.004642 s: fract_add_floor 0.000175 s: generalized_continued_fraction.int_fract_pair.mk.inj_arrow 0.104971 s: generalized_continued_fraction.int_fract_pair.exists_succ_nth_stream_of_fr_zero 0.000258 s: function.embedding.has_coe_to_fun.equations._eqn_1 0.018780 s: padic_val_nat_one 0.012181 s: nat.zero_of_test_bit_eq_ff 0.005542 s: nat.eq_of_test_bit_eq 0.380434 s: nat.lt_of_test_bit 0.000154 s: category_theory.shrink_homs.from_to 0.000385 s: except_t.call_cc.equations._eqn_1 0.024719 s: except_t.is_lawful_monad_cont._proof_4 0.000158 s: with_zero.semiring._proof_12 0.000288 s: nat.card.equations._eqn_1 0.005848 s: quadratic_form.polar_neg_right 0.002433 s: list.continuous_cons 0.031854 s: add_subgroup.comap_top 0.000348 s: slim_check.add_shrinks._main.equations._eqn_1 0.000081 s: slim_check.add_shrinks.equations._eqn_1 0.007331 s: polynomial.C_mul_comp 0.002656 s: polynomial.nat_cast_mul_comp 0.004500 s: mv_polynomial.eval_eq 0.000100 s: free_ring.comm_ring._proof_9 0.000167 s: lists.to_list._main 0.000023 s: lists.to_list 0.000708 s: lists.to_list._main.equations._eqn_1 0.000107 s: lists.to_list.equations._eqn_1 0.000230 s: lists.of'.equations._eqn_1 0.003968 s: lists.of_to_list 0.000103 s: tree.nil.inj 0.000092 s: tree.nil.inj_eq 0.002376 s: ctop.realizer.id._match_5.equations._eqn_1 0.003677 s: bool.to_bool_or 0.000138 s: tactic.dsimp_config.md 0.000059 s: tactic.rewrite_search.using_conv.app_addr.rw 0.001227 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.cases_on 0.000209 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.cases_on 0.000180 s: tactic.rewrite_search.using_conv.app_addr.cases_on 0.029744 s: continuous_linear_map.fpower_series._sunfold 0.000043 s: tactic.rewrite_cfg.occs._default 0.000321 s: category_theory.ess_surj.rec_on 0.043222 s: algebra.finite_presentation.self 0.000331 s: turing.partrec_to_TM2.Λ'.succ.inj 0.000059 s: turing.partrec_to_TM2.Λ'.succ.inj_arrow 0.012966 s: library_note._794606799 0.104543 s: times_cont_diff.dist 0.442268 s: times_cont_diff.euclidean_dist 0.003717 s: multiset.antidiagonal_map_snd 0.000201 s: classical.epsilon_singleton 0.003984 s: category_theory.equivalence.cancel_counit_inv_right_assoc' 0.000158 s: category_theory.zigzag.setoid.equations._eqn_1 0.158144 s: measure_theory.set_integral_mono_ae 0.174711 s: interval_integral.integral_mono_ae 0.000400 s: quiver.wide_subquiver.has_bot 0.000291 s: quiver.wide_subquiver.has_bot.equations._eqn_1 0.142270 s: matrix.diagonal_comp_std_basis 0.000342 s: ordnode.span._match_2.equations._eqn_1 0.000393 s: continuous.connected_components_map._proof_1 0.000496 s: continuous.connected_components_map 0.000610 s: continuous.connected_components_map_continuous 0.000286 s: add_zero_class.sizeof 0.017168 s: add_zero_class.mk.sizeof_spec 0.099183 s: hyperreal.coe_max 0.001190 s: fixed_points.next_fixed 0.019935 s: fixed_points.sup_le_f_of_fixed_points 0.000487 s: fixed_points.complete_lattice._proof_1 0.000514 s: fixed_points.complete_lattice._proof_2 0.004344 s: fixed_points.complete_lattice._proof_4 0.004601 s: fixed_points.complete_lattice._proof_5 0.004420 s: fixed_points.complete_lattice._proof_6 0.014885 s: fixed_points.complete_lattice._proof_7 0.013380 s: fixed_points.f_le_inf_of_fixed_points 0.004962 s: fixed_points.complete_lattice._proof_8 0.005139 s: fixed_points.complete_lattice._proof_9 0.016943 s: fixed_points.complete_lattice._proof_10 0.000152 s: fixed_points.complete_lattice._proof_11 0.027032 s: fixed_points.complete_lattice._match_1 0.011540 s: fixed_points.complete_lattice._proof_12 0.025932 s: fixed_points.complete_lattice._match_2 0.013559 s: fixed_points.complete_lattice._proof_14 0.007340 s: fixed_points.Sup_le_f_of_fixed_points 0.000881 s: fixed_points.complete_lattice._match_3 0.001025 s: fixed_points.complete_lattice._proof_15 0.004445 s: fixed_points.complete_lattice._proof_16 0.007471 s: fixed_points.complete_lattice._match_4 0.019714 s: fixed_points.complete_lattice._proof_17 0.052433 s: fixed_points.complete_lattice 0.057209 s: fixed_points.complete_lattice.equations._eqn_1 0.012186 s: category_theory.equivalence.to_order_iso.equations._eqn_1 0.000404 s: applicative.rec_on 0.002340 s: ordnode.insert_max._main.equations._eqn_2 0.000264 s: ordnode.insert_max.equations._eqn_2 0.000032 s: Fintype.skeleton.mk 0.010096 s: add_le_mul_of_left_le_right 0.008080 s: add_le_mul_of_right_le_left 0.004352 s: add_le_mul 0.000037 s: tactic.decl_reducibility.semireducible.inj_arrow 0.000562 s: measure_theory.measure.finite_spanning_sets_in.mono.equations._eqn_1 0.000186 s: fin_enum.punit._proof_1 0.000118 s: fin_enum.punit 0.000070 s: fin_enum.punit.equations._eqn_1 0.000371 s: typevec.cases_nil._proof_1 0.000074 s: typevec.cases_nil 0.006527 s: category_theory.groupoid_of_elements._proof_1 0.003291 s: polynomial.trailing_degree_zero 0.013216 s: polynomial.le_trailing_degree_monomial 0.001547 s: polynomial.le_trailing_degree_C_mul_X_pow 0.002176 s: nat.coprime.gcd_mul_right_cancel 0.005527 s: pi.cancel_monoid._proof_2 0.002085 s: pi.cancel_monoid._proof_3 0.004720 s: pi.cancel_monoid._proof_5 0.004863 s: pi.cancel_monoid._proof_6 0.005031 s: pi.cancel_monoid._proof_7 0.001760 s: pi.cancel_monoid 0.001631 s: pi.cancel_monoid.equations._eqn_1 0.000208 s: lucas_lehmer.fact_pnat_pos 0.000151 s: lucas_lehmer.X.fintype 0.015512 s: add_monoid_hom.semimodule._proof_4 0.000356 s: continuous_map_ring._proof_1 0.000297 s: continuous_map_ring._proof_3 0.002031 s: continuous_map_ring._proof_4 0.000410 s: continuous_map_ring._proof_5 0.000995 s: continuous_map_ring._proof_6 0.000910 s: continuous_map_ring._proof_7 0.000253 s: continuous_map_ring._proof_9 0.000257 s: continuous_map_ring._proof_10 0.000504 s: continuous_map_ring._proof_12 0.000428 s: continuous_map_ring._proof_13 0.000311 s: continuous_map_ring._proof_14 0.000223 s: continuous_map_ring._proof_15 0.030954 s: continuous_map_ring 0.000760 s: plift.monad.equations._eqn_1 0.005837 s: free_add_magma.repr._main 0.000097 s: free_add_magma.repr 0.003461 s: free_add_magma.has_repr 0.006156 s: nonempty_omega_limit_of_is_compact_absorbing 0.000646 s: nonempty_omega_limit 0.000316 s: con.sizeof 0.160031 s: power_series.inv_units_sub_mul_X 0.000492 s: writer_t.equiv._match_1 0.000281 s: writer_t.equiv._match_2 0.018232 s: writer_t.equiv._match_3 0.000285 s: writer_t.equiv._proof_1 0.002566 s: writer_t.equiv._match_4 0.000240 s: writer_t.equiv._proof_2 0.000367 s: writer_t.equiv 0.000526 s: writer_t.uliftable' 0.000197 s: continuous_of_rat 0.000538 s: homeomorph.comp_continuous_on_iff 0.006283 s: continuous_linear_equiv.comp_continuous_on_iff 0.005599 s: subfield.mem_inf 0.000042 s: expr_lens.dir.sizeof 0.000356 s: pfunctor.approx.s_corec._sunfold 0.008423 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_1 0.004740 s: add_submonoid.localization_map.of_add_equiv_of_dom._proof_2 0.000262 s: monad_io_net_system.send 0.000077 s: io.net.send 0.000052 s: io.net.send.equations._eqn_1 0.001140 s: nat.pred_inj 0.000027 s: pi_subtype.can_lift'._proof_1 0.000115 s: pi_subtype.can_lift' 0.000424 s: pi_subtype.can_lift'.equations._eqn_1 0.001138 s: fintype.of_surjective._match_1.equations._eqn_1 0.001535 s: metric_space_of_normed_group_of_add_torsor._proof_2 0.020896 s: universal_enveloping_algebra.rel.rec_on 0.005449 s: continuous_linear_map.mem_range 0.001214 s: continuous_linear_map.mem_range_self 0.001749 s: continuous_linear_map.has_deriv_at 0.000400 s: mul_semiring_action_hom.id._proof_1 0.001680 s: filter.germ.coe_sub 0.001549 s: is_CHSH_tuple.cases_on 0.000760 s: is_CHSH_tuple.no_confusion_type 0.140977 s: linear_equiv.smul_of_ne_zero 0.019735 s: ring_equiv.to_monoid_hom_refl 0.010599 s: setoid.quotient_quotient_equiv_quotient._proof_4 0.001096 s: omega.nat.preform.repr._main 0.000881 s: omega.nat.preform.repr._main.equations._eqn_4 0.000742 s: category_theory.comonad_hom.inhabited 0.001383 s: nonneg_ring.sub._default 0.001292 s: nonneg_ring.sub._default.equations._eqn_1 0.006680 s: finsupp.add_comm_group.equations._eqn_1 0.001195 s: ideal.nontrivial 0.212379 s: ideal.prod_eq_bot 0.000257 s: right_commutative.equations._eqn_1 0.000204 s: is_left_id.rec_on 0.032400 s: equiv.mul_left'._proof_1 0.000414 s: equiv.mul_left' 0.000202 s: homeomorph.mul_left'._proof_1 0.000431 s: linear_equiv.simps.symm_apply 0.000447 s: linear_equiv.simps.symm_apply.equations._eqn_1 0.010389 s: inf_Sup_eq 0.004949 s: Sup_inf_eq 0.001050 s: supr_inf_eq 0.000304 s: composition.sizeof 0.000109 s: invertible.has_sizeof_inst 0.002083 s: mvpfunctor.W_path.child.sizeof_spec 0.002201 s: metric.ball_subset_ball 0.002574 s: parser.remaining_ne_fail 0.000278 s: parser.err_static.remaining 0.002879 s: times_cont_mdiff_map.mk.inj 0.003028 s: times_cont_mdiff_map.mk.inj_eq 0.000261 s: category_theory.monad.simps.η 0.002258 s: measure_theory.induced_outer_measure_preimage 0.015089 s: measure_theory.outer_measure.of_content_preimage 0.000109 s: ordered_comm_semiring.lt._default.equations._eqn_1 0.000364 s: ae_measurable.const_add 0.000154 s: pSet.equiv.equations._eqn_1 0.002480 s: wseq.lift_rel_nil 0.005451 s: lie_add_group.dcases_on 0.000384 s: set.nonempty.mul 0.025132 s: set.is_wf.min_mul 0.001103 s: semiquot.mem_map 0.000508 s: semiquot.bind_def 0.007616 s: semiquot.mem_bind 0.001047 s: semiquot.is_lawful_monad._match_1 0.000799 s: semiquot.is_lawful_monad._match_2 0.183668 s: semiquot.is_lawful_monad 0.186619 s: semiquot.is_lawful_monad.equations._eqn_1 0.016895 s: prod.comm_group.equations._eqn_1 0.000423 s: category_theory.has_split_coequalizer.cases_on 0.003128 s: category_theory.limits.prod.map_swap 0.002606 s: category_theory.limits.prod.map_swap_assoc 0.001196 s: ring_equiv.has_coe_to_ring_hom.equations._eqn_1 0.000477 s: slim_check.minimize_aux._proof_1 0.000197 s: slim_check.slim_check_cfg.trace_shrink_candidates 0.000277 s: subtype.has_repr 0.001315 s: lazy_list.mfirst._main 0.000182 s: lazy_list.mfirst 0.000065 s: slim_check.is_failure 0.001384 s: slim_check.minimize_aux._match_1 0.001023 s: slim_check.minimize_aux._match_2 0.000086 s: slim_check.slim_check_cfg.trace_shrink 0.002231 s: slim_check.minimize_aux._match_3 0.001353 s: slim_check.minimize_aux 0.001097 s: slim_check.minimize_aux.equations._eqn_1 0.000459 s: directed_system.cases_on 0.001131 s: add_con.neg 0.004008 s: add_con.has_neg._proof_1 0.000653 s: add_con.has_neg 0.001463 s: add_con.add_group._proof_11 0.449269 s: polynomial.gal.gal_action_hom._proof_3 0.000250 s: real.measurable_space.equations._eqn_1 0.000548 s: Group.forget_preserves_limits._proof_1 0.004851 s: Mon.forget_preserves_limits 0.058057 s: Group.forget_preserves_limits 0.012653 s: Group.forget_preserves_limits.equations._eqn_1 0.017162 s: quandle.dihedral.quandle._proof_1 0.000084 s: quandle.dihedral.quandle._proof_3 0.034487 s: quandle.dihedral.quandle._proof_4 0.000739 s: quandle.dihedral.quandle 0.000206 s: complex.cau_seq_abs.equations._eqn_1 0.000331 s: ordnode.nth._match_1 0.006655 s: ordnode.nth._main 0.000056 s: ordnode.nth 0.000141 s: ordnode.nth._sunfold 0.000113 s: except_t.pass_aux 0.000273 s: except_t.pass_aux.equations._eqn_2 0.004105 s: continuous_linear_map.coe_comp 0.005119 s: continuous_linear_map.snd_comp_prod 0.000135 s: topological_vector_bundle.trivial_bundle_trivialization._proof_6 0.007945 s: quadratic_form.associated_right_inverse 0.000124 s: multiset.functor 0.000352 s: multiset.monad 0.000316 s: multiset.bind_def 0.000808 s: padic_int.to_zmod_pow.equations._eqn_1 0.000209 s: real.star_ordered_ring._proof_1 0.001642 s: matrix.block_diagonal_apply 0.009688 s: matrix.block_diagonal_smul 0.002988 s: measure_theory.lintegral_mul_const_le 0.005232 s: function.injective.div_inv_monoid.equations._eqn_1 0.000323 s: list.decidable_chain._proof_1 0.000568 s: vector3.cons_elim.equations._eqn_1 0.009725 s: metric.ball_disjoint 0.089893 s: metric.ball_disjoint_same 0.000261 s: is_left_id.drec 0.000392 s: alt_bilin_form.is_alt 0.000313 s: alt_bilin_form.self_eq_zero 0.000532 s: ordnode.sized._main.equations._eqn_1 0.000235 s: ordnode.sized.equations._eqn_1 0.000141 s: regular_expression.sizeof 0.000042 s: regular_expression.has_sizeof_inst 0.000405 s: regular_expression.plus.sizeof_spec 0.078003 s: has_fderiv_within_at.smul_const 0.025857 s: differentiable_within_at.smul_const 0.002953 s: differentiable_on.smul_const 0.000049 s: multiplicative.equations._eqn_1 0.001063 s: multiset.ndinsert.equations._eqn_1 0.004105 s: subring.pow_mem 0.001987 s: affine_equiv.coe_fn_injective 0.002119 s: affine_equiv.coe_fn_inj 0.000188 s: prod.has_lt 0.000059 s: pos.line 0.000055 s: pos.column 0.000069 s: pos.has_lt 0.000050 s: pos.has_lt.equations._eqn_1 0.000172 s: ulower.up 0.000880 s: ulower.down_up 0.000212 s: Class.has_sep.equations._eqn_1 0.000326 s: polynomial.iterated_deriv_zero_right 0.019450 s: polynomial.coeff_iterated_deriv_as_prod_range 0.008287 s: category_theory.limits.image_map.map_ι' 0.016021 s: continuous_linear_equiv.units_equiv_aut_apply_symm 0.000269 s: num.lor._main.equations._eqn_3 0.000051 s: num.lor.equations._eqn_3 0.000469 s: int.shiftl._main.equations._eqn_3 0.000068 s: int.shiftl.equations._eqn_3 0.000129 s: fp.float.neg._main.equations._eqn_1 0.004978 s: pseudo_metric_space.mk.sizeof_spec 0.000110 s: fin2.insert_perm.equations._eqn_4 0.000149 s: right_coset.equations._eqn_1 0.000053 s: generalized_continued_fraction.terminates 0.001322 s: seq.map._main._proof_1 0.000615 s: seq.map._main.equations._eqn_1 0.000376 s: seq.map.equations._eqn_1 0.005031 s: generalized_continued_fraction.of_terminated_at_iff_int_fract_pair_seq1_terminated_at 0.001660 s: generalized_continued_fraction.int_fract_pair.nth_seq1_eq_succ_nth_stream 0.001138 s: generalized_continued_fraction.of_terminated_at_n_iff_succ_nth_int_fract_pair_stream_eq_none 0.000416 s: generalized_continued_fraction.comp_exact_value 0.000579 s: generalized_continued_fraction.comp_exact_value.equations._eqn_1 0.002413 s: generalized_continued_fraction.nth_of_eq_some_of_nth_int_fract_pair_stream_fr_ne_zero 0.608859 s: generalized_continued_fraction.comp_exact_value_correctness_of_stream_eq_some_aux_comp 0.670672 s: generalized_continued_fraction.comp_exact_value_correctness_of_stream_eq_some 0.107541 s: generalized_continued_fraction.of_correctness_of_nth_stream_eq_none 0.000917 s: generalized_continued_fraction.of_correctness_of_terminated_at 0.000447 s: generalized_continued_fraction.of_correctness_of_terminates 0.010044 s: generalized_continued_fraction.exists_rat_eq_of_terminates 0.044910 s: category_theory.functor.map_cocone_op_hom_hom 0.049601 s: matrix.to_bilin'_apply 0.022057 s: CommRing.colimits.relation.dcases_on 0.004091 s: nat.arithmetic_function.sigma._proof_1 0.000228 s: nat.arithmetic_function.sigma 0.000471 s: nat.arithmetic_function.sigma_apply 0.000740 s: nat.arithmetic_function.sigma_one_apply 0.007248 s: rat.dist_cast 0.006489 s: add_order_of_dvd_card_univ 0.000288 s: mvpfunctor.const.get_mk 0.000678 s: mvqpf.const.mvqpf._proof_1 0.001701 s: mvqpf.const.mvqpf._proof_2 0.000488 s: mvqpf.const.mvqpf 0.001485 s: invertible.map.equations._eqn_1 0.000978 s: discrete_topology_iff_nhds 0.016828 s: order.partial_iso.inv_of_ideal._match_1.equations._eqn_1 0.000970 s: ordnode.bounded._main.equations._eqn_1 0.000160 s: ordnode.bounded.equations._eqn_1 0.000230 s: subring.to_subfield._proof_1 0.000261 s: subring.to_subfield._proof_2 0.000135 s: subring.to_subfield._proof_3 0.000236 s: subring.to_subfield._proof_4 0.000180 s: subring.to_subfield._proof_5 0.001709 s: subring.to_subfield 0.091831 s: nnreal.div_add_div_same 0.000121 s: to_bool_tt 0.016203 s: turing.TM1to1.exists_enc_dec 0.000915 s: monoid_hom.map_exists_left_inv 0.278075 s: euclidean_geometry.orthogonal_projection.equations._eqn_1 0.000274 s: set.right_inv_on.eq 0.001280 s: filter.germ.coe_tendsto 0.000514 s: filter.tendsto.germ_tendsto 0.000537 s: filter.germ.comp_tendsto 0.028679 s: filter.germ.comp_tendsto'_coe 0.000457 s: category_theory.is_filtered.drec 0.025977 s: finset.exists_lt_of_prod_lt' 0.001463 s: category_theory.limits.reflects_colimits_subsingleton 0.001253 s: category_theory.limits.reflects_colimits_subsingleton.equations._eqn_1 0.000575 s: equiv.inv_symm 0.002389 s: probability_theory.indep_sets_singleton_iff 0.002404 s: multiset.powerset_zero 0.002162 s: bounded_continuous_function.mk_of_bound._proof_1 0.001029 s: bounded_continuous_function.mk_of_bound 0.000822 s: bounded_continuous_function.mk_of_bound.equations._eqn_1 0.003101 s: _private.1214677689.equivalence_inverse.equations._eqn_1 0.001314 s: tactic_doc._1997579323 0.007871 s: diffeomorph.trans._proof_1 0.008028 s: diffeomorph.trans._proof_2 0.009999 s: diffeomorph.trans 0.018967 s: diffeomorph.symm_trans' 0.000435 s: sequential_space.drec 0.003809 s: semilattice_sup.rec_on 0.003513 s: linear_equiv.to_continuous_linear_equiv_of_bounds._proof_1 0.005542 s: linear_equiv.to_continuous_linear_equiv_of_bounds._proof_2 0.005737 s: linear_equiv.to_continuous_linear_equiv_of_bounds 0.000200 s: tactic.interactive.case_tag.hyps.sizeof_spec 0.001338 s: list.find._main.equations._eqn_2 0.000224 s: list.find.equations._eqn_2 0.000230 s: with_zero.has_inv.equations._eqn_1 0.002964 s: category_theory.limits.preserves_product.iso.equations._eqn_1 0.015593 s: finset.is_wf_sup 0.005529 s: hahn_series.summable_family.of_finsupp._proof_1 0.001821 s: hahn_series.summable_family.of_finsupp 0.001472 s: hahn_series.summable_family.co_support_of_finsupp 0.010179 s: set.image_mul_left_Icc' 0.002521 s: lie_hom.sizeof 0.000327 s: lie_hom.has_sizeof_inst 0.000536 s: directed_of_inf 0.000688 s: slim_check.prod.sampleable.equations._eqn_1 0.000064 s: rat.measurable_space 0.000598 s: lie_algebra.center 0.014260 s: lie_ideal.is_lie_abelian_of_trivial 0.013917 s: lie_algebra.center.is_lie_abelian 0.007083 s: lie_algebra.center_eq_bot_of_semisimple 0.002686 s: fin.cast_succ_pos 0.004030 s: fin.succ_above_pos 0.000547 s: turing.partrec_to_TM2.tr._main.equations._eqn_3 0.000236 s: turing.partrec_to_TM2.tr.equations._eqn_3 0.000098 s: turing.partrec_to_TM2.K'.elim.equations._eqn_4 0.002016 s: turing.partrec_to_TM2.K'.elim_update_stack 0.012182 s: turing.partrec_to_TM2.copy_ok 0.000205 s: ordnode.map._sunfold 0.001567 s: ordinal.zero_dvd 0.001222 s: ite_eq_ff_distrib 0.002511 s: subring.to_subfield.equations._eqn_1 0.001605 s: category_theory.pretopology.trivial.equations._eqn_1 0.004827 s: free_abelian_group.pempty_unique._proof_1 0.000137 s: free_abelian_group.pempty_unique 0.000231 s: category_theory.mono_over.map_top._proof_1 0.007234 s: category_theory.mono_over.map_top._proof_2 0.001199 s: category_theory.mono_over.top_arrow 0.014500 s: category_theory.mono_over.map_top._proof_3 0.007675 s: category_theory.mono_over.map_top 0.000593 s: category_theory.quotient.lift._proof_2 0.033926 s: category_theory.quotient.lift._proof_3 0.013389 s: category_theory.quotient.lift 0.009258 s: category_theory.quotient.lift.is_lift._proof_1 0.003297 s: category_theory.quotient.lift.is_lift 0.002855 s: category_theory.quotient.lift.is_lift.equations._eqn_1 0.000081 s: znum.has_dvd.dvd.decidable_rel 0.000383 s: znum.has_dvd.dvd.decidable_rel._main.equations._eqn_1 0.000127 s: znum.has_dvd.dvd.decidable_rel.equations._eqn_1 0.000118 s: CommMon.of.equations._eqn_1 0.000175 s: multiset.erase_dup_subset 0.000232 s: multiset.erase_dup_subset' 0.000170 s: multiset.subset_erase_dup' 0.002607 s: finset.image_subset_image 0.002198 s: fin_sum_fin_equiv.equations._eqn_1 0.015981 s: fin_sum_fin_equiv_symm_apply_right 0.109812 s: interval_integral.smul_integral_comp_mul_add 0.182112 s: interval_integral.mul_integral_comp_mul_add 0.000269 s: format.color.to_string._main.equations._eqn_6 0.192770 s: continuous_linear_map.measurable_apply₂ 0.171064 s: mv_polynomial.quotient_equiv_quotient_mv_polynomial.equations._eqn_1 0.000380 s: boolean_ring.has_sdiff.equations._eqn_1 0.021009 s: model_with_corners.boundaryless.cases_on 0.000151 s: linear_recurrence.cases_on 0.000114 s: linear_recurrence.no_confusion_type 0.000376 s: linear_recurrence.no_confusion 0.000205 s: linear_recurrence.mk.inj 0.000256 s: linear_recurrence.mk.inj_arrow 0.000088 s: option.maybe 0.000102 s: 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category_theory.monoidal_category.tensor_unit_right._proof_2 0.000904 s: category_theory.monoidal_category.tensor_unit_right 0.000766 s: category_theory.tensoring_right_monoidal._proof_2 0.000814 s: category_theory.monoidal_category.right_unitor_nat_iso._proof_1 0.003842 s: category_theory.monoidal_category.right_unitor_nat_iso 0.095358 s: category_theory.tensoring_right_monoidal._proof_5 0.048238 s: category_theory.tensoring_right_monoidal._proof_6 0.039127 s: category_theory.tensoring_right_monoidal._proof_7 0.262970 s: category_theory.tensoring_right_monoidal._proof_8 0.446875 s: category_theory.tensoring_right_monoidal._proof_9 0.064187 s: category_theory.tensoring_right_monoidal 0.009624 s: category_theory.tensoring_right_monoidal_to_lax_monoidal_functor_ε 0.004556 s: complete_lattice.sizeof 0.000046 s: complete_lattice.has_sizeof_inst 0.000282 s: shelf.self_distrib 0.000141 s: rack.self_distrib 0.000625 s: rack.self_distrib_inv 0.001003 s: rack.opposite_rack._proof_1 0.002414 s: rack.opposite_rack._proof_2 0.000070 s: rack.inv_act_act_eq 0.002492 s: rack.opposite_rack._proof_3 0.001260 s: rack.opposite_rack 0.001128 s: rack.opposite_rack.equations._eqn_1 0.003304 s: category_theory.limits.cofork.is_colimit.hom_iso_apply_coe 0.001104 s: enat.coe_le_iff 0.009642 s: category_theory.adjunction.functoriality_unit_app_hom 0.000087 s: linear_ordered_comm_monoid_with_zero.lt._default.equations._eqn_1 0.005018 s: polynomial.tendsto_abv_aeval_at_top 0.000389 s: add_submonoid.monotone_map 0.004900 s: mvqpf.corec_roll 0.002517 s: smooth_map_ring._proof_10 0.000139 s: add_subgroup.has_sizeof_inst 0.002105 s: pi.cancel_comm_monoid._proof_1 0.005736 s: pi.cancel_comm_monoid._proof_2 0.001821 s: pi.cancel_comm_monoid._proof_3 0.001330 s: pi.cancel_comm_monoid._proof_4 0.005555 s: pi.cancel_comm_monoid._proof_5 0.007278 s: pi.cancel_comm_monoid._proof_6 0.005920 s: pi.cancel_comm_monoid._proof_7 0.002549 s: pi.cancel_comm_monoid 0.001848 s: 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0.001625 s: function.injective.domain._proof_15 0.000415 s: function.injective.domain._proof_16 0.000601 s: function.injective.domain._proof_17 0.015012 s: function.injective.domain 0.000441 s: equiv.domain._proof_1 0.000275 s: equiv.domain._proof_2 0.000862 s: equiv.domain._proof_3 0.000355 s: equiv.domain._proof_4 0.000387 s: equiv.domain._proof_5 0.005340 s: equiv.domain 0.000969 s: simple_graph.mem_edge_set 0.004715 s: sym2.mem_other_spec' 0.002067 s: simple_graph.incidence_other_prop 0.000142 s: simple_graph.incidence_set.equations._eqn_1 0.001657 s: simple_graph.mem_incidence_set 0.000408 s: simple_graph.mem_incidence_iff_neighbor 0.001911 s: sym2.congr_right 0.001039 s: simple_graph.incidence_other_neighbor_edge 0.003648 s: simple_graph.incidence_set_equiv_neighbor_set._match_1 0.001104 s: normed_field.mk.inj 0.000824 s: normed_field.mk.inj_arrow 0.000765 s: category_theory.iso.to_equiv_fun 0.001487 s: category_theory.limits.cone.mk.sizeof_spec 0.000652 s: subgroup.map_comap_le 0.001818 s: matrix.cons_transpose 0.008514 s: localization_map.cases_on 0.004627 s: localization_map.no_confusion_type 0.005668 s: localization_map.no_confusion 0.008668 s: localization_map.mk.inj 0.014108 s: localization_map.mk.inj_eq 0.008324 s: localization_map.ext 0.000883 s: localization_map.to_map_injective 0.000152 s: topological_space.separable_space.rec_on 0.001543 s: pi.alg_hom.apply_apply 0.000632 s: set.sub_mem_Icc_iff_right 0.000236 s: AddCommGroup.colimits.colimit_type.equations._eqn_1 0.010714 s: real.one_lt_rpow_iff 0.005611 s: continuous_add_subgroup.equations._eqn_1 0.000246 s: onote.sub_NF._main.equations._eqn_1 0.001721 s: comm_monoid_with_zero.rec_on 0.000067 s: nat.partrec.code.zero.inj_eq 0.005250 s: category_theory.arrow.w_mk_right_assoc 0.033776 s: continuous_linear_map.apply.equations._eqn_1 0.020434 s: nat.prime.pow_dvd_factorial_iff 0.003431 s: category_theory.limits.is_limit.lift_cone_morphism_hom 0.003572 s: mv_polynomial.comap_id_apply 0.002931 s: mv_polynomial.comap_eq_id_of_eq_id 0.001482 s: direct_sum.lie_algebra_of._proof_1 0.001592 s: direct_sum.lie_algebra_of._proof_2 0.048215 s: direct_sum.lie_algebra_of 0.053778 s: direct_sum.lie_algebra_of.equations._eqn_1 0.010302 s: comm_semiring.rec_on 0.000325 s: lists.induction_mut._match_1.equations._eqn_2 0.001148 s: is_add_group_hom.neg_ker_zero' 0.000866 s: is_add_group_hom.zero_ker_neg' 0.000385 s: is_add_group_hom.zero_iff_ker_neg' 0.001552 s: is_closed_map_add_right 0.002921 s: nat.primrec'.drec 0.003004 s: primrec.vector_nth 0.002533 s: primrec.list_of_fn 0.000816 s: primrec.vector_of_fn 0.003591 s: nat.primrec'.to_prim 0.000111 s: nat.primrec'.prim_iff 0.000434 s: vector.head_of_fn 0.001234 s: nat.primrec'.prim_iff₁ 0.000080 s: primrec.nat_sqrt 0.052464 s: universal_enveloping_algebra.lift._proof_1 0.007259 s: lie_hom.ext 0.140196 s: universal_enveloping_algebra.lift._proof_2 0.073323 s: universal_enveloping_algebra.lift 0.149945 s: has_fderiv_within_at.cpow 0.132917 s: 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pfun.preimage_univ 0.000329 s: open_dom_of_pcontinuous 0.018604 s: formal_multilinear_series.left_inv._main.equations._eqn_2 0.000063 s: io.error.sys.inj_arrow 0.000672 s: measure_theory.outer_measure.has_scalar.equations._eqn_1 0.001320 s: category_theory.lax_monoidal_functor.of_to_functor_obj 0.005523 s: measure_theory.mem_ℒp.const_smul 0.000977 s: add_units.ordered_add_comm_group._proof_5 0.000182 s: Semigroup.of.equations._eqn_1 0.000303 s: filter.germ.ordered_comm_group._proof_2 0.000142 s: filter.germ.ordered_comm_group._proof_3 0.000572 s: filter.germ.ordered_comm_group._proof_4 0.000811 s: filter.germ.ordered_comm_group._proof_7 0.000204 s: filter.germ.ordered_comm_group._proof_8 0.000159 s: filter.germ.ordered_comm_group._proof_10 0.000680 s: filter.germ.ordered_comm_group._proof_11 0.000482 s: filter.germ.ordered_comm_group._proof_12 0.005052 s: filter.germ.ordered_comm_group 0.005363 s: filter.germ.ordered_comm_group.equations._eqn_1 0.000522 s: except_t.catch._match_1.equations._eqn_1 0.000275 s: colex.has_lt.lt.is_trichotomous 0.000199 s: colex.has_lt.lt.is_strict_total_order 0.000939 s: pos_num.lxor._main.equations._eqn_4 0.000705 s: algebraic_geometry.Scheme.Spec._proof_1 0.006662 s: finset.infi_option_to_finset 0.000425 s: finset.set_bInter_option_to_finset 0.000991 s: category_theory.limits.image.eq_to_iso.equations._eqn_1 0.005720 s: category_theory.limits.image.eq_fac 0.001581 s: category_theory.limits.mono_factorisation_zero_m 0.002424 s: category_theory.limits.image.ι_zero 0.001672 s: category_theory.limits.image.ι_zero' 0.003503 s: category_theory.image_to_kernel_map_zero_left 0.000324 s: _private.2442953897.key_data_to_string 0.003673 s: add_action.comp_hom._proof_2 0.000555 s: add_action.comp_hom 0.001617 s: lie_ring_module.mk.inj 0.001395 s: lie_ring_module.mk.inj_arrow 0.005171 s: linear_ordered_comm_ring.sizeof 0.000070 s: linear_ordered_comm_ring.has_sizeof_inst 0.000083 s: has_pure.no_confusion_type 0.000335 s: has_pure.no_confusion 0.000184 s: has_pure.mk.inj 0.000113 s: has_pure.mk.inj_arrow 0.000623 s: tactic.itauto.proof.and_intro.inj 0.000264 s: tactic.itauto.proof.and_intro.inj_arrow 0.001750 s: uniform_space.completion.uniform_continuous_completion_separation_quotient_equiv_symm 0.000351 s: is_right_null.cases_on 0.000554 s: add_con.add_group._proof_7 0.004681 s: star_bit0 0.014547 s: hahn_series.single_zero_one 0.000075 s: with_top.inhabited 0.000110 s: with_top.inhabited.equations._eqn_1 0.000885 s: order.ideal_of_cofinals._proof_1 0.001332 s: order.ideal_of_cofinals._match_2 0.000410 s: order.ideal_of_cofinals._proof_2 0.000418 s: order.ideal_of_cofinals._match_3 0.000365 s: order.ideal_of_cofinals._proof_3 0.000541 s: order.ideal_of_cofinals 0.013768 s: order.partial_iso.inhabited._proof_1 0.008480 s: order.partial_iso.inhabited 0.001769 s: order.cofinal.above_mem 0.003423 s: order.sequence_of_cofinals.encode_mem 0.001656 s: order.cofinal_meets_ideal_of_cofinals 0.001267 s: order.iso_of_countable_dense._proof_1 0.000769 s: order.iso_of_countable_dense._proof_2 0.030775 s: order.iso_of_countable_dense._proof_3 0.032599 s: pgame.zero_lt_star 0.000195 s: pgame.star_first_wins 0.000204 s: compact_exhaustion.choice.equations._eqn_1 0.012280 s: neg_nsmul 0.045267 s: abs_nsmul 0.030130 s: abs_gsmul 0.050545 s: add_submonoid.mem_sup_left 0.008231 s: diffeomorph.refl 0.003260 s: diffeomorph.coe_refl 0.000250 s: matrix.head_zero 0.001201 s: _private.4241774623.divlt 0.000196 s: fin.div._main 0.000020 s: fin.div 0.000042 s: fin.has_div 0.000292 s: fin.div._main.equations._eqn_1 0.000131 s: fin.div.equations._eqn_1 0.001884 s: fin.div_def 0.001089 s: omega.nat.preterm.sub_terms._main.equations._eqn_3 0.000166 s: omega.nat.preterm.sub_terms.equations._eqn_3 0.000128 s: nat.of_digits_mod 0.001298 s: nat.dvd_iff_dvd_digits_sum 0.016665 s: nat.three_dvd_iff 0.000999 s: with_top.bounded_lattice._proof_3 0.000087 s: nat.dist.equations._eqn_1 0.010737 s: associates.bounded_lattice.equations._eqn_1 0.004208 s: gpowers.is_subgroup._match_1 0.000712 s: gpowers.is_subgroup._match_2 0.001095 s: gpowers.is_subgroup._match_3 0.000814 s: gpowers.is_subgroup 0.000748 s: gpowers.is_subgroup.equations._eqn_1 0.000226 s: multiset.to_list 0.000485 s: multiset.coe_to_list 0.001777 s: fin.succ_zero_eq_one 0.061363 s: list.alternating_prod_eq_finset_prod 0.000427 s: measure_theory.measure.absolutely_continuous.trans 0.006772 s: measure_theory.measure.quasi_measure_preserving.mono_right 0.000200 s: monad_reader.read 0.000353 s: monad_reader_trans 0.001003 s: monad_reader_trans.equations._eqn_1 0.000234 s: add_commute.neg_right_iff 0.000400 s: has_deriv_at.equations._eqn_1 0.000189 s: is_equiv.drec_on 0.002972 s: ordinal.cof_bsup_le_lift 0.002704 s: ordinal.cof_bsup_le 0.009417 s: mul_lt_mul_of_le_of_lt 0.001352 s: lt_mul_of_le_of_one_lt 0.060192 s: is_precomplete.of_subsingleton 0.066017 s: is_precomplete.of_subsingleton.equations._eqn_1 0.013200 s: polynomial.coe_mul 0.022714 s: filter.germ.division_ring.equations._eqn_1 0.000816 s: _nest_1_1.list.tactic.tactic_script.cases_on 0.000139 s: function.has_left_inverse.equations._eqn_1 0.005368 s: solvable_of_surjective 0.024120 s: solvable_quotient_of_solvable 0.018570 s: solvable_quotient_of_solvable.equations._eqn_1 0.003398 s: category_theory.monoidal_category.left_unitor_inv_naturality 0.002564 s: category_theory.monoidal_category.left_unitor_inv_naturality_assoc 0.039276 s: set.preimage_mul_const_Iio 0.003662 s: is_invariant_subring.cases_on 0.000160 s: local_equiv.eq_on_source_refl 0.006605 s: qpf.Wequiv.drec_on 0.000345 s: pequiv.sizeof 0.000106 s: d_array.inhabited 0.001361 s: submodule.semimodule_set._proof_6 0.001386 s: homeomorph.to_continuous_map_to_fun 0.004742 s: category_theory.limits.is_limit_of_is_limit_pullback_cone_map 0.005184 s: category_theory.reflects_mono 0.000050 s: trace_call_stack 0.000062 s: trace_call_stack.equations._eqn_1 0.004617 s: fin_rotate._main.equations._eqn_2 0.000307 s: complex.complex_ordered_comm_ring._proof_6 0.000121 s: has_coe_t.sizeof 0.000062 s: has_coe_t.has_sizeof_inst 0.001677 s: with_zero.mul_zero_one_class._match_1.equations._eqn_2 0.000067 s: lie_ring.has_sizeof_inst 0.000696 s: turing.TM0to1.tr._main.equations._eqn_3 0.000440 s: quotient.lift_on₂_mk 0.002848 s: with_bot.semilattice_sup.equations._eqn_1 0.063392 s: category_theory.yoneda_preserves_limits._proof_2 0.093655 s: category_theory.yoneda_preserves_limits._proof_3 0.022506 s: category_theory.yoneda_preserves_limits 0.017447 s: category_theory.yoneda_preserves_limits.equations._eqn_1 0.005155 s: omega_complete_partial_order.chain.exists_of_mem_map 0.000233 s: interior_set_of_eq 0.000521 s: is_open_set_of_eventually_nhds 0.000413 s: fp.float_cfg.mk.inj 0.002462 s: rel_iso.to_galois_insertion._proof_1 0.000595 s: rel_iso.to_galois_insertion._proof_2 0.002086 s: rel_iso.to_galois_insertion 0.008726 s: setoid.partition.complete_lattice 0.008476 s: setoid.partition.complete_lattice.equations._eqn_1 0.000089 s: wseq.drop.aux 0.000146 s: wseq.drop.aux._sunfold 0.001314 s: finset.strong_induction._main._pack.equations._eqn_1 0.000119 s: list.modify_nth_tail._sunfold 0.003203 s: lists.equiv.rec 0.000816 s: subtype.range_val_subtype 0.000331 s: totally_bounded_Ioc 0.003387 s: category_theory.types_grothendieck_topology.equations._eqn_1 0.035074 s: category_theory.comma_category.equations._eqn_1 0.000191 s: hyperreal.of_seq 0.000066 s: hyperreal.omega 0.000042 s: hyperreal.omega.equations._eqn_1 0.000223 s: category_theory.limits.has_binary_biproduct.cases_on 0.000267 s: subtype.lattice._proof_1 0.000340 s: subtype.lattice._proof_2 0.007156 s: subtype.lattice._proof_3 0.000475 s: subtype.lattice._proof_4 0.000637 s: subtype.lattice._proof_5 0.000505 s: subtype.lattice._proof_6 0.000697 s: subtype.lattice._proof_7 0.000557 s: subtype.lattice._proof_8 0.000454 s: subtype.lattice._proof_9 0.000646 s: subtype.lattice._proof_10 0.005957 s: subtype.lattice 0.005819 s: subtype.lattice.equations._eqn_1 0.000169 s: distrib_mul_action_hom.id._proof_1 0.000351 s: submonoid.closure_univ 0.000207 s: W_type.sizeof 0.000104 s: W_type.has_sizeof_inst 0.001607 s: category_theory.grothendieck_topology.atomic._proof_1 0.000583 s: writer_t.monad_except.equations._eqn_1 0.086271 s: has_fderiv_at.csinh 0.000394 s: triv_sq_zero_ext.inl.equations._eqn_1 0.000617 s: StoneCech_obj_to_Top_α 0.036934 s: padic_val_rat.div 0.005422 s: category_theory.limits.is_iso_limit_cone_parallel_pair_of_epi 0.000421 s: tactic.itauto.proof.below 0.003853 s: is_lawful_applicative.rec_on 0.020650 s: category_theory.pairwise.cocone_is_colimit._proof_3 0.003818 s: free_magma.mul_seq 0.003041 s: category_theory.Mat_.embedding.category_theory.faithful.equations._eqn_1 0.002219 s: units.mk0.equations._eqn_1 0.001210 s: Ring.has_forget_to_SemiRing.equations._eqn_1 0.000429 s: power_series.algebra.equations._eqn_1 0.000113 s: unbounded 0.000184 s: bounded.equations._eqn_1 0.000157 s: unbounded.equations._eqn_1 0.001763 s: not_bounded_iff 0.000202 s: not_unbounded_iff 0.001336 s: set.surjective_onto_range 0.000221 s: cardinal.mk_range_le 0.006497 s: ordinal.unbounded_of_unbounded_sUnion 0.000410 s: one_hom.congr_fun 0.003718 s: category_theory.whisker_left_id 0.004559 s: pell.xz_sub 0.004942 s: bounded_continuous_function.comm_ring.equations._eqn_1 0.000258 s: filter.realizer.principal_σ 0.000141 s: lazy_list.sizeof 0.000085 s: lazy_list.nil.sizeof_spec 0.005324 s: list.length_injective_iff 0.000376 s: finset.disj_union.equations._eqn_1 0.001813 s: ctop.of_equiv._main._proof_3 0.000629 s: sym.mem 0.000424 s: sym.mem.equations._eqn_1 0.000126 s: _private.3919673125.zero_lt_unsigned_sz 0.000102 s: unsigned.of_nat' 0.000015 s: mk_num_name 0.000939 s: bool.band_elim_right 0.000306 s: _private.1123440005.fintype_helper.equations._eqn_1 0.000312 s: order_dual.linear_ordered_cancel_comm_monoid._proof_2 0.001072 s: CommMon.forget₂_Mon_preserves_limits 0.013673 s: Top.presheaf_to_Type._proof_1 0.002842 s: Top.presheaf_to_Type._proof_2 0.006689 s: Top.presheaf_to_Type 0.005183 s: Top.presheaf_to_Type.equations._eqn_1 0.004039 s: add_monoid_hom.add_comm_monoid.equations._eqn_1 0.268429 s: alg_equiv.aut.equations._eqn_1 0.000318 s: ordnode.diff._match_1 0.006071 s: ordnode.diff._main 0.000194 s: category_theory.prod_coprod_distrib._proof_1 0.000326 s: category_theory.prod_coprod_distrib._proof_3 0.000101 s: category_theory.prod_coprod_distrib._proof_4 0.000205 s: category_theory.prod_coprod_distrib._proof_5 0.000079 s: category_theory.prod_coprod_distrib._proof_6 0.000087 s: category_theory.prod_coprod_distrib._proof_7 0.000211 s: category_theory.prod_coprod_distrib._proof_8 0.000183 s: category_theory.prod_coprod_distrib._proof_10 0.000180 s: category_theory.prod_coprod_distrib._proof_11 0.000177 s: category_theory.prod_coprod_distrib._proof_13 0.000091 s: category_theory.prod_coprod_distrib._proof_14 0.000086 s: category_theory.prod_coprod_distrib._proof_15 0.000165 s: category_theory.prod_coprod_distrib._proof_16 0.000078 s: category_theory.prod_coprod_distrib._proof_17 0.000187 s: category_theory.prod_coprod_distrib._proof_19 0.000176 s: category_theory.prod_coprod_distrib._proof_20 0.004904 s: category_theory.prod_coprod_distrib._proof_21 0.003526 s: category_theory.curry_natural_right 0.004164 s: category_theory.curry_natural_left 0.006450 s: category_theory.prod_coprod_distrib._proof_22 0.004002 s: category_theory.prod_coprod_distrib 0.003980 s: category_theory.prod_coprod_distrib.equations._eqn_1 0.000048 s: complete_lattice.lt._default 0.000091 s: norm_num.sub_nat_pos 0.020029 s: mersenne_pos 0.002060 s: mul_equiv.symm.equations._eqn_1 0.000134 s: turing.partrec_to_TM2.Γ'.cons.inj_arrow 0.004641 s: metric.to_inductive_limit 0.001392 s: metric.to_inductive_limit.equations._eqn_1 0.008863 s: metric.to_inductive_limit_commute 0.000358 s: lfp.equations._eqn_1 0.017504 s: local_homeomorph.trans_source' 0.015713 s: local_homeomorph.trans_target' 0.000340 s: is_complemented.drec 0.002214 s: list.fill_nones._main 0.000886 s: list.fill_nones._main.equations._eqn_1 0.000149 s: computation.parallel 0.000124 s: computation.parallel.equations._eqn_1 0.005659 s: category_theory.yoneda_sections.equations._eqn_1 0.001077 s: filter.tendsto_Ixx_class.drec_on 0.000271 s: continuous_at_inv 0.001231 s: slim_check.total_function.apply._main.equations._eqn_1 0.170557 s: quadratic_form.proj 0.120017 s: quadratic_form.proj_apply 0.013284 s: turing.TM2.cfg.mk.sizeof_spec 0.007363 s: cont_t.equiv._proof_1 0.003283 s: cont_t.equiv._proof_2 0.001347 s: cont_t.equiv 0.000264 s: cont_t.uliftable' 0.000221 s: finset.insert_none.equations._eqn_1 0.000964 s: set.bijective_iff_bij_on_univ 0.001730 s: rel_embedding.collapse_apply 0.000067 s: io.mode.read.sizeof_spec 0.000376 s: measurable_space.no_confusion_type 0.000522 s: measurable_space.no_confusion 0.001038 s: measurable_space.mk.inj 0.001616 s: measurable_space.mk.inj_eq 0.000100 s: num.div2._sunfold 0.000194 s: wseq.nth_add 0.000239 s: slim_check.sizeof_lt.equations._eqn_1 0.004241 s: ennreal.sub_le_of_sub_le 0.000638 s: free_add_magma.map._main 0.000449 s: free_add_magma.map._main.equations._eqn_1 0.004766 s: category_theory.limits.is_initial.of_unique._proof_1 0.001576 s: category_theory.limits.is_initial.of_unique 0.001164 s: category_theory.with_initial.quiver.hom.unique._proof_1 0.000383 s: category_theory.with_initial.quiver.hom.unique 0.000264 s: category_theory.with_initial.star_initial 0.011229 s: category_theory.with_initial.incl_lift._proof_1 0.010354 s: category_theory.with_initial.incl_lift._proof_2 0.096878 s: category_theory.with_initial.incl_lift._proof_3 0.023935 s: category_theory.with_initial.incl_lift 0.010081 s: category_theory.with_initial.lift_star_lift_map 0.000903 s: omega.eq_elim._main.equations._eqn_4 0.002054 s: metric_space_of_normed_group_of_add_torsor._proof_1 0.002108 s: metric_space_of_normed_group_of_add_torsor._proof_3 0.000212 s: metric_space_of_normed_group_of_add_torsor._proof_4 0.001467 s: metric_space_of_normed_group_of_add_torsor._proof_5 0.001442 s: metric_space_of_normed_group_of_add_torsor._proof_6 0.009503 s: metric_space_of_normed_group_of_add_torsor._proof_9 0.005629 s: metric_space_of_normed_group_of_add_torsor 0.000299 s: is_conj_one_left 0.004656 s: subgroup.map_map 0.003003 s: monoid_hom.map_range 0.002325 s: mem_emetric_ball_0_iff 0.001576 s: tactic_doc._1781893645 0.004143 s: is_add_group_hom.preimage.equations._eqn_1 0.000636 s: galois_coinsertion.dual._proof_1 0.001615 s: galois_coinsertion.dual 0.003298 s: galois_coinsertion.u_l_eq 0.000086 s: galois_connection.to_galois_coinsertion._proof_1 0.000360 s: galois_connection.to_galois_coinsertion 0.001453 s: submonoid.gci_map_comap._proof_1 0.000894 s: submonoid.gci_map_comap 0.000418 s: submonoid.comap_map_eq_of_injective 0.000261 s: monad_io_file_system.dir_exists 0.000038 s: io.fs.dir_exists 0.085007 s: is_dedekind_domain.is_noetherian_ring 0.000048 s: omega.int.preform.has_repr 0.000047 s: omega.int.preform.has_repr.equations._eqn_1 0.000101 s: list.scanr._match_1 0.000354 s: list.scanr_aux._main 0.000058 s: list.scanr_aux 0.000103 s: list.scanr 0.000209 s: list.scanr.equations._eqn_1 0.000157 s: is_associative.cases_on 0.000228 s: function.embedding.rec_on 0.014408 s: is_lawful_functor.rec_on 0.002080 s: category_theory.locally_small.cases_on 0.004198 s: tactic_doc._3007726530 0.000968 s: equiv.set_prod_equiv_sigma._proof_2 0.005890 s: equiv.set_prod_equiv_sigma._match_1 0.004564 s: equiv.set_prod_equiv_sigma._proof_3 0.007010 s: equiv.set_prod_equiv_sigma._match_2 0.005111 s: equiv.set_prod_equiv_sigma._proof_4 0.005188 s: equiv.set_prod_equiv_sigma 0.003508 s: equiv.set_prod_equiv_sigma.equations._eqn_1 0.000121 s: has_seq_right.rec_on 0.000151 s: continuous_map.inhabited._proof_1 0.000173 s: continuous_map.inhabited 0.000605 s: is_greatest_Ioc 0.000113 s: is_lub_Ioc 0.000278 s: cSup_Ioc 0.000102 s: smt_config.cases_on 0.000074 s: smt_config.no_confusion_type 0.000261 s: smt_config.no_confusion 0.000295 s: smt_config.mk.inj 0.000218 s: smt_config.mk.inj_arrow 0.006090 s: fin.cast_pred_mk 0.000108 s: with_bot.has_bot.equations._eqn_1 0.003580 s: category_theory.triangulated.triangle_morphism.mk.sizeof_spec 0.003103 s: subfield.to_intermediate_field 0.001914 s: subfield.to_intermediate_field.equations._eqn_1 0.000028 s: turing.partrec_to_TM2.K'.inhabited 0.001244 s: finset.filter_inter 0.000639 s: finset.inter_filter 0.048368 s: polynomial.unique_factorization_monoid.equations._eqn_1 0.000125 s: algebraic_geometry.SheafedSpace.topological_space._proof_2 0.023782 s: algebraic_geometry.LocallyRingedSpace.comp.equations._eqn_1 0.000291 s: pgame.move_left._sunfold 0.251583 s: has_fderiv_at.cosh 0.276111 s: fderiv_cosh 0.000103 s: to_additive.value_type.cases_on 0.000083 s: to_additive.value_type.no_confusion_type 0.000192 s: to_additive.value_type.no_confusion 0.000222 s: omega.nat.preform.and.inj 0.000066 s: omega.nat.preform.and.inj_arrow 0.028095 s: witt_vector.map_coeff 0.068172 s: witt_vector.is_poly.map 0.000146 s: equiv.perm.cycle_factors._proof_1 0.000108 s: equiv.perm.cycle_factors._proof_2 0.018134 s: equiv.perm.cycle_factors._proof_3 0.003509 s: equiv.perm.cycle_factors 0.003709 s: category_theory.subobject.mk_eq_of_comm 0.001156 s: set.embedding_of_subset.equations._eqn_1 0.003864 s: list.map_sub_range' 0.001801 s: list.Ico.map_sub 0.001309 s: multiset.Ico.map_sub 0.001936 s: finset.Ico.image_sub 0.005094 s: lie_hom.mem_range_self 0.013997 s: lie_hom.range_restrict_apply 0.008158 s: lie_hom.surjective_range_restrict 0.000272 s: category_theory.subobject.bounded_lattice._proof_2 0.001338 s: pnat.mod_div_aux._main.equations._eqn_2 0.000284 s: pnat.mod_div_aux.equations._eqn_2 0.000051 s: additive.preorder 0.004509 s: typevec.to_subtype._main.equations._eqn_1 0.001588 s: typevec.to_subtype.equations._eqn_1 0.002620 s: eq_of_smul_eq_smul_of_pos_of_le 0.000119 s: omega.int.nnf._sunfold 0.001198 s: intermediate_field.adjoin_one 0.000483 s: congr_arg_kind.to_string._main.equations._eqn_2 0.001218 s: ctop.realizer.id._match_3 0.000682 s: ctop.realizer.id._match_4 0.000738 s: ctop.realizer.id._match_6 0.003427 s: ctop.realizer.id._match_7 0.003423 s: ctop.realizer.id._match_7.equations._eqn_1 0.002445 s: set.range_sigma_mk 0.000699 s: _private.1962623373.to_string 0.000211 s: hash_map.has_to_string 0.000309 s: hash_map.has_to_string.equations._eqn_1 0.000647 s: turing.eval.equations._eqn_1 0.013635 s: vector.mmap._main._pack.equations._eqn_1 0.001309 s: filter.germ.add_left_cancel_semigroup.equations._eqn_1 0.000132 s: list.sublist_append_of_sublist_right 0.008938 s: times_cont_diff_within_at.prod_map' 0.001989 s: times_cont_diff_within_at.prod_map 0.003551 s: times_cont_diff_at.prod_map 0.003005 s: times_cont_diff.prod_map 0.000458 s: slim_check.testable.check'._match_1.equations._eqn_1 0.001153 s: continuous_map.normed_algebra._proof_2 0.000577 s: lazy_list.approx._main 0.000399 s: lazy_list.approx._main.equations._eqn_3 0.000365 s: category_theory.connected_components.inhabited.equations._eqn_1 0.001565 s: witt_vector.witt_mul_n._sunfold 0.000826 s: Module.colimits.prequotient.ibelow 0.002406 s: Module.colimits.prequotient.binduction_on 0.006789 s: nat.eq_prime_pow_of_dvd_least_prime_pow 0.000092 s: pnat.coprime 0.000098 s: pnat.coprime.equations._eqn_1 0.001283 s: pnat.coprime_coe 0.000931 s: pnat.coprime.mul 0.006264 s: linear_ordered_cancel_comm_monoid.cases_on 0.000620 s: set.ord_connected.drec_on 0.022211 s: invertible_of_ring_char_not_dvd._proof_1 0.002367 s: invertible_of_ring_char_not_dvd 0.000223 s: ring_char.eq_zero 0.017872 s: char_zero.fintype.card.invertible._proof_1 0.002287 s: char_zero.fintype.card.invertible 0.000264 s: list.repr._main.equations._eqn_1 0.003341 s: subgroup.mem_Sup_of_directed_on 0.000413 s: finset.lcm.equations._eqn_1 0.000194 s: _nest_1_1.list.tactic.tactic_script.cons.inj 0.000400 s: _nest_1_1.list.tactic.tactic_script.cons.inj_eq 0.000392 s: one_hom.map_one' 0.000446 s: one_hom.map_one 0.002126 s: one_hom.comp._proof_1 0.001162 s: tactic_doc._1337230680 0.002209 s: linear_isometry_equiv.ediam_image 0.000164 s: tactic.interactive.last_two._match_1 0.000048 s: tactic.interactive.last_two 0.000147 s: AddMon.inhabited.equations._eqn_1 0.000219 s: triv_sq_zero_ext.snd_inl 0.002803 s: category_theory.limits.cospan_map_inr 0.000100 s: pfunctor.inhabited 0.000107 s: pfunctor.inhabited.equations._eqn_1 0.039514 s: localization.algebra 0.041989 s: localization.algebra.equations._eqn_1 0.008140 s: turing.TM1to0.tr_aux._main.equations._eqn_5 0.001240 s: turing.TM1to0.tr_aux.equations._eqn_5 0.039266 s: homological_complex.homology_map_condition 0.019824 s: homological_complex.kernel_map_id 0.023093 s: homological_complex.homology_map_id 0.000376 s: option.rel.cases_on 0.008950 s: real.rpow_def_of_nonpos 0.001970 s: order.ideal.sup_mem_iff 0.000046 s: string.popn 0.000056 s: string.popn.equations._eqn_1 0.000098 s: string.mk_iterator._main.equations._eqn_1 0.000034 s: string.mk_iterator.equations._eqn_1 0.000624 s: string.iterator.nextn._main.equations._eqn_2 0.000079 s: string.iterator.nextn.equations._eqn_2 0.002200 s: string.popn_empty 0.036232 s: ring_quot.ideal_quotient_to_ring_quot.equations._eqn_1 0.010913 s: category_theory.limits.is_terminal.of_iso._proof_1 0.004576 s: category_theory.limits.is_terminal.of_iso._proof_2 0.014896 s: category_theory.limits.is_terminal.of_iso._proof_3 0.014557 s: category_theory.limits.is_terminal.of_iso._proof_4 0.004199 s: category_theory.limits.is_terminal.of_iso 0.000261 s: matrix.to_blocks₁₂ 0.001613 s: matrix.to_blocks_from_blocks₁₂ 0.000598 s: topological_semiring.drec_on 0.011404 s: category_theory.differential_object.has_zero_object._proof_2 0.005893 s: lie_group.drec 0.000090 s: int.induction_on'._proof_14 0.000118 s: nat.even.mul_left 0.000619 s: Top.presheaf.sheaf_condition.opens_le_cover.index.equations._eqn_1 0.000095 s: algebraic_geometry.SheafedSpace.restrict._proof_27 0.000263 s: slim_check.total_function.pi.sampleable_ext._match_1 0.000668 s: equiv.perm.decompose_fin 0.000869 s: finset.univ_perm_fin_succ 0.010944 s: add_subgroup.closure_Union 0.011824 s: add_subgroup.mem_supr_of_directed 0.003027 s: add_subgroup.coe_supr_of_directed 0.004083 s: subring.mem_mk' 0.024204 s: subring.mem_supr_of_directed 0.009212 s: subring.mem_Sup_of_directed_on 0.002003 s: subring.coe_Sup_of_directed_on 0.000103 s: continuous_pregroupoid._proof_1 0.000127 s: continuous_pregroupoid._proof_2 0.000084 s: continuous_pregroupoid._proof_3 0.000329 s: continuous_pregroupoid 0.001045 s: structure_groupoid.order_top._proof_5 0.004088 s: submonoid.coe_list_prod 0.024327 s: inf_nhds_at_bot 0.000569 s: set.Union_mul_right_image 0.001414 s: is_open_map_mul_right 0.004649 s: is_open.mul_right 0.000214 s: set.accumulate.equations._eqn_1 0.187312 s: polynomial.splitting_field_aux.algebra'''.equations._eqn_1 0.000754 s: bilin_form.left_adjoint_of_nondegenerate 0.111254 s: bilin_form.symm_comp_of_nondegenerate.equations._eqn_1 0.148992 s: bilin_form.comp_symm_comp_of_nondegenerate_apply 0.099748 s: bilin_form.symm_comp_of_nondegenerate_left_apply 0.016923 s: bilin_form.is_adjoint_pair_left_adjoint_of_nondegenerate 0.000580 s: ring_hom.quotient_ker_equiv_of_surjective._proof_2 0.002567 s: ring_hom.quotient_ker_equiv_of_surjective 0.001720 s: ring_hom.quotient_ker_equiv_of_surjective.equations._eqn_1 0.001307 s: category_theory.is_split_coequalizer.no_confusion_type 0.002465 s: category_theory.is_split_coequalizer.no_confusion 0.002592 s: category_theory.is_split_coequalizer.mk.inj 0.011520 s: category_theory.triangulated.rot_comp_inv_rot_inv_app_hom₁ 0.004613 s: category_theory.category_of_elements.structured_arrow_equivalence_inverse_obj_snd 0.000606 s: semiconj_by.neg_right 0.000138 s: commute.neg_right 0.001301 s: embedding.mk' 0.000080 s: has_ssubset.rec_on 0.002523 s: ordinal.lt_sup 0.004444 s: ordinal.is_normal.lt_nfp 0.001654 s: open_subgroup.mem_coe_subgroup 0.008053 s: category_theory.creates_limit_of_fully_faithful_of_lift._proof_1 0.005204 s: category_theory.creates_limit_of_fully_faithful_of_lift 0.011683 s: category_theory.creates_limit_of_fully_faithful_of_iso._proof_1 0.032592 s: category_theory.creates_limit_of_fully_faithful_of_iso._proof_2 0.014846 s: category_theory.creates_limit_of_fully_faithful_of_iso 0.019616 s: quaternion.norm_sq_coe 0.001111 s: rbnode.rev_fold._main.equations._eqn_2 0.000164 s: rbnode.rev_fold.equations._eqn_2 0.000091 s: intermediate_field.insert.no_confusion_type 0.000244 s: intermediate_field.insert.no_confusion 0.000163 s: intermediate_field.insert.mk.inj 0.000097 s: tactic.explode.status.inhabited 0.000669 s: is_simple_lattice.complete_boolean_algebra._proof_11 0.000139 s: zsqrtd.neg._main.equations._eqn_1 0.000108 s: zsqrtd.neg.equations._eqn_1 0.000322 s: ordnode.to_list_nil 0.000268 s: category_theory.sum.inverse_associator._match_1.equations._eqn_1 0.000472 s: measurable.sum_elim 0.001576 s: turing.TM1to0.tr_aux._main.equations._eqn_6 0.000487 s: turing.TM1to0.tr_aux.equations._eqn_6 0.009072 s: division_ring_of_is_unit_or_eq_zero._proof_2 0.000573 s: parser.err_static.digit 0.011786 s: is_min_on.localize 0.000266 s: is_min_on.is_local_min 0.229362 s: is_local_min_on.has_fderiv_within_at_nonneg 0.098724 s: has_deriv_within_at.has_deriv_at 0.626587 s: exists_has_deriv_within_at_eq_of_gt_of_lt 0.000668 s: has_deriv_within_at.neg 0.161852 s: exists_has_deriv_within_at_eq_of_lt_of_gt 0.262188 s: convex_image_has_deriv_at 0.236076 s: deriv_forall_lt_or_forall_gt_of_forall_ne 0.030672 s: _private.1704610749.g.equations._eqn_2 0.000761 s: category_theory.limits.evaluation_preserves_colimits 0.177759 s: fraction_ring.mk_eq_div 0.001559 s: ordnode.find_ge_aux._main.equations._eqn_2 0.000253 s: ordnode.find_ge_aux.equations._eqn_2 0.000421 s: finset.nonempty_of_prod_ne_one 0.035477 s: ring_hom.cod_restrict_field._proof_2 0.012922 s: ring_hom.cod_restrict_field._proof_3 0.009336 s: ring_hom.cod_restrict_field._proof_4 0.003639 s: ring_hom.cod_restrict_field 0.002438 s: ring_hom.cod_restrict_field.equations._eqn_1 0.000229 s: ordering.has_repr._match_1.equations._eqn_1 0.000180 s: encodable.W_type.encodable._proof_1 0.001701 s: encodable.W_type.encodable._proof_2 0.002100 s: category_theory.limits.prod.left_unitor_hom_naturality 0.059196 s: derivation.lie_algebra._proof_5 0.006736 s: finset.pi.cons.equations._eqn_1 0.000960 s: slim_check.sampleable_char.equations._eqn_1 0.005500 s: pi.add_left_cancel_monoid._proof_1 0.001847 s: category_theory.center.tensor_unit_snd_β 0.003673 s: con.lift_mk' 0.000419 s: set.empty_add 0.002206 s: equiv.decidable.subset.decidable.mem.decidable._mutual._proof_2 0.039615 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_2 0.000998 s: lists.equiv.decidable._main.equations._eqn_2 0.023788 s: is_R_or_C.of_real_int_cast 0.002133 s: is_R_or_C.int_cast_im 0.002851 s: measure_theory.simple_func.map_map 0.001865 s: ultrafilter.ext 0.002506 s: category_theory.limits.wide_pushout_shape.mk_cocone._match_1.equations._eqn_1 0.001386 s: category_theory.equalizer.sieve.second_obj._proof_1 0.000869 s: category_theory.equalizer.sieve.second_obj 0.002789 s: category_theory.equalizer.sieve.second_map 0.002406 s: category_theory.equalizer.sieve.second_map.equations._eqn_1 0.000776 s: computation.bind_promises 0.000569 s: ordnode.valid.dual 0.007168 s: linarith.int.coe_nat_zero_mul 0.000111 s: list.head._sunfold 0.000751 s: path.refl_extend 0.007972 s: path.refl_trans_refl 0.001401 s: add_subgroup.prod_equiv._proof_1 0.000986 s: rbnode.max._main.equations._eqn_5 0.000303 s: rbnode.max.equations._eqn_5 0.016708 s: lagrange.fun_equiv_degree_lt._proof_1 0.166429 s: lagrange.fun_equiv_degree_lt._proof_2 0.151424 s: lagrange.fun_equiv_degree_lt._proof_3 0.089539 s: lagrange.eq_zero_of_eval_eq_zero 0.019727 s: lagrange.eq_of_eval_eq 0.002090 s: lagrange.eq_interpolate 0.129609 s: lagrange.fun_equiv_degree_lt._proof_4 0.151405 s: lagrange.fun_equiv_degree_lt._proof_5 0.155474 s: lagrange.fun_equiv_degree_lt 0.000454 s: monoid_hom.coe_fn._proof_1 0.000371 s: monoid_hom.coe_fn._proof_2 0.001839 s: monoid_hom.coe_fn 0.025574 s: monoid_hom.coe_prod 0.011625 s: truncated_witt_vector.zmod_equiv_trunc.equations._eqn_1 0.001941 s: diffeomorph.has_coe_to_fun.equations._eqn_1 0.003960 s: linear_map.isometry_of_inner.equations._eqn_1 0.056119 s: norm_le_insert 0.000565 s: int.add_le_add 0.000114 s: int.add_nonneg 0.000043 s: int.bit0_nonneg 0.000433 s: has_deriv_within_at.Ici_of_Ioi 0.014579 s: set.not_mem_Ioi 0.000298 s: set.not_mem_Ioo_of_le 0.000109 s: equiv.punit_of_nonempty_of_subsingleton 0.000177 s: add_commute.symm 0.000070 s: add_commute.symm_iff 0.000325 s: real.comap_exp_nhds_within_Ioi_zero 0.000325 s: left_cancel_semigroup.cases_on 0.004402 s: add_monoid_hom.of_map_sub._proof_1 0.000133 s: is_strict_order.rec_on 0.000108 s: parser.mono.foldl_core 0.001071 s: parser.mono.foldl 0.000359 s: category_theory.limits.has_zero_object.cases_on 0.000196 s: algebraic_geometry.SheafedSpace.punit._proof_1 0.000720 s: filter.germ.nontrivial._match_1.equations._eqn_1 0.007011 s: nat.not_prime_mul 0.000128 s: nat.not_prime_mul' 0.000349 s: int.nat_abs_mul_nat_abs_eq 0.000118 s: int.not_prime_of_int_mul 0.001010 s: multiset.subsingleton_equiv._proof_2 0.000548 s: ordnode.split_max'._main.equations._eqn_1 0.000135 s: ordnode.split_max'.equations._eqn_1 0.003148 s: fin.succ_succ_above_zero 0.002381 s: fin.one_succ_above_zero 0.003167 s: add_torsor.mk.sizeof_spec 0.000813 s: one_hom.comp 0.000761 s: one_hom.id_comp 0.000472 s: filter.mem_mul 0.000347 s: is_min_on.on_subset 0.000205 s: tactic.ring2.csring_expr.pow.inj_eq 0.003293 s: lie_subalgebra.smul_mem 0.002504 s: lie_subalgebra.normalizer._proof_3 0.001226 s: lie_subalgebra.normalizer 0.002122 s: lie_subalgebra.le_def 0.000682 s: lie_subalgebra.mem_normalizer_iff 0.003047 s: lie_subalgebra.le_normalizer 0.000982 s: equiv.list_equiv_of_equiv._proof_1 0.000134 s: nonempty_of_inhabited.equations._eqn_1 0.000188 s: polynomial.gal.unique_gal_X._proof_1 0.000128 s: polynomial.gal.unique_gal_X 0.020731 s: CommMon_Type_equivalence_CommMon._proof_14 0.007547 s: finset.prod_Ico_add 0.078277 s: padic_seq.stationary_point.equations._eqn_1 0.272938 s: fderiv_within_sin 0.000933 s: category_theory.with_terminal.hom._main.equations._eqn_1 0.000142 s: category_theory.with_terminal.hom.equations._eqn_1 0.000062 s: tactic.itauto.prop.iff.equations._eqn_1 0.000192 s: turing.to_partrec.code.ibelow 0.025654 s: category_theory.limits.image.pre_comp._proof_1 0.002766 s: category_theory.limits.image.pre_comp 0.003360 s: category_theory.limits.image.pre_comp.equations._eqn_1 0.005239 s: category_theory.limits.image.factor_thru_image_pre_comp 0.003989 s: category_theory.limits.image.factor_thru_image_pre_comp_assoc 0.007425 s: category_theory.image_to_kernel_map_comp_left 0.004003 s: category_theory.exact_epi_comp 0.000318 s: AddCommGroup.colimits.prequotient.neg.inj_arrow 0.000136 s: connected_space.to_preconnected_space 0.000169 s: ordering.decidable_eq._match_1.equations._eqn_1 0.076142 s: concave_on.comp_linear_map 0.000599 s: function.bicompr.bifunctor.equations._eqn_1 0.012159 s: complete_lattice.set_independent.disjoint_Sup 0.161271 s: smooth_bump_function.no_confusion_type 0.194059 s: smooth_bump_function.no_confusion 0.222493 s: smooth_bump_function.mk.inj 0.212083 s: smooth_bump_function.mk.inj_arrow 0.020897 s: category_theory.limits.is_limit.swap_binary_fan_lift 0.002828 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.to_functor 0.006641 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.comm_shift 0.010129 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.map_triangle 0.010466 s: category_theory.triangulated.pretriangulated.triangulated_functor 0.002678 s: category_theory.triangulated.pretriangulated.triangulated_functor.cases_on 0.001904 s: category_theory.triangulated.pretriangulated.triangulated_functor.no_confusion_type 0.020797 s: complex.exp_sum 0.000565 s: ordering.compares.ne_gt 0.000189 s: nat.choose._main.equations._eqn_3 0.094821 s: has_fderiv_within_at.csin 0.090628 s: differentiable_within_at.csin 0.020900 s: linear_independent_set_iff_affine_independent_vadd_union_singleton 0.017060 s: affine_span_singleton_union_vadd_eq_top_of_span_eq_top 0.020389 s: exists_subset_affine_independent_affine_span_eq_top 0.000028 s: tactic.apply_cfg.auto_param._default 0.021463 s: normed_group_hom.comp_hom._proof_1 0.000300 s: string.iterator.extract_core._main.equations._eqn_1 0.000051 s: string.iterator.extract_core.equations._eqn_1 0.043602 s: continuous_multilinear_map.mk_pi_field.equations._eqn_1 0.000326 s: rack.pre_envel_group.incl.inj 0.000370 s: measure_theory.sigma_finite.drec_on 0.000317 s: add_con.has_le.equations._eqn_1 0.007179 s: smul_ite 0.000128 s: model_prod_inhabited 0.001188 s: rack.pre_envel_group_rel'.trans.inj 0.003766 s: rack.pre_envel_group_rel'.trans.inj_eq 0.003960 s: dfinsupp.prod_zero_index 0.020360 s: dfinsupp.prod_finset_sum_index 0.007757 s: dfinsupp.prod_sum_index 0.007463 s: add_equiv.to_AddMon_iso._proof_1 0.006282 s: add_equiv.to_AddMon_iso._proof_2 0.001275 s: add_equiv.to_AddMon_iso 0.001050 s: add_equiv.to_AddMon_iso.equations._eqn_1 0.000036 s: slim_check.dec_guard_testable._match_1._proof_1 0.000433 s: psum.sizeof._main.equations._eqn_2 0.000111 s: psum.sizeof.equations._eqn_2 0.000047 s: finset.to_colex 0.000336 s: colex.le_def 0.000683 s: colex.lt_def 0.007313 s: colex.mem_le_of_singleton_le 0.000286 s: is_symm.drec_on 0.000916 s: category_theory.limits.id_fork.equations._eqn_1 0.000296 s: semi_normed_comm_ring.cases_on 0.000216 s: semi_normed_comm_ring.no_confusion_type 0.001236 s: refl_sesq_form.is_refl 0.307237 s: cancel_factors.cancel_factors_eq 0.000299 s: div_mul_cancel_of_invertible 0.000505 s: invertible_three 0.679568 s: real.square_cos_pi_div_six 0.020239 s: div_le_div_iff' 0.002288 s: pi.left_cancel_semigroup._proof_1 0.005924 s: pi.left_cancel_semigroup._proof_2 0.000600 s: pi.left_cancel_semigroup 0.001387 s: list.rel_sum 0.003404 s: canonically_linear_ordered_monoid.sizeof 0.000068 s: canonically_linear_ordered_monoid.has_sizeof_inst 0.013659 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_1 0.003396 s: category_theory.unit_comp_partial_bijective.equations._eqn_1 0.001230 s: category_theory.iso.symm_symm_eq 0.001427 s: category_theory.unit_comp_partial_bijective_aux.equations._eqn_1 0.010285 s: category_theory.unit_comp_partial_bijective_aux_symm_apply 0.041253 s: category_theory.unit_comp_partial_bijective_symm_apply 0.019514 s: category_theory.limits.complete_lattice.has_finite_colimits_of_semilattice_sup_bot 0.000844 s: ordinal.enum.equations._eqn_1 0.000627 s: cau_seq.completion.mk.equations._eqn_1 0.012376 s: ring.fractional_ideal.semilattice_sup_bot.equations._eqn_1 0.000181 s: multiplicative.linear_ordered_comm_monoid._proof_2 0.002008 s: fintype.one_lt_card_iff_nontrivial 0.000188 s: fintype.exists_ne_of_one_lt_card 0.004733 s: alternating_map.map_coord_zero 0.018137 s: matrix.det_eq_zero_of_row_eq_zero 0.001516 s: matrix.det_eq_zero_of_column_eq_zero 0.000784 s: matrix.transpose_zero 0.010383 s: matrix.adjugate_zero 0.002040 s: monoid_hom.coe_fn_apply 0.002850 s: category_theory.adjunction.right_adjoint_of_equiv_obj 0.001964 s: ordnode.insert_min._main.equations._eqn_2 0.000179 s: omega.ee.repr._main.equations._eqn_1 0.000039 s: omega.ee.repr.equations._eqn_1 0.000167 s: dense_inducing.closure_range 0.001488 s: category_theory.comma.map_right_obj_left 0.000084 s: tactic.itauto.prop.not.equations._eqn_1 0.000111 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.none_1.inj_eq 0.000326 s: omega.nat.preterm.sub.inj_eq 0.000649 s: lt_mul_of_one_lt_left' 0.008379 s: tensor_product.add_comm_group.equations._eqn_1 0.000422 s: encodable.unit._match_1.equations._eqn_1 0.000040 s: fp.float.sign 0.000417 s: is_max_on.on_subset 0.000198 s: is_max_on.inter 0.000368 s: category_theory.limits.walking_pair.equiv_bool_apply_left 0.000513 s: fin.range_cast_succ 0.019827 s: emetric.uniform_embedding_iff 0.054368 s: uniform_embedding_iff' 0.006302 s: smul_with_zero.comp_hom.equations._eqn_1 0.000159 s: slim_check.format_failure'._sunfold 0.000341 s: connected_component.equations._eqn_1 0.005412 s: category_theory.discrete.monoidal_functor_to_lax_monoidal_functor_to_functor_map 0.233531 s: tendsto_pow_at_top_nhds_0_of_abs_lt_1 0.000399 s: fin2.no_confusion 0.000156 s: fin2.fs.inj 0.000117 s: fin2.fs.inj_eq 0.024696 s: parser.static.foldl_core._main.equations._eqn_2 0.004230 s: ordnode.split_at_aux._main.equations._eqn_2 0.000346 s: ordnode.split_at_aux.equations._eqn_2 0.000279 s: omega.nat.nnf._main.equations._eqn_1 0.000037 s: omega.nat.nnf.equations._eqn_1 0.004711 s: linear_equiv.to_Module_iso'_left 0.002397 s: linear_equiv.to_Module_iso'_left_hom 0.000447 s: pi.has_fix 0.000386 s: lawful_fix.to_has_fix 0.000545 s: lawful_fix.fix_eq 0.129744 s: pi.pi.lawful_fix'._proof_1 0.004611 s: det_of_card_zero 0.172478 s: polynomial.nat_degree_prod_le 0.024669 s: finset.compl_filter 0.006176 s: equiv.perm.fixed_point_card_lt_of_ne_one 0.122996 s: char_poly_sub_diagonal_degree_lt 0.081830 s: char_poly_degree_eq_dim 0.066644 s: char_poly_monic 0.000606 s: monoid_hom.has_one.equations._eqn_1 0.009683 s: mvqpf.cofix.corec'.equations._eqn_1 0.007207 s: mvqpf.cofix.dest_corec' 0.004684 s: continuous_linear_equiv.comp_has_fderiv_at_iff 0.010497 s: linear_isometry_equiv.comp_has_fderiv_at_iff 0.005363 s: surreal.linear_ordered_add_comm_group.equations._eqn_1 0.001517 s: mvpfunctor.M.path.sizeof 0.000130 s: mvpfunctor.M.path.has_sizeof_inst 0.001657 s: mvpfunctor.M.path.child.sizeof_spec 0.004667 s: psigma.subtype_ext 0.000197 s: mul_one_class.to_is_left_id 0.000204 s: mul_one_class.to_is_left_id.equations._eqn_1 0.000155 s: rel.restrict_domain 0.000067 s: zmod._main.equations._eqn_1 0.000477 s: omega.int.preform.repr._sunfold 0.004511 s: add_monoid_hom.mclosure_preimage_le 0.002848 s: multilinear_map.mk.inj_arrow 0.000710 s: set.fintype_bind'.equations._eqn_1 0.029427 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_7 0.004852 s: vector.map_accumr._main 0.000429 s: vector.map_accumr._main._proof_1 0.000903 s: vector.map_accumr._main.equations._eqn_1 0.003229 s: direct_sum.ghas_one.of_submodules 0.003096 s: direct_sum.ghas_one.of_submodules_one 0.000674 s: Algebra.has_limits.equations._eqn_1 0.000298 s: ennreal.continuous_const_mul 0.000289 s: real.exp_mul 0.000573 s: category_theory.creates_colimits_of_shape_of_nat_iso 0.000444 s: category_theory.creates_colimits_of_nat_iso 0.000479 s: category_theory.creates_colimits_of_nat_iso.equations._eqn_1 0.001255 s: bernstein_approximation.S.equations._eqn_1 0.000585 s: filter.has_antimono_basis.drec_on 0.000270 s: has_finite_inter.cases_on 0.000150 s: has_finite_inter.no_confusion_type 0.000133 s: typevec.arrow.mpr._main._proof_1 0.000279 s: typevec.arrow.mpr._main.equations._eqn_1 0.000440 s: ordnode.split._main.equations._eqn_1 0.000127 s: ordnode.split.equations._eqn_1 0.000344 s: category_theory.map_as_map 0.008176 s: valuation.algebra 0.009818 s: valuation.integer.integers 0.000383 s: fin.eq_mk_iff_coe_eq 0.004911 s: disjoin_many_one_reducible 0.000783 s: one_one_reducible.disjoin_left 0.000660 s: one_one_reducible.disjoin_right 0.001116 s: many_one_degree.has_add._proof_1 0.008799 s: padic_norm.one 0.000429 s: nat.arithmetic_function.to_fun_eq 0.044071 s: mv_polynomial.R 0.346299 s: mv_polynomial.R.add_comm_group 0.209544 s: mv_polynomial.R.vector_space 0.321522 s: mv_polynomial.evalᵢ 0.001976 s: cardinal.lift_mul 0.004027 s: finsupp.ker_lsingle 0.056478 s: finsupp.lsingle_range_le_ker_lapply 0.012060 s: finsupp.infi_ker_lapply_le_bot 0.047540 s: finsupp.disjoint_lsingle_lsingle 0.062215 s: finsupp.linear_independent_single 0.006883 s: finsupp.span_single_image 0.015230 s: finsupp.supr_lsingle_range 0.021195 s: finsupp.is_basis_single 0.022340 s: finsupp.dim_eq 0.000189 s: equiv.subtype_pi_equiv_pi._proof_1 0.000136 s: equiv.subtype_pi_equiv_pi._proof_2 0.002442 s: equiv.subtype_pi_equiv_pi 0.203325 s: mv_polynomial.dim_R 0.017536 s: mv_polynomial.R.finite_dimensional 0.000414 s: mv_polynomial.findim_R 0.275042 s: mv_polynomial.evalᵢ.equations._eqn_1 0.102514 s: mv_polynomial.mem_restrict_degree 0.100553 s: mv_polynomial.mem_restrict_degree_iff_sup 0.039212 s: mv_polynomial.degrees_one 0.016794 s: mv_polynomial.degrees_mul 0.010352 s: mv_polynomial.degrees_prod 0.014058 s: mv_polynomial.degrees_sub 0.039150 s: mv_polynomial.degrees_pow 0.014629 s: mv_polynomial.degrees_X' 0.176641 s: mv_polynomial.degrees_indicator 0.174287 s: mv_polynomial.indicator_mem_restrict_degree 0.262485 s: mv_polynomial.evalₗ_apply 0.265337 s: mv_polynomial.eval_indicator_apply_eq_zero 0.558667 s: mv_polynomial.map_restrict_dom_evalₗ 0.369836 s: mv_polynomial.range_evalᵢ 0.125618 s: mv_polynomial.ker_evalₗ 0.160785 s: mv_polynomial.eq_zero_of_eval_eq_zero 0.000342 s: parser.fix_core._main.equations._eqn_1 0.000675 s: strong_induction_on._main._pack._wf_rec_mk_dec_tactic._aux_1 0.018860 s: multiset.strong_induction_on._main._pack 0.000196 s: multiset.strong_induction_on._main 0.000106 s: multiset.strong_induction_on 0.003075 s: multiset.strong_induction_on._main._pack.equations._eqn_1 0.000298 s: multiset.strong_induction_on._main.equations._eqn_1 0.000322 s: multiset.strong_induction_on.equations._eqn_1 0.001921 s: multiset.strong_induction_eq 0.006983 s: category_theory.limits.pushout_cocone.mk.equations._eqn_1 0.000128 s: zsqrtd.linear_ordered_semiring 0.008405 s: category_theory.monad.comparison_forget.equations._eqn_1 0.000911 s: add_subgroup.normalizer.equations._eqn_1 0.004360 s: mul_equiv.to_Magma_iso._proof_1 0.005540 s: mul_equiv.to_Magma_iso._proof_2 0.001788 s: mul_equiv.to_Magma_iso 0.000912 s: mul_equiv.to_Magma_iso_hom 0.000248 s: uliftable.sizeof 0.000538 s: uliftable.mk.sizeof_spec 0.002657 s: continuous_linear_map.measurable_space.equations._eqn_1 0.000344 s: encodable.choose.equations._eqn_1 0.000412 s: equiv.has_scalar.equations._eqn_1 0.001707 s: filter.is_bounded_iff 0.006991 s: linear_ordered_field.sizeof 0.055024 s: ordered_comm_ring.mk.inj_arrow 0.000095 s: locally_constant.comap._proof_2 0.011222 s: locally_constant.comap._proof_3 0.002015 s: locally_constant.comap 0.002197 s: locally_constant.comap.equations._eqn_1 0.007468 s: locally_constant.coe_comap 0.003671 s: locally_constant.comap_comp 0.001458 s: valuation.integers.rec_on 0.000081 s: free_group.inhabited 0.000076 s: free_group.inhabited.equations._eqn_1 0.001193 s: differentiable_on.inv 0.000387 s: Module.coe_of 0.000383 s: Module.of.subsingleton 0.010047 s: category_theory.limits.coprod.functor_map_app 0.000365 s: add_monoid_hom.eval 0.001487 s: add_monoid_hom.eval_apply_apply 0.012578 s: category_theory.limits.types.pullback_iso_pullback_hom_snd 0.000275 s: set.interval_subset_interval_left 0.000051 s: equiv.list_nat_equiv_nat 0.000024 s: turing.to_partrec.code.pred 0.000068 s: turing.to_partrec.code.prec 0.000083 s: turing.to_partrec.code.prec.equations._eqn_1 0.000015 s: io.process.stdio.inherit.inj 0.004891 s: category_theory.functor.const.op_obj_unop_inv_app 0.000236 s: lucas_lehmer.X.has_one.equations._eqn_1 0.002019 s: category_theory.limits.coprod.map_swap 0.001441 s: category_theory.limits.coprod.map_swap_assoc 0.000215 s: is_glb.bdd_below 0.004393 s: category_theory.action_category.stabilizer_iso_End_symm_apply 0.000182 s: set.mem_Inter_of_mem 0.000095 s: is_valid_char.equations._eqn_1 0.000744 s: min_idem 0.000657 s: finset.min_insert 0.001857 s: finset.min_singleton 0.001456 s: finset.min'_singleton 0.006808 s: finset.order_emb_of_fin_singleton 0.002692 s: sym_bilin_form.is_sym_iff_flip' 0.001095 s: category_theory.grothendieck_topology.sizeof 0.000080 s: category_theory.grothendieck_topology.has_sizeof_inst 0.005656 s: pnat.coe_mul_hom.equations._eqn_1 0.033429 s: category_theory.equivalence.unop_counit_iso 0.000155 s: random.sizeof 0.000077 s: random.has_sizeof_inst 0.000365 s: pgame.short.no_confusion_type 0.005284 s: pgame.short.no_confusion 0.000750 s: pgame.short.mk.inj 0.000409 s: pgame.short.mk.inj_arrow 0.000396 s: rbnode.mk_insert_result._main.equations._eqn_3 0.000087 s: rbnode.mk_insert_result.equations._eqn_3 0.000287 s: gpow.is_group_hom 0.003376 s: finsupp.subtype_domain_zero 0.001286 s: finsupp.subtype_domain.is_add_monoid_hom 0.000072 s: nonote.has_zero 0.000035 s: nonote.inhabited 0.000028 s: nonote.inhabited.equations._eqn_1 0.275110 s: real.exists_floor 0.000090 s: pnat.distrib._proof_2 0.023327 s: ordinal.partial_order._match_4.equations._eqn_1 0.002973 s: category_theory.equalizer.fork_map 0.002420 s: int.eq_zero_of_sign_eq_zero 0.000721 s: category_theory.over.has_colimits_of_shape 0.000545 s: category_theory.over.has_colimits_of_shape.equations._eqn_1 0.002470 s: canonically_ordered_monoid.sizeof 0.000047 s: canonically_ordered_monoid.has_sizeof_inst 0.000323 s: category_theory.star 0.006935 s: category_theory.star_map_left 0.000322 s: bsupr_le_bsupr' 0.006722 s: complete_lattice.independent.disjoint_bsupr 0.001239 s: category_theory.faithful.rec_on 0.000173 s: hyperreal.infinite_mul_infinite 0.000723 s: monoid_hom.apply_apply 0.000528 s: vector.flip.traversable.equations._eqn_1 0.007794 s: multiplicity.finset.prod 0.000355 s: finset.subtype.fintype.equations._eqn_1 0.000208 s: slim_check.gen.resize._match_1 0.000168 s: slim_check.gen.resize 0.000256 s: slim_check.small.sampleable_functor 0.000153 s: slim_check.small.sampleable_functor.equations._eqn_1 0.000562 s: list.pairwise.chain' 0.002431 s: add_action.comp_hom.equations._eqn_1 0.000111 s: tactic.simp_config.canonize_instances 0.000128 s: structure_groupoid.order_bot._proof_1 0.004934 s: is_subgroup.normal_in_normalizer._match_1 0.004039 s: is_subgroup.normal_in_normalizer 0.003445 s: is_subgroup.normal_in_normalizer.equations._eqn_1 0.000386 s: ennreal.coe_max 0.000236 s: Module.colimits.prequotient.inhabited 0.001613 s: associated_mul_right_cancel 0.125490 s: free_add_semigroup.is_lawful_monad.equations._eqn_1 0.000487 s: lt_mul_of_one_lt_of_lt' 0.000642 s: add_subgroup.to_linear_ordered_add_comm_group._proof_5 0.001030 s: tree.sample._main._pack._wf_rec_mk_dec_tactic._aux_1 0.016092 s: slim_check.tree.sample._main._pack 0.011743 s: slim_check.tree.sample._main._pack.equations._eqn_1 0.000794 s: int.odd_sub' 0.000442 s: alt_bilin_form.is_alt.equations._eqn_1 0.002043 s: times_cont_diff_at.to_local_homeomorph._proof_1 0.001942 s: times_cont_diff_at.to_local_homeomorph 0.004329 s: times_cont_diff_at.to_local_homeomorph_coe 0.030830 s: prod_ring 0.000380 s: set.indicator_apply_nonpos 0.000098 s: tactic.transparency.instances.sizeof_spec 0.007608 s: category_theory.limits.binary_cofan.is_colimit.desc'._proof_1 0.005270 s: category_theory.limits.binary_cofan.is_colimit.desc' 0.004047 s: category_theory.limits.binary_cofan.is_colimit.desc'.equations._eqn_1 0.000147 s: boolean_ring.has_bot 0.000911 s: semilattice_inf.mk' 0.004630 s: lattice.mk'._proof_1 0.003370 s: lattice.mk'._proof_2 0.004006 s: lattice.mk'._proof_3 0.002182 s: semilattice_sup_mk'_partial_order_eq_semilattice_inf_mk'_partial_order 0.000388 s: lattice.mk'._proof_4 0.000255 s: lattice.mk'._proof_5 0.004761 s: lattice.mk' 0.021597 s: boolean_ring.sup_comm 0.021592 s: boolean_ring.sup_assoc 0.018190 s: boolean_ring.inf_comm 0.021260 s: boolean_ring.inf_assoc 0.009069 s: boolean_ring.inf_sup_self 0.000591 s: boolean_ring.to_boolean_algebra._proof_1 0.000647 s: boolean_ring.to_boolean_algebra._proof_2 0.000884 s: boolean_ring.to_boolean_algebra._proof_3 0.001064 s: boolean_ring.to_boolean_algebra._proof_4 0.004282 s: boolean_ring.to_boolean_algebra._proof_5 0.000923 s: boolean_ring.to_boolean_algebra._proof_6 0.000707 s: boolean_ring.to_boolean_algebra._proof_7 0.000911 s: boolean_ring.to_boolean_algebra._proof_8 0.000724 s: boolean_ring.to_boolean_algebra._proof_9 0.000903 s: boolean_ring.to_boolean_algebra._proof_10 0.000838 s: boolean_ring.to_boolean_algebra._proof_11 0.038673 s: boolean_ring.le_sup_inf_aux 0.016238 s: boolean_ring.le_sup_inf 0.001576 s: mul_one_add_self 0.011286 s: boolean_ring.sup_inf_sdiff 0.006009 s: boolean_ring.inf_inf_sdiff 0.005931 s: boolean_ring.to_boolean_algebra._proof_12 0.002051 s: boolean_ring.to_boolean_algebra._proof_13 0.037062 s: boolean_ring.to_boolean_algebra._proof_14 0.055794 s: boolean_ring.to_boolean_algebra._proof_15 0.041804 s: boolean_ring.to_boolean_algebra 0.130888 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app.equations._eqn_1 0.020252 s: polynomial.gal.restrict_dvd.equations._eqn_1 0.014637 s: alg_equiv.restrict_normal_hom_surjective 0.059119 s: polynomial.gal.restrict_surjective 0.039210 s: polynomial.gal.restrict_dvd_surjective 0.010974 s: conditionally_complete_linear_order.cases_on 0.007149 s: conditionally_complete_linear_order.no_confusion_type 0.004198 s: category_theory.limits.cocone.w_assoc 0.003014 s: add_monoid_algebra.lift_nc_alg_hom._proof_1 0.002059 s: add_monoid_algebra.lift_nc_alg_hom._proof_3 0.002045 s: add_monoid_algebra.lift_nc_alg_hom._proof_4 0.013673 s: add_monoid_algebra.lift_nc_ring_hom.equations._eqn_1 0.003828 s: add_monoid_algebra.coe_algebra_map 0.003897 s: add_monoid_algebra.lift_nc_single 0.025155 s: add_monoid_algebra.lift_nc_alg_hom._proof_5 0.010278 s: add_monoid_algebra.lift_nc_alg_hom 0.007700 s: add_monoid_algebra.lift_nc_alg_hom.equations._eqn_1 0.000226 s: turing.TM1.cfg.inhabited 0.000757 s: slim_check.decidable_testable._match_1 0.000202 s: slim_check.decidable_testable 0.000276 s: slim_check.decidable_testable.equations._eqn_1 0.001401 s: set.maps_to.restrict.equations._eqn_1 0.000076 s: int.gcd_b._sunfold 0.000501 s: compare_reals.Bourbakiℝ 0.000062 s: compare_reals.bourbaki.uniform_space 0.001400 s: mvpfunctor.W_path_dest_left.equations._eqn_1 0.009402 s: turing.list_blank.bind._proof_1 0.000300 s: turing.list_blank.bind 0.001170 s: list.reverse_repeat 0.000075 s: bool.default_bool 0.000882 s: turing.TM1to1.tr_tape'._proof_1 0.000544 s: turing.TM1to1.tr_tape'._proof_2 0.000396 s: turing.TM1to1.tr_tape' 0.000225 s: turing.list_blank.exists_cons 0.000315 s: turing.list_blank.append._main 0.000053 s: turing.list_blank.append 0.000418 s: turing.TM1to1.tr_tape'.equations._eqn_1 0.000306 s: turing.list_blank.cons_mk 0.000433 s: turing.list_blank.bind_mk 0.000280 s: turing.list_blank.append._main.equations._eqn_1 0.000079 s: turing.list_blank.append.equations._eqn_1 0.000505 s: turing.list_blank.append._main.equations._eqn_2 0.000117 s: turing.list_blank.append.equations._eqn_2 0.000960 s: turing.list_blank.append_mk 0.001551 s: turing.list_blank.cons_bind 0.008334 s: turing.TM1to1.tr_tape'_move_left 0.002258 s: turing.TM1to1.tr_tape'_move_right 0.001410 s: StoneCech_obj_to_Top_str_is_open 0.001391 s: CompHaus.to_Profinite_obj.equations._eqn_1 0.000451 s: category_theory.limits.cone_morphism.has_sizeof_inst 0.004632 s: path.truncate_zero_zero 0.000502 s: is_basis.constrL._proof_1 0.046059 s: is_basis.constrL._proof_2 0.007536 s: is_basis.constrL._proof_3 0.048101 s: is_basis.constrL._proof_4 0.000455 s: is_basis.constrL._proof_5 0.000102 s: is_basis.constrL._proof_6 0.006323 s: is_basis.constrL._proof_7 0.066113 s: is_basis.constrL._proof_8 0.059868 s: is_basis.constrL 0.011551 s: is_basis.constrL_basis 0.000784 s: many_one_degree.lift_on_eq 0.005099 s: add_monoid.End.monoid.equations._eqn_1 0.000926 s: ctop.realizer.id._match_6.equations._eqn_1 0.000175 s: ordnode.is_subset_aux._match_1 0.000144 s: ideal.polynomial.polynomial.ideal.is_jacobson 0.000113 s: ideal.polynomial.polynomial.ideal.is_jacobson.equations._eqn_1 0.000555 s: category_theory.functor.unop_obj 0.001309 s: add_monoid_hom.apply.equations._eqn_1 0.000249 s: pos_num.lxor._main.equations._eqn_1 0.002768 s: monoid_hom.comp_mul 0.000379 s: category_theory.limits.equalizer_subobject 0.000682 s: category_theory.limits.equalizer_subobject_iso 0.000932 s: int.cast_lt_zero 0.000178 s: list.lookmap._match_1.equations._eqn_2 0.000788 s: list.lookmap_cons_some 0.002399 s: list.lookmap_map_eq 0.002872 s: list.keys_kreplace 0.000663 s: list.kreplace_nodupkeys 0.000337 s: alist.replace._proof_1 0.000549 s: function.injective.linear_ordered_comm_monoid._proof_1 0.000437 s: function.injective.linear_ordered_comm_monoid._proof_2 0.000500 s: function.injective.linear_ordered_comm_monoid._proof_3 0.000570 s: function.injective.linear_ordered_comm_monoid._proof_4 0.000493 s: function.injective.linear_ordered_comm_monoid._proof_5 0.000413 s: function.injective.linear_ordered_comm_monoid._proof_6 0.000376 s: function.injective.linear_ordered_comm_monoid._proof_7 0.000334 s: function.injective.linear_ordered_comm_monoid._proof_8 0.000510 s: function.injective.linear_ordered_comm_monoid._proof_9 0.000366 s: function.injective.linear_ordered_comm_monoid._proof_11 0.001044 s: function.injective.linear_ordered_comm_monoid._proof_12 0.000876 s: function.injective.linear_ordered_comm_monoid._proof_13 0.010956 s: function.injective.linear_ordered_comm_monoid 0.015408 s: function.injective.linear_ordered_cancel_comm_monoid._proof_8 0.000162 s: Top.inhabited_prelocal_predicate 0.000163 s: Top.inhabited_prelocal_predicate.equations._eqn_1 0.019750 s: pi.ordered_add_comm_group.equations._eqn_1 0.001061 s: filter.germ.coe_coe_ring_hom 0.000385 s: preorder_hom.mk.inj_arrow 0.000115 s: euclidean_half_space.inhabited._proof_1 0.000358 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.rec_on 0.000144 s: Gromov_Hausdorff.aux_gluing._proof_2 0.004172 s: set.comm_monoid.equations._eqn_1 0.612322 s: convex.mem_Ioc 0.421262 s: is_min_on.of_is_local_min_on_of_convex_on_Icc 0.038968 s: is_min_filter.comp_tendsto 0.004946 s: is_local_min_on.comp_continuous_on 0.009820 s: affine_map.decomp 0.013679 s: affine_map.decomp' 0.004273 s: affine_map.continuous_iff 0.018943 s: affine_map.line_map_continuous 0.250344 s: is_min_on.of_is_local_min_on_of_convex_on 0.141422 s: is_min_on.of_is_local_min_of_convex_univ 0.001357 s: add_aut.coe_one 0.038065 s: is_glb.is_glb_of_tendsto 0.000083 s: tactic.ring.normalize_mode.cases_on 0.000049 s: tactic.ring.normalize_mode.no_confusion_type 0.000307 s: tactic.ring.normalize_mode.no_confusion 0.008599 s: category_theory.ι_preserves_colimits_iso_inv 0.015041 s: category_theory.limits.colimit_obj_iso_colimit_comp_evaluation_ι_app_hom 0.018001 s: category_theory.comma.nat_trans._proof_1 0.000160 s: psigma.fintype_prop_left._proof_1 0.002702 s: differentiable_on.add_const 0.004038 s: differentiable_on_add_const_iff 0.045453 s: function.injective.linear_ordered_comm_group._proof_14 0.014884 s: measure_theory.conservative.id 0.001006 s: category_theory.limits.pi.map 0.033154 s: ideal.top_mul 0.103954 s: ideal.top_pow 0.068223 s: is_Hausdorff.subsingleton 0.000337 s: is_adic_complete.to_is_Hausdorff 0.000482 s: is_adic_complete.subsingleton 0.023539 s: ideal.quotient_ker_alg_equiv_of_right_inverse.equations._eqn_1 0.000053 s: rat.has_add.equations._eqn_1 0.000835 s: is_group_hom.rec_on 0.003234 s: constr_eq 0.002401 s: constr_neg 0.003908 s: list.sigma_cons 0.006520 s: list.length_sigma 0.000496 s: vector.update_nth._proof_1 0.001958 s: subring.to_add_subgroup_injective 0.000446 s: matrix.minor.equations._eqn_1 0.000123 s: star.equations._eqn_1 0.000327 s: equiv.congr_arg 0.000267 s: equiv.perm.congr_arg 0.003409 s: local_homeomorph.is_O_with_congr 0.003834 s: homeomorph.is_O_with_congr 0.002207 s: homeomorph.is_o_congr 0.000049 s: real.comm_semiring.equations._eqn_1 0.002551 s: nat.mul_dvd_mul_iff_right 0.000985 s: measure_theory.probability_measure.ne_zero 0.004345 s: nnreal.has_one.equations._eqn_1 0.000134 s: sym.has_mem 0.001590 s: sym.mem_cons 0.000125 s: sym.mem_cons_self 0.000825 s: category_theory.equiv_relation 0.000215 s: category_theory.is_connected_zigzag 0.000162 s: d_array.sizeof 0.000061 s: d_array.has_sizeof_inst 0.000527 s: fin.exists_iff 0.002659 s: vector.mem_iff_nth 0.000665 s: nat.shiftl'._main.equations._eqn_2 0.000165 s: nat.shiftl'.equations._eqn_2 0.021553 s: nat.size_shiftl' 0.000531 s: nat.bit_ne_zero 0.006380 s: nat.shiftl'_ne_zero_left 0.000177 s: nat.size_shiftl 0.000166 s: eq.decidable.equations._eqn_1 0.001295 s: add_units.add_left_inj 0.001048 s: is_add_unit.add_left_inj 0.044586 s: category_theory.Aut.group.equations._eqn_1 0.000576 s: alist.has_mem.mem.decidable._proof_1 0.007908 s: uniform.continuous_on_iff'_left 0.006777 s: subgroup.left_coset_equiv_subgroup.equations._eqn_1 0.006557 s: direct_sum.grade_zero.distrib.equations._eqn_1 0.000467 s: function.injective.linear_ordered_comm_group._proof_10 0.002382 s: right_cancel_monoid.sizeof 0.003344 s: right_cancel_monoid.mk.sizeof_spec 0.000575 s: _private.3072507241.cycle_g._main.equations._eqn_1 0.000146 s: _private.3072507241.cycle_g.equations._eqn_1 0.001145 s: seq.not_mem_nil 0.016731 s: submonoid.to_add_submonoid'_closure 0.000215 s: tactic.itauto.proof.imp_imp_simp.sizeof_spec 0.001017 s: add_valuation.on_quot_val 0.000538 s: category_theory.hom_of_le.equations._eqn_1 0.061308 s: perfect_closure.comm_ring._match_12.equations._eqn_1 0.017586 s: rel_iso.of_surjective.equations._eqn_1 0.005100 s: mvpfunctor.W_path.no_confusion_type 0.006127 s: mvpfunctor.W_path.no_confusion 0.000078 s: num.test_bit._sunfold 0.121069 s: is_R_or_C.re_clm_coe 0.001024 s: rack.pre_envel_group_rel'.symm.sizeof_spec 0.019061 s: ftaylor_series_within_univ 0.005349 s: times_cont_diff_on_iff_ftaylor_series 0.006765 s: fin.cast_refl 0.000672 s: order_iso.refl_to_equiv 0.000663 s: equiv.cast_refl 0.002042 s: fin.cast_to_equiv 0.008330 s: ulift.ring._proof_12 0.001581 s: category_theory.subobject.of_le_refl 0.026251 s: category_theory.subobject.iso_of_eq._proof_3 0.007613 s: category_theory.limits.image.pre_comp_ι 0.004011 s: category_theory.limits.image.pre_comp_ι_assoc 0.004522 s: prime_spectrum.zero_locus_singleton_mul 0.000641 s: Top.presheaf_to_Top.equations._eqn_1 0.001655 s: category_theory.map_is_split_pair.equations._eqn_1 0.000347 s: add_action.to_fun._proof_1 0.000150 s: add_action.to_fun 0.000111 s: znum.abs._main.equations._eqn_1 0.016698 s: _private.4143707671.finv._main 0.002923 s: equiv.sigma_preimage_equiv_symm_apply_snd_coe 0.000892 s: equiv.sum_assoc.equations._eqn_1 0.001682 s: monoid_hom.mrange.equations._eqn_1 0.001963 s: tactic_doc._2158527553 0.000256 s: add_con.has_mem 0.000167 s: finset.has_add 0.000503 s: finset.add_def 0.002985 s: finset.mem_add 0.000880 s: finset.add_mem_add 0.001390 s: equiv.subtype_preimage._match_1.equations._eqn_1 0.000634 s: order_iso.tendsto_at_bot 0.000020 s: tactic.ring2.horner_expr.to_string 0.000177 s: tactic.ring2.horner_expr.to_string._sunfold 0.004802 s: free_group.red.step.cons_cons_iff 0.003181 s: int.div_pos_of_pos_of_dvd 0.004678 s: prime_spectrum.vanishing_ideal_zero_locus_eq_radical 0.015756 s: prime_spectrum.zero_locus_radical 0.108092 s: ideal.radical_pow 0.087297 s: prime_spectrum.zero_locus_pow 0.001292 s: linear_recurrence.is_sol_iff_mem_sol_space 0.001146 s: finset.order_top.equations._eqn_1 0.017050 s: intermediate_field.adjoin_le_subfield 0.005033 s: has_fderiv_at_filter.const_sub 0.002446 s: has_fderiv_at.const_sub 0.001648 s: differentiable_at.const_sub 0.000018 s: tactic.apply_cfg.unify._default 0.000507 s: with_top.bounded_lattice._proof_8 0.000635 s: local_ring.is_unit_of_mem_nonunits_one_sub_self 0.001568 s: category_theory.comma.map_right_obj_right 0.000658 s: ulift.add_zero_class._proof_1 0.000492 s: ulift.add_zero_class._proof_2 0.000117 s: ulift.add_zero_class 0.001106 s: model_with_corners.sizeof 0.000431 s: complex.distrib_mul_action.equations._eqn_1 0.004882 s: linear_equiv.trans_refl 0.000164 s: direct_sum.gcomm_monoid.has_sizeof_inst 0.000214 s: mul_aut.to_perm._proof_1 0.001794 s: subtype.coe_lt_coe 0.000930 s: is_ring_hom.cases_on 0.000168 s: category_theory.Cat.equations._eqn_1 0.002909 s: equiv.const_vadd_add 0.000368 s: equiv.const_vadd_hom._proof_1 0.001410 s: add_subgroup.inclusion._proof_1 0.008880 s: add_subgroup.inclusion._match_1 0.003182 s: add_subgroup.inclusion._match_2 0.001471 s: add_subgroup.inclusion._proof_2 0.001325 s: add_subgroup.inclusion 0.001602 s: add_subgroup.inclusion.equations._eqn_1 0.000260 s: prod.snd_neg 0.000365 s: name.last_string._main 0.000027 s: name.last_string 0.000344 s: name.last_string._main.equations._eqn_2 0.000030 s: name.last_string.equations._eqn_2 0.003276 s: list.take'_eq_take 0.010242 s: measure_theory.le_extend 0.001896 s: pequiv.mem_single_iff 0.003844 s: add_aut.conj.equations._eqn_1 0.000478 s: regular_expression.plus.inj 0.000922 s: lie_algebra.symplectic.J 0.005893 s: conditionally_complete_lattice.cases_on 0.002895 s: conditionally_complete_lattice.copy._aux_1 0.002176 s: conditionally_complete_lattice.copy._aux_2 0.006536 s: conditionally_complete_lattice.copy._aux_3 0.011015 s: conditionally_complete_lattice.copy._aux_7 0.003169 s: category_theory.nat_trans.sum._proof_1 0.008212 s: complete_of_proper.equations._eqn_1 0.004210 s: asymptotics.is_O_iff_exists_eq_mul 0.017243 s: mem_Icc_of_mem_std_simplex 0.164555 s: std_simplex_subset_closed_ball 0.000477 s: bounded_std_simplex 0.000101 s: monoid_with_zero_hom.id._proof_1 0.000077 s: monoid_with_zero_hom.id._proof_2 0.000053 s: monoid_with_zero_hom.id._proof_3 0.000348 s: monoid_with_zero_hom.id 0.000581 s: monoid_with_zero_hom.id_apply 0.001378 s: ordnode.balanced._main.equations._eqn_2 0.000573 s: ordnode.balanced.equations._eqn_2 0.004856 s: ordnode.balanced.dec._main 0.000042 s: ordnode.balanced.dec 0.000180 s: ordnode.balanced.dec._main._proof_2 0.000694 s: ordnode.balanced.dec._main.equations._eqn_1 0.000406 s: ordnode.balanced.dec.equations._eqn_1 0.002070 s: nat.coprime.mul_dvd_of_dvd_of_dvd 0.009092 s: int.modeq.modeq_of_modeq_mul_left 0.000725 s: int.modeq.modeq_of_modeq_mul_right 0.001098 s: int.modeq.modeq_and_modeq_iff_modeq_mul 0.000210 s: monoid_algebra.comm_ring._proof_1 0.000874 s: lie_hom.ext_iff 0.060498 s: universal_enveloping_algebra.ι_comp_lift 0.012209 s: universal_enveloping_algebra.lift_ι_apply 0.000192 s: fintype.decidable_left_inverse_fintype 0.000256 s: fintype.decidable_left_inverse_fintype.equations._eqn_1 0.002614 s: affine_equiv.bijective 0.000033 s: snum.inhabited 0.006026 s: finset.sup_to_finset 0.001679 s: finset.val_to_finset 0.002283 s: finset.mem_sup 0.000800 s: finset.sup_eq_bUnion 0.000157 s: equiv.bool_prod_nat_equiv_nat.equations._eqn_1 0.001712 s: comm_semiring.to_comm_monoid_with_zero.equations._eqn_1 0.000237 s: vector.nth._sunfold 0.000705 s: category_theory.limits.has_kernels.drec 0.000415 s: of_mul_one 0.000476 s: omega.nat.preform.sub_subst._main.equations._eqn_3 0.003001 s: typevec.prod.snd._sunfold 0.000129 s: category_theory.biprod.gaussian._proof_5 0.000152 s: pi.ordered_cancel_comm_monoid._proof_8 0.000315 s: algebraic_geometry.SheafedSpace.restrict._proof_22 0.000112 s: uliftable.down 0.000341 s: uliftable.down_up 0.000050 s: tactic.ring_exp.ex_type.base.sizeof_spec 0.002374 s: filter.realizer.comap._match_4.equations._eqn_1 0.002300 s: local_equiv.pi.equations._eqn_1 0.018249 s: category_theory.over.mono_left_of_mono 0.022706 s: category_theory.over.mono_left_of_mono.equations._eqn_1 0.002044 s: ring_equiv.no_confusion_type 0.000888 s: ring_equiv.no_confusion 0.001002 s: ring_equiv.mk.inj 0.002396 s: ring_equiv.mk.inj_eq 0.009248 s: mv_polynomial.map_equiv_refl 0.001280 s: category_theory.with_terminal.lift_to_terminal._proof_1 0.000621 s: category_theory.with_terminal.lift_to_terminal 0.000140 s: category_theory.with_terminal.star_terminal 0.003184 s: category_theory.with_terminal.lift_unique._match_1 0.018256 s: category_theory.with_terminal.lift_unique._proof_1 0.005678 s: category_theory.with_terminal.lift_unique 0.000643 s: category_theory.with_terminal.lift_to_terminal_unique._proof_1 0.002137 s: category_theory.with_terminal.lift_to_terminal_unique._proof_2 0.002427 s: category_theory.with_terminal.lift_to_terminal_unique 0.001258 s: nonempty_fin_lin_ord.decidable_lt._default 0.001308 s: nonempty_fin_lin_ord.decidable_lt._default.equations._eqn_1 0.001578 s: category_theory.cofinal.colimit_iso'.equations._eqn_1 0.000206 s: omega.nat.bools.or._main.equations._eqn_1 0.000026 s: omega.nat.bools.or.equations._eqn_1 0.000085 s: onote.scale._sunfold 0.002082 s: turing.TM2.stmts₁._main.equations._eqn_3 0.000773 s: topological_space.nonempty_compacts.to_closeds.equations._eqn_1 0.000440 s: generalized_continued_fraction.int_fract_pair.stream._main.equations._eqn_1 0.000134 s: generalized_continued_fraction.int_fract_pair.stream.equations._eqn_1 0.000121 s: generalized_continued_fraction.int_fract_pair.mapFr.equations._eqn_1 0.506429 s: generalized_continued_fraction.int_fract_pair.coe_of_rat_eq 0.306912 s: generalized_continued_fraction.int_fract_pair.coe_stream_nth_rat_eq 0.023981 s: generalized_continued_fraction.int_fract_pair.coe_stream_rat_eq 0.271969 s: generalized_continued_fraction.coe_of_s_nth_rat_eq 0.032887 s: generalized_continued_fraction.of_terminates_iff_of_rat_terminates 0.000261 s: list.union.equations._eqn_1 0.011593 s: cardinal.comm_semiring.equations._eqn_1 0.005508 s: category_theory.limits.inhabited_cocone._proof_1 0.001430 s: category_theory.limits.inhabited_cocone 0.001191 s: continuous_linear_map.sizeof 0.003237 s: continuous_linear_map.mk.sizeof_spec 0.040382 s: polynomial.derivative_eval₂_C 0.014153 s: polynomial.derivative_expand 0.209489 s: polynomial.is_unit_or_eq_zero_of_separable_expand 0.028180 s: equiv.subtype_prod_equiv_prod._match_1.equations._eqn_1 0.000370 s: equiv.bool_prod_equiv_sum.equations._eqn_1 0.000602 s: wseq.union._match_1.equations._eqn_3 0.000808 s: rel_hom.swap.equations._eqn_1 0.000894 s: sort.has_variable_names._proof_1 0.000181 s: sort.has_variable_names 0.000080 s: sort.has_variable_names.equations._eqn_1 0.023530 s: nonpos_of_mul_nonpos_right 0.000113 s: free_magma.traversable 0.003204 s: free_magma.traverse_mul 0.000708 s: tactic.itauto.proof.intro.inj 0.000181 s: tactic.itauto.proof.intro.inj_arrow 0.000325 s: topological_space.opens.is_basis 0.009060 s: topological_space.opens.is_basis_iff_nbhd 0.003615 s: monoid_algebra.single_one_comm 0.000147 s: hyperreal.is_st_real_iff_eq 0.000116 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.has_sizeof_inst 0.000493 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.work_0.sizeof_spec 0.002044 s: parser.err_static.bind_of_unfailing.equations._eqn_1 0.000035 s: tactic.ring2.horner_expr.has_mul 0.001356 s: equiv.set.univ_apply 0.000456 s: is_compl.is_coatom_iff_is_atom 0.001069 s: le_mul_of_le_mul_left 0.001910 s: derivation.lie_algebra._proof_1 0.000732 s: derivation.lie_algebra._proof_2 0.000515 s: derivation.lie_algebra._proof_3 0.000524 s: derivation.lie_algebra._proof_4 0.067824 s: derivation.lie_algebra._proof_6 0.149621 s: derivation.lie_algebra 0.000517 s: bilin_form.add_comm_group._proof_2 0.000303 s: bilin_form.add_comm_group._proof_3 0.013133 s: bilin_form.add_comm_group._proof_4 0.003044 s: bilin_form.add_comm_group._proof_5 0.003614 s: bilin_form.add_comm_group._proof_6 0.003647 s: bilin_form.add_comm_group._proof_8 0.006012 s: bilin_form.add_comm_group._proof_9 0.000457 s: bilin_form.add_comm_group._proof_10 0.000292 s: bilin_form.add_comm_group._proof_11 0.000229 s: bilin_form.add_comm_group._proof_12 0.000487 s: bilin_form.add_comm_group._proof_13 0.000405 s: bilin_form.add_comm_group._proof_14 0.026220 s: bilin_form.add_comm_group._proof_16 0.000454 s: bilin_form.add_comm_group._proof_17 0.017108 s: bilin_form.add_comm_group 0.004666 s: bilin_form.neg_right 0.002117 s: bilin_form.neg_apply 0.004028 s: bilin_form.is_skew_adjoint_iff_neg_self_adjoint 0.000239 s: canonically_ordered_comm_semiring.nsmul._default 0.000386 s: canonically_ordered_comm_semiring.nsmul._default.equations._eqn_1 0.006114 s: holor.add_comm_group._proof_8 0.000021 s: int.lnot 0.000370 s: int.lnot._main.equations._eqn_1 0.000120 s: int.lnot.equations._eqn_1 0.001587 s: is_free_group.unique_lift 0.004947 s: Profinite.to_Profinite_adj_to_CompHaus.equations._eqn_1 0.003105 s: filter.realizer.sup._match_9.equations._eqn_1 0.001023 s: category_theory.limits.cocone_of_split_epi.equations._eqn_1 0.001171 s: category_theory.preadditive.comp_sum_assoc 0.015083 s: category_theory.biproduct.column_nonzero_of_iso' 0.003654 s: category_theory.biproduct.column_nonzero_of_iso._proof_1 0.000343 s: nondiscrete_normed_field.mk.inj 0.000301 s: nondiscrete_normed_field.mk.inj_arrow 0.005229 s: Top.presheaf.pushforward_map.equations._eqn_1 0.000298 s: set.Ico_ℤ_finite 0.001288 s: category_theory.limits.has_kernels.cases_on 0.182018 s: inner_product_space.to_dual_map.equations._eqn_1 0.000406 s: cardinal.min.equations._eqn_1 0.020026 s: bilin_form.mk.inj 0.003831 s: bilin_form.mk.inj_arrow 0.004846 s: category_theory.triangulated.triangle_morphism.no_confusion_type 0.003308 s: category_theory.triangulated.triangle_morphism.no_confusion 0.002525 s: category_theory.triangulated.triangle_morphism.mk.inj 0.002718 s: category_theory.triangulated.triangle_morphism.mk.inj_arrow 0.008676 s: category_theory.triangulated.triangle_morphism.ext_iff 0.004180 s: monoid_algebra.is_scalar_tower 0.003455 s: monoid_algebra.is_scalar_tower.equations._eqn_1 0.001343 s: mv_polynomial.sum_to_iter.equations._eqn_1 0.001446 s: set.Ico.semilattice_inf_bot._proof_8 0.000228 s: unification_hint.pattern 0.000465 s: matrix.has_one.equations._eqn_1 0.001312 s: category_theory.limits.limit.cone_morphism.equations._eqn_1 0.000248 s: rel_hom.sizeof 0.000093 s: tactic.interactive.rep_arity.sizeof 0.000028 s: tactic.interactive.rep_arity.has_sizeof_inst 0.000070 s: nat.shiftl.equations._eqn_1 0.000280 s: abstract_completion.rec_on 0.000086 s: mvqpf.const.get 0.000113 s: mvqpf.const.get.equations._eqn_1 0.001425 s: category_theory.limits.cocone.of_pushout_cocone_X 0.002931 s: quaternion.normed_ring._proof_2 0.000138 s: bool.decidable_eq._main.equations._eqn_2 0.000064 s: bool.decidable_eq.equations._eqn_2 0.000484 s: equiv.refl_to_embedding 0.001849 s: finset.map_cast_heq 0.040239 s: bounded_continuous_function.algebra._proof_1 0.019794 s: bounded_continuous_function.algebra 0.002330 s: bounded_continuous_function.normed_algebra._proof_1 0.000556 s: linear_map.module.End.division_ring._proof_1 0.003630 s: measure_theory.integrable.sub 0.011796 s: measure_theory.integrable.to_L1_sub 0.000257 s: finset.insert_singleton_self_eq 0.027223 s: finset.sum_centroid_weights_eq_one_of_cast_card_ne_zero 0.096594 s: finset.centroid_insert_singleton 0.026284 s: finset.centroid_insert_singleton_fin 0.000631 s: list.insert_neg 0.001090 s: rbtree.from_list.equations._eqn_1 0.002922 s: list.sublists_len_sublist_of_sublist 0.001105 s: multiset.powerset_len_mono 0.009484 s: topological_space.open_nhds.map.equations._eqn_1 0.002062 s: category_theory.limits.equalizer_comparison_comp_π 0.007184 s: category_theory.limits.map_lift_equalizer_comparison 0.006196 s: category_theory.limits.map_lift_equalizer_comparison_assoc 0.000940 s: pequiv.trans.equations._eqn_1 0.007636 s: Module.Mon_Module_equivalence_Algebra._proof_2 0.001031 s: omega.int.preform.fresh_index._main.equations._eqn_4 0.028905 s: quotient_group.equiv_quotient_of_eq.equations._eqn_1 0.001327 s: cardinal.mul_power 0.017335 s: AddCommGroup.colimits.relation.dcases_on 0.001621 s: archimedean.floor_ring.equations._eqn_1 0.003403 s: semimodule.mk.sizeof_spec 0.006257 s: _private.2907559739.normal_mul_aux._match_3 0.004587 s: _private.2907559739.normal_mul_aux._match_3.equations._eqn_1 0.003570 s: multiset.sizeof_lt_sizeof_of_mem 0.001264 s: finset.sizeof_lt_sizeof_of_mem 0.000353 s: measure_theory.ae_eq_fun.partial_order 0.000481 s: measure_theory.ae_eq_fun.partial_order.equations._eqn_1 0.064232 s: is_semisimple_module.Sup_simples_eq_top 0.040862 s: is_semisimple_iff_top_eq_Sup_simples 0.008456 s: ring_hom.of.equations._eqn_1 0.000470 s: bitvec.one._main 0.000023 s: bitvec.one 0.000707 s: bitvec.one._main.equations._eqn_2 0.000240 s: bitvec.one.equations._eqn_2 0.014818 s: quotient_group.mk'.equations._eqn_1 0.000180 s: category_theory.is_isomorphic_setoid.equations._eqn_1 0.001590 s: int.odd_mul 0.000071 s: int.odd.mul 0.000105 s: tactic.eliminate.generalization_mode.generalize_all_except.inj_eq 0.000296 s: pos_num.mul._main.equations._eqn_3 0.000244 s: set.Ico.semilattice_inf_bot._proof_1 0.006694 s: multiplicative.is_subgroup_iff 0.000183 s: array.foreach 0.000713 s: buffer.foreach._main 0.000064 s: buffer.foreach 0.000409 s: buffer.foreach._main.equations._eqn_1 0.000333 s: buffer.foreach.equations._eqn_1 0.000333 s: finset.has_union.union.is_commutative.equations._eqn_1 0.000553 s: rel_embedding.refl.equations._eqn_1 0.003445 s: measure_theory.ae_eq_fun.integrable.add 0.000093 s: tactic.new_goals.non_dep_only.sizeof_spec 0.001141 s: prime_multiset.coe_nat_prime 0.000389 s: auto.case_option.decidable_eq 0.000158 s: is_well_order.is_trans.equations._eqn_1 0.005253 s: category_theory.monad.algebra.unit' 0.007064 s: tensor_product.neg.aux.equations._eqn_1 0.001467 s: finsupp.mul_zero_class._proof_1 0.000844 s: finsupp.mul_zero_class._proof_2 0.000257 s: finsupp.mul_zero_class 0.000365 s: finsupp.mul_zero_class.equations._eqn_1 0.019174 s: mv_power_series.coeff_zero_mul_X 0.000425 s: finset.sum_mk 0.001203 s: order_dual.lt_to_dual 0.002774 s: ordinal.zero_mod 0.000402 s: int.repr._main.equations._eqn_2 0.001972 s: nat.primrec'.cases_on 0.000480 s: archimedean.drec 0.000219 s: list.append_left_injective 0.000111 s: list.append_left_inj 0.000261 s: list.mem_union_left 0.002243 s: structomorph.mk.inj_arrow 0.000326 s: finsupp.semigroup.equations._eqn_1 0.000030 s: turing.to_partrec.code.succ.inj 0.000021 s: turing.to_partrec.code.succ.inj_arrow 0.001554 s: category_theory.wide_pushout_shape_connected 0.000999 s: category_theory.wide_pushout_shape_connected.equations._eqn_1 0.001433 s: typevec.eq_nil_fun 0.001096 s: finset.not_mem_sdiff_of_mem_right 0.005578 s: finset.exists_intermediate_set 0.007420 s: finset.exists_smaller_set 0.000740 s: prod.add_semigroup.equations._eqn_1 0.004225 s: category_theory.limits.colimit_of_diagram_terminal.equations._eqn_1 0.005527 s: category_theory.iso.conj_Aut_apply 0.300951 s: has_strict_fderiv_at.arctan 0.042248 s: category_theory.comonad.mk.sizeof_spec 0.000239 s: category_theory.limits.wide_pullback_shape.fintype_obj.equations._eqn_1 0.001859 s: with_top.coe_add_hom.equations._eqn_1 0.000776 s: measurable_equiv.symm.equations._eqn_1 0.002342 s: submonoid.localization_map.away_map.lift_eq 0.000234 s: num.sub'._main.equations._eqn_4 0.000104 s: rat.linear_ordered_semiring.equations._eqn_1 0.000038 s: nat.uniform_space 0.181105 s: re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two 0.024038 s: cardinal.cantor' 0.000942 s: pi_tensor_product.pempty_equiv._proof_4 0.013659 s: category_theory.id_lifts_cone._proof_1 0.002722 s: category_theory.id_lifts_cone 0.002206 s: category_theory.id_lifts_cone.equations._eqn_1 0.001346 s: category_theory.limits.as_empty_cocone.equations._eqn_1 0.001536 s: category_theory.limits.strong_epi_mono_factorisation_inhabited._proof_1 0.000846 s: category_theory.limits.strong_epi_mono_factorisation_inhabited 0.000563 s: category_theory.limits.strong_epi_mono_factorisation_inhabited.equations._eqn_1 0.000232 s: prod.ordered_comm_group._proof_1 0.000274 s: prod.ordered_comm_group._proof_2 0.000185 s: prod.ordered_comm_group._proof_3 0.001157 s: prod.ordered_comm_group._proof_4 0.000476 s: prod.ordered_comm_group._proof_5 0.000858 s: prod.ordered_comm_group._proof_6 0.000791 s: prod.ordered_comm_group._proof_7 0.000163 s: prod.ordered_comm_group._proof_9 0.000168 s: prod.ordered_comm_group._proof_10 0.000294 s: prod.ordered_comm_group._proof_11 0.000339 s: prod.ordered_comm_group._proof_12 0.000260 s: prod.ordered_cancel_comm_monoid._proof_1 0.000289 s: prod.ordered_cancel_comm_monoid._proof_2 0.000143 s: prod.ordered_cancel_comm_monoid._proof_4 0.000438 s: prod.ordered_cancel_comm_monoid._proof_6 0.000208 s: prod.ordered_cancel_comm_monoid._proof_7 0.000146 s: prod.ordered_cancel_comm_monoid._proof_8 0.000218 s: prod.ordered_cancel_comm_monoid._proof_10 0.000382 s: prod.ordered_cancel_comm_monoid._proof_11 0.012217 s: prod.ordered_cancel_comm_monoid._proof_12 0.009213 s: prod.ordered_cancel_comm_monoid._proof_13 0.004853 s: prod.ordered_cancel_comm_monoid 0.001385 s: prod.ordered_comm_group._proof_13 0.048022 s: prod.ordered_comm_group 0.051196 s: prod.ordered_comm_group.equations._eqn_1 0.000059 s: Fintype.skeleton.mk.equations._eqn_1 0.000042 s: list.modify_last 0.000473 s: list.modify_last._main.equations._eqn_2 0.000138 s: list.modify_last.equations._eqn_2 0.059833 s: mv_polynomial.rename_equiv.equations._eqn_1 0.000188 s: rbnode.find._match_2.equations._eqn_1 0.007177 s: algebra.bot_equiv_of_injective.equations._eqn_1 0.001046 s: name.has_variable_names._proof_1 0.000083 s: stream.all 0.009142 s: inv_of_neg 0.000715 s: function.injective.left_cancel_monoid._proof_4 0.000107 s: fin.has_lt.equations._eqn_1 0.000268 s: quandle.cases_on 0.000136 s: quandle.no_confusion_type 0.002375 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring_neg 0.007648 s: category_theory.arrow.lift_struct.cases_on 0.004987 s: category_theory.arrow.lift_struct.ext 0.003482 s: category_theory.arrow.subsingleton_lift_struct_of_mono 0.004392 s: category_theory.arrow.subsingleton_lift_struct_of_mono.equations._eqn_1 0.000168 s: Top.sheaf_to_Top._proof_1 0.000064 s: erased.choice 0.002346 s: topological_space.opens.map_id_hom_app 0.001563 s: submonoid.localization_map.exists_of_sec_mk' 0.000444 s: is_min_on.comp_antimono 0.000321 s: is_min_on.neg 0.002927 s: times_cont_diff_at.local_inverse._proof_1 0.003109 s: times_cont_diff_at.local_inverse 0.003600 s: monoid_hom.mclosure_preimage_le 0.001578 s: monoid_hom.map_mclosure 0.004922 s: localization.alg_equiv_of_quotient._proof_1 0.003508 s: localization.alg_equiv_of_quotient._proof_3 0.003758 s: localization.alg_equiv_of_quotient._proof_4 0.008547 s: localization.ring_equiv_of_quotient_of 0.003307 s: localization.alg_equiv_of_quotient._proof_5 0.031369 s: localization.alg_equiv_of_quotient 0.337418 s: fraction_ring.alg_equiv_of_quotient 0.274483 s: is_dedekind_domain_inv.dcases_on 0.001640 s: inv_eq 0.083927 s: ring.fractional_ideal.map_comp 0.044739 s: ring.fractional_ideal.map_id 0.014394 s: ring.fractional_ideal.map_symm_map 0.039261 s: ring.fractional_ideal.coe_coe_ideal 0.071778 s: localization_map.mem_coe_submodule 0.081520 s: ring.fractional_ideal.map_coe_ideal 0.058755 s: ring.fractional_ideal.map_zero 0.072017 s: ring.fractional_ideal.coe_map 0.012181 s: alg_equiv.to_alg_hom_to_linear_map 0.037875 s: ring.fractional_ideal.coe_mk 0.037730 s: submodule.map_div 0.196930 s: ring.fractional_ideal.exists_ne_zero_mem_is_integer 0.102104 s: ring.fractional_ideal.mem_map 0.588136 s: ring.fractional_ideal.map_ne_zero 0.527593 s: ring.fractional_ideal.map_div 0.063144 s: ring.fractional_ideal.map_one 0.016862 s: ring.fractional_ideal.map_map_symm 0.408141 s: is_dedekind_domain_inv_iff 0.000076 s: tactic.delta_config.rec_on 0.024824 s: nat.min_fac_le_div 0.000818 s: list.perm_comp_perm 0.064743 s: polynomial.pow_sub_pow_factor._sunfold 0.001296 s: pfunctor.M.approx_mk 0.001433 s: pfunctor.M.iselect_nil 0.008515 s: pfunctor.M.agree'.dcases_on 0.003238 s: pfunctor.M.iselect_cons 0.019176 s: pfunctor.M.ext_aux 0.016736 s: pfunctor.M.agree_iff_agree' 0.003561 s: pfunctor.M.ext 0.004643 s: pfunctor.M.iselect_eq_default 0.001708 s: pfunctor.M.eq_of_bisim 0.003972 s: pfunctor.M.bisim 0.000101 s: _private.2316404473.make_monospaced._sunfold 0.000125 s: has_monad_lift.cases_on 0.000487 s: has_monad_lift.no_confusion_type 0.000389 s: has_monad_lift.no_confusion 0.000103 s: lean.version 0.000968 s: pnat.gcd_a_eq 0.003230 s: category_theory.sigma.desc_map._sunfold 0.000198 s: classical.subtype_of_exists._proof_1 0.000144 s: classical.subtype_of_exists 0.000810 s: category_theory.limits.has_limits_of_shape.drec_on 0.000117 s: lazy_list.approx 0.000622 s: lazy_list.approx._main.equations._eqn_1 0.000068 s: lazy_list.approx.equations._eqn_1 0.002675 s: Module.colimits.desc_morphism.equations._eqn_1 0.004577 s: subfield.gi.equations._eqn_1 0.001261 s: finprod_mem_inter_mul_support_eq 0.001121 s: finprod_mem_inter_mul_support_eq' 0.001152 s: finprod_mem_insert_of_eq_one_if_not_mem 0.007664 s: floor_one 0.001102 s: mvqpf.cofix.map.equations._eqn_1 0.123294 s: perfect_closure.field._proof_14 0.001101 s: normed_group_hom.map_zero 0.038361 s: list.erase_diff_erase_sublist_of_sublist 0.003052 s: submodule.le_div_iff 0.002843 s: submodule.le_div_iff_mul_le 0.064838 s: ring.fractional_ideal.le_div_iff_mul_le 0.033175 s: ring.fractional_ideal.mem_span_singleton_self 0.553213 s: ring.fractional_ideal.coe_div 0.418962 s: ring.fractional_ideal.div_span_singleton 0.023955 s: finset.coe_mul 0.428771 s: ring.fractional_ideal.is_noetherian_span_singleton_inv_to_map_mul 0.000386 s: cfilter.sizeof 0.000085 s: poly.has_one 0.018312 s: poly.comm_ring._proof_8 0.000053 s: with_one.monad 0.001528 s: measure_theory.measure.add_comm_monoid.equations._eqn_1 0.001948 s: category_theory.sieve.inter_apply 0.003410 s: category_theory.sieve.pullback_inter 0.012873 s: category_theory.grothendieck_topology.intersection_covering 0.014547 s: category_theory.abelian.pullback_to_biproduct_is_kernel.is_limit_pullback_to_biproduct.equations._eqn_1 0.002272 s: nsmul_rec._main.equations._eqn_2 0.000277 s: nsmul_rec.equations._eqn_2 0.000433 s: isometric.group._proof_1 0.000633 s: cardinal.has_mul._match_1.equations._eqn_1 0.039780 s: fintype.linear_independent_iff' 0.001278 s: category_theory.mono_over.has_coe.equations._eqn_1 0.000695 s: is_local_max_on.on_subset 0.000243 s: is_local_max_on.inter 0.106134 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_map_hom 0.060755 s: has_fderiv_at_filter.const_smul 0.004814 s: turing.TM2.cfg.mk.inj_arrow 0.001023 s: of_add_neg 0.044413 s: sqr_lt_sqr 0.005246 s: ordnode.foldl._main 0.000079 s: ordnode.foldl 0.000691 s: ordnode.foldl._main.equations._eqn_1 0.000172 s: ordnode.foldl.equations._eqn_1 0.000076 s: slim_check.slim_check_cfg.num_inst._default 0.000613 s: locally_constant.has_neg.equations._eqn_1 0.020204 s: _private.3597198051.lift_aux.equations._eqn_1 0.003588 s: prod.mk.inj_left 0.015896 s: continuous_linear_map.coe_restrict_scalarsₗ 0.000429 s: equiv.integral_domain._proof_6 0.000234 s: set.Ioo_subset_Ioo_right 0.000477 s: measurable_equiv.ennreal_equiv_nnreal.equations._eqn_1 0.005908 s: set.mul_indicator_union_mul_inter_apply 0.000929 s: add_group_with_zero_nhd.has_continuous_add 0.002440 s: con.lift_surjective_of_surjective 0.017132 s: list.insert_nth_remove_nth_of_ge 0.000385 s: equiv.add_group._proof_2 0.000426 s: rel_hom.comp._proof_1 0.000502 s: rel_hom.comp 0.000531 s: rel_hom.comp.equations._eqn_1 0.001929 s: differentiable_on.congr_mono 0.000086 s: has_Inf.cases_on 0.000304 s: has_Inf.no_confusion_type 0.000340 s: has_Inf.no_confusion 0.000173 s: has_Inf.mk.inj 0.000162 s: has_Inf.mk.inj_arrow 0.000329 s: order.ideal.no_confusion_type 0.000707 s: order.ideal.no_confusion 0.000059 s: onote.NF.cases_on 0.001831 s: category_theory.limits.is_limit_of_is_limit_fork_map._proof_1 0.003727 s: category_theory.limits.is_limit_of_is_limit_fork_map 0.003020 s: category_theory.limits.is_limit_of_is_limit_fork_map.equations._eqn_1 0.001368 s: category_theory.limits.coprod.right_unitor.equations._eqn_1 0.000210 s: subsemiring.closure.equations._eqn_1 0.014669 s: category_theory.nat_trans.exchange 0.007899 s: category_theory.nat_iso.hcomp._proof_1 0.005827 s: category_theory.nat_iso.hcomp._proof_2 0.004418 s: category_theory.nat_iso.hcomp 0.000429 s: computable.equations._eqn_1 0.008996 s: ordered_add_comm_group.has_exists_add_of_le 0.007004 s: ordered_add_comm_group.has_exists_add_of_le.equations._eqn_1 0.007396 s: pgame.impartial.impartial_zero 0.000683 s: omega.int.preform.repr._main.equations._eqn_3 0.001234 s: submodule.to_linear_ordered_add_comm_monoid._proof_2 0.002128 s: free_abelian_group.zero_seq 0.003407 s: free_abelian_group.pure_seq 0.001183 s: free_abelian_group.neg_seq 0.000977 s: free_abelian_group.add_seq 0.000228 s: free_abelian_group.seq_neg 0.000391 s: free_abelian_group.seq_add 0.007026 s: free_abelian_group.is_comm_applicative 0.000085 s: free_ring.subsingleton_equiv_free_comm_ring._proof_1 0.002611 s: sum.is_lawful_functor 0.001582 s: sum.is_lawful_functor.equations._eqn_1 0.001063 s: category_theory.is_equivalence.mono_map.equations._eqn_1 0.011454 s: measure_theory.integrable.to_L1_add 0.053683 s: category_theory.Lan.loc 0.056988 s: category_theory.Lan.cocone._proof_1 0.013525 s: category_theory.Lan.cocone 0.009576 s: category_theory.limits.colimit.pre_desc 0.051865 s: category_theory.Lan.equiv._proof_7 0.017330 s: finsupp.map_range.add_monoid_hom_comp 0.000423 s: option.decidable_eq._main.equations._eqn_4 0.018391 s: multilinear_map.mk_continuous_linear._proof_1 0.023071 s: multilinear_map.mk_continuous_linear._proof_2 0.022673 s: multilinear_map.mk_continuous_linear._proof_4 0.165413 s: multilinear_map.mk_continuous_linear._proof_6 0.081221 s: multilinear_map.mk_continuous_linear 0.060131 s: multilinear_map.mk_continuous_linear.equations._eqn_1 0.012432 s: set.Union_Inter_subset 0.003758 s: finset.fold_op_rel_iff_or 0.004880 s: set.Union_Inter_of_monotone 0.003479 s: measure_theory.sum.sigma_finite 0.002004 s: bilin_form.restrict._proof_1 0.001196 s: bilin_form.restrict._proof_3 0.001316 s: bilin_form.restrict._proof_4 0.007014 s: bilin_form.restrict 0.001948 s: bilin_form.restrict_apply 0.019547 s: submodule.dual_annihilator 0.032946 s: submodule.dual_annihilator_comap 0.001394 s: bilin_form.mem_orthogonal_iff 0.037498 s: submodule.dual_annihilator_comap.equations._eqn_1 0.030111 s: submodule.mem_dual_annihilator 0.040781 s: submodule.mem_dual_annihilator_comap_iff 0.279651 s: bilin_form.to_lin_restrict_range_dual_annihilator_comap_eq_orthogonal 0.034611 s: submodule.equiv_subtype_map._proof_1 0.008259 s: submodule.equiv_subtype_map._proof_2 0.008710 s: submodule.equiv_subtype_map._proof_3 0.004205 s: submodule.equiv_subtype_map._proof_4 0.006720 s: submodule.equiv_subtype_map._proof_5 0.027036 s: submodule.equiv_subtype_map._match_1 0.025746 s: submodule.equiv_subtype_map._proof_6 0.040173 s: submodule.equiv_subtype_map._match_2 0.028188 s: submodule.equiv_subtype_map._proof_7 0.026568 s: submodule.equiv_subtype_map 0.313877 s: finite_dimensional.findim_map_subtype_eq 0.008158 s: exists_is_basis_fintype 0.230664 s: is_basis.to_dual_to_dual 0.158852 s: vector_space.erange_coe 0.177737 s: vector_space.eval_equiv 0.241142 s: vector_space.eval_equiv_to_linear_map 0.034715 s: linear_equiv.of_submodule'._proof_1 0.018162 s: linear_equiv.of_submodule' 0.498348 s: subspace.findim_dual_annihilator_comap_eq 0.071217 s: finite_dimensional.linear_equiv.quot_equiv_of_equiv 0.086480 s: subspace.quot_equiv_annihilator._proof_1 0.093228 s: subspace.quot_equiv_annihilator._proof_2 0.096893 s: subspace.quot_equiv_annihilator._proof_3 0.015841 s: subspace.quot_equiv_annihilator._proof_4 0.003052 s: subspace.quot_equiv_annihilator._proof_5 0.113908 s: finite_dimensional.linear_equiv.quot_equiv_of_quot_equiv._proof_1 0.114135 s: finite_dimensional.linear_equiv.quot_equiv_of_quot_equiv 0.039239 s: submodule.dual_restrict_ker_eq_dual_annihilator 0.108280 s: subspace.quot_annihilator_equiv._proof_1 0.287592 s: subspace.quot_annihilator_equiv 0.299236 s: subspace.quot_dual_equiv_annihilator 0.204877 s: subspace.quot_equiv_annihilator 0.367669 s: subspace.findim_add_findim_dual_annihilator_comap_eq 0.573038 s: bilin_form.findim_add_findim_orthogonal 0.143068 s: bilin_form.restrict_nondegenerate_of_is_compl_orthogonal 0.030406 s: bilin_form.nondegenerate_restrict_of_disjoint_orthogonal 0.009026 s: bilin_form.restrict_nondegenerate_iff_is_compl_orthogonal 0.001974 s: seminorm.no_confusion_type 0.001440 s: seminorm.no_confusion 0.001485 s: seminorm.mk.inj 0.001291 s: roots_of_unity.fintype.equations._eqn_1 0.001664 s: complete_semilattice_Sup.rec_on 0.000041 s: add_monoid.has_sizeof_inst 0.003044 s: free_abelian_group.is_add_group_hom_lift'.equations._eqn_1 0.001712 s: add_equiv.to_equiv_symm 0.000204 s: tactic.simp_config.rec_on 0.011464 s: linear_pmap.mk.inj_eq 0.000248 s: norm_cast.label.to_string._main.equations._eqn_3 0.000056 s: norm_cast.label.to_string.equations._eqn_3 0.195091 s: smooth_bump_function.compact_closure_support 0.000273 s: rat.num_denom_cases_on._main._proof_1 0.021587 s: rat.num_denom_cases_on._main.equations._eqn_1 0.000332 s: rat.num_denom_cases_on.equations._eqn_1 0.005756 s: tensor_algebra.lift_comp_ι 0.007568 s: mv_power_series.constant_coeff_inv 0.000765 s: power_series.constant_coeff_inv 0.000231 s: lex_has_lt.equations._eqn_1 0.037414 s: power_basis.cases_on 0.023236 s: power_basis.no_confusion_type 0.019443 s: power_basis.no_confusion 0.039334 s: power_basis.mk.inj 0.000109 s: snum.sign._main 0.000015 s: snum.sign 0.000380 s: snum.sign._main.equations._eqn_2 0.000090 s: snum.sign.equations._eqn_2 0.000338 s: list.func.set._sunfold 0.000243 s: slim_check.injective_function.list.apply_id 0.009340 s: category_theory.limits.split_mono_sigma_ι.equations._eqn_1 0.021302 s: category_theory.limits.cone.category.equations._eqn_1 0.000234 s: stone_cech.inhabited._proof_1 0.016394 s: fderiv_add 0.000109 s: list.nodup_of_nodup_append_left 0.011445 s: category_theory.monad_hom.mk.inj_arrow 0.000640 s: Module.colimits.prequotient.zero.inj_eq 0.003262 s: subfield.closure_preimage_le 0.032745 s: nat.digits._main._proof_1 0.000724 s: nat.digits._main.equations._eqn_3 0.000123 s: nat.digits.equations._eqn_3 0.000217 s: parser.conditionally_unfailing_of_unfailing 0.000233 s: parser.conditionally_unfailing_of_unfailing.equations._eqn_1 0.001581 s: vector.cons.equations._eqn_1 0.048233 s: ring.fractional_ideal.coe_le_coe 0.147193 s: ring.fractional_ideal.coe_one 0.021721 s: submodule.mul_one_div_le_one 0.285927 s: ring.fractional_ideal.mul_one_div_le_one 0.023277 s: linear_map.comp_pmap.equations._eqn_1 0.155105 s: polynomial.iterated_deriv_eq_zero_of_nat_degree_lt 0.000382 s: set.finite.measurable_set_bInter 0.177753 s: witt_structure_rat_exists_unique 0.000157 s: char.is_alphanum.equations._eqn_1 0.022043 s: hahn_series.coeff.linear_map_apply 0.083955 s: has_mfderiv_at.comp_has_mfderiv_within_at 0.014768 s: category_theory.limits.coprod.desc'._proof_1 0.003165 s: filter.tendsto_at_top_at_top_iff_of_monotone 0.005240 s: finset.prod_subtype_map_embedding 0.000121 s: rack.pre_envel_group_rel'.mul_left_inv.inj 0.000137 s: rack.pre_envel_group_rel'.mul_left_inv.inj_eq 0.007297 s: perfection_map.comp_equiv' 0.006653 s: function.surjective.comm_group._proof_2 0.005187 s: function.surjective.comm_group._proof_3 0.009163 s: function.surjective.comm_group._proof_4 0.007233 s: function.surjective.comm_group._proof_5 0.000970 s: function.surjective.group._proof_1 0.001189 s: function.surjective.group._proof_2 0.000618 s: function.surjective.group._proof_3 0.000966 s: function.surjective.group._proof_4 0.000870 s: function.surjective.group._proof_5 0.001018 s: function.surjective.group._proof_6 0.003480 s: function.surjective.group._proof_7 0.003187 s: function.surjective.group 0.001375 s: function.surjective.comm_group._proof_6 0.001356 s: function.surjective.comm_group._proof_7 0.006545 s: function.surjective.comm_group._proof_8 0.021193 s: function.surjective.comm_group 0.028172 s: function.surjective.comm_group.equations._eqn_1 0.000142 s: complex.continuous_on_exp 0.006466 s: set.Ico_union_Ici 0.000255 s: is_distinct 0.000228 s: is_distinct.drec_on 0.000683 s: filter_basis.no_confusion 0.001198 s: filter_basis.mk.inj 0.001313 s: filter_basis.mk.inj_eq 0.001258 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_13 0.002267 s: wseq.head_some_of_head_tail_some 0.000229 s: computation.mem_of_get_eq 0.001254 s: wseq.to_seq._proof_1 0.000268 s: wseq.to_seq 0.000383 s: wseq.to_seq.equations._eqn_1 0.039418 s: has_strict_deriv_at.ccos 0.010509 s: pi.list_prod_apply 0.001307 s: compact_exhaustion.mk.sizeof_spec 0.000045 s: side.R.inj_eq 0.000411 s: stream.map_eq_apply 0.001710 s: prod.t2_space._match_1 0.000663 s: prod.t2_space._match_2 0.001924 s: measure_theory.measure.ae_eq_pi 0.000141 s: nnreal.has_sub.equations._eqn_1 0.000545 s: equiv.option_equiv_sum_punit._match_1.equations._eqn_1 0.001007 s: parser.numeral.from_one.of_fintype 0.001203 s: parser.numeral.from_one.of_fintype.mono 0.001392 s: galois_connection.lift_order_top.equations._eqn_1 0.001264 s: cancel_monoid.no_confusion 0.002220 s: Mon.sections_submonoid.equations._eqn_1 0.000347 s: rbnode.balance2._main.equations._eqn_4 0.000942 s: set.Iic.semilattice_inf_bot._proof_8 0.000306 s: continuous_add_group 0.000389 s: continuous_add_group.equations._eqn_1 0.000204 s: contracting_with.fixed_point._proof_1 0.000792 s: contracting_with.fixed_point 0.000190 s: list.rotate'.equations._eqn_1 0.000220 s: acc.dcases_on 0.172022 s: padic_int.of_int_seq.equations._eqn_1 0.522958 s: padic_int.lim_nth_hom_spec 0.122784 s: padic_int.lift_sub_val_mem_span 0.051745 s: padic_int.lift_spec 0.001401 s: set.inclusion_self 0.000681 s: omega.nat.neg_elim_core._main.equations._eqn_3 0.000083 s: omega.nat.neg_elim_core.equations._eqn_3 0.000956 s: wseq.any._match_1 0.000267 s: wseq.any._match_1.equations._eqn_1 0.000104 s: plift.no_confusion_type 0.000245 s: plift.no_confusion 0.000180 s: plift.up.inj 0.000072 s: plift.up.inj_arrow 0.016068 s: localization.has_add.equations._eqn_1 0.000064 s: onote.omega 0.030058 s: quadratic_form.semimodule.equations._eqn_1 0.000476 s: with_zero.canonically_ordered_add_monoid._proof_3 0.000539 s: filter.eventually_eq.is_local_min_iff 0.008581 s: midpoint_sub_right 0.000795 s: list.perm.bind_left 0.006864 s: model_with_corners_euclidean_quadrant._match_1.equations._eqn_1 0.005501 s: linear_ordered_cancel_add_comm_monoid.cases_on 0.003658 s: linear_ordered_cancel_add_comm_monoid.no_confusion_type 0.003208 s: quotient_add_group.injective_ker_lift 0.000291 s: add_hom.id.equations._eqn_1 0.001891 s: category_theory.limits.bicone.cases_on 0.001112 s: category_theory.limits.bicone.no_confusion_type 0.001026 s: equiv.sum_compl.equations._eqn_1 0.003109 s: finsupp.prod_subtype_domain_index 0.000376 s: prod.fintype.equations._eqn_1 0.002325 s: typevec.rel_last._main.equations._eqn_1 0.012425 s: category_theory.cofinal.extend_cone_cone_to_cocone.equations._eqn_1 0.008075 s: mul_inv_le_iff 0.022718 s: distrib_lattice.mk.inj 0.004432 s: nat.odd_add' 0.000151 s: nat.even.add_odd 0.000311 s: list.any.equations._eqn_1 0.000921 s: measure_theory.finite_measure.dcases_on 0.003482 s: Module.colimits.prequotient.of.inj 0.101772 s: one_div_lt_one_div 0.000740 s: category_theory.limits.reflects_limits_of_shape.cases_on 0.035134 s: direct_sum.of_zero_ring_hom.equations._eqn_1 0.075417 s: multilinear_map.mk_continuous_multilinear.equations._eqn_1 0.000384 s: topological_space.opens.partial_order.equations._eqn_1 0.000162 s: category_theory.subobject.bounded_lattice._proof_1 0.006666 s: category_theory.subobject.bounded_lattice._proof_3 0.000520 s: category_theory.subobject.bounded_lattice._proof_4 0.001098 s: category_theory.subobject.bounded_lattice._proof_5 0.000410 s: category_theory.subobject.bounded_lattice._proof_6 0.000564 s: category_theory.subobject.bounded_lattice._proof_7 0.000343 s: category_theory.subobject.bounded_lattice._proof_8 0.000517 s: category_theory.subobject.bounded_lattice._proof_9 0.000784 s: category_theory.subobject.bounded_lattice._proof_10 0.000462 s: category_theory.subobject.bounded_lattice._proof_11 0.013319 s: category_theory.subobject.bounded_lattice 0.000644 s: set.fintype_map 1.019962 s: integral_closure.fraction_map_of_algebraic._match_2 0.244824 s: integral_closure.fraction_map_of_algebraic._proof_2 0.399718 s: integral_closure.fraction_map_of_algebraic._proof_3 0.222782 s: integral_closure.fraction_map_of_algebraic 0.043163 s: localization_map.algebra_map_eq 0.009953 s: localization_map.integer_normalization_eval₂_eq_zero 0.077534 s: localization_map.integer_normalization_aeval_eq_zero 0.297546 s: fraction_map.comap_is_algebraic_iff 0.056414 s: is_noetherian_of_submodule_of_noetherian 0.255388 s: algebra.is_algebraic_of_finite 0.129704 s: integral_closure.fraction_map_of_finite_extension._proof_1 0.201126 s: integral_closure.fraction_map_of_finite_extension._proof_2 0.242265 s: integral_closure.fraction_map_of_finite_extension 0.000783 s: category_theory.limits.bicone.to_cocone_X 0.000589 s: category_theory.arrow.has_lift.dcases_on 0.053428 s: ring_hom.to_nat_alg_hom._proof_1 0.002220 s: ring_hom.to_nat_alg_hom 0.063398 s: Algebra.free._proof_1 0.137383 s: Algebra.free._proof_2 0.097520 s: Algebra.free 0.101458 s: Algebra.free.equations._eqn_1 0.000252 s: has_measurable_add.cases_on 0.000061 s: list.map_with_index_core 0.000061 s: list.map_with_index 0.000173 s: list.map_with_index.equations._eqn_1 0.000190 s: list.map_with_index_core.equations._eqn_1 0.001041 s: list.map_with_index_core._main.equations._eqn_2 0.000159 s: list.map_with_index_core.equations._eqn_2 0.025620 s: list.map_with_index_core_eq 0.000923 s: list.zip_nil_left 0.002281 s: list.map_uncurry_zip_eq_zip_with 0.001624 s: list.zip_with_map_left 0.006536 s: list.map_with_index_eq_enum_map 0.003621 s: nat.of_digits_eq_foldr 0.007946 s: list.sum_zip_with_distrib_left 0.016539 s: nat.of_digits_eq_sum_map_with_index_aux 0.020612 s: nat.of_digits_eq_sum_map_with_index 0.001385 s: submonoid.mk.sizeof_spec 0.015973 s: category_theory.symmetric_of_has_finite_products._proof_1 0.041830 s: category_theory.symmetric_of_has_finite_products._proof_3 0.180088 s: category_theory.symmetric_of_has_finite_products._proof_4 0.022631 s: category_theory.symmetric_of_has_finite_products 0.000241 s: list.mmap'_diag._sunfold 0.000281 s: game.has_zero.equations._eqn_1 0.001029 s: nonarchimedean_add_group 0.117759 s: fst_integral 0.147025 s: measure_theory.integrable.prod_mk 0.028589 s: integral_pair 0.000288 s: additive.has_sub.equations._eqn_1 0.013430 s: topological_vector_bundle.trivial_bundle_trivialization._proof_11 0.001887 s: pfunctor.M.is_path.cases_on 0.004485 s: dfinsupp.support_zero 0.006227 s: dfinsupp.support_eq_empty 0.000901 s: dfinsupp.decidable_zero._proof_1 0.000447 s: is_add_subgroup.drec 0.005089 s: tactic_doc._4162297196 0.021100 s: perfection.coeff.equations._eqn_1 0.007141 s: continuous_linear_map.coe_inl 0.001067 s: wseq.any._match_1.equations._eqn_3 0.000287 s: mul_zero_class.no_confusion_type 0.000603 s: mul_zero_class.no_confusion 0.001161 s: mul_zero_class.mk.inj 0.024843 s: is_basis.coord_fun_eq_repr 0.000225 s: prod.ordered_add_comm_group._proof_2 0.000160 s: prod.ordered_add_comm_group._proof_3 0.003581 s: prod.ordered_add_comm_group._proof_4 0.002715 s: prod.ordered_add_comm_group._proof_5 0.002564 s: prod.ordered_add_comm_group._proof_6 0.000734 s: prod.ordered_add_comm_group._proof_7 0.000173 s: prod.ordered_add_comm_group._proof_9 0.000207 s: prod.ordered_add_comm_group._proof_10 0.000557 s: prod.ordered_add_comm_group._proof_11 0.000459 s: prod.ordered_add_comm_group._proof_12 0.047425 s: prod.ordered_add_comm_group 0.005911 s: smodeq.mono 0.008373 s: diffeomorph.to_trans_diffeomorph.equations._eqn_1 0.001061 s: category_theory.Groupoid.objects._proof_1 0.000834 s: category_theory.Groupoid.objects._proof_2 0.001897 s: category_theory.Groupoid.objects 0.001327 s: category_theory.Groupoid.objects.equations._eqn_1 0.001270 s: submonoid.powers_eq_closure 0.166430 s: perfect_closure.has_inv._match_1 0.217712 s: perfect_closure.has_inv._proof_1 0.166202 s: perfect_closure.has_inv 0.136818 s: perfect_closure.eq_iff 0.337167 s: perfect_closure.field._match_1 0.000934 s: sub_mul_action.copy._proof_1 0.000347 s: sub_mul_action.copy 0.038206 s: relation.trans_gen.dcases_on 0.002249 s: relation.trans_gen.tail'_iff 0.002717 s: cardinal.mk_Ici_real 0.000179 s: opposite.semigroup.equations._eqn_1 0.029415 s: cau_seq.const_inv 0.005954 s: real.angle.coe_two_pi 0.000217 s: znum.zneg_neg 0.000149 s: int.neg_of_neg_pos 0.000996 s: int.neg_ne_of_pos 0.000071 s: int.ne_neg_of_pos 0.000039 s: tactic.unfold_config.canonize_instances._default 0.000550 s: category_theory.monad_to_functor_eq_coe 0.000398 s: decidable_lt_of_decidable_le._sunfold 0.000377 s: char.quote_core.equations._eqn_1 0.000164 s: algebraic_closure.step.inhabited 0.000216 s: algebraic_closure.step.inhabited.equations._eqn_1 0.000064 s: Set.omega 0.005181 s: Set.omega_succ 0.000066 s: ordnode.inhabited 0.000088 s: ordnode.inhabited.equations._eqn_1 0.006420 s: with_top.add_comm_monoid.equations._eqn_1 0.002642 s: category_theory.braided_category.sizeof 0.000088 s: category_theory.braided_category.has_sizeof_inst 0.000589 s: category_theory.symmetric_category.sizeof 0.000903 s: except_t.mk_label._main.equations._eqn_1 0.000437 s: except_t.mk_label.equations._eqn_1 0.005108 s: add_submonoid.localization_map.epic_of_localization_map 0.335722 s: linear_map.dual_map.equations._eqn_1 0.008437 s: lie_module.is_irreducible.cases_on 0.003619 s: function.injective.linear_ordered_semiring._proof_1 0.002817 s: function.injective.linear_ordered_semiring._proof_2 0.003599 s: function.injective.linear_ordered_semiring._proof_3 0.002921 s: function.injective.linear_ordered_semiring._proof_4 0.001569 s: function.injective.linear_ordered_semiring._proof_5 0.002511 s: function.injective.linear_ordered_semiring._proof_6 0.002000 s: function.injective.linear_ordered_semiring._proof_7 0.000888 s: function.injective.linear_ordered_semiring._proof_8 0.000814 s: function.injective.linear_ordered_semiring._proof_9 0.001684 s: function.injective.linear_ordered_semiring._proof_11 0.000980 s: function.injective.linear_ordered_semiring._proof_12 0.001821 s: function.injective.linear_ordered_semiring._proof_13 0.001215 s: function.injective.linear_ordered_semiring._proof_14 0.001020 s: function.injective.linear_ordered_semiring._proof_15 0.001252 s: function.injective.linear_ordered_semiring._proof_16 0.000215 s: function.injective.linear_ordered_semiring._proof_17 0.000238 s: function.injective.linear_ordered_semiring._proof_18 0.000585 s: function.injective.linear_ordered_semiring._proof_19 0.000781 s: function.injective.linear_ordered_semiring._proof_20 0.001896 s: function.injective.linear_ordered_semiring._proof_21 0.001640 s: function.injective.linear_ordered_semiring._proof_22 0.003035 s: function.injective.linear_ordered_semiring._proof_23 0.004714 s: function.injective.linear_ordered_semiring._proof_24 0.002943 s: function.injective.linear_ordered_semiring._proof_25 0.000394 s: function.injective.linear_ordered_semiring._proof_26 0.082185 s: function.injective.linear_ordered_semiring 0.000354 s: subsemiring.to_linear_ordered_semiring._proof_1 0.000323 s: subsemiring.to_linear_ordered_semiring._proof_2 0.000513 s: subsemiring.to_linear_ordered_semiring._proof_4 0.000631 s: subsemiring.to_linear_ordered_semiring._proof_5 0.000450 s: subsemiring.to_linear_ordered_semiring._proof_6 0.026634 s: subsemiring.to_linear_ordered_semiring 0.003574 s: subalgebra.to_linear_ordered_semiring 0.002294 s: list.product_cons 0.013573 s: list.length_product 0.003465 s: category_theory.comonad_iso.to_nat_iso_hom 0.000051 s: vm_obj_kind.options.inj 0.000042 s: vm_obj_kind.options.inj_arrow 0.000082 s: _private.2377336987.to_nat_core.equations._eqn_1 0.136787 s: matrix.to_lin_alg_equiv'_symm 0.017626 s: deriv_within_div 0.003019 s: semiquot.is_lawful_monad._match_2.equations._eqn_1 0.095198 s: convex.neg_preimage 0.000140 s: has_inv.cases_on 0.000172 s: has_inv.no_confusion_type 0.000391 s: has_inv.no_confusion 0.000229 s: has_inv.mk.inj 0.000147 s: has_inv.mk.inj_arrow 0.000614 s: category_theory.with_terminal.map._match_1 0.000404 s: category_theory.with_terminal.map._match_1.equations._eqn_2 0.000238 s: free_semigroup.traversable 0.038678 s: power_series.le_order_add 0.000408 s: quiver.no_confusion 0.004259 s: fintype.subsingleton._match_1.equations._eqn_1 0.000427 s: con.ext_iff 0.100055 s: has_fderiv_at.ccosh 0.107245 s: fderiv_ccosh 0.060557 s: generalized_continued_fraction.second_continuant_aux_eq 0.013816 s: generalized_continued_fraction.first_continuant_eq 0.001098 s: generalized_continued_fraction.first_denominator_eq 0.001577 s: charted_space_core.sizeof 0.002158 s: charted_space_core.mk.sizeof_spec 0.000756 s: equiv.option_is_some_equiv._proof_4 0.002009 s: category_theory.limits.is_colimit.mk_cocone_morphism_desc 0.000204 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_1 0.001526 s: arity.const._main.equations._eqn_2 0.000597 s: arity.const.equations._eqn_2 0.000098 s: list.range'._sunfold 0.000317 s: _private.4143707671.finv 0.009550 s: _private.1569512379.encodable_succ._proof_1 0.001121 s: _private.1569512379.encodable_succ 0.001035 s: quiver.arborescence.mk.sizeof_spec 0.004029 s: category_theory.monoidal_nat_trans.comp_to_nat_trans' 0.001060 s: category_theory.functor.right_adjoint_of_is_equivalence 0.000070 s: param_info.inhabited 0.000275 s: is_locally_constant.iff_continuous_bot 0.027744 s: algebra.is_subring_coe_algebra_map 0.000476 s: pos_num.add._main.equations._eqn_3 0.000254 s: pos_num.decidable_lt._sunfold 0.000766 s: mzip_with'._main.equations._eqn_2 0.000200 s: mzip_with'.equations._eqn_2 0.012359 s: metric.uniform_continuous_on_iff 0.000203 s: turing.to_partrec.code.ok 0.000020 s: turing.to_partrec.cfg.then 0.001373 s: turing.eval_maximal 0.000972 s: relation.refl_trans_gen.total_of_right_unique 0.000360 s: turing.reaches_total 0.000916 s: turing.reaches_eval 0.000109 s: turing.to_partrec.cfg.no_confusion_type 0.000331 s: turing.to_partrec.cfg.no_confusion 0.000969 s: turing.to_partrec.step_normal._main.equations._eqn_6 0.000170 s: turing.to_partrec.step_normal.equations._eqn_6 0.000125 s: nat.elim.equations._eqn_1 0.004453 s: turing.to_partrec.step_normal.is_ret 0.000069 s: turing.to_partrec.cfg.then.equations._eqn_1 0.000051 s: turing.to_partrec.cfg.then.equations._eqn_2 0.000154 s: turing.to_partrec.step_normal._main.equations._eqn_1 0.000046 s: turing.to_partrec.step_normal.equations._eqn_1 0.000148 s: turing.to_partrec.step_normal._main.equations._eqn_2 0.000051 s: turing.to_partrec.step_normal.equations._eqn_2 0.000129 s: turing.to_partrec.step_normal._main.equations._eqn_3 0.000040 s: turing.to_partrec.step_normal.equations._eqn_3 0.000331 s: turing.to_partrec.step_normal._main.equations._eqn_4 0.000068 s: turing.to_partrec.step_normal.equations._eqn_4 0.000391 s: turing.to_partrec.cont.then._main.equations._eqn_2 0.000053 s: turing.to_partrec.cont.then.equations._eqn_2 0.000323 s: turing.to_partrec.step_normal._main.equations._eqn_5 0.000050 s: turing.to_partrec.step_normal.equations._eqn_5 0.000221 s: turing.to_partrec.cont.then._main.equations._eqn_4 0.000044 s: turing.to_partrec.cont.then.equations._eqn_4 0.003365 s: turing.to_partrec.step_normal_then 0.000519 s: turing.to_partrec.step_ret._main.equations._eqn_5 0.000101 s: turing.to_partrec.step_ret.equations._eqn_5 0.000036 s: turing.to_partrec.step_ret.equations._eqn_1 0.000578 s: turing.to_partrec.step_ret._main.equations._eqn_2 0.000092 s: turing.to_partrec.step_ret.equations._eqn_2 0.000523 s: turing.to_partrec.step_ret._main.equations._eqn_3 0.000071 s: turing.to_partrec.step_ret.equations._eqn_3 0.000315 s: turing.to_partrec.step_ret._main.equations._eqn_4 0.000052 s: turing.to_partrec.step_ret.equations._eqn_4 0.003946 s: turing.to_partrec.step_ret_then 0.027146 s: turing.to_partrec.cont_eval_fix 0.005715 s: fin2.left._sunfold 0.000475 s: semiring.nsmul._default.equations._eqn_1 0.006051 s: Vieta_formula_quadratic 0.001602 s: direct_sum.gcomm_monoid.cases_on 0.000778 s: direct_sum.gcomm_monoid.no_confusion_type 0.000067 s: tactic.decl_reducibility.no_confusion_type 0.000468 s: tactic.decl_reducibility.no_confusion 0.000382 s: set.Ici.semilattice_inf_top._proof_1 0.001156 s: filter_basis.mk.inj_arrow 0.036792 s: lie_submodule.add_comm_monoid.equations._eqn_1 0.034720 s: nnreal.conditionally_complete_linear_order_bot.equations._eqn_1 0.000234 s: complex.measurable_sin 0.000417 s: measurable.csin 0.000322 s: set.diff_univ 0.000030 s: ereal.inhabited 0.078720 s: ideal.factors_decreasing 0.009800 s: topological_vector_bundle.trivial_bundle_trivialization._proof_3 0.000162 s: num.add._main.equations._eqn_4 0.000060 s: num.add.equations._eqn_4 0.001675 s: tactic.ring2.horner_expr.add_aux._main.equations._eqn_2 0.000312 s: tactic.ring2.horner_expr.add_aux.equations._eqn_2 0.000155 s: num.to_znum._main.equations._eqn_2 0.000051 s: num.to_znum.equations._eqn_2 0.001660 s: category_theory.is_kernel_pair.sizeof 0.001539 s: category_theory.is_kernel_pair.mk.sizeof_spec 0.000173 s: nat.cast_coe.equations._eqn_1 0.000886 s: is_algebraic_iff_is_integral' 0.000316 s: category_theory.is_split_coequalizer.has_sizeof_inst 0.000971 s: preorder_hom.prod.zip.equations._eqn_1 0.005034 s: multiset.smul_prod 0.000151 s: vector.mmap 0.005139 s: vector.mmap_nil 0.000353 s: equiv.bool_to_equiv_prod 0.000216 s: equiv.bool_to_equiv_prod.equations._eqn_1 0.000602 s: CommRing.has_limits.equations._eqn_1 0.000064 s: list.decidable_sublist._main._proof_2 0.000733 s: category_theory.triangulated.contractible_triangle_mor₂ 0.001113 s: add_con.of_add_submonoid.equations._eqn_1 0.006389 s: nat.mul_right_eq_self_iff 0.000508 s: category_theory.simple.cases_on 0.000281 s: option.decidable_eq.equations._eqn_4 0.000111 s: measurable_space.dynkin_system.inhabited.equations._eqn_1 0.000040 s: tactic.rewrite_search.side.sizeof 0.000186 s: denumerable.raise'._main.equations._eqn_1 0.000090 s: tactic.simp_config.fail_if_unchanged 0.001433 s: subalgebra.to_submodule_injective 0.436579 s: intermediate_field.eq_of_le_of_findim_le 0.695270 s: intermediate_field.eq_of_le_of_findim_le' 0.527350 s: intermediate_field.eq_of_le_of_findim_eq' 0.010408 s: units.coe_gpow' 0.096455 s: field.exists_primitive_element_of_fintype_top 0.013709 s: finite_dimensional.fintype_of_fintype._proof_1 0.004729 s: finite_dimensional.fintype_of_fintype 0.088863 s: field.exists_primitive_element_of_fintype_bot 0.013458 s: intermediate_field.induction_on_adjoin_fg 0.088250 s: intermediate_field.induction_on_adjoin 0.017436 s: intermediate_field.adjoin_simple_adjoin_simple 0.090003 s: field.exists_primitive_element 0.402288 s: is_galois.intermediate_field.adjoin_simple.card_aut_eq_findim 0.000280 s: is_galois.is_separable 0.082017 s: is_galois.separable 0.128310 s: is_galois.splits 0.353059 s: is_galois.card_aut_eq_findim 0.363681 s: is_galois.fixed_field_fixing_subgroup 0.123891 s: is_galois.intermediate_field_equiv_subgroup._proof_1 0.756907 s: intermediate_field.fixing_subgroup_fixed_field 0.100482 s: is_galois.intermediate_field_equiv_subgroup._proof_2 0.102017 s: is_galois.intermediate_field_equiv_subgroup._proof_3 0.094323 s: is_galois.intermediate_field_equiv_subgroup 0.014691 s: real.cos_arctan 0.000374 s: binder_info.brackets._main.equations._eqn_2 0.000126 s: binder_info.brackets.equations._eqn_2 0.019631 s: quaternion_algebra.coe_sub 0.000105 s: and.drec_on 0.000652 s: hahn_series.summable_family.hsum 0.003400 s: ulift.add_group._proof_1 0.001249 s: ulift.add_group._proof_2 0.000971 s: ulift.add_group._proof_3 0.003587 s: ulift.add_group._proof_4 0.004849 s: ulift.add_group._proof_5 0.014682 s: ulift.add_group._proof_6 0.024838 s: ulift.add_group._proof_7 0.007844 s: ulift.add_group 0.003230 s: ulift.add_group.equations._eqn_1 0.000659 s: mul_equiv.refl_apply 0.005287 s: category_theory.cones._proof_1 0.004991 s: category_theory.cones._proof_2 0.002350 s: category_theory.cones 0.020236 s: category_theory.adjunction.cones_iso_component_inv._proof_1 0.011162 s: category_theory.adjunction.cones_iso_component_inv 0.001746 s: tactic_doc._3081234001 0.000373 s: turing.to_partrec.cont.cons₁.inj 0.000136 s: turing.to_partrec.cont.cons₁.inj_arrow 0.000385 s: qpf.recF._sunfold 0.000084 s: simps_cfg.simp_rhs 0.003091 s: add_monoid_algebra.smul_comm_class.equations._eqn_1 0.000214 s: units.inhabited.equations._eqn_1 0.002898 s: mv_polynomial.eval_monomial 0.005776 s: polynomial.infinite.equations._eqn_1 0.014200 s: is_noetherian_of_fg_of_noetherian' 0.000322 s: normed_group.to_semi_normed_group.equations._eqn_1 0.000231 s: pos_num.prime.equations._eqn_1 0.000118 s: list.sublist.antisymm 0.000158 s: encodable.ulift 0.000146 s: encodable.ulift.equations._eqn_1 0.003492 s: has_fderiv_at.comp_has_deriv_within_at 0.000249 s: lower_bounds_Icc 0.000685 s: order.ideal.prime_pair.cases_on 0.000295 s: order.ideal.prime_pair.no_confusion_type 0.000608 s: order.ideal.prime_pair.no_confusion 0.000145 s: galois_coinsertion.has_sizeof_inst 0.003922 s: real.summable_one_div_nat_pow 0.000084 s: complex.sinh_of_real_re 0.000509 s: locally_compact_space.drec_on 0.001472 s: category_theory.creates_limit.rec_on 0.011924 s: order_topology.regular_space._match_1.equations._eqn_2 0.004111 s: multiset.measurable_sum' 0.008592 s: Top.presheaf.stalk_functor_map_germ_assoc 0.000186 s: d_array.map₂ 0.000243 s: d_array.map₂.equations._eqn_1 0.000297 s: ring_hom.to_rat_alg_hom._proof_3 0.002083 s: int.add_mod_eq_add_mod_left 0.002354 s: zero_hom.comp_assoc 0.023230 s: zsqrtd.mul_conj 0.010226 s: submodule.mk_quotient_equiv_of_is_compl_apply 0.000211 s: wseq.coe_stream.equations._eqn_1 0.004685 s: linear_map.comp_der._proof_2 0.023792 s: linear_map.comp_der._proof_3 0.014006 s: linear_map.comp_der 0.011941 s: free_ring.of'._proof_1 0.030620 s: free_ring.of'._proof_2 0.011614 s: free_ring.of' 0.000338 s: multiset.le.equations._eqn_1 0.003964 s: open_add_subgroup.mem_comap 0.001037 s: uniform_space.completion.comm_ring._proof_5 0.000467 s: has_sum.nonpos 0.000589 s: tactic.norm_fin.normalize_fin_iff 0.032452 s: category_theory.monad.adj.equations._eqn_1 0.042712 s: subring.to_linear_ordered_ring.equations._eqn_1 0.000233 s: additive.add_right_cancel_monoid._proof_4 0.000859 s: fp.float.sign'._main.equations._eqn_1 0.004850 s: Mon_.hom.no_confusion_type 0.005671 s: Mon_.hom.no_confusion 0.002718 s: Mon_.hom.mk.inj 0.001788 s: bool.bor_left_comm 0.001768 s: filter.eventually_eq.compl 0.083421 s: algebra.finite_presentation.of_finite_type 0.040822 s: ring_hom.finite_presentation.of_finite_type 0.000547 s: ae_measurable.smul_const 0.000169 s: psigma.rec_on 0.018258 s: slim_check.int.sampleable.equations._eqn_1 0.000095 s: snum.tail._main.equations._eqn_1 0.000038 s: snum.tail.equations._eqn_1 0.000090 s: quandle.conj.equations._eqn_1 0.000112 s: list.update_nth._sunfold 0.012367 s: set.Icc_diff_pi_univ_Ioo_subset 0.001636 s: cardinal.mul_lt_omega_iff_of_ne_zero 0.000554 s: continuous_within_at.clog 0.007707 s: monoid_hom.range_restrict._proof_2 0.000240 s: int.le_of_sub_nonneg 0.000914 s: num.decidable_prime._main.equations._eqn_2 0.000196 s: finset.has_ssubset.equations._eqn_1 0.001160 s: ideal.comap_injective_of_surjective 0.000132 s: uniform_space.ball.equations._eqn_1 0.001240 s: structure_groupoid.local_invariant_prop.lift_prop_on_chart_symm 0.082776 s: localization_map.integral_domain_of_le_non_zero_divisors.equations._eqn_1 0.000395 s: measurable_equiv.set.range._proof_1 0.000254 s: measure_theory.L2.inner_product_space._proof_3 0.010304 s: polynomial.monomial_mul_X 0.008941 s: polynomial.mul_X_comp 0.003920 s: polynomial.mul_X_pow_comp 0.002600 s: t2_space.t1_space._match_1.equations._eqn_1 0.001153 s: category_theory.has_forget₂.cases_on 0.001114 s: alternating_map.congr_fun 0.003851 s: category_theory.limits.initial_op_of_terminal._proof_1 0.003855 s: category_theory.limits.initial_op_of_terminal._proof_2 0.001424 s: category_theory.limits.initial_op_of_terminal 0.000324 s: pmf.support.equations._eqn_1 0.002467 s: holor.add_comm_group._proof_1 0.001530 s: holor.add_comm_group._proof_2 0.001001 s: holor.add_comm_group._proof_3 0.004770 s: holor.add_comm_group._proof_5 0.015674 s: holor.add_comm_group._proof_6 0.006788 s: holor.add_comm_group 0.000468 s: continuous_linear_map.has_one.equations._eqn_1 0.000376 s: units.sizeof 0.000113 s: intermediate_field.insert_nonempty.equations._eqn_1 0.000169 s: is_right_regular_of_right_cancel_semigroup 0.001058 s: measure_theory.simple_func.mul_apply 0.002666 s: category_theory.triangulated.pretriangulated.triangulated_functor.to_triangulated_functor_struct 0.003915 s: category_theory.triangulated.pretriangulated.triangulated_functor.map_distinguished' 0.002047 s: has_deriv_at.smul 0.001801 s: deriv_smul 0.000284 s: le_of_mul_le_of_one_le_right 0.000979 s: submodule.quotient.has_add.equations._eqn_1 0.000380 s: alist.insert.equations._eqn_1 0.001294 s: alist.lookup_insert 0.001035 s: finmap.lookup_insert 0.001384 s: subgroup.coe_one 0.000204 s: is_group_hom.injective_iff_trivial_ker 0.000714 s: has_finite_inter.finite_inter_closure.dcases_on 0.000912 s: category_theory.non_preadditive_abelian.cases_on 0.000201 s: lazy_list.map._sunfold 0.034580 s: constr_smul 0.220862 s: unique_diff_on_Ioi 0.000886 s: set.Ici.semilattice_sup_bot._proof_4 0.027256 s: times_cont_mdiff_at.comp_times_cont_mdiff_within_at 0.011586 s: diffeomorph.times_cont_mdiff_within_at_diffeomorph_comp_iff 0.006519 s: diffeomorph.times_cont_mdiff_on_diffeomorph_comp_iff 0.000080 s: ordnode.diff 0.000461 s: add_monoid_hom.has_zero.equations._eqn_1 0.001683 s: free_add_magma.length._main.equations._eqn_2 0.000111 s: free_add_magma.length.equations._eqn_2 0.000339 s: Iic_mem_nhds 0.001267 s: pi_Iic_mem_nhds 0.000475 s: d_array.beq_aux._main.equations._eqn_1 0.000170 s: d_array.beq_aux.equations._eqn_1 0.001306 s: finite_dimensional.linear_equiv.of_findim_eq.equations._eqn_1 0.003895 s: category_theory.monoidal.right_unitor_inv_apply 0.001076 s: tactic.reorder_goals._main 0.000885 s: tactic.reorder_goals._main.equations._eqn_2 0.000640 s: matrix.sub_down.equations._eqn_1 0.001807 s: function.injective.add_left_cancel_monoid._proof_1 0.000415 s: function.injective.add_left_cancel_monoid._proof_3 0.000271 s: function.injective.add_left_cancel_monoid._proof_4 0.000590 s: function.injective.add_left_cancel_monoid._proof_5 0.000568 s: function.injective.add_left_cancel_monoid._proof_6 0.002045 s: function.injective.add_left_cancel_monoid 0.002071 s: function.injective.add_left_cancel_monoid.equations._eqn_1 0.000190 s: category_theory.limits.has_finite_wide_pullbacks.dcases_on 0.002875 s: continuous_map.dist_le 0.000546 s: pos_num.one_bits._main.equations._eqn_3 0.000049 s: pos_num.one_bits.equations._eqn_3 0.000460 s: free_algebra.pre.of_scalar.inj 0.000097 s: free_algebra.pre.of_scalar.inj_arrow 0.001536 s: uniform_inducing.uniform_continuous_iff 0.074399 s: rat.uniform_continuous_add 0.093181 s: rat.uniform_continuous_neg 0.002688 s: rat.uniform_add_group 0.000062 s: rat.topological_add_group 0.092062 s: rat.continuous_mul 0.186122 s: rat.topological_ring 0.142710 s: rat.topological_ring.equations._eqn_1 0.000126 s: environment.projection_info.cases_on 0.000089 s: environment.projection_info.no_confusion_type 0.000291 s: environment.projection_info.no_confusion 0.000330 s: with_zero.mul_zero_one_class.equations._eqn_1 0.001562 s: finsum_mem_finset_eq_sum 0.021520 s: fintype.exists_lt_sum_fiber_of_nsmul_lt_sum 0.003322 s: mvqpf.mvqpf_fix._proof_1 0.002524 s: mvqpf.fix.map.equations._eqn_1 0.002783 s: mvqpf.mvqpf_fix._proof_2 0.001492 s: mvqpf.mvqpf_fix 0.001351 s: measure_theory.measure.haar_measure.equations._eqn_1 0.009527 s: measure_theory.measure.haar_measure_apply 0.000731 s: complex.complex_order.equations._eqn_1 0.000383 s: nat.canonically_linear_ordered_add_monoid._proof_13 0.000451 s: subsemiring.gc_map_comap 0.026794 s: subsemiring.comap_top 0.005394 s: powers_mul_hom_apply 0.000165 s: lazy_list.mem._sunfold 0.000324 s: rbtree.inhabited 0.000253 s: list.split_at._sunfold 0.000843 s: order_dual.semilattice_sup_top._proof_6 0.004648 s: rel_embedding.mk.inj_arrow 0.000627 s: smodeq.equations._eqn_1 0.001316 s: add_monoid_hom.inr.equations._eqn_1 0.000747 s: filter.no_confusion_type 0.001045 s: filter.no_confusion 0.001452 s: filter.mk.inj 0.000741 s: filter.mk.inj_arrow 0.000379 s: has_exists_add_of_le.drec 0.001620 s: Module.as_hom.equations._eqn_1 0.000030 s: name.map_prefix 0.000827 s: name.map_prefix._main.equations._eqn_3 0.000096 s: name.map_prefix.equations._eqn_3 0.000089 s: d_array.beq._proof_1 0.000339 s: d_array.beq 0.000656 s: d_array.beq.equations._eqn_1 0.001379 s: d_array.beq_aux._main._proof_1 0.004624 s: d_array.beq_aux._main.equations._eqn_2 0.001163 s: d_array.beq_aux.equations._eqn_2 0.002560 s: if_true_right_eq_or 0.011694 s: d_array.of_beq_aux_eq_ff 0.002339 s: d_array.of_beq_eq_ff 0.000657 s: turing.TM2.step._main.equations._eqn_1 0.000584 s: turing.TM2.step.equations._eqn_1 0.110181 s: has_fderiv_within_at.has_mfderiv_within_at 0.015251 s: ring_equiv.of_hom_inv_apply 0.000149 s: algebraic_geometry.PresheafedSpace.coe_carrier.equations._eqn_1 0.000787 s: category_theory.braided_functor.category_braided_functor.equations._eqn_1 0.003385 s: localization.r'.equations._eqn_1 0.004369 s: pgame.short_nat._sunfold 0.004295 s: one_left_coset 0.002494 s: set.singleton_prod_singleton 0.002334 s: measure_theory.simple_func.pair_preimage 0.001558 s: measure_theory.simple_func.pair_preimage_singleton 0.020449 s: has_deriv_at.has_deriv_at_filter 0.088787 s: function.injective.integral_domain._proof_11 0.031006 s: polynomial.ne_zero_of_degree_ge_degree 0.009084 s: polynomial.nat_degree_lt_nat_degree_iff 0.263776 s: polynomial.div_tendsto_zero_of_degree_lt 0.053725 s: polynomial.is_O_of_degree_le 0.000398 s: lazy_list.map₂._sunfold 0.010091 s: normed_group_hom.le_of_op_norm_le 0.000092 s: measure_theory.is_add_right_invariant 0.000501 s: measure_theory.measure.neg 0.001105 s: measure_theory.measure.neg_apply 0.001541 s: measure_theory.measure.neg_neg 0.003430 s: measure_theory.is_add_right_invariant.neg 0.002485 s: measure_theory.is_add_left_invariant.neg 0.001063 s: measure_theory.is_add_right_invariant_neg 0.000840 s: list.choose_x._main._proof_2 0.000229 s: list.choose_x._main._proof_3 0.001822 s: list.choose_x._main.equations._eqn_2 0.000492 s: list.choose_x.equations._eqn_2 0.000726 s: pgame.relabelling.no_confusion_type 0.001000 s: pgame.relabelling.no_confusion 0.001606 s: pgame.relabelling.mk.inj 0.001422 s: pgame.relabelling.mk.inj_arrow 0.000429 s: option.exists 0.000074 s: pos_num.bit.equations._eqn_1 0.000140 s: omega.term.mul._sunfold 0.002672 s: finsupp.order_iso_multiset.equations._eqn_1 0.000943 s: add_monoid_algebra.lift._proof_1 0.004758 s: add_monoid_algebra.lift._proof_2 0.003722 s: add_monoid_algebra.lift._proof_3 0.004628 s: add_monoid_algebra.lift._proof_4 0.005687 s: add_monoid_algebra.lift._proof_5 0.004233 s: add_monoid_algebra.lift._proof_6 0.099237 s: add_monoid_algebra.lift 0.025620 s: add_monoid_algebra.lift_def 0.000293 s: nat.inhabited.equations._eqn_1 0.021882 s: list.length_zip_with 0.003904 s: list.lt_length_left_of_zip_with 0.000403 s: list.lt_length_left_of_zip 0.001935 s: list.lt_length_right_of_zip_with 0.000307 s: list.lt_length_right_of_zip 0.002212 s: list.nth_le_zip_with 0.000536 s: list.nth_le_zip 0.000398 s: multiset.has_inter.equations._eqn_1 0.000030 s: category_theory.Rel 0.001506 s: category_theory.rel._proof_1 0.000958 s: fin.succ_eq_last_succ 0.005280 s: add_subgroup.prod_mono 0.000588 s: add_subgroup.prod_mono_right 0.000261 s: ring.fractional_ideal.inhabited 0.000608 s: omega.nat.preform.fresh_index._main.equations._eqn_2 0.000325 s: add_monoid_hom.to_rat_linear_map._proof_1 0.188771 s: add_monoid_hom.map_rat_module_smul 0.121882 s: add_monoid_hom.to_rat_linear_map 0.000253 s: sym.cons'._proof_1 0.000234 s: sym.cons' 0.000118 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_1 0.018797 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_2 0.000081 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_3 0.000142 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_4 0.006448 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_5 0.005200 s: equiv.subtype_quotient_equiv_quotient_subtype._match_1 0.002318 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_6 0.003426 s: equiv.subtype_quotient_equiv_quotient_subtype._proof_7 0.003083 s: equiv.subtype_quotient_equiv_quotient_subtype 0.000053 s: sym.sym_equiv_sym'._proof_1 0.000176 s: sym.sym_equiv_sym'._proof_2 0.001508 s: sym.sym_equiv_sym' 0.006170 s: sym.cons_equiv_eq_equiv_cons 0.001395 s: list.scanl_cons 0.001668 s: list.nth_le_zero_scanl 0.037895 s: list.nth_le_succ_scanl 0.007007 s: filter.map.equations._eqn_1 0.057460 s: polynomial.eq_of_monic_of_dvd_of_nat_degree_le 0.000101 s: nat.succ_pred_prime 0.001049 s: monoid_algebra.of.equations._eqn_1 0.017028 s: monoid_algebra.mem_span_support 0.001336 s: name.to_string_with_sep._main.equations._eqn_4 0.102059 s: has_fderiv_within_at.clog 0.111508 s: differentiable_within_at.clog 0.000708 s: set.smul_mem_smul_set 0.030363 s: submodule.mem_div_iff_smul_subset 0.002141 s: int.gcd_b._main.equations._eqn_2 0.000179 s: formal_multilinear_series.change_origin_summable_aux_j.equations._eqn_1 0.024684 s: le_Inf_inter 0.006286 s: finsupp.comap_distrib_mul_action._proof_1 0.000717 s: finsupp.comap_distrib_mul_action 0.000143 s: finsupp.comap_distrib_mul_action_self 0.000123 s: snum.nz.inj 0.000108 s: snum.nz.inj_eq 0.000101 s: tactic.norm_fin.normalize_fin_lt.equations._eqn_1 0.001141 s: tactic.norm_fin.normalize_fin_lt.cast_le 0.000825 s: category_theory.single_obj.preadditive._proof_1 0.001872 s: lie_equiv.no_confusion_type 0.004349 s: lie_equiv.no_confusion 0.004075 s: lie_equiv.mk.inj 0.005757 s: lie_equiv.mk.inj_eq 0.004717 s: with_zero.semigroup._match_1.equations._eqn_2 0.000432 s: list.nil_lt_cons 0.000608 s: quotient.lift_on'.equations._eqn_1 0.000334 s: filter.germ.semilattice_sup_bot._proof_2 0.000574 s: filter.germ.semilattice_sup_bot._proof_3 0.000465 s: filter.germ.semilattice_sup_bot._proof_4 0.000525 s: filter.germ.semilattice_sup_bot._proof_6 0.000353 s: filter.germ.semilattice_sup_bot._proof_7 0.000596 s: filter.germ.semilattice_sup_bot._proof_8 0.008445 s: filter.germ.semilattice_sup_bot 0.008843 s: filter.germ.semilattice_sup_bot.equations._eqn_1 0.000080 s: has_inv.rec_on 0.012789 s: category_theory.limits.cocone_equivalence_op_cone_op_functor_map 0.001981 s: linear_map.coe_to_affine_map 0.000133 s: xor.decidable._match_1.equations._eqn_1 0.000303 s: sub_mul_action.set_like.equations._eqn_1 0.000964 s: group_of_is_unit._proof_1 0.004063 s: group_of_is_unit._proof_2 0.002623 s: group_of_is_unit 0.002305 s: is_R_or_C.norm_sq_pos 0.004882 s: pi.add_left_cancel_monoid._proof_5 0.000060 s: tactic.reorder_goals 0.000528 s: tactic.reorder_goals._main.equations._eqn_3 0.000170 s: tactic.reorder_goals.equations._eqn_3 0.000255 s: CpltSepUniformSpace.category.equations._eqn_1 0.005316 s: zmod.inv._main.equations._eqn_2 0.039138 s: differentiable_on.csin 0.001236 s: category_theory.discrete_hom_fintype.equations._eqn_1 0.000026 s: lint_verbosity.high.inj 0.005977 s: parser.mono.nat.equations._eqn_1 0.130079 s: category_theory.SheafOfTypes_bot_equiv._proof_7 0.000304 s: Mon_Type_inhabited 0.000178 s: Mon_Type_inhabited.equations._eqn_1 0.000422 s: con.gi._proof_2 0.000222 s: is_idempotent.drec_on 0.001038 s: inf_left_idem 0.018735 s: generalized_boolean_algebra.sizeof 0.000058 s: generalized_boolean_algebra.has_sizeof_inst 0.000108 s: tactic.mk_mem_name._main.equations._eqn_3 0.002698 s: category_theory.monad.forget_creates_limits.cone_point_A 0.000107 s: function.involutive.eq_iff 0.000315 s: normal_add_subgroup.cases_on 0.150888 s: pre_tilt.integral_domain._proof_9 0.001206 s: znum.of_int'._main.equations._eqn_1 0.108007 s: fraction_map.map._proof_1 0.031675 s: complex.conj_lm.equations._eqn_1 0.016607 s: times_cont_diff_on.continuous_on_iterated_deriv_within 0.003273 s: turing.tape.mk'_left_right₀ 0.030739 s: derivation.semimodule._proof_4 0.008371 s: open_subgroup.coe_subgroup_le 0.112863 s: has_strict_fderiv_at_pi' 0.070084 s: has_strict_fderiv_at_pi 0.000267 s: field.nsmul._default 0.002652 s: list.is_lawful_singleton 0.000754 s: finset.powerset_len_mono 0.000639 s: equiv.preimage_subset 0.009645 s: category_theory.is_split_coequalizer.map_right_section 0.005989 s: linear_ordered_comm_group_with_zero.decidable_eq._default 0.002845 s: linear_ordered_comm_group_with_zero.decidable_eq._default.equations._eqn_1 0.002283 s: category_theory.mono_over.forget.category_theory.full.equations._eqn_1 0.000343 s: simplex_category.truncated.inclusion.equations._eqn_1 0.000168 s: parser.step.rec_on 0.000149 s: equiv.option_is_some_equiv._proof_1 0.000251 s: equiv.option_is_some_equiv._proof_2 0.000560 s: equiv.option_is_some_equiv._proof_3 0.000601 s: equiv.option_is_some_equiv 0.000127 s: filter.has_zero.equations._eqn_1 0.006191 s: subgroup.right_coset_equiv_subgroup._match_1 0.007768 s: subgroup.right_coset_equiv_subgroup._match_1.equations._eqn_1 0.000897 s: category_theory.monad.has_limit_of_comp_forget_has_limit 0.000128 s: category_theory.is_filtered.rec_on 0.004528 s: monoid_hom.comm_monoid.equations._eqn_1 0.000075 s: rsimp.config.cases_on 0.004828 s: continuous_multilinear_map.map_piecewise_smul 0.000391 s: except_t.has_monad_lift.equations._eqn_1 0.001744 s: add_con.comap.equations._eqn_1 0.002093 s: polynomial.derivative_smul 0.000982 s: polynomial.derivative_lhom._proof_2 0.005327 s: parser.step.sat.equations._eqn_1 0.005682 s: topological_vector_bundle.trivialization.continuous_linear_equiv_at_apply 0.000905 s: order_dual.dual_compares 0.001145 s: strict_mono_decr_on.compares 0.000245 s: conj_classes.mk_injective 0.001102 s: is_galois.galois_insertion_intermediate_field_subgroup._proof_3 0.000211 s: Gromov_Hausdorff.aux_gluing._proof_10 0.000446 s: filter.germ.lift_rel.equations._eqn_1 0.000017 s: simps_cfg.trace._default 0.175701 s: function.injective.ordered_ring.equations._eqn_1 0.000533 s: commute.units_of_coe 0.000218 s: string.get_rest 0.000138 s: string.get_rest.equations._eqn_1 0.026899 s: fintype.sum_finset_coe 0.024620 s: with_top.with_bot.bounded_lattice.equations._eqn_1 0.035556 s: filter.comap_sup 1.116041 s: Algebra.limit_π_alg_hom.equations._eqn_1 0.000515 s: filter.tendsto_at_top_of_monotone_of_subseq 0.000424 s: encodable.fintype_arrow 0.006266 s: encodable.fintype_pi 0.007725 s: set.countable_pi 0.003286 s: local_homeomorph.trans_target 0.008119 s: exists_Union_eq_closed_subset 0.002487 s: prod.emetric_space_max.equations._eqn_1 0.000640 s: category_theory.limits.is_initial.epi_to 0.000314 s: category_theory.limits.initial.epi_to 0.000399 s: category_theory.limits.initial.epi_to.equations._eqn_1 0.003777 s: category_theory.functor.map.split_mono._proof_1 0.001388 s: quot.congr_left._proof_1 0.000297 s: quot.congr_left 0.002295 s: int.sign_eq_neg_one_of_neg 0.000438 s: lie_subalgebra.has_bot.equations._eqn_1 0.000394 s: set.inj_on.congr 0.003340 s: set.surj_on.congr 0.000791 s: set.bij_on.congr 0.000500 s: set.eq_on.bij_on_iff 0.000263 s: rbtree.insert._main._proof_1 0.010133 s: tendsto_indicator_of_monotone 0.003114 s: category_theory.equiv_yoneda_hom_app 0.017984 s: algebraic_geometry.PresheafedSpace.to_restrict_top_base_to_fun_coe 0.000964 s: measure_theory.ext_of_generate_finite 0.000169 s: small.drec 0.000922 s: division_ring.sub._default 0.000119 s: reducibility_hints.cases_on 0.000130 s: reducibility_hints.no_confusion_type 0.000435 s: reducibility_hints.no_confusion 0.000188 s: function.inv_fun.equations._eqn_1 0.000341 s: monad_io_file_system.read 0.000099 s: io.fs.read 0.000074 s: buffer.has_append 0.000510 s: io.fs.read_to_end 0.001352 s: with_bot.decidable_lt._main._proof_1 0.000417 s: int.ldiff._main.equations._eqn_1 0.002351 s: lists.equiv._mut_.cases_on 0.002482 s: ring_quot.rel.drec_on 0.001373 s: list.map₂_right'_cons_cons 0.002907 s: mv_polynomial.aeval_id_rename 0.001329 s: is_lawful_applicative.seq_left_eq 0.000656 s: omega.nat.preform.sub_free._main.equations._eqn_5 0.000767 s: category_theory.limits.preserves_limit.sizeof 0.001316 s: category_theory.limits.preserves_limit.mk.sizeof_spec 0.000284 s: set.Ici.semilattice_sup_bot._proof_1 0.000082 s: ereal.linear_order 0.007945 s: ereal.coe_real_lt 0.001290 s: vector.map_accumr₂._main.equations._eqn_1 0.000444 s: vector.map_accumr₂.equations._eqn_1 0.000278 s: category_theory.subobject.iso_of_mk_eq._proof_1 0.000209 s: category_theory.subobject.iso_of_mk_eq._proof_2 0.004470 s: category_theory.subobject.iso_of_mk_eq._proof_3 0.028354 s: category_theory.subobject.of_le_mk_comp_of_mk_le 0.005594 s: category_theory.subobject.iso_of_mk_eq._proof_4 0.001379 s: category_theory.subobject.iso_of_mk_eq 0.002626 s: category_theory.subobject.iso_of_mk_eq.equations._eqn_1 0.027952 s: int.eq_zero_iff_abs_lt_one 0.000113 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_19 0.006505 s: category_theory.symmetric_category.symmetry 0.008748 s: category_theory.monoidal.functor_category_symmetric._proof_1 0.001235 s: polynomial.degree_restriction 0.002556 s: ring_equiv.to_ring_hom_comp_symm_to_ring_hom 0.000810 s: int.coe_nat_ne_coe_nat_iff 0.006337 s: except_t.is_lawful_monad_cont._proof_2 0.001740 s: except_t.goto_mk_label 0.007609 s: except_t.is_lawful_monad_cont._proof_3 0.000690 s: except_t.is_lawful_monad_cont 0.000490 s: except_t.is_lawful_monad_cont.equations._eqn_1 0.000678 s: add_units.vadd_perm.equations._eqn_1 0.000148 s: ADE_inequality.A'.equations._eqn_1 0.000072 s: ADE_inequality.D'.equations._eqn_1 0.000605 s: pnat.coe_bit0 0.000074 s: ADE_inequality.E'.equations._eqn_1 0.531291 s: ADE_inequality.admissible.one_lt_sum_inv 0.035312 s: ideal.quotient_ker_alg_equiv_of_right_inverse.apply 0.000843 s: category_theory.category_of_elements.π_obj 0.005449 s: set.Icc_bot_top 0.005322 s: tensor_product.compatible_smul.cases_on 0.001941 s: tensor_product.compatible_smul.no_confusion_type 0.000884 s: measure_theory.simple_func.add_comm_group._proof_4 0.002207 s: tactic_doc._3809017743 0.098660 s: affine_map.proj_apply 0.001254 s: Top.CommRing_yoneda._proof_6 0.000120 s: algebra.comap.comm_ring 0.015012 s: measure_theory.simple_func.comp.equations._eqn_1 0.000073 s: partition.of_multiset._proof_1 0.000039 s: partition.of_multiset 0.000083 s: partition.of_multiset.equations._eqn_1 0.015998 s: neg_lt_iff_pos_add' 0.000636 s: dense.quotient 0.002406 s: category_theory.functor_thin.equations._eqn_1 0.001314 s: category_theory.monoidal.transport_tensor_obj 0.002172 s: slim_check.test_forall_in_list._match_2.equations._eqn_1 0.003005 s: list.prod_join 0.000616 s: set.image_smul_prod 0.003306 s: pnat.Ico._proof_2 0.000352 s: is_open_induced 0.000352 s: smul_with_zero.no_confusion_type 0.001555 s: topological_space.generate_open.dcases_on 0.001263 s: slim_check.test_result.to_string._main.equations._eqn_4 0.000218 s: slim_check.test_result.to_string.equations._eqn_4 0.001488 s: primrec.vector_of_fn' 0.002935 s: primrec.fin_app 0.000143 s: computable.fin_app 0.003912 s: sum.comp_traverse 0.000720 s: category_theory.is_filtered_or_empty.rec_on 0.006096 s: affine_subspace.le_def' 0.000118 s: ring_hom.int.subsingleton_ring_hom 0.197043 s: polynomial.chebyshev.mul_T 0.070984 s: polynomial.chebyshev.T_mul 0.011010 s: polynomial.comp_assoc 0.000495 s: polynomial.eval₂_congr 0.371971 s: polynomial.dickson_one_one_mul 0.029715 s: norm_num.int_cast_bit0 0.000059 s: ring.has_sizeof_inst 0.002447 s: normed_ring.sizeof 0.002765 s: category_theory.tensor_iso.equations._eqn_1 0.010881 s: normed_field.mk.sizeof_spec 0.000556 s: list.countp._main.equations._eqn_1 0.004925 s: functor.map_equiv._proof_2 0.000262 s: dlist.lazy_of_list.equations._eqn_1 0.002276 s: category_theory.limits.is_limit.equiv_iso_limit_apply 0.000424 s: pos_num.cmp._main.equations._eqn_7 0.000061 s: pos_num.cmp.equations._eqn_7 0.000389 s: bounded_continuous_function.to_Lp_hom._proof_2 0.001267 s: probability_theory.indep_sets.Union 0.000026 s: std.prec.max 0.000023 s: std.prec.max_plus 0.000066 s: std.prec.max_plus.equations._eqn_1 0.005149 s: mv_polynomial.is_homogeneous_X 0.000140 s: state_t.monad_cont 0.000370 s: state_t.bind.equations._eqn_1 0.003515 s: state_t.is_lawful_monad_cont._proof_2 0.000146 s: additive.preorder.equations._eqn_1 0.000346 s: free_abelian_group.pempty_unique.equations._eqn_1 0.000287 s: is_noetherian.cases_on 0.002104 s: category_theory.ulift_functor_full._proof_1 0.000887 s: category_theory.ulift_functor_full 0.000260 s: has_continuous_sub.rec_on 0.001755 s: Top.continuous_local.equations._eqn_1 0.000373 s: parser.mono.many1.equations._eqn_1 0.000195 s: has_inf.mk.inj 0.000065 s: has_inf.mk.inj_arrow 0.003481 s: linear_equiv.to_Module_iso.equations._eqn_1 0.017068 s: inf_sdiff 0.000331 s: set_like.cases_on 0.000189 s: set_like.no_confusion_type 0.000473 s: set_like.no_confusion 0.000239 s: set_like.mk.inj 0.011408 s: multiplicity.pow 0.029028 s: nat.prime.multiplicity_pow 0.000768 s: regular_expression.match_epsilon._main.equations._eqn_6 0.005489 s: sup_sdiff_inf 0.000263 s: ultrafilter.has_mem.equations._eqn_1 0.001746 s: filter.comap_pure 0.007084 s: induced_bot 0.000512 s: discrete_topology_induced 0.016588 s: complex.tanh_neg 0.003122 s: linear_isometry.cases_on 0.000880 s: linear_isometry.no_confusion_type 0.001437 s: linear_isometry.no_confusion 0.003092 s: linear_isometry.mk.inj 0.002277 s: linear_isometry.mk.inj_eq 0.000652 s: list.decidable_pairwise.equations._eqn_1 0.003868 s: normed_group_hom.incl._proof_2 0.008199 s: polynomial.derivative_neg 0.001783 s: function.injective.linear_ordered_field._proof_1 0.001377 s: function.injective.linear_ordered_field._proof_2 0.001090 s: function.injective.linear_ordered_field._proof_3 0.001704 s: function.injective.linear_ordered_field._proof_4 0.001578 s: function.injective.linear_ordered_field._proof_5 0.002600 s: function.injective.linear_ordered_field._proof_6 0.003028 s: function.injective.linear_ordered_field._proof_7 0.002226 s: function.injective.linear_ordered_field._proof_8 0.002427 s: function.injective.linear_ordered_field._proof_9 0.002251 s: function.injective.linear_ordered_field._proof_11 0.002075 s: function.injective.linear_ordered_field._proof_12 0.002753 s: function.injective.linear_ordered_field._proof_13 0.002808 s: function.injective.linear_ordered_field._proof_15 0.001558 s: function.injective.linear_ordered_field._proof_17 0.001472 s: function.injective.linear_ordered_field._proof_18 0.001489 s: function.injective.linear_ordered_field._proof_19 0.003115 s: function.injective.linear_ordered_field._proof_20 0.005114 s: function.injective.linear_ordered_field._proof_21 0.004519 s: function.injective.linear_ordered_field._proof_22 0.002202 s: function.injective.linear_ordered_field._proof_23 0.001171 s: function.injective.linear_ordered_field._proof_24 0.455351 s: function.injective.linear_ordered_field._proof_25 0.471929 s: function.injective.linear_ordered_field._proof_26 0.402068 s: function.injective.linear_ordered_field._proof_27 0.381345 s: function.injective.linear_ordered_field._proof_28 1.230562 s: function.injective.linear_ordered_field 1.341528 s: function.injective.linear_ordered_field.equations._eqn_1 0.012404 s: ordered_comm_monoid.cases_on 0.005914 s: ordered_comm_monoid.no_confusion_type 0.004587 s: ordered_comm_monoid.no_confusion 0.024407 s: real.archimedean._match_1.equations._eqn_1 0.004444 s: linear_map.coe_is_scalar_tower 0.005712 s: linear_map.coe_coe_is_scalar_tower 0.001285 s: finite_cover_nhds_interior 0.001569 s: add_aut.apply_inv_self 0.003172 s: category_theory.adjunction.adjunction_of_equiv_left_hom_equiv 0.041688 s: witt_vector.witt_sub.equations._eqn_1 0.017719 s: witt_polynomial_zero 0.607263 s: witt_vector.witt_sub_zero 0.000667 s: monoid.mfoldl.of_free_monoid 0.008100 s: list.mfoldl_cons 0.007438 s: list.mfoldl_append 0.006442 s: traversable.fold_mfoldl 0.004366 s: traversable.fold_mfoldl.equations._eqn_1 0.000351 s: mv_power_series.nontrivial.equations._eqn_1 0.000546 s: set.is_wf_min_singleton 0.001527 s: function.surjective.comm_semiring._proof_7 0.005209 s: smooth_monoid_morphism.smooth_to_fun 0.001323 s: add_monoid_hom.to_hom_units._proof_1 0.001082 s: add_monoid_hom.to_hom_units._proof_2 0.004661 s: add_monoid_hom.to_hom_units._proof_3 0.004769 s: add_monoid_hom.to_hom_units._proof_4 0.001907 s: add_monoid_hom.to_hom_units 0.001710 s: add_monoid_hom.to_hom_units.equations._eqn_1 0.000416 s: quotient.hrec_on' 0.000631 s: quotient.hrec_on'_mk' 0.000182 s: filter.germ.has_neg.equations._eqn_1 0.025924 s: category_theory.over.construct_products.cones_equiv_counit_iso.equations._eqn_1 0.000548 s: homeomorph.smul_of_ne_zero 0.001601 s: category_theory.pairwise.diagram_map.equations._eqn_4 0.000470 s: triv_sq_zero_ext.fst_inr 0.002498 s: pgame.domineering.shift_up.equations._eqn_1 0.000282 s: inv.is_group_hom 0.012113 s: finset.prod_inv_distrib 0.001356 s: alternating_map.multilinear_map.has_coe.equations._eqn_1 0.000446 s: well_ordering_rel.equations._eqn_1 0.000897 s: is_alg_closure.dcases_on 0.000210 s: buffer.write'._main 0.008663 s: polynomial.chebyshev.map_T 0.000880 s: order.ideal.top_coe 0.000192 s: order.ideal.ext_set_eq 0.000163 s: order.ideal.ext'_iff 0.000876 s: order.ideal.is_proper.ne_top 0.002576 s: order.ideal.is_maximal.is_coatom 0.002091 s: is_coatom.is_maximal 0.000218 s: order.ideal.is_maximal_iff_is_coatom 0.000505 s: monad_writer.no_confusion 0.001832 s: turing.TM1to0.tr_aux._main.equations._eqn_3 0.000409 s: omega.nat.univ_close._main.equations._eqn_2 0.001002 s: multiplicative.has_continuous_mul.equations._eqn_1 0.000168 s: is_linear_order.drec 0.000337 s: prime_spectrum.partial_order 0.000284 s: prime_spectrum.partial_order.equations._eqn_1 0.000652 s: algebraic_geometry.Scheme.Γ.equations._eqn_1 0.000922 s: local_homeomorph.is_image.maps_to 0.000453 s: omega.nat.preform.fresh_index._main.equations._eqn_3 0.000073 s: omega.nat.preform.fresh_index.equations._eqn_3 0.006413 s: support_scale_roots_eq 0.000156 s: category_theory.comm_monoid_of_skeletal_braided._proof_2 0.031877 s: Top.presheaf.sheaf_condition_equalizer_products.fork.iso_of_open_embedding.equations._eqn_1 0.055610 s: fraction_map.num_denom_reduced 0.029564 s: fraction_map.is_unit_denom_of_num_eq_zero 0.000237 s: add_monoid.closure_mono 0.000060 s: category_theory.preadditive.has_sizeof_inst 0.001290 s: category_theory.abelian.sizeof 0.000049 s: category_theory.abelian.has_sizeof_inst 0.000019 s: num.ldiff 0.000214 s: num.ldiff._main.equations._eqn_4 0.000053 s: num.ldiff.equations._eqn_4 0.001634 s: function.embedding.equiv_to_embedding_trans_symm_to_embedding 0.001558 s: equiv.finset_congr._proof_1 0.001751 s: normed_uniform_group.equations._eqn_1 0.006649 s: category_theory.Aut.units_End_equiv_Aut._match_2.equations._eqn_1 0.006948 s: lie_hom.is_ideal_morphism_iff 0.042407 s: quaternion_algebra.conj_smul 0.000508 s: affine.simplex.points_with_circumcenter_index.point_index.sizeof_spec 0.001341 s: slim_check.testable.run_suite_aux._match_1.equations._eqn_4 0.000229 s: acc.cases_on 0.000842 s: tactic.itauto.proof.or_elim.inj 0.012807 s: tactic.itauto.proof.or_elim.inj_eq 0.000047 s: enat.inhabited 0.000033 s: enat.inhabited.equations._eqn_1 0.005189 s: polynomial.monic_restriction 0.001680 s: ideal.quotient_inf_ring_equiv_pi_quotient._proof_1 0.000597 s: pgame.subsequent.dcases_on 0.003115 s: subgroup.eq_top_iff' 0.000068 s: slim_check.total_function.has_repr 0.005904 s: submonoid.localization_map.map_spec 0.000759 s: set.Ici.semilattice_sup_top._proof_4 0.000426 s: category_theory.limits.preserves_colimits.cases_on 0.000311 s: category_theory.limits.preserves_colimits.no_confusion_type 0.000732 s: category_theory.limits.preserves_colimits.no_confusion 0.000443 s: category_theory.limits.preserves_colimits.mk.inj 0.000373 s: category_theory.limits.preserves_colimits.mk.inj_arrow 0.013425 s: finsupp.disjoint_supported_supported_iff 0.005027 s: zsqrtd.le_of_add_le_add_left 0.000366 s: zsqrtd.add_lt_add_left 0.002822 s: galois_coinsertion.u_surjective 0.000135 s: eq_of_eqv_lt 0.000675 s: category_theory.simplicial_object.truncated.category_theory.limits.has_colimits 0.000890 s: semiquot.mem_pure_self 0.000930 s: category_theory.subobject.complete_lattice._proof_12 0.022646 s: complex.exp_multiset_sum 0.000971 s: gpow_of_nat 0.000109 s: function.semiconj.equations._eqn_1 0.000295 s: filter.eventually_le_congr 0.032356 s: hahn_series.summable_family.semimodule._proof_1 0.017422 s: hahn_series.summable_family.semimodule._proof_2 0.029727 s: hahn_series.summable_family.semimodule._proof_3 0.029965 s: hahn_series.summable_family.semimodule._proof_4 0.042542 s: hahn_series.summable_family.semimodule._proof_5 0.042152 s: hahn_series.summable_family.semimodule._proof_6 0.025951 s: hahn_series.summable_family.semimodule 0.026017 s: hahn_series.summable_family.semimodule.equations._eqn_1 0.007155 s: affine_equiv.linear_to_affine_map 0.001232 s: set.to_finset_union 0.000073 s: num.lxor.equations._eqn_4 0.001740 s: surreal.lift₂._match_1.equations._eqn_1 0.000721 s: category_theory.over.over_right 0.000314 s: turing.partrec_to_TM2.Λ'.copy.inj 0.001248 s: category_theory.of_type_functor_map 0.000288 s: lean.githash 0.000156 s: lean.githash.equations._eqn_1 0.000110 s: list.decidable_suffix._main._proof_1 0.000479 s: list.decidable_suffix._main.equations._eqn_1 0.004035 s: category_theory.subobject.map_comp 0.001591 s: category_theory.subobject.map_id 0.002723 s: category_theory.subobject.map_iso_to_order_iso._proof_4 0.010364 s: gpowers_mul_hom._proof_3 0.006837 s: gpowers_mul_hom 0.000133 s: repr.equations._eqn_1 0.267770 s: minpoly.prime 0.022527 s: lie_submodule.sizeof 0.000578 s: lie_submodule.has_sizeof_inst 0.104676 s: Hausdorffification.lift._proof_1 0.094291 s: Hausdorffification.lift 0.093845 s: Hausdorffification.lift.equations._eqn_1 0.026342 s: Top.colimit_cocone_is_colimit.equations._eqn_1 0.000132 s: list.take'._sunfold 0.000734 s: nonarchimedean_ring.to_topological_ring 0.001075 s: nonarchimedean_add_group.is_nonarchimedean 0.000306 s: nonarchimedean_add_group.to_topological_add_group 0.000782 s: open_add_subgroup.sum._proof_1 0.000699 s: open_add_subgroup.sum._proof_3 0.003527 s: open_add_subgroup.sum 0.002067 s: nonarchimedean_add_group.prod.nonarchimedean_add_group._match_1 0.003949 s: nonarchimedean_add_group.prod_subset 0.001933 s: nonarchimedean_add_group.prod.nonarchimedean_add_group 0.002721 s: nonarchimedean_ring.to_nonarchimedean_add_group 0.026600 s: nonarchimedean_ring.prod.nonarchimedean_ring 0.028495 s: nonarchimedean_ring.prod.nonarchimedean_ring.equations._eqn_1 0.004124 s: category_theory.with_initial.lift_to_initial_unique._proof_1 0.002292 s: category_theory.with_initial.lift_to_initial._proof_1 0.000697 s: category_theory.with_initial.lift_to_initial 0.002782 s: category_theory.with_initial.lift_map 0.023101 s: category_theory.with_initial.lift_unique._proof_1 0.007494 s: category_theory.with_initial.lift_unique 0.002700 s: category_theory.with_initial.lift_to_initial_unique._proof_2 0.001855 s: category_theory.with_initial.lift_to_initial_unique 0.004618 s: category_theory.with_initial.lift_to_initial_unique_hom_app 0.000995 s: mv_polynomial.is_homogeneous.coeff_eq_zero 0.001509 s: hahn_series.single_coeff 0.001935 s: pfunctor.approx.truncate._sunfold 0.006475 s: subtype.semilattice_inf.equations._eqn_1 0.000044 s: bitvec.sle 0.000092 s: bitvec.sle.equations._eqn_1 0.000210 s: polynomial.reflect.equations._eqn_1 0.002412 s: polynomial.reflect_support 0.000104 s: measure_theory.measure.absolutely_continuous.refl 0.116108 s: mv_polynomial.is_lawful_monad.equations._eqn_1 0.000198 s: has_andthen.rec_on 0.000089 s: char.valid 0.000830 s: multiples_add_hom.equations._eqn_1 0.000308 s: dlex_linear_order._proof_1 0.000322 s: dlex_linear_order._proof_2 0.017188 s: dlex_linear_order._proof_3 0.000635 s: dlex_linear_order._proof_4 0.011035 s: dlex_linear_order._proof_5 0.000233 s: dlex_linear_order._proof_6 0.000280 s: dlex_linear_order._proof_7 0.000612 s: dlex_linear_order._proof_8 0.004399 s: dlex_linear_order._proof_10 0.000144 s: dlex_linear_order._proof_12 0.000353 s: dlex_linear_order._proof_14 0.005730 s: dlex_linear_order._proof_15 0.002214 s: dlex_linear_order._proof_16 0.001537 s: dlex_linear_order._proof_17 0.005485 s: dlex_linear_order 0.000304 s: function.is_periodic_pt.map 0.049804 s: implicit_function_data.prod_map_implicit_function 0.013429 s: continuous_multilinear_map.comp_continuous_linear_map_apply 0.000483 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main._proof_2 0.044102 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main.equations._eqn_4 0.009849 s: category_theory.limits.comp_nat_iso.equations._eqn_1 0.001438 s: category_theory.limits.reflects_limit_subsingleton 0.001325 s: category_theory.limits.reflects_limits_of_shape_subsingleton 0.001147 s: category_theory.limits.reflects_limits_of_shape_subsingleton.equations._eqn_1 0.002489 s: category_theory.preserves_colimit_of_creates_colimit_and_has_colimit.equations._eqn_1 0.002836 s: uniform_space.core.to_topological_space._match_1.equations._eqn_1 0.000613 s: ordinal.le_lift_iff 0.000856 s: turing.TM1to0.tr._main.equations._eqn_1 0.000425 s: turing.TM1to0.tr.equations._eqn_1 0.001675 s: linear_ordered_comm_monoid_with_zero.decidable_lt._default.equations._eqn_1 0.002374 s: tactic_doc._3605055110 0.003266 s: finset.preimage_empty 0.007103 s: Module.of_self_iso.equations._eqn_1 0.001694 s: polynomial.derivative_C_mul 0.000522 s: semiquot.no_confusion 0.000486 s: semiquot.mk'.inj 0.000316 s: semiquot.mk'.inj_arrow 0.000302 s: pi.conditionally_complete_lattice._proof_1 0.000483 s: category_theory.limits.has_colimits.dcases_on 0.000027 s: function.app 0.003443 s: topological_space.opens.smooth_manifold_with_corners 0.000082 s: topological_vector_bundle.bundle.trivial.add_comm_monoid 0.000127 s: topological_vector_bundle.bundle.trivial.semimodule 0.000069 s: bundle.trivial.topological_space 0.000121 s: bundle.trivial.topological_space.equations._eqn_1 0.000325 s: bundle.trivial.proj_snd.equations._eqn_1 0.000388 s: topological_vector_bundle.trivial_bundle_trivialization._proof_1 0.000230 s: topological_vector_bundle.trivial_bundle_trivialization._proof_2 0.000686 s: topological_vector_bundle.trivial_bundle_trivialization._proof_4 0.000146 s: topological_vector_bundle.trivial_bundle_trivialization._proof_5 0.004560 s: topological_vector_bundle.trivial_bundle_trivialization._proof_7 0.004502 s: topological_vector_bundle.trivial_bundle_trivialization._proof_8 0.009383 s: topological_vector_bundle.trivial_bundle_trivialization._proof_9 0.022587 s: topological_vector_bundle.trivial_bundle_trivialization._proof_10 0.069299 s: topological_vector_bundle.trivial_bundle_trivialization._proof_12 0.042508 s: topological_vector_bundle.trivial_bundle_trivialization 0.022755 s: topological_vector_bundle.trivial_bundle.topological_vector_bundle 0.000063 s: ematch_config.inhabited 0.000490 s: Compactum.forget.faithful 0.000108 s: Compactum.category_theory.concrete_category 0.000720 s: filter.germ.semilattice_inf_top._proof_6 0.002917 s: category_theory.regular_mono.w_assoc 0.000143 s: nat.dvd_add_left 0.002409 s: nat.dvd_add_self_right 0.013902 s: category_theory.reflective.app.category_theory.is_iso.equations._eqn_1 0.000181 s: option_t.sizeof 0.000326 s: computation.parallel.aux2.equations._eqn_1 0.002744 s: list.foldr_map 0.000252 s: computation.parallel.aux2._match_1.equations._eqn_1 0.000633 s: computation.parallel.aux2._match_1.equations._eqn_2 0.000253 s: computation.parallel.aux1._match_1.equations._eqn_1 0.000454 s: computation.parallel.aux1._match_1.equations._eqn_2 0.032222 s: computation.map_parallel 0.000183 s: wseq.map.equations._eqn_1 0.003310 s: wseq.map_id 0.002845 s: computation.map_comp 0.002938 s: computation.map_id 0.003636 s: computation.parallel_rec._proof_3 0.005583 s: localization_map.is_integer_mul 0.000053 s: monad_fail.has_sizeof_inst 0.003078 s: equiv.to_pequiv_trans 0.000223 s: directed_order.rec_on 0.000980 s: category_theory.limits.prod.right_unitor.equations._eqn_1 0.000280 s: equiv.pnat_equiv_nat 0.000234 s: equiv.pnat_equiv_nat.equations._eqn_1 0.048765 s: category_theory.functor.map_cone_whisker._proof_1 0.038518 s: category_theory.functor.map_cone_whisker 0.022749 s: category_theory.functor.map_cone_whisker_inv_hom 0.000850 s: continuous_map.comp.equations._eqn_1 0.000363 s: ordnode.foldr._main.equations._eqn_1 0.000171 s: ordnode.foldr.equations._eqn_1 0.000170 s: list.append_inj_left 0.036450 s: differentiable_at.prod 0.040177 s: has_fderiv_at_snd 0.034847 s: differentiable_at_snd 0.007193 s: differentiable_at.prod_map 0.000139 s: category_theory.has_shift.cases_on 0.000099 s: category_theory.has_shift.no_confusion_type 0.000410 s: category_theory.has_shift.no_confusion 0.000137 s: category_theory.has_shift.mk.inj 0.000101 s: bifunctor.const.equations._eqn_1 0.026254 s: tensor_algebra.algebra_map_inv 0.004925 s: category_theory.limits.biprod.braiding_inv 0.003190 s: normalize_eq 0.001078 s: mvqpf.pi.mvfunctor 0.000267 s: mvqpf.pi.mvfunctor.equations._eqn_1 0.000229 s: category_theory.quotient.no_confusion_type 0.000389 s: category_theory.quotient.no_confusion 0.000338 s: category_theory.quotient.mk.inj 0.000195 s: category_theory.quotient.mk.inj_arrow 0.000214 s: monad_io_file_system.close 0.000042 s: io.fs.close 0.000334 s: decidable.false.equations._eqn_1 0.000458 s: matrix.has_scalar.equations._eqn_1 0.006786 s: complete_distrib_lattice.sizeof 0.013830 s: complete_distrib_lattice.mk.sizeof_spec 0.005305 s: local_homeomorph.eventually_ne_nhds_within 0.001620 s: con_gen.rel.drec 0.000378 s: seq.to_list'._match_1 0.000144 s: seq.to_list'._match_2 0.001171 s: seq.to_list'._match_2.equations._eqn_1 0.000060 s: complete_semilattice_Sup.lt._default 0.005918 s: category_theory.limits.of_iso_comparison 0.133218 s: is_basis.card_le_card_of_linear_independent_aux 0.029845 s: is_basis.card_le_card_of_linear_independent 0.001910 s: submodule.induction_on_rank._proof_1 0.001609 s: matrix.reindex.equations._eqn_1 0.006422 s: typevec.last_fun_of_subtype 0.002258 s: category_theory.lifts_to_limit_of_creates 0.000757 s: category_theory.inhabited_lifts_to_limit 0.000057 s: stream.unfolds 0.000229 s: function.embedding.arrow_congr_left.equations._eqn_1 0.001176 s: is_submonoid.multiset_prod_mem 0.001978 s: is_submonoid.finset_prod_mem 0.000026 s: omega.terms.fresh_index 0.000071 s: omega.terms.fresh_index._sunfold 0.000162 s: linear_order_of_compares._proof_1 0.000772 s: ordering.compares.le_total 0.000121 s: linear_order_of_compares._proof_2 0.000100 s: linear_order_of_compares._proof_4 0.000146 s: linear_order_of_compares._proof_6 0.002622 s: linear_order_of_compares 0.002427 s: linear_order_of_compares.equations._eqn_1 0.001077 s: linear_ordered_comm_ring.decidable_lt._default 0.000880 s: linear_ordered_field.decidable_lt._default 0.003722 s: principal_seg.lt_le_apply 0.002067 s: principal_seg.trans_apply 0.019458 s: subring.mem_closure_iff 0.008140 s: free_monoid.closure_range_of 0.002309 s: submonoid.closure_eq_mrange 0.003276 s: submonoid.exists_list_of_mem_closure 0.018023 s: subring.exists_list_of_mem_closure 0.016650 s: subring.in_closure.rec_on 0.002762 s: fintype.sum_eq_add_sum_compl 0.000857 s: list.repr_aux._main.equations._eqn_4 0.000158 s: list.repr_aux.equations._eqn_4 0.000183 s: pSet.sep.equations._eqn_1 0.045198 s: bernstein_polynomial.eval_at_0 0.006947 s: polynomial.derivative_cast_nat 0.053795 s: bernstein_polynomial.derivative_succ_aux 0.019667 s: bernstein_polynomial.derivative_succ 0.006306 s: polynomial.iterate_derivative_cast_nat_mul 0.002192 s: polynomial.iterate_derivative_sub 0.167881 s: bernstein_polynomial.iterate_derivative_at_0_eq_zero_of_lt 0.006304 s: bernstein_polynomial.iterate_derivative_succ_at_0_eq_zero 0.000530 s: mul_le_of_le_one_of_le' 0.000238 s: mul_lt_of_le_one_of_lt' 0.011090 s: category_theory.Mat_.embedding.category_theory.full._proof_1 0.001737 s: category_theory.Mat_.embedding.category_theory.full 0.001671 s: category_theory.Mat_.embedding.category_theory.full.equations._eqn_1 0.001496 s: free_add_magma.repr._main.equations._eqn_2 0.000166 s: free_add_magma.repr.equations._eqn_2 0.004545 s: continuous_linear_map.times_cont_mdiff 0.000490 s: padic_int.has_mul._match_2.equations._eqn_1 0.001022 s: finset.inter_left_comm 0.002077 s: ext_chart_at_continuous_at 0.022988 s: times_cont_mdiff_at_ext_chart_at 0.000101 s: preirreducible_space.is_preirreducible_univ 0.000105 s: preirreducible_space.preconnected_space 0.000076 s: irreducible_space.to_nonempty 0.000129 s: irreducible_space.connected_space 0.000138 s: irreducible_space.connected_space.equations._eqn_1 0.037414 s: ring.is_fractional.equations._eqn_1 0.001200 s: localization.away.mk_eq_monoid_of_mk' 0.011578 s: dfinsupp.mk_zero 0.002198 s: direct_sum.mk._proof_1 0.000111 s: ordset.inhabited 0.259171 s: category_theory.lax_monoidal_functor.map_Mon.equations._eqn_1 0.189781 s: polynomial.wf_dvd_monoid.equations._eqn_1 0.109855 s: convex_on.translate_right 0.001035 s: topological_add_group.has_measurable_neg.equations._eqn_1 0.019212 s: real.cos_add_two_pi 0.000177 s: pSet.has_mem.equations._eqn_1 0.000895 s: order_of_eq_prime 0.001153 s: dihedral_group.sr_mul_sr 0.002038 s: dihedral_group.sr_mul_self 0.002817 s: dihedral_group.order_of_sr 0.000231 s: is_coatom.equations._eqn_1 0.000270 s: add_zero_class.to_is_right_id 0.000436 s: list.func.pointwise._sunfold 0.000059 s: complete_distrib_lattice.has_sizeof_inst 0.000055 s: list.fill_nones 0.000148 s: list.fill_nones.equations._eqn_1 0.003304 s: filter.unbounded_of_tendsto_at_top' 0.003050 s: category_theory.sum.associator._match_2.equations._eqn_1 0.000154 s: Top.inhabited_local_predicate 0.000274 s: turing.to_partrec.code.comp.inj_eq 0.000129 s: right_coset_equivalence.equations._eqn_1 0.001506 s: add_con.ker_apply_eq_preimage 0.001188 s: measure_theory.measure.pi_Ioo_ae_eq_pi_Icc 0.002255 s: measure_theory.measure.univ_pi_Ioo_ae_eq_Icc 0.005610 s: real.volume_pi_Ioo 0.013066 s: universal_enveloping_algebra.inhabited 0.001922 s: finsupp.add_zero_class._match_2.equations._eqn_1 0.000654 s: with_top.preorder.equations._eqn_1 0.001922 s: category_theory.limits.pullback_cone.of_cone.equations._eqn_1 0.000699 s: con_gen.rel.cases_on 0.000022 s: pos_num.shiftl 0.000073 s: num.shiftl._main 0.000011 s: num.shiftl 0.003035 s: linear_isometry_equiv.trans.equations._eqn_1 0.007750 s: category_theory.Ran.cone.equations._eqn_1 0.001464 s: euclidean_geometry.angle_eq_left 0.005343 s: category_theory.nat_trans.ext_iff 0.000129 s: int.odd.of_mul_right 0.000638 s: connected_components_lift_unique' 0.000043 s: category_theory.limits.walking_pair.sizeof 0.000050 s: category_theory.limits.walking_pair.left.sizeof_spec 0.000018 s: format.color.grey.inj 0.000188 s: category_theory.preserves_finite_products_of_preserves_binary_and_terminal._proof_1 0.052373 s: category_theory.limits.preserves_limits_of_shape_of_equiv._proof_1 0.030208 s: category_theory.limits.preserves_limits_of_shape_of_equiv 0.030343 s: category_theory.limits.preserves_limit_of_iso_diagram._proof_1 0.012297 s: category_theory.limits.preserves_limit_of_iso_diagram 0.050299 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main 0.000439 s: category_theory.preserves_fin_of_preserves_binary_and_terminal 0.008237 s: category_theory.preserves_ulift_fin_of_preserves_binary_and_terminal 0.000823 s: category_theory.preserves_finite_products_of_preserves_binary_and_terminal 0.000835 s: category_theory.preserves_finite_products_of_preserves_binary_and_terminal.equations._eqn_1 0.000058 s: num.decidable_prime 0.000576 s: num.decidable_prime.equations._eqn_2 0.000634 s: division_ring.div._default 0.000514 s: parser.bounded.map.equations._eqn_1 0.000188 s: nat.add._main.equations._eqn_2 0.000327 s: lcm_dvd_lcm 0.000461 s: lcm_eq_of_associated_left 0.002591 s: multiset.lcm_erase_dup 0.001812 s: multiset.lcm_ndinsert 0.005503 s: subalgebra.coe_neg 0.000842 s: set.Ici_diff_Ioi 0.001419 s: fin.comp_tail 0.000044 s: nonote.equations._eqn_1 0.000046 s: nonote.decidable_eq._proof_1 0.001463 s: category_theory.mono_over.slice._proof_3 0.069157 s: option_t.is_lawful_monad.equations._eqn_1 0.000315 s: omega.nat.canonize._sunfold 0.113176 s: asymptotics.is_equivalent.tendsto_at_bot 0.138975 s: polynomial.tendsto_at_bot_of_leading_coeff_nonpos 0.014414 s: lie_module.is_irreducible.drec_on 0.000327 s: monad_writer_adapter.cases_on 0.000202 s: monad_writer_adapter.no_confusion_type 0.000629 s: monad_writer_adapter.no_confusion 0.000414 s: monad_writer_adapter.mk.inj 0.000218 s: monad_writer_adapter.mk.inj_arrow 0.120479 s: lie_ideal.hom_of_le.equations._eqn_1 0.009355 s: free_magma.monad.equations._eqn_1 0.000538 s: normed_group_hom.to_fun_eq_coe 0.006256 s: Algebra.of_self_iso._proof_1 0.004026 s: Algebra.of_self_iso._proof_2 0.024748 s: Algebra.of_self_iso 0.000242 s: filter_basis.inhabited._proof_1 0.000245 s: filter_basis.inhabited 0.000058 s: filter.nat.inhabited_countable_filter_basis._proof_1 0.001678 s: category_theory.concrete_category.has_coe_to_fun.equations._eqn_1 0.011148 s: filter.eventually_le.inter 0.004384 s: filter.eventually_le.compl 0.001772 s: filter.eventually_le.diff 0.000221 s: onote.repr'._sunfold 0.000333 s: subalgebra_of_is_subring.equations._eqn_1 0.000555 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_1 0.000326 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_2 0.000262 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_3 0.000124 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_4 0.000285 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_5 0.046264 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_6 0.007428 s: quotient_add_group.equiv_quotient_of_eq._proof_1 0.051350 s: quotient_add_group.equiv_quotient_of_eq._proof_3 0.056969 s: quotient_add_group.equiv_quotient_of_eq._proof_4 0.034514 s: quotient_add_group.equiv_quotient_of_eq._proof_5 0.033126 s: quotient_add_group.equiv_quotient_of_eq 0.047642 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_7 0.016187 s: add_subgroup.comap_subtype_inf_left 0.008925 s: add_monoid_hom.comap_ker 0.027441 s: quotient_add_group.ker_mk 0.018581 s: add_subgroup.comap_comap 0.007642 s: add_subgroup.coe_inclusion 0.004531 s: add_subgroup.subtype_comp_inclusion 0.060828 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_8 0.013253 s: quotient_add_group.quotient_ker_equiv_of_surjective._proof_1 0.001528 s: quotient_add_group.quotient_ker_equiv_of_surjective 0.002144 s: _private.2245039065.add_normal_aux._proof_1 0.005489 s: _private.2245039065.add_normal_aux._match_1 0.001796 s: _private.2245039065.add_normal_aux._match_2 0.000613 s: _private.2245039065.add_normal_aux._proof_2 0.003131 s: _private.2245039065.add_normal_aux._match_3 0.000983 s: _private.2245039065.add_normal_aux._proof_3 0.001118 s: _private.2245039065.add_normal_aux 0.029937 s: add_subgroup.closure_add_le 0.023606 s: add_subgroup.sup_eq_closure 0.019478 s: add_subgroup.add_normal 0.044033 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient._proof_9 0.034919 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient 0.036170 s: quotient_add_group.quotient_inf_equiv_sum_normal_quotient.equations._eqn_1 0.015517 s: homeomorph.mul_left_symm 0.086198 s: nat.arithmetic_function.prod_eq_iff_prod_pow_moebius_eq 0.081975 s: real.smooth_transition.lt_one_of_lt_one 0.397690 s: times_cont_diff_bump_of_inner.lt_one_of_lt_dist 0.001233 s: ordnode.real_size._main.equations._eqn_2 0.000956 s: ordnode.valid.size_eq 0.031664 s: semi_normed_add_torsor.cases_on 0.000509 s: semi_normed_add_torsor.no_confusion_type 0.000204 s: ordnode.find_ge_aux._match_1.equations._eqn_2 0.013326 s: ordered_comm_group.mk.inj 0.016667 s: ordered_comm_group.mk.inj_arrow 0.077103 s: continuous_map.to_Lp_def 0.001244 s: unit_interval.le_one 0.071786 s: localization_map.ring_equiv_of_ring_equiv.equations._eqn_1 0.030873 s: one_div_mul_add_mul_one_div_eq_one_div_add_one_div 0.000078 s: turing.partrec_to_TM2.tr_cfg 0.000632 s: turing.partrec_to_TM2.tr_cfg._main.equations._eqn_2 0.000506 s: turing.partrec_to_TM2.tr_cfg.equations._eqn_2 0.004664 s: category_theory.is_preconnected.drec 0.005881 s: category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left_symm' 0.001169 s: add_equiv.map_neg 0.001649 s: star_neg 0.000942 s: closed_embedding.closed_iff_preimage_closed 0.011731 s: tensor_algebra.lift.equations._eqn_1 0.001593 s: summable.prod_factor 0.005765 s: tsum_prod 0.000545 s: category_theory.Lan.equiv._proof_1 0.001833 s: category_theory.Lan._proof_1 0.000358 s: category_theory.Lan.equiv._proof_2 0.000513 s: category_theory.Lan.equiv._proof_3 0.000426 s: category_theory.Lan.equiv._proof_4 0.002026 s: category_theory.costructured_arrow.mk_hom_eq_self 0.058991 s: category_theory.Lan.equiv._proof_5 0.000627 s: category_theory.Lan.equiv._proof_6 0.225144 s: category_theory.Lan.equiv._proof_8 0.683593 s: category_theory.Lan.equiv._proof_9 0.048898 s: category_theory.Lan.equiv 0.028199 s: category_theory.Lan._proof_3 0.006890 s: category_theory.Lan 0.026114 s: category_theory.Lan_obj_map 0.011628 s: category_theory.limits.limit_functorial.equations._eqn_1 0.000039 s: decidable.is_false.inj 0.000128 s: Top.sheaf.forget._proof_1 0.000049 s: Top.sheaf.category_theory.category._proof_1 0.000065 s: Top.sheaf.category_theory.category._proof_2 0.000053 s: Top.sheaf.category_theory.category._proof_3 0.000360 s: Top.sheaf.category_theory.category 0.000091 s: Top.sheaf.forget._proof_2 0.000059 s: Top.sheaf.forget._proof_3 0.000050 s: Top.sheaf.forget._proof_4 0.000606 s: Top.sheaf.forget 0.000671 s: Top.sheaf.forget.full 0.000298 s: tactic.suggest.head_symbol_match.to_string._main.equations._eqn_1 0.000065 s: tactic.suggest.head_symbol_match.to_string.equations._eqn_1 0.000540 s: free_group.free_group_empty_equiv_unit._proof_1 0.000051 s: monad_writer.has_sizeof_inst 0.000121 s: equiv.pempty_prod._match_1.equations._eqn_1 0.002802 s: rack.to_envel_group.map._proof_2 0.004761 s: rack.to_envel_group.map._proof_3 0.031322 s: rack.to_envel_group.map._proof_5 0.016696 s: rack.to_envel_group.map 0.004975 s: rack.ad_conj 0.001946 s: rack.to_conj 0.000519 s: rack.envel_action 0.000623 s: rack.envel_action.equations._eqn_1 0.000193 s: parser.many_char1.equations._eqn_1 0.006821 s: continuous_map.smul_comp 0.001226 s: mv_polynomial.eval₂_hom_zero' 0.000149 s: rel_embedding.inhabited 0.000085 s: rel_embedding.inhabited.equations._eqn_1 0.000789 s: valuation.map._proof_1 0.000553 s: valuation.map._proof_2 0.001610 s: valuation.map._proof_4 0.002677 s: valuation.map 0.000746 s: add_valuation.map._proof_1 0.000602 s: add_valuation.map._proof_2 0.005827 s: add_valuation.map._proof_3 0.029533 s: add_valuation.map 0.031785 s: add_valuation.map.equations._eqn_1 0.007745 s: add_monoid_algebra.algebra.equations._eqn_1 0.000379 s: left_cancel_semigroup.no_confusion_type 0.000141 s: nonote.has_zero.equations._eqn_1 0.004382 s: free_group.pure_bind 0.000155 s: polynomial.trailing_monic.def 0.005559 s: localization_map.map.equations._eqn_1 0.000967 s: add_cancel_monoid.sizeof 0.000038 s: add_cancel_monoid.has_sizeof_inst 0.001641 s: finsupp.curry 0.003107 s: finsupp.support_curry 0.000104 s: bitvec.uborrow.equations._eqn_1 0.000519 s: AddCommGroup.colimits.prequotient.ibelow 0.001375 s: AddCommGroup.colimits.prequotient.binduction_on 0.001504 s: subalgebra.subsingleton_of_subsingleton 0.002601 s: subring.coe_eq_zero_iff 0.000590 s: list.is_prefix_of._main 0.000581 s: list.is_prefix_of._main.equations._eqn_2 0.000205 s: hahn_series.multiplicative.linear_ordered_comm_group._proof_3 0.000240 s: rbnode.rec_on 0.000099 s: AddGroup.has_zero 0.003032 s: AddGroup.has_zero_object._proof_1 0.000843 s: AddGroup.has_zero_object._proof_2 0.000779 s: AddGroup.has_zero_object 0.000822 s: AddGroup.has_zero_object.equations._eqn_1 0.000815 s: submodule.is_principal.rec_on 0.000731 s: norm_num.rat_cast_ne 0.018351 s: bilin_form.add_comm_group.equations._eqn_1 0.000283 s: monad_io_net_system.close 0.000046 s: io.net.close 0.000045 s: io.net.close.equations._eqn_1 0.000027 s: vm_obj_kind.environment.inj 0.000051 s: vm_obj_kind.environment.inj_arrow 0.008808 s: ring_equiv.of_left_inverse._match_1 0.003371 s: ring_equiv.of_left_inverse._proof_1 0.001416 s: vector.tail_nil 0.000040 s: fp.float.is_finite 0.000182 s: fp.float.is_finite._main.equations._eqn_1 0.000034 s: fp.float.is_finite.equations._eqn_1 0.004175 s: lie_add_group.rec_on 0.000662 s: is_complete.equations._eqn_1 0.001125 s: set.nonempty_of_not_subset 0.000611 s: set.nonempty_of_ssubset 0.000233 s: set.zero_mem_zero 0.000082 s: with_zero.lattice 0.000083 s: snum.neg.equations._eqn_1 0.000129 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_16 0.000135 s: integral_domain.nsmul._default 0.000256 s: integral_domain.nsmul._default.equations._eqn_1 0.000454 s: pos_num.lxor._main.equations._eqn_5 0.000056 s: pos_num.lxor.equations._eqn_5 0.003707 s: continuous_linear_map.nonlinear_right_inverse.cases_on 0.002471 s: continuous_linear_map.nonlinear_right_inverse.no_confusion_type 0.002410 s: continuous_linear_map.nonlinear_right_inverse.no_confusion 0.004026 s: continuous_linear_map.nonlinear_right_inverse.mk.inj 0.002586 s: continuous_linear_map.nonlinear_right_inverse.mk.inj_arrow 0.001673 s: int.modeq.modeq_add_cancel_right 0.000364 s: int.of_nat_succ 0.001026 s: TopCommRing.forget_topological_ring 0.000713 s: TopCommRing.forget_topological_ring.equations._eqn_1 0.000953 s: sup_sdiff_symm 0.003036 s: filter.realizer.of_filter._match_3 0.000711 s: filter.realizer.of_filter._match_4 0.003374 s: complex.sinh_add_cosh 0.000980 s: real.sinh_add_cosh 0.026171 s: nat.is_coprime_iff_coprime 0.000217 s: has_sep.no_confusion_type 0.000499 s: has_sep.no_confusion 0.000142 s: has_sep.mk.inj 0.006846 s: group_with_zero.mul_right_injective 0.001391 s: category_theory.comp_hom_eq_id 0.007561 s: category_theory.is_iso_unit_obj 0.008585 s: category_theory.functor.ess_image.unit_is_iso 0.013043 s: universal_enveloping_algebra.equations._eqn_1 0.000042 s: tactic.dsimp_config.iota._default.equations._eqn_1 0.005784 s: add_group.image_closure 0.002857 s: finset.coe_bUnion 0.002611 s: finset.disjoint_iff_disjoint_coe 0.000821 s: finsum_eq_sum_of_fintype 0.007552 s: finsum_mem_Union 0.004185 s: finsum_mem_bUnion 0.004411 s: nat.div_le_iff_le_mul_add_pred 0.000147 s: discrete_topology.rec_on 0.000112 s: slim_check.int_ge.sampleable._match_1 0.000207 s: int.lcm_zero_right 0.001819 s: continuous_map_has_scalar.equations._eqn_1 0.000633 s: is_max_filter.add 0.013780 s: is_max_filter.sub 0.000699 s: is_local_max.sub 0.002078 s: set.add_comm 0.009022 s: ideal.jacobson.is_maximal 0.001617 s: linear_map.unique_of_left.equations._eqn_1 0.000104 s: has_zero.no_confusion_type 0.000251 s: has_zero.no_confusion 0.000149 s: has_zero.mk.inj 0.000062 s: has_zero.mk.inj_arrow 0.043068 s: has_deriv_at.cexp 0.047914 s: deriv_cexp 0.000292 s: category_theory.limits.has_binary_biproducts.drec 0.000890 s: rbnode.ins._main.equations._eqn_1 0.000149 s: rbnode.ins.equations._eqn_1 0.000281 s: typevec.arrow.inhabited 0.000471 s: typevec.arrow.inhabited.equations._eqn_1 0.000429 s: alist.mk.inj_arrow 0.000431 s: small_prod 0.011011 s: order_of_add_submonoid 0.000771 s: set.fintype_image.equations._eqn_1 0.014841 s: complex.of_real_lm.equations._eqn_1 0.001850 s: category_theory.center.forget_to_lax_monoidal_functor_to_functor_obj 0.001616 s: algebra.linear_map.equations._eqn_1 0.003607 s: category_theory.prod_preserves_connected_limits.forget_cone_π 0.002840 s: continuous_linear_map.nonlinear_right_inverse.rec_on 0.000652 s: equiv.perm.sign_aux3.equations._eqn_1 0.000628 s: pi.star_ring._proof_1 0.027175 s: pi.star_ring._proof_2 0.012881 s: pi.star_ring 0.006453 s: pi.star_algebra._proof_1 0.000362 s: with_top.coe_eq_one 0.000798 s: with_top.one_eq_coe 0.040944 s: slope_def_field 0.000887 s: ordinal.type_lt 0.000161 s: regular_expression.match_epsilon._sunfold 0.014653 s: 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padic_norm.values_discrete 0.094498 s: padic_seq.norm_nonzero_of_not_equiv_zero 0.081375 s: padic_seq.norm_eq_norm_app_of_nonzero 0.084206 s: padic_seq.norm_values_discrete 0.149829 s: padic_seq.eq_zero_iff_equiv_zero 0.155693 s: padic_seq.ne_zero_iff_nequiv_zero 0.155618 s: padic_norm_e.image 0.142152 s: padic_norm_e.is_rat 0.000254 s: padic_norm_e.rat_norm 0.000221 s: padic_norm_e.eq_rat_norm 0.022247 s: linear_map.pi_ext_iff 0.000073 s: hyperreal.epsilon 0.000063 s: hyperreal.epsilon.equations._eqn_1 0.025779 s: category_theory.adjunction.to_comonad.equations._eqn_1 0.000438 s: fintype.of_list._proof_1 0.000281 s: fintype.of_list 0.000197 s: fintype.of_list.equations._eqn_1 0.011985 s: linear_equiv.symm_symm 0.001845 s: turing.TM2to1.tr._main 0.001276 s: turing.TM2to1.tr._main.equations._eqn_3 0.007997 s: add_subgroup.to_add_comm_group.equations._eqn_1 0.001007 s: add_localization.induction_on₂ 0.011914 s: galois_coinsertion.u_sup_l 0.067040 s: submonoid.comap_sup_map_of_injective 0.000154 s: prod.to_sigma._sunfold 0.000600 s: rbnode.mem._main.equations._eqn_1 0.000135 s: rbnode.mem.equations._eqn_1 0.000509 s: free_abelian_group.map.equations._eqn_1 0.020021 s: submonoid.localization_map.map_comp 0.000791 s: category_theory.subobject.complete_lattice._proof_5 0.000420 s: matrix.add_group.equations._eqn_1 0.000242 s: dmatrix.add_group 0.041513 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_8 0.000454 s: Group.forget₂_Mon_preserves_limits._proof_1 0.000691 s: Group.forget₂_Mon_preserves_limits 0.000335 s: Group.forget₂_Mon_preserves_limits.equations._eqn_1 0.000375 s: int.lt_add_one_of_le 0.000054 s: has_fix.has_sizeof_inst 0.000523 s: lawful_fix.sizeof 0.005689 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main._proof_8 0.000158 s: topological_space.separable_space.cases_on 0.000239 s: denumerable.sum 0.000374 s: denumerable.sum.equations._eqn_1 0.118229 s: subalgebra.eq_bot_of_dim_one 0.000222 s: int.shift2._main.equations._eqn_1 0.076097 s: order_dual.ordered_add_comm_group.equations._eqn_1 0.023802 s: inv_mul_le_iff_le_mul 0.003631 s: mul_inv_le_iff_le_mul' 0.002889 s: category_theory.pretopology.of_grothendieck.equations._eqn_1 0.044626 s: function.injective.linear_ordered_comm_group._proof_3 0.000678 s: measure_theory.has_no_atoms.drec_on 0.006845 s: comm_monoid_with_zero.sizeof 0.004129 s: matrix.alg_hom_map_zero 0.001120 s: category_theory.limits.colimit_of_terminal 0.002728 s: category_theory.limits.colimit_of_terminal.equations._eqn_1 0.005785 s: category_theory.prod.symmetry_inv_app 0.112050 s: has_deriv_at.lhopital_zero_nhds_right 0.102097 s: deriv.lhopital_zero_nhds_right 0.000265 s: pgame.domineering.move_right.equations._eqn_1 0.028379 s: filter.germ.lattice.equations._eqn_1 0.000155 s: onote.top_below._main.equations._eqn_2 0.000064 s: onote.top_below.equations._eqn_2 0.000467 s: lower_bounds_le_upper_bounds 0.000367 s: le_of_is_lub_le_is_glb 0.000312 s: set.subsingleton_of_is_lub_le_is_glb 0.000887 s: is_glb_lt_is_lub_of_ne 0.002826 s: finset.min'_lt_max' 0.000149 s: subsingleton.drec 0.000852 s: tactic.decl_reducibility.decidable_eq 0.001819 s: Mod.id_hom' 0.002227 s: not_small_type 0.000253 s: with_bot.decidable_lt._main._proof_4 0.000114 s: rsimp.config.attr_name._default 0.000114 s: bool.has_repr 0.002269 s: differentiable_within_at.fst 0.000080 s: pos_num.lxor.equations._eqn_7 0.004536 s: semilattice_inf_bot_of_bounded_lattice.equations._eqn_1 0.000648 s: continuous_map.normed_algebra._proof_1 0.000022 s: tactic.simp_config.canonize_proofs._default 0.000029 s: tactic.simp_config.canonize_proofs._default.equations._eqn_1 0.002139 s: ideal.quotient_inf_ring_equiv_pi_quotient._proof_5 0.004224 s: continuous_linear_equiv.skew_prod._proof_1 0.004323 s: continuous_linear_equiv.skew_prod._proof_2 0.003725 s: continuous_linear_equiv.skew_prod._proof_4 0.014292 s: continuous_linear_equiv.skew_prod._proof_5 0.010684 s: continuous_linear_equiv.skew_prod._proof_6 0.012556 s: continuous_linear_equiv.skew_prod 0.018200 s: continuous_linear_equiv.skew_prod.equations._eqn_1 0.000801 s: set.Union_mul_left_image 0.001815 s: is_open_map_mul_left 0.004200 s: is_open.mul_left 0.007094 s: continuous_linear_map.proj_ker_of_right_inverse.equations._eqn_1 0.001506 s: category_theory.differential_object.sizeof 0.000296 s: hahn_series.has_zero.equations._eqn_1 0.000170 s: pfunctor.approx.cofix_a.ibelow 0.015282 s: CommRing.colimits.relation.drec_on 0.000199 s: tactic.interactive.case_tag.to_string.equations._eqn_2 0.000187 s: option_t.mk.sizeof_spec 0.019820 s: filter.realizer.bind._match_4 0.004694 s: filter.realizer.bind._match_5 0.001280 s: filter.realizer.bind._proof_1 0.005238 s: filter.realizer.bind._match_8 0.017874 s: filter.realizer.bind._proof_3 0.004262 s: filter.realizer.bind 0.004784 s: category_theory.shrink_homs.functor_map 0.000400 s: psigma.decidable_eq._sunfold 0.000182 s: is_add_hom.id 0.000200 s: is_add_group_hom.id 0.496910 s: generalized_continued_fraction.determinant_aux 0.034177 s: generalized_continued_fraction.determinant 0.000153 s: seq1.inhabited 0.000216 s: seq1.inhabited.equations._eqn_1 0.368839 s: clifford_algebra.reverse_involute_commute 0.052856 s: clifford_algebra.reverse_involute 0.000397 s: triv_sq_zero_ext.has_add.equations._eqn_1 0.000592 s: onote.decidable_top_below.equations._eqn_1 0.009849 s: model_with_corners.no_confusion 0.003946 s: model_with_corners.mk.inj 0.057799 s: category_theory.functor.map_differential_object.equations._eqn_1 0.026796 s: polynomial.span_le_of_coeff_mem_C_inverse 0.018056 s: polynomial.mem_span_C_coeff 0.002232 s: polynomial.exists_coeff_not_mem_C_inverse 0.000107 s: option.pmap 0.000472 s: option.pmap._main.equations._eqn_1 0.000456 s: option.pmap.equations._eqn_1 0.000189 s: option.pmap._main._proof_1 0.000574 s: option.pmap._main.equations._eqn_2 0.000290 s: option.pmap.equations._eqn_2 0.002968 s: option.map_pmap 0.005793 s: linear_map.mk₂_apply 0.000115 s: additive.ordered_add_comm_group._proof_9 0.001190 s: category_theory.preimage_iso_inv 0.005672 s: gcd_monoid_of_gcd.equations._eqn_1 0.000063 s: continuous_groupoid 0.000086 s: structure_groupoid.order_top._proof_1 0.000094 s: structure_groupoid.order_top._proof_2 0.000453 s: structure_groupoid.order_top._proof_3 0.000239 s: structure_groupoid.order_top._proof_4 0.002496 s: structure_groupoid.order_top 0.000258 s: filter.eventually_eq.is_local_max_iff 0.000724 s: equiv.set.congr 0.000594 s: equiv.set.congr_symm_apply 0.001434 s: equiv.set_forall_iff 0.003459 s: continuous.C.equations._eqn_1 0.000248 s: continuous_on_fst 0.000196 s: continuous_on_snd 0.000857 s: continuous_on_div 0.001066 s: comm_ring.sub._default.equations._eqn_1 0.002143 s: _private.1748511589.rand_nat_aux._match_1.equations._eqn_1 0.001623 s: exists_quadratic_eq_zero 0.092922 s: complex.cos_surjective 0.000347 s: complex.sin_surjective 0.172598 s: _private.2698966527.calc_eval_z'_norm.equations._eqn_1 0.000334 s: nat.shiftl_zero 0.102977 s: has_deriv_at_filter_pi 0.019612 s: submodule.coe_supr_of_chain 0.067274 s: mv_polynomial.map_alg_equiv_symm 0.000278 s: filter.functor.equations._eqn_1 0.014786 s: option.pmap_eq_some_iff 0.098994 s: multiset.abs_sum_le_sum_abs 0.022318 s: field_of_is_unit_or_eq_zero._proof_9 0.000759 s: measure_theory.simple_func.sizeof 0.000405 s: parser.step.ch.equations._eqn_1 0.002293 s: slim_check.injective_function.shrink_perm._main._proof_2 0.000721 s: asymptotics.is_O_comm 0.000379 s: slim_check.nat_le.sampleable._match_1._proof_1 0.001793 s: slim_check.nat_le.sampleable._match_1.equations._eqn_1 0.001193 s: turing.reaches₁_fwd 0.000095 s: fin.lt.equations._eqn_1 0.005897 s: canonically_linear_ordered_add_monoid.cases_on 0.004936 s: canonically_linear_ordered_add_monoid.no_confusion_type 0.003760 s: canonically_linear_ordered_add_monoid.no_confusion 0.013919 s: canonically_linear_ordered_add_monoid.mk.inj 0.031755 s: multilinear_map.curry_fin_finset_symm_apply_const 0.000177 s: relation.comp.equations._eqn_1 0.000775 s: measure_theory.simple_func.nearest_pt_ind_zero 0.037208 s: measure_theory.simple_func.nearest_pt_ind_le 0.079446 s: category_theory.functor.map_cone_inv_map_cone 0.000344 s: con.has_mem 0.000316 s: con.has_mem.equations._eqn_1 0.000344 s: category_theory.with_terminal.star_terminal.equations._eqn_1 0.038686 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_5 0.001124 s: lists.subset.decidable._main.equations._eqn_1 0.005275 s: circle_def 0.001887 s: category_theory.with_initial.category_theory.category.equations._eqn_1 0.000553 s: order.is_pfilter.to_pfilter.equations._eqn_1 0.000594 s: semi_normed_add_torsor.sizeof 0.000205 s: vector.reverse 0.168681 s: continuous_linear_map.extend_to_𝕜.equations._eqn_1 0.000328 s: set.countable.to_encodable.equations._eqn_1 0.000109 s: vector.last 0.000132 s: vector.last_def 0.000407 s: vector.to_list_reverse 0.030997 s: list.nth_le_reverse_aux1 0.012842 s: list.nth_le_reverse_aux2 0.000226 s: list.nth_le_reverse 0.012446 s: vector.reverse_nth_zero 0.002145 s: category_theory.lifts_to_limit.cases_on 0.001095 s: finsupp.add_comm_monoid._match_2.equations._eqn_1 0.074091 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso._proof_2 0.101038 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso._proof_3 0.106969 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso._proof_4 0.100994 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso 0.096139 s: Top.presheaf.sheaf_condition.pairwise_diagram_iso.equations._eqn_1 0.000265 s: primrec_pred.equations._eqn_1 0.000059 s: function.embedding.some 0.000098 s: function.embedding.some.equations._eqn_1 0.000252 s: polynomial.has_separable_contraction.degree 0.013572 s: polynomial.is_separable_contraction.dvd_degree' 0.000370 s: polynomial.has_separable_contraction.dvd_degree' 0.008071 s: polynomial.has_separable_contraction.eq_degree 0.005534 s: polynomial.expand_injective 0.121154 s: polynomial.contraction_degree_eq_aux 0.080632 s: polynomial.contraction_degree_eq_or_insep 0.075376 s: polynomial.is_separable_contraction.degree_eq 0.009548 s: lazy_list.decidable_eq._match_1._proof_1 0.000724 s: lazy_list.decidable_eq._match_1.equations._eqn_1 0.001063 s: ultrafilter.comap.equations._eqn_1 0.002807 s: category_theory.normal_mono.no_confusion_type 0.003002 s: category_theory.normal_mono.no_confusion 0.003850 s: category_theory.normal_mono.mk.inj 0.001640 s: category_theory.normal_mono.mk.inj_arrow 0.000035 s: tactic.explode.status.has_sizeof_inst 0.041696 s: linear_map.to_matrix_alg_equiv_range 0.008998 s: real.tan_order_iso.equations._eqn_1 0.004346 s: Module.colimits.desc_fun_lift._main.equations._eqn_5 0.011856 s: dfinsupp.lapply.equations._eqn_1 0.003062 s: fin.find._main 0.000049 s: fin.find 0.000830 s: fin.find._sunfold 0.000452 s: Set.pair_sep.equations._eqn_1 0.000762 s: category_theory.concrete_category.congr_arg 0.001936 s: cardinal.mk_Union_le 0.000374 s: locally_compact_space.rec_on 0.013846 s: nnreal.map_coe_at_top 0.000255 s: commute.bit0_left 0.004512 s: commute.bit1_left 0.075208 s: complex.conj_clm_coe 0.022509 s: function.surjective.semiring.equations._eqn_1 0.000118 s: ordinal.inhabited 0.000729 s: compact_exhaustion.find.equations._eqn_1 0.000228 s: category_theory.functor.empty.equations._eqn_1 0.005082 s: multiset.product_singleton 0.000986 s: measure_theory.lintegral_lintegral 0.001036 s: measure_theory.lintegral_lintegral_swap 0.002135 s: category_theory.limits.types.initial_limit_cone._proof_2 0.003718 s: category_theory.limits.types.initial_limit_cone._proof_3 0.003232 s: category_theory.limits.types.initial_limit_cone 0.001030 s: add_monoid_hom.single_apply 0.000982 s: canonically_linear_ordered_add_monoid.decidable_eq._default 0.000967 s: canonically_linear_ordered_add_monoid.decidable_eq._default.equations._eqn_1 0.000628 s: int.add_lt_add_of_le_of_lt 0.000081 s: int.add_pos_of_nonneg_of_pos 0.001693 s: measure_theory.measure.absolutely_continuous.map 0.000891 s: measure_theory.measure.quasi_measure_preserving.mono_left 0.000299 s: measure_theory.measure.quasi_measure_preserving.mono 0.001508 s: category_theory.pairwise.diagram_map_2 0.000200 s: slim_check.sampleable_functor.p_repr 0.000361 s: mul_action.to_fun.equations._eqn_1 0.024194 s: module.flat.drec 0.000307 s: category_theory.monoidal.transported.inhabited 0.000039 s: lint_verbosity.low.inj 0.000022 s: lint_verbosity.low.inj_arrow 0.020560 s: continuous_multilinear_map.add_comm_group.equations._eqn_1 0.078248 s: is_dedekind_domain.dimension_le_one 0.016778 s: finset.prod_fiberwise_of_maps_to 0.001783 s: finset.prod_fiberwise_le_prod_of_one_le_prod_fiber' 0.003984 s: lie_submodule.top_coe_submodule 0.006146 s: lie_hom.ideal_range_eq_top_of_surjective 0.003411 s: category_theory.limits.cones.equivalence_of_reindexing_inverse 0.002213 s: category_theory.with_terminal.incl.equations._eqn_1 0.000375 s: is_lawful_bifunctor.bimap_id_id 0.001803 s: function.bicompl.is_lawful_bifunctor._proof_1 0.002744 s: function.bicompl.is_lawful_bifunctor._proof_2 0.000594 s: function.bicompl.is_lawful_bifunctor 0.000784 s: function.bicompl.is_lawful_bifunctor.equations._eqn_1 0.000039 s: ordnode.of_asc_list 0.005989 s: CommRing.colimits.relation.cases_on 0.000202 s: pnat.div_exact.equations._eqn_1 0.000845 s: turing.TM2.stmts₁.equations._eqn_1 0.002790 s: turing.TM2.supports_stmt._main.equations._eqn_1 0.000449 s: turing.TM2.supports_stmt.equations._eqn_1 0.002987 s: turing.TM2.stmts₁._main.equations._eqn_2 0.000518 s: turing.TM2.stmts₁.equations._eqn_2 0.000387 s: turing.TM2.stmts₁.equations._eqn_3 0.000249 s: turing.TM2.supports_stmt.equations._eqn_3 0.001490 s: turing.TM2.stmts₁._main.equations._eqn_4 0.000323 s: turing.TM2.stmts₁.equations._eqn_4 0.001229 s: turing.TM2.supports_stmt._main.equations._eqn_4 0.000186 s: turing.TM2.supports_stmt.equations._eqn_4 0.001477 s: turing.TM2.supports_stmt._main.equations._eqn_5 0.000234 s: turing.TM2.supports_stmt.equations._eqn_5 0.000464 s: turing.TM2.supports_stmt._main.equations._eqn_6 0.000240 s: turing.TM2.supports_stmt.equations._eqn_6 0.000914 s: turing.TM2.stmts₁._main.equations._eqn_6 0.000177 s: turing.TM2.stmts₁.equations._eqn_6 0.000427 s: turing.TM2.stmts₁._main.equations._eqn_7 0.000177 s: turing.TM2.stmts₁.equations._eqn_7 0.013289 s: turing.TM2.stmts₁_supports_stmt_mono 0.016144 s: add_subgroup.le_normalizer_of_normal 0.011953 s: lie_subalgebra.eq_bot_iff 0.001261 s: nat.bit1_ne_one 0.000634 s: mv_polynomial.comap_id 0.000130 s: category_theory.End.equations._eqn_1 0.002618 s: nat.dvd_left_iff_eq 0.008625 s: eventually_eq.countable_bInter 0.000301 s: monad_io_process.sizeof 0.002911 s: Gromov_Hausdorff.aux_gluing_struct.mk.inj_eq 0.001027 s: equiv.to_pequiv_refl 0.000392 s: seq.drop._main 0.000059 s: seq.drop 0.001224 s: seq.drop._main.equations._eqn_2 0.000131 s: seq.drop.equations._eqn_2 0.001476 s: seminorm.to_fun 0.000287 s: measure_theory.sigma_finite.rec_on 0.002490 s: category_theory.limits.prod.right_unitor_hom_naturality 0.001766 s: category_theory.limits.prod.right_unitor_hom_naturality_assoc 0.000655 s: id.is_lawful_traversable._proof_5 0.000094 s: reducibility_hints.sizeof 0.000153 s: reducibility_hints.regular.sizeof_spec 0.000072 s: num.inhabited 0.000181 s: except.to_option._main 0.000058 s: except.to_option 0.000217 s: except.to_option._main.equations._eqn_1 0.000124 s: except.to_option.equations._eqn_1 0.000308 s: lt_inv_of_lt_inv 0.000144 s: bitvec.ult 0.000176 s: bitvec.ult.equations._eqn_1 0.000356 s: topological_vector_bundle.bundle.trivial.semimodule.equations._eqn_1 0.000841 s: continuous_map.has_inf._proof_1 0.000342 s: continuous_map.has_inf 0.000215 s: continuous_map.semilattice_inf._proof_1 0.000225 s: continuous_map.semilattice_inf._proof_2 0.000480 s: continuous_map.semilattice_inf._proof_4 0.000622 s: continuous_map.inf_apply 0.004688 s: continuous_map.semilattice_inf._proof_5 0.003002 s: continuous_map.semilattice_inf._proof_6 0.003436 s: continuous_map.semilattice_inf._proof_7 0.003083 s: continuous_map.semilattice_inf 0.000802 s: continuous_map.lattice._proof_10 0.000272 s: algebra.id.equations._eqn_1 0.000874 s: free_group.reduce.eq_of_red 0.000802 s: metric.inf_dist_eq_closure 0.009285 s: pi.semilattice_sup_bot.equations._eqn_1 0.000102 s: primorial 0.000077 s: primorial.equations._eqn_1 0.001982 s: set.preimage_neg_Ioo 0.002695 s: tendsto_neg_nhds_within_Ioi 0.001007 s: tendsto_neg_nhds_within_Ioi_neg 0.155326 s: has_deriv_at.lhopital_zero_left_on_Ioo 0.169735 s: deriv.lhopital_zero_left_on_Ioo 0.020516 s: finset.powerset_len_self 0.003998 s: finset.filter_union 0.005699 s: finset.image_filter 0.003843 s: finset.powerset_len_succ_insert 0.000937 s: finset.powerset_len_zero 0.002710 s: finset.powerset_len_nonempty 0.015634 s: finset.powerset_len_sup 0.003344 s: category_theory.limits.is_limit.equiv_iso_limit.equations._eqn_1 0.000968 s: Gromov_Hausdorff.rep_GH_space_metric_space.equations._eqn_1 0.000247 s: pgame.left_moves_of 0.000583 s: pgame.relabelling_move_left._proof_1 0.000331 s: pgame.relabelling_move_left._proof_2 0.000284 s: pgame.relabelling_move_left._proof_3 0.001631 s: pgame.relabelling_move_left 0.001689 s: pgame.relabelling_move_left.equations._eqn_1 0.000252 s: category_theory.normal_of_is_pushout_fst_of_normal._proof_2 0.001066 s: compact_pi_Icc 0.001014 s: compact_space_pi_Icc 0.001133 s: compact_space_pi_Icc.equations._eqn_1 0.005042 s: ennreal.supr_ne_top 0.000434 s: pos_num.lxor._main.equations._eqn_6 0.000052 s: snum.inhabited.equations._eqn_1 0.005852 s: linear_isometry_equiv.comp_differentiable_within_at_iff 0.001214 s: pmf.normalize.equations._eqn_1 0.001031 s: eventually_closure_subset_of_is_open_of_omega_limit_subset 0.001337 s: eventually_maps_to_of_is_open_of_omega_limit_subset 0.000109 s: continuous_map.normed_ring._proof_1 0.001238 s: continuous_map.normed_ring._proof_2 0.013041 s: continuous_map.normed_ring._proof_3 0.086323 s: continuous_map.normed_ring 0.017618 s: bounded_continuous_function.dist_lt_iff_of_compact 0.002603 s: bounded_continuous_function.norm_lt_iff_of_compact 0.003456 s: continuous_map.norm_lt_iff 0.026579 s: finset.abs_sum_le_sum_abs 0.001247 s: unit_interval.nonneg 0.042334 s: unit_interval.one_minus_nonneg 0.027631 s: bernstein_nonneg 0.000636 s: finset.sum_add_sum_compl 0.002728 s: continuous_map.dist_lt_of_dist_lt_modulus 0.110954 s: bernstein_approximation.lt_of_mem_S 0.015533 s: finset.sum_le_univ_sum_of_nonneg 0.000766 s: bounded_continuous_function.dist_le_two_norm 0.010510 s: continuous_map.dist_le_two_norm 0.000976 s: continuous_map.modulus_pos 1.625889 s: bernstein_approximation.le_of_mem_S_compl 0.051695 s: pow_minus_two_nonneg 0.000580 s: bernstein.z.equations._eqn_1 0.115158 s: bernstein_polynomial.sum_smul 0.163087 s: bernstein_polynomial.variance 0.262067 s: bernstein.variance 0.025865 s: mul_nonneg_le_one_le 0.050563 s: unit_interval.one_minus_le_one 0.561788 s: bernstein_approximation_uniform 0.000311 s: free_algebra.pre.has_zero.equations._eqn_1 0.000136 s: turing.partrec_to_TM2.move₂.equations._eqn_1 0.000321 s: lazy_list.interleave_all._main 0.001762 s: lazy_list.interleave_all._main.equations._eqn_2 0.014964 s: is_subgroup.normal_in_normalizer._match_1.equations._eqn_1 0.011672 s: category_theory.monad.monadicity_internal.main_pair_G_split.equations._eqn_1 0.005868 s: category_theory.subterminals_equiv_mono_over_terminal_inverse_obj_coe 0.000649 s: additive.linear_ordered_add_comm_monoid_with_top._proof_9 0.034789 s: quaternion_algebra.ring.equations._eqn_1 0.000763 s: category_theory.additive_category 0.014828 s: algebraic_geometry.PresheafedSpace.to_restrict_top._match_2.equations._eqn_1 0.001227 s: supr_lt_iff 0.002445 s: measure_theory.simple_func.map_add 0.000910 s: measure_theory.simple_func.add_apply 0.000715 s: measure_theory.simple_func.sub_apply 0.053084 s: measure_theory.exists_simple_func_forall_lintegral_sub_lt_of_pos 0.013510 s: nat.linear_ordered_semiring.equations._eqn_1 0.000087 s: LinearOrder.of 0.000364 s: punit.canonically_ordered_add_monoid._proof_1 0.001299 s: punit.canonically_ordered_add_monoid._proof_2 0.005793 s: punit.canonically_ordered_add_monoid._proof_3 0.003623 s: punit.canonically_ordered_add_monoid 0.000194 s: punit.linear_ordered_cancel_add_comm_monoid._proof_1 0.001211 s: punit.linear_ordered_cancel_add_comm_monoid._proof_2 0.001346 s: punit.linear_ordered_cancel_add_comm_monoid._proof_3 0.011431 s: punit.linear_ordered_cancel_add_comm_monoid 0.000071 s: LinearOrder.inhabited 0.000177 s: finsupp.lattice._proof_1 0.000182 s: finsupp.lattice._proof_2 0.000914 s: finsupp.lattice._proof_3 0.000526 s: finsupp.lattice._proof_4 0.000772 s: finsupp.lattice._proof_5 0.000464 s: finsupp.lattice._proof_6 0.000571 s: finsupp.lattice._proof_8 0.000585 s: finsupp.lattice._proof_10 0.012569 s: finsupp.lattice 0.000960 s: finsupp.semilattice_inf_bot._proof_8 0.000501 s: topological_group.drec_on 0.000435 s: category_theory.forget₂.equations._eqn_1 0.001958 s: finset.measurable_prod 0.000374 s: rack.pre_envel_group.setoid.equations._eqn_1 0.000404 s: turing.TM2to1.tr 0.003942 s: turing.TM2to1.tr_cfg 0.002456 s: turing.TM2to1.tr_cfg.dcases_on 0.001923 s: turing.TM2to1.tr._main.equations._eqn_1 0.000607 s: turing.TM2to1.tr.equations._eqn_1 0.010279 s: turing.TM2to1.step_run 0.000366 s: turing.reaches₁.to₀ 0.001338 s: turing.TM1.step_aux._main.equations._eqn_5 0.000445 s: turing.TM1.step_aux.equations._eqn_5 0.000166 s: option.is_none._main.equations._eqn_1 0.000052 s: option.is_none.equations._eqn_1 0.001714 s: turing.TM2to1.tr._main.equations._eqn_2 0.001400 s: turing.TM2to1.tr.equations._eqn_2 0.000064 s: turing.reaches₀.refl 0.000209 s: turing.reaches₀.tail 0.009375 s: turing.TM2to1.tr_respects_aux₁ 0.001119 s: turing.TM2to1.tr.equations._eqn_3 0.008549 s: turing.TM2to1.tr_respects_aux₃ 0.026989 s: turing.TM2to1.tr_respects_aux 0.007143 s: turing.TM2to1.tr_normal._main.equations._eqn_5 0.000874 s: turing.TM2to1.tr_normal.equations._eqn_5 0.041372 s: turing.TM2to1.tr_respects 0.009572 s: category_theory.limits.bicone.to_cocone.equations._eqn_1 0.000321 s: onote.to_string_aux1.equations._eqn_1 0.005642 s: associates.has_mul._match_1.equations._eqn_1 0.000244 s: slim_check.test_result.no_confusion_type 0.000538 s: slim_check.test_result.no_confusion 0.000239 s: slim_check.test_result.failure.inj 0.000117 s: slim_check.test_result.failure.inj_arrow 0.001107 s: _private.1499468017.modlt 0.000149 s: fin.mod._main 0.000214 s: fin.mod._main.equations._eqn_1 0.002455 s: continuous_linear_map.prodₗᵢ._proof_2 0.001654 s: gpowers.is_subgroup._match_3.equations._eqn_1 0.004282 s: ring_hom.map_geom_sum 0.000608 s: rel_iso.preimage.equations._eqn_1 0.001625 s: star_algebra.cases_on 0.001904 s: smooth_mul_left 0.031976 s: tensor_algebra.algebra_map_inv.equations._eqn_1 0.004815 s: mvpfunctor.W_path.root.inj 0.000025 s: num.land 0.000150 s: num.land._main.equations._eqn_3 0.000057 s: num.land.equations._eqn_3 0.002070 s: vector.to_array._main 0.000116 s: vector.to_array._main._proof_1 0.000865 s: vector.to_array._main.equations._eqn_1 0.000261 s: has_finite_inter.sizeof 0.002684 s: fixed_points.complete_lattice._match_5.equations._eqn_1 0.000461 s: category_theory.is_skeleton_of.sizeof 0.000860 s: holor.cprank_max1.dcases_on 0.001802 s: smooth_map_comm_group._proof_4 0.008556 s: category_theory.Groupoid.category.equations._eqn_1 0.000353 s: Profinite_to_Top.full 0.099892 s: tendsto_rpow_at_top 0.021345 s: measure_theory.L1.simple_func.eq_iff' 0.030624 s: category_theory.lift_adjoint.construct_left_adjoint_equiv_symm_apply 0.000928 s: filter.germ.semilattice_sup_top._proof_6 0.000366 s: list.traverse.equations._eqn_1 0.004579 s: finset.is_lawful_functor 0.007605 s: category_theory.monoidal_of_has_finite_products.right_unitor_inv 0.156318 s: mod_p.equations._eqn_1 0.014559 s: category_theory.functor.id.additive 0.000347 s: category_theory.Mat_.equivalence_self_of_has_finite_biproducts._proof_1 0.002631 s: category_theory.Mat_.equivalence_self_of_has_finite_biproducts._proof_2 0.003181 s: category_theory.Mat_.equivalence_self_of_has_finite_biproducts_aux 0.003617 s: category_theory.Mat_.equivalence_self_of_has_finite_biproducts 0.001083 s: category_theory.Mat_.equivalence_self_of_has_finite_biproducts_functor 0.000722 s: onote.le_def 0.000161 s: cardinal.aleph'_equiv 0.000199 s: cardinal.aleph'_equiv.equations._eqn_1 0.000325 s: pos_num.add._main.equations._eqn_5 0.000091 s: pos_num.add.equations._eqn_5 0.002645 s: add_con.lift.equations._eqn_1 0.000216 s: primcodable.cases_on 0.000164 s: primcodable.no_confusion_type 0.000492 s: primcodable.no_confusion 0.000211 s: primcodable.mk.inj 0.000234 s: primcodable.mk.inj_arrow 0.000322 s: category_theory.action_category.inhabited 0.000369 s: category_theory.action_category.inhabited.equations._eqn_1 0.001676 s: bool.band_left_comm 0.003515 s: submodule.topological_closure.equations._eqn_1 0.001137 s: is_lawful_mvfunctor.dcases_on 0.011955 s: ring_hom.finite_presentation.id 0.000069 s: fp.float.nan.inj 0.000999 s: pos_num.decidable_le._main.equations._eqn_1 0.000387 s: pos_num.decidable_le.equations._eqn_1 0.001402 s: CommMon_Type_equivalence_CommMon.CommMon_comm_monoid.equations._eqn_1 0.000322 s: normal_subgroup.rec_on 0.000196 s: turing.to_partrec.cfg.ret.inj 0.000108 s: turing.to_partrec.cfg.ret.inj_arrow 0.000087 s: mul_semiring_action_hom.id._proof_2 0.000114 s: mul_semiring_action_hom.id._proof_3 0.000089 s: mul_semiring_action_hom.id._proof_5 0.004947 s: mul_semiring_action_hom.id 0.000874 s: mul_semiring_action_hom.id_apply 0.008217 s: uniformity_basis_edist' 0.003668 s: submonoid.coe_finset_prod 0.000237 s: onote.mul._main.equations._eqn_1 0.000210 s: Gromov_Hausdorff.aux_gluing._proof_12 0.051097 s: interval_integral.integral_comp_sub_div 0.087781 s: complex.re_clm_coe 0.000088 s: fun_info.cases_on 0.000078 s: fun_info.no_confusion_type 0.000180 s: fun_info.no_confusion 0.000143 s: fun_info.mk.inj 0.000100 s: fun_info.mk.inj_arrow 0.000323 s: int.lor._main.equations._eqn_1 0.000082 s: int.lor.equations._eqn_1 0.000183 s: rbnode.ins._match_1.equations._eqn_1 0.000193 s: category_theory.is_skeleton_of.has_sizeof_inst 0.106972 s: category_theory.lax_monoidal_functor.mk.inj_eq 0.002615 s: finset.prod_sigma' 0.000537 s: measurable_equiv.cast._proof_2 0.000068 s: mk_str_name.equations._eqn_1 0.001284 s: submonoid.coe_inf 0.004600 s: hyperreal.not_infinite_pos_add_infinite_neg 0.000321 s: turing.TM1.step.equations._eqn_1 0.002750 s: homeomorph.rec_on 0.008276 s: has_strict_fderiv_at.const_add 0.003050 s: has_strict_fderiv_at.const_sub 0.011451 s: algebra.no_zero_smul_divisors.of_algebra_map_injective 0.097097 s: algebra.no_zero_smul_divisors 0.160629 s: algebra.no_zero_smul_divisors.equations._eqn_1 0.000243 s: category_theory.limits.types.colimit_equiv_quot._proof_2 0.033258 s: matrix.block_diagonal'_diagonal 0.003276 s: matrix.block_diagonal'_one 0.000418 s: complete_lattice.set_independent.equations._eqn_1 0.001501 s: computable_pred.computable_iff 0.001326 s: partrec.const' 0.002968 s: computable_pred.to_re 0.000700 s: prime_spectrum.is_open_basic_open 0.000232 s: with_zero.can_lift.equations._eqn_1 0.002080 s: prod.smul_comm_class.equations._eqn_1 0.007247 s: category_theory.op_op_equivalence.equations._eqn_1 0.002121 s: cmp_le_swap 0.000080 s: pnat.has_sub 0.000314 s: ideal.is_maximal.rec_on 0.000605 s: measure_theory.ae_eq_fun.lift_rel.equations._eqn_1 0.000274 s: parser.mono.many.equations._eqn_1 0.000041 s: linear_ordered_field.has_sizeof_inst 0.000135 s: unit_interval.nonempty 0.001620 s: subalgebra.zero_mem'._default 0.000668 s: intermediate_field.zero_mem'._default 0.000196 s: topological_space.second_countable_topology.cases_on 0.026950 s: algebra_map_isometry 0.000326 s: complete_space.rec_on 0.000059 s: nat.add._sunfold 0.000118 s: AddSemigroup.equations._eqn_1 0.001759 s: is_R_or_C.re_to_complex 0.011188 s: is_R_or_C.norm_sq_to_complex 0.007434 s: euclidean_quadrant.topological_space.equations._eqn_1 0.002449 s: affine_equiv.sizeof 0.000423 s: rack.self_act_act_eq 0.000598 s: rack.self_act_inv_act_eq 0.000336 s: rack.self_apply_equiv._proof_1 0.000435 s: nat.partrec.code.encode_code._main.equations._eqn_2 0.000142 s: real.has_Inf.equations._eqn_1 0.001653 s: parser.static.foldr_core._sunfold 0.001516 s: add_subgroup.mk.sizeof_spec 0.000124 s: int.shiftl._sunfold 0.001779 s: finsupp.order_embedding_to_fun_apply 0.000112 s: nat.primes.has_repr 0.000048 s: nat.primes.has_repr.equations._eqn_1 0.002329 s: multilinear_map.to_linear_map.equations._eqn_1 0.000108 s: znum.mul._main.equations._eqn_1 0.000023 s: znum.mul.equations._eqn_1 0.002640 s: typevec.typevec_cases_cons₃.equations._eqn_1 0.004921 s: category_theory.arrow.hom_mk 0.004374 s: category_theory.arrow.hom_mk_left 0.017041 s: tensor_product.semimodule'.equations._eqn_1 0.003999 s: order_iso.is_compl_iff 0.001257 s: order_iso.is_complemented 0.000286 s: order_iso.is_complemented_iff 0.074064 s: is_semisimple_module.is_semisimple_submodule 0.078789 s: module.direct_limit.lift._match_1 0.071220 s: module.direct_limit.lift._proof_1 0.071318 s: module.direct_limit.lift 0.022342 s: Module.direct_limit_is_colimit._proof_1 0.052222 s: module.direct_limit.lift_of 0.146856 s: Module.direct_limit_is_colimit._proof_2 0.107543 s: module.direct_limit.induction_on 0.159619 s: module.direct_limit.lift_unique 0.245253 s: Module.direct_limit_is_colimit._proof_3 0.080171 s: Module.direct_limit_is_colimit 0.088055 s: Module.direct_limit_is_colimit.equations._eqn_1 0.000042 s: name.update_prefix 0.000373 s: multiplicative.linear_order.equations._eqn_1 0.013780 s: equiv.mul_equiv._proof_1 0.000359 s: equiv.mul_equiv 0.001896 s: equiv.mul_equiv_symm_apply 0.003047 s: lie_equiv.one_apply 0.008970 s: category_theory.topology_of_closure_operator._proof_1 0.002888 s: category_theory.topology_of_closure_operator._proof_2 0.009149 s: category_theory.topology_of_closure_operator._proof_3 0.002708 s: category_theory.topology_of_closure_operator 0.001052 s: category_theory.subobject.complete_lattice._proof_8 0.000663 s: Set.powerset._match_9.equations._eqn_1 0.045548 s: linear_pmap.fst_apply 0.000861 s: abstract_completion.cases_on 0.000283 s: abstract_completion.no_confusion_type 0.000516 s: abstract_completion.no_confusion 0.011721 s: open_add_subgroup.mk.sizeof_spec 0.002984 s: bounded_continuous_function.mul_apply 0.003650 s: category_theory.lifts_to_limit.rec_on 0.001888 s: monoid_with_zero.cases_on 0.001254 s: monoid_with_zero.no_confusion_type 0.030991 s: subsemiring.to_linear_ordered_semiring.equations._eqn_1 0.000109 s: unit.has_repr 0.000069 s: unit.has_repr.equations._eqn_1 0.001033 s: subsemiring.mem_top 0.004040 s: subsemiring.eq_top_iff' 0.000213 s: denumerable.option.equations._eqn_1 0.000150 s: CpltSepUniformSpace.of.equations._eqn_1 0.011728 s: matrix.block_diagonal_add 0.004464 s: typevec.subtype_val._sunfold 0.000306 s: vector.fintype 0.000387 s: vector.fintype.equations._eqn_1 0.000700 s: add_con.has_add.equations._eqn_1 0.013810 s: interval_integral.FTC_filter.pure.equations._eqn_1 0.001542 s: seq1.join._main.equations._eqn_1 0.000143 s: seq1.join.equations._eqn_1 0.000026 s: tactic.itauto.proof.inhabited 0.000079 s: nonote.has_mul._proof_1 0.000091 s: nonote.has_mul 0.159429 s: cau_seq.completion.field.equations._eqn_1 0.016570 s: tangent_cone_at.equations._eqn_1 0.000407 s: equiv.injective_comp 0.012220 s: field.cases_on 0.008206 s: field.no_confusion_type 0.003539 s: field.no_confusion 0.016521 s: field.mk.inj 0.000640 s: Mon_.id_hom 0.024909 s: fact_one_le_two_ennreal 0.002904 s: measure_theory.Lp.normed_group_L2 0.001616 s: measure_theory.Lp.normed_space_L2 0.003852 s: measure_theory.Lp.normed_space_L2.equations._eqn_1 0.002013 s: list.injective_foldl_comp 0.001112 s: category_theory.sum.inl_._proof_1 0.000835 s: category_theory.limits.preserves_limits_of_reflects_of_preserves 0.000862 s: category_theory.limits.preserves_limits_of_reflects_of_preserves.equations._eqn_1 0.000538 s: exists_elim_eq_left 0.000469 s: set.inj_on.comp 0.000576 s: set.surj_on.comp 0.000598 s: set.bij_on.comp 0.000244 s: int.induction_on'._proof_17 0.000722 s: set.union_Inter 0.000252 s: category_theory.internalize_hom._proof_2 0.000512 s: category_theory.internalize_hom 0.000663 s: category_theory.internalize_hom.equations._eqn_1 0.000201 s: turing.to_partrec.step_normal._sunfold 0.000930 s: bool.bxor_left_comm 0.000933 s: category_theory.limits.biprod.fst_epi.equations._eqn_1 0.000145 s: multiplicative.right_cancel_semigroup._proof_1 0.001682 s: mem_pregroupoid_of_eq_on_source 0.000335 s: function.is_fixed_pt.left_of_comp 0.006264 s: matrix.dot_product_std_basis_eq_mul 0.000829 s: ctop.sizeof 0.002048 s: ctop.mk.sizeof_spec 0.001784 s: free_abelian_group.one_def 0.002598 s: measurable_equiv.Pi_congr_right._proof_2 0.000266 s: filter.eventually_eq.mem_iff 0.000805 s: category_theory.limits.reflects_colimits_of_shape.mk.inj_arrow 0.001203 s: subsemiring.copy.equations._eqn_1 0.000416 s: monoid_hom.eq_locus._proof_2 0.000452 s: pequiv.single.equations._eqn_1 0.006666 s: function.injective.add_cancel_comm_monoid._proof_5 0.001064 s: subtype.map_injective 0.000573 s: function.embedding.subtype_map._proof_1 0.000436 s: function.embedding.subtype_map 0.000617 s: cardinal.mk_subtype_le_of_subset 0.000164 s: continuous_map.comp_right_alg_hom._proof_7 0.000131 s: continuous_ulift_down 0.000322 s: continuous_ulift_up 0.000428 s: homeomorph.ulift 0.000379 s: list.take_while._main 0.000065 s: list.take_while 0.000543 s: pos_num.sub'._main.equations._eqn_4 0.000380 s: measure_theory.finite_measure.cases_on 0.002273 s: has_fderiv_at_iff_tendsto 0.000481 s: eq_of_one_div_eq_one_div 0.000729 s: category_theory.with_initial.comp._main.equations._eqn_5 0.000436 s: add_monoid_hom.mk_normed_group_hom'._proof_1 0.001741 s: add_monoid_hom.mk_normed_group_hom'._proof_2 0.000773 s: add_monoid_hom.mk_normed_group_hom' 0.001621 s: normed_group_hom.mk_normed_group_hom'_bound_by 0.000174 s: semiconj_by.inv_symm_left' 0.000261 s: state_t.eval.equations._eqn_1 0.000870 s: measure_theory.integral_empty 0.000237 s: category_theory.limits.biproduct_iso._proof_5 0.001949 s: category_theory.limits.image_map_id.equations._eqn_1 0.002234 s: category_theory.unop_mono_of_epi 0.004202 s: prod.is_lawful_bitraversable._proof_4 0.000217 s: list.filter_map._sunfold 0.002735 s: canonically_ordered_monoid.bot 0.000879 s: smul_with_zero.no_confusion 0.000517 s: smul_with_zero.mk.inj 0.002440 s: continuous_linear_map.fpower_series._main.equations._eqn_3 0.169713 s: padic.mk 0.220122 s: padic.mk.equations._eqn_1 0.022426 s: filter.is_cobounded_bot 0.075448 s: sesq_form.to_module._proof_8 0.018064 s: category_theory.functor.sum._match_2.equations._eqn_2 0.000544 s: has_lt.lt.is_order_connected 0.004779 s: lie_submodule.top_coe 0.000325 s: int.eq_of_mul_eq_mul_left 0.000132 s: int.eq_one_of_mul_eq_self_right 0.001459 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_20 0.000109 s: turing.inhabited_tm2_computable_in_poly_time 0.000970 s: monoid.foldr.of_free_monoid 0.000474 s: monoid.foldr.of_free_monoid.equations._eqn_1 0.003690 s: traversable.fold_foldr 0.007957 s: add_equiv.to_AddCommGroup_iso._proof_1 0.001071 s: add_equiv.to_AddCommGroup_iso 0.006926 s: add_equiv_iso_AddCommGroup_iso._proof_2 0.000096 s: onote.top_below._sunfold 0.000260 s: complex.tan_of_real_im 0.001375 s: category_theory.abelian.pseudoelement.pseudo_zero_def 0.001991 s: multilinear_map.congr_arg 0.009290 s: order_topology.to_order_closed_topology.equations._eqn_1 0.006356 s: ring.fractional_ideal.map_equiv._proof_1 0.005201 s: ring.fractional_ideal.map_equiv._proof_2 0.006422 s: ring.fractional_ideal.map_equiv 0.000790 s: category_theory.monoidal_nat_trans.category_monoidal_functor.equations._eqn_1 0.000491 s: simple_graph.edge_set_decidable_pred.equations._eqn_1 0.001462 s: set.image_factorization_eq 0.015723 s: int.floor_ring._proof_1 0.000164 s: int.floor_ring 0.000215 s: int.floor_ring.equations._eqn_1 0.000877 s: filter.realizer.of_filter._proof_1 0.000378 s: filter.realizer.of_filter._proof_2 0.005908 s: filter.realizer.of_filter._proof_3 0.000943 s: filter.realizer.of_filter 0.000801 s: order_of_eq_prime_pow 0.000149 s: quaternion_group.a.inj_arrow 0.002964 s: quaternion_group.xa_pow_two 0.014329 s: nat.mod_mul_right_div_self 0.003924 s: nat.mod_mul_left_div_self 0.033836 s: quaternion_group.order_of_xa 0.000199 s: topological_space.opens.has_inter 0.000187 s: topological_space.opens.has_inter.equations._eqn_1 0.000076 s: can_lift.has_sizeof_inst 0.000293 s: string.iterator.to_end._main.equations._eqn_1 0.036873 s: has_strict_deriv_at.local_inverse 0.051595 s: has_strict_deriv_at.to_local_inverse 0.006624 s: div_div_div_div_eq 0.001332 s: rbnode.max._main.equations._eqn_4 0.000353 s: category_theory.limits.has_binary_coproducts_of_has_colimit_pair 0.001768 s: shrinking_lemma.partial_refinement.no_confusion_type 0.001744 s: shrinking_lemma.partial_refinement.no_confusion 0.001226 s: shrinking_lemma.partial_refinement.mk.inj 0.001275 s: shrinking_lemma.partial_refinement.mk.inj_arrow 0.004269 s: shrinking_lemma.partial_refinement.ext_iff 0.001781 s: linear_map.prod_ext 0.000071 s: monad.whenb 0.000102 s: monad.whenb.equations._eqn_1 0.000383 s: equiv.add_semigroup._proof_1 0.000535 s: equiv.add_semigroup 0.000660 s: category_theory.triangulated.triangle_morphism_id_hom₂ 0.001449 s: nndist_triangle_left 0.003784 s: algebra.tensor_product.include_right.equations._eqn_1 0.002718 s: normed_algebra.mk.sizeof_spec 0.000370 s: lex_linear_order._proof_7 0.003602 s: monoid_algebra.lift_symm_apply 0.002080 s: monoid_algebra.lift_of 0.005019 s: wseq.destruct_of_seq 0.001052 s: seq.tail_nil 0.004485 s: wseq.tail_of_seq 0.004443 s: wseq.dropn_of_seq 0.002379 s: lucas_lehmer.X.neg_snd 0.002018 s: lucas_lehmer.X.one_snd 0.006130 s: lucas_lehmer.X.int_coe_snd 0.058869 s: ideal.eq_zero_of_constant_mem_of_maximal 0.000323 s: dioph.dioph_pfun.equations._eqn_1 0.157175 s: euclidean_geometry.orthogonal_projection_fn.equations._eqn_1 0.000112 s: Well_order.inhabited 0.023538 s: ordinal.lift_lift 0.063520 s: continuous_multilinear_map.curry_sum.equations._eqn_1 0.046638 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._sunfold 0.014019 s: measure_theory.ae_eq_fun.mk_le_mk 0.002818 s: fintype.prod_unique 0.000026 s: doc_category.tactic.inj 0.000039 s: doc_category.tactic.inj_eq 0.000115 s: punit.unique.equations._eqn_1 0.000454 s: module.dual.has_coe_to_fun.equations._eqn_1 0.004642 s: equiv.perm.sum_congr_hom_injective 0.005043 s: equiv.perm.sum_congr_hom.card_range 0.000146 s: mvfunctor.supp 0.000223 s: mvqpf.supp_preservation 0.000336 s: mvqpf.supp_preservation.equations._eqn_1 0.032829 s: matrix.to_bilin'_apply' 0.000337 s: filter.germ.ordered_cancel_comm_monoid._proof_9 0.000695 s: real.decidable_lt.equations._eqn_1 0.009122 s: exterior_algebra.ι_comp_lift 0.011103 s: exterior_algebra.lift_ι_apply 0.042296 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_counit_iso_hom_app_hom 0.024855 s: triv_sq_zero_ext.fst_hom.equations._eqn_1 0.000598 s: omega.int.preform.fresh_index._main.equations._eqn_3 0.000058 s: omega.int.preform.fresh_index.equations._eqn_3 0.034695 s: zmod.subsingleton_units.equations._eqn_1 0.006185 s: finset.Ico.coe_eq_Ico 0.002189 s: prod.lex.is_well_order._match_2.equations._eqn_3 0.002527 s: continuous_linear_map.inl.equations._eqn_1 0.000085 s: nat.arithmetic_function.card_distinct_factors._proof_1 0.001230 s: nat.arithmetic_function.card_distinct_factors 0.000359 s: nat.arithmetic_function.card_distinct_factors_apply 0.000881 s: nat.arithmetic_function.card_distinct_factors_eq_card_factors_iff_squarefree 0.000588 s: is_scalar_tower.dcases_on 0.000293 s: ring_hom.to_int_alg_hom._proof_3 0.001183 s: enorm.has_top.equations._eqn_1 0.001411 s: AddCommGroup.has_zero_object._proof_2 0.001123 s: AddCommGroup.has_zero_object 0.001002 s: AddCommGroup.has_zero_object.equations._eqn_1 0.000063 s: ulift.has_sizeof_inst 0.000035 s: cardinal.inhabited 0.000039 s: cardinal.inhabited.equations._eqn_1 0.011896 s: category_theory.limits.complete_lattice.limit_cone.equations._eqn_1 0.004701 s: multiset.coe_attach 0.002166 s: structomorph.rec_on 0.000680 s: pnat.factor_multiset_pow 0.000797 s: multiset.card_nsmul 0.001589 s: prime_multiset.card_of_prime 0.000097 s: prime_multiset.of_prime.equations._eqn_1 0.020886 s: pnat.count_factor_multiset 0.000712 s: vector.head_cons 0.000319 s: id.pure_eq 0.000291 s: int.gcd_dvd_gcd_of_dvd_left 0.007354 s: int.gcd_dvd_gcd_mul_left 0.000316 s: setoid.is_partition_classes 0.000378 s: monad_io_file_system.remove 0.000033 s: io.fs.remove 0.000704 s: hash_map.valid.cases_on 0.000312 s: is_R_or_C.conj_involutive 0.000318 s: is_R_or_C.conj_bijective 0.122362 s: div_mul_le_div_mul_of_div_le_div 0.001710 s: category_theory.limits.types.image.lift.equations._eqn_1 0.000155 s: state_t.orelse 0.011883 s: state_t.alternative 0.002114 s: state_t.alternative.equations._eqn_1 0.122475 s: pre_tilt.integral_domain._proof_15 0.020344 s: category_theory.subterminals_equiv_mono_over_terminal_functor_obj_coe 0.003626 s: pi_tensor_product.semimodule.equations._eqn_1 0.000359 s: pos_num.ldiff._main.equations._eqn_7 0.000079 s: pos_num.ldiff.equations._eqn_7 0.034269 s: int.exists_lt_and_lt_iff_not_dvd 0.004391 s: continuous_uncurry_right 0.000578 s: restrict_scalars.normed_space.equations._eqn_1 0.003084 s: category_theory.limits.types.binary_product_limit.equations._eqn_1 0.002202 s: bool.band_assoc 0.008571 s: inv_mul_lt_iff_lt_mul 0.005395 s: category_theory.limits.cones.ext_hom_hom 0.002101 s: tactic.ring2.csring_expr.eval._main.equations._eqn_5 0.000496 s: omega.int.univ_close._main 0.000936 s: real.volume_Iic 0.003592 s: gpowers.is_subgroup._match_1.equations._eqn_1 0.000998 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.has_sizeof_inst 0.002564 s: category_theory.triangulated.pretriangulated.triangulated_functor.sizeof 0.004057 s: category_theory.triangulated.pretriangulated.triangulated_functor.mk.sizeof_spec 0.001518 s: Mod.regular._proof_1 0.001061 s: Mod.regular._proof_2 0.000612 s: Mod.regular 0.000427 s: Mod.regular_X 0.009429 s: category_theory.subobject.bounded_lattice.equations._eqn_1 0.061580 s: skew_adjoint_matrices_lie_subalgebra_equiv.equations._eqn_1 0.011992 s: category_theory.adjunction.core_hom_equiv.no_confusion_type 0.002508 s: category_theory.limits.pushout_cocone.of_cocone 0.000882 s: category_theory.limits.pushout_cocone.of_cocone_X 0.003527 s: differentiable_on.iterate 0.003658 s: boolean_algebra.core.sizeof 0.000073 s: boolean_algebra.core.has_sizeof_inst 0.054247 s: algebraic_geometry.const_add 0.000119 s: sym2.sym2_equiv_sym'._proof_1 0.148502 s: sym2.sym2_equiv_sym'._proof_3 0.000476 s: quotient.map_mk 0.253241 s: sym2.sym2_equiv_sym'._proof_5 0.007623 s: sym2.sym2_equiv_sym' 0.000438 s: linear_recurrence.is_solution.equations._eqn_1 0.000436 s: filter.germ.linear_ordered_comm_ring._proof_14 0.000220 s: pgame.domineering.right.equations._eqn_1 0.005141 s: measure_theory.measure.is_add_left_invariant.null_iff 0.000272 s: lt_of_sub_neg 0.000787 s: fin2.opt_of_nat._main 0.000335 s: fin2.opt_of_nat._main.equations._eqn_2 0.004337 s: measure_theory.L1.simple_func.integral_congr 0.000150 s: num.mod._main.equations._eqn_2 0.000038 s: num.mod.equations._eqn_2 0.017281 s: with_top.canonically_ordered_add_monoid._match_1.equations._eqn_1 0.003336 s: set.inj_on_Union_of_directed 0.003211 s: subsemiring.mem_map 0.004654 s: subalgebra.mem_map 0.007901 s: integral_closure_map_alg_equiv 0.000702 s: category_theory.iso.trans.equations._eqn_1 0.001060 s: submodule.to_linear_ordered_cancel_add_comm_monoid._proof_3 0.003180 s: topological_space.opens.map_comp_obj' 0.000262 s: plift.map._main.equations._eqn_1 0.000206 s: plift.map.equations._eqn_1 0.000149 s: has_coe_t_aux.rec_on 0.002202 s: add_con.prod._proof_2 0.071898 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_hom_app_hom 0.011477 s: polynomial.gal.unique_gal_X_sub_C.equations._eqn_1 0.007811 s: inv_mul_le_iff' 0.005451 s: mul_inv_le_iff' 0.000513 s: bilin_form_of_real_inner._proof_1 0.000900 s: bilin_form_of_real_inner._proof_2 0.123250 s: bilin_form_of_real_inner 0.146414 s: bilin_form_of_real_inner.equations._eqn_1 0.000326 s: is_right_inv.drec_on 0.018026 s: continuous_multilinear_map.to_continuous_linear_map._proof_2 0.004758 s: submodule.annihilator_mono 0.030657 s: submodule.mem_annihilator' 0.037374 s: submodule.annihilator_supr 0.000469 s: sym2.from_rel_proj_prop 0.005270 s: sym2.from_rel_prop 0.068008 s: real.differentiable_at_exp 0.042191 s: formal_multilinear_series.right_inv._main._pack.equations._eqn_1 0.000035 s: doc_category.inhabited 0.000096 s: pilex.equations._eqn_1 0.000108 s: pilex.inhabited._proof_1 0.000086 s: cochain_complex 0.000227 s: cochain_complex.cohomology_group 0.006176 s: cochain_complex.cohomology_map 0.000328 s: category_theory.pairwise.pair.sizeof_spec 0.000604 s: pi.div_def 0.000863 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_19 0.000117 s: tactic.simp_config.trace_lemmas 0.000145 s: slim_check.format_failure'._main.equations._eqn_2 0.013903 s: valuation.is_equiv.val_eq 0.002503 s: valuation.is_equiv.ne_zero 0.005137 s: add_valuation.is_equiv.ne_top 0.000135 s: list.countp._sunfold 0.000183 s: pSet.embed._match_1 0.000041 s: pSet.embed 0.000405 s: open_embedding.drec_on 0.000551 s: equiv.set_value.equations._eqn_1 0.000395 s: category_theory.creates_limits_of_shape.sizeof 0.000260 s: exists_vector_zero 0.000239 s: filter.has_basis.rec_on 0.007982 s: complex.inv_I 0.002265 s: submodule.is_compl_equiv_proj._proof_2 0.002929 s: submodule.is_compl_equiv_proj._proof_3 0.003293 s: submodule.is_compl_equiv_proj._proof_4 0.001947 s: submodule.linear_proj_of_is_compl_apply_right 0.031130 s: linear_map.linear_proj_of_is_compl_of_proj 0.033955 s: submodule.is_compl_equiv_proj._match_2 0.005884 s: submodule.is_compl_equiv_proj._proof_5 0.005945 s: submodule.is_compl_equiv_proj 0.004640 s: submodule.coe_is_compl_equiv_proj_apply 0.003325 s: mul_equiv.to_Group_iso_inv 0.000073 s: order_dual.inhabited 0.000073 s: order_dual.inhabited.equations._eqn_1 0.000486 s: local_equiv.surj_on 0.000107 s: list.mbor 0.002738 s: equiv.tsum_eq_tsum_of_support 0.000715 s: set.image_hom._proof_2 0.004919 s: set.image_hom 0.005482 s: set.image_hom.equations._eqn_1 0.000925 s: list.tail_append_singleton_of_ne_nil 0.004948 s: category_theory.functor.op_inv._proof_1 0.001332 s: category_theory.limits.comp_reflects_limits_of_shape 0.000246 s: monad_cont.label.sizeof 0.000083 s: monad_cont.label.has_sizeof_inst 0.000214 s: is_regular.ne_zero 0.000107 s: not_is_regular_zero 0.003772 s: add_monoid_hom.finset_sum_apply 0.001219 s: add_monoid_hom.finsupp_sum_apply 0.000077 s: io.equations._eqn_1 0.001788 s: Compactum.topological_space.equations._eqn_1 0.000766 s: rel_embedding.nat_lt.equations._eqn_1 0.005540 s: category_theory.limits.types.binary_coproduct_colimit._proof_1 0.013999 s: power_series.map_comp 0.003718 s: measure_theory.ae_eq_fun.comp.equations._eqn_1 0.074851 s: Hausdorffification.of.equations._eqn_1 0.000584 s: function.support_comp_eq 0.094545 s: category_theory.functor.map_cone_inv_map_cone.equations._eqn_1 0.000504 s: generalized_continued_fraction.continuants_aux._sunfold 0.008898 s: has_continuous_add_of_smooth 0.002947 s: topological_add_group_of_lie_add_group 0.002421 s: matrix.special_linear_group.has_inv.equations._eqn_1 0.001621 s: isometric.coe_const_vsub_symm 0.000289 s: multiplicative.nontrivial.equations._eqn_1 0.000526 s: filter.germ.ordered_cancel_comm_monoid._proof_11 0.001189 s: linear_isometry_equiv.sizeof 0.000264 s: linear_isometry_equiv.has_sizeof_inst 0.000096 s: quiver.total.left 0.000068 s: quiver.total.right 0.000353 s: quiver.total.hom 0.000576 s: quiver.wide_subquiver_equiv_set_total._proof_1 0.000092 s: nat.to_digits._sunfold 0.004856 s: affine_independent_def 0.000477 s: category_theory.sieve.le_pushforward_pullback 0.000212 s: computability.fin_encoding.mk.inj_arrow 0.000582 s: tree.index_of._match_1.equations._eqn_1 0.000307 s: fintype.card_le_of_embedding 0.000308 s: is_left_cancel.dcases_on 0.007891 s: category_theory.strong_epi_of_is_iso.equations._eqn_1 0.000581 s: category_theory.braided_functor.id._proof_1 0.000457 s: category_theory.braided_functor.id._proof_2 0.009263 s: category_theory.braided_functor.id._proof_3 0.002161 s: category_theory.braided_functor.id 0.005029 s: category_theory.braided_functor.id_to_monoidal_functor 0.007699 s: polynomial.semimodule.equations._eqn_1 0.000154 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_1 0.000079 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_2 0.000068 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_3 0.000058 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_4 0.000039 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_5 0.000050 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_6 0.000048 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_7 0.000058 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_9 0.000040 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_10 0.000061 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_11 0.121004 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_13 0.162591 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_14 0.258738 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_15 0.297862 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork._proof_16 0.159780 s: Top.presheaf.sheaf_condition_pairwise_intersections.is_limit_map_cone_of_is_limit_sheaf_condition_fork 0.000381 s: linarith.ineq.to_string._main 0.000028 s: linarith.ineq.to_string 0.000303 s: linarith.ineq.to_string._main.equations._eqn_3 0.000047 s: linarith.ineq.to_string.equations._eqn_3 0.023399 s: uniform_space.separation_quotient.map_comp 0.000499 s: category_theory.functor.right_op_obj 0.000562 s: category_theory.cofinal.lift.equations._eqn_1 0.006165 s: measure_theory.ae_eq_fun.edist_eq_coe 0.006258 s: measure_theory.ae_eq_fun.edist_eq_coe' 0.001367 s: bex_or_left_distrib 0.000073 s: or_congr_left 0.000790 s: set.bex_insert_iff 0.000590 s: algebra.algebra_map_submonoid.equations._eqn_1 0.000784 s: matrix.zero_hom_map_zero 0.000694 s: category_theory.coyoneda.obj.category_theory.limits.has_colimit.equations._eqn_1 0.000705 s: measure_theory.has_finite_integral.left_of_add_measure 0.000228 s: NFA.eval_from.equations._eqn_1 0.001769 s: category_theory.limits.pullback_cone.mk_fst 0.000739 s: interval_integrable.ae_measurable' 0.001457 s: add_submonoid.to_linear_ordered_cancel_add_comm_monoid._proof_2 0.001626 s: add_submonoid.to_linear_ordered_cancel_add_comm_monoid._proof_3 0.006188 s: add_submonoid.to_linear_ordered_cancel_add_comm_monoid 0.006846 s: add_submonoid.to_linear_ordered_cancel_add_comm_monoid.equations._eqn_1 0.000192 s: free_magma.has_mul.equations._eqn_1 0.000361 s: auto.common_normalize_lemma_names 0.000226 s: auto.classical_normalize_lemma_names 0.000428 s: auto.classical_normalize_lemma_names.equations._eqn_1 0.004253 s: continuous_multilinear_map.curry0.equations._eqn_1 0.000561 s: pos_num.cmp._main.equations._eqn_9 0.000104 s: pos_num.cmp.equations._eqn_9 0.001151 s: power_series.map_id 0.003686 s: alternating_map.has_neg.equations._eqn_1 0.010217 s: pow_le_one_iff 0.000403 s: right_cancel_semigroup.no_confusion_type 0.001182 s: category_theory.zigzag_obj_of_zigzag 0.000721 s: set.fintype_sep.equations._eqn_1 0.005610 s: lie_submodule.mono_lie_left 0.067318 s: lie_submodule.sup_lie 0.001144 s: monad_cont.label.mk.sizeof_spec 0.021288 s: continuous_map_algebra._proof_1 0.002388 s: continuous_map_algebra 0.001175 s: mul_semiring_action.rec_on 0.013936 s: matrix.star_mul 0.024086 s: matrix.unitary_group.star_monoid._proof_3 0.000490 s: filter.Limsup_eq_infi_Sup 0.016308 s: filter.Liminf_eq_supr_Inf 0.000678 s: loc_path_connected_space 0.002240 s: loc_path_connected_of_bases 0.000041 s: complete_distrib_lattice.lt._default 0.000073 s: complete_distrib_lattice.lt._default.equations._eqn_1 0.000204 s: omega.int.preform.and.sizeof_spec 0.000338 s: order.is_ideal.cases_on 0.007747 s: category_theory.comma.map_left_id_hom_app_right 0.001515 s: pseudo_metric_space.cases_on 0.001313 s: pseudo_metric_space.no_confusion_type 0.001360 s: pseudo_metric_space.no_confusion 0.067397 s: dual_pair.total 0.076322 s: dual_pair.decomposition 0.081137 s: dual_pair.is_basis 0.076382 s: dual_pair.eq_dual 0.000244 s: is_distinct.drec 0.000153 s: zsqrtd.nonsquare.drec 0.001115 s: char.decidable_is_lower.equations._eqn_1 0.002880 s: cardinal.aleph_idx.initial_seg.equations._eqn_1 0.000747 s: category_theory.from_skeleton_obj 0.000342 s: order.pfilter.mk.sizeof_spec 0.011766 s: category_theory.limits.is_colimit.cocone_point_unique_up_to_iso.equations._eqn_1 0.000170 s: pnat.xgcd_type.flip_z 0.000243 s: decidable.ne_iff_lt_or_gt 0.000106 s: monad.mapm' 0.000361 s: sylow.mk_vector_prod_eq_one 0.000350 s: sylow.mk_vector_prod_eq_one.equations._eqn_1 0.007002 s: subgroup.comap.equations._eqn_1 0.000089 s: cc_config.rec_on 0.003664 s: enat.partial_order._match_4.equations._eqn_1 0.003338 s: local_equiv.restr_eq_of_source_subset 0.000136 s: local_equiv.restr_univ 0.000192 s: functor.const.functor 0.000350 s: set.subsingleton.pairwise_on 0.090129 s: basic_smooth_bundle_core.times_cont_mdiff_proj 0.016233 s: basic_smooth_bundle_core.times_cont_mdiff_at_proj 0.006276 s: basic_smooth_bundle_core.smooth_at_proj 0.005397 s: tangent_bundle.smooth_at_proj 0.000188 s: bitvec.cong._sunfold 0.003427 s: free_add_magma.is_lawful_traversable._proof_4 0.009141 s: submonoid.localization_map.of_mul_equiv_of_dom._match_1.equations._eqn_1 0.055697 s: lagrange.interpolate_neg 0.015766 s: category_theory.full.witness' 0.004276 s: category_theory.pi.eval_map 0.000226 s: omega.ee.repr._main.equations._eqn_4 0.161186 s: pre_tilt.comm_ring.equations._eqn_1 0.026528 s: set.Icc.order_bot.equations._eqn_1 0.125333 s: clifford_algebra.reverse_comp_reverse 0.126921 s: clifford_algebra.reverse_involutive 0.069778 s: clifford_algebra.reverse_reverse 0.000189 s: io.process.spawn_args.cmd 0.001440 s: category_theory.prod.inverse_associator_is_equivalence 0.000259 s: AddCommGroup.colimits.prequotient.inhabited 0.000246 s: AddCommGroup.colimits.colimit_type.inhabited 0.018464 s: category_theory.sigma.desc_uniq_hom_app 0.000812 s: parser.prog.seq 0.000050 s: string.front 0.000179 s: encodable.list.equations._eqn_1 0.003345 s: algebraic_geometry.PresheafedSpace.hom.mk.sizeof_spec 0.000147 s: writer_t.uliftable 0.006945 s: inner_re_zero_right 0.000355 s: is_glb_le_is_lub 0.000413 s: cInf_le_cSup 0.000937 s: set.image_neg_Icc 0.000078 s: list.range_core._sunfold 0.000132 s: category_theory.limits.wide_pushout_shape.category.equations._eqn_1 0.000107 s: tactic.dsimp_config.cases_on 0.000189 s: tactic.dsimp_config.no_confusion_type 0.000324 s: tactic.dsimp_config.no_confusion 0.000583 s: tactic.dsimp_config.mk.inj 0.002039 s: tactic.ring2.csring_expr.eval._main.equations._eqn_4 0.000080 s: restrict_scalars.inhabited 0.000084 s: restrict_scalars.inhabited.equations._eqn_1 0.000079 s: io.proc.spawn.equations._eqn_1 0.052346 s: ring_equiv.restrict_roots_of_unity._proof_1 0.047064 s: ring_equiv.restrict_roots_of_unity._proof_3 0.034368 s: ring_equiv.restrict_roots_of_unity 0.048559 s: ring_equiv.restrict_roots_of_unity_symm 0.025755 s: zsqrtd.linear_ordered_comm_ring.equations._eqn_1 0.081144 s: complex.tanh_conj 0.005000 s: complex.of_real_tanh_of_real_re 0.000337 s: nhds_within_Iio_is_measurably_generated 0.000586 s: ordnode.erase._main 0.001051 s: ordnode.erase._main.equations._eqn_2 0.007378 s: mv_polynomial.constant_coeff_map 0.000551 s: well_ordering_rel.is_well_order.equations._eqn_1 0.029308 s: tensor_algebra.algebra_map_left_inverse 0.008270 s: equiv.sum_congr_symm 0.000564 s: equiv.perm.sum_congr_symm 0.001925 s: option.pbind_eq_none 0.016274 s: submodule.add_comm_group.equations._eqn_1 0.000398 s: int.neg_add_lt_left_of_lt_add 0.006652 s: filter.realizer.map.equations._eqn_1 0.000462 s: parser.static.foldl 0.000425 s: parser.static.foldl.equations._eqn_1 0.072684 s: category_theory.Ran_map_app 0.011482 s: holor.cprank_max.dcases_on 0.001081 s: monoid_hom.fst.equations._eqn_1 0.013487 s: complex.im_lm.equations._eqn_1 0.000216 s: znum.pred._main.equations._eqn_3 0.000046 s: znum.pred.equations._eqn_3 0.000318 s: decidable_eq_of_subsingleton._main.equations._eqn_1 0.000256 s: decidable_eq_of_subsingleton.equations._eqn_1 0.014943 s: category_theory.id_lifts_cocone._proof_1 0.002501 s: primcodable.ulower._proof_1 0.002648 s: primcodable.ulower._proof_2 0.001388 s: primcodable.ulower 0.000218 s: pos_num.bit1.sizeof_spec 0.000313 s: equiv.finset_congr 0.000295 s: equiv.finset_congr.equations._eqn_1 0.014297 s: pequiv.semilattice_inf_bot._proof_8 0.000366 s: matrix.unitary_group.inhabited 0.003710 s: category_theory.limits.cones.functoriality_equivalence_functor 0.000287 s: lazy_list.head._main.equations._eqn_2 0.008140 s: ordered_comm_monoid.mk.inj 0.007533 s: ordered_comm_monoid.mk.inj_arrow 0.000397 s: polynomial.is_root.decidable._proof_1 0.000175 s: polynomial.is_root.decidable 0.000337 s: polynomial.is_root.decidable.equations._eqn_1 0.000460 s: measure_theory.measure.haar.haar_product.equations._eqn_1 0.000213 s: surreal.has_zero.equations._eqn_1 0.000050 s: conditionally_complete_lattice.lt._default 0.000054 s: conditionally_complete_linear_order.lt._default 0.000029 s: conditionally_complete_linear_order_bot.lt._default 0.000082 s: conditionally_complete_linear_order_bot.lt._default.equations._eqn_1 0.000546 s: is_unit.continuous_at_const_smul_iff 0.000996 s: continuous_at_const_smul_iff' 0.000169 s: complex.abs.cau_seq.is_complete.equations._eqn_1 0.000599 s: multiset.pi.cons.equations._eqn_1 0.002081 s: tangent_bundle.topological_space.equations._eqn_1 0.000063 s: lazy_list.decidable_eq._main._proof_1 0.000901 s: lazy_list.decidable_eq._main.equations._eqn_1 0.001346 s: hahn_series.summable_family.hsum_coeff 0.003622 s: hahn_series.summable_family.support_hsum_subset 0.009938 s: hahn_series.summable_family.smul_apply 0.000682 s: finset.subset_bUnion_of_mem 0.032468 s: hahn_series.summable_family.hsum_smul 0.014326 s: hahn_series.summable_family.lsum._proof_2 0.001573 s: mv_polynomial.constant_coeff_monomial 0.000801 s: tactic_doc._2548916801 0.001427 s: tactic.ring2.horner_expr.cseval._main.equations._eqn_1 0.000321 s: tactic.ring2.horner_expr.cseval.equations._eqn_1 0.187478 s: measure_theory.has_finite_integral.min_zero 0.021293 s: option.pmap_eq_map 0.000540 s: mvpfunctor.cast_lastB.equations._eqn_1 0.185837 s: polynomial.is_splitting_field.drec 0.000054 s: rsimp.config.max_rounds._default 0.000512 s: nat.arithmetic_function.pmul.equations._eqn_1 0.000140 s: list.sublist_of_prefix 0.029976 s: isometric.group._proof_7 0.000337 s: set.inter_subset_ite 0.132593 s: pre_tilt.integral_domain._proof_2 0.001159 s: measure_theory.simple_func.piecewise_apply 0.018154 s: finsupp.map_domain.add_monoid_hom.equations._eqn_1 0.015564 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided_obj_to_lax_monoidal_functor_μ 0.001918 s: turing.TM1to1.tr._main 0.000210 s: turing.TM1to1.tr 0.001752 s: turing.TM1to1.tr._main.equations._eqn_1 0.000677 s: turing.TM1to1.tr.equations._eqn_1 0.007432 s: subalgebra.no_zero_smul_divisors_bot 0.001473 s: Compactum.t2_space.equations._eqn_1 0.005894 s: sesq_form.comp.equations._eqn_1 0.001426 s: is_galois.galois_insertion_intermediate_field_subgroup._proof_1 0.000811 s: surreal.lift₂.equations._eqn_1 0.001674 s: homological_complex.homology._proof_1 0.000377 s: slim_check.and_counter_example._main.equations._eqn_7 0.000328 s: complex.log_of_real_re 0.000484 s: set.pi_set_coe.can_lift'.equations._eqn_1 0.000565 s: filter.germ.linear_ordered_comm_ring._proof_4 0.000125 s: category_theory.subobject.complete_lattice._proof_16 0.000077 s: algebraic_geometry.SheafedSpace.topological_space._proof_1 0.000039 s: algebraic_geometry.SheafedSpace.topological_space._proof_4 0.001213 s: algebraic_geometry.SheafedSpace.topological_space 0.001252 s: algebraic_geometry.SheafedSpace.topological_space.equations._eqn_1 0.000034 s: tactic.ext_state.fuel._default 0.006229 s: pgame.impartial.impartial_add._main._pack.equations._eqn_1 0.002603 s: pgame.impartial.impartial_add._main.equations._eqn_1 0.002003 s: pgame.impartial.impartial_add.equations._eqn_1 0.000100 s: rat.metric_space.equations._eqn_1 0.009153 s: dfinsupp.induction₂ 0.004424 s: continuous_linear_map.range_prod_eq 0.009791 s: localization.mk_one_eq_of 0.000552 s: lie_submodule.inhabited 0.011711 s: category_theory.core.functor_to_core._proof_3 0.072029 s: is_precomplete.prec' 0.084830 s: is_precomplete_iff 0.000233 s: equiv.subsingleton.symm 0.000289 s: equiv.equiv_subsingleton_dom 0.000285 s: equiv.equiv_subsingleton_dom.equations._eqn_1 0.016548 s: filter.seq._match_4.equations._eqn_1 0.000474 s: category_theory.limits.colimit.cocone_morphism 0.002073 s: category_theory.limits.colimit.cocone_morphism.equations._eqn_1 0.002629 s: continuous_linear_equiv.mk.inj_arrow 0.001354 s: list.reduce_option_singleton 0.000026 s: omega.nat.preform.repr 0.000583 s: omega.nat.preform.repr._main.equations._eqn_3 0.000152 s: omega.nat.preform.repr.equations._eqn_3 0.002592 s: lucas_lehmer.s_mod._main.equations._eqn_2 0.096798 s: linear_map.to_continuous_linear_map.equations._eqn_1 0.000251 s: language.inhabited.equations._eqn_1 0.018920 s: category_theory.pretopology.order_top.equations._eqn_1 0.017680 s: conditionally_complete_lattice.copy._aux_4 0.009942 s: conditionally_complete_lattice.copy._aux_5 0.015681 s: conditionally_complete_lattice.copy._aux_6 0.014923 s: conditionally_complete_lattice.copy._aux_8 0.015016 s: conditionally_complete_lattice.copy._aux_9 0.052263 s: conditionally_complete_lattice.copy._aux_10 0.057443 s: conditionally_complete_lattice.copy._aux_11 0.054665 s: conditionally_complete_lattice.copy._aux_12 0.055024 s: conditionally_complete_lattice.copy._aux_13 0.018248 s: conditionally_complete_lattice.copy 0.000765 s: filter.tendsto.nnnorm 0.130309 s: findim_vector_span_of_affine_independent 0.012714 s: vector_span_eq_top_of_affine_independent_of_card_eq_findim_add_one 0.003605 s: prod.mul_action._match_1.equations._eqn_1 0.000046 s: order_top.lt._default 0.000076 s: semilattice_sup_top.lt._default 0.000083 s: semilattice_sup_top.lt._default.equations._eqn_1 0.000331 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_1 0.017819 s: submonoid.localization_map.mul_equiv_of_mul_equiv_mk' 0.002513 s: list.head_mul_tail_prod' 0.000360 s: list.take'._main.equations._eqn_1 0.125811 s: aeval_self_char_poly 0.000201 s: linear_ordered_comm_ring.npow._default 0.000215 s: linear_ordered_field.npow._default 0.000417 s: linear_ordered_field.npow._default.equations._eqn_1 0.013342 s: mem_closure_of_continuous 0.007625 s: mem_closure_of_continuous2 0.005024 s: convex.closure 0.000981 s: tactic_doc._3550541980 0.000046 s: io.fs.rename 0.000044 s: io.fs.rename.equations._eqn_1 0.000544 s: ring_quot.rel.rec_on 0.004037 s: polynomial.pow_add_expansion._main._proof_1 0.003052 s: polynomial.pow_add_expansion._main.equations._eqn_1 0.001080 s: polynomial.pow_add_expansion.equations._eqn_1 0.001311 s: category_theory.cofinal.extend_cocone_obj_X 0.000660 s: monad_io_file_system.sizeof 0.000076 s: monad_io_file_system.has_sizeof_inst 0.000761 s: list.maximum_singleton 0.000331 s: list.maximum_nil 0.003077 s: list.maximum_cons 0.013355 s: list.minimum_cons 0.003231 s: polynomial.coeff_to_subring' 0.000229 s: category_theory.pairwise.id._main.equations._eqn_2 0.045830 s: ring.fractional_ideal.mem_singleton_mul 0.215420 s: ring.fractional_ideal.exists_eq_span_singleton_mul 0.000357 s: subgroup.to_linear_ordered_comm_group._proof_1 0.000988 s: buffer.to_list_nil 0.000143 s: parser.prog.decorate_error_iff 0.016702 s: parser.prog.pure 0.010726 s: parser.prog.mmap' 0.002247 s: parser.prog.char_buf_iff 0.000127 s: buffer.ext_iff 0.000077 s: string.to_list_empty 0.000884 s: parser.prog.str_iff 0.251830 s: has_fderiv_at.arctan 0.023727 s: parser.not_failure_eq_done 0.002401 s: emetric.Hausdorff_edist_self_closure 0.019377 s: emetric.Hausdorff_edist_closure₁ 0.000837 s: emetric.Hausdorff_edist_closure₂ 0.000811 s: metric.Hausdorff_dist_closure₂ 0.001073 s: stream.tail_zip 0.000423 s: roption.of_option_decidable._main.equations._eqn_2 0.002135 s: ideal.quotient_mapₐ._proof_4 0.004209 s: nonneg_ring.nonneg 0.017714 s: nonneg_ring.zero_nonneg 0.001318 s: function.embedding.swap_comp 0.008047 s: category_theory.prod_preserves_connected_limits.γ₂_app 0.036298 s: category_theory.prod_preserves_connected_limits._proof_3 0.000160 s: io.process.spawn_args.rec_on 0.010281 s: finite_dimensional.fin_basis 0.154219 s: is_basis.sup_norm_le_norm 0.023422 s: continuous_linear_map.map_sum 0.047369 s: is_basis.op_norm_le 0.586828 s: continuous_linear_map.topological_space.second_countable_topology 0.639619 s: continuous_linear_map.topological_space.second_countable_topology.equations._eqn_1 0.005808 s: closed_embedding_of_continuous_injective_closed 0.000331 s: closed_embedding_sigma_mk 0.000342 s: filter.tendsto.is_bounded_under_ge 0.014645 s: localization_map.mk'_self' 0.000644 s: random_gen.mk.sizeof_spec 0.000384 s: emetric_space_pi._proof_1 0.000205 s: emetric_space_pi._proof_2 0.000319 s: emetric_space_pi._proof_3 0.001686 s: emetric_space_pi._proof_4 0.000803 s: emetric_space_pi 0.000766 s: emetric_space_pi.equations._eqn_1 0.000164 s: multiset.disjoint_comm 0.002669 s: multiset.disjoint_ndinsert_right 0.005098 s: polynomial.pow_sub_pow_factor._main._proof_2 0.002112 s: category_theory.limits.cokernel_comp_is_iso._proof_1 0.005176 s: finsupp.single_multiset_sum 0.000860 s: finsupp.single_finset_sum 0.000556 s: finsupp.single_sum 0.038152 s: has_strict_fderiv_at.const_smul 0.000241 s: list.perm.append_cons 0.011831 s: affine_equiv.to_affine_map.equations._eqn_1 0.000846 s: unique_diff_within_at_inter' 0.000813 s: unique_diff_within_at.inter' 0.002720 s: unique_mdiff_within_at.inter' 0.001678 s: finmap.has_decidable_eq._main.equations._eqn_1 0.001609 s: category_theory.limits.comp_reflects_colimits_of_shape 0.000659 s: category_theory.limits.comp_reflects_colimits 0.000901 s: category_theory.limits.comp_reflects_colimits.equations._eqn_1 0.000646 s: add_le_of_nonpos_right 0.004176 s: category_theory.lax_monoidal.left_unitality 0.000333 s: eckmann_hilton.is_unital.dcases_on 0.000423 s: continuous.connected_components_lift_factors 0.000589 s: finset.Ico.succ_top' 0.001658 s: psigma.subtype_ext_iff 0.000812 s: category_theory.over.coprod_obj_2 0.000660 s: filter.is_basis.filter_basis.equations._eqn_1 0.000773 s: left_ord_continuous.lt_iff 0.000037 s: ennreal.equations._eqn_1 0.000728 s: add_monoid_hom.semimodule._proof_1 0.000466 s: list.decidable_infix._main._proof_3 0.002680 s: list.decidable_infix._main.equations._eqn_3 0.000419 s: set.enumerate._main 0.000040 s: set.enumerate 0.007272 s: ordered_comm_semiring.no_confusion 0.025012 s: ordered_comm_semiring.mk.inj 0.000178 s: parser.many'.equations._eqn_1 0.007592 s: probability_theory.indep_sets.symm 0.000320 s: probability_theory.indep.symm 0.010240 s: uniform_space.complete_lattice.equations._eqn_1 0.001858 s: category_theory.limits.biproduct.ι_π_self_assoc 0.000816 s: set.Ici.semilattice_inf_top._proof_2 0.000975 s: list.kextract.equations._eqn_2 0.004508 s: colex.sdiff_lt_sdiff_iff_lt 0.003947 s: finset.sdiff_union_inter 0.000342 s: finset.disjoint_sdiff_inter 0.037123 s: colex.sum_pow_two_lt_iff_lt 0.000111 s: pos_num.of_znum.equations._eqn_3 0.011686 s: measure_theory.simple_func.lintegral_map_equiv 0.000143 s: is_compl.left_unique 0.000199 s: is_compl.eq_compl 0.023031 s: order.ideal.prime_pair.compl_F_eq_I 0.000588 s: order.ideal.prime_pair.F_is_prime 0.000079 s: iff.is_trans 0.000092 s: iff.is_trans.equations._eqn_1 0.007584 s: category_theory.of_type_monad.equations._eqn_1 0.001427 s: complete_lattice.independent_def' 0.002516 s: alg_hom.map_div 0.002416 s: alg_equiv.map_div 0.000579 s: polynomial.contract._proof_1 0.001603 s: polynomial.contract._proof_2 0.000701 s: polynomial.contract 0.000545 s: polynomial.coeff_contract 0.001375 s: lie_algebra.mk.inj 0.002522 s: polynomial.iterated_deriv_smul 0.014994 s: category_theory.equivalence.inverse_additive.equations._eqn_1 0.000468 s: topological_fiber_bundle_core.local_triv_at_ext 0.007985 s: tprod.measurable_space._main.equations._eqn_2 0.008423 s: linear_map.range_eq_bot 0.005654 s: linear_map.surjective_or_eq_zero 0.001310 s: linear_map.surjective_of_ne_zero 0.001538 s: linear_map.bijective_or_eq_zero 0.001363 s: linear_map.bijective_of_ne_zero 0.017192 s: linear_map.module.End.division_ring._proof_26 0.015746 s: field.mk.sizeof_spec 0.007888 s: dist_sub_sub_le_of_le 0.002661 s: order_iso.preimage_Iic 0.002430 s: order_iso.preimage_Ioc 0.000236 s: function.commute.comp_right 0.098964 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor.equations._eqn_1 0.001373 s: category_theory.limits.has_zero_object_punit._proof_1 0.000523 s: category_theory.limits.has_zero_object_punit._proof_2 0.000294 s: category_theory.limits.has_zero_object_punit 0.000138 s: category_theory.pairwise.hom_inhabited 0.403215 s: continuous_multilinear_curry_right_equiv.equations._eqn_1 0.018015 s: finset.inter_distrib_right 0.000287 s: fin.has_well_founded.equations._eqn_1 0.002460 s: local_homeomorph.is_image.union 0.003493 s: set.preimage_sub_const_Ici 0.112060 s: intermediate_field.eq_of_le_of_findim_eq 0.016820 s: category_theory.decomposed_to.full._proof_1 0.013381 s: category_theory.decomposed_to.full 0.016933 s: category_theory.decomposed_to.faithful 0.003162 s: category_theory.decomposed_to.ess_surj 0.000531 s: category_theory.decomposed_to.is_equivalence 0.000238 s: category_theory.decomposed_equiv 0.000157 s: order_iso.Ici_bot._proof_1 0.000812 s: equiv.perm.inv_def 0.000854 s: free_group.closure_subset 0.000174 s: nnreal.ne_iff 0.000232 s: fp.float.sizeof 0.000087 s: fp.float.nan.sizeof_spec 0.005243 s: free_add_monoid.closure_range_of 0.001909 s: add_monoid_hom.map_mclosure 0.002217 s: add_submonoid.closure_eq_mrange 0.003163 s: add_submonoid.exists_list_of_mem_closure 0.000773 s: Module.colimits.prequotient.add.inj 0.000695 s: Module.colimits.prequotient.add.inj_eq 0.000027 s: rbnode.color.has_sizeof_inst 0.004814 s: euclidean_space.equations._eqn_1 0.000326 s: pos_num.lxor._main.equations._eqn_2 0.000037 s: pos_num.lxor.equations._eqn_2 0.001049 s: homeomorph.symm_map_nhds_eq 0.006078 s: continuous_linear_equiv.symm_map_nhds_eq 0.000450 s: category_theory.representable.X 0.000455 s: category_theory.representable.w 0.005504 s: category_theory.sheaf.sheaf_for_finest_topology 0.000708 s: category_theory.sheaf.is_sheaf_yoneda_obj 0.000295 s: category_theory.sheaf.is_sheaf_of_representable 0.000962 s: semimodule.no_confusion_type 0.000948 s: semimodule.no_confusion 0.001654 s: semimodule.mk.inj 0.001497 s: semimodule.mk.inj_arrow 0.005124 s: category_theory.limits.punit_cocone_is_colimit._proof_1 0.001299 s: is_lawful_applicative.seq_right_eq 0.003206 s: parser.seq_right_eq_done 0.000498 s: continuous_within_at.neg 0.005269 s: linear_ordered_add_comm_monoid.cases_on 0.000139 s: quaternion.normed_ring._proof_1 0.005287 s: quaternion.normed_ring 0.003406 s: quaternion.norm_coe 0.046138 s: quaternion.normed_algebra 0.000241 s: finmap.has_union.equations._eqn_1 0.000111 s: exists_prop_decidable._match_2.equations._eqn_1 0.001104 s: filter.tendsto_Ico_Iic_Iio 0.000271 s: filter.tendsto_Ioo_Iic_Iio 0.000391 s: filter.tendsto_Ioo_Iic_Iio.equations._eqn_1 0.000353 s: language.mem_star 0.009843 s: language.star_eq_supr_pow 0.001414 s: set.image2_Union_right 0.000781 s: language.mul_supr 0.003094 s: language.mul_self_star_comm 0.002374 s: polynomial.dickson._main.equations._eqn_1 0.000149 s: monad_io.catch 0.000898 s: monad_io_is_alternative 0.000966 s: monad_io_is_alternative.equations._eqn_1 0.000666 s: slim_check.retry._sunfold 0.001289 s: int.div._main.equations._eqn_2 0.001097 s: nat.prime.sum_proper_divisors 0.000779 s: nat.prime.sum_divisors 0.005226 s: nat.prod_divisors_prime 0.000522 s: set.maps_to.inter_inter 0.036281 s: function.injective.linear_ordered_comm_group._proof_8 0.001891 s: category_theory.subobject.order_top.equations._eqn_1 0.000595 s: slim_check.or_counter_example._main.equations._eqn_1 0.000252 s: slim_check.or_counter_example.equations._eqn_1 0.000324 s: seminorm.inhabited._proof_1 0.002529 s: seminorm.inhabited._proof_2 0.002261 s: seminorm.inhabited 0.000071 s: tactic.tfae.arrow.left_right.inj_eq 0.000075 s: order_iso.of_cmp_eq_cmp._proof_1 0.016740 s: order_iso.of_cmp_eq_cmp._proof_2 0.014194 s: order_iso.of_cmp_eq_cmp._proof_3 0.012300 s: order_iso.of_cmp_eq_cmp._proof_4 0.011331 s: order_iso.of_cmp_eq_cmp 0.006867 s: int.nat_abs_le_iff_mul_self_le 0.000985 s: int.nat_abs_le_iff_sq_le 0.001032 s: filter.has_basis.eq_bot_iff 0.000119 s: order_dual.topological_space.equations._eqn_1 0.000568 s: measure_theory.finite_measure.drec 0.000100 s: has_singleton.cases_on 0.000095 s: has_singleton.no_confusion_type 0.000249 s: has_singleton.no_confusion 0.000127 s: has_singleton.mk.inj 0.000080 s: has_singleton.mk.inj_arrow 0.001005 s: library_note._1513516912 0.000150 s: set.mul_indicator_hom._proof_1 0.000987 s: set.mul_indicator_hom 0.000835 s: set.mul_indicator_hom.equations._eqn_1 0.001154 s: set.univ_mul_univ 0.000947 s: nat.canonically_linear_ordered_add_monoid._proof_12 0.005570 s: category_theory.limits.binary_cofan.is_colimit.desc'_coe 0.000214 s: seq1.to_seq._main 0.130341 s: is_basis.to_dual_equiv.equations._eqn_1 0.023043 s: category_theory.limits.wide_pullback_shape.subsingleton_hom.equations._eqn_1 0.014714 s: finset.prod_range_div 0.011196 s: inv_le_inv_iff 0.000364 s: inv_le' 0.000111 s: equiv.refl_to_local_equiv 0.000429 s: nonarchimedean_group.to_topological_group 0.000498 s: is_add_monoid_hom.id 0.001622 s: filter.lim_eq_iff 0.000129 s: pregroupoid.inhabited 0.000214 s: pregroupoid.inhabited.equations._eqn_1 0.005181 s: category_theory.comonad.right_counit_assoc 0.079224 s: polynomial.splitting_field_aux.succ 0.000088 s: tactic.ring2.horner_expr.has_to_string 0.000065 s: tactic.ring2.horner_expr.has_to_string.equations._eqn_1 0.010743 s: partrec₂.comp₂ 0.000188 s: set.range.nonempty 0.001208 s: subset_affine_span 0.404268 s: affine.simplex.orthogonal_projection_eq_circumcenter_of_exists_dist_eq 0.310690 s: affine.simplex.orthogonal_projection_eq_circumcenter_of_dist_eq 0.090900 s: polynomial.cyclotomic_zero 0.299934 s: polynomial.cyclotomic'_eq_X_pow_sub_one_div 0.343749 s: polynomial.cyclotomic_eq_prod_X_sub_primitive_roots 0.000923 s: rbnode.balance1_node._main.equations._eqn_3 0.027056 s: tensor_product.compatible_smul.sizeof 0.002337 s: tensor_product.compatible_smul.has_sizeof_inst 0.002839 s: direct_sum.gcomm_monoid.no_confusion 0.003154 s: direct_sum.gcomm_monoid.mk.inj 0.000179 s: topological_semiring.cases_on 0.008986 s: znum.cast_mul 0.002350 s: cSup_lower_bounds_eq_cInf 0.009690 s: ωCPO.has_equalizers.equalizer_ι.equations._eqn_1 0.000248 s: num.ldiff._main.equations._eqn_1 0.000071 s: buffer.mem 0.000210 s: nat.canonically_linear_ordered_add_monoid._proof_1 0.000151 s: nat.canonically_linear_ordered_add_monoid._proof_2 0.000101 s: nat.canonically_linear_ordered_add_monoid._proof_3 0.001622 s: nat.canonically_linear_ordered_add_monoid._proof_4 0.000435 s: nat.canonically_linear_ordered_add_monoid._proof_5 0.000163 s: nat.canonically_linear_ordered_add_monoid._proof_6 0.000096 s: nat.canonically_linear_ordered_add_monoid._proof_8 0.000383 s: nat.canonically_linear_ordered_add_monoid._proof_9 0.000290 s: nat.canonically_linear_ordered_add_monoid._proof_10 0.001101 s: nat.canonically_linear_ordered_add_monoid._proof_11 0.001939 s: nat.canonically_linear_ordered_add_monoid._proof_14 0.016007 s: nat.canonically_linear_ordered_add_monoid 0.013930 s: nat.canonically_linear_ordered_add_monoid.equations._eqn_1 0.040820 s: measure_theory.mem_ℒp.to_Lp_const_smul 0.000323 s: continuous_comm_ring._proof_1 0.047737 s: continuous_comm_ring 0.000596 s: set.finite.exists_finset 0.018081 s: ess_inf_measure_zero 0.000454 s: topological_fiber_bundle_core.local_triv_at 0.000966 s: topological_fiber_bundle_core.local_triv_at.equations._eqn_1 0.000269 s: pfunctor.Idx.inhabited 0.000270 s: pfunctor.Idx.inhabited.equations._eqn_1 0.072092 s: function.injective.integral_domain._proof_1 0.087183 s: function.injective.integral_domain._proof_2 0.122545 s: function.injective.integral_domain._proof_3 0.130948 s: function.injective.integral_domain._proof_4 0.112225 s: function.injective.integral_domain._proof_6 0.102404 s: function.injective.integral_domain._proof_7 0.122161 s: function.injective.integral_domain._proof_9 0.115545 s: function.injective.integral_domain._proof_12 0.110444 s: function.injective.integral_domain._proof_13 0.085855 s: function.injective.integral_domain._proof_15 0.083928 s: function.injective.integral_domain._proof_16 0.014299 s: function.injective.integral_domain._proof_17 0.005089 s: function.injective.integral_domain._proof_18 0.175377 s: function.injective.integral_domain 0.207157 s: function.injective.integral_domain.equations._eqn_1 0.000056 s: expr.address.has_repr 0.000037 s: expr.address.has_repr.equations._eqn_1 0.003093 s: normal_space.regular_space.equations._eqn_1 0.000400 s: filter.hyperfilter_le_cofinite 0.001625 s: filter.nmem_hyperfilter_of_finite 0.000064 s: set.finite.nmem_hyperfilter 0.000159 s: filter.compl_mem_hyperfilter_of_finite 0.000059 s: set.finite.compl_mem_hyperfilter 0.000267 s: filter.mem_hyperfilter_of_finite_compl 0.078148 s: category_theory.Lan.loc.equations._eqn_1 0.008391 s: nat.arithmetic_function.zeta_unit 0.002313 s: nat.arithmetic_function.zeta_unit.equations._eqn_1 0.000042 s: lazy_list.interleave_all 0.000271 s: lazy_list.interleave_all._main.equations._eqn_1 0.000177 s: lazy_list.interleave_all.equations._eqn_1 0.000230 s: CpltSepUniformSpace.coe_of 0.000594 s: lazy_list.nth._main.equations._eqn_2 0.000132 s: lazy_list.nth.equations._eqn_2 0.007256 s: lie_module_equiv.rec_on 0.000437 s: filter.cocompact.equations._eqn_1 0.005196 s: alg_hom.finite_type.comp_surjective 0.000068 s: format.color.blue.inj 0.000038 s: format.color.blue.inj_arrow 0.000556 s: finset.min'_subset 0.001737 s: list.Ico.eq_cons 0.000473 s: multiset.Ico.eq_cons 0.000618 s: finset.Ico.insert_succ_bot 0.000684 s: free_add_magma.traverse_eq 0.004941 s: tangent_bundle.smooth_manifold_with_corners.equations._eqn_1 0.001998 s: Module.comp_def 0.001708 s: linear_map.range_comp_of_range_eq_top 0.001090 s: linear_equiv.range_comp 0.056192 s: Module.subobject_Module._proof_1 0.064683 s: Module.subobject_Module._proof_2 0.018314 s: linear_map.range_comp_le_range 0.163613 s: Module.subobject_Module._proof_3 0.041378 s: Module.subobject_Module 0.000795 s: Module.well_powered_Module 0.002742 s: Module.well_powered_Module.equations._eqn_1 0.004577 s: mul_semiring_action_hom.coe_fn_coe' 0.000177 s: tactic.rewrite_search.dir_pair.cases_on 0.021058 s: tendsto_rpow_neg_at_top 0.000105 s: sum.bifunctor.equations._eqn_1 0.000259 s: with_top.has_le.le.is_total 0.000258 s: with_top.has_le.le.is_total.equations._eqn_1 0.000253 s: list.modify_head._main.equations._eqn_2 0.000261 s: num.test_bit._main.equations._eqn_2 0.000039 s: num.test_bit.equations._eqn_2 0.013466 s: num.test_bit_to_nat 0.000057 s: irrational_neg_iff 0.003946 s: ordinal.div_eq_zero_of_lt 0.000070 s: rat.inhabited.equations._eqn_1 0.001038 s: finmap.disjoint.decidable_rel 0.000023 s: rbnode.color.black.inj 0.000044 s: rbnode.color.black.inj_eq 0.000181 s: category_theory.skeleton.inhabited 0.002810 s: continuous_linear_equiv.coe_to_linear_equiv 0.000588 s: order_dual.semilattice_inf_top._proof_6 0.000387 s: preorder.is_total_preorder.equations._eqn_1 0.002389 s: measure_theory.simple_func.range_zero 0.001295 s: metric_space.mk.sizeof_spec 0.001231 s: cardinal.mk_compl_eq_mk_compl_infinite 0.000782 s: parser.bounded.sep_by1.equations._eqn_1 0.000433 s: list.partition_map._sunfold 0.001259 s: bernoulli'.equations._eqn_1 0.000929 s: category_theory.iso.trans_inv 0.003543 s: category_theory.iso.hom_congr_trans 0.003045 s: category_theory.iso.trans_conj 0.343706 s: complex.im_clm.equations._eqn_1 0.000209 s: state_t.sizeof 0.000683 s: state_t.mk.sizeof_spec 0.003502 s: category_theory.limits.is_image.self._proof_1 0.000648 s: category_theory.limits.is_image.self 0.035520 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_is_limit.equations._eqn_1 0.000435 s: measure_theory.measure_preserving.id 0.008381 s: measure_theory.measure_preserving.comp 0.002378 s: measure_theory.measure_preserving.iterate 0.001339 s: submonoid.to_ordered_cancel_comm_monoid._proof_1 0.000805 s: submonoid.to_ordered_cancel_comm_monoid._proof_2 0.000808 s: submonoid.to_ordered_cancel_comm_monoid._proof_3 0.004112 s: submonoid.to_ordered_cancel_comm_monoid 0.002825 s: submonoid.to_ordered_cancel_comm_monoid.equations._eqn_1 0.000899 s: turing.tm2_computable_in_time.cases_on 0.003901 s: hyperreal.infinite_mul_of_not_infinitesimal_infinite 0.005133 s: int.div_lt_of_lt_mul 0.000169 s: category_theory.mono_over.pullback_top._proof_1 0.002638 s: category_theory.mono_over.pullback_top._proof_2 0.006602 s: category_theory.mono_over.pullback_top._proof_3 0.011949 s: category_theory.mono_over.pullback_top._proof_4 0.015025 s: category_theory.mono_over.pullback_top 0.002544 s: mul_equiv.to_Group_iso_hom 0.000196 s: random_gen.rec_on 0.000420 s: monoid_hom.eq_locus._proof_1 0.001449 s: monoid_hom.eq_locus._proof_3 0.001697 s: monoid_hom.eq_locus 0.004187 s: monoid_hom.eq_on_closure 0.000611 s: direct_sum.grade_zero.comm_semiring._proof_1 0.030563 s: finset.sum_eq_sum_Ico_succ_bot 0.006369 s: filter.eventually_eq_iff_sub 0.002843 s: tensor_product.smul.aux.equations._eqn_1 0.000589 s: deriv_neg 0.003941 s: deriv_neg'' 0.002091 s: list.nth_le_zero 0.003137 s: category_theory.fork_ι_comp_cofork_π_assoc 0.001818 s: order_iso.preimage_Ico 0.000309 s: uniform_space.completion.comm_ring._proof_2 0.000051 s: category_theory.limits.walking_pair.left.inj_eq 0.000775 s: homeomorph.image._proof_1 0.000614 s: homeomorph.image._proof_2 0.003843 s: homeomorph.image._proof_4 0.003597 s: homeomorph.image 0.001704 s: int.rem._main.equations._eqn_3 0.000322 s: category_theory.sum._match_1.equations._eqn_2 0.002975 s: subgroup.card_quotient_dvd_card 0.059759 s: mul_action.card_modeq_card_fixed_points 0.000936 s: set.Iic.semilattice_inf_bot._proof_5 0.015894 s: witt_vector.frobenius.equations._eqn_1 0.000271 s: category_theory.Lan.adjunction._proof_1 0.000550 s: category_theory.Lan.adjunction._proof_2 0.000383 s: category_theory.Lan.adjunction._proof_3 0.005222 s: category_theory.Lan.adjunction._proof_4 0.004318 s: category_theory.Lan.adjunction 0.004196 s: category_theory.Lan.adjunction.equations._eqn_1 0.003844 s: vector.scanl_cons 0.002833 s: vector.scanl_singleton 0.009105 s: vector.scanl_nth 0.051612 s: inv_nonzero 0.471936 s: coe_inv_of_nonzero 0.005116 s: monoid_algebra.of_injective 0.000640 s: inv_of_inv_of 0.000179 s: measure_theory.locally_finite_measure.rec_on 0.000206 s: string.push._main.equations._eqn_1 0.002721 s: simple_graph.is_SRG_of.nadj_common 0.000040 s: nat.ibelow 0.299363 s: interval_integral.integral_has_fderiv_within_at_of_tendsto_ae 0.000816 s: add_submonoid.to_ordered_cancel_add_comm_monoid._proof_2 0.031024 s: continuous_linear_map.fst_prod_snd 0.001081 s: distrib_mul_action.hom_add_monoid_hom._proof_1 0.000340 s: distrib_mul_action.hom_add_monoid_hom 0.046831 s: lt_of_nat_ceil_lt 0.000161 s: zmod.subsingleton_ring_hom 0.061115 s: set.image_inv_Ioo_0_left 0.000145 s: list.foldl_with_index_aux_spec 0.000777 s: list.foldl_with_index_aux._main.equations._eqn_2 0.000179 s: list.foldl_with_index_aux.equations._eqn_2 0.006458 s: list.foldl_with_index_aux_spec_cons 0.002938 s: list.foldl_with_index_aux_eq_foldl_with_index_aux_spec 0.000158 s: list.foldl_with_index_aux_spec.equations._eqn_1 0.001913 s: list.foldl_with_index_eq_foldl_enum 0.003613 s: nat.bit_le_bit1 0.082176 s: ite_eq_mem_std_simplex 0.143510 s: convex_std_simplex 0.146927 s: convex_hull_basis_eq_std_simplex 0.096250 s: is_linear_map.convex_hull_image 0.087776 s: linear_map.convex_hull_image 0.231601 s: set.finite.convex_hull_eq_image 0.121382 s: is_closed_std_simplex 0.115088 s: compact_std_simplex 0.270713 s: set.finite.compact_convex_hull 0.000044 s: rel_hom.id._proof_1 0.046727 s: matrix.unitary_group.coe_to_GL 0.015779 s: matrix.unitary_group.to_GL_one 0.000151 s: category_theory.presieve.inhabited 0.071973 s: differentiable_on.norm 0.000781 s: discrete_valuation_ring.add_val.equations._eqn_1 0.000727 s: parser.mono.foldl_core.equations._eqn_1 0.011867 s: linear_map.compatible_smul.sizeof 0.003049 s: linear_map.compatible_smul.mk.sizeof_spec 0.011876 s: measure_theory.measure.lt_iff' 0.153556 s: lie_submodule.quotient.action_as_endo_map.equations._eqn_1 0.000383 s: int.sign_of_succ 0.017322 s: contracting_with.restrict 0.000182 s: tactic.norm_fin.normalize_fin.equations._eqn_1 0.004508 s: tactic.norm_fin.normalize_fin.add 0.000171 s: tactic.norm_fin.normalize_fin.bit0 0.000584 s: category_theory.limits.reflects_colimit_of_reflects_colimits_of_shape.equations._eqn_1 0.000188 s: add_equiv.to_multiplicative._proof_3 0.066748 s: category_theory.subterminals_equiv_mono_over_terminal_counit_iso_hom_app 0.268418 s: category_theory.limits.colim_coyoneda._proof_3 0.000324 s: real.metric_space.equations._eqn_1 0.000397 s: slim_check.total_function.with_default.inj 0.000168 s: slim_check.total_function.with_default.inj_arrow 0.034116 s: library_note._1768964164 0.000247 s: urysohns.CU.inhabited 0.000149 s: urysohns.CU.inhabited.equations._eqn_1 0.002337 s: semidirect_product.right_hom._proof_1 0.002707 s: semidirect_product.right_hom._proof_2 0.003911 s: semidirect_product.right_hom 0.002060 s: semidirect_product.right_hom.equations._eqn_1 0.006864 s: dfinsupp.support_erase 0.000321 s: trans_trichotomous_left 0.000161 s: open_subgroup.semilattice_sup_top._proof_2 0.002114 s: functor.map_equiv._proof_1 0.000448 s: functor.map_equiv 0.000251 s: multiset.subsingleton_equiv._proof_1 0.001304 s: multiset.subsingleton_equiv._proof_3 0.000560 s: multiset.subsingleton_equiv 0.001636 s: free_ring.coe.is_ring_hom 0.003123 s: free_ring.subsingleton_equiv_free_comm_ring._proof_2 0.000258 s: matrix.to_blocks₂₁ 0.003948 s: strict_mono_incr_on.continuous_at_right_of_closure_image_mem_nhds_within 0.035061 s: strict_mono_incr_on.continuous_at_left_of_closure_image_mem_nhds_within 0.008759 s: strict_mono_incr_on.continuous_at_of_closure_image_mem_nhds 0.002285 s: strict_mono_incr_on.continuous_at_of_image_mem_nhds 0.003816 s: set.interval_of_not_le 0.261685 s: perfect_closure.field._proof_23 0.028499 s: quadratic_form.polar_neg_left 0.005043 s: quadratic_form.polar_sub_left 0.003757 s: ideal.quotient_inf_ring_equiv_pi_quotient._proof_4 0.027908 s: ideal.quotient_inf_ring_equiv_pi_quotient 0.024863 s: ideal.quotient_inf_ring_equiv_pi_quotient.equations._eqn_1 0.000727 s: ring_invo.to_fun_eq_coe 0.004068 s: add_subgroup.to_subgroup._proof_2 0.010299 s: add_subgroup.to_subgroup._proof_3 0.000183 s: add_subgroup.to_subgroup._proof_5 0.027731 s: add_subgroup.to_subgroup._proof_6 0.032505 s: add_subgroup.to_subgroup._proof_7 0.027810 s: add_subgroup.to_subgroup 0.009488 s: add_subgroup.to_subgroup_symm_apply_coe 0.000120 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_5 0.000144 s: initial_seg.has_sizeof_inst 0.004691 s: set.directed_on_Union 0.001453 s: distrib_mul_action_hom.rec_on 0.000286 s: num.succ'._main.equations._eqn_1 0.000030 s: num.succ'.equations._eqn_1 0.000037 s: io_core_is_alternative 0.000513 s: equiv.perm.cycle_factors_aux._main._proof_2 0.000228 s: measure_theory.outer_measure.caratheodory_dynkin.equations._eqn_1 0.009894 s: filter.realizer.cofinite._match_2 0.000339 s: filter.eventually_eq.comp_tendsto 0.001423 s: filter.le_Liminf_of_le 0.002910 s: unique_diff_on.image 0.000066 s: order.pfilter.has_sizeof_inst 0.000530 s: order.ideal.prime_pair.sizeof 0.001735 s: order.ideal.prime_pair.mk.sizeof_spec 0.000540 s: category_theory.from_skeleton.is_equivalence.equations._eqn_1 0.000608 s: mvpfunctor.map._match_1.equations._eqn_1 0.000061 s: omega.nat.preform.has_repr 0.000035 s: omega.nat.preform.has_repr.equations._eqn_1 0.004969 s: category_theory.functor.right_unitor.equations._eqn_1 0.000665 s: asymptotics.is_O.of_norm_left 0.000336 s: monoid_hom.to_functor 0.007390 s: monoid_hom.comp_to_functor 0.000656 s: nonempty_fin_lin_ord.to_order_top 0.001031 s: category_theory.limits.has_limits_of_shape.cases_on 0.000220 s: cont_t.uliftable 0.014049 s: modeq_mersenne 0.001350 s: left_ord_continuous.map_is_greatest 0.001615 s: right_ord_continuous.map_is_least 0.000874 s: AddCommGroup.forget₂_AddGroup_preserves_limits 0.000498 s: AddCommGroup.forget₂_AddGroup_preserves_limits.equations._eqn_1 0.009213 s: list.nth_take 0.014276 s: diffeomorph.times_cont_mdiff_within_at_trans_diffeomorph_right 0.000826 s: category_theory.sieve.bind.equations._eqn_1 0.002017 s: wseq.zip_with._match_1.equations._eqn_3 0.000939 s: function.surjective.mul_zero_one_class._proof_1 0.000680 s: function.surjective.mul_zero_one_class._proof_2 0.000865 s: function.surjective.mul_zero_one_class._proof_3 0.000440 s: function.surjective.mul_zero_one_class._proof_4 0.002417 s: function.surjective.mul_zero_one_class 0.001040 s: closure_Ioc 0.000949 s: interior_Ioc 0.001482 s: frontier_Ioc 0.002096 s: mul_equiv.arrow_congr._proof_1 0.001426 s: mul_equiv.arrow_congr 0.001290 s: mul_equiv.arrow_congr_apply 0.001228 s: function.embedding.sum_map._match_1.equations._eqn_1 0.009946 s: category_theory.graded_object.comap_equiv_unit_iso 0.021317 s: function.injective.ordered_cancel_comm_monoid.equations._eqn_1 0.000188 s: monoid_hom.has_coe_to_one_hom 0.000626 s: pos_num.divmod._main.equations._eqn_1 0.000071 s: pos_num.divmod.equations._eqn_1 0.054599 s: formal_multilinear_series.right_inv._main._pack.equations._eqn_2 0.013159 s: category_theory.monad.forget_creates_limits.γ.equations._eqn_1 0.009809 s: library_note._1094454265 0.000225 s: real.topological_semiring.equations._eqn_1 0.000101 s: name.append_suffix.equations._eqn_2 0.005778 s: list.reverse_range' 0.000252 s: computable_pred.of_eq 0.003287 s: quadratic_form.isometry.refl.equations._eqn_1 0.001247 s: is_lawful_monad_cont.cases_on 0.000938 s: is_lawful_monad_cont.no_confusion_type 0.001411 s: is_lawful_monad_cont.no_confusion 0.001007 s: monotone_gfp 0.000528 s: seq.split_at._main.equations._eqn_1 0.000219 s: seq.split_at.equations._eqn_1 0.004812 s: quiver.geodesic_arborescence._proof_2 0.000155 s: with_one.can_lift 0.000154 s: with_one.can_lift.equations._eqn_1 0.000861 s: free_add_magma.rec_on''.equations._eqn_1 0.003700 s: filter.realizer.of_filter._match_5.equations._eqn_1 0.000123 s: category_theory.limits.has_finite_limits.rec_on 0.000086 s: int.even.mul_right 0.000788 s: equiv.prod_congr_left_apply 0.054431 s: linear_map.mk_continuous₂_norm_le' 0.012415 s: conditionally_complete_lattice.sizeof 0.009095 s: category_theory.comonad.adj._proof_1 0.065217 s: category_theory.comonad.adj._proof_4 0.099597 s: category_theory.comonad.adj._proof_5 0.039674 s: category_theory.comonad.adj 0.094642 s: category_theory.comonad.adj_unit 0.002046 s: with_top.mul_zero_class.equations._eqn_1 0.080556 s: finite_dimensional.nonempty_continuous_linear_equiv_of_findim_eq 0.013589 s: _private.4264900695.to_map_ideal.equations._eqn_1 0.029600 s: polynomial.neg_comp 0.005648 s: subalgebra.to_linear_ordered_ring 0.000956 s: category_theory.sum.associator_obj_inl_inl 0.001009 s: measurable.eval 0.003034 s: category_theory.SheafOfTypes_bot_equiv._proof_1 0.000444 s: pgame.short_of.equations._eqn_1 0.000155 s: nonote.below 0.000205 s: nonote.oadd._proof_1 0.000073 s: nonote.oadd 0.000958 s: nonote.rec_on 0.001758 s: free_algebra.lift.equations._eqn_1 0.000601 s: has_measurable_smul₂.cases_on 0.002645 s: quaternion.sub_im_k 0.005395 s: category_theory.costructured_arrow.iso_mk.equations._eqn_1 0.000703 s: homeomorph.dense_embedding 0.005631 s: domain.cases_on 0.004409 s: domain.no_confusion_type 0.003544 s: domain.no_confusion 0.000131 s: order_dual.linear_ordered_cancel_comm_monoid._proof_1 0.000129 s: order_dual.linear_ordered_cancel_comm_monoid._proof_4 0.000435 s: order_dual.linear_ordered_cancel_comm_monoid._proof_5 0.000238 s: order_dual.linear_ordered_cancel_comm_monoid._proof_6 0.000205 s: order_dual.linear_ordered_cancel_comm_monoid._proof_8 0.000144 s: order_dual.linear_ordered_cancel_comm_monoid._proof_9 0.000164 s: order_dual.linear_ordered_cancel_comm_monoid._proof_10 0.000386 s: order_dual.linear_ordered_cancel_comm_monoid._proof_11 0.001048 s: order_dual.linear_ordered_cancel_comm_monoid._proof_12 0.000913 s: order_dual.linear_ordered_cancel_comm_monoid._proof_13 0.000324 s: order_dual.linear_ordered_cancel_comm_monoid._proof_14 0.009021 s: order_dual.linear_ordered_cancel_comm_monoid 0.009248 s: order_dual.linear_ordered_cancel_comm_monoid.equations._eqn_1 0.000363 s: set.Ioo_def 0.000095 s: cardinal.bit0_eq_self 0.141215 s: cardinal.bit1_eq_self_iff 0.018213 s: cardinal.bit1_lt_omega 0.002123 s: cardinal.bit0_lt_omega 0.012119 s: cardinal.bit0_le_bit1 0.002409 s: category_theory.rel._proof_3 0.000568 s: mvqpf.comp.map' 0.000254 s: linear_pmap.inhabited 0.000438 s: linear_pmap.inhabited.equations._eqn_1 0.000063 s: simps_cfg.rhs_md._default.equations._eqn_1 0.000113 s: measurable_equiv.inhabited.equations._eqn_1 0.000341 s: set.singleton_add_singleton 0.000232 s: set.singleton.is_add_hom 0.001774 s: lie_hom.no_confusion_type 0.001736 s: lie_hom.no_confusion 0.007023 s: dfinsupp.map_range.linear_equiv_refl 0.007626 s: euclidean_domain.val_dvd_le 0.000310 s: int.even_xor_odd 0.009662 s: category_theory.limits.pullback_cone.flip_is_limit.equations._eqn_1 0.001073 s: holor.add_comm_monoid.equations._eqn_1 0.016328 s: derivation.semimodule._proof_2 0.029090 s: derivation.semimodule._proof_3 0.040974 s: derivation.semimodule._proof_5 0.048272 s: derivation.semimodule._proof_6 0.055808 s: derivation.semimodule._proof_7 0.058464 s: derivation.semimodule._proof_8 0.062295 s: derivation.semimodule 0.056762 s: derivation.semimodule.equations._eqn_1 0.008072 s: ideal.prime_ideals_equiv 0.006547 s: ideal.prime_ideals_equiv_symm_inr 0.001481 s: fin.succ_above_zero 0.002305 s: fin.insert_nth_eq_iff 0.006511 s: fin.insert_nth_zero 0.002141 s: fin.insert_nth_zero' 0.004453 s: add_submonoid.localization_map.mk'_self' 0.001512 s: add_submonoid.localization_map.mk'_self 0.001649 s: add_submonoid.localization_map.away_to_away_right._proof_1 0.005960 s: Top.CommRing_yoneda._proof_1 0.000380 s: Top.CommRing_yoneda._proof_2 0.003806 s: Top.CommRing_yoneda._proof_3 0.000282 s: Top.CommRing_yoneda._proof_4 0.004885 s: Top.CommRing_yoneda._proof_5 0.181733 s: Top.CommRing_yoneda._proof_7 0.362630 s: Top.CommRing_yoneda._proof_8 0.341282 s: Top.CommRing_yoneda 0.000169 s: mvqpf.const.inhabited 0.000138 s: mvqpf.const.inhabited.equations._eqn_1 0.004869 s: bifunctor.map_equiv.equations._eqn_1 0.000086 s: list.head_le_sum 0.010595 s: group_with_zero_of_is_unit_or_eq_zero.equations._eqn_1 0.001671 s: continuous_map_has_scalar'.equations._eqn_1 0.002292 s: continuous_linear_map.has_sizeof_inst 0.003267 s: implicit_function_data.sizeof 0.000396 s: units.mul_inv' 0.003230 s: is_simple_lattice.complete_boolean_algebra._proof_18 0.018169 s: smooth_map_add_group.equations._eqn_1 0.000273 s: category_theory.pairwise.hom.id_single.sizeof_spec 0.067562 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_preserves_limit_pairwise_intersections._proof_5 0.023086 s: exp_map_circle_hom._proof_2 0.000899 s: category_theory.limits.image_mono_iso_source 0.000932 s: category_theory.limits.image_mono_iso_source.equations._eqn_1 0.001050 s: category_theory.limits.is_image.self_lift 0.002283 s: category_theory.limits.image_mono_iso_source_inv_ι 0.001818 s: category_theory.limits.image_mono_iso_source_hom_self 0.001923 s: category_theory.limits.image_mono_iso_source_hom_self_assoc 0.003963 s: smooth_within_at.prod_map 0.001787 s: model_with_corners_self.equations._eqn_1 0.053504 s: category_theory.limits.cones.functoriality_equivalence.equations._eqn_1 0.015369 s: matrix.det_to_square_block 0.000992 s: rack.pre_envel_group_rel'.ibelow 0.000162 s: eq.congr_right 0.000063 s: tactic.norm_num.min_fac_helper 0.011362 s: tactic.norm_num.min_fac_ne_bit0 0.008794 s: tactic.norm_num.min_fac_helper_1 0.000885 s: nat.bit1_lt 0.009997 s: tactic.norm_num.min_fac_helper.n_pos 0.001624 s: tactic.norm_num.min_fac_helper_2 1.005976 s: category_theory.nat_trans.on_presheaf._proof_1 0.024277 s: category_theory.nat_trans.on_presheaf 0.000219 s: add_con.pi._proof_1 0.003182 s: add_con.pi 0.000656 s: list.zip_right_nil_right 0.011158 s: emetric_space.induced._match_1.equations._eqn_1 0.000102 s: tactic.ring_exp.coeff.inhabited 0.000293 s: ordinal.has_div.equations._eqn_1 0.010665 s: affine_map.line_map_vadd 0.010982 s: emetric.closed_ball_prod_same 0.006185 s: opposite.has_continuous_mul.equations._eqn_1 0.000845 s: filter.germ.comp_tendsto'.equations._eqn_1 0.000234 s: slim_check.testable.cases_on 0.000111 s: slim_check.testable.no_confusion_type 0.000252 s: slim_check.testable.no_confusion 0.000172 s: slim_check.testable.mk.inj 0.000129 s: slim_check.testable.mk.inj_arrow 0.010974 s: subring.coe_pow 0.000576 s: category_theory.subobject.complete_lattice._proof_1 0.025712 s: category_theory.mono_over.inf_le_right.equations._eqn_1 0.000122 s: turing.partrec_to_TM2.cont'.sizeof 0.000024 s: turing.partrec_to_TM2.cont'.has_sizeof_inst 0.000309 s: turing.partrec_to_TM2.cont'.cons₂.sizeof_spec 0.016445 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence_unit_iso_hom_app 0.026871 s: con.correspondence._match_7 0.015908 s: con.correspondence._match_7.equations._eqn_1 0.001249 s: range.is_add_submonoid.equations._eqn_1 0.001360 s: category_theory.abelian.rec_on 0.030195 s: has_ftaylor_series_up_to_on.cases_on 0.000999 s: polynomial.splitting_field.algebra.equations._eqn_1 0.007680 s: mv_polynomial.comap_comp 0.192462 s: algebraic_closure.of_step_hom.equations._eqn_1 0.031109 s: add_subgroup.bot_sum_bot 0.001044 s: ulift.monoid._proof_3 0.008783 s: ulift.monoid._proof_4 0.005628 s: ulift.monoid._proof_5 0.001089 s: ulift.monoid 0.000325 s: ulift.smul_down 0.000164 s: ulift.one_down 0.002037 s: ulift.mul_action._proof_1 0.002860 s: ulift.mul_action._proof_2 0.000474 s: ulift.mul_action 0.000429 s: ulift.distrib_mul_action._proof_1 0.000582 s: ulift.distrib_mul_action._proof_2 0.002676 s: ulift.distrib_mul_action._proof_3 0.001550 s: ulift.distrib_mul_action._proof_4 0.001044 s: ulift.distrib_mul_action 0.000452 s: ulift.semimodule._proof_1 0.000792 s: eq_add_of_neg_add_eq 0.032921 s: category_theory.limits.lim_yoneda._proof_1 0.199532 s: linear_map.extend_to_𝕜 0.201812 s: linear_map.extend_to_𝕜_apply 0.023658 s: parser.static.char_buf_iff 0.000102 s: generalized_continued_fraction.int_fract_pair.rec_on 0.000712 s: simple_graph.not_mem_common_neighbors_left 0.002538 s: unique_diff_within_at.rec_on 0.001799 s: finsupp.nonzero_iff_exists 0.000327 s: pos_num.land._main.equations._eqn_1 0.000103 s: free_add_semigroup.inhabited 0.000122 s: free_add_semigroup.inhabited.equations._eqn_1 0.000079 s: hyperreal.not_infinitesimal_of_infinite_neg 0.007940 s: hyperreal.infinite_neg_mul_infinite_neg 0.000575 s: affine.simplex.centroid_weights_with_circumcenter._sunfold 0.000209 s: ε_NFA.to_NFA 0.000627 s: ε_NFA.to_NFA_eval_from_match 0.009097 s: UniformSpace.adj.equations._eqn_1 0.001917 s: wseq.lift_rel_cons 0.001286 s: wseq.cons_congr 0.000407 s: smul_with_zero.sizeof 0.000113 s: smul_with_zero.has_sizeof_inst 0.008492 s: measure_theory.tendsto_integral_filter_of_dominated_convergence 0.000061 s: pempty.elim._sunfold 0.000176 s: matrix.empty_sub_empty 0.034794 s: has_fderiv_at.const_mul 0.000073 s: auto.case_option.sizeof 0.000049 s: auto.case_option.at_most_one.sizeof_spec 0.000363 s: initial_seg.le_lt._match_1 0.000610 s: initial_seg.le_lt._match_1.equations._eqn_2 0.087305 s: alg_equiv.adjoin_singleton_equiv_adjoin_root_minpoly._match_1.equations._eqn_1 0.004311 s: set.image_preimage 0.011570 s: slim_check.print_samples 0.002070 s: slim_check.print_samples.equations._eqn_1 0.016703 s: ideal.quotient.algebra.equations._eqn_1 0.000241 s: quiver.total.cases_on 0.000137 s: quiver.total.no_confusion_type 0.000426 s: quiver.total.no_confusion 0.002441 s: measure_theory.measure.quasi_measure_preserving.dcases_on 0.004283 s: add_con.inf_def 0.018415 s: category_theory.limits.kernel_subobject_arrow 0.003484 s: finset.filter_card_add_filter_neg_card_eq_card 0.002661 s: finset.off_diag_card 0.004408 s: subring.prod_mono 0.000405 s: subring.prod_mono_right 0.000387 s: subring.prod_mono_left 0.047034 s: subring.prod_bot_sup_bot_prod 0.009338 s: filter.at_bot_basis 0.000308 s: filter.at_bot_countable_basis 0.000147 s: filter.is_countably_generated_at_bot 0.001966 s: bounded_continuous_function.mk_of_discrete._proof_2 0.000638 s: bounded_continuous_function.mk_of_discrete 0.001627 s: bounded_continuous_function.mk_of_discrete.equations._eqn_1 0.001499 s: rbnode.max._main.equations._eqn_7 0.000208 s: rbnode.max.equations._eqn_7 0.000374 s: string.iterator.extract._sunfold 0.000218 s: category_theory.biprod.gaussian._proof_14 0.000998 s: category_theory.limits.preserves_limits_of_shape.no_confusion 0.000701 s: category_theory.limits.cone.unop_X 0.001323 s: closure_operator.mk.inj_eq 0.027182 s: exterior_algebra.algebra_map_inv.equations._eqn_1 0.032911 s: exterior_algebra.algebra_map_left_inverse 0.003869 s: fish_assoc 0.002808 s: monoid_algebra.comm_ring._proof_5 0.000725 s: category_theory.limits.walking_parallel_pair_hom.fintype.equations._eqn_1 0.001353 s: order.ideal_of_cofinals._match_2.equations._eqn_1 0.000459 s: list.range_sublist 0.000054 s: linarith.comp.rec_on 0.000815 s: mul_one_class.to_is_right_id 0.000311 s: mul_one_class.to_is_right_id.equations._eqn_1 0.000351 s: zmod._main.equations._eqn_2 0.001072 s: filter.germ.const_bot 0.001100 s: enat.inf_eq_min 0.002135 s: tactic_doc._52676627 0.007327 s: multiset.exists_smul_of_dvd_count 0.000773 s: subgroup.has_inv.equations._eqn_1 0.035411 s: formal_multilinear_series.comp_along_composition_nnnorm 0.000066 s: turing.inhabited_tm2_outputs._proof_2 0.012173 s: ωCPO.has_products.product._proof_1 0.005185 s: ωCPO.has_products.product 0.012944 s: ωCPO.has_products.is_product._proof_2 0.030188 s: ωCPO.has_products.is_product._proof_3 0.026260 s: ωCPO.has_products.is_product._proof_4 0.011500 s: ωCPO.has_products.is_product 0.007819 s: ωCPO.has_products.is_product.equations._eqn_1 0.002855 s: tprod.measurable_space._main.equations._eqn_1 0.000584 s: tprod.measurable_space.equations._eqn_1 0.006194 s: linear_map.comp_multilinear_map_apply 0.003951 s: lie_equiv.rec_on 0.000570 s: multiset.rel.cases_on 0.000085 s: real.add_monoid.equations._eqn_1 0.000739 s: pure_id_seq 0.000184 s: pure_id'_seq 0.169648 s: subspace.coe_prod_equiv_of_closed_compl 0.024971 s: has_mfderiv_within_at_ext_chart_at 0.067183 s: complex.is_R_or_C.equations._eqn_1 0.008128 s: has_continuous_smul.dcases_on 0.000241 s: Profinite.category.equations._eqn_1 0.030149 s: continuous_multilinear_map.curry_sum_equiv._proof_6 0.000036 s: nat.le 0.000090 s: nat.le.equations._eqn_1 0.000355 s: onote.to_string._sunfold 0.005771 s: homeomorph.no_confusion 0.001985 s: homeomorph.mk.inj 0.000666 s: is_left_regular_of_mul_eq_one 0.000425 s: units.is_regular 0.026408 s: polynomial.eval₂.is_ring_hom 0.029812 s: polynomial.eval₂.is_ring_hom.equations._eqn_1 0.000323 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.some_1.inj 0.000056 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.some.inj 0.000046 s: NonemptyFinLinOrd.has_coe_to_sort 0.007206 s: is_atom_dual_iff_is_coatom 0.000220 s: order_dual.is_simple_lattice 0.009529 s: is_coatom_bot 0.000258 s: num.div2._main.equations._eqn_1 0.000508 s: inv_le_of_inv_le 0.004047 s: wseq.head_terminates_of_head_tail_terminates 0.006208 s: filter.tendsto.neg_mul_at_top 0.002587 s: category_theory.lax_monoidal_functor.of_to_functor_map 0.000039 s: tactic.transparency.all.inj 0.000029 s: tactic.transparency.all.inj_arrow 0.001437 s: linear_isometry_equiv.continuous_on 0.001061 s: order.ideal.mk.inj 0.000994 s: order.ideal.mk.inj_arrow 0.000360 s: ff_bxor 0.002673 s: category_theory.Ran_obj_obj 0.001617 s: ultrafilter.eventually_imp 0.000048 s: slim_check.slim_check_cfg.has_sizeof_inst 0.000285 s: computation.parallel.aux1._sunfold 0.000615 s: category_theory.limits.image_subobject.equations._eqn_1 0.002004 s: group_with_zero.mul_left_injective 0.000800 s: monoid_hom.to_one_hom_coe 0.000712 s: algebraic_closure.to_step_zero 0.000329 s: algebraic_closure.to_step_zero.equations._eqn_1 1.094501 s: real.uniform_continuous_inv 0.236146 s: real.tendsto_inv 0.026831 s: nat.le_rec_on._sunfold 0.006559 s: finset.prod_ite_of_true 0.003058 s: finset.prod_apply_ite_of_true 0.000595 s: fin2.remap_left._main.equations._eqn_1 0.000307 s: fin2.remap_left.equations._eqn_1 0.000033 s: tactic.ring.normalize_mode.raw.inj 0.000032 s: tactic.ring.normalize_mode.raw.inj_eq 0.002625 s: category_theory.limits.cofork.of_cocone 0.000175 s: exists_prop_decidable.equations._eqn_1 0.004864 s: category_theory.arrow.lift_struct.no_confusion_type 0.004369 s: category_theory.arrow.lift_struct.no_confusion 0.005937 s: category_theory.arrow.lift_struct.mk.inj 0.006801 s: category_theory.arrow.lift_struct.mk.inj_eq 0.000573 s: fintype.card_lt_of_surjective_not_injective 0.000429 s: fintype.card_quotient_lt 0.002796 s: order_iso.preimage_Icc 0.001891 s: Magma.bundled_hom.equations._eqn_1 0.000509 s: rbnode.balance2._main.equations._eqn_8 0.000293 s: rbnode.balance2.equations._eqn_8 0.000274 s: equiv.decidable.subset.decidable.mem.decidable._mutual._proof_4 0.045403 s: equiv.decidable.subset.decidable.mem.decidable._mutual.equations._eqn_6 0.006363 s: subalgebra.one_mem'._default.equations._eqn_1 0.000897 s: hash_map.insert._main._proof_1 0.000642 s: hash_map.insert._main._proof_2 0.006172 s: hash_map.insert._main._proof_3 0.008370 s: hash_map.insert._main._proof_4 0.010399 s: hash_map.insert._main.equations._eqn_1 0.008057 s: hash_map.insert.equations._eqn_1 0.049631 s: hash_map.mem_insert 0.008397 s: hash_map.find_insert_ne 0.000058 s: CommRing.inhabited 0.005548 s: monoid_algebra.lift_nc.equations._eqn_1 0.000061 s: snum.add.equations._eqn_1 0.000267 s: slim_check.and_counter_example._main.equations._eqn_4 0.000099 s: slim_check.and_counter_example.equations._eqn_4 0.000105 s: nat.squarefree.decidable_pred._main._proof_1 0.001540 s: nat.squarefree.decidable_pred._main.equations._eqn_1 0.001441 s: nat.squarefree.decidable_pred.equations._eqn_1 0.002006 s: generalized_continued_fraction.part_denom_none_iff_s_none 0.000303 s: category_theory.limits.has_colimit.rec_on 0.000186 s: pos_num.has_repr.equations._eqn_1 0.003533 s: category_theory.center.left_unitor.equations._eqn_1 0.001507 s: zorn.chain.image 0.000202 s: slim_check.int_le.sampleable._match_1 0.000322 s: slim_check.int_le.sampleable._match_1.equations._eqn_1 0.000253 s: finset.union_self 0.000374 s: pfunctor.M.cases.equations._eqn_1 0.000104 s: set.up 0.000081 s: set.down_up 0.000703 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_10 0.000442 s: turing.to_partrec.cont.cons₂.inj 0.004248 s: lucas_lehmer.s_mod_succ 0.000276 s: order.cofinal.has_mem.equations._eqn_1 0.057280 s: continuous_multilinear_map.curry_left.equations._eqn_1 0.000324 s: Module.sizeof 0.343293 s: polynomial.normalize_monic 0.049197 s: submonoid.localization_map.lift_surjective_iff 0.000209 s: finmap.foldl._proof_1 0.000289 s: finmap.foldl 0.000539 s: alist.erase_erase 0.002845 s: finmap.erase_erase 0.000253 s: finmap.sdiff._proof_1 0.000195 s: finmap.sdiff 0.000123 s: finmap.has_sdiff 0.009416 s: ennreal.to_real_pow 0.000451 s: _private.3987499933.partition_local_deps_aux._main.equations._eqn_1 0.000185 s: _private.3987499933.partition_local_deps_aux.equations._eqn_1 0.000670 s: turing.TM2to1.st_run._main.equations._eqn_2 0.001281 s: pSet.equiv_iff_mem 0.000474 s: pSet.equiv.eq 0.000227 s: topological_space.second_countable_topology.drec 0.002927 s: algebra.smul_mul_smul 0.000451 s: cond_a_a 0.000576 s: continued_fraction.of 0.002515 s: add_valuation.map_zero 0.001027 s: discrete_valuation_ring.add_val_zero 0.000426 s: probability_theory.indep_sets.inter 0.000258 s: _private.2165583209.star' 0.000927 s: _private.2165583209.star'._main.equations._eqn_1 0.001038 s: _private.2165583209.star'.equations._eqn_1 0.000819 s: ring_quot.star'_quot 0.022140 s: ring_quot.star_ring._proof_3 0.002967 s: continuous_linear_equiv.bijective 0.081661 s: local_homeomorph.mdifferentiable.mfderiv_bijective 0.020588 s: list.modify_nth_tail_modify_nth_tail 0.007561 s: list.modify_nth_tail_modify_nth_tail_le 0.001738 s: finite_dimensional.fintype_of_fintype.equations._eqn_1 0.000157 s: dfinsupp.inhabited_pre._proof_1 0.000132 s: rel_iso.inhabited.equations._eqn_1 0.000997 s: is_lawful_functor.drec_on 0.000601 s: eq_inv_mul_of_mul_eq 0.000504 s: pgame.relabelling.sizeof 0.001100 s: pgame.relabelling.mk.sizeof_spec 0.000307 s: free_monoid.map._proof_1 0.000201 s: free_monoid.map._proof_2 0.002337 s: free_monoid.map 0.001066 s: submonoid.is_submonoid.equations._eqn_1 0.001310 s: multiset.sizeof.equations._eqn_1 0.000069 s: tactic.rewrite_search.using_conv.splice_result.rec_on 0.000829 s: mvqpf.quotient_qpf._proof_1 0.000983 s: mvqpf.quotient_qpf._proof_2 0.000787 s: mvqpf.quotient_qpf 0.000207 s: mvqpf.rel_quot._proof_1 0.000210 s: mvqpf.rel_quot._proof_2 0.001138 s: mvqpf.rel_quot 0.003077 s: category_theory.sieve.pushforward_comp 0.000100 s: has_sup.cases_on 0.000075 s: has_sup.no_confusion_type 0.000822 s: category_theory.limits.reflects_limits_of_shape.rec_on 0.001180 s: game.game_partial_order.equations._eqn_1 0.000170 s: padic_int.has_neg.equations._eqn_1 0.000240 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_6 0.083864 s: polynomial.separable_gcd_left 0.020256 s: CommRing.colimits.cocone_morphism.equations._eqn_1 0.000725 s: pgame.left_moves_add.equations._eqn_1 0.000310 s: Algebra.sizeof 0.000270 s: filter.germ.comm_semiring._proof_7 0.000337 s: normed_linear_ordered_group.to_normed_group.equations._eqn_1 0.000142 s: slim_check.small.inhabited 0.000184 s: slim_check.small.inhabited.equations._eqn_1 0.000911 s: omega.nat.preform.sub_terms._main.equations._eqn_2 0.000111 s: omega.nat.preform.sub_terms.equations._eqn_2 0.001692 s: mul_equiv.to_Magma_iso_inv 0.011265 s: linear_pmap.le_of_eq_locus_ge 0.022707 s: linear_pmap.right_le_sup 0.015873 s: linear_pmap.sup_le 0.004678 s: is_atom.inf_eq_bot_of_ne 0.000282 s: is_atom.disjoint_of_ne 0.002270 s: free_semigroup.pure_seq 0.000107 s: nat.zero_shiftl 0.000315 s: list.infix_append' 0.000218 s: reader_t.uliftable 0.000513 s: mul_equiv.is_mul_hom 0.000398 s: mul_equiv.is_monoid_hom 0.000466 s: mul_equiv.is_monoid_hom.equations._eqn_1 0.000441 s: cau_seq.is_complete.sizeof 0.001092 s: cau_seq.is_complete.mk.sizeof_spec 0.034094 s: is_separable.dcases_on 0.000079 s: vm_obj_kind.constructor.sizeof_spec 0.007292 s: times_cont_mdiff_within_at_inter' 0.000385 s: state_t.orelse.equations._eqn_1 0.000521 s: distrib_mul_action_hom.has_coe.equations._eqn_1 0.005458 s: category_theory.limits.cofork.is_colimit.hom_iso_symm_apply 0.183054 s: formal_multilinear_series.unshift.equations._eqn_2 0.014384 s: add_submonoid.localization_map.add_neg 0.010355 s: add_submonoid.localization_map.lift_mk' 0.005495 s: add_submonoid.localization_map.lift_eq_iff 0.004546 s: Module.colimits.cocone_morphism.equations._eqn_1 0.000487 s: real.cosh_zero 0.000139 s: ordnode.sizeof 0.000041 s: ordnode.has_sizeof_inst 0.000343 s: ordnode.node.sizeof_spec 0.000168 s: turing.partrec_to_TM2.cont_stack._sunfold 0.003513 s: add_submonoid.add_subset 0.007452 s: has_fderiv_within_at.sum 0.008169 s: differentiable_within_at.sum 0.001291 s: differentiable_on.sum 0.005887 s: category_theory.adjunction.functoriality_is_left_adjoint.equations._eqn_1 0.034558 s: formal_multilinear_series.left_inv._main._pack.equations._eqn_1 0.011979 s: submonoid.localization_map.of_mul_equiv_of_dom.equations._eqn_1 0.071631 s: Module.limit_module.equations._eqn_1 0.001930 s: nat.gcd_dvd_gcd_mul_left_right 0.000032 s: nzsnum.bit1 0.000030 s: nzsnum.bit1.equations._eqn_1 0.000163 s: set.nonempty_Ioi_subtype 0.000163 s: set.nonempty_Ioi_subtype.equations._eqn_1 0.000030 s: tactic.itauto.prop.false.inj_arrow 0.000125 s: structure_groupoid.order_bot._proof_2 0.012581 s: set.Iic_union_Ico_eq_Iio 0.003957 s: ordered_add_comm_group.sub._default 0.001559 s: ordered_add_comm_group.sub._default.equations._eqn_1 0.000775 s: set.Iic.semilattice_sup_bot._proof_7 0.000033 s: tactic.ring_exp.ex_type.base.inj 0.000054 s: tactic.ring_exp.ex_type.base.inj_eq 0.000056 s: decidable.not_not_iff 0.000414 s: computation.thinkN._main.equations._eqn_1 0.000280 s: sigma.curry.equations._eqn_1 0.000441 s: buffer.append_array.equations._eqn_1 0.003228 s: dfinsupp.sum_zero_index 0.015760 s: dfinsupp.sum_finset_sum_index 0.000160 s: buffer.mem.equations._eqn_1 0.002950 s: library_note._140463318 0.000239 s: formal_multilinear_series.change_origin._proof_1 0.000334 s: omega.nat.dnf_core._main.equations._eqn_1 0.000388 s: category_theory.adjunction.has_colimits_of_equivalence 0.000240 s: category_theory.zag.equations._eqn_1 0.000362 s: computation.destruct.equations._eqn_1 0.000129 s: ordnode.find_le_aux._match_1.equations._eqn_3 0.000133 s: category_theory.limits.has_finite_colimits.out 0.000133 s: category_theory.limits.has_limits_of_shape_of_has_finite_colimits 0.000183 s: category_theory.limits.has_limits_of_shape_of_has_finite_colimits.equations._eqn_1 0.002680 s: pi.add_right_cancel_monoid._proof_1 0.004729 s: pi.add_right_cancel_monoid._proof_2 0.001403 s: pi.add_right_cancel_monoid._proof_4 0.003684 s: pi.add_right_cancel_monoid._proof_5 0.004704 s: pi.add_right_cancel_monoid._proof_6 0.001803 s: pi.add_right_cancel_monoid 0.001144 s: vector.nth_cons_nil 0.025240 s: submodule.inf_orthogonal 0.003991 s: category_theory.differential_object.hom.sizeof 0.003106 s: category_theory.differential_object.hom.has_sizeof_inst 0.000420 s: initial_seg.le_lt 0.001801 s: has_groupoid.dcases_on 0.037318 s: real.Inf_of_not_bdd_below 0.000843 s: ctop.realizer.nhds._match_1._proof_1 0.000163 s: function.swap.equations._eqn_1 0.006287 s: is_trichotomous.swap 0.009243 s: category_theory.monoidal.lax_from_transported_ε 0.000990 s: category_theory.limits.colimit.hom_iso' 0.001492 s: category_theory.limits.colimit.hom_iso'.equations._eqn_1 0.000527 s: int.of_nat_mod 0.060027 s: znum.cast_lt 0.013180 s: znum.cast_le 0.000661 s: category_theory.functor.cones.equations._eqn_1 0.000631 s: subfield.to_linear_ordered_field._proof_5 0.000244 s: fin.succ_above_left_inj 0.000605 s: subring.to_ordered_comm_ring._proof_2 0.000359 s: mul_equiv.no_confusion_type 0.000634 s: mul_equiv.no_confusion 0.000701 s: mul_equiv.mk.inj 0.001789 s: mul_equiv.mk.inj_eq 0.000447 s: magma.free_semigroup.map_of 0.000131 s: category_theory.Cat.inhabited 0.000534 s: prod.bounded_distrib_lattice._proof_6 0.002357 s: is_coprime.add_mul_left_left_iff 0.000392 s: prod.map_map 0.000066 s: has_subset.cases_on 0.000057 s: has_subset.no_confusion_type 0.001170 s: category_theory.coprod_monad_coe 0.003537 s: category_theory.limits.cokernel.zero_cocone.equations._eqn_1 0.000197 s: parser.bounded.many_char1 0.061621 s: is_integral_localization' 0.009600 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_1 0.002639 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_2 0.001549 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_3 0.001182 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_5 0.002940 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_6 0.001324 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_7 0.002578 s: pseudo_metric_space_of_normed_group_of_add_torsor._proof_8 0.001852 s: pseudo_metric_space_of_normed_group_of_add_torsor 0.001966 s: finset.pi_disjoint_of_disjoint 0.002199 s: category_theory.comonad_hom.id_to_nat_trans 0.000526 s: set.fintype_seq._proof_1 0.000511 s: set.fintype_bUnion' 0.001012 s: set.fintype_seq 0.000692 s: set.fintype_seq' 0.000619 s: locally_constant.comm_ring._proof_13 0.001779 s: equiv.comm_group.equations._eqn_1 0.000505 s: submodule.to_linear_ordered_cancel_add_comm_monoid._proof_1 0.000666 s: submodule.to_linear_ordered_cancel_add_comm_monoid._proof_2 0.004817 s: submodule.to_linear_ordered_cancel_add_comm_monoid 0.000204 s: string.iterator.nextn._main.equations._eqn_1 0.000498 s: linear_equiv.to_equiv_inj 0.001166 s: lazy_list.traverse._main.equations._eqn_2 0.000321 s: lazy_list.traverse.equations._eqn_2 0.000291 s: CpltSepUniformSpace.concrete_category.equations._eqn_1 0.002482 s: pnat.Ico._proof_1 0.000998 s: pnat.Ico 0.000978 s: pnat.Ico.equations._eqn_1 0.001900 s: pnat.mk_le_mk 0.001998 s: pnat.mk_lt_mk 0.028361 s: pnat.Ico.mem 0.006189 s: set.Ico_pnat_fintype._proof_1 0.000307 s: set.Ico_pnat_fintype 0.000250 s: set.Ico_pnat_fintype.equations._eqn_1 0.000206 s: no_bot_order.rec_on 0.002297 s: category_theory.triangulated.triangle_morphism.inv_rotate_hom₃ 0.000120 s: is_irrefl.cases_on 0.000123 s: unification_constraint.cases_on 0.000089 s: unification_constraint.no_confusion_type 0.000322 s: filter.germ.semilattice_inf_bot._proof_2 0.006435 s: sesq_form.to_module._proof_2 0.000148 s: ordnode.erase 0.000493 s: ordnode.erase.equations._eqn_2 0.021885 s: disjoint.sdiff_unique 0.000235 s: rbtree.max._main 0.000052 s: rbtree.max 0.000855 s: rbtree.max._main.equations._eqn_1 0.000215 s: rbtree.max.equations._eqn_1 0.014994 s: alternating_map.add_comm_group.equations._eqn_1 0.344253 s: CommSemiRing.limit_comm_semiring.equations._eqn_1 0.019970 s: category_theory.forget_adj_star 0.003007 s: real.sqrt_ne_zero' 0.091485 s: real.div_sqrt 0.018847 s: zero_pow_eq 0.006653 s: polynomial.eval₂_at_zero 0.009643 s: topological_group.regular_space 0.000394 s: set_like.has_mem.equations._eqn_1 0.006168 s: ring_hom.cod_restrict._proof_2 0.002070 s: CommGroup.category_theory.limits.has_zero_object._proof_2 0.001115 s: CommGroup.category_theory.limits.has_zero_object 0.001442 s: CommGroup.category_theory.limits.has_zero_object.equations._eqn_1 0.008573 s: category_theory.mono_over.pullback_obj_arrow 0.000608 s: uniformity_subtype 0.006313 s: finset.union_eq_sdiff_union_sdiff_union_inter 0.001571 s: category_theory.grothendieck.id.equations._eqn_1 0.000564 s: slim_check.list.shrink_removes._match_1._proof_2 0.001319 s: eq_mul_inv_of_mul_eq 0.001319 s: set.mul_indicator_compl_mul_self_apply 0.000581 s: set.mul_indicator_compl_mul_self 0.002652 s: set.mul_indicator_compl 0.001098 s: list.has_decidable_lt._match_5.equations._eqn_1 0.001084 s: set.left_inv_on.comp 0.000677 s: set.right_inv_on.comp 0.016217 s: asymptotics.is_o.right_is_O_sub 0.035132 s: subgroup.comap_inf 0.005145 s: add_group_with_zero_nhd.nhds_zero_eq_Z 0.004498 s: polynomial.support_X_pow 0.001901 s: polynomial.support_X 0.000579 s: denumerable.raise'._main.equations._eqn_2 0.000093 s: denumerable.raise'.equations._eqn_2 0.000187 s: multiset.has_coe.equations._eqn_1 0.015404 s: pi.conditionally_complete_lattice._match_2 0.021012 s: Module.monoidal_category.tensor_obj.equations._eqn_1 0.003524 s: gfp_induct 0.000062 s: bitvec.has_add 0.000208 s: bitvec.mul 0.000033 s: bitvec.has_mul 0.000102 s: bitvec.has_mul.equations._eqn_1 0.005472 s: category_theory.monoidal_nat_trans.mk.inj_eq 0.001005 s: list.after._main.equations._eqn_2 0.008750 s: category_theory.limits.wide_pullback_shape.wide_cospan.equations._eqn_1 0.056577 s: div_lt_div_of_neg_of_lt 0.011889 s: one_div_nonpos 0.049254 s: div_le_div_of_nonpos_of_le 0.033312 s: div_le_div_right_of_neg 0.000920 s: is_preirreducible_empty 0.000129 s: is_preconnected_empty 0.000123 s: pgame.impartial.impartial_neg._main 0.000055 s: pgame.impartial.impartial_neg 0.000109 s: pgame.first_wins_of_equiv_iff 0.001604 s: pgame.impartial.no_good_right_moves_iff_first_loses 0.001690 s: function.injective.add_right_cancel_semigroup._proof_2 0.000707 s: function.injective.add_right_cancel_semigroup 0.001344 s: finset.sdiff_insert_of_not_mem 0.000106 s: free_add_semigroup.lift'._sunfold 0.000039 s: linarith.ineq.eq.inj 0.000026 s: linarith.ineq.eq.inj_arrow 0.000456 s: name.map_prefix._main.equations._eqn_1 0.000038 s: name.map_prefix.equations._eqn_1 0.005033 s: category_theory.lax_monoidal.cases_on 0.004098 s: category_theory.lax_monoidal.no_confusion_type 0.004968 s: category_theory.lax_monoidal.no_confusion 0.000147 s: nat.min_fac._main.equations._eqn_2 0.105214 s: algebraic_geometry.PresheafedSpace.restrict_top_iso._proof_5 0.047991 s: cau_seq.one_not_equiv_zero 0.000115 s: filter.germ.inhabited 0.000469 s: quotient_group.left_rel_decidable 0.000488 s: quotient_group.left_rel_decidable.equations._eqn_1 0.003617 s: set.to_finset_inj 0.000597 s: wseq.compute._match_1.equations._eqn_3 0.000876 s: uliftable.up_down 0.003408 s: category_theory.functorial.sizeof 0.000166 s: category_theory.functorial.has_sizeof_inst 0.000203 s: mul_equiv.to_additive._proof_2 0.000117 s: tactic.itauto.proof.or_inl.inj_eq 0.000113 s: set.separates_points 0.001299 s: subalgebra.separates_points 0.006721 s: subalgebra.separates_points_monotone 0.033121 s: ring.fractional_ideal.coe_to_submodule_eq_bot 0.023876 s: pow_add_pow_le 0.000077 s: cfilter.has_sizeof_inst 0.000366 s: filter.realizer.sizeof 0.000462 s: num.decidable_dvd._main.equations._eqn_1 0.000184 s: num.decidable_dvd.equations._eqn_1 0.004261 s: category_theory.is_kernel_pair.subsingleton 0.002673 s: category_theory.is_kernel_pair.subsingleton.equations._eqn_1 0.021795 s: category_theory.subobject.of_mk_le_comp_of_le 0.002140 s: direct_sum.grade_zero.smul_with_zero._proof_2 0.005605 s: category_theory.mono_over.map_iso.equations._eqn_1 0.001508 s: int.modeq.modeq_mul_right' 0.000383 s: category_theory.limits.has_binary_biproducts.drec_on 0.000125 s: int.even.sub_even 0.000322 s: function.injective.right_cancel_semigroup._proof_1 0.001461 s: function.injective.right_cancel_semigroup._proof_2 0.000748 s: function.injective.right_cancel_semigroup 0.055824 s: add_comm_group.direct_limit.of_f 0.000122 s: is_strict_order.cases_on 0.000221 s: multiset.keys.equations._eqn_1 0.007813 s: separated_by_open_embedding 0.004313 s: set.range_inl_inter_range_inr 0.002230 s: set.range_inr_inter_range_inl 0.002041 s: sum.t2_space 0.002606 s: sum.t2_space.equations._eqn_1 0.000771 s: nat.div_eq_sub_mod_div 0.001605 s: ulift.is_scalar_tower'' 0.000173 s: num.lxor._main.equations._eqn_2 0.000212 s: lucas_lehmer.s_zmod.equations._eqn_1 0.000641 s: lucas_lehmer.s_mod._main.equations._eqn_1 0.000071 s: lucas_lehmer.s_mod.equations._eqn_1 0.004848 s: lucas_lehmer.s_zmod._main.equations._eqn_2 0.000296 s: lucas_lehmer.s_zmod.equations._eqn_2 0.000159 s: lucas_lehmer.s_mod.equations._eqn_2 0.007865 s: lucas_lehmer.s_zmod_eq_s_mod 0.002064 s: finset.prod_comm 0.001948 s: dfinsupp.prod_comm 0.011242 s: Gromov_Hausdorff.GH_space_metric_space._proof_1 0.002751 s: Gromov_Hausdorff.GH_space_metric_space._proof_2 0.000559 s: Gromov_Hausdorff.GH_space_metric_space._proof_4 0.007106 s: Gromov_Hausdorff.GH_space_metric_space._proof_5 0.003148 s: Gromov_Hausdorff.GH_space_metric_space._proof_6 0.025984 s: Gromov_Hausdorff.GH_space_metric_space._proof_8 0.008420 s: Gromov_Hausdorff.compact_space_optimal_GH_coupling 0.008240 s: Gromov_Hausdorff.GH_dist_eq_Hausdorff_dist 0.002264 s: metric.Hausdorff_dist_zero_iff_eq_of_closed 0.005533 s: Gromov_Hausdorff.dist_GH_dist 0.039914 s: Gromov_Hausdorff.GH_space_metric_space._proof_9 0.010951 s: Gromov_Hausdorff.GH_space_metric_space 0.005671 s: Gromov_Hausdorff.GH_space_metric_space.equations._eqn_1 0.003852 s: category_theory.unique_homset_of_initial_iso_terminal.equations._eqn_1 0.000703 s: pos_num.cmp._main.equations._eqn_8 0.000060 s: pos_num.cmp.equations._eqn_8 0.000595 s: onote.NF_power_aux._main.equations._eqn_3 0.004573 s: category_theory.groupoid.of_is_iso._proof_4 0.001643 s: frontier_inter_subset 0.000908 s: frontier_union_subset 0.005553 s: nonempty_fin_lin_ord.mk.sizeof_spec 0.000440 s: rel.mem_preimage 0.017396 s: function.injective.linear_ordered_cancel_comm_monoid._proof_14 0.000954 s: free_group.red.decidable_rel._match_1._proof_2 0.000614 s: free_group.red.decidable_rel._match_1.equations._eqn_2 0.006724 s: con.Sup_eq_con_gen 0.000298 s: con.rel_eq_coe 0.003590 s: supr_Prop_eq 0.006603 s: con.Sup_def 0.000025 s: tactic.ring_exp.ex_type.prod.inj 0.002541 s: prime_spectrum.subset_vanishing_ideal_zero_locus 0.000178 s: add_con.ext'_iff 0.000177 s: pfunctor.M.equations._eqn_1 0.002239 s: ennreal.div_lt_top 0.000262 s: pnat.gcd_comm 0.000171 s: pnat.coprime.symm 0.001897 s: pnat.one_gcd 0.000039 s: pnat.one_coprime 0.000024 s: pnat.coprime_one 0.000195 s: category_theory.to_initial_is_iso 0.000234 s: category_theory.simplicial_object.eq_to_iso._proof_1 0.000378 s: category_theory.simplicial_object.eq_to_iso 0.000360 s: category_theory.simplicial_object.eq_to_iso.equations._eqn_1 0.000493 s: set.Icc.semilattice_inf_top._proof_2 0.000627 s: set.Icc.semilattice_inf_top._proof_5 0.000591 s: set.Icc.semilattice_inf_top._proof_6 0.000607 s: set.Icc.semilattice_inf_top._proof_8 0.006537 s: set.Icc.semilattice_inf_top 0.004623 s: category_theory.sigma.incl_desc_hom_app 0.000082 s: lists.subset.decidable 0.000728 s: lists.mem.decidable._main 0.000075 s: lists.mem.decidable 0.001598 s: lists.subset.decidable._main.equations._eqn_2 0.000585 s: lists.subset.decidable.equations._eqn_2 0.001275 s: linear_isometry_equiv.continuous_within_at 0.000484 s: ordnode.split._match_3.equations._eqn_1 0.003814 s: sub_mul_action.coe_neg 0.002545 s: parser.unfailing.bind.equations._eqn_1 0.000702 s: monotone.mul 0.000491 s: buffer.pop_back._sunfold 0.000846 s: tendsto_finset_prod 0.013387 s: algebra_int.equations._eqn_1 0.000510 s: module.finite.cases_on 0.004222 s: multiset.sum_bind 0.004312 s: category_theory.cofinal.is_colimit_whisker_equiv.equations._eqn_1 0.000223 s: sSet.equations._eqn_1 0.000129 s: monad_io_random.set_rand_gen 0.002720 s: iterated_deriv_eq_iterated_fderiv 0.004084 s: continuous_multilinear_map.map_smul_univ 0.051433 s: iterated_fderiv_apply_eq_iterated_deriv_mul_prod 0.000186 s: category_theory.shrink_homs.to_from 0.000309 s: pgame.le_decidable.equations._eqn_1 0.000192 s: Algebra.has_coe_to_sort.equations._eqn_1 0.001001 s: inner_product_space.of_core.to_normed_group.equations._eqn_1 0.001241 s: ctop.realizer.id._proof_2 0.000179 s: znum.of_int'.equations._eqn_1 0.000410 s: alist.singleton_entries 0.000593 s: filter.eventually_le.is_local_min_on 0.012495 s: inner_product_space.of_core.equations._eqn_1 0.003824 s: finmap.keys_union 0.005033 s: AddMon.has_limits.limit_cone.equations._eqn_1 0.000171 s: nat.arithmetic_function.id.equations._eqn_1 0.000221 s: Pi.topological_space.equations._eqn_1 0.000223 s: equiv.pempty_sum.equations._eqn_1 0.000084 s: smt_pre_config.no_confusion_type 0.000185 s: smt_pre_config.no_confusion 0.000139 s: smt_pre_config.mk.inj 0.001397 s: free_magma.pure_bind 0.023007 s: linear_map.llcomp.equations._eqn_1 0.013361 s: has_groupoid.rec_on 0.000991 s: category_theory.common_section.equations._eqn_1 0.001059 s: quaternion_algebra.neg_mk 0.017097 s: continuous_linear_equiv.symm_apply_eq 0.035852 s: one_le_padic_val_nat_of_dvd 0.000341 s: vector.topological_space.equations._eqn_1 0.005607 s: turing.partrec_to_TM2.K'.elim_update_aux 0.000091 s: free_add_magma.map 0.000183 s: free_add_magma.map.equations._eqn_1 0.003074 s: lie_module.lower_central_series.equations._eqn_1 0.008207 s: topological_space.opens.le_map_top.equations._eqn_1 0.000624 s: equiv.neg_symm 0.004428 s: matrix.vec_mul_vec_cons 0.008260 s: pow_odd_neg 0.000706 s: list.span._main 0.000079 s: list.span 0.001730 s: differentiable_at.snd 0.006251 s: local_homeomorph.to_homeomorph_source_target.equations._eqn_1 0.000319 s: poly.equations._eqn_1 0.000869 s: is_simple_lattice.complete_boolean_algebra._proof_10 0.000254 s: uniform_space.completion.has_sub.equations._eqn_1 0.004296 s: pnat.bit1_le_bit0 0.000560 s: _private.2148780665.fintype_helper._match_1.equations._eqn_2 0.001363 s: set.preimage_eq_preimage' 0.000948 s: set.inj_on_preimage 0.000414 s: function.bijective_id 0.000106 s: slim_check.prop_var_testable._proof_1 0.000182 s: uliftable.adapt_down 0.000988 s: slim_check.minimize 0.000258 s: slim_check.add_var_to_counter_example 0.000685 s: slim_check.var_testable._match_1 0.001641 s: slim_check.var_testable 0.000661 s: slim_check.sampleable_ext.of_sampleable 0.000531 s: slim_check.prop_var_testable 0.000417 s: slim_check.prop_var_testable.equations._eqn_1 0.128027 s: findim_vector_span_le_iff_not_affine_independent 0.000753 s: directed.sequence._sunfold 0.136932 s: convex_cone.map.equations._eqn_1 0.062823 s: function.injective.linear_ordered_comm_group._proof_4 0.000041 s: category_theory.large_groupoid 0.000219 s: residual 0.000323 s: residual.equations._eqn_1 0.004866 s: is_Gδ.inter 0.004357 s: dense.inter_of_Gδ 0.232804 s: eventually_residual 0.005515 s: mem_residual 0.002211 s: smooth_map_comm_ring._proof_1 0.002760 s: smooth_map_comm_ring._proof_2 0.001521 s: smooth_map_comm_ring._proof_4 0.001684 s: smooth_map_comm_ring._proof_6 0.001466 s: smooth_map_add_comm_group._proof_1 0.001173 s: smooth_map_add_comm_group._proof_3 0.001396 s: smooth_map_add_comm_group._proof_4 0.001600 s: smooth_map_add_comm_group._proof_5 0.001671 s: smooth_map_add_comm_group._proof_6 0.001930 s: smooth_map_add_comm_group._proof_7 0.007077 s: smooth_map_add_comm_group._proof_8 0.016360 s: smooth_map_add_comm_group 0.005638 s: smooth_map_comm_ring._proof_8 0.003676 s: smooth_map_comm_ring._proof_9 0.003001 s: smooth_map_comm_ring._proof_11 0.003104 s: smooth_map_comm_ring._proof_12 0.004021 s: smooth_map_comm_ring._proof_13 0.002892 s: smooth_map_comm_ring._proof_15 0.005729 s: smooth_map_comm_ring._proof_16 0.002690 s: smooth_map_comm_ring._proof_17 0.002374 s: smooth_map_comm_monoid._proof_1 0.002155 s: smooth_map_comm_monoid._proof_2 0.003169 s: smooth_map_comm_monoid._proof_3 0.004432 s: smooth_map_comm_monoid._proof_5 0.007733 s: smooth_map_comm_monoid._proof_6 0.012301 s: smooth_map_comm_monoid 0.002492 s: smooth_ring.to_has_smooth_mul 0.003910 s: smooth_map_comm_ring._proof_18 0.087100 s: smooth_map_comm_ring 0.013041 s: algebraic_geometry.PresheafedSpace.restrict_top_iso._proof_1 0.005130 s: algebraic_geometry.PresheafedSpace.restrict_top_iso._proof_3 0.005349 s: algebraic_geometry.PresheafedSpace.restrict_top_iso 0.001896 s: algebraic_geometry.PresheafedSpace.restrict_top_iso_inv 0.011951 s: cau_seq.add_equiv_add 0.027664 s: multiplicity_eq_zero_of_coprime 0.000110 s: complex.has_add.equations._eqn_1 0.005436 s: pnat.Ico.card 0.000354 s: set.Ico_pnat_card 0.010716 s: continuous_linear_equiv.trans.equations._eqn_1 0.000157 s: is_irrefl.drec 0.002580 s: lim_nhds_within_id 0.000090 s: pfunctor.M.corec_on 0.000188 s: pfunctor.M.corec_on.equations._eqn_1 0.000021 s: turing.dir.right.inj 0.002232 s: ordnode.diff._main.equations._eqn_2 0.000360 s: ordnode.diff.equations._eqn_2 0.014664 s: localization_map.away_to_away_right._proof_1 0.004502 s: localization_map.away_to_away_right 0.013045 s: fin.pred_cast_succ_succ 0.001853 s: add_monoid.cases_on 0.000784 s: add_monoid.no_confusion_type 0.003157 s: category_theory.limits.limit.post.equations._eqn_1 0.001041 s: pequiv.symm_symm 0.000237 s: pequiv.symm_injective 0.003856 s: pequiv.trans_single_of_mem 0.003409 s: ordnode.pmap._main.equations._eqn_2 0.001209 s: ordnode.pmap.equations._eqn_2 0.011609 s: category_theory.subobject.inf_arrow_factors_left 0.005667 s: subalgebra.map_mono 0.002298 s: finset.sum_update_of_not_mem 0.000524 s: finset.inf_mono 0.000127 s: real.sinh_surjective 0.005165 s: Algebra.category_theory.concrete_category.equations._eqn_1 0.000959 s: module.direct_limit.totalize 0.006593 s: module.direct_limit.totalize_apply 0.000542 s: filter.tendsto_Ico_at_top_at_top 0.000196 s: with_zero.preorder.equations._eqn_1 0.004006 s: simple_graph.dot_product_adj_matrix 0.001159 s: simple_graph.transpose_adj_matrix 0.001564 s: simple_graph.adj_matrix_vec_mul_apply 0.000778 s: add_submonoid.coe_top 0.000199 s: add_submonoid.closure_univ 0.000053 s: linarith.linexp.vars 0.000436 s: measure_theory.simple_func.has_coe_to_fun.equations._eqn_1 0.001268 s: equiv.set.univ._match_1.equations._eqn_1 0.001134 s: mv_polynomial.funext_iff 0.002026 s: interval_integral.integral_eq_sub_of_has_deriv_at'_of_le 0.000082 s: equiv.empty_equiv_pempty.equations._eqn_1 0.006219 s: direct_sum.to_module.equations._eqn_1 0.000296 s: cardinal.nontrivial.equations._eqn_1 0.000320 s: rbtree.rev_fold._main 0.000679 s: rbtree.rev_fold._main.equations._eqn_1 0.002282 s: category_theory.coyoneda.iso_comp_punit._proof_1 0.012006 s: category_theory.coyoneda.iso_comp_punit._proof_4 0.008856 s: category_theory.coyoneda.iso_comp_punit 0.002894 s: category_theory.coyoneda.iso_comp_punit_inv_app 0.002536 s: mul_equiv.to_CommMon_iso_hom 0.002435 s: pequiv.mem_of_set_self_iff 0.001127 s: category_theory.category.id_comp' 0.001211 s: category_theory.category.assoc' 0.002007 s: category_theory.induced_category.groupoid._proof_5 0.000444 s: tactic_doc._2240571887 0.000220 s: slim_check.add_shrinks._main.equations._eqn_2 0.000165 s: num.div._main.equations._eqn_1 0.000025 s: num.div.equations._eqn_1 0.000647 s: mvqpf.prj.repr 0.002265 s: le_of_mul_le_mul_right' 0.000115 s: rbnode.leaf.sizeof_spec 0.001615 s: category_theory.arrow.lift_struct_inhabited._proof_1 0.001053 s: category_theory.arrow.lift_struct_inhabited._proof_2 0.002960 s: category_theory.arrow.lift_struct_inhabited 0.001957 s: category_theory.arrow.lift_struct_inhabited.equations._eqn_1 0.080093 s: int.archimedean 0.083891 s: int.archimedean.equations._eqn_1 0.000062 s: ordering.lt.inj_arrow 0.000227 s: AddCommGroup.category_theory.limits.has_binary_biproduct 0.001643 s: AddCommGroup.biprod_iso_prod 0.009237 s: AddCommGroup.biprod_iso_prod.equations._eqn_1 0.048877 s: polynomial.smul_mem_lifts 0.004981 s: measure_theory.measure.regular.drec 0.000042 s: num.sub 0.000027 s: num.has_sub 0.023037 s: num.of_znum_to_nat 0.002778 s: int.to_nat_sub 0.012033 s: num.sub_to_nat 0.000466 s: ordnode.valid.dual_iff 0.000304 s: slim_check.injective_function.list.apply_id.equations._eqn_1 0.000175 s: prod.to_sigma._main.equations._eqn_1 0.000183 s: prod.to_sigma.equations._eqn_1 0.022414 s: slim_check.injective_function.apply_id_mem_iff 0.000292 s: t1_space.drec 0.036839 s: fin.coe_cast_pred_le_self 0.000790 s: CommRing.colimits.desc_fun_lift.equations._eqn_3 0.006282 s: distrib_three_right 0.003976 s: category_theory.limits.colim.equations._eqn_1 0.000172 s: matrix.col_apply 0.002258 s: matrix.col_cons 0.000179 s: rack.pre_envel_group_rel.rec_on 0.000094 s: setoid.no_confusion_type 0.000497 s: setoid.no_confusion 0.015573 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_3 0.012649 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_4 0.005421 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_5 0.029943 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_6 0.127908 s: continuous_multilinear_map.norm_comp_continuous_linear_le 0.025500 s: continuous_multilinear_map.comp_continuous_linear_mapL._proof_7 0.075529 s: continuous_multilinear_map.comp_continuous_linear_mapL 0.118043 s: continuous_multilinear_map.norm_comp_continuous_linear_mapL_le 0.000381 s: equiv.surjective_comp 0.000051 s: tactic_doc_entry.inherit_description_from 0.013341 s: galois_insertion.l_supr_u 0.027446 s: ideal.map_supr_comap_of_surjective 0.000392 s: computation.think_equiv 0.000233 s: lazy_list.singleton._main.equations._eqn_1 0.000114 s: lazy_list.singleton.equations._eqn_1 0.004254 s: lazy_list.append_nil 0.094798 s: lazy_list.is_lawful_monad 0.000358 s: tactic.itauto.proof.exfalso'.inj_eq 0.003430 s: add_semiconj_by.add_right 0.000220 s: add_commute.add_right 0.000383 s: simple_graph.min_degree.equations._eqn_1 0.002313 s: simple_graph.exists_minimal_degree_vertex 0.003284 s: mv_polynomial.smul_comm_class 0.001609 s: nndist_le_pi_nndist 0.001011 s: dist_le_pi_dist 0.014862 s: AddCommGroup.binary_product_limit_cone.equations._eqn_1 0.000114 s: one_hom.inhabited 0.000148 s: one_hom.inhabited.equations._eqn_1 0.000237 s: prod.decidable_eq._match_1._proof_1 0.001251 s: fin_bounded_random._match_1._proof_1 0.004560 s: fin_bounded_random._match_1._proof_2 0.002933 s: fin_bounded_random._match_1.equations._eqn_1 0.150585 s: finite_dimensional.complex_to_real 0.182334 s: finite_dimensional.complex_to_real.equations._eqn_1 0.002548 s: lie_subalgebra.is_cartan_subalgebra 0.017807 s: lie_subalgebra.is_cartan_subalgebra.cases_on 0.000399 s: vector_space.submodule.is_complemented 0.000511 s: vector_space.submodule.is_complemented.equations._eqn_1 0.000373 s: is_noetherian.drec_on 0.000451 s: sub_mul_action.has_scalar._proof_1 0.000339 s: sub_mul_action.has_scalar 0.003772 s: sub_mul_action.coe_smul 0.003877 s: sub_mul_action.subtype._proof_1 0.000653 s: sub_mul_action.subtype 0.002259 s: sub_mul_action.subtype_apply 0.000164 s: euclidean_quadrant.inhabited._proof_1 0.005644 s: euclidean_quadrant.inhabited 0.006438 s: CommMon_.equiv_lax_braided_functor_punit_inverse 0.094566 s: metric.sphere.charted_space.equations._eqn_1 0.000186 s: subsingleton.drec_on 0.012228 s: local_homeomorph.restr_eq_of_source_subset 0.000201 s: local_homeomorph.restr_univ 0.004229 s: id_groupoid._proof_4 0.004128 s: differentiable_at.restrict_scalars 0.002511 s: differentiable.restrict_scalars 0.001685 s: tactic_doc._2557555195 0.000320 s: parser.static.sat.equations._eqn_1 0.005116 s: int.nat_abs_div 0.000567 s: int.gcd_div 0.000318 s: int.gcd_div_gcd_div_gcd 0.000309 s: int.exists_gcd_one 0.000821 s: category_theory.with_initial.hom._main.equations._eqn_1 0.000157 s: category_theory.with_initial.hom.equations._eqn_1 0.000750 s: continuous_on.preimage_clopen_of_clopen 0.004069 s: nat.partrec.code.of_nat_code._main._pack.equations._eqn_2 0.000033 s: nat.partrec.code.of_nat_code._main.equations._eqn_2 0.000041 s: nat.partrec.code.of_nat_code.equations._eqn_2 0.001662 s: function.surjective.comm_semiring._proof_2 0.001014 s: function.surjective.comm_semiring._proof_3 0.001442 s: function.surjective.comm_semiring._proof_4 0.000930 s: function.surjective.comm_semiring._proof_6 0.000601 s: function.surjective.comm_semiring._proof_8 0.000604 s: function.surjective.comm_semiring._proof_9 0.001207 s: function.surjective.comm_semiring._proof_10 0.000898 s: function.surjective.comm_semiring._proof_11 0.000599 s: function.surjective.comm_semiring._proof_12 0.000488 s: function.surjective.comm_semiring._proof_13 0.000567 s: function.surjective.comm_semiring._proof_14 0.000504 s: function.surjective.comm_semiring._proof_15 0.001600 s: function.surjective.comm_semiring._proof_16 0.007954 s: function.surjective.comm_semiring 0.009265 s: function.surjective.comm_semiring.equations._eqn_1 0.000472 s: circle_deg1_lift.translation_number_of_eq_add_int 0.002526 s: subalgebra.to_subring.equations._eqn_1 0.012766 s: continuous_linear_map.norm_restrict_scalars 0.041678 s: continuous_linear_map.restrict_scalars_isometry 0.005105 s: topological_space.nonempty_compacts.to_compact_space.equations._eqn_1 0.007236 s: add_monoid_hom.coe_sum 0.007248 s: category_theory.limits.types.equalizer_limit._proof_3 0.000821 s: wseq.split_at._match_1.equations._eqn_4 0.000290 s: left_cancel_semigroup.sizeof 0.001067 s: left_cancel_semigroup.mk.sizeof_spec 0.002218 s: Top.adj₁._proof_3 0.000387 s: category_theory.exp_terminal_iso_self._proof_4 0.000363 s: buffer.append_list._main.equations._eqn_1 0.006410 s: smooth_map.has_add.equations._eqn_1 0.008756 s: pi.semilattice_inf.equations._eqn_1 0.038464 s: complex.deriv_cos 0.008160 s: continuous_linear_equiv.map_zero 0.001423 s: centroid_mem_affine_span_of_cast_card_ne_zero 0.000233 s: nonempty_plift 0.003803 s: finset.map_inter 0.001054 s: category_theory.non_preadditive_abelian.no_confusion_type 0.001354 s: category_theory.non_preadditive_abelian.no_confusion 0.000169 s: lists'.inhabited._sunfold 0.000478 s: qpf.no_confusion_type 0.000671 s: qpf.no_confusion 0.001037 s: qpf.mk.inj 0.000919 s: qpf.mk.inj_arrow 0.000586 s: category_theory.lax_braided_functor.category_lax_braided_functor.equations._eqn_1 0.000412 s: finset.lcm_empty 0.000375 s: measure_theory.ae_eq_fun.const.equations._eqn_1 0.000204 s: filter.realizer.cofinite._proof_1 0.000176 s: snum.has_le.equations._eqn_1 0.028511 s: filter.tendsto.at_top_div_const 0.063769 s: asymptotics.is_O.trans_tendsto_norm_at_top 0.012508 s: int.preimage_Ico 0.055163 s: hahn_series.integral_domain.equations._eqn_1 0.013268 s: linear_nonneg_ring.sizeof 0.000046 s: linear_nonneg_ring.has_sizeof_inst 0.000923 s: sym2.mem.other'.equations._eqn_1 0.000160 s: total.equations._eqn_1 0.000280 s: category_theory.mono_over.map_bot._proof_1 0.012127 s: category_theory.mono_over.map_bot._proof_2 0.004419 s: category_theory.mono_over.map_bot 0.000144 s: except_t.sizeof 0.000148 s: except_t.mk.sizeof_spec 0.000062 s: mwhen 0.001094 s: hahn_series.neg_coeff 0.000943 s: Mon_.limit_cone_X 0.003271 s: mv_polynomial.is_homogeneous_zero 0.001405 s: measure_theory.conservative.rec_on 0.000357 s: option.orelse_none' 0.001880 s: option.lift_or_get_is_left_id.equations._eqn_1 0.000232 s: sum.has_repr._match_1 0.000555 s: sum.has_repr._match_1.equations._eqn_1 0.000901 s: composition.mk.inj_eq 0.000112 s: left_inverse_inv 0.000092 s: is_total.cases_on 0.069960 s: differentiable_at.norm_square 0.082059 s: differentiable.norm_square 0.000337 s: ordnode.alter._match_2.equations._eqn_2 0.001191 s: category_theory.sum.inr_._proof_1 0.000877 s: category_theory.sum.inr_._proof_2 0.013272 s: category_theory.sum.inr_ 0.003930 s: category_theory.sum.inr_.equations._eqn_1 0.002298 s: finsupp.sum_finsupp_equiv_prod_finsupp_symm_inr 0.003433 s: continuous_map.mul_comp 0.012935 s: continuous_map.comp_right_alg_hom._proof_14 0.001500 s: asymptotics.is_o.prod_left_fst 0.038189 s: CommRing.category_theory.forget₂.category_theory.full 0.039025 s: CommRing.category_theory.forget₂.category_theory.full.equations._eqn_1 0.014757 s: affine_subspace.affine_span_eq_Inf 0.000685 s: option_t.catch._match_1.equations._eqn_1 0.002221 s: is_add_subgroup.of_add_neg 0.000975 s: category_theory.limits.reflects_colimit.sizeof 0.001537 s: category_theory.limits.reflects_colimit.mk.sizeof_spec 0.002437 s: smul_add_hom_apply 0.018907 s: monoid_algebra.lift_nc_smul 0.005049 s: add_monoid_algebra.lift_nc_smul 0.000733 s: sym2.mem_other_spec 0.002111 s: gcd_nsmul_eq_zero 0.000766 s: list.reverse_prefix 0.007491 s: list.prefix_of_prefix_length_le 0.000905 s: list.suffix_of_suffix_length_le 0.009541 s: ideal.quotient_mapₐ._proof_5 0.002354 s: equiv.perm.trunc_cycle_factors.equations._eqn_1 0.000368 s: turing.evals_to.sizeof 0.001036 s: turing.evals_to.mk.sizeof_spec 0.000532 s: forall_le_of_monotone_of_mono_decr 0.001517 s: csupr_mem_Inter_Icc_of_mono_incr_of_mono_decr 0.001251 s: csupr_mem_Inter_Icc_of_mono_decr_Icc 0.001409 s: equiv.sigma_prod_distrib._proof_2 0.000595 s: equiv.sigma_prod_distrib 0.000868 s: equiv.sigma_prod_distrib.equations._eqn_1 0.000694 s: nnreal.val_eq_coe 0.001870 s: metric.emetric_closed_ball_nnreal 0.001749 s: function.injective.sum_map 0.005004 s: dfinsupp.is_scalar_tower 0.000373 s: function.mul_support_subset_iff 0.001804 s: category_theory.grothendieck.hom.no_confusion_type 0.001645 s: category_theory.grothendieck.hom.no_confusion 0.002401 s: category_theory.grothendieck.hom.mk.inj 0.009993 s: category_theory.grothendieck.hom.mk.inj_eq 0.000400 s: locally_finite.equations._eqn_1 0.007599 s: category_theory.limits.cone_morphism.rec_on 0.000239 s: is_simple_lattice.cases_on 0.000080 s: Class.has_sdiff 0.000082 s: Class.has_sdiff.equations._eqn_1 0.015685 s: category_theory.functor.map_homological_complex_d 0.003456 s: add_submonoid.multiples_subset 0.000579 s: has_measurable_div₂.drec_on 0.001124 s: turing.tm2_computable_in_time.no_confusion_type 0.000743 s: is_local_max_on.comp_antimono 0.000545 s: ring_invo.has_coe_to_fun.equations._eqn_1 0.000208 s: reader_t.read 0.000137 s: reader_t.monad_reader 0.000198 s: reader_t.monad_reader.equations._eqn_1 0.000158 s: filter.inhabited 0.000100 s: filter.inhabited.equations._eqn_1 0.044261 s: Mon_.limit_cone_is_limit.equations._eqn_1 0.000113 s: slim_check.use_has_to_string.has_repr 0.000024 s: slim_check.use_has_to_string.mk 0.000061 s: slim_check.all_types_testable._proof_1 0.000604 s: slim_check.all_types_testable 0.000039 s: tactic.interactive.mono_cfg.inhabited 0.000210 s: free_magma.sizeof 0.000248 s: free_magma.of.sizeof_spec 0.014628 s: prod.add_torsor.equations._eqn_1 0.013397 s: filter.tendsto_at_bot_add_nonpos_left' 0.000184 s: Top.sheaf_to_Type._proof_1 0.000048 s: Top.presheaf.to_Type._proof_1 0.002785 s: Top.presheaf.to_Type 0.000212 s: Top.sheaf_to_Type 0.005126 s: filter.realizer.of_filter._match_3.equations._eqn_1 0.001540 s: typevec.rel_last.equations._eqn_1 0.004433 s: subgroup.is_open_of_mem_nhds 0.000775 s: open_subgroup.one_mem 0.000903 s: open_subgroup.mem_nhds_one 0.001294 s: subgroup.is_open_of_open_subgroup 0.003326 s: subgroup.is_open_mono 0.012290 s: open_subgroup.semilattice_sup_top._proof_9 0.299404 s: polynomial.roots_C_mul 0.424279 s: polynomial.roots_normalize 0.518929 s: polynomial.C_leading_coeff_mul_prod_multiset_X_sub_C 0.000121 s: subgroup.inhabited 0.121494 s: _private.1733257311.add._sunfold 0.000224 s: false_of_nontrivial_of_subsingleton 0.000181 s: char_p.false_of_nontrivial_of_char_one 0.015448 s: smooth_semiring.rec_on 0.014202 s: matrix.unitary_group.mul_val 0.000063 s: real.has_mul.equations._eqn_1 0.000039 s: rat.partial_order.equations._eqn_1 0.031966 s: equiv.perm.closure_cycle_adjacent_swap 0.007281 s: equiv.perm.support_pow_coprime 0.017011 s: equiv.perm.closure_cycle_coprime_swap 0.006346 s: equiv.perm.closure_prime_cycle_swap 0.001032 s: typevec.cases_cons._proof_1 0.000278 s: typevec.cases_cons 0.001209 s: typevec.cases_cons_append1 0.000492 s: category_theory.limits.has_biproduct.drec 0.001157 s: filter.realizer.sup._match_5.equations._eqn_1 0.001919 s: category_theory.equivalence.ess_surj_induced_functor.equations._eqn_1 0.000376 s: function.surjective.unique._match_1.equations._eqn_1 0.008228 s: dfinsupp.map_range.linear_map_id 0.001985 s: times_cont_mdiff_map.inhabited._proof_1 0.000510 s: category_theory.limits.walking_span.hom 0.001152 s: cau_seq.is_complete.mk.inj_arrow 0.000506 s: is_compactly_generated.drec_on 0.000835 s: simple_graph.incidence_set_equiv_neighbor_set._proof_2 0.000704 s: simple_graph.incidence_set_equiv_neighbor_set._proof_3 0.005606 s: simple_graph.incidence_set_equiv_neighbor_set._proof_4 0.001018 s: simple_graph.incidence_set_equiv_neighbor_set._proof_5 0.001567 s: simple_graph.incidence_set_equiv_neighbor_set 0.003496 s: category_theory.limits.cocone_left_op_of_cone 0.006571 s: nat.add_div_eq_of_add_mod_lt 0.004440 s: category_theory.abelian.epi_is_cokernel_of_kernel.equations._eqn_1 0.000102 s: expr_lens.dir.to_string._sunfold 0.000095 s: io.proc.child.stdout.equations._eqn_1 0.000923 s: adjoin_root.is_root_root 0.001678 s: one_hom.cancel_right 0.002976 s: nat.primrec'.drec_on 0.007458 s: set.Ico_union_Ico' 0.005800 s: set.Ico_union_Ico 0.003458 s: finset.Ico.union 0.000417 s: pfunctor.M.approx.s_mk.equations._eqn_2 0.001568 s: category_theory.grothendieck_topology.no_confusion_type 0.001539 s: category_theory.grothendieck_topology.no_confusion 0.002646 s: category_theory.grothendieck_topology.mk.inj 0.000209 s: Borel 0.000103 s: Borel.equations._eqn_1 0.000562 s: pi.conditionally_complete_lattice._proof_3 0.000855 s: add_submonoid.coe_comap 0.008319 s: Mon.forget_reflects_isos 0.000249 s: is_preorder.drec_on 0.000481 s: is_add_submonoid.rec_on 0.000573 s: category_theory.subobject.has_coe.equations._eqn_1 0.000267 s: is_least.equations._eqn_1 0.000462 s: list.transpose_aux._main.equations._eqn_1 0.000103 s: list.transpose_aux.equations._eqn_1 0.021367 s: module.dual.transpose_apply 0.331520 s: linear_map.to_matrix_symm_transpose 0.030283 s: measure_theory.measure.finite_spanning_sets_in.mk.sizeof_spec 0.000078 s: pnat.has_repr 0.000760 s: equiv.to_iso_inv 0.000468 s: turing.TM1.step._sunfold 0.000709 s: enat.with_top_equiv_symm_coe 0.000117 s: slim_check.small.mk.equations._eqn_1 0.006202 s: Top.presheaf.to_sheafify._proof_1 0.018240 s: Top.presheaf.germ_res_apply' 0.042586 s: Top.presheaf.to_sheafify._proof_2 0.006222 s: Top.presheaf.to_sheafify 0.000253 s: multiset.has_zero.equations._eqn_1 0.000316 s: category_theory.limits.has_zero_object.sizeof 0.000087 s: category_theory.limits.has_zero_object.has_sizeof_inst 0.000500 s: equiv.nat_equiv_nat_sum_punit._proof_2 0.000197 s: equiv.nat_equiv_nat_sum_punit 0.000092 s: equiv.nat_equiv_nat_sum_punit.equations._eqn_1 0.002771 s: smooth_add_right 0.000058 s: vm_obj_kind.format.inj_arrow 0.000477 s: set.diff.equations._eqn_1 0.005161 s: smooth_within_at.prod_mk_space 0.001532 s: ordnode.split._main.equations._eqn_2 0.000277 s: ordnode.split.equations._eqn_2 0.001372 s: turing.TM2.stmt.pop.inj 0.005873 s: basic_smooth_bundle_core.cases_on 0.000735 s: local_homeomorph.preimage_frontier 0.001822 s: is_add_subgroup.univ_add_subgroup.equations._eqn_1 0.000878 s: is_mul_hom.comp 0.000669 s: is_group_hom.comp 0.000711 s: monoid.mfoldr.get.equations._eqn_1 0.143158 s: has_sum_geometric_of_abs_lt_1 0.018436 s: pochhammer_zero_eval_zero 0.000079 s: name.update_prefix._sunfold 0.002520 s: continuous_within_at.diff_iff 0.000389 s: continuous_within_at_diff_self 0.002361 s: continuous_within_at_Ioi_iff_Ici 0.000177 s: set.finite.equations._eqn_1 0.002450 s: category_theory.symmetric_category.no_confusion_type 0.002135 s: category_theory.symmetric_category.no_confusion 0.003319 s: category_theory.symmetric_category.mk.inj 0.001335 s: category_theory.symmetric_category.mk.inj_arrow 0.001408 s: category_theory.core.functor_to_core._proof_1 0.001613 s: category_theory.core.functor_to_core._proof_2 0.027412 s: category_theory.core.functor_to_core._proof_4 0.009894 s: category_theory.core.functor_to_core 0.003608 s: qpf.cofix.bisim' 0.000302 s: measure_theory.simple_func.no_confusion_type 0.000337 s: measure_theory.simple_func.no_confusion 0.000703 s: measure_theory.simple_func.mk.inj 0.000972 s: category_theory.limits.prod.right_unitor_hom 0.002785 s: category_theory.abelian.pseudoelement.zero_eq_zero' 0.000700 s: category_theory.abelian.pseudoelement.zero_eq_zero 0.004593 s: category_theory.abelian.pseudoelement.apply_zero 0.000147 s: set.sep.equations._eqn_1 0.000097 s: monad_io_terminal.cases_on 0.002961 s: intermediate_field.mem_mk 0.001327 s: is_Gδ_Inter_of_open 0.031028 s: polynomial.comp.is_semiring_hom 0.004753 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_19 0.013642 s: linear_equiv.skew_prod_apply 0.000139 s: zsqrtd.sqrtd.equations._eqn_1 0.002210 s: category_theory.limits.biproduct.is_limit.equations._eqn_1 0.001372 s: set.diagonal_eq_range 0.019291 s: alg_equiv.arrow_congr_symm 0.009083 s: category_theory.monoidal_category.associator_naturality' 0.003666 s: category_theory.is_filtered_of_semilattice_sup_top.equations._eqn_1 0.001493 s: is_path_connected_iff 0.000973 s: path.of_line._proof_1 0.001048 s: path.of_line 0.002064 s: path.of_line_mem 0.001248 s: joined_in.of_line 0.311870 s: convex.is_path_connected 0.000151 s: list.has_mem.equations._eqn_1 0.000318 s: ctop.realizer.is_basis 0.000308 s: continuous.rec_on 0.000349 s: pgame.le_lt_decidable._main._pack._proof_1 0.000196 s: pgame.le_lt_decidable._main._pack._proof_2 0.000226 s: pgame.le_lt_decidable._main._pack._proof_4 0.034446 s: pgame.le_lt_decidable._main._pack._proof_5 0.000245 s: pgame.le_lt_decidable._main._pack._proof_6 0.000218 s: pgame.le_lt_decidable._main._pack._proof_7 0.000355 s: pgame.le_lt_decidable._main._pack._proof_8 0.000198 s: pgame.le_lt_decidable._main._pack._proof_9 0.000204 s: pgame.le_lt_decidable._main._pack._proof_11 0.000200 s: pgame.le_lt_decidable._main._pack._proof_12 0.073996 s: pgame.le_lt_decidable._main._pack.equations._eqn_1 0.055209 s: pgame.le_lt_decidable._main.equations._eqn_1 0.048672 s: pgame.le_lt_decidable.equations._eqn_1 0.000247 s: lists'.inhabited._main 0.087004 s: abs_inner_eq_norm_iff 0.000708 s: mul_action_with_zero.sizeof 0.013418 s: mul_action_with_zero.mk.sizeof_spec 0.000996 s: category_theory.with_initial.incl_lift_to_initial 0.015115 s: rat.floor_ring.equations._eqn_1 0.000348 s: ring_invo.id._proof_1 0.000258 s: ring_invo.id._proof_3 0.000225 s: ring_invo.id._proof_4 0.023601 s: ring_invo.id._proof_5 0.013470 s: ring_invo.id 0.000090 s: ring_invo.inhabited 0.000213 s: measurable_set_ball 0.000193 s: zsqrtd.bit0_im 0.000143 s: opposite.has_zero.equations._eqn_1 0.000294 s: algebra.to_comap._proof_3 0.004298 s: linear_equiv.to_Module_iso'_hom 0.001312 s: category_theory.limits.has_pullbacks_of_has_limit_cospan 0.002728 s: complete_semilattice_Sup.mk.inj 0.002678 s: complete_semilattice_Sup.mk.inj_arrow 0.000048 s: vm_obj_kind.format.inj_eq 0.002493 s: add_subgroup.topological_closure.equations._eqn_1 0.000157 s: semiquot.semilattice_sup_top._proof_1 0.000216 s: semiquot.semilattice_sup_top._proof_2 0.000340 s: semiquot.semilattice_sup_top._proof_3 0.000367 s: semiquot.semilattice_sup_top._proof_4 0.000375 s: semiquot.semilattice_sup_top._proof_5 0.000060 s: semiquot.semilattice_sup._proof_1 0.000130 s: semiquot.semilattice_sup._proof_2 0.000200 s: semiquot.semilattice_sup._proof_3 0.000184 s: semiquot.semilattice_sup._proof_4 0.000340 s: semiquot.semilattice_sup._proof_5 0.000110 s: semiquot.semilattice_sup._proof_6 0.000211 s: semiquot.semilattice_sup._proof_7 0.004017 s: semiquot.semilattice_sup 0.000482 s: semiquot.semilattice_sup_top._proof_6 0.000291 s: semiquot.semilattice_sup_top._proof_7 0.000429 s: semiquot.semilattice_sup_top._proof_8 0.004297 s: semiquot.semilattice_sup_top 0.019104 s: function.injective.linear_ordered_cancel_comm_monoid._proof_11 0.004075 s: seq.eq_or_mem_of_mem_cons 0.000590 s: seq.mem_cons 0.000300 s: seq.mem_cons_iff 0.002252 s: seq.mem_append_left 0.000118 s: ordnode.find_min._main 0.000352 s: ordnode.find_min._main.equations._eqn_2 0.007957 s: continuous_linear_equiv.prod_apply 0.000236 s: normed_group_hom.range 0.000256 s: normed_group_hom.range.equations._eqn_1 0.004945 s: category_theory.limits.is_initial.of_iso._proof_1 0.002642 s: category_theory.limits.is_initial.of_iso._proof_2 0.015417 s: category_theory.limits.is_initial.of_iso._proof_3 0.004779 s: category_theory.limits.is_initial.of_iso 0.002017 s: category_theory.limits.is_initial.of_iso.equations._eqn_1 0.001916 s: direct_sum.grade_zero.smul_eq_mul 0.000099 s: category_theory.is_connected.rec_on 0.000306 s: holor.assoc_left.equations._eqn_1 0.006541 s: holor_index.drop_take 0.013854 s: list.drop_drop 0.006424 s: holor_index.drop_drop 0.000446 s: holor.cast_type 0.002494 s: holor.mul_assoc0 0.001153 s: holor.mul_assoc 0.002426 s: mem_right_add_coset_iff 0.004952 s: add_subgroup.right_coset_equiv_add_subgroup._match_2 0.001752 s: add_subgroup.right_coset_equiv_add_subgroup._proof_4 0.000089 s: slim_check.convert_counter_example' 0.000499 s: slim_check.iff_testable._proof_1 0.000164 s: slim_check.iff_testable 0.000298 s: ae_measurable_one 0.002239 s: list.ae_measurable_prod' 0.001478 s: list.ae_measurable_prod 0.000356 s: list.func.add.equations._eqn_1 0.002279 s: list.func.add_nil 0.000175 s: is_asymm.is_antisymm 0.000117 s: has_lt.lt.is_antisymm 0.000115 s: has_lt.lt.is_antisymm.equations._eqn_1 0.000389 s: set.nonempty_Iic_subtype.equations._eqn_1 0.000110 s: parser.one_of' 0.000103 s: parser.one_of'.equations._eqn_1 0.000101 s: parser.static.one_of 0.004133 s: parser.one_of'_eq_done 0.012136 s: parser.static.one_of'_iff 0.000116 s: complex.abs_ne_zero 0.005237 s: enat.canonically_ordered_add_monoid.equations._eqn_1 0.000226 s: list.mmap_accuml._match_1 0.000211 s: list.mmap_accuml._match_2 0.000583 s: list.mmap_accuml._main 0.000726 s: list.mmap_accuml._main.equations._eqn_1 0.021165 s: finset.prod_add_ordered 0.025002 s: finset.prod_sub_ordered 0.011934 s: finset.prod_one_sub_ordered 0.000087 s: linarith.ineq.cmp._main.equations._eqn_7 0.000075 s: linarith.ineq.cmp.equations._eqn_7 0.000140 s: turing.reaches.equations._eqn_1 0.002884 s: category_theory.mono_over.forget_obj_left 0.003806 s: category_theory.comma_morphism.inhabited._proof_1 0.002065 s: category_theory.comma_morphism.inhabited 0.000756 s: asymptotics.is_equivalent.tendsto_at_top_iff 0.157647 s: _private.2310769321.lim.equations._eqn_1 0.056781 s: category_theory.functor.map_cone_op 0.037863 s: category_theory.functor.map_cone_op.equations._eqn_1 0.005711 s: ring.is_noetherian_of_fintype 0.002941 s: DFA.mk.sizeof_spec 0.000172 s: euclidean_domain.npow._default 0.000501 s: euclidean_domain.npow._default.equations._eqn_1 0.000426 s: emetric.diam_ball 0.000831 s: ordinal.lift._match_2._proof_1 0.000460 s: is_simple_lattice.drec_on 0.005776 s: real.ordered_ring.equations._eqn_1 0.001036 s: ring_equiv.coe_mk 0.000552 s: string.iterator.prevn._main.equations._eqn_2 0.000223 s: bucket_array.write 0.015809 s: category_theory.uncurry_exp_comparison 0.000129 s: tactic.apply_cfg.rec_on 0.004839 s: linear_ordered_cancel_add_comm_monoid.no_confusion 0.000718 s: pos_num.lor._main.equations._eqn_5 0.001258 s: submonoid.coe_bot 0.000258 s: prod.one_eq_mk 0.002410 s: submonoid.bot_prod_bot 0.000288 s: omega.int.neg_elim._main.equations._eqn_2 0.000048 s: omega.int.neg_elim.equations._eqn_2 0.000586 s: filter.is_antimono_basis.drec 0.000443 s: turing.TM2to1.st_act.pop.sizeof_spec 0.000700 s: pgame.state.mk.inj_arrow 0.000326 s: category_theory.pi.sum_elim_category._sunfold 1.184565 s: ideal.integral_closure.is_maximal_of_is_maximal_comap 0.216901 s: ring.dimension_le_one.integral_closure 0.047784 s: submodule.comap_mkq.rel_iso._match_1.equations._eqn_1 0.000326 s: free_group.red.decidable_rel._match_3._proof_2 0.007968 s: function.surjective.monoid.equations._eqn_1 0.001058 s: category_theory.sum.inverse_associator_obj_inl 0.006351 s: normed_space.inclusion_in_double_dual.equations._eqn_1 0.003731 s: free_algebra.rel.rec_on 0.001570 s: deriv_within_add 0.003857 s: category_theory.over.creates_connected.raise_cone_X 0.000202 s: continuous_map.has_zero.equations._eqn_1 0.035355 s: fderiv_mul_const 0.020129 s: setoid.eqv_gen_of_setoid 0.000332 s: nhds_within_Iic_ne_bot 0.000100 s: nhds_within_Iic_self_ne_bot 0.000382 s: set.enumerate._main.equations._eqn_1 0.000137 s: expr.coord.code._main.equations._eqn_1 0.085025 s: times_cont_diff_within_at.norm 0.098519 s: times_cont_diff_on.norm 0.000616 s: real.sqrt_aux._sunfold 0.000335 s: eckmann_hilton.is_unital.drec_on 0.000541 s: ωCPO.has_products.category_theory.limits.has_product 0.000550 s: ωCPO.category_theory.limits.has_products 0.016066 s: ωCPO.has_equalizers.is_equalizer._proof_1 0.003285 s: ωCPO.has_equalizers.is_equalizer._proof_2 0.038148 s: ωCPO.has_equalizers.is_equalizer._proof_4 0.016822 s: ωCPO.has_equalizers.is_equalizer 0.000401 s: ωCPO.category_theory.limits.parallel_pair.category_theory.limits.has_limit 0.000113 s: ωCPO.category_theory.limits.has_equalizers 0.000122 s: ωCPO.category_theory.limits.has_limits 0.003010 s: finset.le_fold_max 0.008625 s: mvpfunctor.M.corec_contents._sunfold 0.000949 s: omega.int.preterm.repr._main.equations._eqn_3 0.001641 s: cancel_monoid.rec_on 0.008985 s: rat.linear_ordered_field.equations._eqn_1 0.003715 s: lists.equiv._mut_.dcases_on 0.001902 s: list.map_reverse_inits 0.003103 s: list.perm_append_left_iff 0.000279 s: list.perm_append_right_iff 0.002064 s: multiset.cons_inj_left 0.002778 s: sym.cons_inj_left 0.000464 s: subsemiring.closure_eq_of_le 0.000206 s: num.sub'._main.equations._eqn_1 0.000031 s: num.sub'.equations._eqn_1 0.001619 s: subsemiring.Inf_to_submonoid 0.000194 s: category_theory.lax_monoidal_functor.inhabited 0.000183 s: category_theory.lax_monoidal_functor.inhabited.equations._eqn_1 0.007354 s: affine_independent.equations._eqn_1 0.000088 s: string.iterator.to_end._sunfold 0.000548 s: is_min_on_dual_iff 0.000151 s: is_max_on.dual 0.000016 s: equiv.prop_equiv_punit._proof_1 0.000040 s: equiv.prop_equiv_punit._proof_2 0.000078 s: equiv.prop_equiv_punit._match_1 0.000030 s: equiv.prop_equiv_punit._proof_3 0.000121 s: equiv.prop_equiv_punit 0.000013 s: equiv.true_equiv_punit 0.001946 s: punit.nonempty_fin_lin_ord._proof_2 0.006637 s: topological_space.is_topological_basis_of_cover 0.001701 s: topological_space.second_countable_topology_of_countable_cover 0.001262 s: charted_space.second_countable_of_countable_cover 0.004706 s: countable_cover_nhds_of_sigma_compact 0.001453 s: charted_space.second_countable_of_sigma_compact 0.000480 s: matrix.vec_mul_vec_empty 0.000096 s: ordering.decidable_eq._match_2._proof_1 0.000153 s: ordering.decidable_eq._match_2.equations._eqn_2 0.000256 s: local_homeomorph.replace_equiv._proof_1 0.000162 s: local_homeomorph.replace_equiv._proof_2 0.000258 s: local_homeomorph.replace_equiv._proof_3 0.000251 s: local_homeomorph.replace_equiv._proof_4 0.000478 s: local_homeomorph.replace_equiv 0.000479 s: local_homeomorph.is_image_source_target 0.001150 s: local_homeomorph.disjoint_union._proof_2 0.000247 s: set.eq_on_empty 0.000462 s: local_homeomorph.disjoint_union._proof_3 0.003297 s: local_equiv.copy_eq_self 0.003364 s: local_equiv.disjoint_union_eq_piecewise 0.001376 s: local_homeomorph.disjoint_union._proof_4 0.002666 s: local_homeomorph.disjoint_union 0.051543 s: bundle_trivialization.disjoint_union._proof_6 0.102761 s: subring.domain._match_2.equations._eqn_1 0.013006 s: add_subgroup.of_sub._proof_2 0.000168 s: CompHaus.has_coe_to_sort.equations._eqn_1 0.000234 s: locally_constant.comm_ring._proof_2 0.016167 s: ordered_comm_group.to_ordered_cancel_comm_monoid.equations._eqn_1 0.367429 s: is_absolute_value.mem_uniformity 0.120186 s: rat.cast_abs 1.781553 s: rat.uniform_space_eq 0.161192 s: rational_cau_seq_pkg._proof_1 0.000174 s: rational_cau_seq_pkg._proof_2 0.237662 s: rational_cau_seq_pkg 0.000664 s: compare_reals.compare_equiv 0.061092 s: int.is_compl_even_odd 0.000110 s: ordinal.has_lt.equations._eqn_1 0.012232 s: lie_ideal.top_equiv_self_apply 0.004824 s: Top.presheaf.sheaf_condition.opens_le_cover_cocone._proof_1 0.007890 s: Top.presheaf.sheaf_condition.opens_le_cover_cocone 0.001148 s: Top.presheaf.sheaf_condition_opens_le_cover 0.024731 s: category_theory.functor.map_cone_postcompose_equivalence_functor._proof_1 0.011868 s: category_theory.functor.map_cone_postcompose_equivalence_functor 0.105921 s: Top.presheaf.sheaf_condition.pairwise_cocone_iso._proof_1 0.113727 s: Top.presheaf.sheaf_condition.pairwise_cocone_iso 0.107203 s: Top.presheaf.sheaf_condition_opens_le_cover_equiv_sheaf_condition_pairwise_intersections 0.198405 s: Top.presheaf.sheaf_condition_opens_le_cover_equiv_sheaf_condition_pairwise_intersections.equations._eqn_1 0.000571 s: one_hom.id_apply 0.005278 s: set.range_inr_union_range_inl 0.267011 s: real.normed_linear_ordered_field.equations._eqn_1 0.000654 s: polynomial.faithful_mul_semiring_action._proof_1 0.000370 s: polynomial.faithful_mul_semiring_action._proof_2 0.041640 s: polynomial.faithful_mul_semiring_action._proof_3 0.000977 s: polynomial.faithful_mul_semiring_action 0.000827 s: polynomial.faithful_mul_semiring_action.equations._eqn_1 0.000438 s: mvqpf.comp.map 0.000257 s: mvqpf.comp.mvfunctor 0.003116 s: mvqpf.comp.get_map 0.003491 s: category_theory.monoidal.transported_monoidal_counit_iso._proof_1 0.047915 s: category_theory.monoidal.transported_monoidal_counit_iso._proof_2 0.076815 s: category_theory.monoidal.transported_monoidal_counit_iso._proof_3 0.029429 s: category_theory.monoidal.transported_monoidal_counit_iso 0.000084 s: tactic.tactic_script.sizeof 0.000291 s: list.lex.is_order_connected._match_1.equations._eqn_1 0.000286 s: is_complemented.drec_on 0.007840 s: set.Ico_subset_Icc_union_Ioo 0.000300 s: set.Ico_subset_Icc_union_Ico 0.000189 s: set.subset_of_mem_powerset 0.067753 s: multiplicity.add_valuation.equations._eqn_1 0.000447 s: dfinsupp.pre.no_confusion_type 0.007092 s: dfinsupp.pre.no_confusion 0.001039 s: dfinsupp.pre.mk.inj 0.006828 s: dfinsupp.pre.mk.inj_eq 0.006579 s: turing.id_computable_in_poly_time.equations._eqn_1 0.004841 s: subset.comm_ring.equations._eqn_1 0.000412 s: turing.TM1.supports.equations._eqn_1 0.000430 s: writer_t.listen._sunfold 0.002824 s: lie_hom.map_sub 0.000043 s: category_theory.parallel_pair_inhabited 0.000227 s: category_theory.parallel_pair_inhabited.equations._eqn_1 0.000749 s: lt_add_of_nonneg_of_lt 0.024181 s: nat.fib_pos 0.013363 s: polynomial.degree_eq_degree_of_associated 0.207251 s: polynomial.irreducible_of_degree_eq_one 0.000487 s: units.map' 0.545251 s: polynomial.splits_of_exists_multiset 0.000713 s: fin_enum.psigma.fin_enum_prop_right._match_4.equations._eqn_1 0.000132 s: rack.pre_envel_group_rel'.one_mul.inj 0.000103 s: pi.roption.has_fix 0.019930 s: pi.lawful_fix._proof_1 0.004406 s: pi.lawful_fix 0.001654 s: category_theory.split_epi.epi.equations._eqn_1 0.000327 s: multiplicative.ordered_cancel_comm_monoid._proof_10 0.000552 s: ring_hom.eq_locus_field._proof_2 0.000233 s: AddMagma.of.equations._eqn_1 0.003048 s: category_theory.functor.to_ess_image.ess_surj._match_1 0.001164 s: ring_hom.mem_range_self 0.002177 s: mvqpf.comp.map_mk 0.000600 s: measure_theory.simple_func.pair.equations._eqn_1 0.000750 s: category_theory.monad_iso.to_nat_iso 0.000483 s: pgame.one_move_left 0.001040 s: category_theory.functor.map_cone_morphism 0.001847 s: list.lex.decidable_rel._main._proof_3 0.002826 s: list.lex.decidable_rel._main.equations._eqn_4 0.000394 s: list.lex.decidable_rel.equations._eqn_4 0.013184 s: ordered_ring.cases_on 0.008456 s: ordered_ring.no_confusion_type 0.005665 s: ordered_ring.no_confusion 0.020897 s: ordered_ring.mk.inj 0.008037 s: dmatrix.map_zero 0.001120 s: multiset.partial_order.equations._eqn_1 0.000153 s: mul_action_with_zero.has_sizeof_inst 0.000075 s: nat.semigroup.equations._eqn_1 0.000068 s: tree.nil.inj_arrow 0.133926 s: Module.sections_submodule.equations._eqn_1 0.026647 s: linear_map.linear_equiv_of_ker_eq_bot_apply 0.016814 s: category_theory.groupoid_of_elements._proof_2 0.016894 s: category_theory.groupoid_of_elements._proof_3 0.005143 s: category_theory.groupoid_of_elements._proof_4 0.007072 s: category_theory.groupoid_of_elements._proof_5 0.002166 s: category_theory.category_of_elements.ext 0.147520 s: category_theory.groupoid_of_elements._proof_6 0.166022 s: category_theory.groupoid_of_elements._proof_7 0.057626 s: category_theory.groupoid_of_elements 0.010020 s: category_theory.action_category.category_theory.groupoid 0.000763 s: module.End.has_generalized_eigenvalue 0.000757 s: module.End.has_generalized_eigenvalue.equations._eqn_1 0.066548 s: complex.tan_arg 0.015265 s: sup_supr_nat_succ 0.000146 s: rack.pre_envel_group_rel'.mul_one.inj 0.003409 s: category_theory.limits.fork.app_zero_right_assoc 0.002156 s: finset.Ico.subset 0.001998 s: category_theory.prod.fst.equations._eqn_1 0.002560 s: prod.semilattice_sup.equations._eqn_1 0.000256 s: applicative.no_confusion_type 0.000547 s: applicative.no_confusion 0.000513 s: applicative.mk.inj 0.007356 s: with_bot.inf_eq_min 0.001388 s: category_theory.monoidal_functor.μ_iso.equations._eqn_1 0.000336 s: pfunctor.approx.all_agree.equations._eqn_1 0.000274 s: filter.realizer.no_confusion_type 0.000440 s: filter.realizer.no_confusion 0.001344 s: filter.realizer.mk.inj 0.000416 s: filter.realizer.mk.inj_arrow 0.003617 s: filter.eventually_le.union 0.000387 s: ae_measurable.ennreal_coe 0.004409 s: nnreal.lintegral_mul_le_Lp_mul_Lq 0.000259 s: pprod.no_confusion 0.022579 s: lagrange.linterpolate.equations._eqn_1 0.000661 s: list.get_rest._main.equations._eqn_1 0.000104 s: list.get_rest.equations._eqn_1 0.089938 s: has_mfderiv_within_at.congr_mono 0.018228 s: mdifferentiable_within_at.congr_mono 0.002631 s: mdifferentiable_on.congr_mono 0.000340 s: setoid.quotient_quotient_equiv_quotient._proof_1 0.001657 s: setoid.quotient_quotient_equiv_quotient._proof_2 0.003421 s: setoid.quotient_quotient_equiv_quotient._proof_5 0.001995 s: setoid.quotient_quotient_equiv_quotient 0.000095 s: real.log_surjective 0.000071 s: real.range_log 0.001869 s: submonoid.mem_inf 0.025239 s: ulift.group._proof_7 0.010988 s: lie_ideal.normalizer_eq_top 0.002413 s: category_theory.triangulated.rot_comp_inv_rot.equations._eqn_1 0.000104 s: ordnode.find_lt 0.000201 s: ordnode.find_lt.equations._eqn_1 0.072744 s: derivation.sub_apply 0.000057 s: int.pred 0.029377 s: int.pred_self_lt 0.000028 s: tactic.tfae.arrow.left.inj 0.000028 s: tactic.tfae.arrow.left.inj_arrow 0.000111 s: bool.topological_space 0.000083 s: bool.discrete_topology 0.000156 s: irreducible_space.cases_on 0.002685 s: category_theory.limits.eq_zero_of_mono_cokernel 0.001257 s: category_theory.limits.cokernel_not_mono_of_nonzero 0.001773 s: set.image_eq 0.003599 s: option.lift_or_get_assoc.equations._eqn_1 0.000896 s: category_theory.sum.associator_obj_inl_inr 0.000556 s: mk_iff.list_option_merge._main.equations._eqn_1 0.000941 s: nonarchimedean_group.drec_on 0.001155 s: category_theory.structured_arrow.map.equations._eqn_1 0.000376 s: pos_num.add._main.equations._eqn_7 0.012385 s: continuous_multilinear_map.curry0_norm 0.002435 s: pgame.inv_val._main.equations._eqn_2 0.000383 s: pgame.inv_val.equations._eqn_2 0.212445 s: subfield.field_range_subtype 0.000282 s: has_measurable_mul₂.cases_on 0.032159 s: category_theory.colimit_adj.is_extension_along_yoneda.equations._eqn_1 0.000215 s: infinite.of_surjective 0.000185 s: add_semigroup.to_is_associative.equations._eqn_1 0.013727 s: category_theory.triangulated.triangle.mk'.inj_eq 0.000147 s: nontrivial_prod_left 0.000156 s: nontrivial_prod_left.equations._eqn_1 0.005754 s: dfinsupp.subtype_domain_zero 0.000043 s: turing.to_partrec.code.tail.inj 0.000063 s: turing.to_partrec.code.tail.inj_arrow 0.001048 s: units.mul_inv_of_eq 0.005453 s: znum.add_comm_group.equations._eqn_1 0.012968 s: ennreal.supr_coe_nat 0.020396 s: mv_polynomial.aeval_comp_bind₁ 0.000357 s: wseq.take._match_1.equations._eqn_1 0.000481 s: dmatrix.has_add.equations._eqn_1 0.010529 s: module.directed_system.drec 0.000633 s: lazy_list.to_list._main.equations._eqn_1 0.000469 s: add_submonoid.of 0.000236 s: add_submonoid.of.equations._eqn_1 0.000138 s: add_units.partial_order 0.000265 s: add_units.ordered_add_comm_group._proof_10 0.000560 s: strict_mono_mul_right_of_pos 0.000338 s: commute.units_inv_right_iff 0.001058 s: equiv.pempty_sum_apply_inr 0.001510 s: set.univ_pi_eq_empty_iff 0.022738 s: measure_theory.pi_premeasure_pi' 0.007664 s: measure_theory.pi_premeasure_pi_eval 0.008486 s: fin.mk_succ_pos 0.000162 s: opposite.has_add.equations._eqn_1 0.005587 s: is_add_subgroup.normalizer_is_add_subgroup 0.000869 s: enorm.semilattice_sup_top._proof_2 0.001451 s: normal_subgroup.drec_on 0.000514 s: ordnode.split_at_aux._match_1.equations._eqn_2 0.001845 s: category_theory.cofinal.cocones_equiv_functor 0.008685 s: real.cos_sub_pi 0.000691 s: le_of_inv_le_inv 0.000307 s: one_le_of_inv_le_one 0.004065 s: category_theory.nat_trans.remove_op_id 0.060706 s: continuous_linear_map.deriv₂.equations._eqn_1 0.026830 s: linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid.equations._eqn_1 0.008353 s: pos_num.cast_le 0.001154 s: subring.range_snd 0.008531 s: category_theory.iso.Ring_iso_to_ring_equiv._proof_3 0.001987 s: category_theory.cofinal.cones_equiv_inverse 0.003409 s: ennreal.coe_nonneg 0.000870 s: category_theory.comonad.coalgebra.comp_eq_comp 0.000249 s: closed_embedding.cases_on 0.000183 s: imp_eq_of_eq_true_right 0.000107 s: vector.map_accumr 0.000116 s: bitvec.neg 0.000647 s: normed_group_hom.isometry_of_norm 0.021826 s: lie_submodule.quotient.action_as_endo_map_bracket 0.022836 s: lie_submodule.quotient.action_as_endo_map_bracket.equations._eqn_1 0.002612 s: polynomial.eq_nat_degree_of_le_mem_support 0.000198 s: Class.fval.equations._eqn_1 0.015386 s: int.to_add_pow 0.000706 s: to_add_inv 0.070363 s: int.to_add_gpow 0.000489 s: int.of_add_mul 0.017854 s: pi.add_cancel_monoid._proof_7 0.000469 s: is_subfield.drec_on 0.002556 s: intermediate_field.rec_on 0.000397 s: omega.int.neg_elim._main.equations._eqn_5 0.000381 s: uniform_space.completion.nonempty_completion_iff 0.002051 s: quaternion.algebra_map_def 0.009759 s: cardinal.bit1_le_bit0 0.000090 s: multiset.singleton_inj 0.005780 s: category_theory.limits.types.limit_cone_is_limit.equations._eqn_1 0.002089 s: finset.is_lawful_functor.equations._eqn_1 0.000114 s: string.iterator.set_curr._sunfold 0.000372 s: con.map_gen 0.001455 s: con.map_of_surjective_eq_map_gen 0.000463 s: poly.zero_eval 0.007088 s: poly.neg_eval 0.000648 s: subsingleton.prod 0.000111 s: subsingleton_prod_self_equiv._proof_1 0.000060 s: subsingleton_prod_self_equiv._proof_2 0.000249 s: subsingleton_prod_self_equiv 0.001046 s: ordnode.fold._main.equations._eqn_2 0.000969 s: nat.lcm_self 0.000084 s: int.lcm_self 0.000110 s: lists.decidable_eq._proof_1 0.004894 s: matrix.vec_mul_cons 0.000932 s: category_theory.monoidal_category.tensor_left.equations._eqn_1 0.000448 s: algebraic_geometry.SheafedSpace.category_theory.category.equations._eqn_1 0.000149 s: additive.ordered_add_comm_group._proof_1 0.000189 s: additive.ordered_add_comm_group._proof_3 0.001161 s: additive.ordered_add_comm_group._proof_4 0.000212 s: additive.ordered_add_comm_group._proof_5 0.000469 s: additive.ordered_add_comm_group._proof_6 0.000184 s: additive.ordered_add_comm_group._proof_8 0.000134 s: additive.ordered_add_comm_group._proof_10 0.000241 s: additive.ordered_add_comm_group._proof_11 0.000370 s: additive.ordered_add_comm_group._proof_12 0.000849 s: additive.ordered_add_comm_group._proof_13 0.021994 s: additive.ordered_add_comm_group 0.000220 s: additive.linear_ordered_add_comm_group._proof_8 0.000327 s: category_theory.limits.has_finite_biproducts.drec_on 0.000351 s: mul_zero_one_class.sizeof 0.000053 s: mul_zero_one_class.has_sizeof_inst 0.021840 s: padic_int.local_ring.equations._eqn_1 0.002899 s: pregroupoid.cases_on 0.001061 s: pregroupoid.no_confusion_type 0.000960 s: pregroupoid.no_confusion 0.001299 s: pregroupoid.mk.inj 0.014753 s: mv_polynomial.coeff.is_add_group_hom.equations._eqn_1 0.000410 s: add_subgroup.closure.equations._eqn_1 0.000319 s: add_subgroup.to_linear_ordered_add_comm_group._proof_1 0.000487 s: add_subgroup.to_linear_ordered_add_comm_group._proof_2 0.000433 s: add_subgroup.to_linear_ordered_add_comm_group._proof_4 0.011365 s: add_subgroup.to_linear_ordered_add_comm_group 0.000536 s: rand_g.uliftable.equations._eqn_1 0.001079 s: normed_group_hom.zero_apply 0.000923 s: pi.ordered_cancel_add_comm_monoid._proof_6 0.000063 s: io.handle.equations._eqn_1 0.028055 s: adjunction.adjoint_of_op_adjoint_op._proof_1 0.036304 s: adjunction.adjoint_of_op_adjoint_op._proof_2 0.007587 s: adjunction.adjoint_of_op_adjoint_op 0.008858 s: adjunction.adjoint_unop_of_adjoint_op 0.000202 s: set.Ico.order_bot._proof_1 0.000248 s: set.Ico.order_bot._proof_2 0.000248 s: set.Ico.order_bot._proof_3 0.000806 s: set.Ico.order_bot._proof_4 0.000428 s: set.Ico.order_bot._proof_5 0.000659 s: set.Ico.order_bot._proof_6 0.002788 s: set.Ico.order_bot 0.000336 s: set.Ico.semilattice_inf_bot._proof_2 0.000404 s: set.Ico.semilattice_inf_bot._proof_4 0.000571 s: set.Ico.semilattice_inf_bot._proof_5 0.000398 s: set.Ico.semilattice_inf_bot._proof_6 0.004152 s: set.Ico.semilattice_inf_bot 0.003233 s: set.Ico.semilattice_inf_bot.equations._eqn_1 0.007860 s: category_theory.limits.prod_comparison_nat_trans_app 0.000275 s: filter.Limsup.equations._eqn_1 0.001671 s: cInf_upper_bounds_eq_cSup 0.001232 s: filter.Limsup_principal 0.005524 s: filter.Liminf_principal 0.000726 s: star_ordered_ring.cases_on 0.006758 s: submodule.induction_on_rank_aux.equations._eqn_1 0.000224 s: set.mem_Ico_of_Ioo 0.000129 s: set.mem_Ioc_of_Ioo 0.001231 s: real.arcsin_eq_iff_eq_sin 0.000940 s: category_theory.limits.image_factorisation.mk.inj 0.000101 s: zmod.units_equiv_coprime._proof_1 0.000446 s: int.exists_mul_self 0.001436 s: list.kunion_nil 0.000560 s: pi.has_variable_names._proof_1 0.000116 s: pi.has_variable_names 0.014682 s: units.map_comp 0.000088 s: int.lxor.equations._eqn_2 0.002288 s: category_theory.comonad.coalgebra.hom.h' 0.024210 s: bilin_form.congr_comp 0.006223 s: list.is_prefix.trans 0.004819 s: ring_equiv.of_left_inverse._match_1.equations._eqn_1 0.000853 s: has_continuous_smul.has_measurable_smul₂ 0.000123 s: omega.nat.sub_fresh_index.equations._eqn_1 0.000421 s: category_theory.limits.colimit_cocone.rec_on 0.035589 s: is_compact.is_lub_Sup 0.006653 s: is_compact.exists_is_lub 0.002562 s: continuous_linear_equiv.of_bijective._proof_1 0.006381 s: continuous_linear_equiv.of_bijective 0.006627 s: continuous_linear_equiv.of_bijective_symm_apply_apply 0.000042 s: turing.inhabited_tm2_outputs._proof_1 0.005782 s: submodule.mul_subset_mul 0.002718 s: with_zero.monoid_with_zero.equations._eqn_1 0.000018 s: tactic_doc_entry.description._default 0.000025 s: tactic_doc_entry.description._default.equations._eqn_1 0.003035 s: _private.1704610749.g._main.equations._eqn_1 0.001380 s: _private.1704610749.g.equations._eqn_1 0.000957 s: equiv.perm.sign.equations._eqn_1 0.000637 s: category_theory.sieve.inter.equations._eqn_1 0.014649 s: multiset.rel_add_left 0.003125 s: alg_equiv.aut_congr_apply 0.002134 s: add_submonoid.localization_map.mk'_eq_iff_eq_add 0.007191 s: add_submonoid.localization_map.mk'_eq_iff_eq 0.001797 s: add_submonoid.localization_map.eq 0.001820 s: add_submonoid.localization_map.eq' 0.000862 s: add_submonoid.localization_map.mk'_eq_iff_mk'_eq 0.029075 s: localization.alg_equiv_of_quotient.equations._eqn_1 0.000157 s: list.decidable_suffix._main._proof_3 0.000110 s: list.decidable_suffix._main._proof_4 0.006428 s: list.decidable_suffix._main.equations._eqn_3 0.000664 s: list.decidable_suffix.equations._eqn_3 0.000296 s: category_theory.preserves_limit_of_shape_of_creates_limits_of_shape_and_has_limits_of_shape._proof_1 0.000528 s: category_theory.preserves_limit_of_shape_of_creates_limits_of_shape_and_has_limits_of_shape 0.002512 s: category_theory.preserves_limit_of_shape_of_creates_limits_of_shape_and_has_limits_of_shape.equations._eqn_1 0.000090 s: omega.int.preterm.cst.sizeof_spec 0.000181 s: with_bot.densely_ordered 0.000342 s: with_bot.densely_ordered.equations._eqn_1 0.002071 s: category_theory.lift_limit.equations._eqn_1 0.001105 s: open_add_subgroup.neg_mem 0.002244 s: category_theory.limits.biproduct.map_iso_hom 0.001239 s: AddCommMon.add_comm_monoid_obj.equations._eqn_1 0.002002 s: with_top.has_le.le.is_total._match_1.equations._eqn_3 0.000657 s: multiset.pure_def 0.000387 s: order.ideal.order_bot._proof_4 0.000562 s: filter.germ.bounded_lattice._proof_12 0.055239 s: polynomial.gal.restrict.equations._eqn_1 0.007404 s: array.take_right._proof_1 0.000143 s: array.drop._proof_1 0.000555 s: array.drop 0.000167 s: array.take_right 0.000198 s: buffer.take_right 0.001665 s: array.take._proof_1 0.000102 s: array.take 0.000107 s: buffer.take 0.000131 s: buffer.drop 0.000055 s: string.to_char_buffer 0.001710 s: parser.mk_error_msg 0.000536 s: parser.mk_error_msg.equations._eqn_1 0.003614 s: category_theory.iso.to_alg_equiv_symm_apply 0.000411 s: lists.is_list_to_list 0.000184 s: category_theory.pairwise.id.equations._eqn_2 0.005220 s: finsupp.mem_support_multiset_sum 0.001911 s: finsupp.mem_support_finset_sum 0.000704 s: sub_mul_action.has_scalar.equations._eqn_1 0.005731 s: enat.canonically_ordered_add_monoid._match_1.equations._eqn_1 0.000155 s: _private.3409934427.good._sunfold 0.009254 s: semidirect_product.right_hom_comp_map 0.002543 s: category_theory.limits.bicone.to_binary_bicone_inr 0.000853 s: set.image_neg_Ici 0.000371 s: differentiable_within_at_id 0.105917 s: real.differentiable_within_at_arcsin_Iic 0.081639 s: real.differentiable_at_arcsin 0.111381 s: real.deriv_arcsin 0.017959 s: set.pi_univ_Ioc_subset 0.004270 s: category_theory.monoidal_category.right_unitor_naturality' 0.000119 s: list.intersperse._sunfold 0.000295 s: prod.has_sub.equations._eqn_1 0.000522 s: set.fintype_empty.equations._eqn_1 0.000298 s: relation.refl_gen.drec 0.002490 s: encodable.sigma._match_1.equations._eqn_1 0.001856 s: add_monoid_algebra.of_apply 0.000879 s: star_ring_equiv_apply 0.000275 s: commute.inv_left 0.001165 s: rel_iso.refl_apply 0.015813 s: dist_bdd_within_interval 0.002316 s: times_cont_mdiff_map.has_sizeof_inst 0.000111 s: game.has_one 0.000479 s: times_cont_diff_bump_of_inner.no_confusion 0.000276 s: times_cont_diff_bump_of_inner.mk.inj 0.001520 s: times_cont_diff_bump_of_inner.mk.inj_eq 0.003698 s: fpow_odd_nonpos 0.001337 s: comap_coe_Ioo_nhds_within_Ioi 0.000221 s: algebraic_geometry.SheafedSpace.inhabited._proof_1 0.000093 s: algebraic_geometry.SheafedSpace.inhabited._proof_2 0.000112 s: algebraic_geometry.SheafedSpace.punit._proof_2 0.000268 s: algebraic_geometry.PresheafedSpace.const._proof_1 0.001078 s: algebraic_geometry.PresheafedSpace.const._proof_2 0.000916 s: algebraic_geometry.PresheafedSpace.const 0.000388 s: algebraic_geometry.SheafedSpace.punit 0.000195 s: algebraic_geometry.SheafedSpace.inhabited 0.000170 s: algebraic_geometry.SheafedSpace.inhabited.equations._eqn_1 0.001148 s: category_theory.iso.conj_comp 0.000396 s: isometric.ediam_image 0.000210 s: onote.decidable_NF._match_1.equations._eqn_1 0.002990 s: category_theory.is_iso_of_regular_epi_of_mono 0.000273 s: mul_equiv.to_additive._proof_5 0.000082 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter 0.136258 s: euclidean_geometry.eq_orthogonal_projection_of_eq_subspace 0.016400 s: affine.simplex.face_points 0.285381 s: affine.simplex.orthogonal_projection_circumcenter 0.331675 s: affine.simplex.circumcenter_eq_centroid 0.000847 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter._main.equations._eqn_1 0.000357 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter.equations._eqn_1 0.000198 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter._main.equations._eqn_2 0.000103 s: affine.simplex.reflection_circumcenter_weights_with_circumcenter.equations._eqn_2 0.028969 s: apply_dite2 0.000337 s: apply_ite2 0.640552 s: affine.simplex.reflection_circumcenter_eq_affine_combination_of_points_with_circumcenter 0.000801 s: bitraversable.mk.inj 0.000448 s: bitraversable.mk.inj_arrow 0.000069 s: list.decidable_sublist._main._proof_1 0.028232 s: linear_pmap.comp.equations._eqn_1 0.000420 s: algebraic_geometry.SheafedSpace.coe_carrier.equations._eqn_1 0.000331 s: omega.nat.is_nnf._main.equations._eqn_7 0.000718 s: fin2.insert_perm._main.equations._eqn_1 0.013100 s: add_aut.group.equations._eqn_1 0.000458 s: measure_theory.simple_func.fin_meas_supp.integrable 0.003674 s: add_subgroup.mem_prod 0.006503 s: add_subgroup.top_prod 0.001943 s: add_subgroup.top_prod_top 0.000683 s: category_theory.inclusion 0.010112 s: category_theory.inclusion_comp_decomposed_to 0.007695 s: category_theory.functor.to_ess_image_comp_essential_image_inclusion._proof_1 0.001999 s: category_theory.functor.to_ess_image_comp_essential_image_inclusion 0.095016 s: interval_integral.smul_integral_comp_mul_sub 0.184992 s: interval_integral.mul_integral_comp_mul_sub 0.000427 s: convex_cone.ext'_iff 0.024164 s: sym2.is_diag_iff_proj_eq 0.005821 s: sym2.from_rel_irreflexive 0.002627 s: bundle_trivialization.comap._proof_1 0.001953 s: bundle_trivialization.comap._proof_2 0.001272 s: bundle_trivialization.comap._proof_3 0.004746 s: bundle_trivialization.comap._proof_4 0.021260 s: bundle_trivialization.comap._proof_5 0.008842 s: bundle_trivialization.comap._proof_6 0.001921 s: bundle_trivialization.comap._proof_7 0.000567 s: bundle_trivialization.comap._proof_8 0.078909 s: bundle_trivialization.comap._proof_10 0.000644 s: bundle_trivialization.comap._proof_11 0.170041 s: bundle_trivialization.comap._proof_12 0.189159 s: bundle_trivialization.comap._proof_13 0.212751 s: bundle_trivialization.comap._proof_14 0.468193 s: bundle_trivialization.comap 0.000182 s: mwhen.equations._eqn_1 0.040171 s: pi.smul_comm_class' 0.001476 s: pi.smul_comm_class'.equations._eqn_1 0.000516 s: uniform_space.sep_quot_equiv_ring_quot._proof_1 0.001005 s: add_aut.inv_apply_self 0.002215 s: set.ord_connected_of_Ioo 0.000325 s: linarith.comp_source.add.inj 0.000222 s: linarith.comp_source.add.inj_eq 0.000690 s: set.add_mem_Ico_iff_right 0.002809 s: smooth_monoid_morphism.mk.inj_arrow 0.000072 s: string.front.equations._eqn_1 0.000912 s: turing.to_partrec.cont.eval._main.equations._eqn_1 0.000074 s: turing.to_partrec.cont.eval.equations._eqn_1 0.000389 s: turing.to_partrec.cont.eval._main.equations._eqn_2 0.000169 s: turing.to_partrec.cont.eval.equations._eqn_2 0.000402 s: turing.to_partrec.cont.eval._main.equations._eqn_3 0.000124 s: turing.to_partrec.cont.eval.equations._eqn_3 0.000378 s: turing.to_partrec.cont.eval._main.equations._eqn_4 0.000119 s: turing.to_partrec.cont.eval.equations._eqn_4 0.000223 s: turing.to_partrec.cont.eval.equations._eqn_5 0.003803 s: turing.to_partrec.cont.then_eval 0.000659 s: category_theory.simplicial_object.truncated.category_theory.limits.has_limits 0.000053 s: equiv.perm.equations._eqn_1 0.000074 s: has_sizeof.cases_on 0.000060 s: has_sizeof.no_confusion_type 0.000226 s: has_sizeof.no_confusion 0.000192 s: has_sizeof.mk.inj 0.000066 s: has_sizeof.mk.inj_arrow 0.000130 s: int.fmod._main 0.000171 s: int.fmod._main.equations._eqn_2 0.011416 s: circle_deg1_lift.map_fract_sub_fract_eq 0.003719 s: direct_sum.ext_iff 0.013893 s: category_theory.pi.cone_of_cone_comp_eval._proof_1 0.006580 s: category_theory.pi.cone_of_cone_comp_eval 0.013089 s: category_theory.pi.cone_of_cone_eval_is_limit._proof_1 0.000819 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj_2 0.003159 s: qpf.Wequiv.dcases_on 0.000104 s: pempty.discrete_topology.equations._eqn_1 0.002527 s: linear_map.general_linear_group.general_linear_equiv._proof_1 0.010258 s: linear_map.general_linear_group.general_linear_equiv._proof_3 0.001988 s: linear_map.general_linear_group.general_linear_equiv 0.438685 s: subspace.dual_lift.equations._eqn_1 0.000052 s: computability.encoding.has_sizeof_inst 0.000184 s: computability.fin_encoding.sizeof 0.000022 s: computability.fin_encoding.has_sizeof_inst 0.001043 s: slim_check.retry._match_1.equations._eqn_1 0.077497 s: has_fderiv_at.smul_const 0.021483 s: differentiable_at.smul_const 0.003359 s: differentiable.smul_const 0.006760 s: coe_div_circle 0.000300 s: linarith.linexp.get._sunfold 0.001412 s: order_closed_topology.to_t2_space._match_1.equations._eqn_1 0.000845 s: equiv.computable.symm 0.000614 s: primrec.subtype_mk 0.002105 s: primrec.ulower_down 0.001677 s: primrec.option_get 0.002221 s: primrec.decode2 0.001803 s: primrec.ulower_up 0.001155 s: ulower.down_computable 0.000467 s: many_one_equiv_up 0.000665 s: array.mmap_core._main.equations._eqn_1 0.000249 s: free_add_magma.add.inj_eq 0.020273 s: category_theory.adjunction.cones_iso_component_hom._proof_1 0.010024 s: category_theory.adjunction.cones_iso_component_hom 0.009873 s: category_theory.adjunction.cones_iso_component_hom_app 0.001583 s: path.of_line.equations._eqn_1 0.000687 s: writer_t.equiv._match_2.equations._eqn_1 0.002454 s: category_theory.nat_trans.sum 0.002040 s: category_theory.nat_trans.sum.equations._eqn_1 0.009790 s: category_theory.kleisli.adjunction.adj._proof_1 0.003849 s: category_theory.kleisli.adjunction.adj._proof_2 0.003369 s: category_theory.kleisli.adjunction.adj 0.000700 s: intermediate_field.fg.equations._eqn_1 0.000447 s: nat.decidable_eq._sunfold 0.000040 s: left_add 0.008183 s: category_theory.monoidal.right_unitor_inv_app 0.004554 s: power_basis.equiv.equations._eqn_1 0.022710 s: power_series.C_eq_algebra_map 0.000381 s: refl_bilin_form.is_refl 0.006840 s: order.ideal.inf._match_3.equations._eqn_1 0.000362 s: quiver.zigzag_setoid._match_1.equations._eqn_1 0.001446 s: category_theory.limits.types.is_limit_equiv_sections.equations._eqn_1 0.005974 s: CommMon_.equiv_lax_braided_functor_punit.equations._eqn_1 0.013179 s: category_theory.action_category.cases._proof_1 0.003294 s: category_theory.action_category.cases 0.003858 s: category_theory.action_category.comp_val 0.002776 s: category_theory.action_category.hom_of_pair.val 0.001446 s: mul_aut_arrow_apply_apply 0.021330 s: category_theory.action_category.uncurry._proof_2 0.009432 s: category_theory.action_category.uncurry 0.003411 s: category_theory.action_category.uncurry_obj 0.005336 s: surj_on_Ioi_of_monotone_surjective 0.002311 s: surj_on_Ici_of_monotone_surjective 0.013983 s: surj_on_Iic_of_monotone_surjective 0.009318 s: category_theory.category_of_elements.map_map_coe 0.000023 s: vm_decl_kind.builtin.inj 0.001686 s: category_theory.limits.pair_comp 0.001719 s: category_theory.limits.pair_comp.equations._eqn_1 0.004137 s: matrix.block_diagonal_neg 0.000180 s: pos_num.min_fac_aux._sunfold 0.043360 s: monoid_hom.flip_hom.equations._eqn_1 0.009648 s: finset.inter_distrib_left 0.000244 s: int.units_pow_two 0.034024 s: complex.differentiable_cosh 0.034287 s: complex.continuous_cosh 0.000134 s: complex.measurable_cosh 0.000252 s: measurable.ccosh 0.006028 s: quotient_add_group.lift_mk' 0.002979 s: quotient_add_group.ker_lift_mk' 5.467336 s: SemiRing.forget₂_AddCommMon_preserves_limits_aux 0.013163 s: sup_supr 0.000456 s: filter.tendsto.uniformity_symm 0.000381 s: nzsnum.tail._main.equations._eqn_2 0.000922 s: slim_check.test_result.failure.sizeof_spec 0.120722 s: smooth_bump_function.to_fun.equations._eqn_1 0.100692 s: convex.lipschitz_on_with_of_norm_has_fderiv_within_le 0.102039 s: convex.lipschitz_on_with_of_norm_fderiv_within_le 0.014144 s: category_theory.is_iso_whisker_left 0.031951 s: category_theory.μ_iso_of_reflective 0.135359 s: lagrange.fun_equiv_degree_lt.equations._eqn_1 0.056338 s: submodule.mem_smul_span_singleton 0.009848 s: comm_group.mk.inj 0.000200 s: finset.has_union.union.is_idempotent 0.001165 s: canonically_linear_ordered_monoid.decidable_eq._default 0.001331 s: canonically_linear_ordered_monoid.decidable_eq._default.equations._eqn_1 0.000186 s: homeomorph.mul_left'._proof_3 0.002428 s: with_top.has_le.le.is_total._match_1.equations._eqn_2 0.000693 s: equiv_functor.sizeof 0.001124 s: equiv_functor.mk.sizeof_spec 0.000342 s: matrix.has_neg.equations._eqn_1 0.000922 s: category_theory.equalizer.sieve.first_map._proof_1 0.002129 s: regular_space.t2_space._match_2.equations._eqn_1 0.000127 s: rat.sizeof 0.001366 s: rat.mk'.sizeof_spec 0.001700 s: hahn_series.C_one 0.000444 s: subgroup.no_confusion_type 0.000730 s: subgroup.no_confusion 0.000630 s: subgroup.mk.inj 0.001733 s: subgroup.mk.inj_eq 0.000030 s: string.iterator.inhabited 0.003367 s: mv_polynomial.comap_equiv._proof_1 0.003597 s: mv_polynomial.comap_equiv._proof_2 0.002275 s: mv_polynomial.comap_equiv 0.002126 s: mv_polynomial.comap_equiv.equations._eqn_1 0.031922 s: differentiable_within_at.prod 0.004629 s: differentiable_on.prod 0.000129 s: nzsnum.tail._sunfold 0.002782 s: set.infinite.exists_ne_map_eq_of_maps_to 0.003384 s: set.infinite.exists_lt_map_eq_of_maps_to 0.001870 s: homeomorph.to_measurable_equiv_symm_coe 0.000141 s: int.fdiv._main.equations._eqn_1 0.001108 s: complete_lattice.is_Sup_finite_compact_iff_is_sup_closed_compact 0.000905 s: category_theory.thin_skeleton.from_thin_skeleton_obj 0.000178 s: heq.drec_on 0.000122 s: category_theory.limits.has_finite_products.cases_on 0.000175 s: slim_check.test_result.gave_up.inj 0.000077 s: slim_check.test_result.gave_up.inj_arrow 0.002482 s: algebraic_closure.coe_to_step_of_le 0.000056 s: polynomial.has_repr._proof_1 0.013327 s: category_theory.limits.is_colimit.nat_iso._proof_1 0.003794 s: category_theory.limits.is_colimit.nat_iso 0.000624 s: category_theory.limits.cocone.no_confusion_type 0.000958 s: category_theory.limits.cocone.no_confusion 0.002195 s: category_theory.limits.cocone.mk.inj 0.000997 s: category_theory.limits.cocone.mk.inj_arrow 0.006366 s: category_theory.limits.is_colimit.of_nat_iso.cocone_of_hom_of_cocone 0.005751 s: category_theory.limits.is_colimit.of_nat_iso.hom_of_cocone_of_hom 0.002482 s: category_theory.limits.is_colimit.of_nat_iso.cocone_fac 0.010399 s: category_theory.limits.is_colimit.of_nat_iso._proof_1 0.013844 s: category_theory.limits.is_colimit.of_nat_iso._proof_2 0.003199 s: category_theory.limits.is_colimit.of_nat_iso 0.001078 s: category_theory.limits.has_colimit.of_cocones_iso 0.009091 s: category_theory.functor.op_inv._proof_2 0.010173 s: category_theory.functor.op_inv._proof_3 0.010141 s: category_theory.functor.op_inv 0.014630 s: linear_map.rtensor_id 0.002907 s: set.semigroup.equations._eqn_1 0.000091 s: std_gen.sizeof 0.000077 s: std_gen.mk.sizeof_spec 0.000172 s: omega.nat.neg_elim_core._sunfold 0.001126 s: equiv.perm.swap_factors_aux._main._proof_2 0.000149 s: additive.has_coe_to_fun 0.000200 s: additive.has_coe_to_fun.equations._eqn_1 0.005675 s: category_theory.limits.split_epi_pi_π._proof_1 0.000778 s: set.sub_mem_Ioo_iff_left 0.002900 s: quaternion.neg_im_i 0.001316 s: direct_sum.ghas_mul.mk.inj 0.002619 s: category_theory.subobject.le_mk_of_comm 0.001889 s: category_theory.limits.le_kernel_subobject 0.000067 s: multiset.has_repr._proof_1 0.000040 s: multiset.has_repr._proof_2 0.001401 s: multiset.has_repr 0.000060 s: prime_multiset.has_repr 0.072419 s: is_R_or_C.of_real_clm_apply 0.010674 s: measurable_space.dynkin_system.generate_has.cases_on 0.009918 s: diffeomorph.trans_refl 0.002468 s: parser.step.map 0.001033 s: parser.step.digit 0.000042 s: tactic.interactive.mono_selection.both.inj_eq 0.000843 s: directed_system.drec 0.000646 s: set.Iic.semilattice_sup_bot._proof_3 0.001321 s: finset.fiber_nonempty_iff_mem_image 0.035275 s: tensor_algebra.ring.equations._eqn_1 0.083801 s: measure_theory.L1.integral_eq 0.013436 s: category_theory.preadditive.mono_of_kernel_zero 0.003489 s: category_theory.abelian.mono_of_kernel_ι_eq_zero 0.007253 s: category_theory.kernel_ι_eq_zero_of_exact_zero_left 0.002419 s: category_theory.abelian.tfae_mono 0.001850 s: category_theory.abelian.mono_iff_exact_zero_left 0.000291 s: functor.of_mem_supp 0.000602 s: category_theory.comonad.coalgebra.hom.id.equations._eqn_1 0.000760 s: slim_check.injective_function.no_confusion 0.000570 s: slim_check.injective_function.map_to_self.inj 0.000550 s: category_theory.subterminal_inclusion.equations._eqn_1 0.001686 s: category_theory.with_initial.lift_obj 0.000685 s: mul_hom.mk_coe 0.000316 s: sigma_compact_space.dcases_on 0.003960 s: _private.2667486687.g._main.equations._eqn_1 0.002253 s: _private.2667486687.g.equations._eqn_1 0.000096 s: zmod.val_min_abs._main.equations._eqn_1 0.047205 s: Module.Mon_Module_equivalence_Algebra_forget._proof_6 0.010919 s: algebraic_geometry.structure_presheaf_in_CommRing_map_apply 0.001396 s: free_add_magma.traverse_pure 0.000651 s: local_ring.dcases_on 0.000630 s: turing.TM1to1.read_aux._main.equations._eqn_1 0.001638 s: add_comm_monoid.cases_on 0.000726 s: add_comm_monoid.no_confusion_type 0.000941 s: add_comm_monoid.no_confusion 0.001627 s: add_comm_monoid.mk.inj 0.001863 s: preorder_hom.order_top.equations._eqn_1 0.003394 s: filter.realizer.inf._match_9.equations._eqn_1 0.000031 s: congr_arg_kind.fixed.inj 0.000038 s: congr_arg_kind.fixed.inj_arrow 0.000126 s: decidable_of_bool._main._proof_2 0.000133 s: decidable_of_bool._main.equations._eqn_2 0.000075 s: decidable_of_bool.equations._eqn_2 0.000755 s: tactic.norm_fin.normalize_fin.mul 0.000313 s: small_sum.equations._eqn_1 0.052481 s: tensor_algebra.to_clifford 0.000708 s: subgroup.copy.equations._eqn_1 0.000129 s: padic_norm.padic_norm_p_of_prime 0.000706 s: int.zero_shiftl 0.015199 s: list.forall₂_length_eq 0.001946 s: add_equiv.to_CommGroup_iso_hom 0.002383 s: Compactum.compact_space.equations._eqn_1 0.006808 s: category_theory.limits.cocone_equivalence_op_cone_op_inverse_map_hom 0.001643 s: list.decidable_suffix._sunfold 0.000601 s: alt_sesq_form.is_alt 0.000457 s: alt_sesq_form.self_eq_zero 0.004136 s: order_dual.semilattice_sup_bot.equations._eqn_1 0.001062 s: finset.max'_le_iff 0.000958 s: is_add_submonoid.inter 0.000433 s: is_add_subgroup.inter 0.000913 s: is_add_subgroup.inter.equations._eqn_1 0.000476 s: list.find_index._main.equations._eqn_2 0.000348 s: nnreal.order_bot.equations._eqn_1 0.002469 s: category_theory.mono_over.exists 0.003225 s: category_theory.mono_over.faithful_exists 0.000455 s: locally_constant.comm_ring._proof_12 0.000190 s: multiplicative.has_coe_to_fun 0.010536 s: continuous_linear_map.restrict_scalars_neg 0.000230 s: group.gpow_eq_has_pow 0.000587 s: category_theory.with_terminal.comp._main.equations._eqn_7 0.007097 s: perfect_closure.char_p.equations._eqn_1 0.003786 s: alternating_map.coe_multilinear_map_injective 0.017228 s: multilinear_map.alternatization_coe 0.002809 s: finset.sum_partition 0.000437 s: quotient_group.left_rel.equations._eqn_1 0.000218 s: mul_left_surjective 0.002038 s: finset.univ_filter_exists 0.006274 s: tensor_product.sum_tmul 0.215088 s: multilinear_map.dom_coprod_alternization_coe 0.030687 s: multilinear_map.dom_dom_congr_mul 0.021209 s: multilinear_map.dom_coprod_dom_dom_congr_sum_congr 0.198965 s: multilinear_map.dom_coprod_alternization 0.008813 s: continuous_algebra_map_iff_smul 0.002555 s: has_continuous_smul_of_algebra_map 0.002737 s: ring_hom.lift_of_surjective 0.003823 s: traversable.foldl_to_list 0.002544 s: category_theory.pre_id 0.002304 s: category_theory.internal_hom._proof_1 0.002212 s: ordinal.is_normal.nfp_le_fp 0.000146 s: ordinal.le_nfp_self 0.004860 s: ordinal.is_normal.nfp_fp 0.000372 s: omega_complete_partial_order.chain.has_mem.equations._eqn_1 0.004045 s: CommMon_Type_equivalence_CommMon._proof_4 0.001278 s: ring_equiv.coe_prod_comm 0.391796 s: order_topology_of_ord_connected.equations._eqn_1 0.005274 s: list.sublists_aux₁_concat 0.000130 s: zorn.chain.equations._eqn_1 0.000216 s: tactic.ring2.csring_expr.add.sizeof_spec 0.000170 s: multiset.distrib_lattice._proof_1 0.000160 s: multiset.distrib_lattice._proof_2 0.002393 s: multiset.distrib_lattice._proof_3 0.000326 s: multiset.distrib_lattice._proof_4 0.000445 s: multiset.distrib_lattice._proof_6 0.000278 s: multiset.distrib_lattice._proof_8 0.000339 s: multiset.distrib_lattice._proof_9 0.000465 s: multiset.distrib_lattice._proof_10 0.007661 s: multiset.inter_comm 0.004083 s: multiset.sub_add_inter 0.005030 s: nat.sub_add_min 0.001103 s: multiset.count_inter 0.004027 s: max_min_distrib_left 0.009356 s: multiset.distrib_lattice._proof_11 0.008502 s: multiset.distrib_lattice 0.005215 s: multiset.distrib_lattice.equations._eqn_1 0.000018 s: tactic.apply_cfg.approx._default 0.000386 s: _private.2442953897.key_data_to_string.equations._eqn_1 0.000972 s: topological_space.open_nhds.inclusion_obj 0.000082 s: has_compl.sizeof 0.000037 s: has_compl.has_sizeof_inst 0.000235 s: wseq.destruct_join.aux._sunfold 0.000106 s: typevec.curry 0.000099 s: typevec.curry.inhabited 0.000158 s: typevec.curry.inhabited.equations._eqn_1 0.042752 s: linear_map.prod_equiv.equations._eqn_1 0.125713 s: affine_map.proj_linear 0.007091 s: continuous_map.dist_lt_iff 0.000285 s: triv_sq_zero_ext.inr_injective 0.000672 s: has_measurable_smul₂.drec 0.001110 s: mul_equiv.to_equiv_symm 0.007156 s: category_theory.mono_over.map_iso_unit_iso 0.000411 s: lt_cSup_of_lt 0.023351 s: le_of_forall_pos_lt_add 0.023397 s: algebraic_geometry.SheafedSpace.Γ_map 0.000406 s: nat.eq_of_le_of_lt_succ 0.015609 s: fin.snoc_eq_cons_rotate 0.002741 s: linear_independent_fin_snoc 0.000200 s: order_dual.semilattice_sup_top._proof_1 0.168957 s: perfect_closure.perfect_ring._match_3.equations._eqn_1 0.000191 s: zorn.chain.mono 0.000217 s: hash_map.mk_idx.equations._eqn_1 0.000124 s: list.is_suffix.equations._eqn_1 0.020717 s: category_theory.comma.fst_obj 0.000223 s: locally_constant.comm_ring._proof_3 0.003579 s: category_theory.limits.biprod.lift_desc_assoc 0.021052 s: linear_ordered_ring.cases_on 0.011924 s: linear_ordered_ring.no_confusion_type 0.008171 s: linear_ordered_ring.no_confusion 0.021143 s: linear_ordered_ring.mk.inj 0.000591 s: quiver.total.mk.inj 0.006176 s: quiver.total.mk.inj_eq 0.007824 s: implicit_function_data.mk.sizeof_spec 0.000312 s: category_theory.functor.ess_image.equations._eqn_1 0.002446 s: uniform_space.completion.uniform_add_group.equations._eqn_1 0.000293 s: model_with_corners.has_sizeof_inst 0.004194 s: category_theory.monad.algebra.hom.rec_on 0.000057 s: subfield.has_sizeof_inst 0.001393 s: is_R_or_C.int_cast_re 0.001508 s: ring_hom.to_algebra.equations._eqn_1 0.000513 s: slim_check.sampleable_functor.no_confusion_type 0.005408 s: category_theory.limits.equalizer_subobject_factors 0.000336 s: has_measurable_sub.drec 0.001163 s: matrix.minor_zero 0.000102 s: io.net.accept 0.008327 s: filter.realizer.cofinite._match_1 0.006648 s: filter.realizer.cofinite._match_1.equations._eqn_1 0.001192 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.work_0.inj_eq 0.010902 s: polynomial.nat_trailing_degree_le_trailing_degree 0.000263 s: is_mul_hom.id 0.000382 s: is_monoid_hom.id 0.002225 s: prod.preorder._match_4.equations._eqn_1 0.001850 s: slim_check.injective_function.slice_sizes._main._pack.equations._eqn_1 0.000290 s: slim_check.injective_function.slice_sizes._main.equations._eqn_1 0.021451 s: min_div_div_right 0.001826 s: category_theory.limits.image.pre_comp_mono 0.065473 s: mv_polynomial.point_to_point._proof_1 0.015157 s: uniform_space.completion.extension_hom._proof_1 0.006344 s: uniform_space.completion.extension_hom._proof_2 0.004870 s: uniform_space.completion.extension_hom._proof_3 0.012828 s: uniform_space.completion.extension_hom._proof_4 0.001858 s: uniform_space.completion.extension_hom._proof_5 0.002783 s: uniform_space.completion.extension_hom 0.000150 s: uniform_space.completion.map_ring_hom._proof_1 0.024775 s: uniform_space.completion.top_ring_compl 0.000217 s: uniform_space.completion.coe_ring_hom._proof_1 0.000284 s: uniform_space.completion.coe_ring_hom._proof_3 0.014146 s: uniform_space.completion.coe_ring_hom 0.001841 s: uniform_space.completion.map_ring_hom._proof_2 0.023742 s: uniform_space.completion.map_ring_hom 0.002133 s: set.subset_compl_singleton_iff 0.206452 s: integral_inv 0.153107 s: integral_one_div 0.022847 s: parser.seq_eq_fail 0.005132 s: parser.seq_right_eq_fail 0.000197 s: category_theory.projective.over.equations._eqn_1 0.000284 s: category_theory.pairwise.single.inj 0.000173 s: category_theory.pairwise.single.inj_eq 0.000243 s: add_con.le_def 0.001160 s: mul_lt_one_of_nonneg_of_lt_one_left 0.000419 s: ae_measurable.add_const 0.000825 s: set.finite.vadd 0.324455 s: category_theory.grothendieck.grothendieck_Type_to_Cat._proof_7 0.005030 s: nat.succ_mul_pos 0.000063 s: _private.1775200895.succ_mul_pos_fact 0.000060 s: quaternion_group.fintype._proof_1 0.000521 s: quaternion_group.fintype 0.006731 s: quaternion_group.a_one_pow_n 0.012415 s: quaternion_group.order_of_a_one 0.007255 s: quaternion_group.order_of_a 0.000080 s: classical.exists_true_of_nonempty 0.000131 s: slim_check.sampleable.shrink._default 0.000192 s: slim_check.sampleable.shrink._default.equations._eqn_1 0.004954 s: lie_ideal.derived_series_map_eq 0.016040 s: function.surjective.lie_algebra_is_solvable 0.005772 s: finset.prod_Ico_eq_prod_range 0.000605 s: ulift.mul_one_class._proof_1 0.000483 s: ulift.mul_one_class._proof_2 0.000151 s: ulift.mul_one_class 0.000345 s: tactic.ring2.horner_expr.add._main.equations._eqn_1 0.000096 s: tactic.ring2.horner_expr.add.equations._eqn_1 0.001005 s: string.linear_order.equations._eqn_1 0.000127 s: nnreal.can_lift.equations._eqn_1 0.002150 s: nat.add_pos_left 0.000406 s: setoid.has_inf.equations._eqn_1 0.033636 s: pow_two_add_pow_two_mul_pow_two_add_pow_two 0.006501 s: category_theory.lifts_to_colimit.mk.sizeof_spec 0.000186 s: turing.partrec_to_TM2.cont'.cons₂.inj_eq 0.006665 s: category_theory.braided_functor.mk_iso_inv 0.005413 s: le_mem_nhds 0.000531 s: parser.mono.sep_by1 0.000407 s: parser.mono.sep_by1.equations._eqn_1 0.026916 s: Module.normal_epi.equations._eqn_1 0.000773 s: witt_vector.has_add.equations._eqn_1 0.006017 s: homeomorph.homeomorph_mk_coe_symm 0.000180 s: irreducible_space.drec 0.000154 s: tree.map._sunfold 0.014571 s: finsupp.multiset_map_sum 0.003752 s: alg_equiv.restrict_normal.equations._eqn_1 0.000186 s: free_monoid.of_injective 0.000440 s: free_ring.of_injective 0.006492 s: prod.lex.is_well_order.equations._eqn_1 0.002443 s: cancel_monoid_with_zero.rec_on 0.001595 s: topological_space.opens.comap_comp 0.000618 s: trunc_of_multiset_exists_mem.equations._eqn_1 0.003286 s: semiquot.semilattice_sup.equations._eqn_1 0.002682 s: typevec.prod.mk._sunfold 0.002897 s: comm_ring.sizeof 0.006940 s: comm_ring.mk.sizeof_spec 0.002685 s: pi.add_cancel_monoid._proof_1 0.000752 s: tangent_cone_congr 0.000405 s: tangent_cone_inter_nhds 0.000086 s: plift.bind._sunfold 0.017315 s: affine_map.comp_assoc 0.005103 s: affine_map.id_comp 0.002314 s: affine_map.comp_id 0.003496 s: affine_map.monoid._proof_1 0.002512 s: affine_map.monoid._proof_2 0.006030 s: affine_map.monoid 0.006892 s: asymptotics.is_O.sum 0.000097 s: pos_num.one_bits._sunfold 0.001458 s: add_equiv.to_Semigroup_iso_hom 0.009586 s: homological_complex.kernel_map_condition_assoc 0.013932 s: homological_complex.kernel_map_comp 0.019281 s: homological_complex.homology_map_condition_assoc 0.025520 s: homological_complex.homology_map_comp 0.007120 s: homological_complex.homology._proof_2 0.001743 s: homological_complex.homology 0.003860 s: homological_complex.homology_map_2 0.000890 s: category_theory.under.has_limit 0.000326 s: category_theory.under.has_limits_of_shape 0.000245 s: category_theory.under.has_limits 0.000185 s: category_theory.under.has_limits.equations._eqn_1 0.000658 s: lazy_list.interleave._main.equations._eqn_1 0.000108 s: function.has_right_inverse.equations._eqn_1 0.000500 s: is_connected.image 0.000531 s: add_monoid.closure.is_add_submonoid.equations._eqn_1 0.011996 s: bounded_continuous_function.module'._proof_3 0.000333 s: wseq.destruct_append.aux._sunfold 0.000347 s: shelf_hom.rec_on 0.008498 s: lie_module.maximal_trivial_submodule.is_trivial.equations._eqn_1 0.003886 s: linear_nonneg_ring.to_nonneg_ring._match_2.equations._eqn_1 0.000389 s: list.partition_map._match_1.equations._eqn_2 0.000617 s: order_dual.cmp_le_flip 0.035213 s: measure_theory.measure.haar_measure_pos_of_is_open 0.017743 s: tensor_product.lift_aux._match_1.equations._eqn_6 0.000063 s: int.of_nat_one 0.000157 s: category_theory.with_terminal.inhabited 0.000219 s: side.to_string._main.equations._eqn_2 0.004823 s: algebraic_geometry.PresheafedSpace.Γ_obj_op 0.006660 s: category_theory.limits.diagram_of_cones.mk_of_has_limits_map_hom 0.003491 s: continuous_linear_equiv.preimage_closure 0.000258 s: metric.closure_ball_subset_closed_ball 0.001022 s: closure_Ico 0.161552 s: closure_ball 0.265101 s: euclidean.closure_ball 0.039545 s: measure_theory.measure.dirac_apply 0.006929 s: measure_theory.ae_dirac_eq 0.005372 s: category_theory.over.hom_mk.equations._eqn_1 0.008888 s: order_dual.ordered_comm_monoid.equations._eqn_1 0.010310 s: galois_coinsertion.u_inf_l 0.000683 s: ordnode.union._main.equations._eqn_3 0.000090 s: decidable.has_repr 0.000055 s: num.min_fac._sunfold 0.000066 s: computability.Γ'.sizeof 0.000034 s: computability.Γ'.ket.sizeof_spec 0.000074 s: slim_check.printable_prop.sizeof 0.001325 s: turing.TM2.step_aux._main.equations._eqn_7 0.000349 s: turing.TM2.step_aux.equations._eqn_7 0.006585 s: le_iff_atom_le_imp 0.002604 s: pfunctor.M.bisim' 0.001825 s: pfunctor.M.bisim_equiv 0.000026 s: vm_obj_kind.native_closure.inj 0.000023 s: vm_obj_kind.native_closure.inj_arrow 0.000140 s: bex_of_exists 0.034422 s: concave_on.smul 0.007012 s: is_lawful_bitraversable.to_is_lawful_bifunctor 0.006717 s: function.bicompl.is_lawful_bitraversable._proof_2 0.002922 s: function.bicompl.is_lawful_bitraversable._proof_3 0.001162 s: traversable.naturality_pf 0.003526 s: function.bicompl.is_lawful_bitraversable._proof_4 0.001471 s: function.bicompl.is_lawful_bitraversable 0.000304 s: equiv.prod_comm.equations._eqn_1 0.003731 s: traversable.foldl_map 0.001215 s: category_theory.limits.comp_preserves_colimits.equations._eqn_1 0.000147 s: multiset.functor.equations._eqn_1 0.004201 s: borel_eq_top_of_discrete 0.000154 s: bool.borel_space 0.000130 s: bool.borel_space.equations._eqn_1 0.003403 s: category_theory.discrete_category.equations._eqn_1 0.000381 s: expr.coord.code._main.equations._eqn_6 0.000415 s: monoid_hom.range_factorization._proof_2 0.000095 s: is_left_cancel.left_cancel 0.001727 s: category_theory.equalizer.fork_map.equations._eqn_1 0.021780 s: induction_on_primes 0.005048 s: set.maps_to.surj_on_compl 0.000898 s: set.bij_on.compl 0.000664 s: list.insertion_sort._main.equations._eqn_1 0.000111 s: list.insertion_sort.equations._eqn_1 0.004110 s: add_subgroup.prod_equiv._proof_2 0.006634 s: add_subgroup.prod_equiv._proof_3 0.013185 s: add_subgroup.prod_equiv 0.002821 s: measure_theory.outer_measure.map_of_function_le 0.014409 s: measure_theory.outer_measure.map_of_function 0.000442 s: set.mul_indicator_apply_le_one 0.016561 s: subgroup_units_cyclic.equations._eqn_1 0.000060 s: pfunctor.approx.cofix_a.continue.inj 0.000066 s: pfunctor.approx.cofix_a.continue.inj_eq 0.000246 s: onote.decidable_NF._main.equations._eqn_1 0.000193 s: monad_functor_t.cases_on 0.000178 s: monad_functor_t.no_confusion_type 0.005800 s: Module.colimits.cocone_naturality_components 0.005012 s: finsupp.lsum_symm_apply 0.000538 s: polynomial.nat_degree_of_subsingleton 0.000267 s: is_closed.dcases_on 0.001871 s: list.last'_is_some 0.000280 s: measure_theory.simple_func.map_coe_nnreal_restrict 0.008523 s: CommMon_.equiv_lax_braided_functor_punit.CommMon_to_lax_braided_obj_to_lax_monoidal_functor_ε 0.000131 s: category_theory.limits.has_finite_wide_pullbacks.out 0.000085 s: category_theory.limits.has_limits_of_shape_wide_pullback_shape 0.000141 s: category_theory.over.construct_products.over_finite_products_of_finite_wide_pullbacks 0.000037 s: ordered_comm_monoid.lt._default 0.000073 s: canonically_ordered_monoid.lt._default 0.000030 s: canonically_linear_ordered_monoid.lt._default 0.000106 s: list.lookmap._sunfold 0.000169 s: ring_equiv.has_coe_to_mul_equiv 0.004853 s: ring_equiv.to_monoid_hom_commutes 0.073565 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso.equations._eqn_1 0.021145 s: omega.nat.preform.holds_constant 0.000022 s: tactic.ext_state.trace_msg._default 0.001134 s: comm_group_of_is_unit._proof_1 0.005445 s: comm_group_of_is_unit._proof_2 0.002139 s: comm_group_of_is_unit 0.000050 s: omega.terms.fresh_index.equations._eqn_1 0.003150 s: ennreal.add_infi 0.001037 s: lazy_list.nth._main.equations._eqn_3 0.000745 s: parser.numeral.char.of_fintype.equations._eqn_1 0.131264 s: interval_integral.integral_mono 0.031493 s: dfinsupp.map_range_def 0.011898 s: dfinsupp.prod_map_range_index 0.000041 s: bitvec.ugt 0.000087 s: bitvec.ugt.equations._eqn_1 0.002059 s: discrete_valuation_ring.drec_on 0.047353 s: polynomial.degree_lt_eq_span_X_pow 0.000966 s: witt_vector.is_lawful_functor 0.006360 s: add_submonoid.prod_equiv._proof_2 0.004652 s: nat.lt_one_add_iff 0.002539 s: real.continuous_arccos 0.002767 s: linear_ordered_comm_monoid_with_zero.sizeof 0.000054 s: linear_ordered_comm_monoid_with_zero.has_sizeof_inst 0.000559 s: complex.range_exp 0.001502 s: normed_group_hom.antilipschitz_of_bound_by 0.001029 s: int.gcd_dvd_gcd_mul_right 0.000101 s: erased.equations._eqn_1 0.000084 s: buffer.has_repr 0.000188 s: buffer.has_repr.equations._eqn_1 0.000313 s: turing.tm2_outputs_in_time.to_tm2_outputs.equations._eqn_1 0.001906 s: is_simple_lattice.complete_boolean_algebra._proof_13 0.000154 s: turing.TM2to1.Λ'.inhabited 0.000249 s: turing.TM2to1.Λ'.inhabited.equations._eqn_1 0.001142 s: ordinal.linear_order.equations._eqn_1 0.000127 s: lucas_lehmer.X.comm_ring._proof_15 0.006839 s: division_ring.cases_on 0.004650 s: division_ring.no_confusion_type 0.004012 s: division_ring.no_confusion 0.013879 s: division_ring.mk.inj 0.018734 s: division_ring.mk.inj_arrow 0.001514 s: seq.append._match_2.equations._eqn_1 0.015788 s: zmod.comm_ring._main.equations._eqn_2 0.002262 s: multiset.powerset_len_cons 0.000236 s: polynomial.has_separable_contraction.contraction.equations._eqn_1 0.001201 s: lazy_list.join._main.equations._eqn_2 0.000135 s: lazy_list.join.equations._eqn_2 0.012841 s: is_bounded_linear_map.zero 0.011109 s: category_theory.functor.map_arrow_map_left 0.086733 s: category_theory.currying_unit_iso_inv_app_app_app 0.017663 s: category_theory.limits.is_limit.of_nat_iso.hom_of_cone.equations._eqn_1 0.000046 s: complete_linear_order.lt._default 0.000150 s: complete_linear_order.lt._default.equations._eqn_1 0.000344 s: is_adic_complete.to_is_precomplete 0.000053 s: cc_config.inhabited 0.000302 s: prod.has_mul.equations._eqn_1 0.000262 s: ordinal.monoid._match_2.equations._eqn_1 0.011939 s: add_monoid_algebra.semiring.equations._eqn_1 0.000311 s: algebra.to_comap._proof_2 0.000239 s: algebra.to_comap._proof_4 0.000728 s: algebra.to_comap._proof_5 0.002977 s: algebra.to_comap 0.001566 s: algebra.to_comap_apply 0.000417 s: normal_subgroup.cases_on 0.000102 s: mvqpf.const.mk 0.000416 s: mvqpf.const.map_mk 0.000327 s: pi.ordered_cancel_add_comm_monoid._proof_8 0.001601 s: is_lawful_monad.rec_on 0.001660 s: category_theory.sieve.top_apply 0.002441 s: category_theory.type_equiv_inverse_obj 0.001371 s: option.map_bind' 0.001467 s: list.Ico.trichotomy 0.000756 s: continuous_on_neg 0.003258 s: normed_group_hom.comp_zero 0.001072 s: path.truncate_of_le._proof_1 0.000075 s: path.truncate_of_le._proof_2 0.000264 s: path.truncate_of_le 0.000520 s: path.truncate_of_le.equations._eqn_1 0.000822 s: set.Iio.semilattice_inf._proof_1 0.000177 s: omega.int.push_neg._main.equations._eqn_3 0.000031 s: omega.int.push_neg.equations._eqn_3 0.002235 s: mdifferentiable_on_iff_differentiable_on 0.000060 s: category_theory.with_terminal.star.inj 0.000060 s: category_theory.with_terminal.star.inj_arrow 0.000344 s: filter.rcomap'_compose 0.000341 s: multiset.choose_mem 0.007957 s: measure_theory.conservative.ae_mem_imp_frequently_image_mem 0.000292 s: category_theory.limits.biproduct.matrix_equiv._proof_4 0.000191 s: finset.filter.equations._eqn_1 0.002429 s: ennreal.coe_mem_upper_bounds 0.001971 s: add_order_of_nsmul'' 0.000930 s: _private.3098854281.cau_seq_to_rat_cau_seq.equations._eqn_1 0.004866 s: category_theory.Mat_.lift.equations._eqn_1 0.089497 s: slim_check.tree.shrink_with._match_1._proof_1 0.133382 s: slim_check.tree.shrink_with._match_1._proof_3 0.020321 s: slim_check.tree.shrink_with._match_1.equations._eqn_2 0.000647 s: polynomial.derivative_lhom._proof_1 0.000506 s: ring_quot.mk.sizeof_spec 0.000189 s: simple_graph.edge_set.equations._eqn_1 0.000098 s: string.is_empty 0.000418 s: string.quote_aux._main 0.000014 s: string.quote_aux 0.000127 s: string.quote 0.000143 s: string.quote.equations._eqn_1 0.000226 s: list.has_dec_eq._match_2._proof_1 0.000313 s: matrix.empty_vec_alt1 0.009086 s: is_scalar_tower.coe_to_alg_hom' 0.000186 s: decidable_eq_of_subsingleton._sunfold 0.000316 s: quaternion_algebra.has_one.equations._eqn_1 0.000482 s: stream.interleave._match_1.equations._eqn_1 0.026250 s: mv_polynomial.coe_to_mv_power_series.ring_hom.equations._eqn_1 0.004291 s: right_cancel_monoid.cases_on 0.000953 s: right_cancel_monoid.no_confusion_type 0.000950 s: right_cancel_monoid.no_confusion 0.001560 s: right_cancel_monoid.mk.inj 0.000045 s: tactic.tfae.arrow.has_sizeof_inst 0.001179 s: power_series.order_one 0.000154 s: euclidean_half_space.equations._eqn_1 0.001236 s: equiv_functor_perm._proof_1 0.001039 s: fintype.of_bijective._match_1.equations._eqn_1 0.000496 s: topological_space.nonempty_compacts.to_nonempty.equations._eqn_1 0.001271 s: has_fderiv_within_at.nhds_within 0.000217 s: rand_bool._match_1.equations._eqn_1 0.002110 s: tactic_doc._1979776510 0.000277 s: AddSemigroup.add_semigroup.equations._eqn_1 0.001285 s: set.union_prod 0.000586 s: prod.semigroup.equations._eqn_1 0.000157 s: bitvec.sshr._main.equations._eqn_1 0.000361 s: set.dual_Ici 0.000101 s: W_type.inhabited 0.000065 s: W_type.inhabited.equations._eqn_1 0.000649 s: is_CHSH_tuple.B₀_sa 0.001291 s: cfilter.mk.sizeof_spec 0.060254 s: subring.no_zero_divisors.equations._eqn_1 0.000321 s: reducibility_hints.regular.inj 0.008945 s: category_theory.action_category.category_theory.is_connected.equations._eqn_1 0.000041 s: order_dual.equations._eqn_1 0.000594 s: rand.random_series 0.000727 s: mul_equiv.is_mul_hom.equations._eqn_1 0.030679 s: category_theory.limits.limit.pre_post 0.000075 s: with_one.inhabited 0.000101 s: with_one.inhabited.equations._eqn_1 0.130498 s: generalized_continued_fraction.zero_le_of_continuants_aux_b 0.000461 s: category_theory.is_right_adjoint.rec_on 0.016610 s: le_supr' 0.000201 s: category_theory.limits.types.colimit_equiv_quot._proof_3 0.000898 s: category_theory.limits.types.colimit_equiv_quot 0.007127 s: category_theory.limits.types.colimit_equiv_quot_symm_apply 0.003174 s: direct_sum.set_to_set 0.018550 s: roots_of_unity.is_cyclic.equations._eqn_1 0.006918 s: is_bounded_bilinear_map.dcases_on 0.000735 s: typevec.drop_append1 0.000177 s: typevec.drop_append1' 0.000630 s: continuous_map.lattice._proof_4 0.000467 s: has_exists_add_of_le.drec_on 0.000382 s: gal_X_pow_is_solvable 0.138689 s: polynomial.is_splitting_field.map 0.030563 s: subgroup.map_eq_bot_iff 0.028862 s: solvable_of_ker_le_range 0.004843 s: alg_equiv.ext_iff 0.147578 s: is_solvable_of_is_scalar_tower 0.030954 s: monoid_hom.ker_eq_bot_iff 0.008095 s: subgroup.map_eq_bot_iff_of_injective 0.009729 s: solvable_of_solvable_injective 0.059650 s: gal_is_solvable_tower 0.011749 s: polynomial.pow_comp 0.018943 s: polynomial.prod_comp 0.300194 s: splits_X_pow_sub_one_of_X_pow_sub_C 0.000596 s: polynomial.gal.unique_gal_C._proof_1 0.000318 s: polynomial.gal.unique_gal_C 0.000280 s: gal_C_is_solvable 0.619316 s: gal_X_pow_sub_C_is_solvable_aux 0.035654 s: gal_X_pow_sub_C_is_solvable 0.000284 s: ordnode.union.equations._eqn_3 0.000255 s: multiset.count_le_count_cons 0.000317 s: bifunctor.id_snd 0.000286 s: bifunctor.snd_id 0.012352 s: bifunctor.comp_snd 0.001720 s: bifunctor.is_lawful_functor 0.000104 s: bitraversable.is_lawful_traversable._proof_1 0.000594 s: bitraversable.id_tsnd 0.000353 s: bitraversable.tsnd_id 0.000924 s: bitraversable.is_lawful_traversable._proof_2 0.003364 s: bitraversable.comp_tsnd 0.001823 s: bitraversable.is_lawful_traversable._proof_3 0.000766 s: bitraversable.is_lawful_traversable 0.000592 s: bitraversable.is_lawful_traversable.equations._eqn_1 0.330838 s: eq_witt_structure_int 0.057316 s: open_subgroup.semilattice_sup_top._proof_10 0.000147 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_1 0.000652 s: tree.index_of._main.equations._eqn_1 0.003691 s: add_le_of_nonpos_left 0.000289 s: le_of_le_add_of_nonpos_right 0.076539 s: mfderiv_zero_of_not_mdifferentiable_at 0.025076 s: principal_seg.subsingleton.equations._eqn_1 0.001633 s: equiv.is_lawful_traversable'._proof_2 0.002384 s: category_theory.limits.prod.left_unitor_inv_naturality 0.001579 s: category_theory.limits.prod.left_unitor_inv_naturality_assoc 0.002218 s: category_theory.exp_terminal_iso_self._proof_7 0.000460 s: wseq.mem_append_left 0.000150 s: bool.decidable_exists_bool._proof_1 0.000067 s: bool.decidable_exists_bool 0.001932 s: is_simple_lattice.complete_boolean_algebra._proof_16 0.002100 s: bilin_form.lin_mul_lin._proof_1 0.003750 s: bilin_form.lin_mul_lin._proof_2 0.002795 s: bilin_form.lin_mul_lin._proof_4 0.001391 s: bilin_form.lin_mul_lin 0.001339 s: bilin_form.lin_mul_lin.equations._eqn_1 0.002966 s: geom_sum₂_zero 0.000655 s: category_theory.functor.limits.has_finite_products.equations._eqn_1 0.033463 s: category_theory.cofinal.zigzag_of_eqv_gen_quot_rel 0.001223 s: category_theory.limits.cospan_one 0.008390 s: map_nhds_within 0.002536 s: parser.static.str_iff 0.000325 s: PartialOrder.concrete_category 0.000213 s: turing.partrec_to_TM2.tr_nat_nat_end 0.000301 s: turing.partrec_to_TM2.tr._main.equations._eqn_5 0.000082 s: turing.partrec_to_TM2.tr.equations._eqn_5 0.000259 s: turing.partrec_to_TM2.tr._main.equations._eqn_2 0.000221 s: turing.partrec_to_TM2.tr.equations._eqn_2 0.015182 s: turing.partrec_to_TM2.clear_ok 0.004290 s: turing.partrec_to_TM2.tr_list_ne_Cons 0.013484 s: turing.partrec_to_TM2.head_main_ok 0.002325 s: add_subgroup.center._proof_1 0.001196 s: add_subgroup.center._proof_2 0.000485 s: add_subgroup.center 0.004976 s: add_subgroup.center_normal 0.003224 s: add_subgroup.center_normal.equations._eqn_1 0.000881 s: alg_hom.finite_type.of_finite_presentation 0.000441 s: pos_num.add._main.equations._eqn_6 0.000044 s: pos_num.add.equations._eqn_6 0.001548 s: pSet.of_nat._main.equations._eqn_2 0.000131 s: pSet.of_nat.equations._eqn_2 0.000708 s: finset.sum_centroid_weights_indicator_eq_one_of_card_ne_zero 0.002435 s: matrix.diagonal_map 0.000807 s: matrix.tail_cons 0.001228 s: matrix.cons_zero_zero 0.001610 s: matrix.cons_eq_zero_iff 0.005621 s: localization_map.away_map.lift_eq 0.018406 s: submodule.comap_subtype_equiv_of_le.equations._eqn_1 0.000642 s: rel_iso.sizeof 0.001468 s: rel_iso.mk.sizeof_spec 0.073784 s: exists_deriv_eq_zero' 0.000352 s: turing.partrec_to_TM2.cont'.cons₁.inj 0.000253 s: turing.partrec_to_TM2.cont'.cons₁.inj_eq 0.000031 s: onote.has_to_string 0.000023 s: onote.has_to_string.equations._eqn_1 0.017139 s: smooth_map_has_scalar._proof_1 0.000049 s: smt_config.em_cfg 0.001680 s: neg_add_eq_zero 0.000257 s: tactic.itauto.prop.or.inj 0.000120 s: tactic.itauto.prop.or.inj_arrow 0.003007 s: add_submonoid.localization_map.of_add_equiv_of_localizations.equations._eqn_1 0.002524 s: set.image_sub_const_Ioi 0.003715 s: complex.exp_local_homeomorph.equations._eqn_1 0.003592 s: category_theory.limits.im_map 0.000137 s: monad.seq._default 0.000273 s: monad.seq._default.equations._eqn_1 0.000105 s: with_top.has_top.equations._eqn_1 0.039438 s: category_theory.equivalence_reflects_normal_epi.equations._eqn_1 0.005770 s: prime_multiset.coe_pnat_prime 0.002296 s: fin_enum.sigma.fin_enum._proof_1 0.000453 s: fin_enum.sigma.fin_enum 0.007597 s: zsqrtd.comm_ring.equations._eqn_1 0.000121 s: filter.rtendsto 0.000296 s: filter.ptendsto_iff_rtendsto 0.000217 s: parser.run._match_1 0.000154 s: parser.run._match_1.equations._eqn_1 0.004566 s: lipschitz_with.comp_Lp.equations._eqn_1 0.001329 s: hash_map.contains_iff 0.000396 s: list.mem_insert_self 0.001470 s: set.piecewise_empty 0.001234 s: measure_theory.simple_func.piecewise_empty 0.000831 s: measure_theory.simple_func.restrict_empty 0.000068 s: rat.mk._sunfold 0.000101 s: has_lift.rec_on 0.001043 s: filter.tendsto_comp_coe_Ioi_at_top 0.000951 s: Mon.monoid_obj.equations._eqn_1 0.020619 s: multilinear_map.curry_sum_equiv.equations._eqn_1 0.000273 s: turing.partrec_to_TM2.cont_stack._main.equations._eqn_1 0.000221 s: Mon.colimits.prequotient.one.inj 0.000346 s: Mon.colimits.prequotient.one.inj_arrow 0.004685 s: sym2.rel.drec 0.000201 s: connected_components.inhabited 0.000139 s: connected_components.inhabited.equations._eqn_1 0.000427 s: ordnode.union._main.equations._eqn_1 0.000141 s: ordnode.union.equations._eqn_1 0.000728 s: set.empty_prod 0.001278 s: frontier_univ_prod_eq 0.610779 s: category_theory.Mat_.has_finite_biproducts.equations._eqn_1 0.000132 s: distrib_mul_action_hom.id._proof_2 0.000081 s: distrib_mul_action_hom.id._proof_3 0.001357 s: distrib_mul_action_hom.id 0.000996 s: distrib_mul_action_hom.id.equations._eqn_1 0.171561 s: complex.of_real_rat_cast 0.000379 s: real.abs_cos_eq_sqrt_one_sub_sin_sq 0.027477 s: real.cos_eq_sqrt_one_sub_sin_sq 0.000181 s: ε_NFA.cases_on 0.001108 s: multiset.eq_zero_iff_forall_not_mem 0.017417 s: set.Icc.semilattice_sup_bot.equations._eqn_1 0.002340 s: state_t.equiv._match_4.equations._eqn_1 0.000656 s: linarith.linexp.cmp._main.equations._eqn_2 0.000141 s: Top.sheaf_inhabited._proof_1 0.039758 s: algebra.fg_trans' 0.007519 s: algebra.finite_type.trans 0.000364 s: exterior_algebra.equations._eqn_1 0.000188 s: category_theory.limits.has_finite_colimits_of_has_colimits 0.000378 s: lie_algebra.derived_abelian_of_ideal.equations._eqn_1 0.177567 s: CommRing.colimits.colimit_type.comm_ring.equations._eqn_1 0.014119 s: list.last_concat 0.000136 s: ordnode.insert_min._sunfold 0.000545 s: free_algebra.pre.add.inj 0.000218 s: free_algebra.pre.add.inj_arrow 0.001967 s: le_mul_right 0.010268 s: ulift.semimodule'._proof_1 0.001911 s: ulift.semimodule' 0.000492 s: ulift.semimodule_equiv._proof_2 0.000586 s: category_theory.is_subterminal_of_mono_is_terminal_from 0.001152 s: mono_equiv_of_fin 0.000946 s: mono_equiv_of_fin.equations._eqn_1 0.000274 s: sub_mul_action.ext 0.000471 s: path.no_confusion_type 0.000653 s: path.no_confusion 0.000737 s: path.mk.inj 0.000789 s: path.mk.inj_arrow 0.000137 s: ωCPO.inhabited 0.000114 s: ωCPO.inhabited.equations._eqn_1 0.000029 s: tactic.rewrite_cfg.symm._default 0.000046 s: tactic.rewrite_cfg.symm._default.equations._eqn_1 0.001174 s: list.has_decidable_lt._match_2._proof_1 0.007298 s: filter.realizer.sup._match_6.equations._eqn_1 0.001501 s: buffer.read_eq_nth_le_to_list 0.000092 s: is_asymm.cases_on 0.005889 s: lie_add_group.drec_on 0.000849 s: set.Ioi_diff_Ici 0.048262 s: pi.generalized_boolean_algebra._proof_16 0.000277 s: real.is_conjugate_exponent.drec_on 0.000372 s: parser.mono.ch.equations._eqn_1 0.000327 s: pythagorean_triple.is_classified 0.039849 s: pythagorean_triple.mul 0.079829 s: pythagorean_triple.mul_is_classified 0.098499 s: ring.fractional_ideal.nontrivial.equations._eqn_1 0.000298 s: submonoid.has_top.equations._eqn_1 0.036259 s: normed_space.restrict_scalars.equations._eqn_1 0.005818 s: category_theory.limits.biproduct.matrix_π_assoc 0.000331 s: le_add_of_le_add_right 0.001471 s: quotient_add_group.right_rel_decidable 0.060212 s: lie_subalgebra.incl.equations._eqn_1 0.004455 s: int.pred_succ 0.000715 s: int.pred_nat_succ 0.008365 s: category_theory.comonad_to_functor.faithful 0.003532 s: category_theory.comonad_to_functor.faithful.equations._eqn_1 0.003381 s: subsemiring.top_prod 0.184465 s: fraction_map.map 0.220363 s: fraction_map.map.equations._eqn_1 0.023379 s: exp_char.drec 0.000509 s: finset.choose.equations._eqn_1 0.015113 s: filter.Limsup_bot 0.012056 s: circle_deg1_lift.iterate_eq_of_map_eq_add_int 0.004421 s: lie_subalgebra.inf_coe_to_submodule 0.081096 s: bilin_form_of_real_inner_apply 0.000949 s: category_theory.full.id 0.000139 s: category_theory.mono_over.exists_pullback_adj._proof_1 0.213611 s: category_theory.mono_over.exists_pullback_adj 0.216055 s: category_theory.mono_over.exists_pullback_adj.equations._eqn_1 0.013169 s: local_homeomorph.is_image.of_symm_image_eq 0.000057 s: pgame.inhabited 0.000083 s: pgame.inhabited.equations._eqn_1 0.000710 s: monoid_hom.coe_eq_to_one_hom 0.003503 s: smooth_map_has_scalar 0.002539 s: smooth_map_has_scalar.equations._eqn_1 0.000105 s: num.lxor._main.equations._eqn_1 0.000307 s: mvqpf.const.get_map 0.000074 s: is_idempotent.rec_on 0.047988 s: galois_coinsertion.u_infi_l 0.020405 s: continuous_linear_map.ker_prod_ker_le_ker_coprod 0.160279 s: measure_theory.integral_pos_iff_support_of_nonneg_ae 0.161470 s: measure_theory.set_integral_pos_iff_support_of_nonneg_ae 0.225740 s: interval_integral.integral_pos_iff_support_of_nonneg_ae' 0.159938 s: interval_integral.integral_pos_iff_support_of_nonneg_ae 0.000246 s: free_group.red.enum 0.000225 s: free_group.red.enum.equations._eqn_1 0.030628 s: derivation.is_scalar_tower 0.004862 s: linear_map.ker_le_range_iff 0.001896 s: mul_lt_of_lt_of_le_one 0.002789 s: tactic_doc._3133313718 0.002130 s: finsupp.dom_congr_refl 0.007485 s: polynomial.reverse_mul_of_domain 0.036071 s: polynomial.nat_trailing_degree_mul 0.117556 s: polynomial.mirror_mul_of_domain 0.012239 s: tree.repr._main.equations._eqn_2 0.002027 s: tree.repr.equations._eqn_2 0.005746 s: wseq.drop.aux_none 0.001197 s: id.is_lawful_traversable._proof_1 0.005444 s: gcd_monoid.mk.inj 0.001881 s: parser.mono.foldl_core._sunfold 0.000138 s: add_submonoid.localization_map.has_sizeof_inst 0.000193 s: regular_expression.rmatch._sunfold 0.014058 s: category_theory.subobject.wide_pullback_ι_mono.equations._eqn_1 0.000350 s: add_comm_semigroup.rec_on 0.002372 s: quadratic_form.isometry.trans._proof_1 0.002235 s: quadratic_form.isometry.trans._proof_2 0.002335 s: quadratic_form.isometry.trans._proof_3 0.002911 s: quadratic_form.isometry.trans._proof_4 0.005283 s: quadratic_form.isometry.trans 0.004854 s: quadratic_form.isometry.trans.equations._eqn_1 0.000091 s: pgame.short_bit0 0.000107 s: pgame.short_bit1 0.000309 s: field.mem_closure 0.000097 s: field.subset_closure 0.002006 s: field.closure_subset 0.000206 s: field.closure_subset_iff 0.021458 s: add_comm_group.int_smul_comm_class.equations._eqn_1 0.003618 s: mul_hom.mk.inj_eq 0.000204 s: turing.TM1to1.tr_tape 0.000418 s: turing.TM1to1.tr_cfg._main 0.000562 s: turing.TM1to1.tr_cfg._main.equations._eqn_1 0.000034 s: complete_semilattice_Inf.lt._default 0.002933 s: finsupp.sigma_sum 0.000438 s: pequiv.of_set_eq_some_self_iff 0.006456 s: category_theory.exact_comp_hom_inv_comp 0.000998 s: cardinal.has_add._match_1.equations._eqn_1 0.006241 s: distrib_lattice.copy._aux_4 0.005261 s: distrib_lattice.copy._aux_5 0.007571 s: distrib_lattice.copy._aux_9 0.044443 s: distrib_lattice.copy._aux_10 0.000904 s: associates.bcount._main.equations._eqn_1 0.000379 s: associates.bcount.equations._eqn_1 0.127273 s: pre_tilt.integral_domain._proof_5 0.015011 s: tactic.norm_fin.normalize_fin_lt.cast_add 0.225880 s: is_local_max.has_fderiv_at_eq_zero 0.178394 s: is_local_max.fderiv_eq_zero 0.022443 s: category_theory.monad_to_functor.faithful 0.000830 s: locally_constant.has_mul.equations._eqn_1 0.001143 s: continuous_at_neg 0.000322 s: tendsto_neg 0.003796 s: finset.le_prod_of_submultiplicative_on_pred 0.000658 s: mv_polynomial.integral_domain_fintype.equations._eqn_1 0.000595 s: finsupp.uncurry 0.002555 s: finsupp.curry.equations._eqn_1 0.000801 s: finsupp.uncurry.equations._eqn_1 0.010060 s: finsupp.finsupp_prod_equiv._proof_1 0.001965 s: continuous_linear_map.snd.equations._eqn_1 0.000289 s: set.mem_Icc_of_Ioc 0.000157 s: omega.update_zero._main.equations._eqn_1 0.001290 s: valuation.comap_id 0.000472 s: add_valuation.comap_id 0.002148 s: category_theory.functor.sum.equations._eqn_1 0.001168 s: _private.666698111.optimal_GH_dist.equations._eqn_1 0.000545 s: filter.tendsto_Ixx_class.dcases_on 0.002595 s: parser.foldr_eq_fail 0.001836 s: parser.many_eq_fail 0.007429 s: normed_group_hom.le_op_norm_of_le 0.000186 s: monad_functor_t_refl.equations._eqn_1 0.000721 s: lipschitz_on_with.of_dist_le_mul 0.000774 s: distrib_mul_action.rec_on 0.000625 s: set.nonempty_Iio 0.002716 s: set.Iio.infinite 0.000456 s: set.Ioi.infinite 0.000167 s: set.Ici.infinite 0.000094 s: algebraic_geometry.SheafedSpace.restrict._proof_7 0.000296 s: category_theory.limits.has_colimit.drec 0.000706 s: open_subgroup.comap._proof_2 0.000826 s: open_subgroup.comap._proof_4 0.001980 s: open_subgroup.comap 0.001758 s: open_subgroup.comap.equations._eqn_1 0.000446 s: int.lor._main.equations._eqn_3 0.000387 s: turing.partrec_to_TM2.Λ'.move.inj 0.000170 s: turing.partrec_to_TM2.Λ'.move.inj_arrow 0.000457 s: equiv.sum_prod_distrib._match_1.equations._eqn_1 0.000238 s: _private.2596155485.pair_other.equations._eqn_1 0.000119 s: computation.equiv.equations._eqn_1 0.072154 s: category_theory.functor.map_cocone_inv_map_cocone 0.079664 s: category_theory.functor.map_cocone_inv_map_cocone.equations._eqn_1 0.000122 s: is_well_order.rec_on 0.000497 s: category_theory.grothendieck_topology.is_closed.equations._eqn_1 0.013681 s: is_free_group.lift_of 0.002382 s: category_theory.functor.ess_image_inclusion_map 0.050088 s: order_iso.ess_inf_apply 0.012431 s: continuous_map.comp_right_continuous_map._proof_1 0.000751 s: continuous_map.comp_right_continuous_map 0.006045 s: continuous_map.comp_right_homeomorph._proof_1 0.006369 s: continuous_map.comp_right_homeomorph._proof_2 0.000950 s: continuous_map.comp_right_homeomorph._proof_3 0.000918 s: continuous_map.comp_right_homeomorph._proof_4 0.002184 s: continuous_map.comp_right_homeomorph 0.003812 s: add_equiv_iso_AddMon_iso._proof_1 0.003846 s: add_equiv_iso_AddMon_iso._proof_2 0.000742 s: add_equiv_iso_AddMon_iso 0.000866 s: add_equiv_iso_AddMon_iso.equations._eqn_1 0.023785 s: nonneg_ring.one_nonneg 0.000415 s: pfunctor.M.ichildren 0.000442 s: pfunctor.M.ichildren.equations._eqn_1 0.010128 s: category_theory.triangulated.pretriangulated.cases_on 0.004650 s: category_theory.triangulated.pretriangulated.no_confusion_type 0.005852 s: category_theory.triangulated.pretriangulated.no_confusion 0.007043 s: linear_map.of_is_compl_eq' 0.000208 s: ordnode.erase_max._sunfold 0.008091 s: boolean_algebra.sizeof 0.022626 s: boolean_algebra.mk.sizeof_spec 0.081657 s: is_linear_map.image_convex_hull 0.013267 s: submodule.span_preimage_le 0.000662 s: isometric.surjective 0.000175 s: category_theory.pairwise.cocone_ι_app._main._proof_1 0.013122 s: category_theory.pairwise.cocone_ι_app._main.equations._eqn_2 0.000994 s: ulift.is_lawful_monad._match_2 0.000296 s: ulift.is_lawful_monad._match_3 0.035189 s: local_ring.residue.equations._eqn_1 0.000211 s: ordinal.not_zero_is_limit 0.000607 s: subrel.equations._eqn_1 0.025500 s: ordinal.cof_eq_one_iff_is_succ 0.014724 s: ordinal.cof_cof 0.010885 s: ordinal.omega_le_cof 0.000113 s: cardinal.cof_is_regular 0.000128 s: has_Inf.sizeof 0.000026 s: has_Inf.has_sizeof_inst 0.003224 s: ordered_add_comm_monoid.cases_on 0.000189 s: shelf.no_confusion_type 0.000454 s: category_theory.quotient.mk.inj_eq 0.001161 s: pregroupoid.rec_on 0.000333 s: has_monad_lift_t.mk.inj 0.000311 s: free_group.red.decidable_rel._match_3._proof_1 0.000718 s: free_group.red.decidable_rel._match_3.equations._eqn_1 0.001760 s: free_add_magma.traverse_add' 0.000428 s: category_theory.comm_monoid_of_skeletal_braided._proof_4 0.002077 s: linear_order_of_STO'.equations._eqn_1 0.000510 s: asymptotics.is_o_refl_left 0.000204 s: Magma.coe_of 0.003234 s: pi.ordered_cancel_add_comm_monoid._proof_7 0.000240 s: algebraic_geometry.PresheafedSpace.inhabited 0.000104 s: algebraic_geometry.PresheafedSpace.inhabited.equations._eqn_1 0.000084 s: omega.update_zero.equations._eqn_1 0.007110 s: category_theory.limits.is_limit_map_cone_binary_fan_equiv.equations._eqn_1 0.000089 s: pos_num.sub._match_1 0.000103 s: pos_num.sub._match_1.equations._eqn_1 0.000916 s: mem_closed_ball_iff_norm 0.000789 s: add_submonoid.is_add_submonoid 0.000193 s: relator.bi_total.to_left_total 0.022996 s: bilin_form.skew_adjoint_submodule._proof_1 0.024144 s: bilin_form.skew_adjoint_submodule 0.023441 s: skew_adjoint_lie_subalgebra._proof_1 0.000589 s: one_le_inv_of_le_one 0.000077 s: slim_check.large.mk 0.000098 s: slim_check.large.mk.equations._eqn_1 0.001539 s: category_theory.kleisli.adjunction.from_kleisli_obj 0.002460 s: subgroup.nontrivial_iff_exists_ne_one 0.007419 s: category_theory.limits.wide_pushout_shape.mk_cocone.equations._eqn_1 0.007354 s: Prop.fintype._proof_2 0.000104 s: Prop.fintype 0.000651 s: simple_graph.cases_on 0.001373 s: simple_graph.ext 0.000278 s: simple_graph.fintype 0.000374 s: ulift.has_one.equations._eqn_1 0.000331 s: rel.inv_inv 0.000233 s: ordnode.insert_min.equations._eqn_2 0.000146 s: many_one_degree.inhabited 0.002174 s: fintype.sum_strict_mono 0.011505 s: dfinsupp.prod_subtype_domain_index 0.000448 s: writer_t.mk_label._sunfold 0.001886 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring_add 0.000721 s: mvqpf.is_uniform 0.000282 s: mvfunctor.supp.equations._eqn_1 0.006128 s: mvqpf.liftp_iff 0.004782 s: mvqpf.mem_supp 0.002878 s: mvqpf.supp_eq_of_is_uniform 0.001513 s: semi_normed_group.core.dcases_on 0.019383 s: multilinear_map.uncurry_right_apply 0.008000 s: multilinear_map.curry_right_apply 0.010370 s: multilinear_map.uncurry_curry_right 0.005232 s: times_cont_diff_at.inner 0.001424 s: zero_hom.comp_apply 0.001823 s: add_hom.cancel_left 0.000149 s: category_theory.functor.inhabited 0.000121 s: category_theory.functor.inhabited.equations._eqn_1 0.010308 s: cSup_mem_closure 0.004438 s: smooth_map.coe_div 0.000257 s: slim_check.total_function.inhabited.equations._eqn_1 0.003197 s: mem_nhds_within_Iic_iff_exists_mem_Ico_Ioc_subset 0.001724 s: bundle_trivialization.piecewise_le 0.002137 s: set.subset_ite 0.006770 s: bundle_trivialization.disjoint_union._proof_1 0.005601 s: bundle_trivialization.disjoint_union._proof_2 0.000699 s: bundle_trivialization.disjoint_union._proof_4 0.000824 s: bundle_trivialization.disjoint_union._proof_5 0.019408 s: bundle_trivialization.disjoint_union 0.000291 s: bundle_trivialization.restr_open._proof_3 0.006999 s: bundle_trivialization.restr_open._proof_6 0.004115 s: bundle_trivialization.restr_open 0.047453 s: is_topological_fiber_bundle.exists_trivialization_Icc_subset 0.000229 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.rw_0.inj_eq 0.016179 s: has_continuous_mul.of_nhds_one 0.000274 s: pi.add_def 0.003021 s: set.indicator_diff' 0.000023 s: prop.inhabited 0.000232 s: no_zero_divisors.drec 0.026506 s: tensor_product.assoc_tmul 0.003789 s: add_left_cancel_semigroup.mk.inj 0.003284 s: add_left_cancel_semigroup.mk.inj_arrow 0.003961 s: mv_polynomial.punit_alg_equiv_symm_apply 0.002992 s: affine_equiv.no_confusion_type 0.002286 s: affine_equiv.no_confusion 0.002724 s: affine_equiv.mk.inj 0.005602 s: affine_equiv.mk.inj_eq 0.000213 s: as_fn 0.003813 s: seq.zip_with_nth_none 0.089907 s: polynomial.has_fderiv_at 0.131284 s: polynomial.has_fderiv_within_at 0.146062 s: polynomial.fderiv_within 0.018413 s: subalgebra.sizeof 0.004777 s: add_group.cases_on 0.005221 s: add_group.no_confusion_type 0.004144 s: add_group.no_confusion 0.003875 s: add_group.mk.inj 0.003501 s: add_group.mk.inj_arrow 0.001641 s: mvpfunctor.M.path.child.inj_arrow 0.000116 s: omega.ee.factor.sizeof_spec 0.000779 s: multiset.inter.equations._eqn_1 0.001531 s: multiset.le_prod_nonempty_of_submultiplicative 0.000610 s: euclidean_geometry.angle_le_pi 0.021477 s: clifford_algebra.rel.cases_on 0.000055 s: tactic.itauto.proof.triv.inj_arrow 0.004292 s: ring_quot.star_ring._proof_1 0.006946 s: ring_quot.star_ring._proof_2 0.003998 s: ring_quot.star_ring 0.004352 s: ring_quot.star_ring.equations._eqn_1 0.001621 s: category_theory.limits.cocones.functoriality_obj_X 0.000039 s: tactic.dunfold_config.md._default 0.000069 s: tactic.dunfold_config.md._default.equations._eqn_1 0.000691 s: ring_hom.eq_locus_field._proof_4 0.000074 s: functor.add_const.equations._eqn_1 0.001265 s: with_zero.canonically_ordered_add_monoid._proof_12 0.001736 s: is_basis_of_findim_zero 0.001977 s: is_basis_of_findim_zero' 0.001412 s: bilin_form.zero_apply 0.000466 s: bilin_form.nondegenerate.equations._eqn_1 0.022737 s: quadratic_form.exists_quadratic_form_neq_zero 0.015893 s: bilin_form.exists_bilin_form_self_neq_zero 0.202512 s: bilin_form.orthogonal_span_singleton_eq_to_lin_ker 0.111154 s: linear_map.span_singleton_sup_ker_eq_top 0.115299 s: bilin_form.span_singleton_sup_orthogonal_eq_top 0.023851 s: bilin_form.restrict.equations._eqn_1 0.022364 s: bilin_form.restrict_orthogonal_span_singleton_nondegenerate 0.006402 s: bilin_form.restrict_sym 0.169495 s: submodule.findim_add_eq_of_is_compl 0.037424 s: bilin_form.is_compl_span_singleton_orthogonal 0.000710 s: bilin_form.is_Ortho_def 0.052306 s: bilin_form.linear_independent_of_is_Ortho 0.105881 s: bilin_form.exists_orthogonal_basis' 0.011450 s: bilin_form.exists_orthogonal_basis 0.000167 s: reader_t.monad_functor 0.004799 s: reader_t.run_monad_map 0.002759 s: fin2.remap_left._main.equations._eqn_3 0.000522 s: fin2.remap_left.equations._eqn_3 0.000625 s: units.has_neg.equations._eqn_1 0.001122 s: tactic_doc._4153202739 0.008644 s: norm_num.inv_div 0.534444 s: real.exp_neg_one_gt_d9 0.886877 s: max_eq_half_add_add_abs_sub 0.000376 s: order.ideal.is_proper.drec_on 0.034598 s: set.sep_true 0.109162 s: is_R_or_C.of_real_li_apply 0.000063 s: tactic.tfae.arrow.left.inj_eq 0.054021 s: is_separable.rec_on 0.008906 s: units_int.fintype._proof_1 0.000299 s: units_int.fintype 0.000158 s: units_int.fintype.equations._eqn_1 0.000342 s: quiver.zigzag_setoid._match_3.equations._eqn_1 0.000235 s: additive.linear_ordered_add_comm_monoid_with_top._proof_6 0.000096 s: io.fs.close.equations._eqn_1 0.000079 s: has_one.cases_on 0.000071 s: has_one.no_confusion_type 0.000238 s: has_one.no_confusion 0.000109 s: has_one.mk.inj 0.000856 s: metric.metric_space.to_emetric_space.equations._eqn_1 0.003993 s: is_add_monoid_hom.is_add_monoid_hom_mul_left.equations._eqn_1 0.000580 s: Top.presheaf.sheaf_condition.opens_le_cover.category_theory.category.equations._eqn_1 0.001487 s: continuous_within_at.smul 0.001228 s: continuous_on.smul 0.008106 s: category_theory.limits.types.binary_coproduct_colimit._proof_2 0.000449 s: order_dual.semilattice_sup_top._proof_4 0.002830 s: category_theory.functor.hom_pairing_map 0.143950 s: adjoin_root.power_basis.equations._eqn_1 0.000599 s: omega.nat.preterm.repr._main.equations._eqn_2 0.000081 s: omega.nat.preterm.repr.equations._eqn_2 0.000106 s: compact_space.cases_on 0.000694 s: is_greatest_Icc 0.000146 s: is_lub_Icc 0.000104 s: upper_bounds_Icc 0.000589 s: sesq_form.is_ortho 0.015830 s: refl_sesq_form.eq_zero 0.002471 s: refl_sesq_form.ortho_sym 0.013863 s: sym_sesq_form.is_refl 0.001142 s: sym_sesq_form.ortho_sym 0.000218 s: omega_complete_partial_order.continuous_hom.inhabited 0.000202 s: omega_complete_partial_order.continuous_hom.inhabited.equations._eqn_1 0.000272 s: category_theory.limits.has_finite_wide_pullbacks.drec 0.041488 s: multilinear_curry_left_equiv._proof_8 0.019015 s: dfinsupp.mk_sub 0.007859 s: add_monoid_algebra.lift_single 0.002768 s: subring.to_add_subgroup_strict_mono 0.000241 s: subring.to_add_subgroup_mono 0.000659 s: wseq.not_mem_nil 0.274199 s: has_strict_fderiv_at.sqrt 0.000385 s: encodable.subtype.equations._eqn_1 0.000637 s: category_theory.limits.span.equations._eqn_1 0.024401 s: set.bUnion_range_preimage_singleton 0.000021 s: tactic.apply_cfg.opt_param._default 0.014048 s: ordered_semiring.rec_on 0.000066 s: slim_check.tree.sample._main 0.000549 s: _private.2434016155.basic.equations._eqn_1 0.020499 s: category_theory.adjunction.functoriality_counit'_app_hom 0.000340 s: list.zip_right.equations._eqn_1 0.002677 s: finset.sum_eq_add 0.000531 s: fintype.sum_eq_add 0.002119 s: category_theory.limits.biprod.braiding'._proof_1 0.002022 s: category_theory.limits.biprod.braiding'._proof_2 0.001142 s: category_theory.limits.biprod.braiding' 0.001113 s: category_theory.limits.biprod.braiding'_hom 0.000526 s: int.shiftl_neg_succ 0.005193 s: linarith.int.coe_nat_one_mul 0.000566 s: hash_map.replace_aux._main.equations._eqn_1 0.000143 s: hash_map.replace_aux.equations._eqn_1 0.001605 s: category_theory.limits.types.colimit_equiv_quot_apply 0.001311 s: category_theory.limits.types.colimit_eq 0.006106 s: category_theory.cofinal.cofinal_of_colimit_comp_coyoneda_iso_punit 0.004771 s: ennreal.bit1_ne_zero 0.000886 s: fin.coe_embedding._proof_1 0.000966 s: has_measurable_smul_of_mul 0.000544 s: CompHaus.coe_of 0.000100 s: int.div2._main.equations._eqn_2 0.000044 s: int.div2.equations._eqn_2 0.001311 s: list.pairwise_iff 0.003809 s: add_equiv.coe_to_linear_equiv_symm 0.002586 s: category_theory.limits.kernel.iso_kernel._proof_1 0.002578 s: category_theory.limits.kernel.iso_kernel 0.000363 s: quadratic_form.anisotropic 0.000467 s: finsupp.map_range.zero_hom._proof_1 0.000425 s: finsupp.map_range.zero_hom 0.000480 s: finsupp.map_range.zero_hom.equations._eqn_1 0.000078 s: pgame.subsingleton_short._main 0.000054 s: ordnode.emem 0.000161 s: ordnode.emem.equations._eqn_1 0.000983 s: ordnode.any._main.equations._eqn_2 0.000145 s: ordnode.any.equations._eqn_2 0.003868 s: ordnode.all_iff_forall 0.004320 s: category_theory.arrow.lift_struct.fac_right_assoc 0.014486 s: mv_polynomial.eval₂_cast_comp 0.077563 s: CommRing.adj._proof_1 0.019551 s: CommRing.adj 0.005480 s: CommRing.adj.equations._eqn_1 0.000302 s: continuous_map_comm_group._proof_1 0.000247 s: continuous_map_comm_group._proof_3 0.000706 s: continuous_map_comm_group._proof_4 0.000623 s: continuous_map_comm_group._proof_5 0.000887 s: continuous_map_comm_group._proof_7 0.005840 s: continuous_map_comm_group 0.000614 s: directed_system.map_self 0.070503 s: add_submonoid.map_supr 0.000152 s: num.shiftl._main.equations._eqn_2 0.000052 s: num.shiftl.equations._eqn_2 0.013905 s: finite_dimensional.finite_dimensional_quotient.equations._eqn_1 0.068562 s: tensor_algebra.to_clifford.equations._eqn_1 0.124036 s: algebra.tensor_product.assoc_aux_1 0.019704 s: mul_action_hom.ext 0.002798 s: mul_action_hom.comp_apply 0.002583 s: mul_action_hom.comp_id 0.000332 s: semigroup.sizeof 0.000103 s: semigroup.has_sizeof_inst 0.000835 s: measure_theory.simple_func.nearest_pt_ind._main.equations._eqn_1 0.000157 s: function.embedding.sectl._proof_1 0.000336 s: function.embedding.sectl 0.000201 s: function.embedding.sectl.equations._eqn_1 0.003557 s: computation.lift_eq_iff_equiv 0.001524 s: computation.lift_rel_map 0.000581 s: computation.map_congr 0.001056 s: not_bdd_below_iff' 0.004011 s: list.mem_insert_nth 0.000117 s: irrational.of_mul_rat 0.131421 s: irrational.mul_rat 0.023484 s: category_theory.action_category.stabilizer_iso_End.equations._eqn_1 0.012477 s: star_ring_of_comm._proof_3 0.000217 s: decidable.rec_on_false 0.000341 s: decidable.rec_on_false.equations._eqn_1 0.000234 s: computation.bind.G._sunfold 0.007008 s: lie_subalgebra_lie_ring.equations._eqn_1 0.000768 s: wseq.update_nth._match_1.equations._eqn_4 0.001095 s: mul_action_hom.mk.inj 0.001278 s: mul_action_hom.mk.inj_eq 0.000229 s: AddCommGroup.category_theory.limits.has_binary_biproduct.equations._eqn_1 0.000560 s: zmod.units_equiv_coprime._proof_2 0.000498 s: zmod.cast_id' 0.002962 s: zmod.units_equiv_coprime._match_2 0.000348 s: zmod.units_equiv_coprime._proof_3 0.000726 s: zmod.units_equiv_coprime 0.003651 s: zmod.card_units_eq_totient 0.000714 s: zmod.pow_totient 0.015101 s: nat.modeq.pow_totient 0.007896 s: category_theory.pi.sum_obj_map 0.001120 s: d_array.ext' 0.005122 s: d_array.of_beq_aux_eq_tt 0.001626 s: d_array.of_beq_eq_tt 0.000328 s: d_array.decidable_eq._proof_1 0.012265 s: category_theory.eq._proof_2 0.007069 s: category_theory.eq._proof_3 0.008264 s: category_theory.eq._proof_4 0.026365 s: category_theory.eq._proof_5 0.035802 s: category_theory.eq._proof_6 0.032777 s: category_theory.eq 0.015886 s: category_theory.eq_unit_iso 0.000058 s: slim_check.no_shrink.get 0.000078 s: slim_check.no_shrink.get.equations._eqn_1 0.000330 s: erased.join_eq_out 0.004232 s: list.to_finset_append 0.001672 s: option.bind_map_comm 0.005397 s: add_submonoid.localization_map.add_equiv_of_localizations_left_neg 0.001304 s: add_submonoid.localization_map.add_equiv_of_localizations_left_neg_apply 0.000472 s: directed.sequence._match_1.equations._eqn_1 0.000060 s: onote.has_repr.equations._eqn_1 0.000308 s: vector.head._main.equations._eqn_2 0.000451 s: local_ring.residue_field.inhabited.equations._eqn_1 0.003531 s: quadratic_form.isometry.mk.inj_eq 0.000183 s: lists'.atom.inj_eq 0.000304 s: list.map_accumr₂._sunfold 0.000349 s: locally_constant.ring._proof_8 0.001036 s: subtype.pseudo_dist_eq 0.001598 s: category_theory.monadic_right_adjoint.cases_on 0.000634 s: category_theory.monadic_right_adjoint.no_confusion_type 0.002047 s: set.apply_piecewise₂ 0.001649 s: set.piecewise_op₂ 0.001211 s: set.piecewise_mul 0.003756 s: finset.union_sdiff_self 0.003443 s: continuous_linear_map.range_coe 0.000267 s: turing.partrec_to_TM2.Λ'.read.inj 0.003087 s: lt_mul_of_inv_mul_lt_right 0.001447 s: with_top.preorder._match_2.equations._eqn_1 0.012475 s: continuous_linear_map.ring.equations._eqn_1 0.006353 s: category_theory.graded_object.comap_eq_inv_app 0.002924 s: diffeomorph.no_confusion_type 0.003577 s: diffeomorph.no_confusion 0.004353 s: diffeomorph.mk.inj 0.000583 s: list.alternating_sum_singleton 0.008363 s: ideal.rel_iso_of_bijective.equations._eqn_1 0.004491 s: with_zero.ordered_comm_monoid.equations._eqn_1 0.003673 s: galois_coinsertion.dual.equations._eqn_1 0.001309 s: rel.image_id 0.002873 s: category_theory.sieve.nat_trans_of_le._proof_1 0.004727 s: category_theory.sieve.nat_trans_of_le 0.002306 s: category_theory.with_terminal.lift_map 0.002197 s: category_theory.extend_fan_X 0.000375 s: list.to_string_aux._main.equations._eqn_3 0.000101 s: list.to_string_aux.equations._eqn_3 0.007261 s: valuation.map_sum_lt 0.000196 s: omega.nat.preform.or.inj 0.001670 s: ordinal.le._match_6.equations._eqn_1 0.002177 s: set.proj_Icc_surj_on 0.004236 s: fin.val_two 0.000424 s: mvfunctor.cases_on 0.027132 s: lie_module_hom.module.equations._eqn_1 0.004752 s: pequiv.single_subsingleton_eq_refl 0.049655 s: Module.monoidal_category.associator_hom_apply 0.241202 s: Module.free.obj.category_theory.lax_monoidal._proof_2 0.136106 s: Module.free.obj.category_theory.lax_monoidal._proof_3 0.091954 s: Module.free.obj.category_theory.lax_monoidal 0.000329 s: list.to_array.equations._eqn_1 0.000202 s: uniform_space.completion.has_add.equations._eqn_1 0.014569 s: is_least.union 0.002278 s: is_least.insert 0.002420 s: finset.min'_insert 0.000097 s: num.size._main.equations._eqn_2 0.000069 s: num.size.equations._eqn_2 0.009203 s: category_theory.subobject.factors_right_of_factors_add 0.002601 s: category_theory.subobject.factor_thru_add_sub_factor_thru_left 0.000601 s: equiv_functor.map_equiv_symm 0.000039 s: turing.dir.right.inj_eq 0.002259 s: continuous_map.C_apply 0.001707 s: category_theory.with_initial.incl.category_theory.faithful 0.001568 s: measure_theory.measure_preserving.rec_on 0.002005 s: hahn_series.summable_family.mk.sizeof_spec 0.059996 s: category_theory.prod.braiding_unit_iso_hom_app 0.008950 s: list.as_string_inj 0.000299 s: list.as_string_eq 0.002306 s: string.to_list_nonempty 0.000123 s: parser.many_char.equations._eqn_1 0.005296 s: parser.many_char_eq_many_of_to_list 0.002134 s: parser.many_char1_eq_done 0.012242 s: category_theory.differential_object.shift_counit_inv.equations._eqn_1 0.001071 s: pmf.bind_apply 0.000404 s: pmf.pure_apply 0.012297 s: pmf.pure_bind 0.000069 s: monad.unlessb 0.020306 s: category_theory.monad.monadicity_internal.counit_coequalizer_of_reflects_coequalizer.equations._eqn_1 0.001359 s: ulift.is_scalar_tower' 0.035863 s: lie_algebra.of_associative_algebra_hom_comp 0.000037 s: Ab 0.010378 s: complete_lattice_of_Sup.equations._eqn_1 0.000081 s: lazy_list.attach._proof_1 0.000070 s: Magma.equations._eqn_1 0.001538 s: category_theory.limits.is_limit.cone_point_unique_up_to_iso.equations._eqn_1 0.002537 s: typevec.of_subtype._main.equations._eqn_1 0.000536 s: rbtree.empty._main.equations._eqn_3 0.000159 s: rbtree.empty.equations._eqn_3 0.008220 s: finset.min'_eq_sorted_zero 0.074238 s: subspace.convex 0.010903 s: category_theory.limits.reflects_colimit.no_confusion_type 0.002544 s: category_theory.limits.reflects_colimit.no_confusion 0.002977 s: category_theory.limits.reflects_colimit.mk.inj 0.000110 s: measurable_space.inhabited 0.008310 s: category_theory.subobject.prod_eq_inf 0.001276 s: continuous_extend_from 0.002559 s: order_closed_topology.to_t2_space.equations._eqn_1 0.000992 s: linear_map.coe_pow 0.000326 s: finsupp.inhabited.equations._eqn_1 0.000388 s: ordnode.remove_nth._match_1.equations._eqn_2 0.000104 s: filter.is_bounded.equations._eqn_1 0.000761 s: filter.is_bounded_bot 0.000266 s: nat.can_lift.equations._eqn_1 0.000280 s: times_cont_diff_bump_of_inner.mk.inj_arrow 0.000369 s: turing.pointed_map.cases_on 0.000139 s: turing.pointed_map.no_confusion_type 0.000461 s: turing.pointed_map.no_confusion 0.000234 s: lower_bounds_Ioo 0.000177 s: parser.prog.decorate_error 0.000701 s: parser.prog.map 0.000041 s: parser.prog.digit 0.000743 s: parser.prog.nat 0.000418 s: parser.prog.nat.equations._eqn_1 0.000076 s: lazy_list.mem.decidable 0.002693 s: mul_action.orbit_equiv_quotient_stabilizer_symm_apply 0.083861 s: smooth_bump_covering.choice_set.equations._eqn_1 0.086487 s: submonoid.map_inf_comap_of_surjective 0.000247 s: monad_except.cases_on 0.000258 s: monad_except.no_confusion_type 0.000325 s: monad_except.no_confusion 0.000149 s: monad_cont.label.no_confusion_type 0.000398 s: monad_cont.label.no_confusion 0.000433 s: monad_cont.label.mk.inj 0.000653 s: set.inter_inv 0.040717 s: category_theory.over.iterated_slice_forward.equations._eqn_1 0.003632 s: category_theory.iso.CommRing_iso_to_ring_equiv.equations._eqn_1 0.002183 s: add_left_cancel_monoid.sizeof 0.000053 s: add_left_cancel_monoid.has_sizeof_inst 0.000165 s: conditionally_complete_lattice.lt._default.equations._eqn_1 0.073459 s: is_R_or_C.im_lm_coe 0.000991 s: psigma.decidable_eq._match_1.equations._eqn_2 0.015848 s: initial_seg.antisymm_symm 0.000059 s: nat.partrec.code.of_nat_code.equations._eqn_4 0.006956 s: setoid.is_partition.sUnion_eq_univ 0.000835 s: is_subgroup.mul_mem_cancel_left 0.001035 s: category_theory.limits.strong_epi_mono_factorisation.no_confusion 0.000755 s: category_theory.limits.strong_epi_mono_factorisation.mk.inj 0.009534 s: linear_map.sub_comp 0.000214 s: free_algebra.pre.ibelow 0.021804 s: category_theory.abelian.epi_pullback_of_epi_f.equations._eqn_1 0.004704 s: submonoid.map_id 0.005223 s: ring.fractional_ideal.canonical_equiv._proof_5 0.000154 s: znum.add._main.equations._eqn_4 0.000064 s: znum.add.equations._eqn_4 0.002039 s: filter.map_at_bot_eq 0.000138 s: fin_enum.psigma.fin_enum_prop_right._proof_2 0.011619 s: mv_polynomial.is_homogeneous.total_degree 0.030248 s: parser.mono.any_char 0.001979 s: uniform_space.comap.equations._eqn_1 0.000037 s: omega.ee.has_sizeof_inst 0.004626 s: metric.inf_dist_zero_of_mem 0.001268 s: name.get_prefix._main 0.000033 s: name.get_prefix 0.002116 s: polynomial.iterated_deriv_add 0.001695 s: polynomial.iterated_deriv_neg 0.002656 s: polynomial.iterated_deriv_sub 0.000169 s: tactic.tfae.arrow.no_confusion 0.000935 s: category_theory.shrink_homs.equivalence_inverse_obj 0.001398 s: times_cont_mdiff_map.inhabited 0.000044 s: nat.prio 0.000036 s: nat.prio.equations._eqn_1 0.000099 s: tree.get_or_else.equations._eqn_1 0.000064 s: pgame.list_short.has_sizeof_inst 0.002252 s: tactic_doc._1278699943 0.007265 s: category_theory.limits.cones.postcompose_equivalence_counit_iso 0.000883 s: if_true_left_eq_or 0.000716 s: parser.bounded.mmap' 0.000192 s: mul_action.injective 0.000989 s: shrinking_lemma.partial_refinement.rec_on 0.000600 s: nat.one_lt_two_pow 0.014250 s: lucas_lehmer.mersenne_int_ne_zero 0.007825 s: lucas_lehmer.s_mod_nonneg 0.000210 s: slim_check.not.printable_prop 0.000246 s: slim_check.not.printable_prop.equations._eqn_1 0.004041 s: category_theory.preserves_limit_iso.equations._eqn_1 0.000074 s: pnat.add_left_cancel_semigroup._proof_1 0.002272 s: pnat.add_left_cancel_semigroup 0.001456 s: pnat.add_left_cancel_semigroup.equations._eqn_1 0.012510 s: homological_complex.graded_homology._proof_1 0.032801 s: homological_complex.graded_homology._proof_2 0.004624 s: homological_complex.graded_homology 0.011033 s: homological_complex.graded_homology_map 0.000141 s: formal_multilinear_series.module._proof_1 0.011036 s: formal_multilinear_series.module._proof_2 0.002182 s: formal_multilinear_series.module._proof_3 0.000170 s: formal_multilinear_series.module._proof_4 0.000062 s: formal_multilinear_series.module._proof_5 0.187490 s: formal_multilinear_series.module 0.010873 s: poly.add._main._proof_1 0.004389 s: poly.add._main.equations._eqn_1 0.000530 s: free_algebra.star_hom._proof_1 0.000311 s: free_algebra.star_hom._proof_2 0.000380 s: free_algebra.star_hom._proof_3 0.000275 s: free_algebra.star_hom._proof_4 0.008981 s: free_algebra.star_algebra_map 0.002343 s: free_algebra.star_hom._proof_5 0.004842 s: free_algebra.star_hom 0.001809 s: is_group_hom.image_subgroup.equations._eqn_1 0.001742 s: mul_semiring_action_hom.sizeof 0.002799 s: mul_semiring_action_hom.mk.sizeof_spec 0.000759 s: monad.sequence'._main 0.000071 s: monad.sequence' 0.000185 s: monad.sequence'._sunfold 0.000353 s: compact_space.sigma_compact 0.012183 s: continuous_linear_map.flip_multilinear._proof_3 0.160074 s: continuous_linear_map.flip_multilinear._proof_9 0.020373 s: pgame.short_of_aux._main._proof_1 0.004944 s: pgame.short_of_aux._main._proof_2 0.009949 s: pgame.short_of_aux._main.equations._eqn_1 0.181323 s: uniform_space_of_edist.equations._eqn_1 0.001649 s: category_theory.equivalence.pow_one 0.000458 s: self_le_mul_right 0.001686 s: self_le_mul_left 0.000167 s: pos_num.of_znum'._main.equations._eqn_2 0.000867 s: mvqpf.pi.P.equations._eqn_1 0.015769 s: canonically_ordered_comm_semiring.cases_on 0.004845 s: canonically_ordered_comm_semiring.no_confusion_type 0.013330 s: matrix.reindex_alg_equiv_symm 0.000142 s: buffer.append_list._sunfold 0.000504 s: rel.preimage_def 0.003102 s: filter.tendsto_iff_rtendsto' 0.000418 s: list.repeat_left_injective 0.000560 s: add_subgroup.closure_eq_of_le 0.010287 s: submodule.span_int_eq_add_subgroup_closure 0.114113 s: affine.simplex.altitude.equations._eqn_1 0.015426 s: category_theory.limits.prod.map_iso_inv 0.003756 s: finsum_mem_comm 0.003756 s: equiv.sigma_congr_left.equations._eqn_1 0.007177 s: category_theory.limits.pushout_cocone.flip_is_colimit.equations._eqn_1 0.012940 s: geom_sum₂_Ico 0.039236 s: witt_vector.witt_add.equations._eqn_1 0.356314 s: witt_vector.witt_add_zero 0.026383 s: finsupp.map_range.zero_hom_apply 0.014498 s: matrix.mul_sub 0.008162 s: category_theory.limits.limit_of_diagram_initial._proof_1 0.002602 s: category_theory.limits.cone_of_diagram_initial_π_app 0.004499 s: category_theory.limits.limit_of_diagram_initial._proof_2 0.002268 s: category_theory.limits.limit_of_diagram_initial 0.000724 s: category_theory.limits.limit_of_initial 0.000893 s: category_theory.limits.mono_factorisation_zero_e 0.000199 s: _private.1723893385.Q._proof_1 0.008129 s: category_theory.monad.monadicity_internal.unit_cofork_X 0.000219 s: additive.linear_ordered_add_comm_monoid_with_top._proof_7 0.001976 s: filter.has_inf._match_1.equations._eqn_1 0.000387 s: free_group.reduce.exact 0.000202 s: free_group.reduce.idem 0.000425 s: free_group.reduce.self 0.000295 s: free_group.to_word.mk 0.000050 s: thunk.has_variable_names 0.000139 s: thunk.has_variable_names.equations._eqn_1 0.000532 s: finsupp.semilattice_inf_bot._proof_4 0.028689 s: polynomial.div_by_monic_eq_div 0.062389 s: polynomial.mul_div_eq_iff_is_root 0.170358 s: adjoin_root.mul_div_root_cancel 0.001125 s: omega_complete_partial_order.continuous_id 0.000157 s: zsqrtd.integral_domain._proof_11 0.035318 s: linear_equiv.of_submodule'_apply 0.000082 s: ordinal.inhabited.equations._eqn_1 0.003211 s: is_group_hom.preimage_normal.equations._eqn_1 0.071818 s: differentiable_within_at.rpow_of_one_le 0.105992 s: differentiable_on.rpow_of_one_le 0.013214 s: measure_theory.ae_eq_fun.has_add.equations._eqn_1 0.000730 s: add_subgroup.fintype.equations._eqn_1 0.002728 s: topological_space.mk_of_nhds._match_1.equations._eqn_1 0.001299 s: turing.TM1to1.tr_normal._main.equations._eqn_6 0.000041 s: znum.add.equations._eqn_1 0.006460 s: category_theory.limits.coprod.associator_inv 0.001917 s: small_sigma 0.001550 s: small_sigma.equations._eqn_1 0.001328 s: list.join_eq_nil 0.003604 s: traversable.fold_foldr.equations._eqn_1 0.001209 s: submodule.has_zero.equations._eqn_1 0.000281 s: is_right_id.dcases_on 0.000371 s: one_hom.to_fun_eq_coe 0.001006 s: filter.frequently_or_distrib 0.000535 s: filter.frequently_false 0.000621 s: filter.frequently_const 0.000552 s: filter.frequently_or_distrib_right 0.030660 s: continuous_multilinear_map.mk_pi_algebra_fin.equations._eqn_1 0.016881 s: pgame.add_assoc_relabelling._main._pack.equations._eqn_1 0.007105 s: pgame.add_assoc_relabelling._main.equations._eqn_1 0.004487 s: pgame.add_assoc_relabelling.equations._eqn_1 0.001880 s: filter.tendsto.div_const 0.000340 s: continuous_within_at.div_const 0.000432 s: list.chain_singleton 0.006105 s: formal_multilinear_series.id_apply_ne_one 0.000133 s: composition.ones.equations._eqn_1 0.002145 s: composition.ones_blocks_fun 0.113992 s: formal_multilinear_series.apply_composition_ones 0.051598 s: formal_multilinear_series.comp_id 0.012278 s: category_theory.comparison_forget._proof_1 0.007001 s: category_theory.comparison_forget._proof_2 0.052336 s: category_theory.comparison_forget._proof_3 0.047146 s: category_theory.comparison_forget._proof_4 0.015205 s: category_theory.comparison_forget 0.000345 s: fin_enum.of_equiv 0.000259 s: fin_enum.psigma.fin_enum 0.092615 s: has_fderiv_within_at.cexp 0.104478 s: differentiable_within_at.cexp 0.048511 s: differentiable_on.cexp 0.002334 s: category_theory.Groupoid.forget_to_Cat_full._proof_1 0.001729 s: category_theory.Groupoid.forget_to_Cat_full 0.008012 s: category_theory.sum.swap_map_inr 0.002532 s: pgame.relabelling.symm._main._proof_2 0.000605 s: preorder_hom.has_bot_bot_to_fun 0.011610 s: complete_lattice.bot_continuous 0.000039 s: nat.lxor.equations._eqn_1 0.000123 s: category_theory.with_terminal.star.inj_eq 0.000156 s: hyperreal.infinite_pos_add_not_infinite 0.000294 s: ordinal.lt.equations._eqn_1 0.000345 s: pfunctor.W.mk._main.equations._eqn_1 0.000122 s: pfunctor.W.mk.equations._eqn_1 0.011376 s: cSup_intro' 0.002011 s: filter.exists_lt_of_tendsto_at_bot 0.002704 s: linear_map.fun_congr_left_apply 0.002269 s: topological_space.opens.map_id_obj' 0.002452 s: abstract_completion.extend_map 0.044828 s: category_theory.functor.map_cone_op_inv_hom 0.009534 s: category_theory.normal_of_is_pushout_snd_of_normal._proof_2 0.003051 s: num.ldiff_to_nat 0.000177 s: int.modeq.decidable._proof_1 0.002934 s: alg_equiv.mk_coe 0.000042 s: computability.inhabited_Γ' 0.004402 s: derivation.mk.sizeof_spec 0.000141 s: ordnode.find_le_aux._match_1.equations._eqn_2 0.001405 s: turing.tm2_computable.rec_on 0.000104 s: complex.tanh_eq_sinh_div_cosh 0.022553 s: complex.tanh_mul_I 0.010928 s: submonoid.topological_closure.has_continuous_mul 0.004843 s: submonoid.topological_closure.has_continuous_mul.equations._eqn_1 0.042587 s: submodule.prod_equiv_of_is_compl.equations._eqn_1 0.000308 s: tactic.interactive.list.minimum_on._main.equations._eqn_1 0.041653 s: complex.isometry_euclidean._proof_1 0.414448 s: complex.isometry_euclidean 0.000953 s: is_R_or_C.I_to_complex 0.435222 s: complex.isometry_euclidean_symm_apply 0.167895 s: complex.isometry_euclidean_proj_eq_self 0.185497 s: complex.isometry_euclidean_apply_zero 0.035657 s: num.cast_lt 0.009646 s: power_series.X_dvd_iff 0.001277 s: add_submonoid.coe_prod 0.016595 s: algebra.adjoin_singleton_one 0.000474 s: filter.germ.comp_tendsto.equations._eqn_1 0.004721 s: nat.lt_mul_of_div_lt 0.000283 s: omega_complete_partial_order.chain.inhabited._proof_1 0.000518 s: omega_complete_partial_order.chain.inhabited 0.000627 s: turing.partrec_to_TM2.tr._main.equations._eqn_11 0.000087 s: turing.partrec_to_TM2.tr.equations._eqn_11 0.000466 s: except_t.monad_writer._match_2 0.002308 s: function.bicompr.is_lawful_bifunctor._proof_1 0.000379 s: function.bicompr.is_lawful_bifunctor 0.002128 s: function.bicompr.is_lawful_bitraversable._proof_1 0.001185 s: is_lawful_bitraversable.bitraverse_eq_bimap_id' 0.002687 s: function.bicompr.is_lawful_bitraversable._proof_3 0.001750 s: is_lawful_bitraversable.binaturality' 0.004492 s: function.bicompr.is_lawful_bitraversable._proof_4 0.001400 s: function.bicompr.is_lawful_bitraversable 0.000348 s: bool.bor_inr 0.001636 s: category_theory.limits.preserves_limit_of_nat_iso.equations._eqn_1 0.001095 s: tactic_doc._295654737 0.000956 s: eq_zero_of_mul_eq_self_left 0.001268 s: finprod_mem_mul_diff' 0.000924 s: finprod_mem_mul_diff 0.000967 s: normed_linear_ordered_group.no_confusion 0.000928 s: normed_linear_ordered_group.mk.inj 0.000166 s: is_right_null.right_null 0.008802 s: add_equiv.add_monoid_hom_congr._proof_1 0.000756 s: category_theory.grothendieck_topology.covers.equations._eqn_1 0.002138 s: category_theory.grothendieck_topology.arrow_max 0.000714 s: category_theory.grothendieck_topology.covers_iff_mem_of_closed 0.002232 s: category_theory.grothendieck_topology.is_closed_iff_close_eq_self 0.000276 s: category_theory.grothendieck_topology.close_eq_self_of_is_closed 0.000194 s: category_theory.limits.binary_bicone.has_sizeof_inst 0.000717 s: category_theory.limits.binary_biproduct_data.sizeof 0.000078 s: category_theory.limits.binary_biproduct_data.has_sizeof_inst 0.001555 s: mvqpf.mvqpf_cofix.equations._eqn_1 0.000568 s: category_theory.bundled.rec_on 0.001196 s: category_theory.limits.cokernel.π_desc_assoc 0.006876 s: category_theory.limits.cokernel_epi_comp._proof_3 0.006170 s: continuous_linear_map.proj_pi 0.007521 s: category_theory.functor.sum._match_3.equations._eqn_2 0.000079 s: lazy_list.singleton._sunfold 0.000524 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_6 0.000433 s: free_group.red.enum.sound 0.000534 s: free_group.red.enum.complete 0.001058 s: free_group.subtype.fintype._proof_1 0.000355 s: free_group.subtype.fintype 0.001845 s: affine_equiv.to_equiv_injective 0.002739 s: affine_equiv.point_reflection_symm 0.002086 s: filter.germ.lt_def 0.112795 s: hyperreal.lt_of_tendsto_zero_of_pos 0.000339 s: hyperreal.epsilon_lt_pos 0.022048 s: times_cont_diff_on.restrict_scalars 0.006617 s: gcd_monoid.mk.sizeof_spec 0.000844 s: faithful_mul_semiring_action.cases_on 0.000453 s: faithful_mul_semiring_action.no_confusion_type 0.000735 s: faithful_mul_semiring_action.no_confusion 0.000892 s: faithful_mul_semiring_action.mk.inj 0.000612 s: faithful_mul_semiring_action.mk.inj_arrow 0.000454 s: bundle.to_total_space_coe 0.001507 s: turing.pointed_map.head_map 0.000156 s: ideal.is_local.cases_on 0.000503 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rw.sizeof_spec 0.000795 s: tactic.rewrite_search.using_conv.app_addr.rw.sizeof_spec 0.003613 s: multiset.semilattice_inf_bot.equations._eqn_1 0.003773 s: linear_ordered_add_comm_monoid.lt_of_add_lt_add_left._default.equations._eqn_1 0.000586 s: list.Ico.self_empty 0.003248 s: category_theory.limits.wide_pushout_shape.mk_cocone_ι_app 0.000070 s: roption.monad_fail 0.000063 s: roption.monad_fail.equations._eqn_1 0.000107 s: monoid.has_pow.equations._eqn_1 0.000203 s: unique.mk'.equations._eqn_1 0.016068 s: finsupp.ordered_cancel_add_comm_monoid.equations._eqn_1 0.065745 s: iterated_fderiv_succ_eq_comp_left 0.046606 s: complex.algebra._match_1.equations._eqn_1 0.000297 s: category_theory.non_preadditive_abelian.has_equalizers.equations._eqn_1 0.157143 s: fixed_points.algebra.equations._eqn_1 0.000741 s: local_homeomorph.replace_equiv.equations._eqn_1 0.000187 s: expr.address.to_string.equations._eqn_1 0.030764 s: category_theory.comp_comparison_forget_has_limit 0.035922 s: category_theory.comp_comparison_forget_has_limit.equations._eqn_1 0.006389 s: deriv_div 0.001348 s: homeomorph.continuous_map_of_unique_apply 0.013637 s: smooth_map_add_monoid.equations._eqn_1 0.025160 s: measurable_space.generate_from_sup_generate_from 0.014428 s: classical.all_definable._main._proof_3 0.014138 s: classical.all_definable._main._proof_4 0.018038 s: classical.all_definable._main.equations._eqn_2 0.006981 s: set.mul_indicator_inv' 0.000642 s: multiplicative.to_add_symm_eq 0.002269 s: ordinal.lt_limit 0.030973 s: Algebra.of_self_iso.equations._eqn_1 0.011097 s: category_theory.pi.comap_comp_inv_app 0.000354 s: Ioc_mem_nhds 0.003870 s: basic_smooth_bundle_core.smooth_proj 0.000263 s: add_subgroup.unique._proof_1 0.143393 s: subspace.linear_proj_of_closed_compl 0.312194 s: subspace.coe_continuous_linear_proj_of_closed_compl 0.004904 s: category_theory.monad.algebra.no_confusion_type 0.006327 s: category_theory.monad.algebra.no_confusion 0.006034 s: category_theory.monad.algebra.mk.inj 0.005648 s: category_theory.monad.algebra.mk.inj_arrow 0.000247 s: lazy_list.pmap 0.000450 s: lazy_list.pmap._main._proof_1 0.000273 s: lazy_list.pmap._main._proof_2 0.001696 s: lazy_list.pmap._main.equations._eqn_2 0.000476 s: lazy_list.pmap.equations._eqn_2 0.000026 s: string.iterator.to_string 0.001594 s: category_theory.equivalence.congr_left_inverse 0.144947 s: has_fderiv_at.inner 0.016936 s: list.prod_range_succ 0.008020 s: list.prod_range_succ' 0.002497 s: category_theory.limits.preserves_colimit.sizeof 0.001943 s: category_theory.limits.preserves_colimit.mk.sizeof_spec 0.001079 s: mul_action_hom.to_quotient_apply 0.003256 s: tensor_product.semimodule.equations._eqn_1 0.001582 s: category_theory.iso.refl_conj 0.000230 s: real.rpow_lt_one 0.000665 s: list.take'_left 0.002440 s: subgroup.group_equiv_quotient_times_subgroup.equations._eqn_1 0.000932 s: add_hom.comp_apply 0.002040 s: nat.even_zero 0.000376 s: ordnode.valid'.drec_on 0.067647 s: times_cont_diff_at.log 0.000785 s: semilattice_inf.mk'.equations._eqn_1 0.000618 s: unique_diff_on_empty 0.024816 s: algebraic_geometry.Scheme.Spec._proof_2 0.002273 s: algebraic_geometry.Scheme.Spec 0.002012 s: algebraic_geometry.Scheme.Spec.equations._eqn_1 0.000896 s: parser.err_static.any_char 0.000520 s: parser.err_static.any_char.equations._eqn_1 0.000396 s: omega_complete_partial_order.continuous_hom.sizeof 0.000276 s: is_compactly_generated.rec_on 0.000078 s: tactic.local_cache.internal.def_local.RADIX 0.003416 s: Set.eval_mk 0.002634 s: diffeomorph.times_cont_mdiff_at_diffeomorph_comp_iff 0.011505 s: diffeomorph.times_cont_mdiff_at_trans_diffeomorph_right 0.000452 s: state_t.monad_run 0.020326 s: char_p.pi._match_1.equations._eqn_1 0.017262 s: complex.sin_pi_sub 0.000778 s: list.kextract._main.equations._eqn_1 0.000841 s: turing.TM1.stmt.load.inj 0.000265 s: turing.TM1.stmt.load.inj_arrow 0.000226 s: option.get_or_else._main.equations._eqn_2 0.000071 s: option.get_or_else.equations._eqn_2 0.000134 s: nat.perfect_iff_sum_proper_divisors 0.000126 s: array.mmap._proof_1 0.000385 s: array.mmap 0.000319 s: buffer.mmap 0.000409 s: buffer.mmap.equations._eqn_1 0.000331 s: except_t.pass_aux._sunfold 0.000944 s: free_add_semigroup.lift'._main.equations._eqn_2 0.000141 s: except.to_bool 0.003370 s: filter.tendsto_Ioc_Ici_Ioi.equations._eqn_1 0.000132 s: writer_t.listen 0.000797 s: turing.partrec_to_TM2.tr._main.equations._eqn_6 0.000300 s: turing.partrec_to_TM2.tr.equations._eqn_6 0.000118 s: turing.partrec_to_TM2.Λ'.succ.inj_eq 0.047192 s: turing.partrec_to_TM2.succ_ok 0.026220 s: clifford_algebra.as_exterior._proof_1 0.088016 s: clifford_algebra.as_exterior._proof_2 0.117289 s: clifford_algebra.as_exterior._proof_3 0.115416 s: clifford_algebra.as_exterior._proof_4 0.076670 s: clifford_algebra.as_exterior 0.012339 s: computation.lift_rel.trans 0.028426 s: lie_algebra.orthogonal.type_B 0.000609 s: Mon.colimits.prequotient.one.sizeof_spec 0.004165 s: bxor_ff 0.000030 s: vm_obj_kind.constructor.inj 0.000054 s: vm_obj_kind.constructor.inj_eq 0.007340 s: list.mem_argmin_iff 0.000816 s: list.argmin_eq_some_iff 0.003300 s: equiv.perm.cycle_factors_aux._match_1.equations._eqn_1 0.000054 s: simps_cfg.trace 0.003319 s: function.surjective.comm_monoid_with_zero._proof_3 0.000058 s: int.comm_monoid.equations._eqn_1 0.001618 s: locally_finite.realizer.sets 0.001466 s: category_theory.presieve.is_sheaf_for.extend.equations._eqn_1 0.000150 s: disjoint.sdiff_eq_right 0.001244 s: left_cancel_monoid.rec_on 0.000740 s: finset.disj_union_eq_union 0.000046 s: int.uniform_space.equations._eqn_1 0.002180 s: set.subset.eventually_le 0.004172 s: cardinal.aleph'_is_normal 0.000722 s: is_group_hom.drec_on 0.007499 s: pnat.rec_on.equations._eqn_1 0.041221 s: ideal.of_polynomial.equations._eqn_1 0.009224 s: category_theory.limits.has_zero_morphisms.rec_on 0.004990 s: nat.sub_lt_sub_add_sub 0.007067 s: emetric.diam_union' 0.073043 s: algebra.trace_algebra_map_of_basis 0.013407 s: pi.left_cancel_monoid._proof_1 0.020754 s: bundle_trivialization.disjoint_union.equations._eqn_1 0.003470 s: ordinal.lt._match_5.equations._eqn_1 0.024345 s: linear_map.ltensor_comp 0.000198 s: prod.distrib_lattice._proof_1 0.000663 s: sesq_form.has_coe_to_fun.equations._eqn_1 0.002877 s: probability_theory.indep_sets.equations._eqn_1 0.089122 s: has_strict_fderiv_at.const_cpow 0.000729 s: equiv.to_pequiv.equations._eqn_1 0.021496 s: nnreal.continuous_sqrt 0.000028 s: congr_arg_kind.heq.inj 0.000035 s: congr_arg_kind.heq.inj_arrow 0.000182 s: name.update_prefix._main.equations._eqn_2 0.000238 s: omega.nat.preterm.repr._sunfold 0.000405 s: _private.1785958385.name.components'._main.equations._eqn_3 0.000121 s: monad.cases_on 0.000593 s: pgame.equiv_decidable.equations._eqn_1 0.014617 s: algebraic_geometry.PresheafedSpace.of_restrict.equations._eqn_1 0.001600 s: pmf.of_fintype._proof_1 0.000781 s: category_theory.subobject.complete_lattice._proof_9 0.001670 s: dlist.cons._aux_1 0.000156 s: dlist.cons._main 0.000207 s: with_one.some_eq_coe 0.000017 s: int.rem 0.000132 s: int.rem.equations._eqn_4 0.000175 s: ADE_inequality.admissible_E'5 0.000020 s: ADE_inequality.admissible_E8 0.000018 s: tactic.abel.normalize_mode.raw.inj 0.001278 s: linear_ordered_add_comm_monoid.decidable_eq._default.equations._eqn_1 0.005941 s: category_theory.functor.const.op_obj_op_inv_app 0.004254 s: category_theory.limits.diagram_iso_cospan_inv_app 0.027792 s: real.cosh_square 0.005880 s: quaternion_algebra.mul_coe_eq_smul 0.002866 s: quaternion.mul_coe_eq_smul 0.000181 s: multiset.zero.equations._eqn_1 0.006899 s: submodule.to_add_subgroup.equations._eqn_1 0.000311 s: slim_check.convert_counter_example._main.equations._eqn_2 0.000147 s: slim_check.convert_counter_example.equations._eqn_2 0.000353 s: smul_comm_class.cases_on 0.000339 s: tactic.itauto.proof.or_inr.sizeof_spec 0.004302 s: hahn_series.C_mul_eq_smul 0.000063 s: auto.auto_config.max_ematch_rounds 0.000063 s: simps_cfg.type_md 0.015943 s: category_theory.functor.pushforward_homological_complex.equations._eqn_1 0.008705 s: ordnode.bounded.of_gt 0.000128 s: omega.int.preform.fresh_index.equations._eqn_1 0.051314 s: continuous_map_comm_ring.equations._eqn_1 0.000232 s: list.zip_left.equations._eqn_1 0.000541 s: lazy_list.init._match_1.equations._eqn_2 0.000038 s: slim_check.small.equations._eqn_1 0.006865 s: category_theory.category_struct.id.mono.equations._eqn_1 0.000472 s: turing.partrec_to_TM2.tr_normal._sunfold 0.127315 s: category_theory.sigma.map_comp_inv_app 0.100374 s: submodule.semimodule_set._proof_5 0.118557 s: smooth_bump_covering.has_coe_to_fun.equations._eqn_1 0.000178 s: list.nil.is_right_id 0.000131 s: list.nil.is_right_id.equations._eqn_1 0.000328 s: turing.partrec_to_TM2.tr_cont._main.equations._eqn_4 0.016069 s: linear_isometry.to_linear_map_injective 0.003617 s: linear_isometry.coe_fn_injective 0.002698 s: linear_isometry.ext 0.006252 s: linear_isometry.id_comp 0.002140 s: linear_isometry.comp_id 0.002146 s: linear_isometry.monoid._proof_2 0.000337 s: has_sup.no_confusion 0.000171 s: has_sup.mk.inj 0.009390 s: tactic_doc._4173765370 0.001056 s: galois_insertion.l_infi_of_ul_eq_self 0.052915 s: galois_coinsertion.u_supr_of_lu_eq_self 0.003407 s: pgame.domineering.shift_right.equations._eqn_1 0.000229 s: neg_add_lt_left_of_lt_add 0.000129 s: algebraic_geometry.LocallyRingedSpace.hom.inhabited.equations._eqn_1 0.010106 s: zmod.cast_add' 0.021418 s: zmod.cast_pow 0.002894 s: zmod.cast_pow' 0.001651 s: zmod.cast_int_cast 0.001989 s: zmod.cast_int_cast' 0.048590 s: char_p.sum_two_squares 0.000254 s: multiset.nodup_inter_left 0.000391 s: ring_invo.mk'._proof_3 0.014970 s: perfect_closure.int_cast 0.003443 s: interval_integral.integral_has_deriv_within_at_of_tendsto_ae_left 0.010320 s: interval_integral.integral_has_deriv_within_at_left 0.189012 s: interval_integral.deriv_within_integral_left 0.022731 s: finprod_mem_induction 0.002223 s: times_cont_diff_within_at_of_subsingleton 0.001496 s: list.map_tail 0.001912 s: linear_equiv.map_neg 0.031672 s: quaternion_algebra.conj_neg 0.084005 s: inner_right.equations._eqn_1 0.000458 s: ae_measurable.measurable_at_filter_of_mem 0.010929 s: lie_hom.has_one._proof_2 0.009334 s: continuous_linear_equiv.nnnorm_symm_pos 0.000735 s: lazy_list.traverse._main.equations._eqn_1 0.000198 s: lazy_list.traverse.equations._eqn_1 0.001607 s: add_submonoid.comap_id 0.000910 s: zsqrtd.integral_domain._proof_6 0.000186 s: pgame.short_domineering.equations._eqn_1 0.009584 s: padic_int.is_absolute_value._match_2.equations._eqn_1 0.000184 s: bucket_array.inhabited 0.000097 s: pos_num.is_one._main.equations._eqn_1 0.001810 s: option.join_eq_some 0.000293 s: option.mem_of_mem_join 0.000400 s: option.pmap_none 0.000342 s: option.pmap_some 0.004089 s: option.join_pmap_eq_pmap_join 0.001323 s: category_theory.category_struct.id.epi.equations._eqn_1 0.330987 s: linear_equiv.conj_trans 0.000176 s: psum.inhabited_left.equations._eqn_1 0.000288 s: polynomial.gal.unique_gal_one._proof_1 0.000224 s: polynomial.gal.unique_gal_one 0.000213 s: polynomial.gal.unique_gal_one.equations._eqn_1 0.000079 s: add_submonoid.inhabited 0.000340 s: add_submonoid.inhabited.equations._eqn_1 0.000081 s: empty.subsingleton.equations._eqn_1 0.000360 s: continuous.is_closed_map 0.000237 s: continuous.closed_embedding 0.005088 s: Mon_.forget_faithful 0.009648 s: category_theory.monad.no_confusion_type 0.003555 s: category_theory.monad.no_confusion 0.013069 s: category_theory.monad.mk.inj 0.006891 s: category_theory.monad.mk.inj_arrow 0.009208 s: is_basis.constr.equations._eqn_1 0.013288 s: constr_range 0.000190 s: ordnode.split_min._sunfold 0.002715 s: measure_theory.lintegral_mono_nnreal 0.000156 s: is_strict_order.drec 0.000487 s: classical.all_definable._main._proof_2 0.002876 s: classical.all_definable._main.equations._eqn_1 0.005706 s: lie_module.maximal_trivial_submodule.equations._eqn_1 0.001436 s: equiv.perm.is_three_cycle.inv_iff 0.000085 s: turing.dir.no_confusion_type 0.000185 s: turing.dir.no_confusion 0.000191 s: with_zero.semigroup.equations._eqn_1 0.000249 s: opposite.distrib.equations._eqn_1 0.000192 s: Cauchy.dense_inducing_pure_cauchy 0.000126 s: Cauchy.dense_embedding_pure_cauchy 0.001099 s: Cauchy.nonempty_Cauchy_iff 0.000049 s: Cauchy.extend._proof_1 0.000174 s: Cauchy.extend 0.000232 s: Cauchy.extend.equations._eqn_1 0.000673 s: Cauchy.extend_pure_cauchy 0.003928 s: ideal.rel_iso_of_surjective.equations._eqn_1 0.000433 s: matrix.mul.equations._eqn_1 0.000280 s: galois_insertion.strict_mono_u 0.004569 s: galois_coinsertion.strict_mono_l 0.000725 s: submonoid.map_strict_mono_of_injective 0.000219 s: pos_num.shiftl._main.equations._eqn_1 0.000047 s: pos_num.shiftl.equations._eqn_1 0.001175 s: ordnode.all_rotate_r 0.001682 s: ordnode.all_balance' 0.007326 s: continuous_map.div_coe 0.000912 s: slim_check.sampleable.bifunctor.equations._eqn_1 0.000065 s: Class.has_subset 0.000116 s: Class.has_subset.equations._eqn_1 0.004666 s: is_lawful_traversable.mk.inj 0.002071 s: is_lawful_traversable.mk.inj_arrow 0.003450 s: ideal.not_is_prime_iff 0.000193 s: bitvec.to_int._main 0.000093 s: bitvec.to_int._main.equations._eqn_1 0.000113 s: reader_t.lift.equations._eqn_1 0.002047 s: ideal.mem_span_pair 0.065151 s: span_gcd 0.000274 s: padic.has_one.equations._eqn_1 0.049724 s: continuous_multilinear_map.norm_mk_pi_algebra_fin_succ_le 0.012307 s: continuous_multilinear_map.norm_mk_pi_algebra_fin_le_of_pos 0.000186 s: has_measurable_mul.cases_on 0.015218 s: nat_algebra_subsingleton 0.000150 s: is_distinct.dcases_on 0.009378 s: ring.fractional_ideal.le_zero_iff 0.103673 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_2 0.021937 s: ordered_ring.mul_nonneg 0.038191 s: ordered_ring.mul_le_mul_of_nonneg_left 0.000900 s: add_submonoid.topological_closure.equations._eqn_1 0.000147 s: matrix.sub_down_left 0.000332 s: matrix.sub_down_left.equations._eqn_1 0.007310 s: lie_submodule.mk.inj_arrow 0.000168 s: roption.has_fix.equations._eqn_1 0.000036 s: slim_check.and_counter_example._main._proof_1 0.000540 s: slim_check.and_counter_example._main.equations._eqn_3 0.000131 s: slim_check.and_counter_example.equations._eqn_3 0.000417 s: linear_map.module.End.division_ring._proof_2 0.000214 s: linear_map.module.End.division_ring._proof_3 0.001923 s: linear_map.module.End.division_ring._proof_5 0.002141 s: linear_map.module.End.division_ring._proof_6 0.001373 s: linear_map.module.End.division_ring._proof_7 0.000326 s: linear_map.module.End.division_ring._proof_8 0.000398 s: linear_map.module.End.division_ring._proof_10 0.000193 s: linear_map.module.End.division_ring._proof_11 0.000794 s: linear_map.module.End.division_ring._proof_12 0.000602 s: linear_map.module.End.division_ring._proof_14 0.000360 s: linear_map.module.End.division_ring._proof_15 0.001238 s: linear_map.module.End.division_ring._proof_16 0.000973 s: linear_map.module.End.division_ring._proof_17 0.000301 s: linear_map.module.End.division_ring._proof_19 0.000361 s: linear_map.module.End.division_ring._proof_21 0.000472 s: linear_map.module.End.division_ring._proof_22 0.007414 s: linear_map.module.End.division_ring._proof_23 0.011901 s: is_simple_module.nontrivial 0.006015 s: linear_map.module.End.division_ring._proof_24 0.044708 s: linear_map.module.End.division_ring._proof_25 0.031681 s: linear_map.module.End.division_ring 0.030139 s: linear_map.module.End.division_ring.equations._eqn_1 0.000498 s: lists.decidable_eq 0.000459 s: lists.decidable_eq.equations._eqn_1 0.009904 s: multiplicative.comm_group.equations._eqn_1 0.003399 s: girard 0.000220 s: psigma.sizeof._sunfold 0.000440 s: turing.TM0.step._sunfold 0.000064 s: subsingleton_pempty.equations._eqn_1 0.001068 s: algebraic_geometry.LocallyRingedSpace.mk.inj 0.001383 s: algebraic_geometry.LocallyRingedSpace.mk.inj_eq 0.001211 s: measure_theory.simple_func.sum_range_measure_preimage_singleton 0.003971 s: measure_theory.simple_func.approx_on_mem 0.208180 s: _private.4200438869.convex.smul_integral_mem_of_measurable 0.000192 s: set.bij_on.equations._eqn_1 0.023070 s: mul_inv_of_self_assoc 0.036709 s: boolean_algebra.cases_on 0.000603 s: list.lookmap_nil 0.011059 s: list.perm_lookmap 0.001209 s: unique.mk.inj_eq 0.000402 s: option.traverse._main.equations._eqn_2 0.004484 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main.equations._eqn_1 0.001675 s: category_theory.preserves_fin_of_preserves_binary_and_terminal.equations._eqn_1 0.000041 s: left_cancelative 0.000138 s: left_cancelative.equations._eqn_1 0.001254 s: is_modular_lattice_iff_inf_sup_inf_assoc 0.003187 s: affine_subspace.bot_coe 0.000196 s: reader_t.orelse 0.000949 s: reader_t.alternative 0.000836 s: reader_t.alternative.equations._eqn_1 0.001574 s: equiv.prod_congr.equations._eqn_1 0.001734 s: filter.join._match_1.equations._eqn_1 0.000318 s: ring_hom.to_rat_alg_hom._proof_1 0.037412 s: ring_hom.map_rat_algebra_map 0.001274 s: ring_hom.to_rat_alg_hom 0.000809 s: multiset.filter_map.equations._eqn_1 0.000151 s: cardinal.sup.equations._eqn_1 0.010543 s: category_theory.limits.lim_lax_obj' 0.001602 s: monoid_with_zero.no_confusion 0.000024 s: nat.partrec.code.left.inj 0.000046 s: nat.partrec.code.left.inj_eq 0.000020 s: tactic.simp_config.max_steps._default 0.000041 s: tactic.simp_config.max_steps._default.equations._eqn_1 0.000615 s: submonoid.map_surjective_of_surjective 0.000525 s: is_dedekind_domain_dvr.is_noetherian_ring 0.002320 s: fin.coe_cast 0.082580 s: times_cont_diff.sin 0.000372 s: quot.lift_on₂ 0.000221 s: computation.equiv.refl 0.000478 s: computation.equiv.equivalence 0.001302 s: rbnode.mem._main.equations._eqn_2 0.000178 s: rbnode.mem.equations._eqn_2 0.028964 s: has_strict_fderiv_at.sum 0.029796 s: has_strict_deriv_at.sum 0.000306 s: int.add_le_of_le_sub_left 0.000185 s: Top.local_predicate.has_sizeof_inst 0.000155 s: free_ring.comm_ring._proof_1 0.000069 s: free_ring.comm_ring._proof_2 0.000058 s: free_ring.comm_ring._proof_3 0.004721 s: free_ring.comm_ring._proof_4 0.001324 s: free_ring.comm_ring._proof_5 0.000584 s: free_ring.comm_ring._proof_6 0.000104 s: free_ring.comm_ring._proof_8 0.000074 s: free_ring.comm_ring._proof_11 0.000285 s: free_ring.comm_ring._proof_12 0.000224 s: free_ring.comm_ring._proof_13 0.000512 s: free_ring.subsingleton_equiv_free_comm_ring 0.002490 s: free_ring.comm_ring._proof_16 0.002011 s: free_ring.comm_ring 0.002715 s: continuous_linear_map.has_sub.equations._eqn_1 0.013100 s: continuous_linear_map.op_norm_subsingleton 0.004204 s: linear_isometry_equiv.coe_to_linear_isometry 0.002834 s: linear_isometry_equiv.apply_symm_apply 0.030316 s: continuous_linear_map.op_norm_comp_linear_isometry_equiv 0.011028 s: monoid_hom.lift_of_right_inverse.equations._eqn_1 0.002239 s: sym2.map_comp 0.000342 s: tactic.ring2.csring_expr.eval.equations._eqn_5 0.003216 s: matrix.reindex_trans 0.307955 s: continuous_linear_map.norm_compLpL_le 0.000918 s: d_array.rev_iterate_aux._main._proof_1 0.026671 s: lex_linear_order._proof_3 0.001831 s: nonpos_of_neg_nonneg 0.000125 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.rw_0.inj_arrow 0.000323 s: filter.is_antimono_basis.rec_on 0.000094 s: monad_fail.fail 0.000187 s: monad_fail_lift 0.000169 s: monad_fail_lift.equations._eqn_1 0.001102 s: mzip_with._main.equations._eqn_3 0.053080 s: category_theory.functor.map_cocone_whisker._proof_1 0.040237 s: category_theory.functor.map_cocone_whisker 0.036760 s: category_theory.functor.map_cocone_whisker.equations._eqn_1 0.009072 s: finset.inf_union 0.000267 s: _private.3481786699.inv._main.equations._eqn_1 0.000066 s: _private.1785958385.name.components'.equations._eqn_3 0.001310 s: ordnode.drop_aux._main.equations._eqn_2 0.002190 s: is_linear_map.mk'.equations._eqn_1 0.000378 s: has_finite_inter.rec_on 0.001356 s: category_theory.cofinal.colimit_cocone_of_comp.equations._eqn_1 0.000936 s: category_theory.discrete.nat_iso.equations._eqn_1 0.000789 s: ordnode.bounded.dual_iff 0.000072 s: has_norm.cases_on 0.000061 s: has_norm.no_confusion_type 0.000202 s: has_norm.no_confusion 0.005781 s: subsemiring.gi.equations._eqn_1 0.004921 s: is_bounded_bilinear_map.drec_on 0.000304 s: composition_card 0.025458 s: formal_multilinear_series.comp_coeff_zero 0.007074 s: formal_multilinear_series.comp_coeff_zero' 0.019982 s: formal_multilinear_series.comp_coeff_one 0.022256 s: formal_multilinear_series.right_inv._main.equations._eqn_2 0.020839 s: formal_multilinear_series.right_inv.equations._eqn_2 0.005775 s: continuous_linear_equiv.coe_apply 0.002855 s: continuous_linear_equiv.map_neg 0.113625 s: formal_multilinear_series.comp_right_inv 0.018543 s: multilinear_map.map_sum 0.005141 s: continuous_multilinear_map.map_sum 0.043133 s: composition.size_up_to_size_up_to_add 0.152457 s: formal_multilinear_series.comp_assoc 0.008843 s: formal_multilinear_series.left_inv._main.equations._eqn_1 0.004620 s: formal_multilinear_series.left_inv.equations._eqn_1 0.018337 s: formal_multilinear_series.left_inv.equations._eqn_2 0.005411 s: finset.sum_to_finset_eq_subtype 0.005453 s: continuous_multilinear_map.comp_along_composition_apply 0.143589 s: formal_multilinear_series.left_inv_comp 0.050313 s: formal_multilinear_series.id_comp 0.049203 s: _private.1208591947.left_inv_eq_right_inv_aux 0.017699 s: subsemiring.closure_Union 0.001679 s: algebra.tensor_product.mul_aux.equations._eqn_1 0.005883 s: category_theory.limits.fork.is_limit.mk'.equations._eqn_1 0.000072 s: denumerable.plift 0.004852 s: filter.bounded_distrib_lattice.equations._eqn_1 0.003168 s: pth_root_eq_iff 0.001624 s: category_theory.liftable_cocone.mk.sizeof_spec 0.000272 s: one_hom.no_confusion_type 0.000387 s: one_hom.no_confusion 0.000413 s: one_hom.mk.inj 0.000217 s: one_hom.mk.inj_arrow 0.011962 s: interval_integral.integral_has_strict_deriv_at_right 0.005198 s: interval_integral.integral_has_strict_deriv_at_left 0.001248 s: interval_integral.integral_has_deriv_at_left 0.000930 s: interval_integral.deriv_integral_left 0.000389 s: filter.germ.semilattice_inf_bot._proof_3 0.070891 s: is_precomplete.drec 0.000191 s: tree.no_confusion_type 0.000588 s: tree.no_confusion 0.000295 s: tree.node.inj 0.000149 s: category_theory.limits.has_finite_coproducts.cases_on 0.014679 s: lie_group.rec_on 0.000512 s: encodable.encodable_of_list.equations._eqn_1 0.000128 s: ordnode.find_max._sunfold 0.000087 s: psigma.skip_left 0.001548 s: sum.compact_space.equations._eqn_1 0.000421 s: computation.results.equations._eqn_1 0.002699 s: add_subgroup.normal.drec_on 0.002185 s: filter.eventually_eq.diff 0.000400 s: pi.can_lift.equations._eqn_1 0.000284 s: galois_connection.equations._eqn_1 0.001289 s: absorbent 0.004493 s: inv_smul_eq_iff' 0.034635 s: mem_inv_smul_set_iff 0.027950 s: mem_smul_set_iff_inv_smul_mem 0.102510 s: absorbent_nhds_zero 0.000331 s: function.mem_pts_of_period 0.016768 s: filter.infi_principal_finite 0.038398 s: pi.semimodule'._proof_2 0.046962 s: category_theory.unit_transfer_nat_trans 0.009612 s: monoid_hom.map_units_inv 0.016013 s: ring_hom.map_units_inv 0.000701 s: free_group.sum.of 0.000111 s: finset.singleton_ne_empty 0.042342 s: mv_polynomial.point_to_point 0.041652 s: mv_polynomial.point_to_point.equations._eqn_1 0.007204 s: nat.digits_aux._main._pack.equations._eqn_1 0.000082 s: nat.digits_aux._main.equations._eqn_1 0.000100 s: list.reverse_core._sunfold 0.000851 s: denumerable.prod_nat_of_nat 0.001416 s: rack.envel_group.div_inv_monoid._match_1.equations._eqn_1 0.007591 s: function.injective.cancel_monoid_with_zero._proof_8 0.000270 s: turing.TM0to1.Λ'.normal.sizeof_spec 0.000569 s: algebraic_geometry.LocallyRingedSpace.Γ.equations._eqn_1 0.047251 s: abs_lt_abs_of_sqr_lt_sqr 0.109576 s: abs_lt_of_sqr_lt_sqr 0.001257 s: circle_deg1_lift.map_add_nat 0.000288 s: rack.pre_envel_group_rel'.symm.inj_arrow 0.000438 s: equiv.add_comm_group._proof_4 0.000812 s: witt_vector.equiv._proof_2 0.000147 s: order.ideal.order_bot._proof_1 0.000222 s: order.ideal.order_bot._proof_2 0.010010 s: order.ideal.order_bot._proof_3 0.006343 s: order.ideal.order_bot._proof_5 0.000985 s: order.ideal.order_bot 0.001414 s: subring.to_ordered_comm_ring._proof_6 0.000709 s: category_theory.with_initial.quiver.hom.unique.equations._eqn_1 0.001511 s: category_theory.is_iso.of_iso.equations._eqn_1 0.000059 s: rbmap.to_value 0.000153 s: rack.pre_envel_group_rel'.refl.inj 0.000089 s: rack.pre_envel_group_rel'.refl.inj_eq 0.001873 s: category_theory.subobject.underlying.equations._eqn_1 0.000085 s: filter.has_bind.equations._eqn_1 0.002330 s: nat.test_bit_bitwise 0.000150 s: nat.test_bit_land 0.003119 s: abs_neg_one_pow 0.000444 s: monad_io_environment.get_cwd 0.000030 s: monad_io_environment_impl 0.000025 s: io.env.get_cwd 0.000060 s: io.env.get_cwd.equations._eqn_1 0.002166 s: monotone_and 0.000243 s: multiplicative.ordered_cancel_comm_monoid._proof_2 0.000688 s: _nest_1_1.tactic.tactic_script.work.inj_eq 0.001297 s: category_theory.with_terminal.quiver.hom.unique._match_1.equations._eqn_1 0.001325 s: ordinal.partial_order._match_13.equations._eqn_1 0.000398 s: list.span._main.equations._eqn_1 0.000909 s: option.rel.dcases_on 0.026799 s: pi.semimodule'._proof_1 0.014217 s: pi.semimodule' 0.012091 s: pi.semimodule'.equations._eqn_1 0.005243 s: subgroup.has_inf._match_1.equations._eqn_1 0.000314 s: rbnode.get_color._main.equations._eqn_2 0.000528 s: function.embedding.trans.equations._eqn_1 0.037679 s: cont_t.is_lawful_monad 0.000270 s: list.repr_aux._sunfold 0.000456 s: add_left_cancel_semigroup.rec_on 0.007557 s: affine_equiv.group._proof_4 0.017165 s: nnreal.densely_ordered.equations._eqn_1 0.005780 s: affine_span_mono 0.000965 s: linear_map.inr.equations._eqn_1 0.000187 s: continuous_on_pow 0.001859 s: witt_vector.lift.equations._eqn_1 0.016089 s: filter.push_pull 0.007236 s: filter.push_pull' 0.002327 s: inducing.is_compact_iff 0.000607 s: enat.with_top_equiv_symm_top 0.000217 s: nat.digits_one 0.000060 s: pos_num.cmp.equations._eqn_2 0.016649 s: slim_check.total_function.shrink._match_1._proof_1 0.003373 s: slim_check.total_function.shrink._match_1.equations._eqn_1 0.000148 s: wseq.productive.rec_on 0.000651 s: quadratic_form.to_fun_eq_apply 0.000783 s: ring_equiv.refl.equations._eqn_1 0.001659 s: bool.band_intro 0.002026 s: parser.static.mmap._sunfold 0.038784 s: times_cont_diff.ccos 0.006464 s: filter.tendsto_at_bot' 0.000085 s: format.color.to_string.equations._eqn_6 0.023812 s: category_theory.abelian.epi_pullback_of_epi_g.equations._eqn_1 0.000428 s: AddGroup.forget_preserves_limits._proof_1 0.020193 s: AddGroup.forget_preserves_limits 0.015939 s: AddGroup.forget_preserves_limits.equations._eqn_1 0.004197 s: linear_isometry.injective 0.060372 s: continuous_linear_map.to_normed_algebra.equations._eqn_1 0.000544 s: bernstein.equations._eqn_1 0.000326 s: Mon.colimits.colimit_setoid.equations._eqn_1 0.000381 s: typevec.last_append1 0.000083 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.nil_1.inj_eq 0.012878 s: category_theory.sigma.desc_map_mk 0.000706 s: add_submonoid.map_le_of_le_comap 0.009138 s: category_theory.image_to_kernel_map_comp_iso 0.000464 s: measure_theory.measure.has_coe_to_fun.equations._eqn_1 0.000267 s: hyperreal.infinite_pos.equations._eqn_1 0.048175 s: continuous_linear_map.restrict_scalars_isometry_to_linear_map 0.008229 s: quadratic_form.isometry.symm._proof_2 0.002577 s: quadratic_form.isometry.symm._proof_4 0.007539 s: quadratic_form.isometry.symm._proof_5 0.003941 s: quadratic_form.isometry.symm 0.000521 s: heq_of_eq_rec_right 0.000656 s: category_theory.full_subcategory.faithful.equations._eqn_1 0.000180 s: is_simple_lattice.complete_boolean_algebra._proof_2 0.000388 s: is_simple_lattice.complete_boolean_algebra._proof_4 0.000421 s: is_simple_lattice.complete_boolean_algebra._proof_6 0.000320 s: is_simple_lattice.complete_boolean_algebra._proof_7 0.000509 s: is_simple_lattice.complete_boolean_algebra._proof_8 0.000402 s: is_simple_lattice.complete_boolean_algebra._proof_9 0.001733 s: is_simple_lattice.complete_boolean_algebra._proof_12 0.000396 s: is_simple_lattice.complete_boolean_algebra._proof_15 0.002446 s: is_simple_lattice.complete_boolean_algebra._proof_17 0.000411 s: is_simple_lattice.complete_boolean_algebra._proof_19 0.000357 s: is_simple_lattice.complete_boolean_algebra._proof_20 0.000304 s: is_simple_lattice.complete_boolean_algebra._proof_22 0.033923 s: is_simple_lattice.complete_boolean_algebra._proof_24 0.185634 s: is_simple_lattice.complete_boolean_algebra 0.170712 s: is_simple_lattice.complete_boolean_algebra.equations._eqn_1 0.173149 s: formal_multilinear_series.shift.equations._eqn_1 0.015198 s: continuous_multilinear_map.curry_sum_equiv._proof_1 0.024001 s: continuous_multilinear_map.curry_sum_equiv._proof_3 0.016968 s: continuous_multilinear_map.curry_sum_equiv._proof_4 0.164677 s: continuous_multilinear_map.curry_sum_equiv._proof_7 0.246356 s: continuous_multilinear_map.curry_sum_equiv._proof_8 0.048114 s: continuous_multilinear_map.curry_sum_equiv._proof_9 0.123217 s: continuous_multilinear_map.curry_sum_equiv._proof_10 0.195571 s: continuous_multilinear_map.curry_sum_equiv._proof_12 0.190435 s: continuous_multilinear_map.curry_sum_equiv 0.029702 s: generalized_boolean_algebra.mk.sizeof_spec 0.000195 s: submonoid.localization_map.has_sizeof_inst 0.002218 s: stream.even_cons_cons 0.000311 s: AddCommGroup.category_theory.limits.has_finite_biproducts 0.000216 s: AddCommGroup.category_theory.limits.has_finite_biproducts.equations._eqn_1 0.000102 s: real.lattice.equations._eqn_1 0.000571 s: stream.homomorphism 0.003900 s: ring_hom.to_rat_alg_hom.equations._eqn_1 0.000701 s: znum.div._main.equations._eqn_7 0.000072 s: znum.div.equations._eqn_7 0.001392 s: real.cosh_add_sinh 0.000738 s: wseq.scanl._match_1 0.000289 s: wseq.scanl._match_2 0.000217 s: wseq.scanl 0.000262 s: wseq.scanl.equations._eqn_1 0.000622 s: Top.presheaf.stalk.equations._eqn_1 0.000050 s: unsigned.has_add 0.000803 s: order_dual.semilattice_inf_bot._proof_7 0.001342 s: setoid.ker_lift_injective 0.002875 s: setoid.quotient_ker_equiv_range._match_1 0.005091 s: setoid.quotient_ker_equiv_range._proof_2 0.001166 s: setoid.quotient_ker_equiv_range 0.002198 s: linear_order.decidable_eq._default.equations._eqn_1 0.001815 s: order_iso.coe_refl 0.000828 s: polynomial.rec_on_horner._main._pack._proof_2 0.000581 s: polynomial.rec_on_horner._main._pack._proof_3 0.000610 s: polynomial.rec_on_horner._main._pack._proof_4 0.002656 s: polynomial.rec_on_horner._main._pack._proof_5 0.006841 s: polynomial.rec_on_horner._main._pack._proof_6 0.000334 s: polynomial.rec_on_horner._main._pack._proof_7 0.000345 s: polynomial.rec_on_horner._main._pack._proof_8 0.001175 s: polynomial.rec_on_horner._main._pack._proof_9 0.015455 s: polynomial.rec_on_horner._main._pack.equations._eqn_1 0.005383 s: polynomial.rec_on_horner._main.equations._eqn_1 0.009698 s: category_theory.is_equivalence.cases_on 0.007763 s: category_theory.is_equivalence.no_confusion_type 0.007700 s: category_theory.is_equivalence.no_confusion 0.016212 s: category_theory.is_equivalence.mk'.inj 0.014381 s: category_theory.is_equivalence.mk'.inj_arrow 0.000226 s: relator.rel_or 0.009432 s: list.rel_mem 0.000275 s: nat.dvd_of_pow_dvd 0.000426 s: set.finite.insert 0.001809 s: set.to_finset_insert 0.066622 s: subalgebra.to_submodule_equiv.equations._eqn_1 0.000132 s: char.is_upper.equations._eqn_1 0.008505 s: locally_compact_space.prod._match_1.equations._eqn_1 0.002322 s: nat.arithmetic_function.inv_zeta_unit 0.000279 s: topological_space.generate_from.equations._eqn_1 0.000150 s: rbnode.find._match_1.equations._eqn_3 0.006969 s: hyperreal.infinite_neg_mul_of_not_infinitesimal_pos_infinite_neg 0.030938 s: category_theory.under_to_algebra.equations._eqn_1 0.000401 s: fin.has_variable_names 0.006304 s: nat.primrec'.vec_iff 0.008655 s: category_theory.limits.cocone.mk.inj_eq 0.001441 s: prime_multiset.coe_nat_of_prime 0.000116 s: category_theory.thin_skeleton.is_skeleton_of_inhabited._proof_3 0.000064 s: tactic.dunfold_config.inhabited 0.002793 s: finsupp.map_domain_comap_domain 0.528103 s: minpoly.gcd_domain_eq_field_fractions 0.353036 s: minpoly.gcd_domain_dvd 0.006423 s: subsemiring.mem_inf 0.000168 s: string.to_list._sunfold 0.049034 s: times_cont_diff_on_iff_continuous_on_differentiable_on_deriv 0.002265 s: list.is_lawful_singleton.equations._eqn_1 0.007198 s: filter.frequently_supr 0.000024 s: computability.Γ'.blank.inj 0.000443 s: convex_cone.has_mem.equations._eqn_1 0.002851 s: Module.category_theory.abelian._proof_2 0.002658 s: homeomorph.shear_add_right_coe 0.001367 s: linear_ordered_comm_group_with_zero.div._default.equations._eqn_1 0.000136 s: rel_hom.id 0.000120 s: rel_hom.id.equations._eqn_1 0.001159 s: free_add_magma.monad.equations._eqn_1 0.005352 s: sum.lex.is_well_order.equations._eqn_1 0.000796 s: multiset.foldl_zero 0.001390 s: add_comm_group.direct_limit.add_comm_group 0.000749 s: add_comm_group.direct_limit.inhabited 0.000952 s: add_comm_group.direct_limit.inhabited.equations._eqn_1 0.006626 s: enat.coe_hom.equations._eqn_1 0.000102 s: pgame.short_of_lists 0.001753 s: is_min_filter.max 0.000347 s: is_local_min_on.max 0.000128 s: option.get_or_else._main.equations._eqn_1 0.000046 s: option.get_or_else.equations._eqn_1 0.002190 s: category_theory.SheafOfTypes_to_presheaf_map 0.002310 s: category_theory.triangulated.triangle_morphism.rotate_hom₁ 0.000115 s: functor.add_const.functor 0.001748 s: functor.const.is_lawful_functor 0.000115 s: functor.add_const.is_lawful_functor 0.000111 s: functor.add_const.is_lawful_functor.equations._eqn_1 0.005290 s: submodule.mem_pi 0.006716 s: submodule.infi_comap_proj 0.000043 s: vector.elim._proof_2 0.001186 s: ulift.add_comm_semigroup._proof_1 0.003175 s: ulift.add_comm_semigroup._proof_2 0.000307 s: ulift.add_comm_semigroup 0.000310 s: ulift.add_comm_semigroup.equations._eqn_1 0.000304 s: fin_enum.pfun_fin_enum._proof_2 0.001479 s: subgroup.le_normalizer 0.084611 s: _private.3499387053.calc_eval_z'._match_1.equations._eqn_1 0.009731 s: category_theory.fin_category.cases_on 0.002179 s: category_theory.fin_category.no_confusion_type 0.002036 s: category_theory.fin_category.no_confusion 0.002541 s: category_theory.fin_category.mk.inj 0.001732 s: category_theory.fin_category.mk.inj_arrow 0.000078 s: has_fix.cases_on 0.028380 s: lie_equiv.of_subalgebra._proof_3 0.000592 s: sub_mul_action.mem_carrier 0.000402 s: ctop.realizer.mk.inj_arrow 0.000324 s: znum.pred._main.equations._eqn_2 0.000033 s: znum.pred.equations._eqn_2 0.000191 s: valuation.is_equiv.of_eq 0.000689 s: add_valuation.is_equiv.of_eq 0.006257 s: gal_X_sub_C_is_solvable 0.075873 s: solvable_by_rad.P 0.076285 s: solvable_by_rad.P.equations._eqn_1 0.070123 s: gal_is_solvable_of_splits 0.767363 s: polynomial.gal.restrict_prod_injective 0.013831 s: solvable_prod 0.002863 s: gal_mul_is_solvable 0.757566 s: solvable_by_rad.induction2 0.000798 s: set.pair_eq_singleton 0.013047 s: solvable_by_rad.induction1 0.002459 s: multiset.induction_on' 0.000367 s: gal_one_is_solvable 0.167012 s: gal_prod_is_solvable 0.555896 s: solvable_by_rad.induction3 0.158683 s: solvable_by_rad.is_solvable 0.020279 s: polynomial.trailing_degree_neg 0.001099 s: subfield.inclusion._proof_1 0.000409 s: ordinal.deriv_succ 0.000372 s: ordinal.deriv_limit 0.002824 s: ordinal.deriv_is_normal 0.005586 s: polynomial.nat_degree_C_mul_le 0.011952 s: polynomial.nat_degree_C_mul_eq_of_mul_eq_one 0.004896 s: parser.prog.bind.equations._eqn_1 0.004035 s: multiset.eq_of_mem_map_const 0.034327 s: module.direct_limit.equations._eqn_1 0.001092 s: dense_embedding.subtype_emb._proof_1 0.000409 s: dense_embedding.subtype_emb 0.008987 s: add_equiv.add_submonoid_congr.equations._eqn_1 0.005883 s: with_zero.canonically_ordered_add_monoid._match_1 0.001099 s: con.mk'_ker 0.000289 s: prod.semilattice_inf_bot._proof_1 0.000370 s: add_commute.units_of_coe 0.031788 s: is_scalar_tower.subsemiring 0.034141 s: is_scalar_tower.subsemiring.equations._eqn_1 0.000111 s: slim_check.testable.sizeof 0.000601 s: slim_check.testable.mk.sizeof_spec 0.000442 s: uniform_space.of_core_eq_to_core 0.000680 s: mv_power_series.X_def 0.000059 s: lazy_list.decidable_eq 0.000584 s: list.lookup_kerase 0.000511 s: alist.lookup_erase 0.000166 s: rbnode.rev_fold.equations._eqn_3 0.008326 s: category_theory.monoidal.to_transported._proof_3 0.017327 s: normed_group_hom.ratio_le_op_norm 0.045226 s: normed_group_hom.norm_id_of_nontrivial_seminorm 0.006349 s: normed_group_hom.norm_id 0.004070 s: function.surjective.smul_with_zero._proof_2 0.002220 s: function.surjective.smul_with_zero 0.000555 s: pi.ordered_cancel_add_comm_monoid._proof_11 0.000698 s: prod.bounded_distrib_lattice._proof_8 0.000244 s: quiver.has_reverse.sizeof 0.002333 s: tactic_doc._3522415473 0.001194 s: order.mem_ideal_of_cofinals 0.000130 s: nat.lt.equations._eqn_1 0.001171 s: comm_group.div._default.equations._eqn_1 0.003716 s: subsemiring.coe_add 0.001956 s: category_theory.limits.is_limit_of_has_product_of_preserves_limit.equations._eqn_1 0.000502 s: left_cancel_semigroup.no_confusion 0.000773 s: left_cancel_semigroup.mk.inj 0.000682 s: left_cancel_semigroup.mk.inj_arrow 0.021060 s: submodule.complete_lattice.equations._eqn_1 0.000196 s: parse_result.sizeof 0.000135 s: parse_result.done.sizeof_spec 0.000347 s: monoid_algebra.comm_ring._proof_9 0.006391 s: category_theory.limits.has_zero_object.zero_morphisms_of_zero_object._proof_1 0.000567 s: slim_check.sigma.sampleable.equations._eqn_1 0.003255 s: category_theory.monad.algebra_functor_of_monad_hom_obj_a 0.000197 s: add_con.prod._proof_1 0.000419 s: add_con.prod 0.000873 s: add_monoid_hom.mrange_top_iff_surjective 0.000495 s: add_monoid_hom.mrange_top_of_surjective 0.000672 s: add_submonoid.mrange_snd 0.011277 s: division_ring.to_group_with_zero.equations._eqn_1 0.010893 s: topological_space.opens.le_supr_apply_mk 0.000853 s: add_con.ker.equations._eqn_1 0.000322 s: fin_enum.of_list.equations._eqn_1 0.100788 s: times_cont_diff.sinh 0.000662 s: set.bij_on.to_local_equiv_apply 0.000221 s: relator.bi_unique.dcases_on 0.014102 s: category_theory.is_reflexive_pair.drec 0.004049 s: linear_ordered_comm_ring.decidable_lt._default.equations._eqn_1 0.000082 s: measure_theory.measure.has_sizeof_inst 0.000123 s: measure_theory.measure_space.sizeof 0.000324 s: measure_theory.measure_space.mk.sizeof_spec 0.002359 s: has_deriv_within_at_fpow 0.000181 s: prime_multiset.has_sub.equations._eqn_1 0.062720 s: continuous_map.coe_to_Lp 0.014906 s: direct_sum.single_eq_lof 0.000244 s: boolean_algebra.is_complemented.equations._eqn_1 0.000558 s: ordinal.monoid._match_6.equations._eqn_1 0.000321 s: initial_seg.rel_embedding.has_coe.equations._eqn_1 0.002658 s: model_with_corners.mk.inj_arrow 0.000983 s: asymptotics.is_O_with_principal 0.000048 s: quandle.dihedral.equations._eqn_1 0.000083 s: znum.has_one.equations._eqn_1 0.001084 s: measure_theory.is_add_left_invariant_neg 0.041327 s: slim_check.nat_ge.sampleable._match_1 0.007239 s: slim_check.nat_ge.sampleable._match_2 0.000182 s: slim_check.nat_ge.sampleable 0.000197 s: slim_check.nat_ge.sampleable.equations._eqn_1 0.000360 s: option.choice_eq_none 0.000495 s: lie_module.is_trivial.drec_on 0.004243 s: finset.prod_insert_of_eq_one_if_not_mem 0.000555 s: finset.prod_insert_one 0.003022 s: abelianization.lift.unique 0.000099 s: omega.nat.nonneg_consts_core.equations._eqn_2 0.016020 s: direct_sum.gcomm_monoid.of_submodules.equations._eqn_1 0.004094 s: measure_theory.measure.quasi_measure_preserving.comp 0.000318 s: monoid.in_closure.rec_on 0.000822 s: set.mul_indicator_rel_mul_indicator 0.000046 s: tactic.ring_exp.ex_type.prod.inj_eq 0.001240 s: smooth_within_at.equations._eqn_1 0.001256 s: is_max_filter.min 0.000309 s: is_max_on.min 0.000696 s: rack.pre_envel_group_rel'.assoc.sizeof_spec 0.002730 s: function.mul_support_prod_mk 0.000121 s: Set.subset.equations._eqn_1 0.001349 s: normed_group_hom.coe_mk_normed_group_hom' 0.000759 s: function.semiconj.maps_to_preimage 0.001259 s: multiset.pmap.equations._eqn_1 0.008216 s: nat.div_div_div_eq_div 0.001635 s: category_theory.limits.is_limit.of_point_iso.equations._eqn_1 0.000748 s: continuous_linear_map.linear_map.has_coe.equations._eqn_1 0.000219 s: snum.rec'.equations._eqn_1 0.000348 s: abs_pos_of_pos 0.016052 s: int.nat_abs_euclidean_domain_gcd 0.076640 s: real.has_strict_deriv_at_sinh 0.306842 s: has_strict_fderiv_at.sinh 0.000261 s: complex.cpow_eq_pow 0.034078 s: bot.is_cyclic 0.001231 s: opposite.add_left_cancel_semigroup._proof_2 0.000471 s: state_t.monad_run.equations._eqn_1 0.005295 s: set.indicator_finset_sum 0.003432 s: exists_ne_zero_of_finsum_mem_ne_zero 0.000319 s: monad_functor_t.sizeof 0.000106 s: monad_functor_t.has_sizeof_inst 0.000153 s: totally_disconnected_space.cases_on 0.000158 s: nat.partrec.code.pair.inj_arrow 0.002198 s: pi.monoid_with_zero._proof_3 0.000364 s: order.cofinal.inhabited._proof_1 0.009091 s: topological_fiber_bundle_core.mk.inj_eq 0.001755 s: set.image2_left 0.001004 s: lazy_list.filter._main.equations._eqn_2 0.000323 s: le_inv' 0.000201 s: list.zip_with._sunfold 0.000051 s: bounded_distrib_lattice.lt._default 0.000025 s: boolean_algebra.core.lt._default 0.053283 s: algebra.tensor_product.alg_equiv_of_linear_equiv_triple_tensor_product._proof_5 0.009822 s: dmatrix.map_map 0.001606 s: mul_inv_eq_of_eq_mul 0.001105 s: polynomial.nat_degree_restriction 0.000335 s: additive.linear_ordered_add_comm_group._proof_4 0.000286 s: finset.gcd.equations._eqn_1 0.004572 s: category_theory.limits.types.colimit_cocone_is_colimit._match_2.equations._eqn_1 0.000054 s: nat.partrec.code.zero.sizeof_spec 0.007164 s: complex.of_real.equations._eqn_1 0.023404 s: abs_add_eq_add_abs_le 0.008190 s: abs_add_eq_add_abs_iff 0.000138 s: tactic.apply_cfg.cases_on 0.000102 s: tactic.apply_cfg.no_confusion_type 0.000304 s: tactic.apply_cfg.no_confusion 0.000447 s: tactic.apply_cfg.mk.inj 0.000163 s: is_local_min.equations._eqn_1 0.001836 s: quaternion.coe_zero 0.001150 s: subring.sizeof 0.000122 s: monad_io_random.sizeof 0.002421 s: category_theory.adjunction.equiv_homset_left_of_nat_iso.equations._eqn_1 0.000315 s: submonoid.of 0.008782 s: polynomial.lcoeff.equations._eqn_1 0.003514 s: abs_sqr 0.000707 s: linear_recurrence.eq_mk_of_is_sol_of_eq_init' 0.000111 s: pos_num.is_one._main.equations._eqn_2 0.001766 s: Algebra.forget₂_Module_preserves_limits.equations._eqn_1 0.000930 s: typevec.last.inhabited.equations._eqn_1 0.000810 s: pnat.gcd_rel_left' 0.332879 s: linear_equiv.dual_map_symm 0.011671 s: category_theory.limits.is_iso_zero_equiv_iso_zero._proof_2 0.002126 s: category_theory.limits.is_iso_zero_equiv_iso_zero 0.000360 s: category_theory.limits.is_iso_zero_self_equiv_iso_zero 0.000182 s: is_incomp_trans.rec_on 0.002664 s: fin_congr_symm_apply_coe 0.000217 s: turing.partrec_to_TM2.init 0.000354 s: turing.partrec_to_TM2.tr_normal._main.equations._eqn_1 0.000046 s: turing.partrec_to_TM2.tr_normal.equations._eqn_1 0.000427 s: turing.partrec_to_TM2.tr._main.equations._eqn_4 0.000383 s: turing.partrec_to_TM2.tr.equations._eqn_4 0.000225 s: turing.partrec_to_TM2.Λ'.ret.inj_eq 0.000115 s: turing.partrec_to_TM2.tr_cont_stack.equations._eqn_1 0.000732 s: turing.partrec_to_TM2.cont_stack._main.equations._eqn_2 0.000098 s: turing.partrec_to_TM2.cont_stack.equations._eqn_2 0.000848 s: turing.partrec_to_TM2.tr_llist._main.equations._eqn_2 0.000064 s: turing.partrec_to_TM2.tr_llist.equations._eqn_2 0.034519 s: turing.partrec_to_TM2.tr_normal_respects 0.000840 s: turing.partrec_to_TM2.tr_init 0.000046 s: vm_decl_kind.bytecode.sizeof_spec 0.000234 s: is_alg_closed.cases_on 0.005634 s: measurable_equiv.coe_symm_mk 0.000228 s: list.mmap_upper_triangle.equations._eqn_1 0.002170 s: finset.induction_on_union 0.001312 s: separated.symm 0.001245 s: separated.empty_right 0.001865 s: set.disjoint_of_subset_right 0.002123 s: separated.union_left 0.004329 s: finset_disjoint_finset_opens_of_t2 0.000794 s: point_disjoint_finset_opens_of_t2 0.001757 s: category_theory.limits.pushout_cocone.mk_inl 0.005745 s: min_max_distrib_left 0.000300 s: is_metric_separated.finset_Union_left 0.000194 s: ctop.realizer.nhds._proof_1 0.000689 s: ctop.realizer.nhds._proof_3 0.005508 s: ctop.realizer.nhds._proof_4 0.001399 s: ctop.realizer.nhds 0.001557 s: ctop.realizer.nhds.equations._eqn_1 0.000785 s: bounded_continuous_function.normed_algebra._proof_2 0.002126 s: bounded_continuous_function.norm_const_le 0.001117 s: bounded_continuous_function.norm_const_eq 0.005248 s: bounded_continuous_function.normed_algebra._proof_3 0.003288 s: bounded_continuous_function.normed_algebra 0.000222 s: composition_equiv.equations._eqn_1 0.004064 s: finsupp.prod_add_index' 0.001355 s: slim_check.or_testable._match_1.equations._eqn_3 0.003954 s: comm_ring.rec_on 0.007058 s: category_theory.limits.of_ι_congr.equations._eqn_1 0.000053 s: bxor._sunfold 0.000080 s: LinearOrder.linear_order.to_partial_order.category_theory.bundled_hom.parent_projection 0.000607 s: NonemptyFinLinOrd.large_category 0.000353 s: ulift.nonempty_fin_lin_ord._proof_3 0.000261 s: ulift.nonempty_fin_lin_ord._proof_4 0.000755 s: ulift.nonempty_fin_lin_ord._proof_5 0.000404 s: ulift.nonempty_fin_lin_ord._proof_6 0.008499 s: ulift.nonempty_fin_lin_ord._match_1 0.000815 s: ulift.nonempty_fin_lin_ord._proof_9 0.004978 s: ulift.nonempty_fin_lin_ord 0.000112 s: fin.nonempty_fin_lin_ord._proof_1 0.000075 s: fin.nonempty_fin_lin_ord._proof_2 0.000271 s: fin.nonempty_fin_lin_ord._proof_5 0.002094 s: fin.nonempty_fin_lin_ord 0.020381 s: simplex_category.skeletal_functor._proof_3 0.001173 s: nat.le_find_greatest 0.000188 s: list.nil_suffix 0.000193 s: free_semigroup.lift.equations._eqn_1 0.000024 s: string.has_repr 0.000167 s: snum.not._sunfold 0.000489 s: nat.arithmetic_function.int_coe.equations._eqn_1 0.000024 s: binder_info.inst_implicit.inj 0.000344 s: pos_num.nat_size._main.equations._eqn_2 0.000044 s: pos_num.nat_size.equations._eqn_2 0.001173 s: free_magma.repr._main.equations._eqn_2 0.000212 s: num.cmp._main.equations._eqn_4 0.000036 s: num.cmp.equations._eqn_4 0.000133 s: omega.nat.bools.or._sunfold 0.000347 s: mul_one_class.no_confusion 0.000755 s: measure_theory.simple_func.bind_apply 0.001638 s: category_theory.functor.map_Mat_id._proof_1 0.042602 s: category_theory.functor.map_Mat_id._proof_2 0.001999 s: category_theory.functor.map_Mat_id 0.006846 s: category_theory.functor.map_Mat_id.equations._eqn_1 0.006631 s: field.to_comm_group_with_zero.equations._eqn_1 0.000162 s: linear_ordered_cancel_add_comm_monoid.lt._default.equations._eqn_1 0.003851 s: category_theory.limits.inhabited_cocone_morphism._proof_1 0.259944 s: has_fderiv_within_at.exp 0.250711 s: differentiable_within_at.exp 0.000288 s: _private.3987499933.partition_local_deps_aux._sunfold 0.000292 s: rack.pre_envel_group_rel'.mul_one.inj_eq 0.026423 s: comm_cancel_monoid_with_zero.cases_on 0.000101 s: plift.rec_on 0.000078 s: buffer.append_array._main._proof_1 0.007534 s: buffer.append_array._main.equations._eqn_2 0.001262 s: opposite.distrib_mul_action.equations._eqn_1 0.000302 s: category_theory.monoidal_nat_trans.inhabited 0.000174 s: order_bot.lt._default.equations._eqn_1 0.003503 s: tactic_doc._3153578586 0.000603 s: enat.dom.decidable.equations._eqn_1 0.002396 s: tactic_doc._904355937 0.001905 s: Mon_.hom.mk.sizeof_spec 0.002625 s: alg_equiv.to_Algebra_iso_inv 0.000520 s: encodable.fintype_equiv_fin.equations._eqn_1 0.003495 s: language.le_mul_congr 0.008353 s: language.star_mul_le_right_of_mul_le_right 0.008142 s: intermediate_field.lifts.upper_bound_intermediate_field.equations._eqn_1 0.009005 s: mv_polynomial.rename_eval₂ 0.003954 s: lex_linear_order._proof_12 0.000129 s: setoid.le_def 0.005288 s: setoid.sup_eq_eqv_gen 0.012961 s: function.injective.comm_group_with_zero.equations._eqn_1 0.002901 s: multilinear_map.inhabited 0.000136 s: quiver.arborescence.root 0.000048 s: quiver.root 0.000319 s: quiver.arborescence.unique_path 0.000154 s: quiver.path.unique 0.004168 s: tensor_product.has_scalar'._match_1.equations._eqn_2 0.001607 s: pregroupoid.mk.inj_arrow 0.006623 s: lt_div_iff_of_neg' 0.000206 s: pos_num.decidable_dvd._sunfold 0.000816 s: ctop.of_equiv._main._proof_1 0.000927 s: ctop.of_equiv._main._proof_2 0.002206 s: ctop.of_equiv._main.equations._eqn_1 0.000666 s: set.bInter_subset_bInter_right 0.000752 s: omega_limit_mono_right 0.008414 s: omega_limit_union 0.008389 s: subgroup.mem_sup_left 0.008135 s: subgroup.mem_sup_right 0.000908 s: subgroup.le_comap_map 0.004515 s: subgroup.comap_mono 0.011387 s: subgroup.ker_le_comap 0.013461 s: subgroup.comap_map_eq 0.008045 s: subgroup.comap_map_eq_self 0.009335 s: subgroup.comap_map_eq_self_of_injective 0.001319 s: subgroup.map_injective 0.001988 s: computation.cases_on.equations._eqn_1 0.000519 s: seq.nil.equations._eqn_1 0.000133 s: io.mode.cases_on 0.027803 s: perfect_closure.comm_monoid._match_1.equations._eqn_1 0.006455 s: fin.comp_init 0.000923 s: turing.TM1to0.tr_cfg._sunfold 0.000063 s: num.add.equations._eqn_1 0.001322 s: lie_subalgebra.is_cartan_subalgebra.self_normalizing 0.000270 s: free_add_monoid.map._proof_2 0.002338 s: free_add_monoid.map 0.003225 s: lie_module.mk.inj 0.003652 s: lie_module.mk.inj_arrow 0.000112 s: char.is_whitespace 0.000144 s: char.decidable_is_whitespace 0.006339 s: pi.generalized_boolean_algebra._proof_12 0.000208 s: list.repeat_left_inj 0.002008 s: list.repeat_left_inj' 0.000437 s: category_theory.hom_of_element.equations._eqn_1 0.000106 s: finmap.has_sizeof_inst 0.000366 s: le_of_add_le_of_nonneg_left 0.000504 s: is_pi_system_generate_pi_system 0.001099 s: generate_pi_system_mono 0.048633 s: subfield.map_supr 0.000397 s: int.induction_on'._proof_15 0.000612 s: complete_lattice.set_independent_empty 0.007303 s: is_closed_set_pi 0.000985 s: tactic.ring2.csring_expr.eval._main.equations._eqn_2 0.000497 s: finset.min'._match_2.equations._eqn_1 0.000085 s: emetric_space.has_sizeof_inst 0.032400 s: filter.germ.semimodule'._proof_1 0.024652 s: uniform_space.ring_sep_quot 0.001736 s: uniform_space.comm_ring._proof_1 0.000372 s: uniform_space.comm_ring 0.001264 s: uniform_space.comm_ring.equations._eqn_1 0.001043 s: is_open_map.to_quotient_map 0.023595 s: quotient_ring_saturate 0.007147 s: quotient_ring.is_open_map_coe 0.017088 s: quotient_ring.quotient_map_coe_coe 0.030048 s: topological_ring_quotient 0.018976 s: uniform_space.topological_ring 0.000359 s: prod.has_div.equations._eqn_1 0.007815 s: measure_theory.outer_measure.restrict_mono 0.032457 s: function.injective.linear_ordered_comm_group._proof_2 0.005594 s: category_theory.types.equations._eqn_1 0.000603 s: open_subgroup.no_confusion_type 0.002678 s: open_subgroup.no_confusion 0.002542 s: open_subgroup.mk.inj 0.000836 s: category_theory.fin_category.decidable_eq_hom 0.004174 s: category_theory.limits.biproduct.lift_desc_assoc 0.000896 s: list.mfoldr._main.equations._eqn_2 0.000183 s: list.mfoldr.equations._eqn_2 0.000205 s: 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0.000614 s: subsemiring.prod_mono_left 0.043613 s: subsemiring.prod_bot_sup_bot_prod 0.011291 s: norm_le_gronwall_bound_of_norm_deriv_right_le 0.010382 s: dist_le_of_approx_trajectories_ODE_of_mem_set 0.000210 s: has_continuous_inv'.mk.inj 0.000229 s: has_continuous_inv'.mk.inj_arrow 0.002062 s: set.image2_right 0.005603 s: category_theory.limits.is_iso_ι_of_is_terminal 0.000426 s: at_bot_is_measurably_generated 0.000372 s: at_bot_is_measurably_generated.equations._eqn_1 0.002420 s: category_theory.lifted_colimit_maps_to_original.equations._eqn_1 0.000148 s: wseq.is_finite.dcases_on 0.000205 s: is_partial_order.cases_on 0.000337 s: set.surj_on.inter 0.000023 s: tactic.explode.status.lam.inj 0.000020 s: tactic.explode.status.lam.inj_arrow 0.001435 s: with_top.order_bot.equations._eqn_1 0.003161 s: category_theory.subobject.top_factors 0.000150 s: connected_space.drec_on 0.000590 s: preorder_hom.prod.diag.equations._eqn_1 0.000437 s: ordinal.monoid._match_7.equations._eqn_1 0.018833 s: matrix.reindex_linear_equiv_refl_refl 0.000312 s: ε_NFA.eval_from.equations._eqn_1 0.000163 s: algebraic_geometry.SheafedSpace.restrict._proof_3 0.011168 s: continuous_linear_map.complete_space_ker.equations._eqn_1 0.000207 s: continuous_map.semilattice_sup._proof_1 0.000220 s: continuous_map.semilattice_sup._proof_2 0.000470 s: continuous_map.semilattice_sup._proof_4 0.003997 s: continuous_map.semilattice_sup._proof_5 0.002788 s: continuous_map.semilattice_sup._proof_6 0.003491 s: continuous_map.semilattice_sup 0.002084 s: continuous_map.sup'_apply 0.106996 s: continuous_map.inf'_apply 0.000135 s: with_top.bounded_lattice._proof_1 0.000253 s: wseq.take 0.025137 s: category_theory.monoidal.Mon_functor_category_equivalence.functor_obj_obj_mul 0.000497 s: slim_check.or_counter_example._main.equations._eqn_3 0.009849 s: category_theory.currying_inverse_obj_obj_map 0.000050 s: slim_check.testable.has_sizeof_inst 0.359102 s: has_fderiv_at_filter_real_equiv 0.000064 s: 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flow.to_homeomorph._proof_8 0.006555 s: flow.to_homeomorph 0.001669 s: flow.image_eq_preimage 0.000561 s: derive_fintype.finset_above.nil.equations._eqn_1 0.000093 s: tactic.explode.status.rec_on 0.000977 s: category_theory.triangulated.triangle_rotation_inverse 0.000185 s: pgame.short.below 0.000928 s: pgame.short.brec_on 0.003585 s: category_theory.structured_arrow.map_obj_hom 0.000074 s: nonneg_add_comm_group.pos._default 0.000290 s: rat.int.can_lift.equations._eqn_1 0.002722 s: vector.tail._sunfold 0.000032 s: onote.zero.inj 0.000037 s: onote.zero.inj_eq 0.001551 s: category_theory.discrete.equivalence_inverse 0.000438 s: with_bot.has_Inf.equations._eqn_1 0.003121 s: inf_eq_top_iff 0.000286 s: set.univ_inv 0.000250 s: is_clopen_compl_iff 0.000193 s: set.compl_inv 0.000322 s: add_con.add_group._proof_2 0.000060 s: unsigned.has_le 0.000045 s: unsigned.has_le.equations._eqn_1 0.000530 s: free_abelian_group.of.equations._eqn_1 0.000138 s: smt_config.pre_cfg._default 0.003401 s: category_theory.comparison_forget_inv_app 0.000436 s: pfunctor.approx.cofix_a.default._main.equations._eqn_1 0.000235 s: pfunctor.approx.cofix_a.default.equations._eqn_1 0.002070 s: filter.germ.map₂.equations._eqn_1 0.000181 s: ordnode.filter._sunfold 0.005049 s: SemiRing.forget_preserves_limits.equations._eqn_1 0.000102 s: is_total.rec_on 0.000107 s: string.iterator.set_curr._main 0.000123 s: string.iterator.set_curr._main.equations._eqn_2 0.000218 s: tactic.eliminate.generalization_mode.generalize_only.inj 0.000178 s: infinite.nat_embedding.equations._eqn_1 0.001048 s: vector.map₂._main.equations._eqn_1 0.002815 s: multilinear_map.smul_right.equations._eqn_1 0.000086 s: list.drop._sunfold 0.000195 s: category_theory.limits.cokernel_zero_iso_target._proof_1 0.000606 s: category_theory.limits.cokernel_zero_iso_target 0.000575 s: category_theory.limits.cokernel_zero_iso_target.equations._eqn_1 0.004348 s: category_theory.limits.cokernel_zero_iso_target_hom 0.000309 s: densely_ordered.dcases_on 0.001759 s: inv_div_left 0.001701 s: submonoid.comap.equations._eqn_1 0.000461 s: tactic.ring2.horner_expr.mul_aux._main.equations._eqn_1 0.000300 s: slim_check.gen.elements 0.042913 s: Algebra.adj._proof_2 0.000137 s: turing.to_partrec.cont.cons₂.inj_arrow 0.000781 s: wseq.scanl._match_1.equations._eqn_2 0.000660 s: turing.TM0.machine.map._sunfold 0.008516 s: finset.nat.prod_antidiagonal_subst 0.077923 s: measure_theory.Lp.semimodule.equations._eqn_1 0.009551 s: set.right_mem_Ioo 0.000256 s: metric.ball_subset_interior_closed_ball 0.215899 s: interior_closed_ball 0.034687 s: gmultiples_add_hom_symm_apply 0.000285 s: quot.lift_on_mk 0.000215 s: array.inhabited 0.000096 s: category_theory.pairwise.hom.id_single.inj 0.000100 s: category_theory.pairwise.hom.id_single.inj_arrow 0.000102 s: field_of_integral_domain._proof_1 0.006755 s: tactic_doc._1727110857 0.018221 s: lie_algebra.orthogonal.Pso_inv 0.014466 s: lie_algebra.orthogonal.is_unit_Pso 0.002576 s: lie_algebra.orthogonal.so_indefinite_equiv._proof_1 0.001675 s: pgame.le_zero 0.000166 s: pgame.right_response._proof_1 0.000206 s: pgame.right_response 0.000070 s: turing.partrec_to_TM2.K'.has_sizeof_inst 0.001707 s: turing.partrec_to_TM2.Λ'.sizeof 0.000051 s: turing.partrec_to_TM2.Λ'.has_sizeof_inst 0.000406 s: turing.partrec_to_TM2.Λ'.succ.sizeof_spec 0.002801 s: generate_from_mono 0.014063 s: pi_generate_from_eq 0.018388 s: pi_generate_from_eq_fintype 0.014522 s: topological_space.second_countable_topology_fintype 0.013096 s: topological_space.second_countable_topology_fintype.equations._eqn_1 0.001570 s: ordnode.all_balance_l 0.000849 s: associates.preorder.equations._eqn_1 0.001086 s: multiset.decidable_dexists_multiset._match_1.equations._eqn_1 0.000692 s: add_subgroup.has_bot.equations._eqn_1 0.034946 s: contract_left._proof_1 0.050927 s: contract_left._proof_3 0.279701 s: contract_left 0.279404 s: contract_left_apply 0.045474 s: fin.bounded_lattice.equations._eqn_1 0.000096 s: tactic.ring2.horner_expr.atom.equations._eqn_1 0.000150 s: num.shiftl._main.equations._eqn_1 0.000057 s: num.shiftl.equations._eqn_1 0.016890 s: category_theory.limits.biproduct.components_matrix 0.000104 s: has_Inf_to_nonempty 0.000197 s: has_Inf_to_nonempty.equations._eqn_1 0.002071 s: mv_polynomial.vars_eq_support_bUnion_support 0.005174 s: filter.germ.add_group.equations._eqn_1 0.000692 s: filter.tendsto.inv 0.000874 s: equiv.of_bijective.equations._eqn_1 0.000113 s: empty_wf 0.000053 s: nat.has_one.equations._eqn_1 0.004026 s: category_theory.cartesian_closed_functor.mk.inj 0.003313 s: category_theory.cartesian_closed_functor.mk.inj_arrow 0.000264 s: pSet.resp.setoid 0.000232 s: pSet.resp.setoid.equations._eqn_1 0.000235 s: slim_check.or_testable 0.000344 s: has_seq_left.mk.inj 0.000544 s: set.Iic.semilattice_inf_top._proof_1 0.001272 s: mul_action.mem_orbit_smul 0.000123 s: bin_tree.ibelow 0.001105 s: bin_tree.binduction_on 0.000334 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.ibelow 0.004785 s: category_theory.limits.cofork.mk_hom_hom 0.002473 s: smooth_manifold_with_corners.drec 0.011050 s: enorm.semilattice_sup_top._proof_11 0.000071 s: is_free_group.has_sizeof_inst 0.000861 s: subtype.semilattice_inf_top._proof_7 0.011206 s: has_strict_fderiv_at.to_local_homeomorph.equations._eqn_1 0.002183 s: function.compl_mul_support 0.000891 s: rbmap.find_entry._match_1.equations._eqn_3 0.001602 s: finset.prod_le_one' 0.000353 s: omega.int.is_nnf._main.equations._eqn_5 0.002780 s: opposite.add_comm_monoid.equations._eqn_1 0.000205 s: parser.conditionally_unfailing.ex' 0.000388 s: rat.mk_pnat_denom_dvd 0.008761 s: emetric.tendsto_locally_uniformly_on_iff 0.001687 s: function.surjective.mul_one_class.equations._eqn_1 0.002245 s: mvqpf.pi.abs._main 0.001633 s: psigma.rev_lex.drec_on 0.005284 s: pmf.coe_bind_on_support_apply 0.002776 s: tsum_dite_right 0.029960 s: pmf.bind_on_support_comm 0.000188 s: simps_cfg.not_recursive._default 0.000106 s: simps_cfg.not_recursive._default.equations._eqn_1 0.000630 s: preorder_hom.has_bot.equations._eqn_1 0.000608 s: tactic.itauto.proof.imp_imp_simp.inj 0.101494 s: has_fderiv_at.cexp 0.093780 s: differentiable_at.cexp 0.049815 s: differentiable.cexp 0.019394 s: category_theory.with_terminal.incl_lift._proof_2 0.073972 s: category_theory.with_terminal.incl_lift._proof_3 0.065162 s: category_theory.with_terminal.incl_lift._proof_4 0.016841 s: category_theory.with_terminal.incl_lift 0.000890 s: ennreal.rpow._main.equations._eqn_2 0.001409 s: dfinsupp.prod.equations._eqn_1 0.268525 s: has_fderiv_at.sqrt 0.276294 s: differentiable_at.sqrt 0.105702 s: differentiable.sqrt 0.025000 s: measure_theory.measure.pi.measure_theory.locally_finite_measure 0.004648 s: measure_theory.measure.pi.measure_theory.locally_finite_measure.equations._eqn_1 0.000381 s: ideal.is_maximal.drec 0.004936 s: smooth_at.prod_mk_space 0.017054 s: cardinal.bit0_lt_bit0 0.274048 s: intermediate_field.adjoin_root_equiv_adjoin.equations._eqn_1 0.000412 s: cardinal.le_def 0.000442 s: relation.refl_gen_iff 0.000175 s: string.iterator.prev._sunfold 0.035146 s: filter.tendsto_at_bot_add 0.011889 s: set.preimage_add_preimage_subset 0.023227 s: set_like.partial_order.equations._eqn_1 0.000294 s: pos_num.test_bit._sunfold 0.009058 s: mul_equiv.submonoid_congr.equations._eqn_1 0.000549 s: add_equiv.is_add_hom 0.210628 s: real.mk_near_of_forall_near 0.030955 s: submonoid.localization_map.lift_unique 0.014714 s: ennreal.pow_lt_top 0.000332 s: list.find_index.equations._eqn_2 0.001919 s: monoid_algebra.has_scalar.equations._eqn_1 0.003623 s: rel_iso.to_galois_coinsertion._proof_1 0.001343 s: ulift.right_cancel_semigroup._proof_1 0.003939 s: ulift.right_cancel_semigroup._proof_2 0.000328 s: ulift.right_cancel_semigroup 0.000391 s: ulift.right_cancel_semigroup.equations._eqn_1 0.005906 s: complex.abs_of_nat 0.002049 s: complex.norm_nat 0.000081 s: vector.inhabited 0.000101 s: vector.inhabited.equations._eqn_1 0.006745 s: category_theory.decomposed_to.full.equations._eqn_1 0.001289 s: filter.seq.equations._eqn_1 0.000172 s: wseq.of_stream.equations._eqn_1 0.192496 s: polynomial.unique_separable_of_irreducible 0.021682 s: category_theory.limits.preserves_limit.no_confusion_type 0.000227 s: equiv.arrow_congr' 0.017610 s: equiv.arrow_congr'_trans 0.001021 s: has_finite_inter.finite_inter_closure.drec_on 0.003488 s: rat.mul._main.equations._eqn_1 0.004100 s: rat.mul.equations._eqn_1 0.002175 s: set.finite.inf_of_left 0.000571 s: semi_normed_comm_ring.no_confusion 0.000324 s: semi_normed_comm_ring.mk.inj 0.000796 s: list.not_mem_of_not_mem_cons 0.000225 s: bundle.total_space.inhabited 0.000280 s: bundle.total_space.inhabited.equations._eqn_1 0.002809 s: ordnode.nth._main.equations._eqn_2 0.000300 s: ordnode.nth.equations._eqn_2 0.000779 s: continuous.inv' 0.004795 s: continuous.div 0.003967 s: category_theory.comonad.id._proof_1 0.003500 s: category_theory.comonad.id._proof_2 0.003943 s: category_theory.comonad.id._proof_3 0.002049 s: category_theory.comonad.id 0.001589 s: add_con.Inf_to_setoid 0.041835 s: complex.continuous_on_tan 0.001080 s: complex.continuous_tan 0.000204 s: Well_order.no_confusion_type 0.000360 s: Well_order.no_confusion 0.000189 s: Well_order.mk.inj 0.000188 s: Well_order.mk.inj_arrow 0.000672 s: category_theory.limits.binary_bicone.to_cone.equations._eqn_1 0.000315 s: pmf.of_fintype 0.009059 s: category_theory.equivalence.pow._main._pack.equations._eqn_2 0.000355 s: open_add_subgroup.ext_iff 0.000347 s: pi_Lp.uniform_space.equations._eqn_1 0.000285 s: ring_hom.eq_locus_field._proof_3 0.000463 s: ring_hom.eq_locus_field._proof_5 0.011718 s: ring_hom.eq_locus_field._proof_6 0.002608 s: ring_hom.eq_locus_field 0.051176 s: gronwall_bound_ε0 0.002387 s: gronwall_bound_ε0_δ0 0.000761 s: arrow_action.equations._eqn_1 0.006780 s: local_equiv.copy_source 0.004116 s: nnreal.div_add' 0.003029 s: polynomial.coeff_restriction' 0.005470 s: polynomial.coeff_one 0.006244 s: polynomial.restriction_one 0.000138 s: wseq.productive.cases_on 0.000710 s: regular_space.drec 0.000123 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.node_0.inj_arrow 0.000169 s: mul_aut.inhabited 0.000098 s: mul_aut.inhabited.equations._eqn_1 0.001197 s: category_theory.normal_mono.regular_mono.equations._eqn_1 0.000173 s: order.pfilter.order_bot._proof_2 0.001360 s: monotone.continuous_of_dense_range 0.044905 s: ideal.is_local.mem_jacobson_or_exists_inv 0.016859 s: is_coatomic.set.Ici.is_coatomic._match_2.equations._eqn_1 0.011458 s: is_max_on.localize 0.007673 s: continuous_map.norm_le 0.014824 s: category_theory.triangulated.inv_rot_comp_rot_hom_app_hom₃ 0.079221 s: is_basis.to_dual_flip._proof_1 0.000217 s: is_basis.to_dual_flip._proof_2 0.234030 s: is_basis.to_dual_flip 0.026287 s: add_subgroup.rec_on 0.018302 s: uniform_space.separation_setoid.uniform_space._match_4.equations._eqn_1 0.000545 s: polynomial.differentiable 0.000441 s: polynomial.differentiable_on 0.000485 s: is_local_extr.comp_antimono 0.000593 s: category_theory.limits.reflects_limits_of_shape_of_nat_iso 0.000367 s: category_theory.limits.reflects_limits_of_nat_iso 0.021119 s: category_theory.pretopology.gi._proof_1 0.000389 s: omega.int.is_nnf._main.equations._eqn_7 0.000142 s: omega.int.is_nnf.equations._eqn_7 0.000170 s: mv_polynomial.degree_of 0.008581 s: ring.fractional_ideal.canonical_equiv._proof_3 0.094944 s: AddGroup.sections_add_subgroup.equations._eqn_1 0.000175 s: ordering.compares._sunfold 0.000870 s: ring_equiv.to_opposite_apply 0.000147 s: ordnode.adjust_with._match_1 0.008396 s: ordnode.adjust_with._main 0.000091 s: ordnode.adjust_with 0.000200 s: ordnode.adjust_with._sunfold 0.000903 s: state_t.monad_writer._match_2.equations._eqn_1 0.013038 s: set.disjoint_pi_univ_Ioc_update_left_right 0.000091 s: tactic.rewrite_search.side.R.sizeof_spec 0.005333 s: category_theory.preserves_limits_iso_hom_π_assoc 0.000099 s: normed_ring.has_sizeof_inst 0.000282 s: normed_comm_ring.sizeof 0.000108 s: is_commutative.rec_on 0.000777 s: lazy_list.monad.equations._eqn_1 0.000321 s: parser.prog.drec 0.000251 s: finset.max'_le 0.000752 s: lazy_list.map₂._main.equations._eqn_2 0.000139 s: set.add_comm_monoid._proof_2 0.000148 s: set.add_comm_monoid._proof_6 0.001956 s: set.add_comm_monoid 0.001373 s: sym2.mem_other_mem 0.048546 s: category_theory.limits.preserves_limits_of_shape_of_equiv.equations._eqn_1 0.563949 s: left_le_midpoint 0.002073 s: real.sqrt_aux._main.equations._eqn_1 0.045343 s: continuous_multilinear_map.comp_along_composition_aux.equations._eqn_1 0.000993 s: category_theory.grothendieck_topology.close_apply 0.000079 s: io.process.spawn_args.env 0.000212 s: Fintype.of.equations._eqn_1 0.000040 s: tactic.apply_cfg.instances._default 0.000038 s: tactic.apply_cfg.instances._default.equations._eqn_1 0.003044 s: submodule.inf_coe 0.002805 s: category_theory.simplicial_object.eq_to_iso_refl 0.001241 s: category_theory.with_terminal.comp._main.equations._eqn_4 0.000219 s: category_theory.with_terminal.comp.equations._eqn_4 0.000899 s: subring.coe_inf 0.000112 s: category_theory.Aut.inhabited 0.013895 s: is_noetherian_ring.drec_on 0.009613 s: Compactum_to_CompHaus.iso_of_topological_space._proof_2 0.000122 s: has_well_founded.sizeof 0.000937 s: ring.to_semiring.equations._eqn_1 0.002128 s: category_theory.unop_epi_of_mono 0.000044 s: bitvec.ule 0.000016 s: bitvec.uge 0.007210 s: continuous_on.comp_fract 0.000220 s: ematch_config.no_confusion 0.009724 s: order_dual.ordered_semimodule.equations._eqn_1 0.002817 s: traversable.free.map.is_monoid_hom.equations._eqn_1 0.000940 s: cardinal.lift_eq_nat_iff 0.005045 s: smooth_pow 0.000682 s: with_zero.canonically_ordered_add_monoid._proof_10 0.000432 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_4 0.004840 s: category_theory.limits.punit_cocone_is_colimit._proof_2 0.002401 s: is_lawful_monad.drec 0.000130 s: linarith.ineq.cmp._main.equations._eqn_1 0.000235 s: enat.has_sup.equations._eqn_1 0.000081 s: num.of_znum.equations._eqn_3 0.008157 s: polynomial.not_is_unit_X 0.001392 s: tangent_bundle.zero_section 0.000360 s: ordnode.split3._sunfold 0.000312 s: uniform_space.separated_separation.equations._eqn_1 0.000493 s: traversable.foldr.equations._eqn_1 0.004867 s: traversable.foldr_map 0.000591 s: category_theory.limits.types.binary_coproduct_cocone.equations._eqn_1 0.003412 s: pi_Lp.neg_apply 0.000544 s: list.extractp._main.equations._eqn_1 0.000045 s: expr_lens.dir.has_to_string 0.004239 s: Group.free._proof_1 0.009090 s: Group.free._proof_2 0.001520 s: Group.free 0.222036 s: subspace.quot_dual_equiv_annihilator.equations._eqn_1 0.000183 s: category_theory.under.equations._eqn_1 0.000438 s: category_theory.limits.reflects_colimits_of_reflects_isomorphisms 0.025832 s: category_theory.limits.reflects_colimits_of_reflects_isomorphisms.equations._eqn_1 0.001429 s: filter.tendsto_Ixx_class.drec 0.000074 s: has_le.rec_on 0.000062 s: ordinal.has_le.equations._eqn_1 0.000027 s: compare_reals.Q.equations._eqn_1 0.001096 s: with_one.comm_monoid.equations._eqn_1 0.043782 s: prime_spectrum.vanishing_ideal_univ 0.000485 s: equiv.ring._proof_1 0.000208 s: equiv.ring._proof_2 0.000215 s: equiv.ring._proof_3 0.000266 s: equiv.ring._proof_4 0.000297 s: equiv.ring._proof_5 0.000308 s: equiv.ring._proof_6 0.008264 s: equiv.ring 0.004565 s: equiv.ring.equations._eqn_1 0.005529 s: perfection_map.map_map 0.007313 s: cardinal.mk_preimage_of_subset_range_lift 0.005237 s: cardinal.mk_preimage_of_injective_of_subset_range_lift 0.000653 s: cardinal.mk_preimage_of_injective_of_subset_range 0.001228 s: lie_module.lower_central_series_zero 0.021487 s: lie_ideal.lower_central_series_map_le 0.006612 s: parser.bounded.sat.equations._eqn_1 0.004520 s: list.inits_append 0.003852 s: list.tails_eq_inits 0.003984 s: category_theory.limits.diagram_iso_cospan_hom_app 0.007888 s: pi.conditionally_complete_lattice._match_3 0.003568 s: pi.conditionally_complete_lattice._proof_12 0.000144 s: name.get_prefix._main.equations._eqn_3 0.000058 s: name.get_prefix.equations._eqn_3 0.000282 s: tactic.itauto.prop.or.inj_eq 0.001469 s: is_add_hom.add 0.002310 s: is_add_group_hom.add 0.000392 s: category_theory.equivalence.pow._main.equations._eqn_5 0.000201 s: category_theory.equivalence.pow.equations._eqn_5 0.000253 s: algebra.comap.algebra'.equations._eqn_1 0.030449 s: line_map_inv_two 0.004746 s: list.diff_sublist 0.000732 s: list.diff_subset 0.001180 s: ge.is_total 0.000274 s: ge.is_total_preorder 0.000160 s: ge.is_total_preorder.equations._eqn_1 0.089306 s: continuous_multilinear_map.comp_continuous_linear_mapL.equations._eqn_1 0.103523 s: measure_theory.has_finite_integral.const_mul 0.019924 s: alg_equiv.of_left_inverse_apply 0.000423 s: Top.Top_has_limits.equations._eqn_1 0.000222 s: turing.TM1to1.Λ'.has_sizeof_inst 0.005909 s: order_iso.coe_trans 0.001492 s: option.decidable_forall_mem._sunfold 0.000386 s: equiv.punit_of_nonempty_of_subsingleton.equations._eqn_1 0.000233 s: category_theory.forget.equations._eqn_1 0.002727 s: category_theory.zero_not_simple 0.004014 s: pi_tensor_product.pempty_equiv._proof_1 0.002873 s: pi_tensor_product.pempty_equiv._proof_2 0.000258 s: pi_tensor_product.pempty_equiv._proof_3 0.007803 s: pi_tensor_product.pempty_equiv._proof_5 0.008297 s: pi_tensor_product.pempty_equiv._proof_6 0.029453 s: pi_tensor_product.pempty_equiv._proof_8 0.013782 s: pi_tensor_product.pempty_equiv 0.011601 s: pi_tensor_product.pempty_equiv.equations._eqn_1 0.007736 s: add_subgroup.topological_closure_topological_add_group 0.005480 s: add_subgroup.topological_closure_topological_add_group.equations._eqn_1 0.007924 s: measure_theory.simple_func.semilattice_sup_bot.equations._eqn_1 0.000478 s: list.ilast._main.equations._eqn_1 0.000117 s: list.ilast.equations._eqn_1 0.000161 s: is_totally_disconnected_of_totally_disconnected_space 0.000280 s: subtype.totally_disconnected_space 0.000393 s: subtype.totally_disconnected_space.equations._eqn_1 0.052072 s: category_theory.Lan.equiv.equations._eqn_1 0.000656 s: ordnode.bounded._main.equations._eqn_2 0.000173 s: ordnode.bounded.equations._eqn_2 0.000071 s: pos_num.lxor.equations._eqn_1 0.000988 s: equiv.prod_congr_left.equations._eqn_1 0.000811 s: onote.NF_power_aux._main.equations._eqn_1 0.000353 s: list.intersperse._main.equations._eqn_2 0.000085 s: list.intersperse.equations._eqn_2 0.015742 s: norm_indicator_eq_indicator_norm 0.000989 s: norm_indicator_le_norm_self 0.000064 s: num.bit0._sunfold 0.001718 s: linear_isometry_equiv.coe_refl 0.001290 s: principal_seg.equiv_lt._match_2.equations._eqn_1 0.001156 s: category_theory.limits.biprod.braiding'.equations._eqn_1 0.002756 s: measure_theory.Lp.equations._eqn_1 0.004752 s: with_top.coe_max 0.003979 s: linear_map.rtensor.equations._eqn_1 0.006824 s: linear_map.rtensor_comp_map 0.000492 s: pfunctor.approx.s_corec._main.equations._eqn_1 0.000170 s: pfunctor.approx.s_corec.equations._eqn_1 0.000388 s: category_theory.is_iso_of_mono_of_nonzero 0.003591 s: category_theory.limits.eq_zero_of_epi_kernel 0.002128 s: category_theory.kernel_zero_of_nonzero_from_simple 0.001046 s: category_theory.is_iso_of_hom_simple 0.002303 s: module.directed_system.rec_on 0.001441 s: ulift.add_left_cancel_semigroup._proof_1 0.000491 s: quaternion.has_coe_t.equations._eqn_1 0.000144 s: rack.pre_envel_group.unit.inj_eq 0.000438 s: closure_operator.mk'._proof_1 0.000347 s: closure_operator.mk' 0.000282 s: closure_operator.mk'.equations._eqn_1 0.153930 s: continuous_linear_map.coe_flipₗᵢ 0.024241 s: canonically_ordered_monoid.bot_le 0.000118 s: state_t.no_confusion_type 0.002514 s: is_poly.dcases_on 0.000093 s: nat.digits_aux_0._sunfold 0.011487 s: filter.realizer.bind._match_9.equations._eqn_1 0.002462 s: category_theory.with_terminal.lift.equations._eqn_1 0.007432 s: add_subgroup.map_eq_bot_iff 0.003011 s: subalgebra.to_linear_ordered_semiring.equations._eqn_1 0.000780 s: pnat.gcd_det_eq 0.016126 s: list.tendsto_insert_nth' 0.002766 s: list.tendsto_insert_nth 0.000727 s: triv_sq_zero_ext.snd_mul 0.000043 s: cc_config.ho_fns._default 0.000228 s: category_theory.is_connected.drec_on 0.000030 s: omega.int.preform.equiv 0.001765 s: computability.unary_decode_encode_nat 0.000049 s: computability.unary_fin_encoding_nat._proof_1 0.000799 s: lazy_list.interleave._main.equations._eqn_2 0.000637 s: pfun.eval_opt 0.006827 s: category_theory.limits.is_limit.fac' 0.000087 s: bool.discrete_topology.equations._eqn_1 0.000220 s: add_monoid_hom.to_zero_hom 0.000185 s: add_monoid_hom.has_coe_to_zero_hom 0.000468 s: add_monoid_hom.coe_eq_to_zero_hom 0.001324 s: circle_deg1_lift.translation_number_eq_of_tendsto₀' 0.001950 s: order_iso.set.univ.equations._eqn_1 0.000211 s: preorder_hom.id.equations._eqn_1 0.000117 s: multiplicative.preorder.equations._eqn_1 0.005962 s: pi.left_cancel_monoid._proof_6 0.000883 s: parser.eof.equations._eqn_1 0.002837 s: parser.eof_eq_done 0.008632 s: parser.step.eof 0.000031 s: or_not 0.002799 s: fderiv_within_sub 0.000102 s: rat.rec_on 0.000141 s: except_t.monad_map 0.000114 s: except_t.monad_functor 0.001229 s: has_sum_strict_mono 0.000496 s: category_theory.limits.is_limit_equiv_is_colimit_op._proof_1 0.000108 s: add_subgroup.simps.coe 0.000109 s: add_subgroup.simps.coe.equations._eqn_1 0.000181 s: power_series.ring.equations._eqn_1 0.113926 s: polynomial.gal.algebra.equations._eqn_1 0.017315 s: additive.linear_ordered_add_comm_monoid_with_top._proof_10 0.001787 s: library_note._3544047472 0.004632 s: category_theory.limits.cone_morphism.ext_iff 0.003032 s: distrib_lattice_of_linear_order.equations._eqn_1 0.000533 s: add_units.add_right_inj 0.001692 s: add_submonoid.localization_map.map_right_cancel 0.000970 s: submodule.sum_smul_mem 0.000611 s: quadratic_form.anisotropic.equations._eqn_1 0.001552 s: quadratic_form.not_anisotropic_iff_exists 0.000747 s: alg_equiv.has_coe_to_ring_equiv.equations._eqn_1 0.000550 s: category_theory.limits.colimit_cocone.cases_on 0.000340 s: category_theory.limits.colimit_cocone.no_confusion_type 0.001170 s: category_theory.limits.colimit_cocone.no_confusion 0.002900 s: real.topological_ring.equations._eqn_1 0.000140 s: Mon_.hom.has_sizeof_inst 0.001490 s: monoid_with_zero_hom.mk.inj 0.001158 s: monoid_with_zero_hom.mk.inj_arrow 0.004512 s: category_theory.functor.const_comp_hom_app 0.001148 s: homeomorph.add_left.equations._eqn_1 0.000149 s: pgame.nim.grundy_value 0.000092 s: equiv.of_iff._proof_2 0.000210 s: equiv.of_iff 0.000236 s: equiv.forall_congr' 0.002159 s: pgame.nim.exists_ordinal_move_left_eq 0.000918 s: nat.zero_lxor 0.001422 s: nat.bitwise_comm 0.000139 s: nat.lxor_comm 0.000601 s: nat.lxor_zero 0.000111 s: nat.lxor_bit 0.001232 s: nat.lxor_assoc 0.000100 s: nat.test_bit_lxor 0.000233 s: nat.lxor_self 0.000350 s: nat.lxor_right_inj 0.000187 s: nat.lxor_left_inj 0.003494 s: nat.lxor_trichotomy 0.000171 s: nat.lxor_eq_zero 0.002234 s: pgame.nim.exists_move_left_eq 0.189936 s: pgame.grundy_value_nim_add_nim 0.021930 s: pgame.nim_add_nim_equiv 0.004490 s: pgame.grundy_value_add 0.020925 s: filter.low_scores 0.008893 s: category_theory.equivalence.cancel_unit_right_assoc' 0.000188 s: category_theory.has_forget₂.has_sizeof_inst 0.000087 s: real.has_pow.equations._eqn_1 0.003500 s: add_monoid_hom.range_factorization._proof_4 0.000495 s: list.diff._main.equations._eqn_1 0.000073 s: list.diff.equations._eqn_1 0.000038 s: rsimp.config.attr_name 0.000764 s: set.neg_subset_neg 0.000581 s: set.neg_subset 0.000350 s: int.lxor._main.equations._eqn_3 0.000077 s: int.lxor.equations._eqn_3 0.000170 s: is_cond_left_inv.rec_on 0.126831 s: euclidean_geometry.circumcenter_eq_of_cospherical_subset 0.018546 s: Top.presheaf.pi_opens_iso_sections_family.equations._eqn_1 0.000134 s: has_monad_lift_t.sizeof 0.000068 s: has_monad_lift_t.has_sizeof_inst 0.001640 s: category_theory.iso.op.equations._eqn_1 0.000856 s: list.mem_cons_eq 0.000215 s: list.mem_nil_iff 0.008099 s: finmap.mem_singleton 0.000497 s: category_theory.limits.has_biproduct.dcases_on 0.000490 s: prod_has_decidable_lt 0.002393 s: prod_has_decidable_lt.equations._eqn_1 0.001122 s: holor.add_comm_semigroup._proof_1 0.000502 s: continuous_at.mul 0.000264 s: is_local_min_on_const 0.001845 s: is_open_neg 0.000951 s: subring.inclusion._proof_1 0.000267 s: set.inter_def 0.002759 s: category_theory.limits.preserves_finite_limits_of_preserves_equalizers_and_finite_products.equations._eqn_1 0.000435 s: ordnode.split_min._main.equations._eqn_2 0.000151 s: parser.unfailing.eps.equations._eqn_1 0.002610 s: buffer.append_array._sunfold 0.000046 s: znum.has_zero.equations._eqn_1 0.001556 s: equiv.swap_comp_apply 0.000275 s: category_theory.limits.preserves_limit.has_sizeof_inst 0.000287 s: filter.germ.comm_semiring._proof_6 0.001945 s: list.map₂_right_nil_cons 0.001039 s: category_theory.discrete_sieve_apply 0.000206 s: group.normal_closure.equations._eqn_1 0.001533 s: lie_algebra.orthogonal.PB 0.001106 s: lie_algebra.orthogonal.PB.equations._eqn_1 0.024728 s: lie_algebra.orthogonal.PB_inv 0.017150 s: lie_algebra.orthogonal.is_unit_PB 0.000688 s: dmatrix.has_sub.equations._eqn_1 0.000035 s: tactic.interactive.case_tag.has_sizeof_inst 0.003184 s: galois_connection.dfun 0.005829 s: polynomial.nat_trailing_degree_eq_of_trailing_degree_eq_some 5.064007 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 0.003622 s: tangent_space.add_comm_group.equations._eqn_1 0.319710 s: euclidean_geometry.reflection_eq_iff_orthogonal_projection_eq 0.031868 s: times_cont_diff_on.continuous_on_deriv_of_open 0.061247 s: finite_dimensional.linear_map.equations._eqn_1 0.000798 s: omega.nat.preform.repr._main.equations._eqn_5 0.000443 s: uniform_add_group.drec_on 0.000334 s: monoid_hom.range_restrict._proof_1 0.013816 s: monoid_hom.range_restrict 0.007109 s: monoid_hom.range_restrict_ker 0.001545 s: category_theory.limits.preserves_colimit.rec_on 0.074994 s: category_theory.equivalence.congr_right_unit_iso 0.000087 s: option.decidable_eq._match_1._proof_2 0.000273 s: option.decidable_eq._match_1.equations._eqn_2 0.000437 s: filter.rcomap_sets 0.032283 s: pseudo_emetric_space.induced._match_1.equations._eqn_1 0.004707 s: subalgebra.is_add_submonoid.equations._eqn_1 0.000388 s: nhds_basis_Ioo 0.000469 s: is_lawful_singleton.drec_on 0.000065 s: nat.repeat._sunfold 0.003258 s: measurable_comp_iff_of_closed_embedding 0.002234 s: measurable_smul_const 0.000477 s: nat.mul._main.equations._eqn_2 0.000051 s: nat.mul.equations._eqn_2 0.001676 s: normed_group.normed_add_torsor.equations._eqn_1 0.001970 s: _private.2907559739.normal_mul_aux._proof_1 0.001914 s: category_theory.under_to_algebra_obj_A 0.006315 s: linear_ordered_cancel_comm_monoid.no_confusion_type 0.005465 s: linear_ordered_cancel_comm_monoid.no_confusion 0.009550 s: linear_ordered_cancel_comm_monoid.mk.inj 0.000356 s: stream.zip.equations._eqn_1 0.000472 s: computation.promises_congr 0.006962 s: computation.bind_assoc 0.045777 s: computation.is_lawful_monad 0.000297 s: wseq.tail.aux._main.equations._eqn_1 0.000104 s: wseq.tail.aux.equations._eqn_1 0.015725 s: wseq.destruct_tail 0.008936 s: wseq.lift_rel_dropn_destruct 0.007830 s: wseq.exists_of_lift_rel_left 0.000928 s: wseq.exists_of_lift_rel_right 0.000985 s: computation.parallel_congr_lem 0.026232 s: computation.exists_of_mem_parallel 0.000566 s: computation.parallel_promises 0.000230 s: computation.terminates_rec_on 0.019082 s: computation.terminates_parallel.aux 0.015016 s: computation.terminates_parallel 0.000286 s: computation.mem_parallel 0.004828 s: computation.parallel_congr_left 0.010260 s: finset.norm_prod_le 0.000663 s: eq_of_norm_sub_le_zero 0.004531 s: category_theory.eq_functor_map 0.014789 s: category_theory.functor.map_arrow.equations._eqn_1 0.007324 s: real.sin_local_homeomorph.equations._eqn_1 0.000220 s: int.eq_neg_of_eq_neg 0.000307 s: int.exists_eq_neg_of_nat 0.001514 s: subring.coe_bot 0.007450 s: id.is_comm_applicative.equations._eqn_1 0.000018 s: linarith.linarith_config.split_ne._default 0.000022 s: congr_arg_kind.eq.inj 0.000164 s: wseq.union._match_2 0.000069 s: wseq.union 0.000122 s: wseq.union.equations._eqn_1 0.000092 s: complex.of_real_tanh 0.005069 s: category_theory.monoidal_category.associator_nat_iso._proof_1 0.005720 s: category_theory.monoidal_category.associator_nat_iso 0.003198 s: category_theory.monoidal_category.associator_nat_iso_hom_app 0.002017 s: category_theory.subterminal_inclusion_map 0.000313 s: rel.restrict_domain.equations._eqn_1 0.000763 s: slim_check.fin.sampleable 0.000190 s: formal_multilinear_series.change_origin._proof_2 0.009041 s: formal_multilinear_series.change_origin 0.047643 s: ennreal.lt_iff_exists_add_pos_lt 0.000508 s: formal_multilinear_series.change_origin_summable_aux_j._match_1.equations._eqn_1 0.011841 s: formal_multilinear_series.change_origin_summable_aux_j_injective 0.110102 s: formal_multilinear_series.change_origin_summable_aux3 0.077722 s: nnreal.tsum_comp_le_tsum_of_inj 0.012493 s: tsum_comp_le_tsum_of_inj 0.208788 s: formal_multilinear_series.change_origin_radius 0.000252 s: turing.TM0.reaches 0.009481 s: submonoid.localization_map.mul_equiv_of_localizations_right_inv 0.000320 s: add_valuation.equations._eqn_1 0.011760 s: filter.realizer.bind._match_8.equations._eqn_1 0.000064 s: tactic.rewrite_search.using_conv.app_addr.node.inj_arrow 0.004762 s: bundle_trivialization.comp_homeomorph._proof_3 0.001621 s: bundle_trivialization.comp_homeomorph 0.001595 s: bundle_trivialization.comp_homeomorph.equations._eqn_1 0.006120 s: finset.distrib_lattice.equations._eqn_1 0.005826 s: direct_sum.gcomm_monoid.of_add_submonoids._match_2.equations._eqn_1 0.000901 s: pfunctor.mk.inj_eq 0.001708 s: Module.colimits.prequotient.of.sizeof_spec 0.000198 s: guardb._main.equations._eqn_1 0.001061 s: equiv.Pi_curry._proof_2 0.000443 s: equiv.Pi_curry 0.011777 s: category_theory.currying_functor_map_app 0.000473 s: cardinal.sup_lt_ord_of_is_regular 0.000070 s: snum.zero.inj_arrow 0.006789 s: affine_equiv.trans_apply 0.008123 s: is_R_or_C.of_real_bit0 0.032451 s: is_R_or_C.abs_two 0.000100 s: bitvec.xor 0.000091 s: bitvec.xor.equations._eqn_1 0.008890 s: uniform_continuous_iff_eventually 0.002423 s: inner_product_geometry.angle_self_neg_of_nonzero 0.002586 s: inner_product_geometry.angle_neg_self_of_nonzero 0.000494 s: finset.functor.equations._eqn_1 0.000139 s: rel.complete_lattice 0.002659 s: fin_enum.subtype.fin_enum._proof_1 0.047837 s: pi_semi_norm_const 0.000171 s: topological_fiber_bundle_core.fiber.equations._eqn_1 0.013628 s: linear_map.mul_eq_one_of_mul_eq_one 0.000737 s: linear_map.mul_eq_one_comm 0.000124 s: znum.cmp._main.equations._eqn_2 0.000032 s: znum.cmp.equations._eqn_2 0.000260 s: is_metric_separated.finite_Union_left 0.000631 s: pfun.eval_opt.equations._eqn_1 0.000640 s: pos_num.land._main.equations._eqn_8 0.000093 s: pos_num.land.equations._eqn_8 0.003426 s: subtype_mk.is_add_monoid_hom.equations._eqn_1 0.000753 s: add_submonoid.coe_bot 0.000768 s: finset.has_singleton.equations._eqn_1 0.011426 s: category_theory.center.category_theory.braided_category._proof_1 0.036071 s: category_theory.center.category_theory.braided_category._proof_2 0.066397 s: category_theory.center.category_theory.braided_category._proof_3 0.001728 s: category_theory.center.category_theory.braided_category 0.001401 s: category_theory.center.category_theory.braided_category.equations._eqn_1 0.000279 s: set.Iic.semilattice_inf_bot._proof_1 0.000321 s: set.Iic.semilattice_inf_bot._proof_2 0.000524 s: set.Iic.semilattice_inf_bot._proof_4 0.000460 s: set.Iic.semilattice_inf_bot._proof_6 0.020338 s: set.Iic.semilattice_inf_bot 0.000508 s: algebraic_geometry.polynomial.image_of_Df 0.000978 s: is_integral_domain.dcases_on 0.047984 s: ideal.quotient.is_integral_domain_iff_prime 0.065086 s: ideal.is_prime_map_C_of_is_prime 0.015129 s: prime_spectrum.mem_compl_zero_locus_iff_not_mem 0.102875 s: algebraic_geometry.polynomial.comap_C_mem_image_of_Df 0.136035 s: algebraic_geometry.polynomial.image_of_Df_eq_comap_C_compl_zero_locus 0.000276 s: is_trichotomous.drec 0.001131 s: free_group.to_word.inj 0.000212 s: free_group.decidable_eq._proof_1 0.000517 s: free_group.decidable_eq 0.000406 s: free_group.decidable_eq.equations._eqn_1 0.000284 s: ulift.has_sub.equations._eqn_1 0.000338 s: sym.inhabited_sym' 0.018129 s: semilattice_sup.sizeof 0.000047 s: semilattice_sup.has_sizeof_inst 0.000898 s: trunc_of_multiset_exists_mem._match_1._proof_1 0.000172 s: order_dual.nonempty.equations._eqn_1 0.007289 s: alg_equiv.arrow_congr.equations._eqn_1 0.029122 s: alg_equiv.arrow_congr_comp 0.000634 s: category_theory.representable.no_confusion_type 0.004198 s: category_theory.representable.no_confusion 0.000960 s: category_theory.representable.mk.inj 0.010011 s: category_theory.functor.map_cone_postcompose_equivalence_functor_inv_hom 0.000370 s: typevec.cases_nil.equations._eqn_1 0.072350 s: linear_map.quotient_inf_to_sup_quotient._proof_2 0.063853 s: linear_map.quotient_inf_to_sup_quotient 0.060898 s: linear_map.quotient_inf_to_sup_quotient.equations._eqn_1 0.066814 s: linear_map.quotient_inf_equiv_sup_quotient._proof_1 0.080352 s: linear_map.quotient_inf_equiv_sup_quotient._proof_2 0.063769 s: linear_map.quotient_inf_equiv_sup_quotient 0.059173 s: linear_map.quotient_inf_equiv_sup_quotient.equations._eqn_1 0.006679 s: hash_map.find_insert_eq 0.005989 s: hash_map.find_insert 0.004354 s: constr_add 0.000825 s: CommRing.colimits.prequotient.neg.inj 0.000245 s: CommRing.colimits.prequotient.neg.inj_arrow 0.000898 s: category_theory.limits.walking_span.hom.id 0.000141 s: pell.yn.equations._eqn_1 0.000064 s: nat.primes.inhabited_primes 0.000191 s: slim_check.use_has_to_string.mk.equations._eqn_1 0.000061 s: tactic.ring_exp.coeff.cases_on 0.000123 s: tactic.ring_exp.coeff.no_confusion_type 0.000148 s: tactic.ring_exp.coeff.no_confusion 0.000904 s: finsupp.filter_add_hom.equations._eqn_1 0.002420 s: int.gcd_eq_left 0.000204 s: int.gcd_eq_right 0.000184 s: opposite.op_induction.equations._eqn_1 0.003453 s: mul_equiv_iso_CommMon_iso._proof_1 0.003403 s: function.surjective.distrib_mul_action._proof_3 0.003457 s: ordinal.unbounded_range_of_sup_ge 0.001668 s: set.image2_congr 0.000236 s: set.image2_congr' 0.000112 s: add_submonoid.nontrivial_iff 0.000060 s: add_submonoid.nontrivial 0.000659 s: finset.set_bInter_finset_image 0.000077 s: distrib_lattice.copy._proof_1 0.003387 s: distrib_lattice.copy 0.000701 s: sym2.mem_other_ne 0.000233 s: sym2.mem_from_rel_irrefl_other_ne 0.000519 s: category_theory.limits.complete_lattice.has_limits_of_complete_lattice.equations._eqn_1 0.002145 s: intermediate_field.mem_lift2 0.042301 s: intermediate_field.coe_bot_eq_self 0.000960 s: algebraic_geometry.structure_sheaf.localizations.local_ring 0.000145 s: int.le_add_of_sub_right_le 0.009756 s: finsupp.map_range.zero_hom_id 0.002541 s: category_theory.differential_object.shift_unit_iso_hom 0.000921 s: category_theory.graded_object.has_shift.equations._eqn_1 0.000067 s: lazy_list.has_sizeof_inst 0.005022 s: gi_generate_from.equations._eqn_1 0.000211 s: nzsnum.msb.inj 0.000048 s: nzsnum.msb.inj_arrow 0.000381 s: equiv.comm_monoid._proof_1 0.000355 s: equiv.comm_monoid._proof_2 0.000894 s: equiv.comm_monoid 0.000743 s: equiv.comm_monoid.equations._eqn_1 0.000027 s: simps_cfg.has_sizeof_inst 0.000078 s: int.fdiv.equations._eqn_5 0.000375 s: SemiRing.semiring.equations._eqn_1 0.000907 s: omega.terms.fresh_index._main.equations._eqn_2 0.000053 s: omega.terms.fresh_index.equations._eqn_2 0.000128 s: relator.left_total.left 0.001673 s: relator.rel_exists_of_left_total 0.000217 s: _private.1072622717.fun_to_extfun 0.002173 s: computation.think_terminates._main.equations._eqn_1 0.001302 s: computation.think_terminates.equations._eqn_1 0.000624 s: omega_complete_partial_order.no_confusion_type 0.000629 s: omega_complete_partial_order.no_confusion 0.001069 s: omega_complete_partial_order.mk.inj 0.000167 s: writer_t.monad_map 0.000580 s: linear_equiv.congr_fun 0.001305 s: parser.err_static.mmap'_of_unfailing._main 0.000072 s: parser.err_static.mmap'_of_unfailing 0.000657 s: parser.err_static.mmap'_of_unfailing._main.equations._eqn_2 0.000631 s: parser.err_static.mmap'_of_unfailing.equations._eqn_2 0.001178 s: list.foldr_map' 0.000952 s: measure_theory.measure.quasi_measure_preserving.rec_on 0.000061 s: linear_nonneg_ring.pos._default 0.000090 s: linear_nonneg_ring.pos._default.equations._eqn_1 0.000218 s: zero_hom.has_zero.equations._eqn_1 0.000521 s: equiv.sub_def 0.008813 s: fin.pred_above_below 0.008846 s: fin_succ_equiv'_below 0.002067 s: option.join_eq_none 0.001371 s: add_submonoid.inclusion.equations._eqn_1 0.000714 s: subsemiring.inclusion._proof_1 0.001323 s: subsemiring.inclusion 0.000567 s: finset.disjoint_insert_right 0.001972 s: linear_map.restrict.equations._eqn_1 0.006270 s: bilin_form.sub_right 0.007604 s: category_theory.subobject.wide_cospan_map_term 0.000910 s: equiv.mul_left'_symm_apply 0.001131 s: adjunction.right_adjoint_uniq.equations._eqn_1 0.000976 s: list.has_decidable_lt._match_1.equations._eqn_2 0.000306 s: subalgebra.to_submodule_inj 0.001841 s: mul_semiring_action_hom.cases_on 0.006293 s: mul_semiring_action_hom.ext 0.006238 s: mul_semiring_action_hom.comp_apply 0.002705 s: mul_semiring_action_hom.id_comp 0.128446 s: field_of_finite_dimensional.equations._eqn_1 0.015971 s: continuous_multilinear_map.inhabited 0.000772 s: algebra.comap.of_comap 0.058743 s: algebra.left_mul_matrix.equations._eqn_1 0.000129 s: slim_check.rec_shrink._main._proof_2 0.001401 s: rel_iso.bijective 0.014354 s: nat.partrec'.drec 0.000060 s: turing.to_partrec.code.head.equations._eqn_1 0.001647 s: turing.to_partrec.code.id_eval 0.001899 s: turing.to_partrec.code.head_eval 0.001784 s: vector.tail_val 0.000606 s: vector.cons_val 0.007542 s: turing.to_partrec.code.exists_code.comp 0.000134 s: turing.to_partrec.code.eval.equations._eqn_6 0.001667 s: turing.to_partrec.code.eval._main.equations._eqn_7 0.000128 s: turing.to_partrec.code.eval.equations._eqn_7 0.000030 s: turing.to_partrec.code.pred.equations._eqn_1 0.001932 s: turing.to_partrec.code.pred_eval 0.000206 s: list.head._main.equations._eqn_2 0.000100 s: list.head.equations._eqn_2 0.000037 s: turing.to_partrec.code.rfind 0.000050 s: turing.to_partrec.code.rfind.equations._eqn_1 0.000138 s: bool.tt_eq_to_bool_iff 0.079373 s: turing.to_partrec.code.exists_code 0.001816 s: bilin_form.coe_fn_congr 0.000268 s: is_right_null.drec_on 0.003012 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_6 0.002112 s: polynomial.splits_of_nat_degree_eq_one 0.003964 s: add_comm_monoid.sizeof 0.003906 s: add_comm_monoid.mk.sizeof_spec 0.000071 s: SemiRing.inhabited 0.000796 s: tactic.reorder_goals._main.equations._eqn_1 0.000676 s: lie_algebra.sizeof 0.132730 s: padic_int.appr_mono 0.157191 s: padic_int.dvd_appr_sub_appr 0.068482 s: padic_int.zmod_cast_comp_to_zmod_pow 0.040977 s: witt_vector.zmod_equiv_trunc_compat 0.000148 s: encodable.has_sizeof_inst 0.000563 s: denumerable.sizeof 0.007646 s: category_theory.limits.pushout_cocone.mk_X 0.000112 s: is_fw_invariant 0.000124 s: is_invariant.is_fw_invariant 0.009903 s: con.correspondence._proof_6 0.002594 s: intermediate_field.lifts.upper_bound.equations._eqn_1 0.002471 s: submonoid.localization_map.symm_comp_of_mul_equiv_of_localizations_apply 0.002368 s: category_theory.lax_monoidal_functor.map_Mon_obj_mul 0.000348 s: multiset.subset.equations._eqn_1 0.000519 s: sequentially_complete.seq.equations._eqn_1 0.000701 s: set.union_left_comm 0.000295 s: free_add_semigroup.traverse 0.000084 s: free_add_semigroup.traversable 0.000831 s: free_add_semigroup.traverse_pure 0.008171 s: free_add_semigroup.traverse_add 0.003185 s: free_add_semigroup.is_lawful_traversable._proof_5 0.000800 s: tendsto_uniformly_on.tendsto_locally_uniformly_on 0.012286 s: continuous_multilinear_map.curry_fin_finset._proof_1 0.025921 s: continuous_multilinear_map.curry_fin_finset._proof_3 0.017336 s: continuous_multilinear_map.dom_dom_congr._proof_2 0.014132 s: continuous_multilinear_map.dom_dom_congr._proof_4 0.006252 s: continuous_multilinear_map.dom_dom_congr._proof_5 0.015771 s: continuous_multilinear_map.dom_dom_congr._proof_6 0.005297 s: continuous_multilinear_map.dom_dom_congr._proof_8 0.028913 s: continuous_multilinear_map.dom_dom_congr._proof_9 0.029103 s: continuous_multilinear_map.dom_dom_congr._proof_10 0.019018 s: continuous_multilinear_map.dom_dom_congr._proof_11 0.101783 s: continuous_multilinear_map.dom_dom_congr 0.098627 s: continuous_multilinear_map.curry_fin_finset 0.175004 s: continuous_multilinear_map.curry_fin_finset_symm_apply_piecewise_const 0.067931 s: continuous_multilinear_map.curry_fin_finset_apply_const 0.011145 s: tactic_doc._1934002142 0.008067 s: topological_space.opens.to_Top.equations._eqn_1 0.000423 s: module.End.maximal_generalized_eigenspace_index 0.000396 s: module.End.maximal_generalized_eigenspace_index.equations._eqn_1 0.000505 s: set.Icc.semilattice_inf_bot._proof_1 0.000335 s: set.Icc.semilattice_inf_bot._proof_2 0.001066 s: set.Icc.semilattice_inf_bot._proof_3 0.000819 s: set.Icc.semilattice_inf_bot._proof_6 0.001071 s: set.Icc.semilattice_inf_bot._proof_8 0.006469 s: set.Icc.semilattice_inf_bot 0.000846 s: set.Icc.bounded_lattice._proof_9 0.011081 s: zsqrtd.lift.equations._eqn_1 0.003146 s: int.shiftr_coe_nat 0.000658 s: int.shiftr_neg_succ 0.001038 s: int.shiftr_add 0.120528 s: is_separable_self 0.000065 s: computability.Γ'.bra.inj 0.000041 s: computability.Γ'.bra.inj_arrow 0.015109 s: free_magma.traverse_mul' 0.002573 s: function.surjective.distrib_mul_action._proof_1 0.002258 s: function.surjective.distrib_mul_action._proof_2 0.006019 s: function.surjective.distrib_mul_action._proof_4 0.002149 s: function.surjective.distrib_mul_action 0.002238 s: function.surjective.semimodule._proof_3 0.000172 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_1 0.002202 s: category_theory.subobject.of_le_mk_comp 0.000061 s: int.test_bit._sunfold 0.000132 s: algebra.comap.comm_ring.equations._eqn_1 0.072786 s: isometric.coe_to_real_linear_equiv_of_map_zero_symm 0.001879 s: category_theory.terminal_exponentiable.equations._eqn_1 0.000263 s: finset.inter_subset_inter_right 0.027980 s: category_theory.limits.equalizer_subobject_arrow 0.000102 s: tactic.ring2.horner_expr.pow._sunfold 0.002367 s: complex.norm_rat 0.002686 s: cardinal.powerlt_le 0.000037 s: nonempty.rec_on 0.001087 s: cardinal.zero_power 0.004528 s: cardinal.zero_power_le 0.007900 s: cardinal.zero_powerlt 0.000158 s: roption.restrict._sunfold 0.000096 s: pfunctor.M_intl.has_sizeof_inst 0.001605 s: continuous_linear_map.differentiable 0.003027 s: continuous_linear_map.mdifferentiable 0.000113 s: category_theory.comonad.inhabited 0.000061 s: coe_fn_b 0.002102 s: simple_graph.dart_of_neighbor_set.equations._eqn_1 0.002472 s: subsemiring.to_submonoid_strict_mono 0.000419 s: subsemiring.to_submonoid_mono 0.232937 s: filter.lift_comm 0.028394 s: category_theory.functor.comp.additive.equations._eqn_1 0.009005 s: submodule.map_neg 0.004657 s: submodule.span_neg 0.000549 s: order_dual.of_dual_lt_of_dual 0.000883 s: convex_cone.to_partial_order.equations._eqn_1 0.002103 s: category_theory.limits.preserves_pair.iso.equations._eqn_1 0.000432 s: parser.static.eof.equations._eqn_1 0.048203 s: linear_nonneg_ring.to_nonneg_ring.equations._eqn_1 0.009993 s: finmap.mem_keys 0.000680 s: continuous_functions.set_of.has_coe_to_fun.equations._eqn_1 0.000253 s: filter.germ.ordered_cancel_add_comm_monoid._proof_3 0.000318 s: typevec.cases_cons.equations._eqn_1 0.054664 s: Module.has_forget_to_AddCommGroup.equations._eqn_1 0.013355 s: linear_ordered_comm_monoid.lt_of_mul_lt_mul_left._default.equations._eqn_1 0.002876 s: ordnode.any_iff_exists 0.004149 s: lucas_lehmer.X.nontrivial 0.002437 s: lucas_lehmer.X.nontrivial.equations._eqn_1 0.000164 s: omega_complete_partial_order.chain.equations._eqn_1 0.000159 s: linear_nonneg_ring.npow._default 0.000340 s: linear_nonneg_ring.npow._default.equations._eqn_1 0.001263 s: trunc_of_multiset_exists_mem._match_1.equations._eqn_1 0.000029 s: rbnode.mem_exact 0.003819 s: finsupp.add_eq_zero_iff 0.000039 s: semilattice_inf.lt._default 0.000114 s: semilattice_inf.lt._default.equations._eqn_1 0.001767 s: measurable_space.partial_order.equations._eqn_1 0.002231 s: circle_deg1_lift.commute_int_add 0.000032 s: bool.tt.inj 0.000267 s: locally_constant.semigroup.equations._eqn_1 0.052271 s: with_bot.conditionally_complete_lattice.equations._eqn_1 0.009883 s: category_theory.sigma.sigma.equations._eqn_1 0.045385 s: submonoid.closure_empty 0.000978 s: writer_t.equiv.equations._eqn_1 0.012818 s: add_submonoid.localization_map.add_equiv_of_localizations.equations._eqn_1 0.006597 s: linear_isometry_equiv.fderiv 0.000872 s: matrix.to_blocks₁₂.equations._eqn_1 0.005775 s: linear_equiv.symm_neg 0.004476 s: category_theory.comparison_forget_hom_app 0.000083 s: list.alternative 0.000050 s: list.alternative.equations._eqn_1 0.000343 s: nat.decidable_le._main.equations._eqn_1 0.000064 s: nat.decidable_le.equations._eqn_1 0.000043 s: set.has_variable_names 0.001765 s: tensor_product.add_comm_semigroup.equations._eqn_1 0.000638 s: pseudo_metric_space_pi.equations._eqn_1 0.003944 s: submodule.is_principal.eq_bot_iff_generator_eq_zero 0.039702 s: submodule.is_principal.prime_generator_of_is_prime 0.000079 s: category_theory.pairwise.has_sizeof_inst 0.001899 s: metric.completion.metric_space.equations._eqn_1 0.001269 s: ulift.left_cancel_semigroup._proof_1 0.000372 s: ulift.left_cancel_semigroup 0.000248 s: ulift.left_cancel_semigroup.equations._eqn_1 0.008418 s: submodule.has_mul.equations._eqn_1 0.001767 s: category_theory.is_coreflexive_pair.drec 0.000336 s: is_incomp_trans.drec_on 0.003399 s: category_theory.triangulated.inv_rot_comp_rot_inv_2 0.000093 s: category_theory.component.inhabited 0.002273 s: is_simple_group.subgroup.is_simple_lattice.equations._eqn_1 0.005217 s: category_theory.limits.is_colimit.nat_iso.equations._eqn_1 0.000189 s: category_theory.limits.has_finite_coproducts_of_has_finite_colimits 0.002355 s: set.preimage_mul_const_Icc_of_neg 0.056346 s: min_div_div_right_of_nonpos 0.054457 s: max_div_div_right_of_nonpos 0.029208 s: max_div_div_right 0.029783 s: set.preimage_mul_const_interval 0.011775 s: set.preimage_const_mul_interval 0.005048 s: linear_map.monoid.equations._eqn_1 0.095860 s: prime_spectrum.prime_spectrum_prod 0.166648 s: prime_spectrum.prime_spectrum_prod_symm_inr_as_ideal 0.000382 s: option.traverse._main.equations._eqn_1 0.024040 s: measure_theory.integral_mul_right_eq_self 0.197641 s: measure_theory.integral_zero_of_mul_right_eq_neg 0.000627 s: order_dual.semilattice_inf_top._proof_5 0.029963 s: category_theory.equalizer.sieve.first_map 0.008623 s: category_theory.equalizer.sieve.first_map.equations._eqn_1 0.002040 s: category_theory.limits.types.limit_ext_iff 0.046298 s: category_theory.equalizer.sieve.compatible_iff 0.005064 s: measure_theory.has_finite_integral.right_of_add_measure 0.000188 s: simple_graph.dart.rev._proof_1 0.000835 s: simple_graph.dart.rev 0.000175 s: simple_graph.dart.rev.equations._eqn_1 0.000866 s: simple_graph.dart.mk.inj_eq 0.000713 s: simple_graph.dart.rev_ne 0.001417 s: simple_graph.dart_edge_eq_iff 0.001884 s: simple_graph.dart.edge_fiber 0.007862 s: simple_graph.dart_edge_fiber_card 0.004452 s: simple_graph.dart_card_eq_twice_card_edges 0.000820 s: simple_graph.sum_degrees_eq_twice_card_edges 0.000066 s: Group.inhabited 0.001748 s: function.injective.smul_with_zero._proof_2 0.000595 s: category_theory.Mat_.rec_on 0.003273 s: mvpfunctor.M.dest'_eq_dest' 0.001559 s: mvpfunctor.M.dest_eq_dest' 0.008877 s: mvpfunctor.M.bisim_lemma 0.000264 s: Class.Union.equations._eqn_1 0.001572 s: monotone.const_mul 0.001072 s: rbnode.min._main.equations._eqn_2 0.000207 s: rbnode.min.equations._eqn_2 0.000135 s: prime_multiset.coe_pnat.equations._eqn_1 0.000559 s: list.zip_left_nil_left 0.000145 s: ADE_inequality.admissible_E'3 0.002824 s: set.image_const_add_Ioc 0.001224 s: set.image_sub_const_Ioc 0.000163 s: subalgebra.has_sizeof_inst 0.000312 s: slim_check.gen.vector_of._sunfold 0.001070 s: mvpfunctor.comp.mk 0.001805 s: mvpfunctor.comp.mk.equations._eqn_1 0.002373 s: mvpfunctor.comp.get.equations._eqn_1 0.021995 s: mvpfunctor.comp.get_mk 0.000052 s: omega.int.preterm.inhabited 0.000023 s: omega.int.preform.inhabited 0.002402 s: deriv_mul_const 0.000561 s: fin_enum.subtype.fin_enum 0.000145 s: parser.fix_core.equations._eqn_2 0.000641 s: parser.fix_core_eq_done 0.006608 s: tensor_product.eqv.drec 0.004380 s: has_smooth_add.drec_on 0.002502 s: is_simple_lattice.order_iso_bool.equations._eqn_1 0.008869 s: category_theory.subobject.underlying_iso.equations._eqn_1 0.018153 s: power_basis.sizeof 0.000208 s: power_basis.has_sizeof_inst 0.000132 s: multiplicative.linear_ordered_comm_monoid._proof_1 0.000721 s: list.sublists'_singleton 0.023187 s: nnreal.add_halves 0.000714 s: int.sub_right_lt_of_lt_add 0.000373 s: int.sub_one_le_of_lt 0.441933 s: Module.Mon_Module_equivalence_Algebra._proof_9 0.033149 s: pgame.list_short_nth_le._sunfold 0.049678 s: mvpfunctor.M.bisim 0.000739 s: typevec.drop_fun_comp 0.001122 s: typevec.split_fun._main.equations._eqn_1 0.000651 s: typevec.split_fun.equations._eqn_1 0.022055 s: mvpfunctor.M.bisim₀ 0.002398 s: pth_root_pow_p' 0.000127 s: option_t.of_option._main 0.000043 s: option_t.of_option 0.003999 s: linear_pmap.domain_sup 0.113776 s: convex_cone.salient_of_positive_cone 0.016936 s: linear_map.map_injective 0.017798 s: submodule.fg_of_fg_map 0.021830 s: submodule.fg_top 0.016088 s: add_units.map_comp 0.000125 s: category_theory.thin_skeleton.is_skeleton_of_inhabited._proof_1 0.000265 s: hyperreal.lt_of_pos_of_infinitesimal 0.000454 s: multiset.gcd.equations._eqn_1 0.002041 s: gcd_eq_of_associated_left 0.003243 s: multiset.gcd_erase_dup 0.000118 s: wseq.indexes_of 0.017347 s: real.exp_multiset_sum 0.012307 s: category_theory.mono_over.congr._proof_1 0.008975 s: category_theory.mono_over.congr._proof_2 0.126284 s: category_theory.mono_over.congr._proof_3 0.260091 s: category_theory.mono_over.congr._proof_4 0.176520 s: category_theory.mono_over.congr._proof_6 0.442182 s: category_theory.mono_over.congr._proof_7 0.084420 s: category_theory.mono_over.congr 0.000239 s: category_theory.essentially_small_mono_over 0.000537 s: category_theory.well_powered_of_equiv 0.010068 s: alg_equiv.coe_mk 0.000311 s: sum.swap._sunfold 0.000472 s: pSet.subset._main.equations._eqn_1 0.000242 s: pSet.subset.equations._eqn_1 0.000538 s: slim_check.sampleable_bifunctor.p_repr 0.000604 s: slim_check.sampleable_ext.bifunctor 0.000795 s: convex_cone.mem_coe 0.010407 s: continuous_map_add_monoid.equations._eqn_1 0.000331 s: order_dual.to_dual_inj 0.005697 s: category_theory.adjoint_triangle_lift.equations._eqn_1 0.000040 s: tactic.apply_cfg.md._default.equations._eqn_1 0.032398 s: has_strict_deriv_at.ccosh 0.032111 s: algebra.to_top.equations._eqn_1 0.000533 s: order.cofinal.cases_on 0.000211 s: order.cofinal.no_confusion_type 0.000598 s: order.cofinal.no_confusion 0.001707 s: order.cofinal.mk.inj 0.002233 s: order.cofinal.mk.inj_eq 0.000212 s: array.read' 0.000239 s: buffer.read'._sunfold 0.001437 s: linear_map.to_affine_map_linear 0.002799 s: category_theory.comma_morphism.sizeof 0.000436 s: category_theory.comma_morphism.has_sizeof_inst 0.000513 s: tactic_doc._4052376424 0.044590 s: complex.deriv_sin 0.000056 s: rbnode.color.rec_on 0.006566 s: decidable_multiples.equations._eqn_1 0.015475 s: category_theory.adjunction.cones_iso_component_inv.equations._eqn_1 0.000180 s: quiver.weakly_connected_component.inhabited 0.000558 s: Gromov_Hausdorff.aux_gluing._proof_8 0.008768 s: category_theory.curry.map_app_app 0.000034 s: occurrences.all.inj 0.000042 s: occurrences.all.inj_arrow 0.001257 s: quaternion_algebra.mk.inj_arrow 0.006141 s: quaternion_algebra.ext_iff 0.000041 s: io.process.spawn_args.cwd._default 0.000043 s: io.process.spawn_args.cwd._default.equations._eqn_1 0.000068 s: io.process.stdio.inherit.inj_eq 0.003162 s: category_theory.iso.Group_iso_to_add_equiv_apply 0.002941 s: set.exists_prod_set 0.000142 s: fin.has_repr 0.000606 s: zmod.has_repr._main 0.000024 s: zmod.has_repr 0.007090 s: category_theory.monad.comparison_obj_a 0.005304 s: monoid_algebra.single_algebra_map_eq_algebra_map_mul_of 0.488957 s: bundle_trivialization.comap.equations._eqn_1 0.038738 s: locally_constant.ring._proof_12 0.000110 s: witt_vector.is_poly.inhabited 0.000154 s: witt_vector.is_poly.inhabited.equations._eqn_1 0.002659 s: parser.step.bind' 0.000560 s: parser.step.seq' 0.000674 s: monoid.mfoldr.mk.equations._eqn_1 0.005045 s: Mon.to_Cat._proof_1 0.006832 s: Mon.to_Cat._proof_2 0.016599 s: Mon.to_Cat 0.002787 s: Mon.to_Cat_faithful 0.000518 s: associates.factor_set_mem.equations._eqn_1 0.007374 s: category_theory.monad.algebra_functor_of_monad_hom_comp_hom_app_f 0.000307 s: continuous.abs 0.000116 s: has_orelse.sizeof 0.000095 s: has_orelse.has_sizeof_inst 0.000133 s: alternative.sizeof 0.000029 s: alternative.has_sizeof_inst 0.000263 s: except.bind._match_1.equations._eqn_1 0.003072 s: subtype_val.is_add_monoid_hom.equations._eqn_1 0.008266 s: localization_map.mk'_mul_cancel_right 0.056665 s: category_theory.subterminals_equiv_mono_over_terminal_unit_iso_inv_app 0.254277 s: differentiable_within_at.log 0.096788 s: differentiable_on.log 0.015832 s: times_cont_diff_within_at.div_const 0.007066 s: alg_equiv.of_linear_equiv.equations._eqn_1 0.001858 s: category_theory.limits.id_reflects_limits._proof_1 0.026428 s: category_theory.limits.id_reflects_limits._proof_2 0.035730 s: category_theory.limits.id_reflects_limits._proof_3 0.013498 s: category_theory.limits.id_reflects_limits 0.005876 s: _private.595311107.f._main.equations._eqn_1 0.000286 s: alternating_group.equations._eqn_1 0.002866 s: setoid.eqv_gen_le 0.000191 s: setoid.eqv_gen_mono 0.003414 s: setoid.gi._proof_1 0.000130 s: int.add_pos_of_pos_of_nonneg 0.001602 s: initial_seg.mk.sizeof_spec 0.008455 s: add_subgroup.mem_supr_of_mem 0.001382 s: add_subgroup.of_sub._proof_1 0.000594 s: free_magma.length._main 0.000557 s: free_magma.length._main.equations._eqn_1 0.002213 s: has_deriv_within_at_pi 0.002430 s: deriv_within_pi 0.012569 s: basic_smooth_bundle_core.to_topological_fiber_bundle_core._match_1.equations._eqn_1 0.000463 s: category_theory.projective.factors 0.005412 s: inner_product_space.rec_on 0.000354 s: valuation.monoid_with_zero_hom.has_coe 0.000347 s: monad_io_net_system.sizeof 0.000097 s: monad_io_net_system.has_sizeof_inst 0.002073 s: category_theory.monoidal_category.right_unitor_conjugation 0.000118 s: fermat_42.minimal.equations._eqn_1 0.000273 s: rbtree.has_repr 0.000343 s: rbtree.has_repr.equations._eqn_1 0.000480 s: function.embedding.equiv_of_fintype_self_embedding.equations._eqn_1 0.000550 s: matrix.head_neg 0.000639 s: lazy_list.mfirst._main.equations._eqn_1 0.000272 s: lazy_list.mfirst.equations._eqn_1 0.000073 s: array.map₂ 0.000118 s: array.map₂.equations._eqn_1 0.000030 s: doc_category.tactic.inj_arrow 0.002031 s: category_theory.over.construct_products.cones_equiv_functor_2 0.000216 s: array.read'.equations._eqn_1 0.000776 s: array.read_eq_read' 0.001826 s: nat.shiftl'_add 0.000060 s: nat.shiftl_add 0.001492 s: topological_space.partial_order.equations._eqn_1 0.000116 s: ennreal.to_nnreal._sunfold 0.000570 s: category_theory.functor.ess_image.of_iso 0.000056 s: symmetric.equations._eqn_1 0.002625 s: derivation.no_confusion_type 0.000551 s: string.has_decidable_lt.equations._eqn_1 0.002148 s: power_series.coeff_zero_X_mul 0.001204 s: local_equiv.copy_symm_apply 0.000044 s: bitvec.has_neg 0.002302 s: lucas_lehmer.X.add_fst 0.001582 s: lucas_lehmer.X.neg_fst 0.001423 s: lucas_lehmer.X.one_fst 0.005204 s: lucas_lehmer.X.int_coe_fst 0.029723 s: lucas_lehmer.X.coe_mul 0.000364 s: seq.take._match_1 0.000361 s: seq.take._main 0.000026 s: seq.take 0.000064 s: seq.take._sunfold 0.004668 s: ordnode.is_subset_aux._main 0.000128 s: ordnode.is_subset_aux 0.000406 s: nat.decidable_lo_hi.equations._eqn_1 0.000239 s: finset.bUnion.equations._eqn_1 0.000044 s: slim_check.fin.sampleable'._proof_1 0.000510 s: slim_check.fin.sampleable' 0.005039 s: free_add_monoid.lift.equations._eqn_1 0.001474 s: set.image_sub_const_Iio 0.009713 s: complex.cos_add_two_pi 0.000072 s: is_dec_eq 0.000026 s: is_dec_refl 0.000211 s: decidable_eq_of_bool_pred._proof_1 0.000322 s: decidable_eq_of_bool_pred 0.304890 s: convex.mul_sub_lt_image_sub_of_lt_deriv 0.252406 s: convex.image_sub_lt_mul_sub_of_deriv_lt 0.125458 s: real.pi_gt_three 0.023523 s: category_theory.equivalence.faithful_of_equivalence.equations._eqn_1 0.003522 s: category_theory.limits.biprod_iso 0.000613 s: category_theory.functor.id.equations._eqn_1 0.000161 s: ideal.is_jacobson.cases_on 0.000098 s: znum.pred._sunfold 0.000738 s: tactic_doc._2317822651 0.005635 s: category_theory.limits.is_limit.cone_points_iso_of_equivalence_inv 0.000796 s: local_ring.drec_on 0.000724 s: snum.bit._main.equations._eqn_2 0.000112 s: snum.bit.equations._eqn_2 0.000349 s: functor.comp.has_seq.equations._eqn_1 0.000290 s: valuation.to_preorder 0.000338 s: valuation.to_preorder.equations._eqn_1 0.000362 s: function.surjective.image_surjective 0.000870 s: set.image_surjective 0.001918 s: category_theory.limits.is_colimit.whisker_equivalence 0.000741 s: category_theory.limits.has_colimit_equivalence_comp 0.001306 s: category_theory.limits.has_colimit_of_equivalence_comp 0.002588 s: linear_map.sum_of_conjugates.equations._eqn_1 0.000246 s: lazy_list.filter.equations._eqn_2 0.001227 s: tactic_doc._1425394628 0.000445 s: subring.to_ordered_comm_ring._proof_1 0.004237 s: ordnode.bounded.weak_right 0.000862 s: ordnode.bounded.trans_right 0.000862 s: complex.I_pow_bit0 0.001031 s: category_theory.subobject.iso_of_mk_eq_inv 0.002783 s: lie_equiv.of_subalgebra._proof_5 0.000279 s: list.mem_insert_of_mem 0.000241 s: omega.nat.preform.holds._sunfold 0.048449 s: Algebra.free_map 0.012471 s: pfun.equiv_subtype._match_1.equations._eqn_1 0.000149 s: num.of_nat'.equations._eqn_1 0.008313 s: num.of_nat'_eq 0.000458 s: set.bij_on.subset_range 0.000117 s: functor.const.inhabited 0.000149 s: unit.has_to_string 0.000099 s: unit.has_to_string.equations._eqn_1 0.000257 s: sym2.diag.equations._eqn_1 0.000352 s: subtype.ring.equations._eqn_1 0.000039 s: nat.coprime_comm 0.000167 s: classical.nonempty_pi 0.000421 s: continuous_at.abs 0.001388 s: pfun.as_subtype_eq_of_mem 0.001495 s: Mon_.hom.mul_hom' 0.000929 s: asymptotics.is_O.triangle 0.015600 s: category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso_hom_app_app_hom 0.003004 s: add_subgroup.coe_inf 0.004409 s: add_subgroup.map_comap_eq 0.011805 s: add_subgroup.map_comap_eq_self 0.000836 s: partrec.map_encode_iff 0.121251 s: quadratic_form.to_matrix'_smul 0.126730 s: quadratic_form.discr_smul 0.000071 s: mvqpf.prj.abs._main._proof_1 0.001021 s: mvqpf.prj.abs._main.equations._eqn_1 0.000597 s: mvqpf.prj.abs.equations._eqn_1 0.033719 s: slim_check.injective_function.shrink._match_1._proof_3 0.402941 s: isometric.to_real_linear_isometry_equiv_of_map_zero.equations._eqn_1 0.029428 s: continuous_map.normed_algebra._proof_3 0.060848 s: continuous_map.normed_algebra 0.000256 s: wseq.productive.drec 0.010185 s: finset.inf_cons 0.002801 s: num.land_to_nat 0.000127 s: field_of_integral_domain._proof_18 0.000197 s: trunc_of_card_pos.equations._eqn_1 0.002235 s: set.pi_univ_Ico_subset 0.003943 s: fin_equiv_powers._match_1.equations._eqn_1 0.007595 s: order.pfilter.order_bot._proof_5 0.000615 s: and.rotate 0.000490 s: ordnode.balanced.dec._sunfold 0.003341 s: category_theory.monoidal.functor_category.tensor_hom_app 0.006013 s: equiv.perm.cycle_factors.equations._eqn_1 0.000108 s: slim_check.true.printable_prop 0.000101 s: slim_check.true.printable_prop.equations._eqn_1 0.007881 s: finset.card_le_one 0.002510 s: finset.one_lt_card 0.011045 s: finset.min'_lt_max'_of_card 0.000839 s: opposite.comm_group._proof_7 0.000153 s: set.subsingleton.equations._eqn_1 0.000497 s: function.is_periodic_pt.left_of_add 0.001539 s: asymptotics.is_O_with.of_norm_norm 0.000475 s: asymptotics.is_O_with.norm_norm 0.011281 s: asymptotics.is_O_with.smul 0.006961 s: primrec.list_rec 0.000336 s: lists.to_list._sunfold 0.003354 s: category_theory.subobject.of_le_mk_comp_of_mk_le_assoc 0.003286 s: finsupp.map_range.linear_map_apply 0.033192 s: clifford_algebra.rel.rec_on 0.002817 s: prod.lex.is_well_order._match_1.equations._eqn_1 0.000241 s: num.ldiff._main.equations._eqn_3 0.005097 s: comp_rel_assoc 0.020383 s: lebesgue_number_lemma 0.008525 s: lebesgue_number_lemma_of_metric 0.000091 s: category_theory.limits.walking_parallel_pair_hom.inhabited 0.000168 s: quiver.rec_on 0.000304 s: ordnode.remove_nth._sunfold 0.000105 s: rat.semilattice_sup.equations._eqn_1 0.001510 s: free_semigroup.mul_map_seq 0.002445 s: left_ord_continuous.map_csupr 0.044582 s: right_ord_continuous.map_cinfi 0.000306 s: turing.TM2.init 0.000291 s: turing.TM2.eval 0.011055 s: turing.tr_eval_dom 0.003194 s: turing.TM2to1.tr_init.equations._eqn_1 0.000521 s: turing.TM1.init.equations._eqn_1 0.019555 s: turing.TM2to1.tr_cfg_init 0.008983 s: turing.TM2to1.tr_eval_dom 0.000087 s: linarith.ineq.cmp._main.equations._eqn_6 0.000023 s: linarith.ineq.cmp.equations._eqn_6 0.000246 s: sigma_compact_space.drec 0.004343 s: left_nhds_within_Ioo_ne_bot 0.000120 s: sum.swap_left_inverse 0.001115 s: continuous_at.inner 0.004091 s: list.modify_nth_tail_modify_nth_tail_same 0.000784 s: is_max_filter_const 0.000149 s: is_max_on_const 0.000249 s: monad_reader_adapter.sizeof 0.000199 s: computability.Γ'.bit.inj_eq 0.000584 s: finsupp.has_sub.equations._eqn_1 0.001398 s: tprod.measurable_space.equations._eqn_2 0.000467 s: equiv_of_unique_of_unique.equations._eqn_1 0.002233 s: finsupp.single_swap 0.084941 s: interval_integral.interval_integrable_sin 0.223870 s: rational_cau_seq_pkg.equations._eqn_1 0.058467 s: localization_map.lift_surjective_iff 0.013731 s: free_semigroup.traverse_mul 0.001963 s: free_semigroup.traverse_mul' 0.001113 s: string.has_variable_names._proof_1 0.000479 s: string.has_variable_names 0.004471 s: finprod_mul_distrib 0.002297 s: finprod_mem_mul_distrib' 0.000282 s: array.reverse._match_1._proof_1 0.002231 s: polynomial.map_cyclotomic 0.143276 s: polynomial.roots_prod 0.155078 s: polynomial.roots_prod_X_sub_C 0.303551 s: polynomial.is_root_cyclotomic 0.161393 s: minpoly_primitive_root_dvd_cyclotomic 0.019979 s: category_theory.pretopology.to_grothendieck.equations._eqn_1 0.010087 s: tactic_doc._3818896403 0.000263 s: convex_cone.has_lt.equations._eqn_1 0.001260 s: category_theory.limits.mono_of_source_iso_zero 0.000365 s: vector.traverse._sunfold 0.003138 s: subring.map_le_iff_le_comap 0.000594 s: subring.gc_map_comap 0.025973 s: subring.comap_inf 0.000603 s: roption.ret_eq_some 0.008071 s: category_theory.kleisli.adjunction.adj.equations._eqn_1 0.001379 s: pi.conditionally_complete_lattice._proof_10 0.005719 s: alternating_map.coe_neg 0.041139 s: complex.complex_ordered_comm_ring._proof_1 0.022032 s: complex.complex_ordered_comm_ring._proof_2 0.000089 s: complex.complex_ordered_comm_ring._proof_4 0.015485 s: complex.complex_ordered_comm_ring._proof_7 0.060963 s: complex.complex_ordered_comm_ring._proof_8 0.072643 s: complex.complex_ordered_comm_ring._proof_9 0.023005 s: complex.complex_ordered_comm_ring 0.099230 s: continuous_multilinear_map.to_normed_space.equations._eqn_1 0.000268 s: omega.nat.bools.or._main.equations._eqn_3 0.000047 s: omega.nat.bools.or.equations._eqn_3 0.015354 s: perfect_closure.comm_monoid._match_7.equations._eqn_1 0.000205 s: ordnode.sized.equations._eqn_2 0.001279 s: set.unique_singleton._match_1.equations._eqn_1 0.000177 s: continuous_on_inv 0.000134 s: cardinal.sup_le_sum 0.012786 s: int.neg_succ 0.001943 s: int.neg_pred 0.006017 s: mem_gpowers_iff_mem_range_order_of 0.000186 s: category_theory.limits.preserves_terminal.of_iso_comparison._proof_1 0.000086 s: category_theory.limits.preserves_terminal.of_iso_comparison._proof_2 0.001937 s: category_theory.limits.preserves_terminal.of_iso_comparison 0.000621 s: category_theory.limits.preserves_terminal_of_is_iso._proof_1 0.000638 s: category_theory.limits.preserves_terminal_of_is_iso 0.000327 s: category_theory.limits.preserves_terminal_of_iso._proof_1 0.000365 s: category_theory.limits.preserves_terminal_of_iso 0.000752 s: category_theory.limits.preserves_terminal_of_iso.equations._eqn_1 0.000573 s: has_finite_inter.no_confusion 0.001046 s: submodule.smul_mono_right 0.025060 s: submodule.smul_sup 0.003385 s: is_add_group_hom.neg_iff_ker' 0.000374 s: generalized_continued_fraction.terminated_at_iff_part_num_none 0.000397 s: pi.ordered_cancel_add_comm_monoid._proof_1 0.003515 s: pi.ordered_cancel_add_comm_monoid._proof_2 0.000254 s: pi.ordered_cancel_add_comm_monoid._proof_3 0.000193 s: pi.ordered_cancel_add_comm_monoid._proof_4 0.000831 s: pi.ordered_cancel_add_comm_monoid._proof_5 0.030034 s: pi.ordered_cancel_add_comm_monoid._proof_13 0.013224 s: pi.ordered_cancel_add_comm_monoid 0.017491 s: ordered_semimodule.mk'' 0.303669 s: ordered_semimodule.mk' 0.207574 s: pi.ordered_semimodule 0.134175 s: pi.ordered_semimodule' 0.176373 s: pi.ordered_semimodule'.equations._eqn_1 0.002857 s: set.sInter_pair 0.000547 s: computation.destruct._match_1.equations._eqn_2 0.052203 s: enat.complete_linear_order._proof_3 0.000189 s: empty.topological_space.equations._eqn_1 0.006575 s: typevec.prod.fst._sunfold 0.000251 s: category_theory.monoidal_closed.no_confusion_type 0.000355 s: category_theory.monoidal_closed.no_confusion 0.000243 s: category_theory.monoidal_closed.mk.inj 0.002740 s: turing.TM2to1.stmt_st_rec._main.equations._eqn_7 0.001788 s: turing.TM2to1.stmt_st_rec.equations._eqn_7 0.000629 s: uniform.continuous_within_at_iff'_right 0.005132 s: tendsto_comp_of_locally_uniform_limit_within 0.000791 s: ulift.is_lawful_functor 0.000909 s: ulift.is_lawful_applicative._match_1 0.000410 s: ulift.is_lawful_applicative._match_2 0.000589 s: ulift.is_lawful_applicative._match_3 0.001259 s: ulift.is_lawful_applicative._match_4 0.000561 s: ulift.is_lawful_applicative._match_5 0.002380 s: ulift.is_lawful_applicative 0.001228 s: ulift.is_lawful_applicative.equations._eqn_1 0.000673 s: set.mul_indicator_union_mul_inter 0.000473 s: is_pi_system_is_open 0.000136 s: nat.lt_ge_by_cases 0.000087 s: nat.lt_by_cases 0.000114 s: nat.dist_eq_sub_of_le_right 0.003625 s: nat.dist_pos_of_ne 0.000408 s: parser.foldl_core._main.equations._eqn_1 0.000133 s: parser.foldl_core.equations._eqn_1 0.024354 s: smooth_map_group.equations._eqn_1 0.004778 s: galois_insertion.cases_on 0.000744 s: galois_insertion.no_confusion_type 0.000721 s: galois_insertion.no_confusion 0.003190 s: free_group.sum.map_inv 0.017672 s: Mon_Type_equivalence_Mon.functor.equations._eqn_1 0.004369 s: category_theory.is_iso_of_epi_of_split_mono 0.001732 s: category_theory.functor.map.split_epi._proof_1 0.000779 s: category_theory.functor.map.split_epi 0.000633 s: category_theory.retraction_split_epi._proof_1 0.000332 s: category_theory.retraction_split_epi 0.005619 s: category_theory.mem_ess_image_of_unit_split_mono 0.000135 s: norm_cast.label.to_string._sunfold 0.000223 s: discrete_topology.drec 0.000419 s: pnat.not_prime_one 0.000640 s: mv_power_series.inv.equations._eqn_1 0.001240 s: finsupp.finite_le_nat 0.000688 s: free_add_magma.traverse._main.equations._eqn_1 0.000278 s: free_add_magma.traverse.equations._eqn_1 0.000116 s: multiset.mem_singleton_self 0.000060 s: onote.ibelow 0.000429 s: onote.binduction_on 0.002397 s: ideal.quotient_mapₐ._proof_1 0.002469 s: ideal.quotient_mapₐ._proof_2 0.001703 s: ideal.quotient_mapₐ._proof_3 0.003607 s: ideal.quotient_mapₐ 0.003676 s: ideal.quotient_mapₐ.equations._eqn_1 0.000795 s: dif_ctx_simp_congr 0.003055 s: order.ideal.inf._match_1.equations._eqn_1 0.000110 s: monad_state_adapter.has_sizeof_inst 0.000083 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_1 0.000580 s: multiset.Ico.filter_le_of_le_bot 0.000568 s: finset.Ico.filter_le_of_le_bot 0.001250 s: right_coset_assoc 0.002804 s: library_note._3733961377 0.000212 s: turing.id_computable_in_time.equations._eqn_1 0.064278 s: is_scalar_tower.polynomial 0.107971 s: is_scalar_tower.polynomial.equations._eqn_1 0.000752 s: finprod_eq_prod_of_fintype 0.014806 s: finprod_mem_Union 0.032465 s: nnreal.sub_sub_cancel_of_le 0.000729 s: isometric.coe_eq_to_equiv 0.008954 s: dlist.append._main._proof_1 0.000899 s: dlist.append._main.equations._eqn_1 0.003308 s: ordnode.disjoint._main.equations._eqn_4 0.000049 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.has_sizeof_inst 0.000443 s: category_theory.ess_surj.drec_on 0.000835 s: add_monoid_hom.to_zero_hom_coe 0.083926 s: has_fderiv_within_at.csinh 0.083286 s: fderiv_within_csinh 0.000936 s: turing.partrec_to_TM2.tr_normal._main.equations._eqn_5 0.000068 s: turing.partrec_to_TM2.tr_normal.equations._eqn_5 0.020218 s: poly.comm_ring._proof_1 0.003896 s: poly.comm_ring._proof_2 0.003462 s: poly.comm_ring._proof_3 0.004628 s: poly.comm_ring._proof_4 0.005364 s: poly.comm_ring._proof_5 0.022898 s: poly.comm_ring._proof_6 0.040896 s: poly.comm_ring._proof_7 0.000568 s: poly.one_eval 0.007074 s: poly.comm_ring._proof_10 0.007139 s: poly.comm_ring._proof_11 0.004302 s: poly.comm_ring._proof_12 0.004032 s: poly.comm_ring._proof_13 0.008830 s: poly.comm_ring._proof_14 0.008643 s: poly.comm_ring._proof_15 0.008974 s: poly.comm_ring._proof_16 0.010358 s: poly.comm_ring 0.003015 s: inv_mul_le_right_of_le_mul 0.001085 s: irrational.of_add_rat 0.034362 s: perfect_closure.comm_ring._match_6.equations._eqn_1 0.009228 s: list.count_filter 0.003178 s: multiset.count_filter_of_pos 0.000335 s: list.all_some._sunfold 0.003140 s: set.preimage_add_const_Ioo 0.002764 s: set.image_const_add_Ioo 0.001053 s: set.image_sub_const_Ioo 0.000387 s: lt_mul_of_inv_mul_lt_left 0.004093 s: category_theory.grothendieck.comp.equations._eqn_1 0.001043 s: abstract_completion.mk.inj 0.006347 s: abstract_completion.mk.inj_eq 0.001399 s: lt_of_mul_lt_mul_right' 0.000109 s: nat.upto.zero.equations._eqn_1 0.000121 s: set.subset_union_of_subset_right 0.001976 s: category_theory.limits.types.filtered_colimit.is_colimit_of._proof_5 0.002111 s: free_abelian_group.comm_ring.equations._eqn_1 0.000084 s: pSet.lift._sunfold 0.001480 s: category_theory.sum.swap.equivalence._proof_3 0.000230 s: category_theory.limits.biproduct_iso._proof_1 0.000229 s: category_theory.limits.biproduct_iso._proof_2 0.000134 s: category_theory.limits.biproduct_iso._proof_4 0.000154 s: category_theory.limits.biproduct_iso._proof_7 0.002122 s: category_theory.limits.biproduct_iso 0.002598 s: category_theory.limits.biproduct_iso.equations._eqn_1 0.000238 s: neg_dvd 0.001988 s: int.coe_nat_dvd_right 0.000179 s: int.dvd_lcm_left 0.019009 s: function.injective.linear_ordered_cancel_comm_monoid._proof_7 0.000267 s: padic_val_nat_primes 0.039352 s: padic_norm.padic_norm_of_prime_of_ne 0.001085 s: rel_embedding.of_map_rel_iff.equations._eqn_1 0.001078 s: mul_equiv.mk' 0.005078 s: mul_equiv.mk'.equations._eqn_1 0.003046 s: submodule.eq_zero_of_bot_submodule 0.007993 s: submodule.closed_complemented_bot 0.003244 s: subsemiring.coe_one 0.001059 s: category_theory.limits.types.colimit_equiv_quot.equations._eqn_1 0.001278 s: category_theory.monad.forget_creates_colimits_of_shape 0.000439 s: is_galois.normal''.equations._eqn_1 0.001271 s: ctop.realizer.nhds._match_4.equations._eqn_1 0.002612 s: ordinal.le_of_mul_le_mul_left 0.001470 s: linear_isometry.edist_map 0.000092 s: io.fs.read.equations._eqn_1 0.000210 s: euclidean_domain.gcd_self 0.006085 s: mv_polynomial.constant_coeff_comp_map 0.002123 s: Gromov_Hausdorff.aux_gluing._proof_16 0.000546 s: wseq.zip_with._match_1.equations._eqn_1 0.067717 s: category_theory.under.map_comp._proof_2 0.000480 s: zmod.comm_ring.equations._eqn_2 0.027120 s: category_theory.triangulated.rot_comp_inv_rot_inv.equations._eqn_1 0.012061 s: prod.comm_ring.equations._eqn_1 0.231711 s: is_dedekind_domain_inv.cases_on 0.080705 s: category_theory.algebra_to_under.equations._eqn_1 0.056467 s: ennreal.le_inv_iff_mul_le 0.000113 s: _private.2579780349.from_components_aux.equations._eqn_2 0.000136 s: order_dual.semilattice_inf_top._proof_1 0.071263 s: units.group.equations._eqn_1 0.000103 s: has_equiv.cases_on 0.000072 s: has_equiv.no_confusion_type 0.000139 s: joined_in.joined 0.000516 s: is_path_connected.mem_path_component 0.000397 s: is_path_connected.subset_path_component 0.001741 s: category_theory.comonad.forget.equations._eqn_1 0.056496 s: topological_space.open_nhds.inclusion_map_iso_hom 0.000516 s: module.is_noetherian.finite 0.000491 s: module.is_noetherian.finite.equations._eqn_1 0.000351 s: ordnode.filter.equations._eqn_2 0.007940 s: list.has_decidable_lt._main.equations._eqn_4 0.000363 s: list.has_decidable_lt.equations._eqn_4 0.000114 s: category_theory.limits.wide_pullback_shape.hom.inhabited 0.000093 s: category_theory.limits.wide_pullback_shape.hom.inhabited.equations._eqn_1 0.002090 s: category_theory.limits.equalizer.iso_source_of_self 0.001008 s: category_theory.limits.equalizer.iso_source_of_self.equations._eqn_1 0.019419 s: polynomial.to_subring_zero 0.000113 s: vm_decl_kind.cases_on 0.000080 s: vm_decl_kind.no_confusion_type 0.000203 s: vm_decl_kind.no_confusion 0.002274 s: perfect_closure.has_neg.equations._eqn_1 0.000140 s: free_group.mk.equations._eqn_1 0.005538 s: continuous_linear_equiv.has_fderiv_within_at 0.004861 s: continuous_linear_equiv.unique_diff_on_image 0.001709 s: add_equiv_iso_AddGroup_iso 0.001356 s: add_equiv_iso_AddGroup_iso.equations._eqn_1 0.002575 s: fin_congr_apply_coe 0.000592 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.primitive.pack.inj 0.000116 s: list.lt._sunfold 0.001855 s: category_theory.fin_category_discrete_of_decidable_fintype.equations._eqn_1 0.013501 s: finsupp.lattice.equations._eqn_1 0.027639 s: category_theory.limits.is_limit.nat_iso._proof_1 0.001076 s: list.traverse._main.equations._eqn_2 0.000314 s: list.traverse.equations._eqn_2 0.000553 s: add_monoid_hom.range_top_of_surjective 0.000737 s: list.chain'.tail 0.000159 s: list.chain'.cons 0.005760 s: list.chain'.cons' 0.000458 s: list.chain'_cons' 0.003345 s: parser.sat_eq_fail 0.000273 s: parser.err_static.sat_iff 0.005509 s: fact_zero_lt_one 0.001210 s: category_theory.monadic_right_adjoint.rec_on 0.000159 s: parser.err_static.rec_on 0.000356 s: category_theory.normal_of_is_pullback_fst_of_normal._proof_1 0.005173 s: category_theory.limits.kernel_is_iso_comp.equations._eqn_1 0.006610 s: mul_le_iff_le_one_right 0.001078 s: sym.decidable_mem 0.000278 s: omega.nat.preform.le.inj_eq 0.000179 s: strict_mono_incr_on.equations._eqn_1 0.000024 s: tactic.ring.normalize_mode.inhabited 0.000024 s: tactic.ring.normalize_mode.inhabited.equations._eqn_1 0.006075 s: pi_tensor_product.lift_add_hom._match_1.equations._eqn_1 0.003214 s: has_smooth_add.cases_on 0.000310 s: category_theory.limits.reflects_limits.cases_on 0.000270 s: category_theory.limits.reflects_limits.no_confusion_type 0.000448 s: category_theory.limits.reflects_limits.no_confusion 0.000381 s: category_theory.limits.reflects_limits.mk.inj 0.000275 s: category_theory.limits.wide_pullback_shape.hom.rec_on 0.000715 s: list.ne_of_not_mem_cons 0.001661 s: list.mem_diff_of_mem 0.005990 s: Top.prelocal_predicate.sheafify.equations._eqn_1 0.001386 s: eqv_gen.drec_on 0.033888 s: continuous_map_ring.equations._eqn_1 0.004178 s: category_theory.groupoid.of_is_iso._proof_1 0.001896 s: category_theory.groupoid.of_is_iso._proof_2 0.001941 s: category_theory.groupoid.of_is_iso._proof_3 0.005468 s: category_theory.groupoid.of_is_iso._proof_5 0.005633 s: category_theory.groupoid.of_is_iso 0.002319 s: category_theory.is_iso.of_mono_retraction 0.000690 s: category_theory.groupoid.of_trunc_split_mono._proof_1 0.000164 s: category_theory.groupoid.of_trunc_split_mono 0.002418 s: uniform_inducing.mk' 0.000510 s: is_max_on.comp_antimono 0.000398 s: is_max_on.neg 0.000754 s: list.union_sublist_append 0.002366 s: multiset.ndunion_le_add 0.001074 s: is_simple_lattice.is_atomistic 0.022107 s: is_simple_lattice.is_coatomistic 0.022172 s: is_simple_lattice.is_coatomistic.equations._eqn_1 0.000077 s: is_refl.rec_on 0.000414 s: ordinal.typein_iso._proof_1 0.001857 s: is_free_group.no_confusion_type 0.000639 s: is_free_group.no_confusion 0.000835 s: is_free_group.mk.inj 0.001187 s: is_free_group.mk.inj_arrow 0.001931 s: category_theory.regular_epi.rec_on 0.011223 s: hyperreal.infinite_neg_iff_infinite_and_neg 0.000132 s: parser.static.cases_on 0.001804 s: nat.arithmetic_function.zeta.invertible 0.001055 s: nat.arithmetic_function.zeta.invertible.equations._eqn_1 0.002632 s: quotient_add_group.coe_add 0.000073 s: bitvec.carry.equations._eqn_1 0.023057 s: nat.add_eq_one_iff 0.005569 s: tactic.ring2.csring_expr.eval._sunfold 0.000852 s: stone_cech_extend.equations._eqn_1 0.001204 s: nnreal.coe_Inf 0.002834 s: generalized_continued_fraction.convergents'_aux_stable_of_terminated 0.000596 s: generalized_continued_fraction.convergents'_stable_of_terminated 0.001491 s: regular_expression.matches_add_def 0.002543 s: has_deriv_at_neg' 0.000267 s: multiset.nodupkeys.equations._eqn_1 0.000234 s: matrix.empty_vec_mul_vec 0.010031 s: category_theory.yoneda_jointly_reflects_limits._proof_1 0.017554 s: category_theory.yoneda_jointly_reflects_limits._proof_2 0.000231 s: with_top.has_zero.equations._eqn_1 0.004913 s: category_theory.with_initial.lift_star.equations._eqn_1 0.002822 s: nnreal.sub_eq_iff_eq_add 0.001915 s: free_abelian_group.of_one 0.000132 s: restrict_scalars.semi_normed_group.equations._eqn_1 0.000152 s: category_theory.comonad.simps.coe 0.023935 s: ring_hom.finite_type.equations._eqn_1 0.000161 s: small.drec_on 0.008599 s: pi.single_neg 0.006418 s: ring_equiv.sof_left_inverse._match_1.equations._eqn_1 0.000121 s: int.topological_space 0.000098 s: int.discrete_topology 0.000656 s: continuous_at.nnnorm 0.003026 s: measure_theory.tsum_measure_preimage_singleton 0.000209 s: wf_dvd_monoid.drec_on 0.006403 s: category_theory.comonad.coalgebra.iso_mk.equations._eqn_1 0.000059 s: order_dual.subsingleton 0.000080 s: order_dual.subsingleton.equations._eqn_1 0.000131 s: holor.has_zero.equations._eqn_1 0.011699 s: category_theory.adjunction.restrict_fully_faithful.equations._eqn_1 0.002073 s: set.mk_preimage_prod_left 0.002046 s: measurable_set_prod_of_nonempty 0.002021 s: measurable_set_prod 0.000627 s: with_bot.decidable_lt._main._proof_2 0.000177 s: set.singleton_add_hom._proof_2 0.000552 s: set.singleton_add_hom 0.000405 s: set.singleton_add_hom.equations._eqn_1 0.000252 s: to_topological_space_bot 0.000237 s: parser.err_static.drec_on 0.018711 s: complex.card_roots_of_unity 0.000902 s: bitvec.to_int._main.equations._eqn_2 0.106073 s: abs_lt_iff_mul_self_lt 0.019542 s: int.nat_abs_lt_iff_mul_self_lt 0.002440 s: int.nat_abs_lt_iff_sq_lt 0.000163 s: num.mod._main.equations._eqn_1 0.000039 s: num.mod.equations._eqn_1 0.001437 s: Profinite.mk.sizeof_spec 0.115237 s: has_fderiv_at.prod_map 0.000160 s: list.inhabited.equations._eqn_1 0.000207 s: fintype.exists_pair_of_one_lt_card 0.000527 s: lie_algebra.special_linear.E 0.031764 s: lie_algebra.special_linear.E_diag_zero 0.017764 s: lie_algebra.special_linear.E_trace_zero 0.136587 s: lie_algebra.special_linear.Eb._proof_1 0.069525 s: lie_algebra.special_linear.Eb 0.063221 s: lie_algebra.special_linear.Eb_val 0.008898 s: lie_algebra.special_linear.E_apply_one 0.002212 s: lie_algebra.special_linear.E_apply_zero 0.062839 s: lie_algebra.special_linear.sl_bracket 0.162208 s: lie_algebra.special_linear.sl_non_abelian 0.024895 s: set.finite.convex_hull_eq 0.004945 s: equiv.perm.sigma_congr_right_hom_apply 0.002383 s: dfinsupp.mk.equations._eqn_1 0.000279 s: lt_sub_right_of_add_lt 0.010588 s: witt_vector.aeval_verschiebung_poly 0.139797 s: witt_vector.bind₁_verschiebung_poly_witt_polynomial 0.000046 s: tactic_doc_entry.inherit_description_from._default 0.000036 s: tactic_doc_entry.inherit_description_from._default.equations._eqn_1 0.089146 s: pfun.is_lawful_monad 0.009954 s: mvpfunctor.const.mk_get 0.000244 s: add_equiv.to_multiplicative._proof_5 0.000171 s: isometry.equations._eqn_1 0.000251 s: bool.has_variable_names 0.302656 s: fixed_points.normal.equations._eqn_1 0.024442 s: measurable_space.generate_measurable.drec_on 0.001768 s: rbnode.find._main.equations._eqn_3 0.000283 s: rbnode.find.equations._eqn_3 0.000737 s: with_top.bounded_lattice._proof_10 0.000064 s: onote.NF.out 0.016326 s: ideal.sup_mul_right_self 0.002461 s: add_units.add_comm_group.equations._eqn_1 0.000350 s: set.Iic.semilattice_sup_bot._proof_1 0.000669 s: category_theory.under.under_left 0.000055 s: category_theory.Groupoid.of 0.002046 s: category_theory.pairwise.diagram_map._main.equations._eqn_1 0.001869 s: category_theory.mono_over.inf_obj 0.000182 s: vector3.insert 0.001241 s: finset.single_le_prod' 0.000180 s: turing.partrec_to_TM2.K'.elim._main.equations._eqn_3 0.000053 s: turing.partrec_to_TM2.K'.elim.equations._eqn_3 0.000137 s: eckmann_hilton.is_unital.rec_on 0.001282 s: valuation.map_sum_lt' 0.012220 s: add_valuation.map_lt_sum' 0.008897 s: mv_polynomial.coeff_eq_zero_of_total_degree_lt 0.005793 s: mv_polynomial.sum_homogeneous_component 0.001450 s: finset.union_right_comm 0.000387 s: CommMon_Type_inhabited 0.002839 s: pfunctor.approx.approx_eta 0.023972 s: is_primitive_root.eq_neg_one_of_two_right 0.004068 s: is_bounded_bilinear_map.linear_deriv.equations._eqn_1 0.001076 s: cardinal.to_nat_right_inverse 0.000170 s: cardinal.to_nat_surjective 0.000104 s: bool_eq_false 0.000221 s: wseq.any 0.000200 s: wseq.any.equations._eqn_1 0.000090 s: snum.has_zero.equations._eqn_1 0.000173 s: regular_expression.char.sizeof_spec 0.001051 s: subtype.coind_surjective 0.083912 s: has_strict_fderiv_at.implicit_to_local_homeomorph_fst 0.015856 s: continuous_map.dist_lt_iff_of_nonempty 0.025032 s: intermediate_field.fixed_field.equations._eqn_1 0.000083 s: denumerable.ulift 0.000108 s: denumerable.ulift.equations._eqn_1 0.030579 s: Module.braiding.equations._eqn_1 0.037285 s: measure_theory.measure.add_le_add_left 0.063956 s: fract_add 0.073284 s: fract_mul_nat 0.078445 s: module.finite.trans 0.000095 s: bundle.trivial.inhabited 0.000159 s: bundle.trivial.inhabited.equations._eqn_1 0.016005 s: measurable_space.gi_generate_from.equations._eqn_1 0.012672 s: category_theory.monad.algebra_functor_of_monad_hom_comp.equations._eqn_1 0.000593 s: free_magma.map_of 0.000051 s: tactic.rewrite_search.side.cases_on 0.001965 s: subring.no_confusion_type 0.000084 s: nonempty.drec 0.084540 s: add_monoid_hom.to_real_linear_map.equations._eqn_1 0.035548 s: category_theory.preadditive.has_colimit_parallel_pair 0.000429 s: category_theory.mono.cases_on 0.000630 s: set.indicator_self_add_compl 0.001569 s: rbnode.well_formed.drec 0.000627 s: category_theory.limits.cofork.of_π_X 0.000267 s: ring_quot.rec_on 0.000275 s: quiver.total.sizeof 0.000027 s: tactic.abel.normalize_mode.inhabited 0.000064 s: tactic.abel.normalize_mode.inhabited.equations._eqn_1 0.000083 s: monoid_with_zero_hom.inhabited 0.000269 s: monoid_with_zero_hom.inhabited.equations._eqn_1 0.005568 s: tactic.norm_fin.normalize_fin_lt.succ 0.004809 s: typevec.repeat_eq._sunfold 0.000737 s: category_theory.grothendieck_topology.closure_operator._proof_1 0.000297 s: category_theory.grothendieck_topology.closure_operator._proof_2 0.000438 s: category_theory.grothendieck_topology.closure_operator 0.000927 s: category_theory.grothendieck_topology.closed_iff_closed 0.001105 s: ordnode.find_gt._main 0.000067 s: ordnode.find_gt 0.000332 s: ordnode.find_gt._main.equations._eqn_1 0.000147 s: ordnode.find_gt.equations._eqn_1 0.000937 s: times_cont_mdiff_at.times_cont_diff_at 0.203046 s: id_eq_sum_orthogonal_projection_self_orthogonal_complement 0.032777 s: omega_complete_partial_order.preorder_hom.omega_complete_partial_order.equations._eqn_1 0.002051 s: monoid_algebra.comm_ring._proof_6 0.011604 s: zmod.eq_zero_iff_even 0.000864 s: zmod.ne_zero_iff_odd 0.020681 s: simple_graph.even_card_odd_degree_vertices 0.000532 s: poly.subst.equations._eqn_1 0.155400 s: real.Ioo_eq_ball 0.000064 s: nat.has_mod.equations._eqn_1 0.032670 s: order_dual.distrib_lattice.equations._eqn_1 0.001750 s: linear_map.diag 0.002883 s: linear_map.update_apply 0.011045 s: linear_map.std_basis_eq_pi_diag 0.008528 s: pythagorean_triple.is_classified_of_is_primitive_classified 0.001278 s: open_subgroup.inv_mem 0.006318 s: pi.add_cancel_monoid._proof_2 0.001925 s: pi.add_cancel_monoid._proof_4 0.007275 s: pi.add_cancel_monoid._proof_5 0.005350 s: pi.add_cancel_monoid._proof_6 0.001705 s: pi.add_cancel_monoid 0.001495 s: pi.add_cancel_monoid.equations._eqn_1 0.171085 s: continuous_linear_map.antilipschitz_of_uniform_embedding 0.000096 s: tactic.dsimp_config.single_pass 0.000235 s: option.decidable_eq._match_1._proof_1 0.153798 s: interval_integral.smul_integral_comp_add_mul 0.000158 s: int.le_add_one 0.001367 s: set.singleton_vadd 0.000270 s: set.fintype 0.000128 s: language.complete_boolean_algebra 0.000183 s: NFA.accepts 0.000175 s: NFA.accepts.equations._eqn_1 0.000334 s: ε_NFA.eval.equations._eqn_1 0.016374 s: ε_NFA.to_NFA_correct 0.000185 s: DFA.eval.equations._eqn_1 0.010168 s: NFA.to_DFA_correct 0.000438 s: DFA.mem_accepts 0.002044 s: DFA.eval_from_of_pow 0.011474 s: DFA.pumping_lemma 0.002778 s: NFA.pumping_lemma 0.002128 s: ε_NFA.pumping_lemma 0.000211 s: binder_info.rec_on 0.012881 s: prime_spectrum.punit 0.162346 s: Top.presheaf.pushforward.comp_hom_app 0.000352 s: tactic.norm_fin.normalize_fin_lt.coe 0.000329 s: tactic.norm_fin.normalize_fin_lt.lt 0.016747 s: tactic.norm_fin.normalize_fin.lt 0.053863 s: linear_pmap.coprod.equations._eqn_1 0.010566 s: multiset.forall_of_pairwise 0.000340 s: function.injective.linear_ordered_comm_group._proof_11 0.005614 s: hyperreal.infinite_pos_mul_of_not_infinitesimal_pos_infinite_pos 0.000233 s: gpow.equations._eqn_2 0.001713 s: filter.realizer.inf._match_7.equations._eqn_1 0.001904 s: function.surjective.add_zero_class.equations._eqn_1 0.000334 s: category_theory.limits.has_colimits_op_of_has_limits 0.011171 s: category_theory.monoidal_nat_iso.is_iso_of_is_iso_app 0.013906 s: category_theory.monoidal_nat_iso.is_iso_of_is_iso_app.equations._eqn_1 0.003863 s: sym.sym_equiv_sym'.equations._eqn_1 0.000684 s: finset.has_union.union.is_associative.equations._eqn_1 0.001915 s: monad_writer.mk.inj 0.004572 s: derivation.has_coe_to_fun.equations._eqn_1 0.003280 s: cau_seq.has_mul._match_2.equations._eqn_1 0.000276 s: fraction_map.equations._eqn_1 0.000824 s: ring_hom.is_ring_hom.equations._eqn_1 0.000290 s: multiset.foldr.equations._eqn_1 0.008036 s: matrix.block_diagonal_diagonal 0.002796 s: intermediate_field.to_subalgebra_lt_to_subalgebra 0.000188 s: seq.unzip.equations._eqn_1 0.001191 s: multiset.join_add 0.001962 s: multiset.add_bind 0.004746 s: multiset.bind_assoc 0.007279 s: localization.monoid_of_eq_of 0.006164 s: _private.2667486687.g._main.equations._eqn_2 0.003515 s: equiv.subtype_sigma_equiv._match_2.equations._eqn_1 0.005076 s: semilattice_sup_bot.mk.inj 0.002225 s: continuous_on.div_const 0.001766 s: sub_nsmul_nsmul_add 0.000104 s: is_left_id.cases_on 0.000131 s: has_coe_to_fun.cases_on 0.000094 s: has_coe_to_fun.no_confusion_type 0.005241 s: category_theory.functor.postcompose_whisker_left_map_cone.equations._eqn_1 0.013155 s: finset.abs_prod 0.000231 s: pi.has_top.equations._eqn_1 0.000095 s: has_ssubset.cases_on 0.000074 s: has_ssubset.no_confusion_type 0.000441 s: has_ssubset.no_confusion 0.000231 s: has_ssubset.mk.inj 0.000173 s: has_ssubset.mk.inj_arrow 0.029836 s: has_sum_mul_right_iff 0.000838 s: filter.ne_bot.comap_of_image_mem 0.000152 s: state_t.modify 0.006359 s: simple_graph.edges_fintype.equations._eqn_1 0.000109 s: linarith.ineq.lt.inj_eq 0.001460 s: local_homeomorph.inv_on 0.000815 s: local_homeomorph.bij_on 0.000458 s: local_homeomorph.surj_on 0.000432 s: zmod.val_min_abs._sunfold 0.147430 s: mv_polynomial.vanishing_ideal_singleton_is_maximal.equations._eqn_1 0.000203 s: category_theory.bundled_hom.parent_projection.mk.sizeof_spec 0.000120 s: complete_lattice_of_complete_semilattice_Sup._proof_1 0.000099 s: complete_lattice_of_complete_semilattice_Sup 0.000218 s: complete_space.cases_on 0.000619 s: add_submonoid.coe_copy 0.001027 s: finsupp.comap_distrib_mul_action.equations._eqn_1 0.029468 s: is_free_group.of_mul_equiv._proof_1 0.002059 s: direct_sum.lid._proof_2 0.000148 s: category_theory.biprod.gaussian._proof_7 0.000062 s: category_theory.biprod.gaussian._proof_8 0.005180 s: category_theory.biprod.gaussian._proof_16 0.000291 s: parser.unfailing.decorate_error 0.000079 s: free_add_magma.has_sizeof_inst 0.000686 s: free_add_magma.add.sizeof_spec 0.001561 s: slim_check.nat.sampleable.equations._eqn_1 0.000200 s: rbnode.get_color._main.equations._eqn_3 0.000143 s: rbnode.get_color.equations._eqn_3 0.002757 s: category_theory.limits.pullback_comparison_comp_fst_assoc 0.001645 s: multiset.filter_map_cons_none 0.000845 s: turing.TM0.univ_supports 0.001798 s: lucas_lehmer.s_mod_mod 0.165032 s: lucas_lehmer.s_mod_lt 0.021726 s: power_series.coeff_one_X 0.003713 s: ring_hom.not_one_mem_ker 0.098990 s: ring_hom.ker_is_prime 0.169505 s: power_series.span_X_is_prime 0.056825 s: power_series.X_prime 0.016037 s: category_theory.differential_object.mk.inj_eq 0.004749 s: approximates_linear_on.equations._eqn_1 0.003648 s: nat.sub_le_right_of_le_add 0.001949 s: locally_finite.realizer.to_locally_finite 0.005863 s: locally_finite_iff_exists_realizer 0.128094 s: is_R_or_C.of_real_fpow 0.000486 s: category_theory.to_initial_is_iso.equations._eqn_1 0.029014 s: subring.prod_equiv._proof_4 0.000079 s: io.fs.remove.equations._eqn_1 0.005539 s: pi.add_left_cancel_monoid._proof_6 0.000642 s: order_embedding.to_preorder_hom.equations._eqn_1 0.002297 s: category_theory.limits.ι_comp_coequalizer_comparison_assoc 0.003791 s: category_theory.limits.coequalizer_comparison_map_desc 0.005770 s: category_theory.limits.coequalizer_comparison_map_desc_assoc 0.074150 s: perfection.coeff_iterate_frobenius' 0.000872 s: category_theory.with_terminal.lift._match_1.equations._eqn_1 0.000222 s: rbnode.max.equations._eqn_4 0.000076 s: padic_int.inhabited 0.000074 s: padic_int.inhabited.equations._eqn_1 0.000656 s: add_hom.id_comp 0.010154 s: affine_equiv.symm_to_equiv 0.000822 s: function.involutive.ite_not 0.000277 s: set.inj_on.to_local_equiv.equations._eqn_1 0.000905 s: subgroup.prod_equiv._proof_1 0.014113 s: subgroup.prod_equiv._proof_3 0.015330 s: subgroup.prod_equiv 0.000263 s: dmatrix.add_comm_semigroup 0.039751 s: function.injective.linear_ordered_comm_group._proof_5 0.014332 s: category_theory.functor.functoriality_comp_postcompose.equations._eqn_1 0.000950 s: parser.mono.mmap._main.equations._eqn_1 0.000303 s: parser.mono.mmap.equations._eqn_1 0.010464 s: fin.coe_succ_eq_succ 0.000403 s: add_units.val_coe 0.000042 s: category_theory.limits.walking_pair.right.inj 0.000064 s: category_theory.limits.walking_pair.right.inj_arrow 0.003252 s: truncated_witt_vector.truncate_truncate 0.002109 s: truncated_witt_vector.truncate_comp 0.049225 s: ideal.quotient_algebra.equations._eqn_1 0.017690 s: category_theory.category_of_elements.structured_arrow_equivalence_counit_iso_inv_app_right 0.000201 s: function.has_uncurry.cases_on 0.000096 s: function.has_uncurry.no_confusion_type 0.000590 s: rel_iso.has_coe_to_fun.equations._eqn_1 0.009630 s: measure_theory.outer_measure.semimodule.equations._eqn_1 0.001810 s: smooth_map.C._proof_1 0.001759 s: smooth_map.C._proof_3 0.027974 s: smooth_map.C._proof_4 0.025774 s: smooth_map.C._proof_5 0.021792 s: smooth_map.C._proof_6 0.020060 s: smooth_map.C._proof_7 0.014715 s: smooth_map.C 0.053717 s: times_cont_mdiff_map.algebra._proof_4 0.009722 s: category_theory.creates_limits_of_shape.mk.inj 0.012056 s: metric.nonempty_compacts.dist_eq 0.001084 s: algebra.finite_type.cases_on 0.000947 s: free_semigroup.lift_of 0.000432 s: magma.free_semigroup.lift_of 0.001792 s: free_magma.lift_of 0.003452 s: free_semigroup_free_magma._proof_3 0.000330 s: Ici_mem_nhds 0.001355 s: pi_Ici_mem_nhds 0.000528 s: pi_Ici_mem_nhds' 0.000251 s: enorm.semilattice_sup_top._proof_1 0.000351 s: enorm.semilattice_sup_top._proof_3 0.000456 s: enorm.semilattice_sup_top._proof_4 0.000783 s: enorm.top_map 0.054505 s: enorm.semilattice_sup_top._proof_5 0.006863 s: enorm.semilattice_sup_top._proof_6 0.043418 s: enorm.semilattice_sup_top._proof_7 0.000391 s: ennreal.mul_max 0.008994 s: enorm.semilattice_sup_top._proof_8 0.001229 s: enorm.semilattice_sup_top._proof_9 0.000577 s: enorm.semilattice_sup_top._proof_10 0.017431 s: enorm.semilattice_sup_top 0.002645 s: enorm.max_map 0.001125 s: measure_theory.ae_eq_fun.coe_fn_one 0.008276 s: category_theory.biprod.iso_elim'.equations._eqn_1 0.000356 s: filter.eventually_le.eventually_le_nhds 0.001767 s: has_measurable_pow.cases_on 0.000430 s: has_measurable_pow.no_confusion_type 0.000886 s: has_measurable_pow.no_confusion 0.010913 s: cau_seq.comm_ring.equations._eqn_1 0.002911 s: equiv.prod_sum_distrib.equations._eqn_1 0.008292 s: category_theory.limits.cokernel_comp_is_iso._proof_3 0.000689 s: ring.direct_limit.ring.equations._eqn_1 0.000277 s: pos_num.mul._main.equations._eqn_1 0.000043 s: pos_num.mul.equations._eqn_1 0.000376 s: rack.pre_envel_group_rel'.act_incl.inj_arrow 0.000162 s: onote.mul_nat._main.equations._eqn_1 0.014960 s: category_theory.lax_monoidal_functor.map_Mon_map_hom 0.000572 s: erased.bind.equations._eqn_1 0.000108 s: string.quote_aux._sunfold 0.001089 s: list.has_dec_eq._main.equations._eqn_2 0.000277 s: list.has_dec_eq.equations._eqn_2 0.003038 s: Module.colimits.colimit_cocone_is_colimit.equations._eqn_1 0.000105 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.some.inj_arrow 0.000109 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.some.inj 0.000039 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.some.inj_arrow 0.084362 s: affine.simplex.points_with_circumcenter._main.equations._eqn_1 0.000718 s: bitvec.sborrow._match_1.equations._eqn_1 0.000211 s: tactic.ring2.csring_expr.rec_on 0.000126 s: category_theory.comm_monoid_of_skeletal_braided._proof_1 0.000099 s: category_theory.comm_monoid_of_skeletal_braided._proof_3 0.009905 s: category_theory.comm_monoid_of_skeletal_braided._proof_5 0.000260 s: category_theory.comm_monoid_of_skeletal_braided._proof_6 0.002142 s: category_theory.comm_monoid_of_skeletal_braided 0.001363 s: category_theory.comm_monoid_of_skeletal_braided.equations._eqn_1 0.005141 s: direct_sum.gmonoid.cases_on 0.002193 s: direct_sum.gmonoid.no_confusion_type 0.001313 s: direct_sum.gmonoid.no_confusion 0.002765 s: parser.foldl_core_eq_done 0.000771 s: multiset.ndunion.equations._eqn_1 0.000131 s: option.melim 0.000110 s: option.mget_or_else 0.000207 s: option.mget_or_else.equations._eqn_1 0.003756 s: category_theory.subobject.sup_factors_of_factors_right 0.001656 s: rel_hom.coe_fn_inj 0.000152 s: Class.has_emptyc.equations._eqn_1 0.000687 s: pochhammer._sunfold 0.000384 s: category_theory.limits.reflects_colimits_of_shape.sizeof 0.000155 s: category_theory.limits.reflects_colimits_of_shape.has_sizeof_inst 0.001769 s: category_theory.subobject.sup_factors_of_factors_left 0.006981 s: category_theory.subobject.finset_sup_factors 0.017780 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso_hom_app_to_nat_trans_app 0.025994 s: submodule.has_one.equations._eqn_1 0.001241 s: monoid_hom.to_mul_hom_coe 0.013469 s: category_theory.comonad_hom.sizeof 0.008571 s: category_theory.comonad_hom.mk.sizeof_spec 0.001184 s: subgroup.coe_inv 0.000347 s: encodable.mk.inj 0.000116 s: quotient.topological_space.equations._eqn_1 0.001644 s: category_theory.limits.mono_factorisation.iso_comp._proof_1 0.000480 s: category_theory.limits.mono_factorisation.iso_comp 0.000750 s: category_theory.limits.mono_factorisation.iso_comp_e 0.000881 s: continuous.image_connected_component_subset 0.002168 s: mv_power_series.monomial_zero_eq_C_apply 0.081783 s: polynomial.root_multiplicity_X_sub_C_pow 0.105296 s: polynomial.root_multiplicity_of_dvd 0.012304 s: min_pow_dvd_add 0.084896 s: polynomial.root_multiplicity_add 0.000149 s: omega.int.preform.implies.equations._eqn_1 0.000672 s: ordnode.erase_min._main.equations._eqn_1 0.000082 s: ordnode.erase_min.equations._eqn_1 0.000097 s: algebraic_geometry.SheafedSpace.forget._proof_1 0.000059 s: algebraic_geometry.SheafedSpace.forget._proof_3 0.000089 s: algebraic_geometry.SheafedSpace.forget._proof_5 0.000132 s: algebraic_geometry.SheafedSpace.forget._proof_6 0.000063 s: algebraic_geometry.SheafedSpace.forget._proof_7 0.022909 s: algebraic_geometry.SheafedSpace.forget 0.005323 s: algebraic_geometry.SheafedSpace.forget.equations._eqn_1 0.000523 s: array.mmap_core.equations._eqn_1 0.004819 s: category_theory.cartesian_closed_functor.cases_on 0.002152 s: category_theory.cartesian_closed_functor.no_confusion_type 0.003164 s: category_theory.cartesian_closed_functor.no_confusion 0.005205 s: lie_subalgebra.coe_hom_of_le 0.000525 s: multiplicity.one_left 0.000256 s: multiset.nodup_map_iff_inj_on 0.037093 s: rat.infinite.equations._eqn_1 0.000300 s: ordnode.of_list.equations._eqn_1 0.000540 s: seq1.monad.equations._eqn_1 0.009111 s: tensor_product.tmul_ite 0.001774 s: vector.take._sunfold 0.000273 s: turing.fin_tm2.inhabited_cfg 0.002525 s: continuous_linear_map.deriv 0.001963 s: monad_io_file_system.mk.inj 0.002520 s: monad_io_file_system.mk.inj_arrow 0.001151 s: _private.2519719693.traverse_aux._main.equations._eqn_1 0.000632 s: list.decidable_infix.equations._eqn_3 0.019632 s: SemiRing.has_limits.limit_cone_is_limit.equations._eqn_1 0.010573 s: add_submonoid.localization_map.map_comp 0.000154 s: order_dual.of_dual.equations._eqn_1 0.000315 s: order_dual.to_dual.equations._eqn_1 0.007098 s: finset.min'_eq_of_dual_max' 0.001772 s: nat.lt_find_iff 0.003821 s: category_theory.thin_skeleton.from_thin_skeleton.equations._eqn_1 0.032990 s: cau_seq.cauchy_seq 0.038170 s: cauchy_seq.is_cau_seq 0.001241 s: cau_seq_iff_cauchy_seq 0.033607 s: complete_space_of_cau_seq_complete 0.014784 s: padic_int.complete_space 0.041359 s: times_cont_diff_on.ccos 0.015344 s: category_theory.comma.iso_mk_hom_right 0.000212 s: separated_space.drec_on 0.000117 s: lazy_list.tail._main 0.027947 s: add_monoid_hom.distrib_mul_action.equations._eqn_1 0.000103 s: subsingleton_info.sizeof 0.000037 s: subsingleton_info.has_sizeof_inst 0.005188 s: filter.tendsto_at_bot_mono 0.000905 s: is_monoid_hom.drec 0.001680 s: lie_hom.ker.equations._eqn_1 0.079383 s: is_precomplete.drec_on 0.000158 s: num.gcd 0.000032 s: znum.gcd 0.000199 s: num.gcd.equations._eqn_1 0.000978 s: pos_num.nat_size_pos 0.000182 s: num.gcd_aux.equations._eqn_3 0.000286 s: pos_num.nat_size._main.equations._eqn_3 0.000104 s: pos_num.nat_size.equations._eqn_3 0.018230 s: pos_num.size_eq_nat_size 0.002475 s: num.size_eq_nat_size 0.000196 s: num.nat_size_to_nat 0.034896 s: num.gcd_to_nat_aux 0.019133 s: num.gcd_to_nat 0.001887 s: znum.gcd_to_nat 0.000143 s: Top.sheaf_to_Top._proof_2 0.000226 s: Top.sheaf_to_Top._proof_3 0.000154 s: Top.sheaf_to_Top._proof_4 0.000069 s: Top.sheaf_to_Top._proof_5 0.014841 s: Top.subpresheaf_continuous_prelocal_iso_presheaf_to_Top._proof_1 0.050674 s: Top.subpresheaf_continuous_prelocal_iso_presheaf_to_Top._proof_3 0.015961 s: Top.subpresheaf_continuous_prelocal_iso_presheaf_to_Top 0.002272 s: Top.sheaf_to_Top 0.001802 s: Top.sheaf_to_Top.equations._eqn_1 0.002185 s: tendsto_locally_uniformly_on.continuous_on 0.002198 s: tendsto_locally_uniformly_on.comp 0.055069 s: dist_le_of_le_geometric_of_tendsto 0.012705 s: norm_sub_le_of_geometric_bound_of_has_sum 0.078645 s: div_le_one_of_le 0.605744 s: has_fpower_series_on_ball.uniform_geometric_approx' 0.077060 s: has_fpower_series_on_ball.uniform_geometric_approx 0.391043 s: has_fpower_series_on_ball.tendsto_uniformly_on 0.053526 s: has_fpower_series_on_ball.tendsto_locally_uniformly_on 0.006327 s: has_fpower_series_on_ball.tendsto_locally_uniformly_on' 0.007139 s: formal_multilinear_series.partial_sum_continuous 0.004868 s: has_fpower_series_on_ball.continuous_on 0.009377 s: poly.comm_ring.equations._eqn_1 0.000063 s: expr_lens.dir.no_confusion_type 0.000812 s: power_series.is_unit_constant_coeff 0.001237 s: structure_groupoid.local_invariant_prop.lift_prop_on_congr_iff 0.002499 s: times_cont_mdiff_on_congr 0.000680 s: finsupp.prod_mul 0.000033 s: 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set.fintype_singleton.equations._eqn_1 0.000230 s: lazy_list.nth.equations._eqn_3 0.000714 s: wseq.cases_on.equations._eqn_1 0.000257 s: category_theory.creates_colimits.no_confusion_type 0.000546 s: category_theory.creates_colimits.no_confusion 0.000496 s: category_theory.creates_colimits.mk.inj 0.000267 s: category_theory.creates_colimits.mk.inj_arrow 0.025234 s: local_equiv.restr_coe_symm 0.006992 s: diffeomorph.range_comp 0.030598 s: diffeomorph.smooth_manifold_with_corners_trans_diffeomorph 0.037387 s: diffeomorph.smooth_manifold_with_corners_trans_diffeomorph.equations._eqn_1 0.007377 s: pfun.as_subtype.equations._eqn_1 0.003498 s: pfun.preimage_as_subtype 0.004713 s: mem_segment_translate 0.003707 s: segment_translate_preimage 0.004375 s: continuous_linear_map.coe_cod_restrict 0.000319 s: parser.err_static.eof 0.000402 s: parser.err_static.eof.equations._eqn_1 0.001435 s: finset.exists_ne_one_of_prod_ne_one 0.000055 s: fp.rmode.sizeof 0.000017 s: fp.rmode.has_sizeof_inst 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0.000474 s: pfunctor.M.cases_on'._match_1.equations._eqn_1 0.000165 s: slim_check.gen.permutation_of._match_2._proof_1 0.001177 s: slim_check.gen.permutation_of._match_2.equations._eqn_1 0.000060 s: has_sub.cases_on 0.000118 s: has_sub.no_confusion_type 0.000198 s: has_sub.no_confusion 0.003485 s: prod.topological_group 0.002040 s: prod.topological_group.equations._eqn_1 0.001048 s: pfunctor.approx.cofix_a.brec_on 0.000223 s: option.orelse._main.equations._eqn_1 0.000113 s: option.orelse.equations._eqn_1 0.004053 s: finsupp.lapply.equations._eqn_1 0.000818 s: category_theory.evaluation_uncurried_obj 0.000083 s: pos.mk.sizeof_spec 0.003092 s: prime_spectrum.zero_locus_anti_mono 0.002612 s: measurable_of_Ioi 0.000137 s: int.has_pow.equations._eqn_1 0.031528 s: bilin_form.to_matrix'_symm 0.001558 s: monad_reader_adapter.mk.sizeof_spec 0.000469 s: stone_cech.inhabited 0.000264 s: stone_cech.inhabited.equations._eqn_1 0.000405 s: list.has_decidable_lt._match_3.equations._eqn_1 0.000183 s: option.lhoare._main 0.000025 s: option.lhoare 0.000098 s: option.lhoare._main.equations._eqn_1 0.000069 s: option.lhoare.equations._eqn_1 0.009325 s: nat.prime_three 0.000203 s: add_left_surjective 0.002401 s: ordered_cancel_add_comm_monoid.sizeof 0.002747 s: list.zip_map' 0.001102 s: list.map_prod_right_eq_zip 0.003027 s: measure_theory.measure.ae_eval_ne 0.005727 s: linear_nonneg_ring.to_linear_order.equations._eqn_1 0.004691 s: diffeomorph.rec_on 0.004274 s: ulift.group._proof_4 0.000399 s: category_theory.limits.preserves_colimits_of_shape.sizeof 0.000195 s: category_theory.limits.preserves_colimits_of_shape.has_sizeof_inst 0.000793 s: category_theory.differential_object.shift_inverse_obj_2 0.013427 s: category_theory.cofinal.cones_equiv_counit_iso 0.004641 s: category_theory.mono_over.top_le_pullback_self._proof_1 0.002923 s: local_equiv.piecewise_apply 0.154084 s: algebraic_geometry.res_const 0.000453 s: monad_io_terminal.mk.sizeof_spec 0.004217 s: ring_hom.map_finsupp_prod 0.105386 s: is_R_or_C.of_real_finsupp_prod 0.000053 s: auto.case_option.force.inj 0.000030 s: auto.case_option.force.inj_arrow 0.002948 s: CommRing.colimits.desc_fun_lift._main.equations._eqn_6 0.000437 s: CommRing.colimits.desc_fun_lift.equations._eqn_6 0.017890 s: semi_normed_comm_ring.to_comm_ring.equations._eqn_1 0.003144 s: category_theory.limits.limit.pre.equations._eqn_1 0.006172 s: is_lawful_applicative.comp_map._default 0.002987 s: is_lawful_applicative.comp_map._default.equations._eqn_1 0.005105 s: category_theory.limits.biproduct.map_desc 0.000791 s: rack.pre_envel_group_rel'.congr_inv.sizeof_spec 0.000922 s: list.reverse_concat 0.000264 s: set.maps_to_range 0.001887 s: set.univ_add_univ 0.001817 s: pi.normed_space.equations._eqn_1 0.000653 s: quot.rec_on.equations._eqn_1 0.012338 s: category_theory.Lan.equiv_apply_app 0.000596 s: pi.has_involutive_star.equations._eqn_1 0.005264 s: category_theory.limits.inhabited_cone_morphism._proof_1 0.000822 s: category_theory.limits.inhabited_cone_morphism 0.003178 s: Icc_right_chart._proof_1 0.040516 s: Icc_right_chart._proof_3 0.084005 s: Icc_right_chart._proof_4 0.107258 s: Icc_right_chart._proof_5 0.126261 s: Icc_right_chart._proof_6 0.024567 s: Icc_right_chart._proof_7 0.009982 s: Icc_right_chart._proof_8 0.162762 s: Icc_right_chart._proof_9 0.177287 s: Icc_right_chart._proof_10 0.059249 s: Icc_right_chart 0.013954 s: Icc_manifold._proof_1 0.001879 s: Icc_manifold._proof_2 0.000880 s: Icc_manifold 0.000248 s: set.Icc.charted_space 0.046936 s: Icc_right_chart.equations._eqn_1 0.007175 s: local_homeomorph.mk_coe 0.009626 s: local_homeomorph.mk_coe_symm 0.001908 s: model_with_corners.mk_symm 0.003336 s: pi_Lp.add_apply 0.269284 s: Icc_smooth_manifold 0.119450 s: set.Icc.smooth_manifold_with_corners 0.096052 s: set.Icc.smooth_manifold_with_corners.equations._eqn_1 0.000743 s: isometric.symm_symm 0.000970 s: of_mul_inv 0.000359 s: subring.closure_eq_of_le 0.015204 s: monoid_hom.prod_unique 0.000166 s: finsets.has_emptyc 0.000135 s: pi_Lp.equations._eqn_1 0.010034 s: ordnode.size_eq_real_size 0.034423 s: free_comm_ring_punit_equiv_polynomial_int.equations._eqn_1 0.012307 s: equiv.set.powerset._match_1 0.000194 s: function.comp_const_right 0.001699 s: category_theory.limits.cone.equiv_hom_fst 0.000072 s: fp.rmode.cases_on 0.000030 s: fp.rmode.no_confusion_type 0.004505 s: category_theory.limits.combine_cocones_X_map 0.000020 s: tactic.interactive.case_tag.repr 0.000170 s: tactic.interactive.case_tag.repr.equations._eqn_1 0.013939 s: ring.direct_limit.of_injective 0.001930 s: turing.TM1to1.writes._main.equations._eqn_3 0.003954 s: submodule.one_le 0.005679 s: submodule.nat_power_direct_sum_gcomm_monoid._proof_1 0.001064 s: category_theory.split_epi.cases_on 0.000758 s: category_theory.split_epi.no_confusion_type 0.000185 s: category_theory.mono_over.pullback_self._proof_1 0.006328 s: category_theory.mono_over.top_le_pullback_self._proof_2 0.013174 s: category_theory.mono_over.top_le_pullback_self 0.001138 s: category_theory.mono_over.pullback_self 0.002378 s: category_theory.subobject.pullback_self 0.005935 s: mul_neg_one_pow_eq_zero_iff 0.017353 s: nat.arithmetic_function.mul_zeta_apply 0.142446 s: is_dedekind_domain.drec_on 0.050645 s: polynomial.map.is_ring_hom.equations._eqn_1 0.009978 s: lie_hom.inverse.equations._eqn_1 0.000299 s: turing.to_partrec.code.cons.inj 0.000331 s: turing.to_partrec.code.cons.inj_eq 0.000086 s: std.priority.max 0.000410 s: free_add_semigroup.traverse_eq 0.003092 s: num.lor_to_nat 0.000067 s: cardinal.equations._eqn_1 0.001000 s: submodule.to_linear_ordered_add_comm_group._proof_3 0.086162 s: matrix.reindex_lie_equiv_apply 0.143109 s: lie_algebra.orthogonal.indefinite_diagonal_assoc 0.016574 s: fin.order_iso_subsingleton.equations._eqn_1 0.000950 s: linarith.linexp.get._main.equations._eqn_2 0.000254 s: is_per 0.000117 s: is_per.to_is_trans 0.002071 s: set.Icc.bounded_lattice._proof_3 0.020076 s: le_add_of_neg_add_le 0.004395 s: le_add_of_neg_add_le_right 0.001016 s: finset.prod_multiset_count 0.005936 s: nat.mem_factors_iff_dvd 0.005675 s: nat.factors_add_two 0.001525 s: padic_val_nat_zero 0.085393 s: padic_val_nat.div 0.052765 s: padic_val_nat.mul 0.015976 s: padic_val_nat.div' 0.175338 s: padic_val_nat_eq_factors_count 0.045553 s: prod_pow_prime_padic_val_nat 0.000401 s: prod.snd_inv 0.010633 s: exists_Union_eq_closure_subset 0.034673 s: ennreal.nhds_zero 0.083404 s: measure_theory.exists_pos_set_lintegral_lt_of_measure_lt 0.040640 s: measure_theory.tendsto_set_lintegral_zero 0.004611 s: is_add_group_hom.drec 0.000168 s: Compactum.equations._eqn_1 0.075051 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_app_hom_hom 0.011302 s: ctop.realizer.nhds._match_6.equations._eqn_1 0.007814 s: tactic_doc._2583562849 0.069201 s: linear_isometry.integral_comp_comm 0.000392 s: is_mul_hom.drec 0.012162 s: slim_check.or_counter_example._sunfold 0.005769 s: int.sub_div_of_dvd_sub 0.000383 s: with_top.can_lift.equations._eqn_1 0.000322 s: AddCommGroup.biproduct_iso_pi._proof_1 0.000816 s: add_monoid_hom.apply_apply 0.007364 s: AddCommGroup.has_limit.lift_apply 0.016228 s: AddCommGroup.has_limit.product_limit_cone._proof_1 0.016140 s: AddCommGroup.has_limit.product_limit_cone._proof_2 0.004487 s: AddCommGroup.has_limit.product_limit_cone 0.000198 s: AddCommGroup.biproduct_iso_pi._proof_3 0.001973 s: AddCommGroup.biproduct_iso_pi 0.001061 s: category_theory.is_split_coequalizer.rec_on 0.001471 s: category_theory.over.construct_products.cones_equiv_inverse_obj_2 0.001505 s: category_theory.functorial.rec_on 0.000437 s: state_t.monad_state 0.000426 s: lazy_list.tail._main.equations._eqn_2 0.000380 s: ordinal.has_add._match_9.equations._eqn_1 0.008956 s: lazy_list.is_lawful_traversable._proof_2 0.002748 s: nat.mul_left_eq_self_iff 0.000355 s: category_theory.limits.is_terminal.mono_from 0.000253 s: category_theory.limits.terminal.mono_from 0.000744 s: char.has_variable_names._proof_1 0.000115 s: char.has_variable_names 0.000063 s: char.has_variable_names.equations._eqn_1 0.000592 s: free_group.reduce.cons 0.024313 s: ideal.map_infi_comap_of_surjective 0.018914 s: category_theory.functor.pentagon 0.004406 s: category_theory.functor.map_hom_inv 0.004772 s: subring.list_prod_mem 0.000193 s: list.alternating_prod._sunfold 0.002471 s: option.join_map_eq_map_join 0.001946 s: enorm.finite_subspace.metric_space.equations._eqn_1 0.001482 s: ordinal.partial_order._match_3.equations._eqn_1 0.004563 s: order_dual.semilattice_inf.equations._eqn_1 0.012783 s: topological_space.opens.map.equations._eqn_1 0.000784 s: set.finite.preimage_embedding 0.003273 s: set.finite_option 0.000349 s: real.tan_surjective 0.000431 s: units.inv_mul' 0.000128 s: nzsnum.tail.equations._eqn_2 0.086747 s: adic_completion.of.equations._eqn_1 0.000284 s: rel_iso.simps.symm_apply 0.044595 s: has_ftaylor_series_up_to.cases_on 0.005291 s: mv_polynomial.comap_equiv_symm_coe 0.000158 s: ε_NFA.sizeof 0.004303 s: psigma.rev_lex_accessible 0.000421 s: psigma.rev_lex_wf 0.000279 s: psigma.skip_left_wf 0.085325 s: subring.domain._match_1.equations._eqn_1 0.001785 s: Top.adj₁._proof_1 0.002495 s: set.sInter_eq_univ 0.011574 s: lie_subalgebra.is_cartan_subalgebra.rec_on 0.000283 s: ring_hom.to_int_alg_hom._proof_1 0.000253 s: ring_hom.to_int_alg_hom._proof_2 0.000286 s: ring_hom.to_int_alg_hom._proof_4 0.016855 s: ring_hom.to_int_alg_hom._proof_5 0.001150 s: ring_hom.to_int_alg_hom 0.009689 s: polynomial.ring_hom_eval₂_algebra_map_int 0.000811 s: triv_sq_zero_ext.distrib_mul_action.equations._eqn_1 0.000100 s: is_extensional.rec_on 0.000237 s: tendsto_of_tendsto_of_dist 0.001816 s: ordnode.valid'.of_gt 0.000150 s: pos_num.min_fac._sunfold 0.000591 s: set.preimage_mul_right_singleton 0.001918 s: is_closed_map_mul_right 0.002267 s: topological_group.t1_space 0.000845 s: equiv.const_vsub.equations._eqn_1 0.002741 s: is_o_coe_const_pow_of_one_lt 0.000558 s: set.one_nonempty 0.004321 s: cardinal.mk_union_of_disjoint 0.000168 s: fin.find._main._proof_3 0.000075 s: fin.find._main._proof_2 0.004950 s: fin.find_spec 0.007252 s: fin.is_some_find_iff 0.001733 s: fin.find_eq_none_iff 0.006742 s: fin.find_min 0.000776 s: fin.find_min' 0.002335 s: fin.mem_find_iff 0.000858 s: fin.mem_find_of_unique 0.001146 s: ordinal.typein_iso._proof_3 0.002228 s: ordinal.typein_iso 0.002446 s: ordinal.type_subrel_lt 0.000278 s: is_atomic.rec_on 0.000223 s: slim_check.retry._match_1.equations._eqn_2 0.001130 s: Mon_.equiv_lax_monoidal_functor_punit_functor 0.000929 s: asymptotics.is_o_comm 0.004302 s: submonoid.localization_map.of_mul_equiv_of_localizations_eq_iff_eq 0.000357 s: omega.ee.repr._main.equations._eqn_2 0.000105 s: psum.inhabited_right 0.000100 s: slim_check.test_result.inhabited 0.003335 s: polynomial.iterate_derivative_add 0.000056 s: nat.decidable_exists_lt 0.003741 s: metric_space_of_normed_group_of_add_torsor.equations._eqn_1 0.005082 s: submonoid.localization_map.inv_unique 0.002501 s: equiv.prod_congr._match_1.equations._eqn_1 0.001270 s: category_theory.is_iso.comp_is_iso.equations._eqn_1 0.003771 s: category_theory.limits.diagram_iso_pair_inv_app 0.002265 s: ulift.comm_semigroup._proof_2 0.000271 s: ulift.comm_semigroup 0.006002 s: category_theory.functor.functoriality_comp_precompose_hom_app_hom 0.000368 s: mul_equiv.simps.symm_apply.equations._eqn_1 0.000188 s: is_right_null.dcases_on 0.002504 s: direct_sum.ghas_one.of_submodules.equations._eqn_1 0.000693 s: category_theory.Kleisli.id_def 0.000083 s: category_theory.equivalence.thin_skeleton_order_iso._proof_1 0.000194 s: category_theory.equivalence.thin_skeleton_order_iso._proof_2 0.000113 s: category_theory.equivalence.thin_skeleton_order_iso._proof_3 0.004399 s: category_theory.equivalence.thin_skeleton_order_iso 0.000240 s: types.subobject_equiv_set._proof_1 0.001744 s: types.subobject_equiv_set 0.001141 s: types.subobject_equiv_set.equations._eqn_1 0.000222 s: bifunctor.functor.equations._eqn_1 0.002172 s: Compactum.join.equations._eqn_1 0.000232 s: tactic.interactive.case_tag.hyps.inj 0.000854 s: invertible_unique 0.000124 s: mvpfunctor.sizeof 0.000041 s: mvpfunctor.has_sizeof_inst 0.000469 s: mvqpf.sizeof 0.001603 s: mvqpf.mk.sizeof_spec 0.005010 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal_obj_to_functor_map 0.000134 s: has_insert.no_confusion_type 0.000332 s: has_insert.no_confusion 0.000163 s: has_insert.mk.inj 0.000084 s: has_insert.mk.inj_arrow 0.000530 s: omega_complete_partial_order.continuous.of_bundled 0.003644 s: omega_complete_partial_order.const_continuous' 0.001315 s: omega_complete_partial_order.continuous_hom.map_continuous' 0.015271 s: matrix.special_linear_group.coe_to_GL 0.017682 s: matrix.special_linear_group.to_GL_one 0.016723 s: matrix.special_linear_group.embedding_GL._proof_1 0.023803 s: matrix.special_linear_group.to_GL_mul 0.000278 s: matrix.special_linear_group.inhabited 0.018896 s: matrix.special_linear_group.embedding_GL._proof_2 0.015035 s: matrix.special_linear_group.embedding_GL 0.012398 s: matrix.special_linear_group.embedding_GL.equations._eqn_1 0.001031 s: set.Ico.semilattice_inf.equations._eqn_1 0.005927 s: monoid_hom.coprod_unique 0.008935 s: monoid_hom.coprod_inl_inr 0.006618 s: finsupp.subtype_domain_neg 0.001716 s: category_theory.limits.prod.map_id_comp_assoc 0.000152 s: list.exists_of_mem_join 0.000974 s: pseudo_emetric_space.replace_uniformity.equations._eqn_1 0.000149 s: onote.rec_on 0.000436 s: rbtree.inhabited.equations._eqn_1 0.000022 s: io.mode.write.inj 0.000036 s: io.mode.write.inj_eq 0.000148 s: measurable_set.Inter_fintype 0.004249 s: category_theory.differential_object.shift_functor_map_f 0.002271 s: category_theory.Monad.Monad_Mon_equiv.unit_iso.equations._eqn_1 0.000839 s: infi_sigma 0.005629 s: supr_sigma 0.000662 s: many_one_degree.lift_on.equations._eqn_1 0.000030 s: io.process.spawn_args.stdin._default 0.000037 s: io.process.spawn_args.stdin._default.equations._eqn_1 0.000255 s: set_like.rec_on 0.000351 s: is_fw_invariant.is_invariant 0.105481 s: category_theory.whiskering_right.equations._eqn_1 0.015315 s: category_theory.limits.preserves_limit_subsingleton.equations._eqn_1 0.000239 s: monad_except_adapter.cases_on 0.000109 s: monad_except_adapter.no_confusion_type 0.002898 s: hash_map.valid.dcases_on 0.000028 s: norm_cast.label.has_sizeof_inst 0.007409 s: typevec.prod.map._sunfold 0.000347 s: fin.sub._main.equations._eqn_1 0.000123 s: fin.sub.equations._eqn_1 0.000326 s: finset.sup.equations._eqn_1 0.009208 s: rack.to_envel_group.map.equations._eqn_1 0.000333 s: locally_finite.fintype_of_compact.equations._eqn_1 0.000171 s: filter.eventually_eq.eventually 0.000186 s: closed_embedding.rec_on 0.003248 s: algebra.to_comap.equations._eqn_1 0.001886 s: dense.inter_of_open_left 0.000151 s: dense.inter_of_open_right 0.000530 s: pnat.coe_eq_one_iff 0.000570 s: pnat.dvd_prime 0.001683 s: category_theory.functor.unop_map 0.000037 s: buffer.write' 0.000233 s: buffer.write'._main.equations._eqn_1 0.000163 s: buffer.write'.equations._eqn_1 0.207798 s: is_R_or_C.re_clm.equations._eqn_1 0.056241 s: category_theory.limits.coprod.functor_left_comp._proof_1 0.007742 s: category_theory.limits.coprod.functor_left_comp 0.069700 s: real.differentiable_cosh 0.149976 s: real.continuous_cosh 0.000239 s: real.measurable_cosh 0.000221 s: measurable.cosh 0.017236 s: galois_connection.to_galois_coinsertion.equations._eqn_1 0.019009 s: has_fderiv_within_at.iterate 0.047475 s: has_deriv_within_at.iterate 0.000356 s: galois_insertion.dual._proof_1 0.001489 s: galois_insertion.dual 0.008832 s: galois_insertion.dual.equations._eqn_1 0.003715 s: fin.coe_embedding 0.002439 s: fin.fin.lt.is_well_order 0.176984 s: quaternion.domain.equations._eqn_1 0.052991 s: category_theory.limits.has_kernel_comp_mono.equations._eqn_1 0.000130 s: rsimp.config.no_confusion_type 0.000330 s: rsimp.config.no_confusion 0.003917 s: inf_supr_eq 0.018738 s: sup_infi_eq 0.079089 s: irrational.of_inv 0.001680 s: irrational.inv 0.010332 s: real.continuous_inv 0.002487 s: real.continuous.inv 0.001350 s: measurable_equiv.set.range_inl._match_1.equations._eqn_2 0.000447 s: setoid.map_of_surjective.equations._eqn_1 0.000612 s: Module.colimits.prequotient.neg.inj 0.000314 s: Module.colimits.prequotient.neg.inj_eq 0.000112 s: rbnode.mk_insert_result._main.equations._eqn_4 0.000063 s: rbnode.mk_insert_result.equations._eqn_4 0.005146 s: free_monoid.comp_lift 0.001735 s: free_monoid.hom_map_lift 0.001380 s: nonneg_add_comm_group.zero_lt_iff_nonneg_nonneg 0.000855 s: list.has_decidable_lt._match_2.equations._eqn_2 0.002047 s: finset.image_const 0.001063 s: add_localization.induction_on₃ 0.001855 s: mv_power_series.constant_coeff_zero 0.037539 s: mv_power_series.inv_eq_zero 0.008800 s: power_series.inv_eq_zero 0.004799 s: normed_group.mk.sizeof_spec 0.000187 s: has_lt.lt.is_order_connected.equations._eqn_1 0.065450 s: continuous_linear_map.lmul.equations._eqn_1 0.000902 s: associates.le_mul_right 0.010848 s: filter.frequently_Sup 0.005584 s: category_theory.braided_functor.comp_to_nat_trans 0.000250 s: except_t.lift.equations._eqn_1 0.004090 s: smooth_on_iff_target 0.000386 s: computation.bisim_o._main.equations._eqn_2 0.004036 s: cardinal.wo.equations._eqn_1 0.000479 s: lex_linear_order._proof_4 0.006962 s: pos_num.decidable_prime._main._proof_2 0.000419 s: lt_mul_of_lt_of_one_lt 0.001351 s: set.nonempty_interval 0.061719 s: set.preimage_div_const_interval 0.042944 s: set.image_mul_const_interval 0.000092 s: lazy_list.mem.decidable._main._proof_1 0.004688 s: lazy_list.mem.decidable._main._proof_2 0.005508 s: lazy_list.mem.decidable._main.equations._eqn_2 0.000242 s: sum.is_left._main.equations._eqn_2 0.000102 s: sum.is_left.equations._eqn_2 0.005988 s: function.injective.group.equations._eqn_1 0.005638 s: Magma.forget_reflects_isos 0.001034 s: order_embedding.le_map_sup 0.000299 s: prod.has_add.equations._eqn_1 0.000838 s: hahn_series.multiplicative.linear_ordered_comm_group._proof_5 0.000405 s: field_of_integral_domain._proof_4 0.001048 s: measure_theory.measure.finite_at_filter.measure_mono 0.002707 s: locally_constant.add_comm_monoid.equations._eqn_1 0.003348 s: category_theory.monoidal_of_chosen_finite_products.tensor_hom.equations._eqn_1 0.001277 s: is_noetherian_submodule'.equations._eqn_1 0.000113 s: iff_eq_of_eq_true_left 0.004170 s: uniform_space.completion.is_add_group_hom_extension 0.001048 s: is_add_hom.comp 0.000691 s: is_add_group_hom.comp 0.001562 s: uniform_space.completion.is_add_group_hom_map 0.001630 s: finset.insert_sdiff_of_mem 0.002231 s: formal_multilinear_series.right_inv._main.equations._eqn_1 0.001619 s: formal_multilinear_series.right_inv.equations._eqn_1 0.000123 s: ordnode.find._match_1.equations._eqn_3 0.000196 s: well_founded.drec 0.019240 s: category_theory.limits.is_colimit.of_cocone_equiv_apply_desc 0.004758 s: units.coe_map_inv 0.016038 s: power_series.map_inv_units_sub 0.000772 s: list.decidable_bex.equations._eqn_2 0.002146 s: category_theory.limits.has_product_of_has_biproduct.equations._eqn_1 0.000101 s: category_theory.limits.wide_pushout_shape.hom.has_sizeof_inst 0.003767 s: rat.uniform_add_group.equations._eqn_1 0.002569 s: category_theory.symmetric_category.symmetry' 0.001636 s: finset.piecewise_compl 0.000184 s: dvd_add_self_right 0.000144 s: real.one_le_exp_iff 0.000266 s: list.iota._main.equations._eqn_1 0.000172 s: category_theory.limits.colim_coyoneda._proof_1 0.000681 s: monoid_hom.comm_group._proof_5 0.004918 s: monotone_Sup_of_monotone 0.003138 s: category_theory.comma.snd.equations._eqn_1 0.008971 s: filter.coprod_cofinite 0.000259 s: order_dual.has_lt.equations._eqn_1 0.001908 s: continuous_linear_map.no_confusion_type 0.000573 s: list.erase._main.equations._eqn_1 0.000138 s: list.erase.equations._eqn_1 0.000510 s: category_theory.limits.walking_pair.swap_apply_right 0.000492 s: monotone.mul' 0.000224 s: monotone.const_mul' 0.013978 s: max_mul_mul_left 0.000400 s: parser.static.fix 0.000071 s: int.has_zero.equations._eqn_1 0.001027 s: slim_check.testable.run_suite_aux._main.equations._eqn_1 0.000194 s: slim_check.testable.run_suite_aux.equations._eqn_1 0.014819 s: nat.canonically_ordered_comm_semiring.equations._eqn_1 0.003142 s: fderiv_within_const_apply 0.041667 s: bernstein_polynomial.flip 0.019901 s: polynomial.comp_X 0.013788 s: bernstein_polynomial.flip' 0.135439 s: bernstein_polynomial.iterate_derivative_at_1_eq_zero_of_lt 0.000361 s: add_monoid_hom.has_coe_to_zero_hom.equations._eqn_1 0.000252 s: poly.has_mul.equations._eqn_1 0.022331 s: linear_map.applyₗ._proof_7 0.004324 s: category_theory.braiding_right_unitor_aux₁ 0.003117 s: category_theory.limits.limit.hom_iso.equations._eqn_1 0.003675 s: mv_power_series.constant_coeff_X 0.000092 s: znum.bit0._sunfold 0.002343 s: ring_equiv.symm.equations._eqn_1 0.005986 s: category_theory.structured_arrow.map_map_right 0.004072 s: category_theory.iso.CommGroup_iso_to_mul_equiv.equations._eqn_1 0.000517 s: multiset.count.is_add_monoid_hom.equations._eqn_1 0.000342 s: equiv.add_monoid._proof_2 0.003100 s: witt_vector.lift_equiv_apply 0.002826 s: alg_hom.no_confusion 0.002996 s: alg_hom.mk.inj 0.000109 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_3 0.000164 s: ordnode.take 0.000097 s: ordnode.take.equations._eqn_1 0.003394 s: lie_subalgebra.mk_coe 0.000472 s: set.univ_eq_empty_iff 0.009993 s: measurable_space.measurable_set_bot_iff 0.002232 s: category_theory.limits.inhabited_cone._match_1.equations._eqn_1 0.002200 s: filter.eventually.curry 0.000572 s: filter.eventually.curry_nhds 0.010664 s: witt_vector.from_padic_int 0.039246 s: padic_int.lift_unique 0.038479 s: padic_int.lift_self 0.020958 s: 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category_theory.functor.to_cone_X 0.000033 s: omega.int.preform.unsat 0.000469 s: omega.int.neg_elim._main.equations._eqn_1 0.000061 s: omega.int.neg_elim.equations._eqn_1 0.000142 s: omega.int.neg_free._main.equations._eqn_2 0.000041 s: omega.int.neg_free.equations._eqn_2 0.000589 s: omega.int.neg_elim._main.equations._eqn_9 0.000095 s: omega.int.neg_elim.equations._eqn_9 0.000106 s: omega.int.neg_free.equations._eqn_5 0.003653 s: omega.int.neg_free_neg_elim 0.003576 s: omega.int.is_nnf_push_neg 0.002279 s: omega.int.is_nnf_nnf 0.000123 s: omega.int.preform.sat_of_implies_of_sat 0.000402 s: omega.int.push_neg._main.equations._eqn_4 0.000085 s: omega.int.push_neg.equations._eqn_4 0.000082 s: omega.int.preform.holds.equations._eqn_5 0.001548 s: omega.int.push_neg_equiv 0.000058 s: omega.int.nnf.equations._eqn_4 0.000043 s: omega.int.nnf.equations._eqn_5 0.003213 s: omega.int.nnf_equiv 0.000253 s: omega.int.unsat_of_clauses_unsat 0.001686 s: 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0.000255 s: monad_run.no_confusion 0.000231 s: monad_run.mk.inj 0.084330 s: semi_normed_ring_top_monoid.equations._eqn_1 0.013436 s: opposite.comm_group._proof_5 0.008038 s: category_theory.op_op.equations._eqn_1 0.005994 s: measure_theory.outer_measure.is_mul_left_invariant_of_content 0.003908 s: measure_theory.measure.is_mul_left_invariant_haar_measure 0.001243 s: set.Icc_union_Ico_eq_Ico 0.000169 s: zsqrtd.nonnegg._sunfold 0.000316 s: pos_num.cmp._main.equations._eqn_5 0.000039 s: pos_num.cmp.equations._eqn_5 0.000283 s: pos_num.cmp._main.equations._eqn_6 0.000059 s: pos_num.cmp.equations._eqn_6 0.002009 s: pos_num.cmp_swap 0.001461 s: is_compact.measure_zero_of_nhds_within 0.003957 s: dfinsupp.support_map_range 0.004845 s: dfinsupp.support_smul 0.002499 s: direct_sum.support_smul 0.001167 s: set.Ioc.semilattice_sup._proof_1 0.000861 s: set.Ioc.semilattice_sup 0.000745 s: set.Ioc.semilattice_sup_top._proof_2 0.002158 s: add_semiconj_by_iff_eq 0.000273 s: coe_trans.equations._eqn_1 0.000214 s: tactic.ring_exp.coeff.mk.inj 0.003831 s: parser.many_char_eq_done_empty 0.000404 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_20 0.000111 s: rack.pre_envel_group_rel'.inhabited 0.000284 s: except_t.monad_except 0.000701 s: has_seq_left.mk.sizeof_spec 0.003152 s: dense_inducing.mk' 0.001030 s: dense_embedding.mk' 0.001358 s: add_units.lift_right.equations._eqn_1 0.000964 s: category_theory.functor.map_cone_X 0.026518 s: asymptotics.is_O_with_self_const_mul 0.004568 s: asymptotics.is_O_with.const_mul_right 0.003935 s: colex.has_lt.lt.is_incomp_trans.equations._eqn_1 0.004698 s: language.le_add_congr 0.000195 s: sum.bind._main.equations._eqn_2 0.000236 s: sum.bind.equations._eqn_2 0.000473 s: add_equiv.bijective 0.000469 s: tactic.itauto.proof.or_imp_right.inj 0.016457 s: con.quotient_ker_equiv_range._proof_3 0.002422 s: con.quotient_ker_equiv_range._proof_4 0.013831 s: con.quotient_ker_equiv_range 0.004588 s: ordered_add_comm_group.add_lt_add_left 0.000674 s: ordered_add_comm_group.lt_of_add_lt_add_left 0.000126 s: function.commute.iterate_iterate 0.000099 s: function.commute.iterate_iterate_self 0.000475 s: int.lcm_dvd 0.002328 s: category_theory.functor.map_is_iso.equations._eqn_1 0.004092 s: filter.realizer.bind.equations._eqn_1 0.001495 s: category_theory.functor.map_cone.equations._eqn_1 0.000582 s: measurable_space.dynkin_system.no_confusion_type 0.000740 s: measurable_space.dynkin_system.no_confusion 0.002135 s: measurable_space.dynkin_system.mk.inj 0.001181 s: measurable_space.dynkin_system.mk.inj_arrow 0.000518 s: order.pfilter.is_prime.compl_ideal 0.000379 s: order.pfilter.is_prime.to_prime_pair._proof_1 0.026862 s: order.pfilter.is_prime.to_prime_pair 0.000160 s: bisequence 0.000435 s: bisequence.equations._eqn_1 0.000409 s: category_theory.preserves_limits_of_creates_limits_and_has_limits 0.000570 s: category_theory.preserves_limits_of_creates_limits_and_has_limits.equations._eqn_1 0.003639 s: add_subgroup.bot_or_exists_ne_zero 0.001372 s: roption.of_option_eq_get 0.001944 s: dvd_mul_gcd_of_dvd_mul 0.001171 s: int.of_nat_add_neg_succ_of_nat_of_lt 0.003043 s: monoid_hom.coe_dfinsupp_prod 0.001501 s: category_theory.coalgebra_equiv_over_inverse 0.114979 s: char.decidable_is_digit.equations._eqn_1 0.008497 s: monoid_hom.map_sub_swap 0.016745 s: valuation.map_sub_swap 0.001963 s: filter.germ.comm_semiring._proof_5 0.008312 s: finsupp.sum_sum_index' 0.000108 s: borel_space.rec_on 0.000927 s: quaternion_algebra.has_mul.equations._eqn_1 0.001934 s: quiver.wide_subquiver_equiv_set_total._proof_2 0.049717 s: category_theory.coev_exp_comparison 0.000302 s: quiver.arborescence.cases_on 0.000207 s: quiver.arborescence.no_confusion_type 0.000354 s: quiver.arborescence.no_confusion 0.000338 s: quiver.arborescence.mk.inj 0.000217 s: equiv.inhabited 0.000051 s: bounded_distrib_lattice.has_sizeof_inst 0.000285 s: turing.tape.nth_zero 0.000271 s: turing.TM2.stmts 0.000497 s: turing.TM2.stmts.equations._eqn_1 0.014080 s: turing.TM2.stmts₁_trans 0.003629 s: turing.TM2.stmts_trans 0.000153 s: group.to_monoid.equations._eqn_1 0.016699 s: subgroup.complete_lattice.equations._eqn_1 0.000091 s: has_mul.cases_on 0.000093 s: has_mul.no_confusion_type 0.000305 s: has_mul.no_confusion 0.000151 s: has_mul.mk.inj 0.003762 s: is_scalar_tower.to_smul_comm_class'.equations._eqn_1 0.000291 s: typevec.id.equations._eqn_1 0.001115 s: continuous_map.comp_apply 0.187583 s: fract_eq_iff 0.071026 s: fract_eq_fract 0.000083 s: forall_not_of_not_exists 0.000107 s: bounded_continuous_function.inhabited 0.011007 s: slim_check.nat.shrink'._main.equations._eqn_1 0.000553 s: category_theory.limits.image.equations._eqn_1 0.003911 s: ennreal.Inf_add 0.000591 s: onote.repr'._main.equations._eqn_1 0.000073 s: onote.repr'.equations._eqn_1 0.001491 s: pnat.div_coe 0.006332 s: category_theory.monad.mk.sizeof_spec 0.001470 s: matrix.map_map 0.001705 s: computable_pred.not 0.002609 s: partrec.bind_decode2_iff 0.022014 s: partrec.merge' 0.003936 s: partrec.merge 0.005973 s: computable_pred.computable_iff_re_compl_re 0.000899 s: option.get._main.equations._eqn_1 0.001540 s: add_group.sub._default.equations._eqn_1 0.000058 s: rel_hom.preimage._proof_1 0.000143 s: rel_hom.preimage 0.000177 s: lie_module.is_trivial.cases_on 0.000737 s: list.reverse_rec_on.equations._eqn_1 0.000023 s: expr.coord.pi_body.inj 0.000020 s: expr.coord.pi_body.inj_arrow 0.001094 s: finsupp.support_single_disjoint 0.029452 s: mv_polynomial.support_esymm'' 0.010687 s: mv_polynomial.support_esymm' 0.003245 s: mv_polynomial.support_esymm 0.000787 s: tactic_doc._2775507345 0.000204 s: equiv.refl.equations._eqn_1 0.001184 s: quotient.rec_on.equations._eqn_1 0.001473 s: prod.normed_space.equations._eqn_1 0.002939 s: category_theory.with_terminal.map._match_2 0.003935 s: category_theory.with_terminal.map._proof_1 0.011417 s: category_theory.with_terminal.map._proof_2 0.001173 s: category_theory.with_terminal.map 0.002485 s: category_theory.with_terminal.map.equations._eqn_1 0.069668 s: mv_polynomial.mem_ideal_of_coeff_mem_ideal 0.019550 s: division_ring_of_is_unit_or_eq_zero._proof_1 0.000798 s: free_monoid.lift_symm_apply 0.000138 s: is_smul_regular.equations._eqn_1 0.001347 s: filter.tendsto_comap'_iff 0.000802 s: add_torsor.cases_on 0.000435 s: add_torsor.no_confusion_type 0.001199 s: add_subgroup.of_normal 0.000600 s: add_subgroup.of_normal.equations._eqn_1 0.001727 s: list.nth_le_eq_of_ne_imp_not_nodup 0.002936 s: subfield.zero_mem 0.001254 s: times_cont_mdiff_within_at.times_cont_diff_within_at 0.027877 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor_obj_obj_to_Mon_ 0.025881 s: Top.continuous_functions.pullback.equations._eqn_1 0.007710 s: smooth_map_add_semigroup.equations._eqn_1 0.000048 s: int.has_le.equations._eqn_1 0.006319 s: category_theory.eq_inverse_map 0.000313 s: zsqrtd.decidable_nonneg._sunfold 0.022857 s: differentiable_within_at.div_const 0.000151 s: sum.traversable.equations._eqn_1 0.006770 s: padic_int.norm_eq_of_norm_add_lt_left 0.015598 s: algebraic_geometry.germ_to_top 0.002068 s: quaternion.coe_neg 0.000847 s: cau_seq.has_add.equations._eqn_1 0.000120 s: omega.nat.preform.repr.equations._eqn_5 0.003856 s: model_with_corners.mk.sizeof_spec 0.001870 s: uniform_space.core.to_topological_space._match_2.equations._eqn_1 0.000457 s: measure_theory.ae_restrict_of_ae_restrict_of_subset 0.162007 s: interval_integral.integral_nonneg_of_ae_restrict 0.171873 s: interval_integral.integral_nonneg 0.000440 s: expr.coord.code._main.equations._eqn_7 0.000047 s: expr.coord.code.equations._eqn_7 0.016709 s: topological_fiber_bundle_core.local_triv_ext.equations._eqn_1 0.000135 s: fun_info.inhabited 0.041243 s: category_theory.monad.adj_counit 0.000959 s: nat.cast._main.equations._eqn_2 0.000200 s: nat.cast.equations._eqn_2 0.000066 s: has_well_founded.has_sizeof_inst 0.000161 s: equiv.prod_equiv_of_equiv_nat 0.006576 s: linear_ordered_add_comm_monoid.decidable_lt._default 0.003286 s: linear_ordered_cancel_add_comm_monoid.decidable_lt._default 0.001790 s: linear_ordered_cancel_add_comm_monoid.decidable_lt._default.equations._eqn_1 0.000265 s: monad_state_adapter.rec_on 0.000123 s: ring_aut.inhabited 0.000193 s: ring_aut.inhabited.equations._eqn_1 0.002434 s: category_theory.braided_functor.id.equations._eqn_1 0.001075 s: conditionally_complete_linear_order.decidable_eq._default 0.000802 s: conditionally_complete_linear_order_bot.decidable_eq._default 0.002421 s: equiv_functor_unique.equations._eqn_1 0.000221 s: roption.get_eq_of_mem 0.001478 s: category_theory.limits.coequalizer.π_desc_assoc 0.001180 s: pi.add_left_cancel_monoid._proof_3 0.001036 s: Set.powerset.equations._eqn_1 0.000539 s: eq_mul_of_inv_mul_eq 0.001696 s: submonoid.gi_map_comap._match_1.equations._eqn_1 0.008649 s: pi.semilattice_inf_bot.equations._eqn_1 0.000206 s: zsqrtd.add._main.equations._eqn_1 0.007520 s: vector.mmap_cons 0.000149 s: monad_io_terminal.no_confusion_type 0.000378 s: monad_io_terminal.no_confusion 0.001091 s: continuous_map.has_mul.equations._eqn_1 0.000397 s: Scott.is_ωSup 0.000195 s: Scott.is_ωSup.equations._eqn_1 0.003973 s: category_theory.limits.cones.forget.equations._eqn_1 0.000796 s: sesq_form.ortho_zero 0.000133 s: znum.abs._main.equations._eqn_2 0.000170 s: tree.index_of._match_1.equations._eqn_2 0.000803 s: tactic_doc._4137663801 0.000102 s: list.has_subset.equations._eqn_1 0.000700 s: set.finite.is_closed_convex_hull 0.001367 s: lie_algebra.is_simple.cases_on 0.000118 s: stream.has_mem.equations._eqn_1 0.000200 s: setoid.is_partition.equations._eqn_1 0.062521 s: is_R_or_C.two_ne_zero 0.000182 s: io.put_str_ln.equations._eqn_1 0.000246 s: list.decidable_prefix._main._proof_3 0.001146 s: list.decidable_prefix._main.equations._eqn_3 0.000317 s: list.decidable_prefix.equations._eqn_3 0.017476 s: category_theory.monoidal_category.tensor_left_tensor._proof_1 0.001834 s: category_theory.monoidal_category.tensor_left_tensor 0.002303 s: category_theory.monoidal_category.tensor_left_tensor.equations._eqn_1 0.007305 s: category_theory.monoidal_category.tensor_left_tensor_inv_app 0.006097 s: category_theory.under.iso_mk_hom_right 0.000264 s: function.embedding.refl.equations._eqn_1 0.002595 s: dfinsupp.lift_add_hom_symm_apply 0.003383 s: dfinsupp.lift_add_hom_comp_single 0.006605 s: dfinsupp.comp_lift_add_hom 0.020845 s: add_monoid_hom.map_dfinsupp_sum_add_hom 0.010239 s: add_monoid_hom.coe_dfinsupp_sum_add_hom 0.003087 s: category_theory.iso_whisker_left_inv 0.000046 s: ADE_inequality.admissible_E6 0.000031 s: format.color.has_sizeof_inst 0.014465 s: multilinear_map.dom_dom_congr_linear_equiv.equations._eqn_1 0.046355 s: category_theory.curry.equations._eqn_1 0.000982 s: quaternion_algebra.coe_zero 0.000333 s: add_comm_semigroup.sizeof 0.000993 s: add_comm_semigroup.mk.sizeof_spec 0.038476 s: sesq_form.to_module._proof_4 0.000689 s: pnat.xgcd_type.start.equations._eqn_1 0.002239 s: category_theory.limits.colimit.post 0.008577 s: category_theory.limits.colimit.ι_post 0.044699 s: category_theory.limits.colimit.pre_post 0.009184 s: category_theory.monoidal.lax_to_transported_to_functor_obj 0.000205 s: is_per.drec_on 0.000246 s: uniform_space.separation_setoid.equations._eqn_1 0.003140 s: category_theory.limits.coequalizer.π_epi.equations._eqn_1 0.001369 s: finset.univ_perm_option 0.000121 s: string.iterator.has_next._sunfold 0.000293 s: finmap.has_mem.equations._eqn_1 0.002192 s: bitraversable.tfst_comp_tsnd 0.002890 s: emetric.diam_pair 0.001333 s: metric.diam_pair 0.003580 s: monoid_hom.snd_comp_inr 0.000647 s: ultrafilter.mk.inj 0.000432 s: ultrafilter.mk.inj_arrow 0.003913 s: nat.add_pos_right 0.009026 s: nat.add_pos_iff_pos_or_pos 0.000729 s: is_alg_closed.dcases_on 0.005829 s: zsqrtd.norm.is_monoid_hom.equations._eqn_1 0.000824 s: continuous_linear_map.prodₗᵢ._proof_3 0.001776 s: prod.add_zero_class.equations._eqn_1 0.084999 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_inverse_obj_π_app 0.000031 s: pos_num.of_nat_succ 0.000056 s: pos_num.of_nat_succ.equations._eqn_1 0.015750 s: linear_map.prod.equations._eqn_1 0.128784 s: perfect_closure.field._proof_20 0.000178 s: list.pairwise.iff 0.000574 s: hash_map.sizeof 0.019526 s: hyperreal.infinite_pos_mul_of_not_infinitesimal_neg_infinite_neg 0.004610 s: char.of_nat_to_nat 0.000414 s: star_monoid.cases_on 0.000232 s: star_monoid.no_confusion_type 0.004262 s: mem_own_left_add_coset 0.000631 s: category_theory.limits.coprod.epi_desc_of_epi_right 0.052744 s: is_basis.constrL.equations._eqn_1 0.006746 s: finprod_mem_singleton 0.003575 s: finprod_mem_insert' 0.000523 s: category_theory.op_op_obj 0.015361 s: category_theory.adjunction.mk.inj 0.024741 s: category_theory.adjunction.mk.inj_eq 0.023078 s: ordered_comm_semiring.mk.sizeof_spec 0.000787 s: algebraic_geometry.LocallyRingedSpace.rec_on 0.000192 s: num.div._main.equations._eqn_2 0.007190 s: category_theory.sigma.sigma_hom.comp._main.equations._eqn_1 0.000813 s: category_theory.sigma.sigma_hom.comp.equations._eqn_1 0.003327 s: is_coprime.add_mul_right_left_iff 0.005433 s: ring_hom.cod_restrict._proof_3 0.035097 s: rat.algebra_rat_subsingleton 0.002152 s: no_zero_smul_divisors.of_no_zero_divisors.equations._eqn_1 0.000461 s: measure_theory.simple_func.const.equations._eqn_1 0.000295 s: measure_theory.simple_func.has_mul.equations._eqn_1 0.008616 s: pgame.impartial.impartial_neg._main._pack.equations._eqn_1 0.001497 s: pgame.impartial.impartial_neg._main.equations._eqn_1 0.001425 s: pgame.impartial.impartial_neg.equations._eqn_1 0.014280 s: enorm.semilattice_sup_top.equations._eqn_1 0.000050 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.none.inj_eq 0.000360 s: bounded_random.rec_on 0.001659 s: alt_sesq_form.is_alt.equations._eqn_1 0.007774 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit_desc_f 0.000283 s: ideal.is_maximal.is_prime'.equations._eqn_1 0.000365 s: computation.tail_ret 0.000234 s: pgame.has_one.equations._eqn_1 0.000153 s: rbmap.find 0.000367 s: rbmap.find.equations._eqn_1 0.000144 s: free_add_monoid.of_def 0.000767 s: parser.prog.decorate_errors.equations._eqn_1 0.009274 s: left_ord_continuous.map_Sup' 0.002374 s: left_ord_continuous.map_Sup 0.009100 s: Module.forget_preserves_limits 0.006259 s: Module.forget_preserves_limits.equations._eqn_1 0.000177 s: is_seq_closed.equations._eqn_1 0.001448 s: fin.coe_succ_embedding 0.003373 s: fin.prod_filter_zero_lt 0.015529 s: finsupp.map_range.linear_equiv.equations._eqn_1 0.002111 s: intermediate_field.coe_to_subfield 0.000722 s: isometric.injective 0.002199 s: turing.TM1to1.read_aux._main.equations._eqn_2 0.000790 s: turing.TM1to1.read_aux.equations._eqn_2 0.000877 s: matrix.semimodule.equations._eqn_1 0.000181 s: is_strict_order.dcases_on 0.007501 s: measure_theory.ae_eq_fun.edist_add_right 0.001212 s: free_monoid.map_of 0.004386 s: ulift.add_left_cancel_semigroup._proof_2 0.000748 s: ulift.add_left_cancel_semigroup 0.001846 s: ulift.add_left_cancel_semigroup.equations._eqn_1 0.006138 s: add_submonoid.prod_equiv._proof_3 0.000086 s: io.fs.write.equations._eqn_1 0.007423 s: continuous_linear_map.coe_inr 0.000453 s: finset.has_union.union.is_idempotent.equations._eqn_1 0.001920 s: add_monoid_hom.map_matrix_apply 0.001298 s: category_theory.sum._match_2.equations._eqn_2 0.012280 s: category_theory.transfer_nat_trans_self.equations._eqn_1 0.014180 s: ulift.semimodule'.equations._eqn_1 0.009060 s: category_theory.limits.prod.associator.equations._eqn_1 0.005061 s: continuous_map_comm_monoid.equations._eqn_1 0.000446 s: closure_operator.id_apply 0.001431 s: finset.pi_subset 0.001282 s: seq.map._sunfold 0.001357 s: filter.rcomap'._match_3.equations._eqn_1 0.000518 s: state_t.uliftable'.equations._eqn_1 0.000253 s: hyperreal.infinite_pos_def 0.002161 s: nonarchimedean_add_group.prod.nonarchimedean_add_group._match_1.equations._eqn_1 0.060174 s: category_theory.is_filtered.cocone_nonempty 0.000212 s: category_theory.is_filtered.cocone 0.001445 s: prod.distrib_lattice._proof_3 0.000294 s: qpf.is_uniform 0.001957 s: qpf.supp_eq_of_is_uniform 0.001903 s: category_theory.subterminal_inclusion_obj 0.000152 s: _private.2964879073.to_list_aux._sunfold 0.116283 s: ideal.add_eq_sup 0.033691 s: circle_deg1_lift.forall_map_sub_of_Icc 0.000445 s: comm_ring.nsmul._default.equations._eqn_1 0.000670 s: category_theory.cofinal.drec 0.000069 s: tactic.unfold_config.rec_on 0.000382 s: mul_action_hom.sizeof 0.000421 s: znum.mod._main.equations._eqn_3 0.000073 s: znum.mod.equations._eqn_3 0.000850 s: option.lift_or_get_some_some 0.002592 s: units.mul_left_apply 0.004256 s: intermediate_field.adjoin_simple.gen.equations._eqn_1 0.000214 s: complex.eta 0.086338 s: has_deriv_within_at.cos 0.198848 s: deriv_within_cos 0.000061 s: list.is_prefix_of 0.000085 s: string.is_prefix_of 0.000030 s: string.starts_with 0.000846 s: quiver.path.length_nil 0.018491 s: function.injective.mul_zero_one_class._proof_2 0.002108 s: function.injective.mul_zero_one_class._proof_3 0.001060 s: function.injective.mul_zero_one_class._proof_4 0.002948 s: function.injective.mul_zero_one_class 0.003021 s: function.injective.mul_zero_one_class.equations._eqn_1 0.002334 s: polynomial.continuous_within_at_aeval 0.001238 s: free_monoid.rec_on.equations._eqn_1 0.000685 s: _private.2837175377.prim.equations._eqn_1 0.001358 s: finsupp.subtype_domain.is_add_monoid_hom.equations._eqn_1 0.006084 s: rat.mul_denom_dvd 0.002681 s: ennreal.zero_rpow_def 0.000937 s: int.modeq.mod_coprime 0.000128 s: is_group_hom.id 0.002093 s: nonarchimedean_group.prod.nonarchimedean_group 0.000200 s: topological_add_group.cases_on 0.000960 s: homeomorph.mk.inj_arrow 0.428335 s: induced_order_topology' 0.002112 s: induced_order_topology 0.000048 s: io.proc.child.equations._eqn_1 0.000222 s: matrix.vec_mul_vec._sunfold 0.000343 s: turing.blank_rel.above._proof_1 0.000692 s: turing.blank_rel.above._proof_2 0.000180 s: turing.blank_rel.above 0.000413 s: turing.blank_rel.above.equations._eqn_1 0.000058 s: fin.mod 0.000047 s: fin.has_mod 0.000061 s: fin.has_mod.equations._eqn_1 0.000366 s: turing.TM1to1.Λ'.normal.sizeof_spec 0.000308 s: writer_t.pass._sunfold 0.000157 s: bitvec.to_int._sunfold 0.000037 s: tactic.interactive.case_tag.match_result.no_confusion_type 0.000802 s: rbmap.find_entry._match_1.equations._eqn_2 0.000769 s: measure_theory.measure_union_null_iff 0.000163 s: omega.nat.preterm.sub_free._main.equations._eqn_1 0.000065 s: omega.nat.preterm.sub_free.equations._eqn_1 0.000508 s: continuous_map.equiv_fn_of_discrete 0.000724 s: continuous_map.equiv_fn_of_discrete_symm_apply_to_fun 0.000024 s: expr.coord.lam_body.inj 0.000021 s: expr.coord.lam_body.inj_arrow 0.000075 s: has_bot.sizeof 0.000140 s: has_bot.mk.sizeof_spec 0.006005 s: order.partial_iso.inhabited.equations._eqn_1 0.000491 s: subgroup.sizeof 0.000281 s: function.support_inf 0.000036 s: tactic.explode.status.intro.inj_arrow 0.000661 s: category_theory.comonadic_left_adjoint.to_is_left_adjoint 0.001091 s: category_theory.comonadic_left_adjoint.eqv 0.001420 s: equiv.perm.mul_symm 0.013260 s: topological_space.opens.map_id.equations._eqn_1 0.003099 s: pi.monoid_with_zero._proof_1 0.001145 s: pi.monoid_with_zero._proof_2 0.005510 s: pi.monoid_with_zero._proof_4 0.005150 s: pi.monoid_with_zero._proof_5 0.001578 s: pi.monoid_with_zero._proof_6 0.001162 s: pi.monoid_with_zero._proof_7 0.001155 s: pi.monoid_with_zero 0.040265 s: filter.germ.semimodule'._proof_2 0.019918 s: filter.germ.semimodule' 0.002122 s: galois_insertion.mk.inj 0.001866 s: galois_insertion.mk.inj_eq 0.000303 s: pos_num.lor._main.equations._eqn_3 0.000078 s: pos_num.lor.equations._eqn_3 0.000508 s: cardinal.has_le._match_4.equations._eqn_1 0.001141 s: tactic.ring2.horner_expr.mul_aux._main.equations._eqn_2 0.003936 s: mem_nhds_within_Ici_iff_exists_Icc_subset' 0.021812 s: mem_nhds_within_Iic_iff_exists_Icc_subset' 0.006472 s: fin_enum.prod._proof_1 0.001206 s: measure_theory.measure_preserving.quasi_measure_preserving 0.001249 s: measure_theory.sum_measure_le_measure_univ 0.013517 s: measure_theory.exists_nonempty_inter_of_measure_univ_lt_sum_measure 0.018699 s: measure_theory.measure_preserving.exists_mem_image_mem_of_volume_lt_mul_volume 0.006689 s: measure_theory.measure_preserving.exists_mem_image_mem 0.001030 s: measure_theory.measure_preserving.conservative 0.099117 s: category_theory.SheafOfTypes_bot_equiv._proof_6 0.000412 s: has_measurable_add.drec_on 0.013166 s: category_theory.limits.ι_comp_sigma_comparison 0.002940 s: turing.frespects_eq 0.002079 s: local_equiv.refl_restr_source 0.033672 s: local_equiv.trans_refl_restr 0.011931 s: ordnode.of_asc_list_aux₁._match_2._proof_1 0.003261 s: ordnode.of_asc_list_aux₁._match_2.equations._eqn_1 0.008509 s: borel_eq_top_of_encodable 0.001556 s: rat.borel_space 0.057157 s: filter.tendsto.at_top_mul_const' 0.015783 s: prime_multiset.coe_nat_hom 0.000508 s: holor.cprank_max1.cases_on 0.001150 s: multiplicative.is_mul_hom 0.002279 s: multiplicative.is_monoid_hom 0.000900 s: dfinsupp.has_neg.equations._eqn_1 0.007267 s: with_zero.semiring._proof_15 0.000438 s: continuous_within_at.nnnorm 0.000286 s: continuous_on.nnnorm 0.000195 s: order.sequence_of_cofinals._match_1.equations._eqn_1 0.000158 s: is_complemented.cases_on 0.000444 s: compact.realizer 0.000177 s: list.filter_true 0.000315 s: has_le.le.le_or_lt 0.000594 s: add_monoid_hom.mk_normed_group_hom_norm_le 0.001935 s: linear_equiv_iso_Module_iso_hom 0.001011 s: category_theory.iso.conj_Aut_mul 0.002831 s: alg_equiv.coe_ring_equiv_injective 0.000480 s: rel_embedding.ext_iff 0.001241 s: filter.rcomap'._match_1.equations._eqn_1 0.002827 s: nat.dvd_right_iff_eq 0.002200 s: submodule.range_subtypeL 0.003719 s: AddCommGroup.colimits.desc_fun_lift._main.equations._eqn_4 0.000453 s: AddCommGroup.colimits.desc_fun_lift.equations._eqn_4 0.000490 s: rack.op_act_op_eq 0.001083 s: rack.self_act_eq_iff_eq 0.000852 s: rack.self_inv_act_eq_iff_eq 0.000394 s: filter_basis.nonempty_sets.equations._eqn_1 0.003147 s: module.directed_system.cases_on 0.004184 s: submodule.span.ring_hom._proof_2 0.000160 s: lucas_lehmer.X.comm_ring._proof_1 0.000107 s: lucas_lehmer.X.comm_ring._proof_3 0.000408 s: lucas_lehmer.X.comm_ring._proof_4 0.000206 s: lucas_lehmer.X.comm_ring._proof_5 0.000639 s: lucas_lehmer.X.comm_ring._proof_6 0.000476 s: lucas_lehmer.X.comm_ring._proof_7 0.000101 s: lucas_lehmer.X.comm_ring._proof_8 0.000085 s: lucas_lehmer.X.comm_ring._proof_9 0.000118 s: lucas_lehmer.X.comm_ring._proof_10 0.000083 s: lucas_lehmer.X.comm_ring._proof_11 0.000210 s: lucas_lehmer.X.comm_ring._proof_12 0.000134 s: lucas_lehmer.X.comm_ring._proof_14 0.020924 s: lucas_lehmer.X.comm_ring._proof_16 0.006208 s: lucas_lehmer.X.comm_ring 0.002215 s: lucas_lehmer.X.comm_ring.equations._eqn_1 0.000611 s: is_regular_of_ne_zero 0.005623 s: linear_map.restrict_eq_cod_restrict_dom_restrict 0.005422 s: linear_map.ker_restrict 0.004546 s: continuous_subgroup 0.000299 s: continuous_group 0.000367 s: continuous_group.equations._eqn_1 0.000286 s: triv_sq_zero_ext.snd_zero 0.001025 s: omega.nat.preform.fresh_index._main.equations._eqn_4 0.007659 s: category_theory.functor.map_cocone_precompose_equivalence_functor 0.149316 s: prime_spectrum.prime_spectrum_prod_symm_inl_as_ideal 0.015697 s: with_bot.densely_ordered._match_1.equations._eqn_4 0.001987 s: category_theory.grothendieck.forget 0.000206 s: omega.ee.factor.inj 0.000187 s: omega.ee.factor.inj_eq 0.055792 s: add_subgroup.range_gmultiples_hom 0.007413 s: semi_normed_ring.sizeof 0.000051 s: semi_normed_ring.has_sizeof_inst 0.000292 s: semi_normed_comm_ring.sizeof 0.001263 s: semi_normed_comm_ring.mk.sizeof_spec 0.001279 s: rbnode.min._main.equations._eqn_3 0.000112 s: rbnode.min.equations._eqn_3 0.037504 s: ennreal.coe_finset_prod 0.006742 s: setoid.comap_eq 0.000916 s: setoid.comap_quotient_equiv._proof_1 0.001178 s: setoid.comap_quotient_equiv 0.000320 s: category_theory.subobject.map_iso_to_order_iso._proof_2 0.000458 s: measurable.nnreal_of_real 0.002678 s: mvpfunctor.W_path.child.inj 0.001033 s: mvpfunctor.W_path.child.inj_arrow 0.000892 s: multiset.filter.equations._eqn_1 0.006430 s: ennreal.infi_ennreal 0.008993 s: ennreal.supr_ennreal 0.017080 s: lagrange.interpolate_add 0.000763 s: rbnode.balance1._main.equations._eqn_4 0.000287 s: rbnode.balance1.equations._eqn_4 0.035964 s: complex.sinh_two_mul 0.049341 s: complex.sinh_three_mul 0.095997 s: real.sinh_three_mul 0.000409 s: finset.pi_const_singleton 0.022501 s: hahn_series.summable_family.coe_sub 0.002114 s: asymptotics.is_O.prod_left 0.003132 s: category_theory.subobject.map_iso_to_order_iso._proof_3 0.000441 s: category_theory.functor.monotone 0.013232 s: category_theory.subobject.map_iso_to_order_iso._proof_5 0.003886 s: category_theory.subobject.map_iso_to_order_iso 0.003691 s: category_theory.subobject.map_iso_to_order_iso_symm_apply 0.008808 s: category_theory.limits.types.binary_product_iso_prod.equations._eqn_1 0.000984 s: ordnode.split_min'._main.equations._eqn_2 0.000336 s: ordnode.split_min'.equations._eqn_2 0.000378 s: ordnode.find_min'._main.equations._eqn_2 0.000197 s: ordnode.find_min'.equations._eqn_2 0.002419 s: ordnode.split_min_eq 0.002260 s: quaternion.neg_im_k 0.000406 s: monoid_hom.comp_hom._proof_1 0.001316 s: monoid_hom.one_comp 0.006765 s: monoid_hom.comp_hom._proof_2 0.007112 s: monoid_hom.comp_hom._proof_3 0.004265 s: monoid_hom.comp_hom 0.034791 s: function.injective.linear_ordered_comm_group._proof_1 0.039139 s: function.injective.linear_ordered_comm_group._proof_7 0.000260 s: function.injective.linear_ordered_comm_group._proof_9 0.000410 s: function.injective.linear_ordered_comm_group._proof_12 0.000345 s: function.injective.linear_ordered_comm_group._proof_13 0.037519 s: function.injective.linear_ordered_comm_group 0.000759 s: subgroup.to_linear_ordered_comm_group._proof_3 0.000401 s: subgroup.to_linear_ordered_comm_group._proof_4 0.012806 s: subgroup.to_linear_ordered_comm_group 0.006774 s: language.star_mul_le_left_of_mul_le_left 0.000163 s: seq.has_mem.equations._eqn_1 0.009062 s: category_theory.comonad_hom.mk.inj_arrow 0.000103 s: algebraic_geometry.SheafedSpace.restrict._proof_5 0.002706 s: local_homeomorph.has_deriv_at_symm 0.004181 s: category_theory.limits.fork.is_limit.hom_iso_natural 0.000807 s: category_theory.limits.evaluation_preserves_limits 0.000901 s: category_theory.limits.evaluation_preserves_limits.equations._eqn_1 0.000441 s: is_atomic.drec_on 0.026226 s: not_mem_of_ortho 0.001182 s: equiv.Pi_congr_left'_apply 0.000392 s: except.to_option._main.equations._eqn_2 0.006004 s: category_theory.mono_over.forget_image 0.004170 s: category_theory.functor.prod_map 0.023026 s: category_theory.nat_trans.prod._proof_1 0.003994 s: homological_complex.kernel_functor._proof_1 0.016478 s: homological_complex.kernel_functor._proof_2 0.026477 s: homological_complex.kernel_functor._proof_3 0.007524 s: homological_complex.kernel_functor 0.004390 s: homological_complex.kernel_functor.equations._eqn_1 0.000149 s: list.append_inj_right' 0.000144 s: nat.decidable_eq._main.equations._eqn_1 0.004097 s: add_monoid_hom.to_multiplicative.equations._eqn_1 0.000763 s: has_deriv_within_at_pow 0.000674 s: normed_group.of_core.equations._eqn_1 0.000461 s: pos_num.decidable_prime._main.equations._eqn_3 0.000085 s: pos_num.decidable_prime.equations._eqn_3 0.003072 s: emetric.is_closed_subsets_of_is_closed 0.002010 s: semiquot.is_lawful_monad._match_1.equations._eqn_1 0.004990 s: alg_hom.mk.inj_eq 0.002783 s: category_theory.limits.types.binary_coproduct_colimit 0.000129 s: category_theory.limits.types.binary_coproduct_colimit_cocone 0.001023 s: add_magma.free_add_semigroup.r.drec 0.002638 s: euclidean_domain.mul_right_not_lt 0.001355 s: filter.germ.map_const 0.001451 s: option.decidable_forall_mem._main._proof_1 0.000398 s: option.decidable_forall_mem._main.equations._eqn_1 0.000227 s: order.pfilter.mk.inj_arrow 0.000220 s: complex.rat_cast_im 0.001572 s: holor.mul_left_distrib 0.020043 s: holor.cprank_max_add 0.012290 s: holor.cprank_max_mul 0.000316 s: setoid.partition.le.equations._eqn_1 0.002742 s: cancel_monoid_with_zero.no_confusion 0.000541 s: multiset.coe_subsingleton_equiv 0.000677 s: wseq.remove_nth._match_1.equations._eqn_3 0.001857 s: ordinal.is_normal.sup 0.001272 s: ordinal.is_normal.bsup 0.000678 s: ordinal.is_normal.bsup_eq 0.009364 s: category_theory.differential_object.has_zero_object._proof_4 0.000244 s: list.zip_with.is_symm_op 0.000370 s: list.zip_with.is_symm_op.equations._eqn_1 0.002291 s: category_theory.sum.swap.equivalence._proof_1 0.024299 s: category_theory.sum.swap.equivalence._proof_2 0.005557 s: category_theory.sum.swap.equivalence 0.000054 s: category_theory.Rel.equations._eqn_1 0.004226 s: category_theory.graded_object.has_zero_object._proof_1 0.001470 s: category_theory.graded_object.has_zero_object._proof_2 0.001170 s: category_theory.graded_object.has_zero_object 0.002230 s: order_dual.order_topology.equations._eqn_1 0.000139 s: turing.TM1.cfg.var 0.001123 s: finset.update_piecewise_of_mem 0.002106 s: filter.realizer.of_equiv._match_1.equations._eqn_1 0.000914 s: set.Icc_subset_Ici_iff 0.000263 s: list.mem_bind_of_mem 0.001824 s: ulift.group._proof_1 0.001238 s: ulift.group._proof_2 0.000905 s: ulift.group._proof_3 0.004606 s: ulift.group 0.000398 s: category_theory.bundled.map.equations._eqn_1 0.002092 s: category_theory.abelian.mk.sizeof_spec 0.001781 s: category_theory.with_initial.incl.category_theory.full._proof_1 0.000993 s: category_theory.with_initial.incl.category_theory.full 0.001360 s: local_homeomorph.of_set_target 0.183615 s: filter.lift_top 0.003201 s: valuation.mem_supp_iff 0.005015 s: valuation.comap_supp 0.009617 s: valuation.self_le_supp_comap 0.000878 s: add_valuation.self_le_supp_comap 0.017585 s: valuation.comap_on_quot_eq 0.001300 s: add_valuation.comap_on_quot_eq 0.000211 s: con.correspondence._proof_1 0.004740 s: con.correspondence._proof_2 0.000180 s: con.correspondence._proof_4 0.009274 s: con.correspondence._proof_7 0.026709 s: con.correspondence._proof_8 0.010368 s: con.correspondence 0.000064 s: list.infix_refl 0.000105 s: list.eq_nil_iff_infix_nil 0.001594 s: list.nth_le._sunfold 0.000264 s: zero_hom.rec_on 0.182144 s: unique_diff_on_Ioo 0.016795 s: category_theory.limits.equalizer_subobject_iso.equations._eqn_1 0.001845 s: con.inf_iff_and 0.010918 s: semimodule.comp_hom.equations._eqn_1 0.000268 s: 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category_theory.limits.kernel_not_iso_of_nonzero 0.001391 s: category_theory.is_iso_of_epi_of_nonzero 0.001671 s: category_theory.cokernel_zero_of_nonzero_to_simple 0.004495 s: interval_integral.integral_non_ae_measurable 0.001901 s: semilattice_inf_bot.cases_on 0.001074 s: semilattice_inf_bot.no_confusion_type 0.001259 s: semilattice_inf_bot.no_confusion 0.000042 s: turing.partrec_to_TM2.nat_end.equations._eqn_3 0.031168 s: continuous_on.surj_on_of_tendsto' 0.015019 s: category_theory.action_category.stabilizer_iso_End_apply 0.002069 s: pi.order_bot.equations._eqn_1 0.000426 s: int.sign._main.equations._eqn_2 0.000314 s: quiver.hom.to_path.equations._eqn_1 0.004125 s: continuous_linear_map.nonlinear_right_inverse.mk.inj_eq 0.002623 s: category_theory.limits.im.equations._eqn_1 0.000843 s: category_theory.is_iso.inv_eq_of_inv_hom_id 0.000459 s: category_theory.is_iso.eq_inv_of_inv_hom_id 0.001588 s: category_theory.limits.complete_lattice.colimit_iso_supr.equations._eqn_1 0.000068 s: power_series.inv.aux 0.000126 s: power_series.inv.aux.equations._eqn_1 0.002159 s: fin_rotate.equations._eqn_2 0.001691 s: set.Union_eq_empty 0.000963 s: set.nonempty_Union 0.003027 s: category_theory.subobject.factors_of_factors_right 0.015942 s: has_deriv_within_at_inter 0.000108 s: pgame.short.of_pempty 0.000163 s: pgame.short.of_pempty.equations._eqn_1 0.000038 s: int.add_semigroup.equations._eqn_1 0.006212 s: category_theory.limits.cones.postcompose_comp_hom_app_hom 0.000450 s: topological_space.nonempty_compacts.to_GH_space._proof_1 0.000183 s: topological_space.nonempty_compacts.to_GH_space._proof_2 0.001512 s: topological_space.nonempty_compacts.to_GH_space 0.005083 s: lipschitz_with.mk_one 0.018243 s: Gromov_Hausdorff.GH_dist_le_nonempty_compacts_dist 0.000775 s: Gromov_Hausdorff.to_GH_space_lipschitz 0.000651 s: Gromov_Hausdorff.to_GH_space_continuous 0.000060 s: filter_basis.has_sizeof_inst 0.000585 s: function.semiconj.maps_to_pts_of_period 0.000090 s: pprod.inhabited 0.001333 s: category_theory.functor.punit_ext.equations._eqn_1 0.005154 s: measure_theory.integral_integral_symm 0.000918 s: equiv.perm.swap_factors_aux._main._proof_3 0.002673 s: equiv.perm.swap_factors_aux._main._proof_4 0.005853 s: equiv.perm.swap_factors_aux._main.equations._eqn_2 0.000381 s: slim_check.add_to_counter_example._main.equations._eqn_2 0.003786 s: nat.arithmetic_function.semiring.equations._eqn_1 0.003764 s: Gromov_Hausdorff.compact_space_optimal_GH_coupling.equations._eqn_1 0.000061 s: string.fold 0.000107 s: string.fold.equations._eqn_1 0.014397 s: bounded_continuous_function.ring.equations._eqn_1 0.000180 s: random_fin_of_pos._main.equations._eqn_2 0.000548 s: con.has_mul.equations._eqn_1 0.025399 s: associates_int_equiv_nat._proof_1 0.027871 s: associates_int_equiv_nat._proof_2 0.028787 s: associates_int_equiv_nat 0.005824 s: pfunctor.approx.agree.cases_on 0.000328 s: unit.borel_space 0.000085 s: tactic.ring2.horner_expr.ibelow 0.000349 s: commute.units_inv_right 0.093057 s: has_fderiv_within_at.const_cpow 0.091525 s: linear_ordered_ring.to_linear_ordered_semiring.equations._eqn_1 0.013791 s: lie_hom.rec_on 0.000125 s: gmultiples 0.002104 s: gpowers_subset 0.000428 s: gmultiples_subset 0.022545 s: inv_mul_lt_of_lt_mul 0.000300 s: left_ord_continuous.to_order_embedding._proof_1 0.000572 s: left_ord_continuous.to_order_embedding 0.002021 s: left_ord_continuous.to_order_embedding.equations._eqn_1 0.000536 s: set.finite_to_finset_eq_empty_iff 0.000285 s: slim_check.total_function.total.sizeof._sunfold 0.000432 s: binder_info.brackets._main.equations._eqn_5 0.000068 s: binder_info.brackets.equations._eqn_5 0.000177 s: slim_check.add_shrinks._main.equations._eqn_3 0.003339 s: category_theory.limits.cokernel_comp_is_iso._proof_2 0.008984 s: category_theory.limits.cokernel_comp_is_iso._proof_4 0.005123 s: category_theory.limits.cokernel_comp_is_iso 0.001818 s: category_theory.limits.cokernel_comp_is_iso_inv 0.000328 s: rack.act_apply 0.000235 s: category_theory.pretopology.gi._proof_3 0.003031 s: category_theory.pretopology.gi 0.001652 s: hahn_series.summable_family.coe_of_finsupp 0.000066 s: ordering.sizeof 0.000051 s: ordering.lt.sizeof_spec 0.001087 s: nat.decreasing_induction_self 0.000961 s: nat.decreasing_induction_succ 0.004613 s: nat.decreasing_induction_trans 0.001429 s: subgroup.coe_supr_of_directed 0.001965 s: category_theory.prod.sectl.equations._eqn_1 0.000527 s: add_monoid_hom.map_exists_left_neg 0.242948 s: convex.strict_antimono_of_deriv_neg 0.266900 s: strict_antimono_of_deriv_neg 0.000927 s: matrix.sub_left.equations._eqn_1 0.000041 s: cc_config.ho_fns._default.equations._eqn_1 0.021431 s: deriv_smul_const 0.000026 s: tactic.suggest.head_symbol_match.ex.inj 0.002434 s: finset.sum_centroid_weights_indicator_eq_one_of_nonempty 0.001205 s: asymptotics.is_equivalent.congr_left 0.000140 s: has_inner.rec_on 0.000419 s: alist.has_emptyc.equations._eqn_1 0.000208 s: category_theory.limits.is_iso_zero_self_equiv._proof_1 0.015425 s: smooth_manifold_with_corners.prod.equations._eqn_1 0.000469 s: ordnode.diff._main.equations._eqn_1 0.001399 s: mul_equiv.to_Mon_iso_hom 0.000112 s: ADE_inequality.admissible_E'4 0.000018 s: ADE_inequality.admissible_E7 0.000157 s: guardb.equations._eqn_1 0.012449 s: add_equiv.to_multiplicative''.equations._eqn_1 0.001129 s: real_inner_smul_self_left 0.001859 s: nat.gcd_dvd_gcd_mul_right 0.000241 s: buffer.is_lawful_traversable.equations._eqn_1 0.000487 s: discrete_valuation_ring.rec_on 0.001046 s: set.add_mem_Icc_iff_right 0.007818 s: norm_lt_of_mem_ball 0.000372 s: norm_lt_norm_add_const_of_dist_lt 0.000498 s: intermediate_field.inhabited 0.000794 s: set.Iic.semilattice_sup_bot._proof_5 0.000119 s: list.chain'._sunfold 0.069854 s: has_deriv_within_at.sinh 0.013234 s: simple_graph.degree_lt_card_verts 0.001286 s: simple_graph.card_common_neighbors_lt_card_verts 0.000249 s: quot.lift_beta 0.000245 s: quot.lift_mk 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category_theory.grothendieck.congr 0.000261 s: complex.tanh_of_real_im 0.000126 s: category_theory.limits.wide_pullback_shape.hom.has_sizeof_inst 0.000144 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.rw_0.sizeof_spec 0.000067 s: fp.rmode.NE.sizeof_spec 0.000115 s: congr_arg_kind.no_confusion_type 0.000565 s: congr_arg_kind.no_confusion 0.006984 s: congr_arg_kind.decidable_eq 0.001815 s: complete_semilattice_Inf.cases_on 0.000406 s: generalized_continued_fraction.terminated_at_iff_part_denom_none 0.000155 s: partition.rec_on 0.000642 s: mv_polynomial.aeval_eq_bind₁ 0.049922 s: constant_coeff_witt_polynomial 0.037452 s: witt_vector.bind₁_zero_witt_polynomial 0.038509 s: algebra.lmul_right.equations._eqn_1 0.002626 s: continuous_linear_equiv.coe_def_rev 0.000346 s: nat.pow_left_strict_mono 0.006834 s: submodule.no_zero_smul_divisors 0.006245 s: submodule.no_zero_smul_divisors.equations._eqn_1 0.000034 s: tactic.itauto.prop.has_sizeof_inst 0.000373 s: tactic.itauto.prop.and'.sizeof_spec 0.000160 s: has_sup.mk.inj_arrow 0.001368 s: ordered_ring.sub._default 0.000647 s: linear_ordered_ring.sub._default 0.000625 s: linear_ordered_comm_ring.sub._default 0.002690 s: frobenius_one 0.000188 s: witt_vector.is_poly₂.inhabited 0.001822 s: field.div._default.equations._eqn_1 0.000324 s: finset.range_add_one 0.000370 s: add_hom.id_apply 0.057001 s: category_theory.subterminals_equiv_mono_over_terminal_unit_iso_hom_app 0.007822 s: linear_equiv.of_involutive.equations._eqn_1 0.053522 s: category_theory.monad.mk.inj_eq 0.010641 s: nonarchimedean_group.prod.nonarchimedean_group._match_1.equations._eqn_1 0.000395 s: ordnode.remove_nth._match_1.equations._eqn_1 0.002506 s: add_valuation.is_equiv.val_eq 0.002089 s: distrib_mul_action_hom.no_confusion_type 0.002020 s: distrib_mul_action_hom.no_confusion 0.001972 s: semiconj_by.cast_nat_mul_right 0.000647 s: semiconj_by.cast_nat_mul_cast_nat_mul 0.000468 s: commute.cast_nat_mul_cast_nat_mul 0.000540 s: commute.self_cast_nat_mul_cast_nat_mul 0.000353 s: ereal.complete_lattice 0.000831 s: AddCommGroup.colimits.has_colimits_AddCommGroup.equations._eqn_1 0.000434 s: category_theory.limits.reflects_limits.sizeof 0.000328 s: continuous_map.comp_right_alg_hom._proof_1 0.000083 s: continuous_map.comp_right_alg_hom._proof_2 0.001458 s: continuous_map.comp_right_alg_hom._proof_4 0.000235 s: continuous_map.comp_right_alg_hom._proof_5 0.000150 s: continuous_map.comp_right_alg_hom._proof_8 0.000205 s: continuous_map.comp_right_alg_hom._proof_9 0.000767 s: continuous_map.comp_right_alg_hom._proof_10 0.000210 s: continuous_map.comp_right_alg_hom._proof_11 0.000733 s: continuous_map.comp_right_alg_hom._proof_12 0.000458 s: pi.one_comp 0.009471 s: continuous_map.comp_right_alg_hom._proof_13 0.005129 s: continuous_map.add_comp 0.031925 s: continuous_map.comp_right_alg_hom._proof_16 0.009609 s: algebra_map_apply 0.046291 s: continuous_map.comp_right_alg_hom._proof_17 0.044407 s: continuous_map.comp_right_alg_hom 0.007692 s: nat.even_sub 0.001170 s: nat.odd_sub 0.001179 s: free_add_magma.map._main.equations._eqn_2 0.000143 s: free_add_magma.map.equations._eqn_2 0.000207 s: measure_theory.finite_measure.to_locally_finite_measure 0.001686 s: matrix.col_vec_mul 0.000349 s: pfunctor.M.corec'._match_1 0.000215 s: pfunctor.M.corec'._match_1.equations._eqn_2 0.000708 s: one_le_inv' 0.008323 s: measure_theory.Lp.antimono 0.027732 s: intermediate_field.subalgebra.equiv_of_eq.equations._eqn_1 0.017534 s: lucas_lehmer.X.ωb_mul_ω 0.001178 s: lucas_lehmer.ω_unit._proof_2 0.000339 s: has_div.no_confusion 0.000194 s: has_div.mk.inj 0.005068 s: order.ideal.prime_pair.F_union_I 0.000313 s: zero_hom.congr_arg 0.000377 s: typevec.typevec_cases_nil₂ 0.000156 s: typevec.typevec_cases_nil₂.equations._eqn_1 0.001031 s: equiv.perm.refl_inv 0.000880 s: set.is_comm_applicative 0.000275 s: filter.at_bot.equations._eqn_1 0.000730 s: is_modular_lattice.drec_on 0.000132 s: algebraic_geometry.SheafedSpace.restrict._proof_6 0.005887 s: homological_complex.d_squared_assoc 0.014332 s: category_theory.limits.kernel_subobject_arrow' 0.000115 s: snum.czadd._main.equations._eqn_4 0.000041 s: snum.czadd.equations._eqn_4 0.004086 s: fin.coe_one' 0.000130 s: array.reverse 0.000281 s: buffer.reverse 0.000165 s: buffer.reverse.equations._eqn_1 0.000316 s: Mon.colimits.prequotient.inhabited 0.000298 s: Mon.colimits.colimit_type.inhabited 0.000289 s: topological_space.nonempty_compacts_inhabited._proof_1 0.000144 s: topological_space.nonempty_compacts_inhabited 0.000378 s: topological_space.nonempty_compacts_inhabited.equations._eqn_1 0.002018 s: distrib_mul_action.mk.sizeof_spec 0.000064 s: nat.infinite.equations._eqn_1 0.003017 s: rel_iso.mul_apply 0.026405 s: direct_sum.ghas_mul.of_add_subgroups.equations._eqn_1 0.000427 s: con.congr._proof_1 0.004691 s: con.congr._proof_2 0.000978 s: con.congr._proof_3 0.002116 s: con.congr._proof_4 0.001214 s: con.congr 0.003508 s: con.comap_eq 0.001513 s: con.comap_quotient_equiv 0.000174 s: list.scanr._match_1.equations._eqn_1 0.010769 s: linear_isometry.comp_assoc 0.004906 s: linear_isometry.monoid._proof_1 0.003807 s: linear_isometry.monoid 0.000228 s: set.surj_on.comap_nonempty 0.001615 s: continuous_linear_map.prodₗᵢ._proof_1 0.000422 s: num.decidable_prime._main.equations._eqn_1 0.000140 s: num.decidable_prime.equations._eqn_1 0.028187 s: witt_vector.frobenius_zmodp 0.000909 s: AddGroup.has_forget_to_AddMon.equations._eqn_1 0.000624 s: ultrafilter.ne_bot.equations._eqn_1 0.000633 s: encodable.choose_x._match_4.equations._eqn_1 0.000049 s: io.process.stdio.piped.sizeof_spec 0.000416 s: equiv.alg_equiv._proof_1 0.000287 s: equiv.alg_equiv._proof_4 0.007427 s: equiv.alg_equiv 0.000523 s: simple_graph.matching.rec_on 0.000397 s: infinite.exists_subset_card_eq 0.000352 s: dlist.cons._main.equations._eqn_1 0.003390 s: function.bicompr.is_lawful_bitraversable.equations._eqn_1 0.000088 s: 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reader_t.is_lawful_monad_cont._proof_1 0.001553 s: reader_t.is_lawful_monad_cont._proof_4 0.000587 s: reader_t.is_lawful_monad_cont 0.000499 s: reader_t.is_lawful_monad_cont.equations._eqn_1 0.000317 s: filter.realizer.top_σ 0.011846 s: pgame.omega_left_wins 0.000259 s: turing.dir.decidable_eq 0.000580 s: associates.factor_set_mem_eq_mem 0.003239 s: category_theory.limits.kernel.of_mono.equations._eqn_1 0.000407 s: mvqpf.cofix.equations._eqn_1 0.000491 s: znum.div._main.equations._eqn_6 0.002410 s: set.piecewise_le_piecewise 0.000460 s: int.decidable_lt_lt 0.000227 s: int.decidable_lt_lt.equations._eqn_1 0.001041 s: nonarchimedean_ring.dcases_on 0.000177 s: function.is_fixed_pt.to_left_inverse 0.000377 s: ordinal.omin.equations._eqn_1 0.000134 s: ennreal.has_measurable_inv 0.000100 s: ennreal.has_measurable_inv.equations._eqn_1 0.000539 s: ulift.mul_zero_class._proof_1 0.000382 s: ulift.mul_zero_class._proof_2 0.000174 s: ulift.mul_zero_class 0.000178 s: units.partial_order.equations._eqn_1 0.001727 s: linear_map.to_continuous_linear_map₁_coe 0.002556 s: continuous_linear_map.prod_map.equations._eqn_1 0.000827 s: free_group_is_free_group.equations._eqn_1 0.002534 s: pi.add_left_cancel_semigroup._proof_2 0.004658 s: complete_space.prod._match_1.equations._eqn_1 0.000357 s: linear_map.compatible_smul.has_sizeof_inst 0.001693 s: smooth.mdifferentiable_within_at 0.000488 s: list.prefix_or_prefix_of_prefix 0.000142 s: list.suffix_or_suffix_of_suffix 0.000253 s: CommGroup.of.equations._eqn_1 0.002519 s: matrix.reindex_alg_equiv_apply 0.000300 s: list.modify_last._main.equations._eqn_1 0.000102 s: slim_check.printable_prop.cases_on 0.000052 s: slim_check.printable_prop.no_confusion_type 0.000213 s: slim_check.printable_prop.no_confusion 0.001563 s: polynomial.gcd_monoid.equations._eqn_1 0.000644 s: bool.band_comm 0.000122 s: nat.land_comm 0.000167 s: quotient.out'.equations._eqn_1 0.001430 s: opposite.no_zero_divisors.equations._eqn_1 0.000454 s: ordinal.CNF_fst_le_log 0.004011 s: ordinal.log_le_self 0.000981 s: ordinal.CNF_fst_le 0.000084 s: omega.nat.preterm.sub_free.equations._eqn_4 0.000058 s: tactic.simp_intros_config.cases_on 0.000085 s: tactic.simp_intros_config.no_confusion_type 0.000210 s: tactic.simp_intros_config.no_confusion 0.000121 s: tactic.simp_intros_config.mk.inj 0.000116 s: tactic.simp_intros_config.mk.inj_arrow 0.000311 s: list.extractp._sunfold 0.002071 s: equiv.prod_sum_distrib_apply_right 0.000306 s: smul_left_cancel_iff 0.003237 s: ordnode.is_subset_aux._main.equations._eqn_4 0.013691 s: pi.bounded_lattice.equations._eqn_1 0.001084 s: category_theory.monad.id_coe 0.000193 s: plift.bind._main.equations._eqn_1 0.004734 s: list.sum_smul 0.008385 s: category_theory.quotient.lift.equations._eqn_1 0.000329 s: list.lex.is_order_connected._match_1.equations._eqn_3 0.001919 s: category_theory.limits.has_image_maps.cases_on 0.000822 s: category_theory.limits.has_image_maps.no_confusion_type 0.000903 s: category_theory.limits.has_image_maps.no_confusion 0.000842 s: monoid.in_closure.dcases_on 0.003087 s: list.map_concat 0.033465 s: has_fderiv_within_at_fst 0.060908 s: fderiv_within_fst 0.000794 s: function.semiconj.maps_to_range 0.000131 s: generalized_continued_fraction.pair.has_coe_to_generalized_continued_fraction_pair 0.000197 s: generalized_continued_fraction.has_coe_to_generalized_continued_fraction 0.010899 s: alternating_map.map_zero 0.000669 s: summable.sub 0.000512 s: category_theory.monoidal_nat_trans.inhabited.equations._eqn_1 0.116248 s: local_ring.residue_field.map._proof_1 0.176631 s: local_ring.residue_field.map 0.015930 s: gaussian_int.to_complex.equations._eqn_1 0.000432 s: wseq.lift_rel_o._main.equations._eqn_2 0.000265 s: wseq.lift_rel_o.equations._eqn_2 0.006392 s: wseq.join_map_ret 0.003102 s: is_bounded_bilinear_map.rec_on 0.000649 s: slim_check.injective_function.repr._main 0.000050 s: slim_check.injective_function.repr 0.001911 s: slim_check.injective_function.repr._main.equations._eqn_1 0.000610 s: slim_check.injective_function.repr.equations._eqn_1 0.000378 s: free_ring_punit_equiv_polynomial_int 0.001612 s: tangent_space.inhabited.equations._eqn_1 0.000174 s: option.decidable_eq_none 0.000215 s: option.decidable_eq_none.equations._eqn_1 0.001112 s: set.fintype_Union.equations._eqn_1 0.000018 s: int.quot 0.000158 s: int.quot._main.equations._eqn_1 0.000047 s: int.quot.equations._eqn_1 0.066718 s: algebraic_closure.step.algebra_succ.equations._eqn_1 0.011803 s: cardinal.aleph_idx.init 0.000704 s: monoid_with_zero_hom.coe_eq_to_monoid_hom 0.007006 s: set.add_monoid.equations._eqn_1 0.000360 s: set.mul_one_class.equations._eqn_1 0.000664 s: submodule.semimodule_set._proof_3 0.005380 s: category_theory.limits.image_map.subsingleton.equations._eqn_1 0.002100 s: emetric.inf_edist_union 0.001712 s: continuous_linear_map.differentiable_within_at 0.000687 s: prod.distrib_lattice._proof_6 0.001933 s: structomorph.refl._proof_3 0.001876 s: zero_hom.cancel_left 0.001378 s: local_homeomorph.is_image.symm_maps_to 0.009070 s: add_subgroup.map_comap_eq_self_of_surjective 0.000353 s: turing.partrec_to_TM2.K'.elim._sunfold 0.000527 s: multiset.fmap_def 0.002253 s: multiset.is_lawful_functor 0.076569 s: multiset.is_lawful_monad 0.020051 s: holor.cprank_max_nil 0.000262 s: Set.mem.equations._eqn_1 0.005348 s: subtype_val.is_monoid_hom.equations._eqn_1 0.000104 s: int.neg_le_of_neg_le 0.006815 s: localization_map.map_eq 0.067083 s: localization_map.map_smul 0.018298 s: category_theory.uncurry.obj_map 0.000070 s: nat.min_fac_le 0.003662 s: nat.not_prime_iff_min_fac_lt 0.000505 s: ordnode.find_le_aux._main.equations._eqn_1 0.005045 s: set.Ioc_subset_Ioo_union_Icc 0.001760 s: set.Ioo_union_Icc_eq_Ioc 0.004677 s: complex.cos_sub_sin_I 0.000057 s: xor.equations._eqn_1 0.000958 s: filter.realizer.sup._match_1.equations._eqn_1 0.000468 s: list.ilast._main.equations._eqn_3 0.004489 s: mat_poly_equiv_symm_apply_coeff 0.000289 s: ordset.insert._proof_1 0.000197 s: ordset.insert 0.000128 s: ordset.has_insert 0.006630 s: category_theory.over.iso_mk_hom_left 0.005337 s: finsupp.lsum_single 0.000928 s: plift.is_lawful_monad._match_2 0.000745 s: plift.is_lawful_monad._match_2.equations._eqn_1 0.016449 s: turing.partrec_to_TM2.move₂_ok 0.000186 s: list.repr.equations._eqn_1 0.002619 s: nat.not_succ_lt_self 0.000117 s: t1_space.rec_on 0.000036 s: tactic.abel.normalize_mode.raw.inj_arrow 0.005513 s: category_theory.limits.types.colimit_cocone_is_colimit._match_3.equations._eqn_1 0.006951 s: add_monoid_algebra.lift_unique' 0.015649 s: category_theory.abelian.pseudoelement.pseudo_injective_of_mono 0.000307 s: add_aut.to_perm._proof_2 0.003925 s: add_aut.to_perm 0.002377 s: add_aut.to_perm.equations._eqn_1 0.151998 s: times_cont_diff_bump.rec_on 0.000348 s: list.decidable_chain 0.000403 s: ordnode.of_list'._main 0.000289 s: ordnode.of_list'._main.equations._eqn_1 0.000257 s: continuous_map.partial_order.equations._eqn_1 0.000181 s: tactic.decl_reducibility.to_attribute._main.equations._eqn_3 0.000193 s: qpf.liftp_preservation 0.000197 s: qpf.liftp_preservation.equations._eqn_1 0.000235 s: sym2.mem.decidable._proof_1 0.000190 s: sym2.mem.decidable 0.000595 s: simple_graph.incidence_set_decidable_pred 0.000439 s: simple_graph.incidence_set_decidable_pred.equations._eqn_1 0.000588 s: category_theory.monoidal.transported.inhabited.equations._eqn_1 0.000554 s: finset.sum_fiberwise 0.021608 s: sylow.rotate_vectors_prod_eq_one.mul_action._proof_1 0.000641 s: sylow.rotate_vectors_prod_eq_one.mul_action 0.001679 s: sylow.rotate_vectors_prod_eq_one.mul_action.equations._eqn_1 0.000268 s: turing.tm2_computable_aux.mk.sizeof_spec 0.000105 s: zmod.has_repr._main.equations._eqn_1 0.005141 s: linear_map.pi_ext'_iff 0.000944 s: is_lawful_bifunctor.mk.inj_arrow 0.000702 s: multiset.coe_fold_r 0.021765 s: category_theory.monad.algebra.mk.inj_eq 0.008287 s: _private.2907559739.normal_add_aux._match_3 0.000547 s: _private.2907559739.normal_add_aux._proof_3 0.000469 s: order.is_ideal.dcases_on 0.000614 s: subfield.to_linear_ordered_field._proof_3 0.000650 s: set.finite.to_finset_inj 0.000678 s: cardinal.aleph_idx.equations._eqn_1 0.000220 s: linear_map.general_linear_group.equations._eqn_1 0.000251 s: simple_continued_fraction.has_coe_to_generalized_continued_fraction.equations._eqn_1 0.003990 s: dist_le_of_trajectories_ODE_of_mem_set 0.001379 s: dist_le_of_trajectories_ODE 0.000041 s: linarith.linexp.equations._eqn_1 0.003417 s: category_theory.braided_functor.mk_iso_hom 0.002746 s: prod.right_cancel_add_monoid.equations._eqn_1 0.026420 s: module.flat.cases_on 0.005173 s: is_noetherian.induction 0.000329 s: has_measurable_add₂.rec_on 0.002013 s: category_theory.is_filtered.coeq_hom.equations._eqn_1 0.021249 s: ideal.mem_leading_coeff_nth_zero 0.006778 s: list.to_finset_eq_iff_perm_erase_dup 0.000340 s: list.to_finset_eq_of_perm 0.063471 s: polynomial.disjoint_ker_aeval_of_coprime 0.016755 s: category_theory.limits.cokernel.cokernel_iso.equations._eqn_1 0.000589 s: uniform_space.completion.comm_ring._proof_11 0.000146 s: nonempty_empty 0.000326 s: infi_empty 0.000258 s: locally_constant.comm_ring._proof_1 0.001255 s: locally_constant.comm_ring._proof_4 0.000365 s: locally_constant.comm_ring._proof_5 0.000261 s: locally_constant.ring._proof_1 0.000264 s: locally_constant.ring._proof_3 0.000474 s: locally_constant.ring._proof_4 0.000283 s: locally_constant.ring._proof_9 0.000164 s: locally_constant.ring._proof_10 0.000127 s: locally_constant.ring._proof_11 0.000914 s: locally_constant.ring._proof_13 0.000156 s: locally_constant.ring._proof_14 0.000135 s: locally_constant.ring._proof_15 0.019094 s: locally_constant.ring 0.002295 s: locally_constant.comm_ring._proof_6 0.000631 s: locally_constant.comm_ring._proof_7 0.000199 s: locally_constant.comm_ring._proof_8 0.000155 s: locally_constant.comm_ring._proof_9 0.000172 s: locally_constant.comm_ring._proof_15 0.035874 s: locally_constant.comm_ring 0.035731 s: locally_constant.comm_ring.equations._eqn_1 0.000161 s: int.ldiff.equations._eqn_1 0.098088 s: intermediate_field.top_equiv.equations._eqn_1 0.000340 s: category_theory.limits.has_biproduct.cases_on 0.009972 s: category_theory.is_iso_equiv_nonzero._proof_1 0.000378 s: category_theory.is_iso_equiv_nonzero._proof_2 0.006950 s: category_theory.is_iso_equiv_nonzero._proof_3 0.002265 s: category_theory.is_iso_equiv_nonzero._proof_4 0.001549 s: category_theory.is_iso_equiv_nonzero 0.012626 s: subfield.closure_empty 0.000209 s: filter.countable_filter_basis.sizeof 0.001048 s: filter.countable_filter_basis.mk.sizeof_spec 0.005191 s: filter.tendsto_abs_at_top_at_top 0.000488 s: continuous_at.inv' 0.006326 s: supr_inf_le_Sup_inf 0.000883 s: category_theory.abelian.cases_on 0.000751 s: category_theory.abelian.no_confusion_type 0.001313 s: category_theory.abelian.no_confusion 0.001994 s: category_theory.abelian.mk.inj 0.000277 s: turing.partrec_to_TM2.Λ'.ibelow 0.019679 s: free_abelian_group.lift_monoid_symm_coe 0.000255 s: add_equiv.to_multiplicative'._proof_1 0.000160 s: add_equiv.to_multiplicative'._proof_2 0.000266 s: add_equiv.to_multiplicative'._proof_4 0.000197 s: add_equiv.to_multiplicative'._proof_5 0.000155 s: add_equiv.to_multiplicative'._proof_6 0.017232 s: add_equiv.to_multiplicative'._proof_8 0.013872 s: add_equiv.to_multiplicative' 0.000287 s: mul_equiv.to_additive' 0.000275 s: mul_equiv.to_additive'.equations._eqn_1 0.001352 s: set.maps_to_Union 0.000413 s: set.maps_to_Union_Union 0.001064 s: set.maps_to_bUnion_bUnion 0.000193 s: embedding.second_countable_topology 0.000811 s: model_with_corners.second_countable_topology 0.000593 s: Top.presheaf.sheafify.equations._eqn_1 0.000564 s: free_semigroup_free_magma._proof_1 0.000341 s: magma.free_semigroup.induction_on 0.000263 s: magma.free_semigroup.of_mul 0.002298 s: free_semigroup_free_magma._proof_2 0.000717 s: free_semigroup_free_magma 0.000874 s: filter.is_measurably_generated_top 0.000091 s: tactic.rewrite_cfg.rec_on 0.000561 s: cardinal.ord.equations._eqn_1 0.003857 s: Top.has_forget_to_Meas.equations._eqn_1 0.000033 s: rat.has_to_string 0.000032 s: rat.has_to_string.equations._eqn_1 0.000343 s: sequentially_continuous.equations._eqn_1 0.073173 s: adic_completion.coe_eval 0.000375 s: discrete_topology_bot.equations._eqn_1 0.001026 s: category_theory.equivalence.symm_functor 0.000316 s: pi.has_sub.equations._eqn_1 0.009863 s: finprod_mem_mul_distrib 0.000441 s: AddCommGroup.one.unique 0.000730 s: equiv.prod_comm._match_1.equations._eqn_1 0.000100 s: ulower.inhabited 0.000170 s: ulower.inhabited.equations._eqn_1 0.004342 s: polynomial.eval₂_at_nat_cast 0.021617 s: pochhammer_eval_cast 0.021345 s: bernstein_polynomial.iterate_derivative_at_0_aux₂ 0.000876 s: pnat.prime.not_dvd_one 0.000232 s: list.to_finset.equations._eqn_1 0.000103 s: is_per.cases_on 0.003966 s: smooth_add_monoid_morphism.has_zero._proof_1 0.002104 s: smooth_add_monoid_morphism.has_zero 0.002689 s: smooth_add_monoid_morphism.has_zero.equations._eqn_1 0.001613 s: category_theory.subobject.bot_coe_iso_zero 0.000634 s: category_theory.subobject.bot_arrow 0.000304 s: turing.TM2.supports 0.000169 s: nat.decidable_forall_fin._match_1.equations._eqn_1 0.010867 s: int.of_nat_hom.equations._eqn_1 0.000306 s: fin_rotate._main.equations._eqn_1 0.001544 s: pgame.inv_ty.left₁.inj_eq 0.043538 s: category_theory.over.map_pullback_adj.equations._eqn_1 0.000392 s: set.disjoint_singleton_right 0.009913 s: pi.support_single_disjoint 0.003201 s: category_theory.functor.pi_map 0.000051 s: omega.clause.equations._eqn_1 0.000796 s: unsigned.has_variable_names._proof_1 0.000741 s: topological_ring.drec 0.000822 s: submodule.is_principal.drec 0.001035 s: monad_io.mk.sizeof_spec 0.002762 s: set.eval_preimage 0.001371 s: set.univ_pi_eq_Inter 0.046236 s: generate_from_pi_eq 0.012681 s: generate_from_eq_pi 0.000849 s: generate_from_pi 0.001708 s: category_theory.limits.has_zero_morphisms_punit._proof_2 0.012845 s: normed_algebra.zero_ne_one 0.000268 s: normed_algebra.nontrivial 0.149201 s: continuous_linear_map.op_norm_lmul 0.087004 s: continuous_linear_map.op_norm_lmul_right 0.000453 s: ordnode.update_with._match_2.equations._eqn_1 0.000363 s: distrib.sizeof 0.000041 s: distrib.has_sizeof_inst 0.000189 s: _private.549113655.P._sunfold 0.006298 s: real.one_le_rpow 0.000212 s: category_theory.pairwise.hom.id_pair.sizeof_spec 0.000295 s: inducing.drec_on 0.010524 s: category_theory.center.forget_to_lax_monoidal_functor_ε 0.002930 s: triv_sq_zero_ext.inr_hom_apply 0.004824 s: category_theory.limits.pushout_cocone.mk_ι_app_zero 0.002644 s: finset.sort_to_finset 0.001638 s: polynomial.dickson._main.equations._eqn_2 0.000341 s: polynomial.dickson.equations._eqn_2 0.000702 s: list.prefix_iff_eq_append 0.000062 s: char.no_confusion_type 0.087221 s: has_mfderiv_within_at_inter 0.090875 s: has_mfderiv_within_at.has_mfderiv_at 0.053666 s: differentiable.csin 0.000389 s: matrix.add_comm_semigroup 0.000114 s: or_eq_of_eq 0.006415 s: smooth_manifold_with_corners.maximal_atlas.equations._eqn_1 0.003806 s: set_like.coe_ssubset_coe 0.050794 s: category_theory.whiskering_left_map_app_app 0.000506 s: omega.int.is_nnf._main.equations._eqn_6 0.000149 s: omega.int.is_nnf.equations._eqn_6 0.069881 s: witt_structure_prop 0.002379 s: quaternion.neg_im_j 0.000565 s: has_measurable_sub₂.to_has_measurable_sub.equations._eqn_1 0.045252 s: one_le_fpow_of_nonneg 0.009721 s: group_with_zero.no_zero_divisors.equations._eqn_1 0.003913 s: tactic_doc._1928638115 0.008311 s: local_homeomorph.eq_on_source.restr 0.021523 s: structomorph.trans._proof_3 0.000410 s: pos_num.decidable_le._sunfold 0.000403 s: gpow_bit0 0.001260 s: category_theory.limits.span_zero 0.000213 s: totally_disconnected_space.dcases_on 0.000149 s: rbtree.depth 0.000168 s: rbtree.depth.equations._eqn_1 0.000786 s: category_theory.equivalence.symm_inverse 0.000098 s: std_gen.random_gen.equations._eqn_1 0.012147 s: category_theory.under_to_algebra_obj_a 0.001201 s: denumerable.mk.sizeof_spec 0.000062 s: bitvec.of_int 0.000246 s: pnat.prime.ne_one 0.001428 s: prod.mk_vadd_mk 0.001967 s: pi.vadd_apply 0.209896 s: affine_map.weighted_vsub_of_point._proof_2 0.166029 s: affine_map.weighted_vsub_of_point 0.000259 s: category_theory.limits.cone.has_sizeof_inst 0.002063 s: category_theory.liftable_cone.sizeof 0.000423 s: category_theory.liftable_cone.has_sizeof_inst 0.002601 s: category_theory.lifts_to_limit.sizeof 0.002795 s: category_theory.lifts_to_limit.mk.sizeof_spec 0.006851 s: pi.omega_complete_partial_order.equations._eqn_1 0.000530 s: finset.max'._match_2.equations._eqn_1 0.014507 s: function.injective.linear_ordered_cancel_comm_monoid._proof_1 0.000450 s: con.mul_ker.equations._eqn_1 0.005736 s: smooth_map.coe_smul 0.000566 s: equiv.sigma_equiv_prod.equations._eqn_1 0.000730 s: semi_normed_ring.no_confusion_type 0.000664 s: semi_normed_ring.no_confusion 0.001496 s: is_CHSH_tuple.no_confusion 0.001000 s: normed_space.rec_on 0.000122 s: char.has_repr.equations._eqn_1 0.130409 s: continuous_linear_map.norm_smul_rightL_apply 0.000252 s: is_strict_weak_order.drec_on 0.013594 s: add_monoid_hom.of_map_add_neg._proof_1 0.002112 s: add_monoid_hom.of_map_add_neg 0.002645 s: add_monoid_hom.coe_of_map_add_neg 0.050267 s: fraction_map.to_field.equations._eqn_1 0.000158 s: strict_weak_order.erefl 0.010557 s: typevec.typevec_cases_nil₃._proof_1 0.001370 s: polynomial.smul_eval 0.000050 s: turing.partrec_to_TM2.K'.stack.inj_eq 0.003514 s: finset.sup_apply 0.010892 s: finset.inf_apply 0.000322 s: tactic.rewrite_search.dir_pair.no_confusion_type 0.000381 s: tactic.rewrite_search.dir_pair.no_confusion 0.096383 s: nnreal.tsum_mul_left 0.017595 s: prod.discrete_topology._match_1.equations._eqn_1 0.003158 s: con.quotient_quotient_equiv_quotient._proof_1 0.000740 s: bounded_continuous_function.coe_const 0.000955 s: linear_equiv.ext_iff 0.001266 s: monoid_hom.mk.inj_eq 0.019340 s: linear_map.lie_ring_module.equations._eqn_1 0.000194 s: turing.fin_tm2.Λ_fin 0.002080 s: uniform_space.completion.is_add_group_hom_coe.equations._eqn_1 0.000336 s: fintype.choose 0.005430 s: fintype.bij_inv._proof_1 0.001050 s: fintype.bij_inv 0.013387 s: field_of_integral_domain._proof_23 0.000937 s: category_theory.grothendieck.no_confusion 0.000675 s: category_theory.grothendieck.mk.inj 0.002949 s: category_theory.grothendieck.mk.inj_eq 0.001778 s: prod.has_continuous_add.equations._eqn_1 0.000161 s: Module.of.equations._eqn_1 0.000414 s: category_theory.limits.colimit_cocone.sizeof 0.001641 s: matrix.reindex_symm 0.005984 s: basic_smooth_bundle_core.times_cont_mdiff_on_proj 0.002882 s: basic_smooth_bundle_core.smooth_on_proj 0.001303 s: comm_group.sizeof 0.013601 s: polynomial.nat_trailing_degree_le_nat_trailing_degree 0.000272 s: filter.germ.has_bot.equations._eqn_1 0.000195 s: NonemptyFinLinOrd.of.equations._eqn_1 0.001365 s: linear_isometry.coe_one 0.004082 s: category_theory.functor.additive.cases_on 0.097995 s: smooth_bump_function.c_mem_support 0.001010 s: ulift.add_right_cancel_semigroup._proof_1 0.017193 s: ulift.add_right_cancel_semigroup._proof_2 0.000460 s: ulift.add_right_cancel_semigroup 0.025504 s: subfield.closure_Union 0.019309 s: subfield.closure_induction 0.004051 s: subfield.add_mem 0.000790 s: subfield.neg_mem 0.019855 s: subfield.mem_supr_of_directed 0.016634 s: subfield.mem_Sup_of_directed_on 0.000066 s: surreal.has_lt.equations._eqn_1 0.002845 s: game.ordered_add_comm_group_game.equations._eqn_1 0.031357 s: subset_conditionally_complete_linear_order.equations._eqn_1 0.008130 s: comm_group.mk.sizeof_spec 0.000259 s: is_asymm_of_is_trans_of_is_irrefl.equations._eqn_1 0.000129 s: rack.pre_envel_group.unit.sizeof_spec 0.000935 s: Set.sep._match_6.equations._eqn_1 0.000059 s: decidable.is_false.inj_arrow 0.045716 s: prod_eq_generate_from 0.031436 s: is_lub.exists_between_sub_self' 0.000190 s: to_additive.value_type.mk.inj 0.000372 s: to_additive.value_type.mk.inj_eq 0.005290 s: add_action.mk.sizeof_spec 0.000358 s: nat.decidable_le._match_1._proof_1 0.001218 s: has_sum.has_sum_of_sum_eq 0.003009 s: pfun.dom_of_mem_fix 0.000417 s: add_le_of_nonpos_of_le' 0.000903 s: finset.sum_nonpos 0.002574 s: finset.sum_le_sum_of_ne_zero 0.009639 s: decidable.mul_le_mul_left 0.010152 s: nat.div_le_of_le_mul' 0.004123 s: nat.div_le_self' 0.013182 s: topological_space.opens.map_iso.equations._eqn_1 0.004873 s: conditionally_complete_linear_order.no_confusion 0.010730 s: conditionally_complete_linear_order.mk.inj 0.018096 s: conditionally_complete_linear_order.mk.inj_arrow 0.003296 s: int.induction_on'._proof_13 0.001205 s: ordnode.find_lt._main.equations._eqn_2 0.000235 s: many_one_degree.has_add 0.000114 s: many_one_degree.has_add.equations._eqn_1 0.000247 s: category_theory.grothendieck_topology.right_ore_condition 0.000345 s: category_theory.projective.rec_on 0.095820 s: continuous_multilinear_map.norm_mk_pi_algebra_le 0.008519 s: mvqpf.fix.rec.equations._eqn_1 0.000303 s: category_theory.has_lifting_property.rec_on 0.000155 s: option_t.monad_map 0.000211 s: option_t.monad_functor 0.000229 s: option_t.monad_functor.equations._eqn_1 0.000219 s: subgroup.inhabited.equations._eqn_1 0.000129 s: nonneg_add_comm_group.nsmul._default 0.000370 s: nonneg_add_comm_group.nsmul._default.equations._eqn_1 0.027285 s: power_basis.equiv_gen 0.636229 s: power_basis.equiv_adjoin_simple_gen 0.000292 s: regular_expression.star.sizeof_spec 0.000935 s: Ring.ring_obj 0.000171 s: Cauchy.inhabited.equations._eqn_1 0.002830 s: set.sUnion_pair 0.005720 s: con.map_of_surjective.equations._eqn_1 0.022135 s: measure_theory.measure.sigma_finite_tprod.equations._eqn_1 0.318264 s: continuous_linear_map.flipₗᵢ_symm 0.000351 s: le_infi_const 0.000195 s: ring_equiv.subfield_congr._proof_1 0.000490 s: ring_equiv.subfield_congr._proof_2 0.013554 s: ring_equiv.subfield_congr._proof_4 0.023748 s: ring_equiv.subfield_congr 0.023174 s: ring_equiv.subfield_congr.equations._eqn_1 0.015877 s: polynomial.chebyshev.map_U 0.003939 s: shrinking_lemma.partial_refinement.mk.inj_eq 0.000232 s: except.map_error._main.equations._eqn_1 0.000202 s: int.gcd_self 0.000097 s: subtype.tag_irrelevant 0.002656 s: category_theory.limits.coprod.map_map_assoc 0.001036 s: mv_polynomial.iter_to_sum.equations._eqn_1 0.001651 s: nndist_edist 0.000992 s: complete_semilattice_Inf.no_confusion_type 0.001183 s: complete_semilattice_Inf.no_confusion 0.002773 s: complete_semilattice_Inf.mk.inj 0.000671 s: set.sub_mem_Ioo_iff_right 0.002422 s: with_zero.lift.equations._eqn_1 0.002852 s: fin.coe_of_injective_cast_succ_symm 0.007290 s: add_equiv.add_monoid_hom_congr._proof_3 0.000074 s: tactic.apply_cfg.approx._default.equations._eqn_1 0.000310 s: hahn_series.subsingleton 0.001730 s: linear_isometry.map_eq_iff 0.167501 s: matrix.to_bilin'_std_basis 0.003871 s: submodule.restrict_scalars_carrier 0.062141 s: polynomial.eisenstein_criterion_aux.is_unit_of_nat_degree_eq_zero_of_forall_dvd_is_unit 0.000441 s: mvqpf.prj.map 0.000130 s: mvqpf.prj.mvfunctor 0.000132 s: mvqpf.prj.mvqpf._proof_1 0.006916 s: mvqpf.prj.mvqpf._proof_2 0.000837 s: mvqpf.prj.mvqpf 0.000741 s: mvqpf.prj.mvqpf.equations._eqn_1 0.087504 s: cau_seq.lim_inv 0.015526 s: list.index_of_argmin 0.078952 s: submonoid.map_supr 0.014104 s: category_theory.structured_arrow.mk_right 0.007788 s: mul_lt_mul_iff_right 0.001998 s: mul_lt_iff_lt_one_right' 0.000074 s: and_eq_of_eq 0.001332 s: ordnode.drop_while._main.equations._eqn_2 0.356711 s: linear_map.to_bilin_symm 0.008385 s: differentiable.sum 0.000753 s: list.last._main.equations._eqn_1 0.000261 s: free_magma.of.inj 0.000099 s: free_magma.of.inj_arrow 0.015299 s: tactic_doc._92956970 0.000167 s: list.slice._sunfold 0.003838 s: add_right_cancel_monoid.rec_on 0.001340 s: wseq.zip_with._match_1.equations._eqn_6 0.001299 s: submodule.quotient.has_scalar.equations._eqn_1 0.000024 s: linarith.linexp.cmp 0.000051 s: linarith.linexp.cmp.equations._eqn_1 0.617161 s: midpoint_le_right 0.000216 s: wseq.is_finite.drec 0.000568 s: slim_check.testable.check'._match_1.equations._eqn_2 0.030120 s: category_theory.functor.prod_obj 0.013756 s: fin_equiv_multiples.equations._eqn_1 0.000196 s: list.remove_all 0.000230 s: list.remove_all.equations._eqn_1 0.034360 s: multiplicity.multiplicity_add_of_gt 0.000574 s: subfield.to_linear_ordered_field._proof_9 0.000130 s: linarith.comp_source.add.inj_arrow 0.000943 s: set.Iio.set.Ioi.semilattice_sup._proof_1 0.000517 s: set.Iio.set.Ioi.semilattice_sup 0.000489 s: set.Iio.set.Ioi.semilattice_sup.equations._eqn_1 0.000580 s: category_theory.presieve.bind.equations._eqn_1 0.004254 s: category_theory.limits.coprod.left_unitor.equations._eqn_1 0.000305 s: finset.inter_self 0.004954 s: mv_polynomial.monad.equations._eqn_1 0.010106 s: omega_complete_partial_order.continuous_hom.omega_complete_partial_order._proof_1 0.011068 s: omega_complete_partial_order.continuous_hom.omega_complete_partial_order._proof_2 0.008116 s: omega_complete_partial_order.continuous_hom.omega_complete_partial_order 0.006773 s: omega_complete_partial_order.continuous_hom.omega_complete_partial_order.equations._eqn_1 0.000173 s: occurrences.contains._sunfold 0.000357 s: units.val_coe 0.025267 s: set.Iic.bounded_lattice.equations._eqn_1 0.007917 s: nat.sum_divisors_eq_sum_proper_divisors_add_self 0.006952 s: nat.perfect_iff_sum_divisors_eq_two_mul 0.000071 s: format.color.green.sizeof_spec 0.001350 s: linear_map.dom_restrict.equations._eqn_1 0.000334 s: alist.has_mem.mem.decidable 0.000442 s: alist.has_mem.mem.decidable.equations._eqn_1 0.106485 s: perfect_closure.field._proof_13 0.000291 s: category_theory.limits.is_image.has_sizeof_inst 0.000055 s: lint_verbosity.sizeof 0.104747 s: euclidean.ball.equations._eqn_1 0.000581 s: real.has_measurable_pow.equations._eqn_1 0.000509 s: category_theory.functor.of 0.010928 s: category_theory.functorial_comp._proof_1 0.002068 s: category_theory.functorial_comp._proof_2 0.004831 s: category_theory.functorial_comp 0.003444 s: category_theory.functorial_comp.equations._eqn_1 0.008425 s: linear_isometry_equiv.comp_differentiable_iff 0.000043 s: tactic.decl_reducibility.sizeof 0.000046 s: tactic.decl_reducibility.semireducible.sizeof_spec 0.000053 s: znum.has_div.equations._eqn_1 0.000195 s: is_preorder.swap 0.000278 s: is_partial_order.swap 0.010341 s: Meas.Measure._match_3.equations._eqn_1 0.002154 s: category_theory.limits.comp_reflects_colimits_of_shape.equations._eqn_1 0.002222 s: category_theory.with_initial.lift_unique._match_1.equations._eqn_2 0.016842 s: slim_check.le.sampleable._proof_1 0.021076 s: slim_check.le.sampleable 0.000377 s: pfunctor.approx.cofix_a.sizeof 0.003161 s: pfunctor.approx.cofix_a.intro.sizeof_spec 0.001021 s: continuous_map.equiv_fn_of_discrete_apply 0.000082 s: left_cancel_semigroup.has_sizeof_inst 0.000454 s: category_theory.with_terminal.hom._main.equations._eqn_4 0.000084 s: category_theory.with_terminal.hom.equations._eqn_4 0.004009 s: local_equiv.piecewise_symm_apply 0.003225 s: witt_vector.verschiebung_zmod 0.013102 s: category_theory.limits.is_limit.of_nat_iso._proof_1 0.001223 s: category_theory.thin_skeleton.thin_skeleton_partial_order.equations._eqn_1 0.005223 s: category_theory.grothendieck_topology.pullback_close 0.004928 s: one_lt_div_of_neg 0.142705 s: one_lt_div_iff 0.000173 s: ordered_cancel_add_comm_monoid.nsmul._default 0.000115 s: linear_ordered_cancel_add_comm_monoid.nsmul._default 0.000253 s: linear_ordered_cancel_add_comm_monoid.nsmul._default.equations._eqn_1 0.000056 s: string.singleton.equations._eqn_1 0.000605 s: set.Iic.semilattice_sup_bot._proof_2 0.000710 s: set.Iic.semilattice_sup_bot._proof_8 0.023542 s: set.Iic.semilattice_sup_bot 0.000049 s: ordering.decidable_eq._match_2._proof_2 0.000717 s: slim_check.subtype_var_testable._match_2 0.001501 s: is_lawful_monad.cases_on 0.000125 s: is_total_preorder.cases_on 0.000169 s: is_symm_op_of_is_commutative 0.000348 s: nat.arithmetic_function.id_apply 0.001506 s: except_t.monad.equations._eqn_1 0.104152 s: convex.norm_image_sub_le_of_norm_fderiv_le' 0.019837 s: interval_integral.integral_comp_sub_right 0.041096 s: tangent_space.vector_space.equations._eqn_1 0.004912 s: finset.sup_congr 0.000124 s: pos_num.of_znum'._main.equations._eqn_3 0.000031 s: pos_num.of_znum'.equations._eqn_3 0.005302 s: add_submonoid.localization_map.of_add_equiv_of_dom._proof_1 0.004557 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_3 0.003591 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_4 0.001447 s: add_submonoid.localization_map.of_add_equiv_of_dom._proof_3 0.004389 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_5 0.003031 s: add_submonoid.localization_map.of_add_equiv_of_dom._match_6 0.002562 s: add_submonoid.localization_map.of_add_equiv_of_dom._proof_4 0.003331 s: add_submonoid.localization_map.of_add_equiv_of_dom 0.009645 s: add_submonoid.localization_map.of_add_equiv_of_dom_id 0.002201 s: differentiable_within_at.snd 0.000333 s: complex.cosh_of_real_im 0.002404 s: category_theory.limits.id_reflects_colimits._proof_1 0.027572 s: category_theory.limits.id_reflects_colimits._proof_2 0.041614 s: category_theory.limits.id_reflects_colimits._proof_3 0.012778 s: category_theory.limits.id_reflects_colimits 0.000438 s: equiv.mul_zero_class._proof_1 0.000413 s: equiv.mul_zero_class._proof_2 0.001311 s: equiv.mul_zero_class 0.000689 s: equiv.mul_zero_class.equations._eqn_1 0.018735 s: quadratic_form.add_lin_mul_lin 0.000022 s: tactic.apply_any_opt.use_symmetry._default 0.000344 s: uliftable.adapt_up.equations._eqn_1 0.000445 s: omega.int.dnf_core._main.equations._eqn_3 0.000279 s: ordnode.of_list'._sunfold 0.000064 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_18 0.000472 s: neg_lt_of_neg_lt 0.000435 s: ring_invo.has_coe_to_ring_equiv.equations._eqn_1 0.004784 s: mvpfunctor.Wp_rec._sunfold 0.002293 s: uniform_space.comap._match_2.equations._eqn_1 0.017569 s: finset.exists_one_lt_of_prod_one_of_exists_ne_one' 0.012723 s: ring_hom.prod_map 0.005201 s: ring_hom.coe_prod_map 0.000237 s: turing.to_partrec.cont.then._sunfold 0.000620 s: category_theory.limits.preserves_colimits_of_shape.cases_on 0.001661 s: category_theory.limits.preserves_colimit_subsingleton 0.000872 s: category_theory.limits.preserves_colimits_of_shape_subsingleton 0.000749 s: category_theory.limits.preserves_colimits_subsingleton 0.002661 s: finset.inter_eq_left_iff_subset 0.003173 s: category_theory.is_iso_of_regular_mono_of_epi 0.003147 s: mul_eq_mul_of_div_eq_div 0.003127 s: fin.coe_nat_eq_last 0.000044 s: tactic.new_goals.non_dep_first.inj 0.000038 s: tactic.new_goals.non_dep_first.inj_arrow 0.003594 s: function.injective.monoid.equations._eqn_1 0.017570 s: affine_map.coe_homothety_affine 0.000554 s: mv_polynomial.support_monomial_subset 0.000374 s: char.no_confusion 0.000116 s: char.mk.inj 0.000056 s: char.mk.inj_arrow 0.000150 s: polynomial.ring.equations._eqn_1 0.000984 s: normed_group_hom.has_neg.equations._eqn_1 0.000446 s: category_theory.sieve.no_confusion_type 0.000522 s: category_theory.sieve.no_confusion 0.002755 s: category_theory.sieve.mk.inj 0.113963 s: real.equiv_Cauchy._match_1.equations._eqn_1 0.000355 s: category_theory.with_terminal.hom._main.equations._eqn_2 0.000225 s: opposite.comm_group._proof_2 0.000637 s: ordnode.find_max'._main.equations._eqn_2 0.031374 s: mul_equiv.to_additive._proof_8 0.007822 s: conditionally_complete_linear_order.rec_on 0.000505 s: invertible_inv_of.equations._eqn_1 0.000275 s: submonoid.no_confusion_type 0.000508 s: submonoid.no_confusion 0.000903 s: submonoid.mk.inj 0.001253 s: submonoid.mk.inj_eq 0.002145 s: category_theory.mono_over.forget.category_theory.faithful.equations._eqn_1 0.001721 s: valuation.integers.cases_on 0.000193 s: vector_ex._sunfold 0.009881 s: associates.le_of_mul_le_mul_left 0.020594 s: associates.one_or_eq_of_le_of_prime 0.004325 s: polynomial.coeff_X_mul_zero 0.002810 s: category_theory.sigma.incl.category_theory.full._match_1 0.005319 s: category_theory.sigma.incl.category_theory.full._match_2 0.000897 s: category_theory.sigma.incl.category_theory.full._proof_1 0.002745 s: int.modeq.gcd_a_modeq 0.000273 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_12 0.000256 s: stream.cycle._sunfold 0.000976 s: interior_Ico 0.318608 s: unique_diff_on_Ico 0.000228 s: prod.semilattice_inf_bot._proof_2 0.025756 s: prod.semilattice_inf_bot._proof_3 0.000463 s: prod.semilattice_inf_bot._proof_4 0.000661 s: prod.semilattice_inf_bot._proof_6 0.000522 s: prod.semilattice_inf_bot._proof_7 0.000913 s: prod.semilattice_inf_bot._proof_8 0.006491 s: prod.semilattice_inf_bot 0.000356 s: array.mem.equations._eqn_1 0.000116 s: vector.elim._proof_1 0.001456 s: vector.elim._sunfold 0.003385 s: add_monoid_hom.single.equations._eqn_1 0.000159 s: lazy_list.of_list.equations._eqn_1 0.002656 s: preorder_hom.has_Inf_Inf_to_fun 0.000720 s: finset.lt_eq_subset 0.001185 s: set.proj_Icc_right 0.000656 s: normed_group_hom.norm_noninc.equations._eqn_1 0.000079 s: tactic.suggest.head_symbol_match.mp.sizeof_spec 0.002736 s: homeomorph.mul_right'.equations._eqn_1 0.004827 s: bundle_trivialization.mk.sizeof_spec 0.000098 s: omega.ee.cancel.sizeof_spec 0.004984 s: free_monoid.map.equations._eqn_1 0.002871 s: category_theory.functor.left_op_faithful 0.002503 s: measure_theory.measure.pi_has_no_atoms 0.000999 s: measure_theory.measure.pi.measure_theory.has_no_atoms 0.001176 s: measure_theory.measure.pi.measure_theory.has_no_atoms.equations._eqn_1 0.000587 s: vector.elim._main 0.000509 s: vector.elim 0.001139 s: sym2.other_eq_other' 0.000755 s: sym2.mem_other_mem' 0.003370 s: simple_graph.edge_mem_other_incident_set 0.000657 s: ideal.quotient.inhabited 0.000856 s: category_theory.core.forget_functor_to_core.equations._eqn_1 0.004173 s: category_theory.monoidal_category.tensor_id' 0.011515 s: function.injective.semiring.equations._eqn_1 0.001609 s: add_submonoid.localization_map.add_equiv_of_add_equiv 0.000498 s: list.many._sunfold 0.010549 s: ring_hom.eq_locus.equations._eqn_1 0.001018 s: dfinsupp.pre.setoid.equations._eqn_1 0.001487 s: slim_check.testable.run_suite_aux._match_1.equations._eqn_2 0.011823 s: category_theory.Monad.Monad_Mon_equiv.counit_iso_hom_app_hom_app 0.001170 s: polynomial.separable.equations._eqn_1 0.003995 s: fderiv_add_const 0.003345 s: fderiv_const_add 0.002138 s: ordered_add_comm_monoid.no_confusion_type 0.001948 s: ordered_add_comm_monoid.no_confusion 0.006524 s: ordered_add_comm_monoid.mk.inj 0.002791 s: affine_equiv.const_vadd_symm_apply 0.000263 s: set.Ioi_def 0.001729 s: category_theory.differential_object.iso_app_refl 0.002413 s: bounded_continuous_function.forget_boundedness_add_hom.equations._eqn_1 0.000870 s: filter.realizer.Sup._match_2 0.000760 s: filter.realizer.Sup._match_2.equations._eqn_1 0.081850 s: times_cont_diff_within_at.log 0.093504 s: times_cont_diff_on.log 0.013033 s: add_submonoid.localization_map.add_mk'_zero_eq_mk' 0.007478 s: add_submonoid.localization_map.mk'_add_cancel_right 0.000152 s: computation.rmap._sunfold 0.001116 s: differentiable_on.mdifferentiable_on 0.010289 s: pnat.exists_eq_succ_of_ne_one 0.005161 s: add_submonoid.to_nat_submodule._match_2.equations._eqn_1 0.001069 s: psigma.lex.drec 0.000346 s: onote.cmp._main.equations._eqn_1 0.000085 s: turing.partrec_to_TM2.Λ'.read.inj_arrow 0.005389 s: mvqpf.Wequiv.drec_on 0.001726 s: affine_map.const.equations._eqn_1 0.001271 s: category_theory.monad.comparison_obj_A 0.004567 s: intermediate_value_interval 0.001362 s: isometric.comp_continuous_iff 0.023176 s: differentiable_on.div_const 0.000167 s: is_asymm.drec 0.000434 s: trunc.lift.equations._eqn_1 0.000392 s: lazy_list.approx._main.equations._eqn_2 0.000100 s: lazy_list.approx.equations._eqn_2 0.002570 s: list.mmap_filter._main 0.000109 s: list.mmap_filter 0.000826 s: list.mmap_filter._main.equations._eqn_2 0.000328 s: list.mmap_filter.equations._eqn_2 0.000213 s: additive.linear_order.equations._eqn_1 0.000019 s: num.one_bits 0.001307 s: category_theory.right_lifting_subcategory._proof_2 0.000660 s: subring.to_ordered_comm_ring._proof_4 0.000670 s: list.decidable_prefix._main.equations._eqn_2 0.000163 s: list.decidable_prefix.equations._eqn_2 0.006413 s: affine_map.mk.sizeof_spec 0.002910 s: set.sUnion_union 0.000051 s: turing.partrec_to_TM2.nat_end._sunfold 0.000433 s: ring.fractional_ideal.has_add.equations._eqn_1 0.000117 s: measurable_unit 0.000276 s: has_continuous_add.dcases_on 0.002876 s: interval_integral.integral_has_strict_deriv_at_of_tendsto_ae_left 0.001047 s: interval_integral.integral_has_deriv_at_of_tendsto_ae_left 0.000140 s: order.pfilter.order_bot._proof_1 0.000439 s: order.pfilter.order_bot._proof_3 0.000311 s: order.pfilter.order_bot._proof_4 0.010098 s: order.pfilter.order_bot 0.005826 s: order.pfilter.order_bot.equations._eqn_1 0.000662 s: AddCommGroup.has_limits.equations._eqn_1 0.006267 s: category_theory.with_terminal.lift_unique.equations._eqn_1 0.007668 s: exists_nhds_split_inv 0.000029 s: string.inhabited 0.000029 s: string.inhabited.equations._eqn_1 0.000770 s: monoid.sizeof 0.000048 s: monoid.has_sizeof_inst 0.000044 s: computation.has_coe_t 0.000076 s: computation.has_coe_t.equations._eqn_1 0.004727 s: category_theory.coyoneda.iso_comp_punit_hom_app 0.000049 s: turing.inhabited_tm2_outputs_in_time._proof_3 0.000542 s: measure_theory.measure.is_complete.dcases_on 0.000578 s: add_equiv.prod_comm.equations._eqn_1 0.000091 s: _private.1785958385.name.components'._sunfold 0.000062 s: star_ordered_ring.has_sizeof_inst 0.000354 s: list.alternating_sum._main.equations._eqn_2 0.000132 s: list.alternating_sum.equations._eqn_2 0.071069 s: nat.of_digits_neg_one 0.000122 s: int.modeq.decidable 0.019368 s: nat.modeq_eleven_digits_sum 0.001032 s: category_theory.center.tensor_unit_fst 0.000237 s: tensor_algebra.equations._eqn_1 0.003014 s: option.map_pbind 0.001931 s: finset.card_attach_fin 0.008970 s: real.arccos_neg_one 0.000170 s: fintype.no_confusion_type 0.000472 s: fintype.no_confusion 0.000214 s: fintype.mk.inj 0.005543 s: nnreal.has_Inf._match_1.equations._eqn_1 0.000498 s: set.smul_set_empty 0.001682 s: mvqpf.pi.repr._main 0.000233 s: turing.list_blank.mk.equations._eqn_1 0.000018 s: slim_check.slim_check_cfg.trace_shrink._default 0.000022 s: slim_check.slim_check_cfg.trace_shrink._default.equations._eqn_1 0.000992 s: has_measurable_div_of_mul_inv 0.000834 s: has_measurable_div_of_mul_inv.equations._eqn_1 0.011602 s: nat.primrec.mul 0.010998 s: nat.primrec.pow 0.000189 s: game.has_one.equations._eqn_1 0.000187 s: with_bot.add_monoid.equations._eqn_1 0.006659 s: Module.direct_limit_diagram.equations._eqn_1 0.014603 s: category_theory.limits.has_limit_of_has_products_of_has_equalizers.build_limit.equations._eqn_1 0.000368 s: filter.germ.ordered_cancel_comm_monoid._proof_4 0.000561 s: category_theory.under.mk.equations._eqn_1 0.000229 s: affine.simplex.point_weights_with_circumcenter._sunfold 0.000202 s: string.quote_aux._main.equations._eqn_1 0.000252 s: uniform_space.completion.comm_ring._proof_1 0.000341 s: uniform_space.completion.comm_ring._proof_3 0.001922 s: uniform_space.completion.comm_ring._proof_4 0.000722 s: uniform_space.completion.comm_ring._proof_6 0.000737 s: uniform_space.completion.comm_ring._proof_7 0.000286 s: uniform_space.completion.comm_ring._proof_8 0.000339 s: uniform_space.completion.comm_ring._proof_12 0.000330 s: uniform_space.completion.comm_ring._proof_14 0.003997 s: uniform_space.completion.comm_ring._proof_16 0.003441 s: uniform_space.completion.comm_ring 0.004010 s: uniform_space.completion.comm_ring.equations._eqn_1 0.000971 s: mvpfunctor.Wp_mk 0.000704 s: mvpfunctor.Wp_mk.equations._eqn_1 0.002272 s: topological_space.compacts.equiv_to_fun_val 0.001210 s: measure_theory.measure.pi_Ioi_ae_eq_pi_Ici 0.000105 s: int.div.equations._eqn_2 0.001661 s: metric.uniform_continuous_inf_dist_Hausdorff_dist 0.000448 s: filter.realizer.rec_on 0.005667 s: field.direct_limit.inv_mul_cancel 0.003582 s: division_ring_of_is_unit_or_eq_zero._proof_7 0.001546 s: units.chart_at_apply 0.000526 s: path.has_uncurry_path 0.004685 s: equiv.perm.extend_domain_apply_subtype 0.004985 s: equiv.perm.via_embedding_apply_mem_range 0.001139 s: is_invariant_subring.dcases_on 0.000145 s: omega.term.to_string 0.000069 s: omega.term.to_string.equations._eqn_1 0.000672 s: order_dual.le_to_dual 0.000788 s: alist.lookup_insert_ne 0.000760 s: pequiv.of_set_symm 0.002393 s: category_theory.functor.mk.inj_arrow 0.014193 s: category_theory.Type_to_Cat.faithful 0.002332 s: order.embedding_from_countable_to_dense._proof_1 0.253302 s: polynomial.div_tendsto_at_top_of_degree_gt' 0.088981 s: polynomial.div_tendsto_at_top_of_degree_gt 0.001989 s: add_subgroup.top_normal 0.015091 s: complex.log_neg_one 0.019581 s: perfect_closure.has_add.equations._eqn_1 0.000393 s: order.pfilter.partial_order.equations._eqn_1 0.000483 s: bifunctor.fst_comp_fst 0.029375 s: hahn_series.summable_family.coe_neg 0.013233 s: mul_lt_mul_right_of_neg 0.000916 s: multiset.to_list_zero 0.000096 s: compare_reals.Bourbakiℝ.inhabited 0.000082 s: omega.ee.neg.sizeof_spec 0.006209 s: category_theory.monad.forget_creates_colimits.cocone_point.equations._eqn_1 0.004132 s: set.Iio_union_Ico' 0.002744 s: set.Iio_union_Ico 0.001538 s: set.finite.to_finset_mono 0.002009 s: smooth_map_comm_group._proof_2 0.001374 s: smooth_map_comm_group._proof_3 0.001468 s: smooth_map_comm_group._proof_5 0.001756 s: smooth_map_comm_group._proof_6 0.002768 s: smooth_map_comm_group._proof_7 0.008602 s: smooth_map_comm_group._proof_8 0.019382 s: smooth_map_comm_group 0.008672 s: monoid_hom.mk'.equations._eqn_1 0.004229 s: distrib_mul_action_hom.ext 0.000905 s: distrib_mul_action_hom.ext_iff 0.000377 s: filter.eventually_le.is_local_max 0.005100 s: conditionally_complete_linear_order_bot.sizeof 0.000077 s: conditionally_complete_linear_order_bot.has_sizeof_inst 0.000401 s: category_theory.limits.preserves_limits_of_nat_iso 0.000255 s: circle_deg1_lift.coe_mk 0.000123 s: seq.bisim_o.equations._eqn_2 0.000098 s: open_subgroup.semilattice_sup_top._proof_1 0.000060 s: pgame.has_neg.equations._eqn_1 0.001085 s: intermediate_field.zero_mem'._default.equations._eqn_1 0.000788 s: local_homeomorph.image_mem_nhds 0.000731 s: localization_map.ext_iff 0.000806 s: continuous_map.lattice._proof_6 0.013638 s: monoid_algebra.lift.equations._eqn_1 0.000487 s: ordnode.drop_aux._match_1.equations._eqn_3 0.001862 s: category_theory.monadic_creates_limits.equations._eqn_1 0.001679 s: equiv.perm.sign_surjective 0.002163 s: category_theory.monoidal_category.tensor_is_iso.equations._eqn_1 0.000598 s: galois_insertion.rec_on 0.000064 s: turing.partrec_to_TM2.Γ'.sizeof 0.000048 s: turing.partrec_to_TM2.Γ'.Cons.sizeof_spec 0.000211 s: rel_hom.rec_on 0.000083 s: equiv.prod_empty._match_1 0.000151 s: equiv.prod_empty._match_1.equations._eqn_1 0.001373 s: nondiscrete_normed_field.mk.sizeof_spec 0.000449 s: arity.const._main.equations._eqn_1 0.000143 s: arity.const.equations._eqn_1 0.000343 s: lazy_list.map._main.equations._eqn_1 0.000083 s: lazy_list.map.equations._eqn_1 0.000699 s: omega_complete_partial_order.continuous_hom.seq 0.000487 s: omega_complete_partial_order.continuous_hom.seq_to_fun 0.000197 s: nzsnum.bit.inj_eq 0.000333 s: option.lift_or_get_none_left 0.000044 s: format.color.cyan.sizeof_spec 0.000455 s: turing.evals_to.trans.equations._eqn_1 0.000094 s: nat.can_lift_pnat._proof_1 0.008659 s: add_magma.free_add_semigroup.add_semigroup.equations._eqn_1 0.001068 s: fact.bit0.pos 0.000257 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_17 0.003501 s: category_theory.limits.coprod.map_iso._proof_1 0.001925 s: category_theory.limits.coprod.map_iso._proof_2 0.000920 s: category_theory.limits.coprod.map_iso 0.000669 s: metric.diam_le_of_forall_dist_le_of_nonempty 0.000600 s: rbnode.balance2._main.equations._eqn_9 0.000177 s: rbnode.balance2.equations._eqn_9 0.003864 s: filter.add_monoid.equations._eqn_1 0.000652 s: has_measurable_smul.dcases_on 0.006802 s: multiset.cons_union_distrib 0.008326 s: finsupp.filter_curry 0.000685 s: list.lookmap_id' 0.005186 s: list.kreplace_self 0.002035 s: category_theory.limits.braid_natural_assoc 0.000864 s: local_homeomorph.refl_target 0.000121 s: zmod.inhabited 0.000169 s: zmod.inhabited.equations._eqn_1 0.000613 s: conj_classes.carrier_eq_preimage_mk 0.003444 s: Top.presheaf_to_Type_map 0.002051 s: midpoint_sub_left 0.000067 s: environment.implicit_infer_kind.sizeof 0.004581 s: AddCommGroup.colimits.desc_fun_lift._sunfold 0.001073 s: filter.frequently_imp_distrib 0.000450 s: filter.frequently_imp_distrib_right 0.000703 s: subgroup.is_subgroup 0.005543 s: exists_nsmul_eq_zero 0.000380 s: filter.tendsto_Ico_Ioi_Ioi 0.000476 s: is_max_filter.tendsto_principal_Iic 0.007286 s: alg_equiv.to_linear_equiv_to_linear_map 0.000607 s: omega.int.preform.repr._main.equations._eqn_1 0.000160 s: omega.int.preform.repr.equations._eqn_1 0.001676 s: equiv.perm.symm_mul 0.005138 s: semidirect_product.right_hom_comp_inr 0.000311 s: lt_inv' 0.000049 s: znum.has_mul.equations._eqn_1 0.001520 s: monoid_with_zero.sizeof 0.000079 s: monoid_with_zero.has_sizeof_inst 0.001294 s: filter.mem_rcomap' 0.000424 s: poly.sumsq._main.equations._eqn_1 0.000097 s: poly.sumsq.equations._eqn_1 0.001212 s: category_theory.limits.limit_bicone.mk.sizeof_spec 0.000186 s: has_measurable_sub.cases_on 0.001574 s: topological_space.opens.union_eq 0.000068 s: algebraic_geometry.SheafedSpace.restrict._proof_1 0.000042 s: algebraic_geometry.SheafedSpace.restrict._proof_2 0.000040 s: algebraic_geometry.SheafedSpace.restrict._proof_4 0.000153 s: algebraic_geometry.SheafedSpace.restrict._proof_8 0.000072 s: algebraic_geometry.SheafedSpace.restrict._proof_9 0.000079 s: algebraic_geometry.SheafedSpace.restrict._proof_10 0.000060 s: algebraic_geometry.SheafedSpace.restrict._proof_12 0.000056 s: algebraic_geometry.SheafedSpace.restrict._proof_13 0.000052 s: algebraic_geometry.SheafedSpace.restrict._proof_14 0.000060 s: algebraic_geometry.SheafedSpace.restrict._proof_15 0.000051 s: algebraic_geometry.SheafedSpace.restrict._proof_17 0.000077 s: algebraic_geometry.SheafedSpace.restrict._proof_18 0.000101 s: algebraic_geometry.SheafedSpace.restrict._proof_19 0.000072 s: algebraic_geometry.SheafedSpace.restrict._proof_20 0.000039 s: algebraic_geometry.SheafedSpace.restrict._proof_21 0.003222 s: algebraic_geometry.SheafedSpace.restrict._proof_23 0.000092 s: algebraic_geometry.SheafedSpace.restrict._proof_24 0.000080 s: algebraic_geometry.SheafedSpace.restrict._proof_25 0.000111 s: algebraic_geometry.SheafedSpace.restrict._proof_26 0.000078 s: algebraic_geometry.SheafedSpace.restrict._proof_28 0.000078 s: algebraic_geometry.SheafedSpace.restrict._proof_29 0.002676 s: algebraic_geometry.SheafedSpace.restrict._proof_30 0.000101 s: algebraic_geometry.SheafedSpace.restrict._proof_31 0.000041 s: algebraic_geometry.SheafedSpace.restrict._proof_32 0.014735 s: algebraic_geometry.SheafedSpace.restrict 0.018127 s: algebraic_geometry.SheafedSpace.restrict.equations._eqn_1 0.000451 s: nat.one_le_pow' 0.000596 s: countable_Inter_filter.drec 0.054717 s: has_strict_fderiv_at.implicit_function_data_of_complemented.equations._eqn_1 0.125148 s: has_strict_fderiv_at.to_implicit_function_of_complemented 0.000090 s: slim_check.unused_var_testable._proof_1 0.000015 s: slim_check.unused_var_testable._proof_2 0.000304 s: slim_check.unused_var_testable 0.000319 s: slim_check.unused_var_testable.equations._eqn_1 0.014097 s: polynomial.mirror_C 0.018231 s: category_theory.Type_to_Cat.full._proof_1 0.001161 s: category_theory.Type_to_Cat.full 0.000835 s: category_theory.Type_to_Cat.full.equations._eqn_1 0.000104 s: is_right_cancel.cases_on 0.000557 s: list.decidable_bex._main._proof_1 0.000629 s: list.decidable_bex._main.equations._eqn_1 0.000211 s: list.decidable_bex.equations._eqn_1 0.001198 s: set.Ici.semilattice_sup.equations._eqn_1 0.000213 s: set.mul_antidiagonal.equations._eqn_1 0.001757 s: normed_group_hom.op_norm_le_of_lipschitz 0.000095 s: except.to_option._sunfold 0.000093 s: list.lt.equations._eqn_1 0.000180 s: mul_equiv.to_additive._proof_1 0.000217 s: mul_equiv.to_additive._proof_3 0.000260 s: mul_equiv.to_additive._proof_6 0.015539 s: mul_equiv.to_additive._proof_7 0.009990 s: mul_equiv.to_additive 0.008260 s: mul_equiv.to_additive.equations._eqn_1 0.000524 s: computability.unary_encode_nat._main.equations._eqn_2 0.000055 s: computability.unary_encode_nat.equations._eqn_2 0.001373 s: category_theory.limits.biprod.mono_lift_of_mono_right.equations._eqn_1 0.008964 s: le_inv_mul_iff_mul_le 0.000153 s: function.has_uncurry.uncurry 0.002562 s: equiv.subtype_prod_equiv_prod._match_2.equations._eqn_1 0.000387 s: has_measurable_mul.drec 0.114533 s: padic.valuation.equations._eqn_1 0.016948 s: quaternion_algebra.mk.inj_eq 0.000106 s: num.cmp._main.equations._eqn_1 0.000610 s: where.select_for_which._match_2.equations._eqn_1 0.000358 s: isometric.group._proof_8 0.000118 s: function.involutive.equations._eqn_1 0.086049 s: differentiable_on.sin 0.000258 s: filter.rtendsto.equations._eqn_1 0.013256 s: homeomorph.homeomorph_mk_coe 0.000185 s: vector3.head.equations._eqn_1 0.006708 s: nat.le_rec_on_injective 0.000246 s: congr_arg_kind.to_string._main.equations._eqn_5 0.000055 s: congr_arg_kind.to_string.equations._eqn_5 0.077826 s: cyclotomic_eq_minpoly 0.148653 s: cyclotomic.irreducible 0.000505 s: turing.partrec_to_TM2.tr_cont._main.equations._eqn_5 0.000056 s: turing.partrec_to_TM2.tr_cont.equations._eqn_5 0.019852 s: prod.left_cancel_monoid.equations._eqn_1 0.002631 s: category_theory.monoidal.Mon_functor_category_equivalence_inverse 0.003057 s: polynomial.has_deriv_within_at 0.012497 s: bilin_form.lin_mul_lin_comp_left 0.012684 s: AddMon.has_limits.limit_cone_is_limit.equations._eqn_1 0.004154 s: sub_neg_monoid.sizeof 0.001044 s: pSet.definable.resp._sunfold 0.003552 s: submodule.closed_complemented.has_closed_complement 0.157827 s: subspace.closed_complemented_of_closed_compl 0.086046 s: subspace.closed_complemented_iff_has_closed_compl 0.000309 s: slim_check.total_function.has_repr.equations._eqn_1 0.018666 s: nndist_nnnorm_nnnorm_le 0.000673 s: pgame.list_short_nth_le.equations._eqn_1 0.000983 s: category_theory.limits.types.equalizer_limit._proof_1 0.001826 s: category_theory.limits.types.equalizer_limit._proof_2 0.003433 s: category_theory.limits.types.equalizer_limit 0.003425 s: category_theory.limits.types.equalizer_limit.equations._eqn_1 0.000842 s: generalized_continued_fraction.zero_le_of_denom 0.198434 s: generalized_continued_fraction.le_of_succ_succ_nth_continuants_aux_b 0.016650 s: generalized_continued_fraction.le_of_succ_nth_denom 0.074786 s: generalized_continued_fraction.of_denom_mono 0.001841 s: order.ideal.order_bot.equations._eqn_1 0.025158 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso.equations._eqn_1 0.038321 s: submonoid.mem_supr_of_mem 0.016165 s: linear_map.ltensor_hom.equations._eqn_1 0.000673 s: alg_hom.congr_arg 0.000193 s: compact_space.dcases_on 0.000216 s: seq_compact_space.dcases_on 0.000576 s: uniform_space.compact_space_iff_seq_compact_space 0.000124 s: snum.has_coe.equations._eqn_1 0.008858 s: continuous_multilinear_map.prod.equations._eqn_1 0.003195 s: canonically_linear_ordered_monoid.npow_zero' 0.002546 s: canonically_linear_ordered_monoid.mul_comm 0.007648 s: canonically_linear_ordered_monoid.mul_le_mul_left 0.007258 s: canonically_linear_ordered_monoid.lt_of_mul_lt_mul_left 0.003893 s: canonically_linear_ordered_monoid.bot 0.004405 s: canonically_linear_ordered_monoid.bot_le 0.019830 s: canonically_linear_ordered_monoid.le_iff_exists_mul 0.001844 s: canonically_linear_ordered_monoid.to_canonically_ordered_monoid 0.005484 s: le_mul_left 0.004903 s: min_mul_distrib 0.000558 s: category_theory.monad.simps.η.equations._eqn_1 0.011213 s: category_theory.monad.monadicity_internal.unit_cofork.equations._eqn_1 0.005416 s: category_theory.limits.cocone_morphism.w' 0.000044 s: true.drec_on 0.000229 s: primcodable.rec_on 0.000733 s: function.surjective.mul_zero_class.equations._eqn_1 0.001723 s: partial_order.mk.sizeof_spec 0.000535 s: list.sum_take_map_length_split_wrt_composition 0.002582 s: set.densely_ordered.equations._eqn_1 0.000058 s: infinite.cases_on 0.001522 s: subfield.coe_supr_of_directed 0.005198 s: algebraic_geometry.structure_sheaf.is_fraction.equations._eqn_1 0.006544 s: perfection.perfect_ring._proof_1 0.000080 s: omega.int.preform.equiv.equations._eqn_1 0.000288 s: lt_mul_of_lt_mul_left 0.018526 s: ideal.radical._match_1.equations._eqn_1 0.000098 s: nat.digits.injective 0.000275 s: lucas_lehmer.X.decidable_eq 0.000264 s: add_cancel_monoid.nsmul._default 0.000554 s: add_cancel_monoid.nsmul._default.equations._eqn_1 0.001029 s: category_theory.comonad.cofree_obj_A 0.000395 s: measure_theory.measure.haar_outer_measure.equations._eqn_1 0.000313 s: order.ideal_inter_nonempty.drec 0.000887 s: initial_seg.trans.equations._eqn_1 0.016242 s: mv_polynomial.total_degree_rename_le 0.003870 s: category_theory.limits.is_iso_zero_equiv.equations._eqn_1 0.000315 s: stream.append_stream._main.equations._eqn_1 0.000240 s: bex.imp_left 0.000737 s: is_subgroup.mul_mem_cancel_right 0.000065 s: turing.to_partrec.cont.halt.inj_eq 0.005506 s: finmap.lookup_erase_ne 0.002171 s: finmap.erase_union_singleton 0.003474 s: tensor_product.lid_symm_apply 0.031126 s: padic.coe_one 0.003261 s: subring.to_ordered_comm_ring._proof_3 0.000563 s: subring.to_ordered_comm_ring._proof_5 0.000567 s: subring.to_ordered_comm_ring._proof_7 0.033746 s: subring.to_ordered_comm_ring 0.005666 s: subalgebra.to_ordered_comm_ring 0.000049 s: free_magma.repr 0.001702 s: free_magma.has_repr 0.000112 s: free_magma.has_repr.equations._eqn_1 0.007173 s: add_monoid_algebra.lift_symm_apply 0.000054 s: tactic.rewrite_search.dir_pair.set 0.000214 s: tactic.rewrite_search.dir_pair.set._main.equations._eqn_1 0.000086 s: tactic.rewrite_search.dir_pair.set.equations._eqn_1 0.001609 s: continuous_multilinear_map.to_continuous_linear_map._proof_1 0.000347 s: category_theory.closed.sizeof 0.000085 s: category_theory.closed.has_sizeof_inst 0.000199 s: prod.has_zero.equations._eqn_1 0.019513 s: exists_one_lt' 0.013241 s: linear_ordered_comm_group.to_no_top_order 0.011423 s: linear_ordered_comm_group.to_no_top_order.equations._eqn_1 0.000424 s: lt_add_of_pos_of_lt 0.000296 s: is_submonoid.rec_on 0.000770 s: finset.pi.equations._eqn_1 0.001718 s: add_submonoid.comap.equations._eqn_1 0.015200 s: fin_succ_equiv_symm'_some_below 0.001774 s: fin_succ_equiv_symm'_coe_below 0.001451 s: measurable_set_swap_iff 0.001456 s: measurable_measure_prod_mk_right 0.003140 s: measure_theory.measurable_measure_mul_right 0.000185 s: char_zero.cases_on 0.000093 s: nat.mul_left_injective 0.000077 s: list.drop_while 0.000204 s: list.drop_while._sunfold 0.245973 s: is_dedekind_domain_inv.mul_inv_cancel 0.028781 s: real.sin_pi_div_four 0.002596 s: add_group_is_add_torsor.equations._eqn_1 0.000197 s: measure_theory.is_add_right_invariant.equations._eqn_1 0.003499 s: topological_space.subset_trans 0.122941 s: fraction_map.num_mul_denom_eq_num_iff_eq' 0.154728 s: fraction_map.eq_zero_of_num_eq_zero 0.017309 s: Algebra.of_self_iso_inv 0.000605 s: category_theory.limits.has_binary_products_of_has_limit_pair 0.000314 s: lint_verbosity.no_confusion 0.000538 s: lint_verbosity.decidable_eq 0.001309 s: category_theory.limits.types.binary_product_limit_cone_cone 0.001680 s: filter.tendsto_iff_eventually 0.002230 s: congr_arg_kind.to_string._sunfold 0.001110 s: free_magma.traverse_pure 0.000056 s: ematch_config.max_instances 0.008916 s: parser.prog.mmap'.equations._eqn_1 0.000132 s: list.func.equiv_refl 0.000129 s: list.func.equiv_of_eq 0.002881 s: equiv.set.sum_diff_subset_symm_apply_of_not_mem 0.000829 s: subtype.heq_iff_coe_eq 0.025345 s: convex_Iio 0.112558 s: convex_halfspace_lt 0.110239 s: convex_halfspace_im_lt 0.000476 s: set.Icc.bounded_lattice._proof_1 0.000454 s: set.Icc.bounded_lattice._proof_2 0.000796 s: set.Icc.bounded_lattice._proof_4 0.022151 s: set.Icc.bounded_lattice._proof_5 0.003132 s: set.Icc.bounded_lattice._proof_6 0.005147 s: set.Icc.bounded_lattice._proof_7 0.001215 s: set.Icc.bounded_lattice._proof_8 0.000757 s: set.Icc.bounded_lattice._proof_10 0.002341 s: set.Icc.bounded_lattice._proof_11 0.000620 s: set.Icc.bounded_lattice._proof_12 0.016140 s: set.Icc.bounded_lattice 0.002156 s: add_magma.free_add_semigroup.lift_unique 0.001713 s: TopCommRing.forget_to_Top_comm_ring.equations._eqn_1 0.003265 s: has_strict_fderiv_at.local_inverse_continuous_at 0.002699 s: Top.presheaf.sheaf_condition_equalizer_products.fork_X 0.000810 s: subring.mem_carrier 0.001437 s: finset.prod_finset_coe 0.002304 s: finset.prod_subtype 0.002359 s: finset.prod_to_finset_eq_subtype 0.000914 s: category_theory.sum.associator_is_equivalence 0.000626 s: category_theory.sum.associator_is_equivalence.equations._eqn_1 0.203159 s: subfield.inclusion 0.133798 s: subfield.inclusion.equations._eqn_1 0.014370 s: quotient_group.lift.equations._eqn_1 0.002045 s: is_simple_add_group.drec 0.000526 s: tactic.ring2.horner_expr.cseval._sunfold 0.157432 s: primorial_succ 0.000337 s: real.rpow_eq_pow 0.000022 s: turing.partrec_to_TM2.Γ'.bit0.inj 0.000022 s: turing.partrec_to_TM2.Γ'.bit0.inj_arrow 0.000038 s: ordering.swap._sunfold 0.000259 s: asymptotics.is_O.congr_right 0.000628 s: option.bind_some 0.001350 s: nat.psub._main.equations._eqn_2 0.000112 s: nat.psub.equations._eqn_2 0.023474 s: nat.psub_add 0.002723 s: semilattice_inf_bot.sizeof 0.000818 s: category_theory.inhabited_lifts_to_colimit 0.002028 s: category_theory.inhabited_lifts_to_colimit.equations._eqn_1 0.009035 s: category_theory.limits.cones.functoriality_full.equations._eqn_1 0.000067 s: category_theory.inhabited_graded_object 0.000111 s: category_theory.inhabited_graded_object.equations._eqn_1 0.031417 s: AddCommGroup.kernel_iso_ker_over_inv_right_down_down 0.000221 s: dite.decidable._match_1 0.000336 s: dite.decidable._match_1.equations._eqn_2 0.000274 s: omega.int.preform.eq.inj 0.000611 s: category_theory.monad.forget_creates_colimits 0.004660 s: category_theory.functor.left_op_faithful.equations._eqn_1 0.003195 s: submodule.linear_proj_of_is_compl_range 0.000026 s: environment.implicit_infer_kind.implicit.inj 0.000064 s: linarith.comp.vars 0.000071 s: linarith.comp.vars.equations._eqn_1 0.001234 s: Top.presheaf_to_Type_obj 0.011609 s: subalgebra.fg_of_submodule_fg 0.033177 s: module.finite.finite_type 0.029241 s: ring_hom.finite.finite_type 0.000488 s: intermediate_field.inhabited.equations._eqn_1 0.010097 s: category_theory.arrow.square_from_iso_invert 0.002557 s: bdd_below_union 0.000353 s: ae_measurable.mk.equations._eqn_1 0.000084 s: option.to_list.equations._eqn_1 0.000186 s: option.to_list._main.equations._eqn_2 0.000129 s: option.to_list.equations._eqn_2 0.001309 s: option.mem_to_list 0.000163 s: is_invariant.equations._eqn_1 0.000459 s: is_invariant_iff_image 0.001867 s: list.filter_map_append 0.000198 s: list.reduce_option_append 0.001374 s: list.reduce_option_cons_of_some 0.000538 s: list.reduce_option_nil 0.001450 s: list.reduce_option_concat_of_some 0.000627 s: is_primitive_root.drec 0.000147 s: nat.can_lift_pnat 0.000093 s: nat.can_lift_pnat.equations._eqn_1 0.022982 s: linear_map.ker_smul' 0.000100 s: subsingleton_of_not_nonempty 0.000317 s: Top.topological_space_unbundled 0.000306 s: slim_check.combine._main.equations._eqn_2 0.000104 s: slim_check.combine.equations._eqn_2 0.000142 s: nat.totient_le 0.013212 s: conditionally_complete_lattice_of_complete_lattice.equations._eqn_1 0.000223 s: witt_vector.map_fun.equations._eqn_1 0.131812 s: image_norm_le_of_norm_deriv_right_lt_deriv_boundary 0.024948 s: category_theory.Mat_.add_apply 0.004153 s: smooth_map.coe_mul 0.001418 s: list.decidable_sublist._main 0.000628 s: list.decidable_sublist._main.equations._eqn_2 0.001010 s: set_like.mk.sizeof_spec 0.000414 s: list.filter_map_some 0.000807 s: multiset.filter_map_some 0.000041 s: fp.float.sign' 0.000531 s: category_theory.limits.preserves_colimits_of_nat_iso 0.000472 s: category_theory.limits.preserves_colimits_of_nat_iso.equations._eqn_1 0.001354 s: equiv.forall₂_congr 0.001477 s: equiv.set.powerset._proof_1 0.001640 s: category_theory.functor.map_iso_symm 0.000927 s: category_theory.comonad.coalgebra.hom.no_confusion_type 0.000931 s: category_theory.comonad.coalgebra.hom.no_confusion 0.001288 s: category_theory.comonad.coalgebra.hom.mk.inj 0.019269 s: category_theory.limits.preserves_colimit_of_reflects_of_preserves.equations._eqn_1 0.000297 s: set.Ici.semilattice_sup_top._proof_1 0.000494 s: nat.decidable_le._match_1.equations._eqn_2 0.005508 s: smooth_within_at.smooth_at 0.000063 s: bitvec.sub 0.000031 s: bitvec.has_sub 0.057483 s: direct_sum.gcomm_monoid.of_add_subgroups_to_gmonoid 0.002663 s: finset.lcm_singleton 0.007817 s: valuation.coe_coe 0.006772 s: vector.induction_on.equations._eqn_1 0.000150 s: Lim'.equations._eqn_1 0.000158 s: add_commute.neg_left_iff 0.000573 s: slim_check.or_testable._match_1.equations._eqn_4 0.017403 s: prod.bounded_lattice.equations._eqn_1 0.000474 s: game.add_comm_semigroup.equations._eqn_1 0.000455 s: has_measurable_sub₂.drec_on 0.097438 s: smooth_bump_covering.locally_finite' 0.108680 s: smooth_bump_covering.locally_finite 0.095727 s: smooth_bump_covering.point_finite 0.000413 s: category_theory.from_skeleton.equations._eqn_1 0.000188 s: encodable.encode'.equations._eqn_1 0.032801 s: category_theory.limits.cocones.precompose_comp._proof_1 0.000268 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.rec_on 0.000394 s: order_closed_topology.drec_on 0.000373 s: rack.op_inv_act_op_eq 0.002112 s: rack.self_inv_act_act_eq 0.001661 s: rack.self_apply_equiv._proof_2 0.000238 s: rack.self_apply_equiv 0.000372 s: rack.self_apply_equiv.equations._eqn_1 0.003834 s: linear_independent_bUnion_of_directed 0.000525 s: hyperreal.is_st_trans_real 0.000915 s: tree.index_of._match_1.equations._eqn_3 0.000063 s: mk_num_name.equations._eqn_1 0.006798 s: dihedral_group.card 0.000036 s: free_magma.length 0.000108 s: free_magma.length._sunfold 0.000101 s: smt_pre_config.simp_attr._default 0.000074 s: smt_pre_config.simp_attr._default.equations._eqn_1 0.000293 s: is_compact.inter_left 0.002664 s: equiv.perm.fst_prod_extend_right 0.002657 s: category_theory.comonad.coalgebra.sizeof 0.003977 s: category_theory.comonad.coalgebra.mk.sizeof_spec 0.000146 s: quotient.out.equations._eqn_1 0.000044 s: zmod._sunfold 0.000316 s: list.insert_nth_nil 0.000978 s: pow_sub 0.005716 s: nsmul_sub 0.002934 s: emetric.continuous_inf_edist 0.000228 s: measurable_inf_edist 0.000454 s: int.decidable_lt.equations._eqn_1 0.001628 s: times_cont_mdiff_within_at_const 0.001140 s: smooth_within_at_const 0.000141 s: array.has_repr 0.000395 s: array.has_repr.equations._eqn_1 0.004857 s: colex.singleton_lt_iff_lt 0.000248 s: norm_one_class.drec 0.000087 s: slim_check.printable_prop.rec_on 0.067735 s: complex.norm_sq_div 0.000488 s: canonically_ordered_monoid.to_order_bot 0.000180 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_2 0.000288 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_4 0.000450 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_5 0.000340 s: canonically_linear_ordered_monoid.semilattice_sup_bot._proof_7 0.014479 s: canonically_linear_ordered_monoid.semilattice_sup_bot 0.000237 s: poly.sumsq._sunfold 0.000400 s: expr.coord.repr._main.equations._eqn_3 0.000063 s: expr.coord.repr.equations._eqn_3 0.000549 s: perfect_closure.lift._proof_2 0.000286 s: is_alg_closure.rec_on 0.004631 s: mul_hom.comp_assoc 0.005078 s: category_theory.limits.fork.is_limit.mk.equations._eqn_1 0.002154 s: mul_left_bound 0.000091 s: ordnode.ibelow 0.000615 s: turing.partrec_to_TM2.tr_normal._main.equations._eqn_4 0.000221 s: tactic.itauto.proof.or_imp_right.sizeof_spec 0.000241 s: is_totally_disconnected.equations._eqn_1 0.000600 s: preorder_hom.prod.fst._match_2.equations._eqn_1 0.000927 s: subgroup.coe_bot 0.000549 s: free_algebra.algebra_map_inv 0.141479 s: rat.nondiscrete_normed_field._proof_1 0.000397 s: add_con.ext_iff 0.020181 s: add_con.congr._proof_3 0.000090 s: turing.id_computable 0.000116 s: turing.inhabited_tm2_computable 0.000689 s: semiquot.map.equations._eqn_1 0.008024 s: lie_module_equiv.coe_mk 0.000475 s: free_algebra.pre.add.sizeof_spec 0.000133 s: Semigroup.inhabited.equations._eqn_1 0.000645 s: real.inj_on_arcsin 0.001146 s: pos_tangent_cone_at.equations._eqn_1 0.000454 s: is_local_max_on.congr 0.000734 s: le_mul_of_one_le_right' 0.000263 s: le_of_mul_le_of_one_le_left 0.000263 s: Algebra.of.equations._eqn_1 0.000608 s: equiv.div_def 0.000069 s: has_sizeof.rec_on 0.000174 s: division_ring.nsmul._default 0.000258 s: division_ring.nsmul._default.equations._eqn_1 0.002667 s: category_theory.yoneda'_map 0.000199 s: language.star_def 0.002588 s: filter.realizer.bind._match_1.equations._eqn_1 0.000443 s: parser.step.and_then.equations._eqn_1 0.000397 s: turing.partrec_to_TM2.tr_cfg._sunfold 0.001686 s: filter.comap._match_3.equations._eqn_1 0.003460 s: algebraic_closure.to_step_of_le.equations._eqn_1 0.005685 s: units.to_Aut_hom 0.000543 s: mvqpf.pi.abs 0.000246 s: mvqpf.pi.repr 0.004053 s: mvqpf.pi.repr._main.equations._eqn_1 0.002214 s: mvqpf.pi.repr.equations._eqn_1 0.001478 s: mvqpf.pi.abs._main.equations._eqn_1 0.001056 s: mvqpf.pi.abs.equations._eqn_1 0.006483 s: mvqpf.pi.mvqpf._proof_1 0.006908 s: mvqpf.pi.mvqpf._proof_2 0.000728 s: mvqpf.pi.mvqpf 0.000368 s: list.is_prefix_of._main.equations._eqn_1 0.000109 s: con.quotient.equations._eqn_1 0.000868 s: measurable_dist 0.000943 s: multiset.filter_map_zero 0.000691 s: comp_le_comp_left_of_monotone 0.168544 s: measure_theory.L1.norm_eq_integral_norm 0.000254 s: nat.has_variable_names 0.022750 s: equiv.bool_to_equiv_prod_symm_apply_ff 0.000226 s: writer_t.monad_writer_adapter 0.000294 s: writer_t.monad_writer_adapter.equations._eqn_1 0.008457 s: coe_not_mem_range_equiv_symm 0.000219 s: isometric.no_confusion_type 0.000404 s: isometric.no_confusion 0.000257 s: isometric.mk.inj 0.000280 s: isometric.mk.inj_arrow 0.000692 s: add_action.cases_on 0.000263 s: add_action.no_confusion_type 0.005459 s: monoid_hom.finset_prod_apply 0.003708 s: set.indicator_sub 0.004737 s: equiv.mul_left_symm 0.000113 s: tactic_doc_entry.no_confusion_type 0.000277 s: tactic_doc_entry.no_confusion 0.001355 s: wseq.zip_with._match_1.equations._eqn_7 0.000196 s: nat.decidable_eq._match_1._proof_2 0.000233 s: nat.decidable_eq._match_1.equations._eqn_2 0.000818 s: category_theory.Mat_.mk.inj_arrow 0.001575 s: list.nth_eq_none_iff 0.131359 s: interval_integral.norm_integral_le_abs_integral_norm 0.032015 s: rel.image.fintype._proof_1 0.000962 s: rel.image.fintype 0.002262 s: dfinsupp.add_comm_monoid_of_linear_map.equations._eqn_1 0.000036 s: turing.partrec_to_TM2.Λ'.inhabited 0.000034 s: turing.partrec_to_TM2.Λ'.inhabited.equations._eqn_1 0.001942 s: pgame.fintype_left.equations._eqn_1 0.002843 s: smooth_on.add 0.012472 s: CommGroup.forget_reflects_isos 0.001787 s: hahn_series.summable_family.coe_add 0.004142 s: hahn_series.summable_family.co_support_add_subset 0.004873 s: hahn_series.summable_family.hsum_add 0.002518 s: finset.subtype_insert_equiv_option.equations._eqn_1 0.000192 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_2 0.000180 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_3 0.000391 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_5 0.000736 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_6 0.000170 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_9 0.000175 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_10 0.000094 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_11 0.000232 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_12 0.000356 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_13 0.000116 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_14 0.000113 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_15 0.000265 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_18 0.001213 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_20 0.001904 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_21 0.002723 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_22 0.000347 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_23 0.000079 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_24 0.003364 s: linear_nonneg_ring.to_linear_ordered_comm_ring._proof_25 0.008251 s: linear_nonneg_ring.to_linear_ordered_comm_ring 0.009750 s: linear_nonneg_ring.to_linear_ordered_comm_ring.equations._eqn_1 0.000419 s: turing.TM0to1.tr_cfg._main 0.001473 s: turing.TM0to1.tr_cfg._main.equations._eqn_1 0.000222 s: order_dual.semilattice_inf_bot._proof_1 0.000150 s: order_dual.semilattice_inf_bot._proof_2 0.000394 s: order_dual.semilattice_inf_bot._proof_3 0.000412 s: order_dual.semilattice_inf_bot._proof_4 0.000916 s: order_dual.semilattice_inf_bot._proof_5 0.000519 s: order_dual.semilattice_inf_bot._proof_6 0.000560 s: order_dual.semilattice_inf_bot._proof_8 0.004798 s: order_dual.semilattice_inf_bot 0.003236 s: order_dual.semilattice_inf_bot.equations._eqn_1 0.001014 s: add_monoid_hom.comp.equations._eqn_1 0.001035 s: AddCommGroup.limit_cone_is_limit 4.345128 s: Ring.forget₂_AddCommGroup_preserves_limits_aux 4.121506 s: Ring.forget₂_AddCommGroup_preserves_limits_aux.equations._eqn_1 0.005268 s: linear_ordered_comm_monoid.decidable_eq._default.equations._eqn_1 0.000370 s: category_theory.monoidal_functor.inhabited.equations._eqn_1 0.108376 s: measure_theory.simple_func.lintegralₗ.equations._eqn_1 0.000026 s: ereal.neg 0.000029 s: ereal.has_neg 0.000053 s: ereal.has_neg.equations._eqn_1 0.000669 s: polynomial.is_separable_contraction.equations._eqn_1 1.130129 s: real.tendsto_mul_exp_add_div_pow_at_top 0.215764 s: real.tendsto_div_pow_mul_exp_add_at_top 0.020572 s: ideal.span_singleton_mul_right_unit 0.002645 s: ideal.span_singleton_mul_left_unit 0.000114 s: int.even.add_even 0.006820 s: matrix.scalar.commute 0.089530 s: mat_poly_equiv_eval 0.012956 s: ordnode.all_balance_r 0.000681 s: finsupp.bot_eq_zero 0.000960 s: list.tail_repeat 0.000101 s: turing.partrec_to_TM2.cont'.cons₁.inj_arrow 0.000211 s: let_eq 0.000737 s: turing.TM2to1.st_act.peek.sizeof_spec 0.000081 s: rat.ordered_add_comm_monoid.equations._eqn_1 0.000230 s: list.any_of_mem 0.010804 s: nat.find_greatest_eq_zero_iff 0.002767 s: nat.find_greatest_spec 0.002266 s: punit.nonempty_fin_lin_ord._proof_1 0.000742 s: punit.nonempty_fin_lin_ord 0.031726 s: category_theory.over.coprod.equations._eqn_1 0.007904 s: star_algebra.sizeof 0.000067 s: tactic.tactic_script.has_sizeof_inst 0.005923 s: tactic.tactic_script.primitive.sizeof_pack 0.000152 s: option_t.no_confusion_type 0.000398 s: option_t.no_confusion 0.001015 s: equiv.exists_congr_left 0.000553 s: equiv.set.congr_apply 0.003519 s: equiv.preimage_sUnion 0.000232 s: quotient_group.quotient.topological_space 0.004024 s: quotient_group.preimage_image_coe 0.001885 s: quotient_group.is_open_map_coe 0.000821 s: function.surjective.prod_map 0.006908 s: topological_group_quotient 0.006386 s: monoid_algebra.lift_unique' 0.002569 s: monoid_algebra.lift_apply 0.012596 s: monoid_algebra.lift_unique 0.003808 s: category_theory.braided_functor.to_lax_braided_functor._proof_1 0.001117 s: category_theory.braided_functor.to_lax_braided_functor 0.000970 s: ordinal.has_add._match_8.equations._eqn_1 0.183719 s: interval_integral.deriv_within_integral_of_tendsto_ae_left 0.025417 s: AddCommGroup.biproduct_iso_pi.equations._eqn_1 0.000046 s: environment.projection_info.cname 0.000157 s: eq.mp.equations._eqn_1 0.002344 s: function.surjective.add_comm_semigroup.equations._eqn_1 0.006643 s: category_theory.algebra_to_under_obj 0.017150 s: alternating_map.coe_dom_dom_congr 0.005388 s: is_semiring_hom.id 0.245431 s: simplex_category.δ_comp_δ_self 0.033689 s: category_theory.simplicial_object.δ_comp_δ_self 0.000166 s: rack.pre_envel_group_rel'.mul_one.inj_arrow 0.063660 s: matrix.diagonal_to_lin' 0.000381 s: free_group.red.step.cases_on 0.014871 s: ordering.or_else_eq_lt 0.000100 s: tactic.decl_reducibility.to_attribute.equations._eqn_3 0.025685 s: category_theory.subobject.of_mk_le_mk_comp_of_mk_le 0.002908 s: category_theory.subobject.of_mk_le_mk_comp_of_mk_le_assoc 0.000190 s: list.tprod.inhabited 0.000236 s: category_theory.comonad.simps.coe.equations._eqn_1 0.001187 s: partial_order_of_SO._match_2.equations._eqn_3 0.000632 s: pgame.fintype_right_moves_of_aux.equations._eqn_1 0.000253 s: category_theory.additive_category.cases_on 0.000202 s: category_theory.additive_category.no_confusion_type 0.001467 s: Set.powerset._match_3.equations._eqn_1 0.001332 s: generate_pi_system.dcases_on 0.000562 s: Inf_le_iff 0.000248 s: set.eq_on.inj_on_iff 0.002500 s: list.filter_map_filter 0.001296 s: list.map_filter 0.002587 s: multiset.map_filter 0.001339 s: finset.map_filter 0.000547 s: normal_subgroup.drec 0.005200 s: category_theory.grothendieck_topology.intersection_covering_iff 0.001354 s: multiset.sections_zero 0.000821 s: list.mbfind'._main.equations._eqn_1 0.011003 s: is_compact.adherence_nhdset 0.000103 s: pnat.xgcd_type.is_special'.equations._eqn_1 0.000542 s: category_theory.is_coreflexive_pair.common_retraction 0.000242 s: category_theory.common_retraction 0.002364 s: category_theory.left_comp_retraction 0.001409 s: category_theory.left_comp_retraction_assoc 0.000877 s: add_hom.mk.sizeof_spec 0.000272 s: polynomial.has_well_founded.equations._eqn_1 0.000225 s: int.induction_on'._proof_1 0.000139 s: int.induction_on'._proof_2 0.051990 s: int.induction_on'._proof_3 0.000218 s: int.induction_on'._proof_4 0.001433 s: int.induction_on'._proof_6 0.000910 s: int.induction_on'._proof_7 0.000153 s: int.induction_on'._proof_9 0.000131 s: int.induction_on'._proof_10 0.001385 s: int.induction_on'._proof_12 0.010146 s: int.induction_on'._proof_16 0.002434 s: int.induction_on'._proof_18 0.014676 s: int.induction_on'._proof_19 0.052243 s: int.induction_on' 0.063095 s: int.induction_on'.equations._eqn_1 0.008667 s: finsupp.finsupp.decidable_eq.equations._eqn_1 0.026627 s: continuous_linear_map.pi_comp 0.003414 s: ring_hom.eq_of_eq_on_set_dense 0.000531 s: omega_limit_Inter 0.000498 s: wseq.scanl._match_1.equations._eqn_3 0.000049 s: tactic.ring2.horner_expr.has_zero.equations._eqn_1 0.000329 s: category_theory.monadic_creates_colimits_of_preserves_colimits 0.000160 s: function.nontrivial.equations._eqn_1 0.019809 s: nat.digits_zero_of_eq_zero 0.000376 s: equiv.add_monoid._proof_1 0.001167 s: equiv.add_monoid 0.001059 s: equiv.add_monoid.equations._eqn_1 0.003996 s: category_theory.nat_trans.vcomp.equations._eqn_1 0.001435 s: category_theory.monadic_right_adjoint.no_confusion 0.001766 s: category_theory.monadic_right_adjoint.mk.inj 0.001316 s: category_theory.monadic_right_adjoint.mk.inj_arrow 0.001556 s: linear_isometry.map_smul 0.011728 s: ennreal.of_nnreal_hom.equations._eqn_1 0.000089 s: io.fs.put_char 0.000057 s: io.fs.put_char.equations._eqn_1 0.002155 s: category_theory.split_mono.rec_on 0.000194 s: ordinal.has_zero.equations._eqn_1 0.000312 s: partition.odds 0.014604 s: category_theory.adjunction.has_limit_of_comp_equivalence 0.000572 s: category_theory.adjunction.has_limits_of_shape_of_equivalence 0.000284 s: category_theory.adjunction.has_limits_of_equivalence 0.002889 s: turing.TM2.stmt.pop.inj_arrow 0.000866 s: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace.equations._eqn_1 0.003041 s: finsupp.sum_ite_self_eq' 0.234586 s: subspace.coe_continuous_linear_proj_of_closed_compl' 0.000335 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_11 0.025684 s: is_absolute_value.drec 0.000322 s: sum.lex.rec_on 0.000651 s: pgame.relabelling.ibelow 0.008663 s: pgame.relabelling.binduction_on 0.003576 s: finset.lt_fold_max 0.000167 s: linarith.linexp.vars.equations._eqn_1 0.001783 s: lists'.to_list._sunfold 0.000713 s: subgroup.to_ordered_comm_group._proof_3 0.000419 s: subgroup.to_ordered_comm_group._proof_4 0.000330 s: subgroup.to_ordered_comm_group._proof_5 0.014003 s: subgroup.to_ordered_comm_group 0.001803 s: subring.no_confusion 0.001622 s: subring.mk.inj 0.000053 s: category_theory.groupoid.has_sizeof_inst 0.000489 s: category_theory.simplicial_object.category_theory.limits.has_limits_of_shape.equations._eqn_1 0.001307 s: add_valuation.on_quot_val.equations._eqn_1 0.042733 s: category_theory.limits.cocones.functoriality.equations._eqn_1 0.000253 s: small_set 0.000452 s: bounded_continuous_function.of_normed_group_discrete.equations._eqn_1 0.011180 s: category_theory.ev.equations._eqn_1 0.000493 s: order.is_ideal.drec 0.009690 s: inv_fpow' 0.000300 s: omega.nat.preterm.sub_terms._sunfold 0.001004 s: set.proj_Icc_left 0.009461 s: le_of_le_mul_right 0.001865 s: mul_inv_le_of_le_mul 0.000225 s: equiv.subtype_subtype_equiv_subtype_exists._match_2._proof_2 0.000468 s: is_locally_constant.iff_is_const 0.004990 s: finset.inf_induction 0.000521 s: finset.inf_mem 0.008140 s: category_theory.limits.coprod_is_coprod._proof_1 0.001991 s: category_theory.limits.coprod_is_coprod 0.086510 s: differentiable_within_at.csinh 0.030254 s: times_cont_diff_on.deriv_within 0.003367 s: times_cont_diff_on.deriv_of_open 0.001389 s: deriv_inv 1.613202 s: concave_on_log_Ioi 0.022601 s: direct_sum.ghas_mul.of_add_submonoids.equations._eqn_1 0.015938 s: subalgebra.coe_mul 0.002415 s: filter.has_basis.ext 0.000267 s: monoid_algebra.comm_ring._proof_8 0.000541 s: wf_dvd_monoid.of_wf_dvd_monoid_associates 0.000307 s: ring.closure.equations._eqn_1 0.000239 s: binder_info.has_variable_names 0.000105 s: binder_info.has_variable_names.equations._eqn_1 0.000928 s: is_lawful_bifunctor.sizeof 0.000103 s: is_lawful_bifunctor.has_sizeof_inst 0.002897 s: is_lawful_bitraversable.sizeof 0.006978 s: is_lawful_bitraversable.mk.sizeof_spec 0.001350 s: option_t.monad.equations._eqn_1 0.001182 s: partial_order_of_SO.equations._eqn_1 0.221506 s: bilin_form.semimodule.equations._eqn_1 0.000426 s: alist.empty_entries 0.020702 s: alist.union_empty 0.000125 s: poly.has_neg.equations._eqn_1 0.306817 s: ADE_inequality.lt_six 0.000317 s: mvqpf.const.mk.equations._eqn_1 0.032879 s: measure_theory.measure.prod_snd_absolutely_continuous 0.002306 s: ae_measurable.snd 0.091281 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso_inv_app_hom 0.016005 s: linear_equiv.of_injective_endo.equations._eqn_1 0.000410 s: subalgebra.fg_adjoin_finset 0.022728 s: affine_map.line_map_apply_ring' 0.000303 s: znum.div._main.equations._eqn_3 0.000554 s: fin2.insert_perm._main.equations._eqn_2 0.005542 s: alg_equiv.to_linear_equiv.equations._eqn_1 0.001117 s: vector.mmap._main.equations._eqn_1 0.000660 s: vector.mmap.equations._eqn_1 0.002741 s: finsupp.sum_finsupp_add_equiv_prod_finsupp_symm_inr 0.000606 s: linear_order.ext 0.000352 s: union_upper_bounds_subset_upper_bounds_inter 0.000122 s: game.of 0.000268 s: set.pairwise_on.equations._eqn_1 0.003291 s: set.pairwise_on_univ 0.000309 s: pairwise_disjoint_fiber 0.000984 s: wseq.zip_with._match_1.equations._eqn_5 0.000562 s: onote.NF_power_aux.equations._eqn_2 0.000481 s: nat.decidable_le._sunfold 0.000047 s: ordnode.find_min 0.000195 s: ordnode.find_min.equations._eqn_2 0.012538 s: measure_theory.snorm'_measure_zero_of_neg 0.000383 s: nat.infinite._match_1.equations._eqn_1 0.006003 s: cardinal.to_enat.equations._eqn_1 0.000486 s: monoid.foldr.get.equations._eqn_1 0.000841 s: traversable.foldr.of_free_monoid_comp_free_mk 0.003165 s: traversable.foldr_to_list 0.108104 s: euclidean_geometry.exists_of_range_subset_orthocentric_system 0.132481 s: euclidean_geometry.reflection_mem_of_le_of_mem 0.050203 s: affine.simplex.sum_reflection_circumcenter_weights_with_circumcenter 0.649809 s: affine.triangle.dist_orthocenter_reflection_circumcenter 0.089706 s: euclidean_geometry.dist_reflection_eq_of_mem 0.313621 s: euclidean_geometry.exists_dist_eq_circumradius_of_subset_insert_orthocenter 0.056819 s: subfield.closure_union 0.000484 s: ordnode.alter._match_1.equations._eqn_2 0.001316 s: geom_sum₂_mul_add 0.007114 s: category_theory.sigma.sigma_hom.comp_def 0.045818 s: continuous_map.linear_isometry_bounded_of_compact_to_isometric 0.007261 s: local_homeomorph.prod_source 0.000356 s: fintype.choose.equations._eqn_1 0.000041 s: fun_info.has_sizeof_inst 0.000312 s: lt_add_of_lt_add_left 0.011920 s: polynomial.map_list_prod 0.000171 s: holor.assoc_right._proof_1 0.000306 s: tactic.itauto.prop.and'.inj 0.000758 s: tactic.itauto.prop.and'.inj_eq 0.000507 s: filter_basis.rec_on 0.001954 s: category_theory.monoidal_category.left_unitor_tensor_inv 0.000682 s: nzsnum.drec'._sunfold 0.000073 s: pnat.gcd_z.equations._eqn_1 0.000382 s: quaternion_algebra.eq_re_of_eq_coe 0.000746 s: equiv.perm.cycle_of.equations._eqn_1 0.001010 s: Set.Union.equations._eqn_1 0.060609 s: is_basis.dual_basis.equations._eqn_1 0.000477 s: monoid_hom.to_fun_eq_coe 0.023779 s: free_group.sum_mk 0.056866 s: free_group.free_group_unit_equiv_int._match_1 0.024247 s: free_group.free_group_unit_equiv_int._proof_1 0.009392 s: free_group.sum.map_mul 0.025758 s: free_group.free_group_unit_equiv_int._proof_2 0.000411 s: free_group.free_group_unit_equiv_int 0.000018 s: nat.sizeof._sunfold 0.023110 s: algebra.to_semimodule.equations._eqn_1 0.000063 s: linarith.ineq.cmp.equations._eqn_9 0.000269 s: omega.eq_elim._main.equations._eqn_1 0.000066 s: omega.eq_elim.equations._eqn_1 0.000485 s: equiv.to_pequiv_apply 0.000189 s: con.quotient.inhabited 0.000191 s: add_monoid_algebra.equations._eqn_1 0.129026 s: lie_submodule.quotient.lie_quotient_lie_module._proof_1 0.027349 s: lie_submodule.quotient.lie_quotient_lie_module 0.014095 s: lie_submodule.quotient.lie_quotient_lie_module.equations._eqn_1 0.002253 s: computation.think_terminates._sunfold 0.002689 s: category_theory.limits.inhabited_cocone._match_1.equations._eqn_1 0.011458 s: fin.linear_order.equations._eqn_1 0.003308 s: finmap.any._proof_1 0.001086 s: finmap.any 0.000449 s: finmap.any.equations._eqn_1 0.000601 s: equiv.list_equiv_of_equiv 0.000118 s: equiv.list_equiv_self_of_equiv_nat 0.000186 s: equiv.list_equiv_self_of_equiv_nat.equations._eqn_1 0.000106 s: wseq.is_finite.cases_on 0.004031 s: category_theory.cofinal.limit_cone_of_comp_is_limit 0.000538 s: wseq.take._match_1.equations._eqn_2 0.000186 s: setoid.gi._proof_2 0.002542 s: power_series.eq_mul_inv_iff_mul_eq 0.005980 s: category_theory.mono_over.slice._proof_7 0.002510 s: ultrafilter_pure_injective 0.004138 s: linear_ordered_add_comm_monoid.sizeof 0.009737 s: linear_ordered_add_comm_monoid.mk.sizeof_spec 0.007397 s: integral_closure.equations._eqn_1 0.000205 s: finset.bdd_above 0.029807 s: matrix.det_of_block_triangular_matrix'' 0.000637 s: local_equiv.pi_target 0.005220 s: category_theory.with_initial.lift_to_initial_map 0.013012 s: le_neg_iff_add_nonpos 0.000303 s: filter.germ.ordered_cancel_add_comm_monoid._proof_1 0.004814 s: setoid.quotient_quotient_equiv_quotient.equations._eqn_1 0.000427 s: parser.err_static.str 0.000382 s: parser.err_static.str.equations._eqn_1 0.000725 s: filter.bot_ne_hyperfilter 0.000650 s: is_local_extr.on 0.007210 s: linear_equiv_of_is_basis'._proof_3 0.000218 s: lift_pair₂ 0.158748 s: polynomial.splits_iff_exists_multiset 0.230297 s: polynomial.splits_iff_card_roots 0.218707 s: polynomial.X_pow_sub_one_splits 0.000897 s: set.Iic.semilattice_inf_top._proof_7 0.016717 s: category_theory.regular_epi.mk.sizeof_spec 0.001943 s: relation.refl_gen.to_refl_trans_gen 0.058023 s: affine_map.fst_linear 0.016482 s: category_theory.limits.of_π_congr.equations._eqn_1 0.006899 s: finsum_mem_inter_add_diff' 0.166979 s: integral_cos_sq_sub_sin_sq 0.001164 s: omega.int.preform.repr._main.equations._eqn_2 0.000183 s: omega.int.preform.repr.equations._eqn_2 0.000293 s: set.nonempty.some.equations._eqn_1 0.030058 s: category_theory.preadditive.mk.inj 0.006259 s: category_theory.preadditive.mk.inj_arrow 0.005373 s: continuous_linear_equiv.is_O_sub 0.001166 s: set.image_eq_empty 0.002505 s: id_groupoid._proof_2 0.001112 s: category_theory.single_obj.to_End.equations._eqn_1 0.000425 s: polynomial.has_separable_contraction.degree.equations._eqn_1 0.000655 s: set.fintype_subset.equations._eqn_1 0.001818 s: convex_on.equations._eqn_1 0.001664 s: category_theory.limits.bicone.no_confusion 0.003357 s: category_theory.limits.bicone.mk.inj 0.002696 s: lie_subalgebra.is_cartan_subalgebra.drec_on 0.000164 s: euclidean_domain.nsmul._default 0.000119 s: additive.to_mul.equations._eqn_1 0.001337 s: list.many._main.equations._eqn_2 0.000366 s: list.many.equations._eqn_2 0.000072 s: parser.prog.digit.equations._eqn_1 0.000111 s: equiv.subtype_subtype_equiv_subtype_exists._match_1._proof_1 0.000400 s: equiv.subtype_subtype_equiv_subtype_exists._match_1.equations._eqn_1 0.005091 s: category_theory.kleisli.adjunction.from_kleisli.equations._eqn_1 0.000192 s: isometric.mk'._proof_1 0.000185 s: opposite.has_neg.equations._eqn_1 0.000822 s: monoid_with_zero_hom.sizeof 0.001745 s: monoid_with_zero_hom.mk.sizeof_spec 0.001548 s: nat.modeq.chinese_remainder'._match_1.equations._eqn_1 0.000150 s: nsmul_rec._sunfold 0.032820 s: pochhammer_eval_one' 0.007129 s: polynomial.mul_X_add_nat_cast_comp 0.012113 s: pochhammer_mul 0.022842 s: factorial_mul_pochhammer' 0.000156 s: tactic.itauto.proof.curry.inj_arrow 0.008054 s: category_theory.nat_iso.remove_op.equations._eqn_1 0.000462 s: cast_znum.equations._eqn_3 0.000401 s: list.lookup_all._sunfold 0.011574 s: tendsto_ceil_left' 0.072153 s: tendsto_ceil_left 0.024552 s: is_min_on.sub 0.026095 s: ideal.mem_of_one_mem 0.000445 s: add_neg_of_nonpos_of_neg' 0.000270 s: set.eq_on.surj_on_iff 0.180439 s: fraction_map.field_equiv_of_ring_equiv._proof_1 0.000573 s: preorder_hom.prod.snd._match_3.equations._eqn_1 0.017082 s: list.pw_filter._main.equations._eqn_2 0.000394 s: list.pw_filter.equations._eqn_2 0.025565 s: linear_map.llcomp_apply 0.158784 s: lie_equiv.of_subalgebras.equations._eqn_1 0.000353 s: hahn_series.add_val._proof_1 0.013225 s: free_algebra.pre.add.inj_eq 0.004035 s: is_bounded_linear_map.fderiv_within 0.000869 s: finsupp.semilattice_inf_bot._proof_6 0.144169 s: topological_space.open_nhds.open_nhds_is_filtered.equations._eqn_1 0.005083 s: int.succ_pred 0.028170 s: implicit_function_data.no_confusion 0.009062 s: implicit_function_data.mk.inj 0.020292 s: implicit_function_data.mk.inj_eq 0.012957 s: filter.germ.comm_group.equations._eqn_1 0.006421 s: mv_polynomial.esymm_zero 0.000122 s: triv_sq_zero_ext.add_group 0.000122 s: triv_sq_zero_ext.add_group.equations._eqn_1 0.000511 s: nat.coprime_self 0.000284 s: pos_num.cmp._main.equations._eqn_4 0.001107 s: times_cont_diff_on.mul 0.001410 s: stream.tail_interleave 0.001656 s: stream.interleave_even_odd 0.002702 s: list.remove_nth_eq_nth_tail 0.001270 s: list.modify_nth_tail_id 0.000618 s: list.remove_nth_insert_nth 0.005241 s: finset.add_card_le 0.001915 s: linear_map.comap_injective 0.002883 s: holor.add_comm_semigroup._proof_2 0.001225 s: pfunctor.approx.children'._sunfold 0.000540 s: free_add_magma.map_of 0.000845 s: ring_hom.apply_apply 0.000179 s: set.countable_encodable' 0.006247 s: pos_num.add_comm_semigroup._proof_1 0.000191 s: category_theory.mono_over.inhabited 0.015205 s: linear_map.ker_restrict_scalars 0.001538 s: cardinal.finset_card_lt_omega 0.001908 s: cardinal.mk_compl_finset_of_omega_le 0.003031 s: asymptotics.is_O_principal 0.020722 s: has_fpower_series_on_ball.image_sub_sub_deriv_le 0.009886 s: free_semigroup.lift_unique 0.000966 s: qpf.quotient_qpf._proof_1 0.000336 s: state_t.has_monad_lift.equations._eqn_1 0.001926 s: int.pos_of_sign_eq_one 0.005354 s: ring_equiv.map_one 0.005729 s: ring_equiv.map_neg 0.005265 s: ring_equiv.map_neg_one 0.000225 s: opposite.unop_neg 0.011040 s: sesq_form.neg_right 0.000167 s: add_magma.free_add_semigroup.map._proof_1 0.000413 s: monoid_algebra.distrib.equations._eqn_1 0.000528 s: is_totally_disconnected_empty 0.000514 s: mvpfunctor.obj.inhabited.equations._eqn_1 0.000329 s: has_continuous_add.drec 0.011802 s: boolean_algebra.core.cases_on 0.008921 s: boolean_algebra.core.no_confusion_type 0.005158 s: boolean_algebra.core.no_confusion 0.000822 s: finset.mul_card_image_le_card 0.000845 s: multilinear_map.inhabited.equations._eqn_1 0.000312 s: option.get.equations._eqn_2 0.009778 s: pequiv.matrix_mul_apply 0.000353 s: order_closed_topology.dcases_on 0.005016 s: category_theory.End.group.equations._eqn_1 0.000564 s: category_theory.limits.has_coreflexive_equalizers.drec_on 0.000067 s: empty.decidable_eq 0.000068 s: fin_enum.empty 0.000054 s: fin_enum.empty.equations._eqn_1 0.002252 s: is_add_group_hom.zero_ker_neg 0.000546 s: holor.add_comm_semigroup 0.004103 s: pseudo_metric_space.induced.equations._eqn_1 0.000617 s: state_t.run_put 0.009462 s: submonoid.localization_map.lift_eq_iff 0.010202 s: category_theory.Aut.units_End_equiv_Aut._match_1.equations._eqn_1 0.000212 s: io.iterate.equations._eqn_1 0.001076 s: enat.linear_order.equations._eqn_1 0.000630 s: Mon_.forget_map_cone_limit_cone_iso._proof_1 0.000421 s: Mon_.forget_map_cone_limit_cone_iso._proof_2 0.034392 s: Mon_.forget_map_cone_limit_cone_iso._proof_3 0.009616 s: Mon_.forget_map_cone_limit_cone_iso 0.009727 s: Mon_.forget_map_cone_limit_cone_iso.equations._eqn_1 0.002387 s: ring_hom.srange_eq_map 0.004746 s: subsemiring.map_map 0.001551 s: ring_hom.map_srange 0.001184 s: ordnode.valid'.node3_r 0.140940 s: pre_tilt.integral_domain._proof_14 0.025601 s: multiset.union_le_iff 0.000432 s: has_measurable_smul₂.dcases_on 0.000385 s: strict_mono_incr_on.dual_right 0.000455 s: algebra.comap.of_comap.equations._eqn_1 0.000104 s: CommRing.comm_ring.to_ring.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.004115 s: filter.frequently_principal 0.000845 s: d_array.rev_iterate_aux._sunfold 0.001552 s: add_subgroup.coe_comap 0.001907 s: add_subgroup.map_eq_comap_of_inverse 0.001199 s: continuous_map.inv_coe 0.003023 s: continuous_map.inv_comp 0.000716 s: is_integral_domain.drec 0.012066 s: matrix.mul_vec_lin.equations._eqn_1 0.000179 s: gaussian_int.comm_ring.equations._eqn_1 0.001784 s: topological_vector_bundle.trivialization.has_sizeof_inst 0.003077 s: homological_complex.homology_group.equations._eqn_1 0.001503 s: normed_field.has_continuous_inv'.equations._eqn_1 0.000083 s: regular_expression.has_mul.equations._eqn_1 0.000465 s: linarith.linexp.cmp._main.equations._eqn_3 0.000090 s: linarith.linexp.cmp.equations._eqn_3 0.001019 s: category_theory.sigma.sigma_hom.no_confusion 0.000753 s: category_theory.sigma.sigma_hom.mk.inj 0.001837 s: category_theory.sum.swap._match_2.equations._eqn_1 0.001151 s: omega_complete_partial_order.continuous_hom.mk.sizeof_spec 0.003023 s: stereographic_target 0.260710 s: stereographic'_target 0.000542 s: stream.interchange 0.023014 s: simps_cfg.mk.inj 0.001700 s: simps_cfg.mk.inj_arrow 0.000333 s: submodule.to_linear_ordered_add_comm_monoid._proof_1 0.001884 s: submodule.to_linear_ordered_add_comm_monoid._proof_3 0.007969 s: submodule.to_linear_ordered_add_comm_monoid 0.032301 s: subsemiring.map_bot 0.000610 s: simplex_category.small_category_to_category_struct_to_quiver_hom 0.018121 s: prod.lattice.equations._eqn_1 0.002079 s: category_theory.limits.prod.diag_map_fst_snd 0.000316 s: tactic_doc._3157717321 0.011257 s: has_forget_to_AddSemigroup.equations._eqn_1 0.028998 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso.equations._eqn_1 0.004391 s: category_theory.limits.preserves_limits_of_shape.mk.inj 0.000784 s: plift.is_lawful_applicative._match_1 0.000350 s: plift.is_lawful_applicative._match_2 0.000476 s: plift.is_lawful_applicative._match_5 0.001524 s: plift.is_lawful_applicative 0.001010 s: plift.is_lawful_applicative.equations._eqn_1 0.004801 s: mv_power_series.coeff_comp_monomial 0.003271 s: category_theory.prod.snd.equations._eqn_1 0.000129 s: string.hash 0.000067 s: string.hash.equations._eqn_1 0.003325 s: category_theory.lax_braided_functor.map_CommMon_obj_to_Mon_ 0.005583 s: category_theory.functor.functoriality_comp_precompose_inv_app_hom 0.000111 s: string.iterator.prev_to_string._main.equations._eqn_1 0.000825 s: finsupp.nontrivial.equations._eqn_1 0.003206 s: lie_ideal_subalgebra.equations._eqn_1 0.001423 s: circle_deg1_lift.semiconj_of_is_unit_of_translation_number_eq 0.000190 s: DFA.to_NFA 0.001967 s: DFA.to_NFA_eval_from_match 0.001491 s: pi.multiset_prod_apply 0.013345 s: matrix.block_diagonal_sub 0.000921 s: quiver.mk.sizeof_spec 0.000324 s: tactic.interactive.case_tag.match_result.no_confusion 0.000108 s: real.continuous_at_arcsin 0.001067 s: linarith.comp_source.to_string._main.equations._eqn_2 0.000146 s: linarith.comp_source.to_string.equations._eqn_2 0.003688 s: measurable_equiv.set.image._proof_1 0.000500 s: equiv.set.image.equations._eqn_1 0.016618 s: equiv.set.image_symm_preimage 0.005636 s: measurable_equiv.set.image._proof_2 0.001399 s: measurable_equiv.set.image 0.001611 s: measurable_equiv.set.image.equations._eqn_1 0.466038 s: module.End.has_eigenvalue_of_is_root 0.206118 s: module.End.has_eigenvalue_iff_is_root 0.000201 s: set.has_neg.equations._eqn_1 0.000217 s: bitvec.sborrow._sunfold 0.027149 s: pgame.short_add._main.equations._eqn_1 0.007221 s: ring_equiv.coe_ring_hom_inj_iff 0.003998 s: zmod.subsingleton_ring_equiv 0.001624 s: zmod.subsingleton_ring_equiv.equations._eqn_1 0.001717 s: num.cmp_eq 0.000443 s: mvqpf.fix.equations._eqn_1 0.003542 s: is_bounded_bilinear_map.cases_on 0.005824 s: submodule.semimodule_set._proof_2 0.015948 s: valuation.on_quot_val.equations._eqn_1 0.000257 s: ωCPO.of.equations._eqn_1 0.001252 s: omega.nat.preterm.fresh_index._main.equations._eqn_3 0.000090 s: omega.nat.preterm.fresh_index.equations._eqn_3 0.000156 s: wseq.collect 0.000161 s: wseq.collect.equations._eqn_1 0.000071 s: ordering.or_else._main.equations._eqn_2 0.012579 s: ennreal.top_ne_nat 0.002652 s: submodule.induction_on_rank 0.002544 s: submodule.induction_on_rank.equations._eqn_1 0.000083 s: psum.has_sizeof 0.001112 s: category_theory.limits.limit_bicone.cases_on 0.000688 s: category_theory.limits.limit_bicone.no_confusion_type 0.000967 s: category_theory.limits.limit_bicone.no_confusion 0.001101 s: ulift.is_lawful_applicative._match_2.equations._eqn_1 0.136406 s: submodule.finite_dimensional_sup.equations._eqn_1 0.001236 s: filter.tendsto_at_top_of_add_bdd_above_left 0.039112 s: filter.tendsto_at_bot_of_add_bdd_below_left 0.000318 s: turing.TM0to1.tr_cfg 0.000691 s: turing.TM0to1.tr_cfg.equations._eqn_1 0.018914 s: turing.TM0to1.tr_respects 0.000293 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_2 0.000159 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_3 0.001948 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_5 0.000229 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_6 0.000245 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_7 0.001887 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_8 0.000207 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_9 0.001568 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_10 0.001579 s: comm_group_with_zero_of_is_unit_or_eq_zero._proof_11 0.004820 s: comm_group_with_zero_of_is_unit_or_eq_zero 0.003382 s: comm_group_with_zero_of_is_unit_or_eq_zero.equations._eqn_1 0.000535 s: where.select_for_which._main.equations._eqn_1 0.000257 s: rack.pre_envel_group_rel'.mul_left_inv.inj_arrow 0.016570 s: order_topology.regular_space._match_3.equations._eqn_1 0.006757 s: slim_check.test_forall_in_list._match_1 0.002192 s: slim_check.test_forall_in_list._main 0.000138 s: slim_check.test_forall_in_list 0.001475 s: slim_check.test_forall_in_list._sunfold 0.000686 s: power_series.sin 0.000571 s: power_series.sin.equations._eqn_1 0.007403 s: power_series.map_sin 0.003842 s: tensor_product.has_scalar'.equations._eqn_1 0.012961 s: Module.free_obj 0.004184 s: equiv.perm.cycle_factors_aux._main._proof_3 0.000139 s: free_add_magma.add.inj_arrow 0.000506 s: finset.exists_maximal 0.007705 s: multilinear_curry_left_equiv._proof_4 0.000136 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_15 0.000869 s: ring_equiv.of_left_inverse._proof_3 0.000688 s: finsupp.add_monoid._match_3.equations._eqn_1 0.032096 s: measure_theory.L1.simple_func.edist_eq 0.010834 s: padic_int.complete.equations._eqn_1 0.000369 s: has_measurable_div.drec 0.000033 s: norm_cast.label.has_to_string 0.000028 s: norm_cast.label.has_to_string.equations._eqn_1 0.008135 s: partrec.vector_m_of_fn 0.005548 s: nat.partrec'.to_part 0.000113 s: nat.partrec'.part_iff 0.000454 s: ordnode.nth._match_1.equations._eqn_2 0.000195 s: nat.gcd_eq_right_iff_dvd 0.030717 s: is_simple_group.prime_card 0.000410 s: category_theory.limits.preserves_colimits_of_shape.no_confusion_type 0.005355 s: category_theory.limits.preserves_colimits_of_shape.no_confusion 0.000406 s: lt_neg_of_lt_neg 0.000735 s: add_con.add_group._proof_9 0.013493 s: opposite.ring.equations._eqn_1 0.036505 s: sub_le_of_abs_sub_le_left 0.000333 s: sub_le_of_abs_sub_le_right 0.007186 s: deriv_within_inv' 0.000052 s: congr_arg_kind.sizeof 0.000042 s: congr_arg_kind.has_sizeof_inst 0.003405 s: equiv.image_symm_apply_coe 0.001684 s: mv_polynomial.invertible_coe_nat.equations._eqn_1 0.020905 s: finset.sum_range_id_mul_two 0.003106 s: finset.sum_range_id 0.041317 s: Module.kernel_is_limit.equations._eqn_1 0.035095 s: category_theory.limits.evaluation_preserves_limits_of_shape.equations._eqn_1 0.007001 s: set.piecewise_compl 0.030904 s: matrix.unitary_group.to_linear_equiv.equations._eqn_1 0.010926 s: tactic.interactive.list.minimum_on._match_1.equations._eqn_1 0.003054 s: category_theory.monoidal_nat_trans.rec_on 0.000343 s: is_cond_right_inv.dcases_on 0.000266 s: nat.digit_succ._main.equations._eqn_1 0.001381 s: category_theory.with_terminal.comp._main.equations._eqn_1 0.000202 s: inducing.rec_on 0.004014 s: uniform_space.separated_separation._match_1.equations._eqn_1 0.000748 s: category_theory.limits.cocone_left_op_of_cone_X 0.009248 s: add_monoid_algebra.lift_apply' 0.003777 s: add_monoid_algebra.lift_apply 0.000394 s: to_add_of_add 0.016689 s: add_monoid_algebra.lift_unique 0.005072 s: Compactum.incl.equations._eqn_1 0.000079 s: unification_constraint.inhabited 0.000063 s: unification_hint.inhabited 0.003020 s: coe_affine_span 0.000296 s: topological_space.closeds.inhabited.equations._eqn_1 0.001340 s: list.Ico.pred_singleton 0.000938 s: multiset.Ico.pred_singleton 0.000313 s: finset.Ico.pred_singleton 0.000042 s: real.linear_ordered_ring.equations._eqn_1 0.000153 s: prod.bounded_distrib_lattice._proof_1 0.000321 s: prod.bounded_distrib_lattice._proof_2 0.000485 s: prod.bounded_distrib_lattice._proof_3 0.000455 s: prod.bounded_distrib_lattice._proof_4 0.000506 s: prod.bounded_distrib_lattice._proof_5 0.000898 s: prod.bounded_distrib_lattice._proof_7 0.000199 s: prod.distrib_lattice._proof_2 0.000339 s: prod.distrib_lattice._proof_4 0.000469 s: prod.distrib_lattice._proof_5 0.000542 s: prod.distrib_lattice._proof_7 0.000413 s: prod.distrib_lattice._proof_8 0.016720 s: prod.distrib_lattice._proof_11 0.011066 s: prod.distrib_lattice 0.002545 s: prod.bounded_distrib_lattice._proof_11 0.001942 s: prod.bounded_distrib_lattice._proof_13 0.094031 s: prod.bounded_distrib_lattice 0.098502 s: prod.bounded_distrib_lattice.equations._eqn_1 0.004938 s: continuous_linear_map.subtype_val.equations._eqn_1 0.000919 s: set.is_lawful_singleton.equations._eqn_1 0.000190 s: pfun_fintype._proof_1 0.000027 s: vm_obj_kind.other.inj 0.000027 s: vm_obj_kind.other.inj_arrow 0.000050 s: congr_arg_kind.fixed.sizeof_spec 0.000207 s: order_dual.semilattice_sup_top._proof_2 0.000376 s: order_dual.semilattice_sup_top._proof_3 0.000579 s: order_dual.semilattice_sup_top._proof_5 0.000606 s: order_dual.semilattice_sup_top._proof_7 0.000523 s: order_dual.semilattice_sup_top._proof_8 0.004681 s: order_dual.semilattice_sup_top 0.005535 s: order_dual.semilattice_sup_top.equations._eqn_1 0.003986 s: Top.adj₁._proof_4 0.001520 s: Top.adj₁._proof_5 0.002654 s: Top.adj₁._proof_6 0.003559 s: Top.adj₁._proof_7 0.004826 s: Top.adj₁._proof_8 0.018170 s: Top.adj₁ 0.017453 s: Top.adj₁.equations._eqn_1 0.000101 s: nat.partrec.code.comp.inj_arrow 0.005340 s: nat.partrec.code.const_inj 0.004310 s: category_theory.internal_hom._proof_2 0.009380 s: category_theory.limits.is_limit.rec_on 0.000082 s: or_congr_right 0.001249 s: omega_complete_partial_order.continuous_hom.flip_to_fun 0.095384 s: category_theory.limits.cones.equivalence_of_reindexing_unit_iso 0.017802 s: Module.colimits.desc_fun_lift._main.equations._eqn_4 0.000962 s: Module.colimits.desc_fun_lift.equations._eqn_4 0.002778 s: subring.coe_prod 0.002806 s: measurable_equiv.prod_assoc._proof_2 0.000789 s: CommMon_.category_theory.category.equations._eqn_1 0.000561 s: asymptotics.is_O_with.of_neg_right 0.004447 s: category_theory.isomorphism_classes.equations._eqn_1 0.000257 s: parser.static.many_char1.equations._eqn_1 0.000572 s: intermediate_field.set_like.equations._eqn_1 0.000260 s: well_founded.min.equations._eqn_1 0.003052 s: smooth_semiring.cases_on 0.000028 s: auto.case_option.has_sizeof_inst 0.001363 s: category_theory.subobject.exists 0.001829 s: category_theory.subobject.exists_pullback_adj 0.000375 s: filter.tendsto_at_bot_of_monotone_of_subseq 0.006584 s: nnreal.has_add.equations._eqn_1 0.000028 s: tactic.delta_config.has_sizeof_inst 0.000528 s: subtype.comm_ring.equations._eqn_1 0.000335 s: set.not_mem_Ioc_of_le 0.027625 s: Module.normal_mono.equations._eqn_1 0.276456 s: has_strict_fderiv_at.log 0.002824 s: add_valuation.mem_supp_iff 0.044090 s: real.linear_ordered_comm_ring.equations._eqn_1 0.003058 s: free_group.monad.equations._eqn_1 0.000127 s: multiset.disjoint_of_nodup_add 0.002125 s: finset.sum_preimage_of_bij 0.004815 s: finsupp.sum_comap_domain 0.001600 s: relation.trans_gen.trans_gen_lift 0.000572 s: relation.trans_gen.trans_gen_lift' 0.000165 s: relation.trans_gen.trans_gen_closed 0.000435 s: sym.inhabited_sym._proof_1 0.000325 s: sym.inhabited_sym 0.000382 s: sym.inhabited_sym.equations._eqn_1 0.001935 s: add_monoid_hom.coe_of_map_midpoint 0.449625 s: affine_map.of_map_midpoint._proof_7 0.000173 s: has_vsub.cases_on 0.000101 s: has_vsub.no_confusion_type 0.000360 s: has_vsub.no_confusion 0.000148 s: has_vsub.mk.inj 0.000307 s: ordnode.span._sunfold 0.000223 s: lazy_list.has_mem.equations._eqn_1 0.038597 s: primrec.fin_curry 0.002491 s: mv_polynomial.pderiv_C_mul 0.000190 s: category_theory.limits.has_binary_biproducts.rec_on 0.000171 s: nat.lt_trichotomy 0.000086 s: nat.eq_or_lt_of_not_lt 0.000927 s: bounded_random.no_confusion 0.000608 s: bounded_random.mk.inj 0.000416 s: bounded_random.mk.inj_arrow 0.000594 s: Compactum.forget.equations._eqn_1 0.000200 s: presented_group.of 0.002580 s: multilinear_map.mk_pi_algebra.equations._eqn_1 0.129809 s: linear_equiv.lie_conj.equations._eqn_1 0.023120 s: category_theory.sum.inverse_associator._match_2.equations._eqn_3 0.022248 s: subsemiring.map_supr 0.005033 s: ulift.group.equations._eqn_1 0.003642 s: dfinsupp.map_range.add_monoid_hom_apply 0.000574 s: option_t.catch._match_1.equations._eqn_2 0.000052 s: auto.case_option.accept.sizeof_spec 0.001353 s: list.concat_ne_nil 0.000031 s: expr_lens.dir.inhabited 0.004588 s: equiv.perm.subtype_congr.refl 0.000284 s: equiv.perm.subtype_congr_hom._proof_1 0.001777 s: equiv.perm.subtype_congr_hom._proof_2 0.006360 s: equiv.perm.subtype_congr_hom 0.002230 s: category_theory.monoidal.CommMon_functor_category_equivalence 0.004181 s: category_theory.monoidal.CommMon_functor_category_equivalence_unit_iso 0.000169 s: znum.zneg_pos 0.002543 s: typevec.prod.diag._main.equations._eqn_2 0.000443 s: pi.generalized_boolean_algebra._proof_3 0.004009 s: bilin_form.neg_left 0.006905 s: bilin_form.sub_left 0.006385 s: bilin_form.comp_left_injective 0.002939 s: bilin_form.is_adjoint_pair_unique_of_nondegenerate 0.002165 s: bilin_form.is_adjoint_pair_iff_eq_of_nondegenerate 0.002130 s: add_cancel_monoid.rec_on 0.001298 s: with_top.one_ne_top 0.019919 s: ring_hom.ext_nat 0.000083 s: nat.subsingleton_ring_hom 0.000215 s: list.take_left' 0.000309 s: multiset.erase_dup_eq_zero 0.000549 s: multiset.to_finset_eq_empty 0.000170 s: semigroup.rec_on 0.010699 s: list.reduce_option_length_le 0.000085 s: bool.coe_sort_tt 0.011237 s: list.reduce_option_length_eq_iff 0.005887 s: list.reduce_option_length_lt_iff 0.000133 s: snum.sign._main.equations._eqn_1 0.000848 s: enat.with_top_equiv_symm_le 0.000273 s: state_t.is_lawful_monad_cont._proof_1 0.000996 s: state_t.goto_mk_label 0.005330 s: state_t.is_lawful_monad_cont._proof_3 0.001551 s: state_t.is_lawful_monad_cont._proof_4 0.000740 s: state_t.is_lawful_monad_cont 0.393756 s: ideal.pi_quot_equiv.equations._eqn_1 0.000803 s: shelf.mk.sizeof_spec 0.000558 s: simplex_category.small_category_to_category_struct_id 0.000047 s: rbnode.color.red.inj 0.000056 s: rbnode.color.red.inj_eq 0.002261 s: add_submonoid.prod_equiv._proof_1 0.022997 s: add_submonoid.prod_equiv 0.010068 s: add_submonoid.prod_equiv.equations._eqn_1 0.001264 s: norm_cast.label.of_string._main.equations._eqn_3 0.000081 s: norm_cast.label.of_string.equations._eqn_3 0.003556 s: smooth_within_at_pi_space 0.001607 s: measurable_equiv.pi_measurable_equiv_tprod.equations._eqn_1 0.002065 s: topological_space.open_nhds.opens_nhds_hom_has_coe_to_fun.equations._eqn_1 0.006144 s: category_theory.limits.pushout_cocone.mk_ι_app_right 0.015780 s: tensor_product.rid_symm_apply 0.104902 s: module.flat.self 0.112137 s: module.flat.self.equations._eqn_1 0.051206 s: padic_int.normed_comm_ring._match_3.equations._eqn_1 0.000687 s: list.rotate'._main.equations._eqn_3 0.000192 s: list.rotate'.equations._eqn_3 0.000084 s: num.ldiff.equations._eqn_1 0.000620 s: function.decidable_eq_pfun._sunfold 0.007606 s: metric.exists_ball_inter_eq_singleton_of_mem_discrete 0.002060 s: simple_graph.incidence_set_fintype 0.003128 s: simple_graph.card_incidence_set_eq_degree 0.002517 s: is_linear_map.cases_on 0.000373 s: embedding.drec 0.000750 s: turing.TM1.stmt.write.sizeof_spec 0.002658 s: lie_algebra.radical.equations._eqn_1 0.000261 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.ibelow 0.002768 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.binduction_on 0.000321 s: interior_Ioo 0.002160 s: frontier_Ioo 0.000052 s: imp_not_self 0.000101 s: decidable.not_imp_self 0.013875 s: category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso_hom_app_hom_app 0.000707 s: mv_polynomial.counit_nat 0.000839 s: mv_polynomial.counit_nat.equations._eqn_1 0.000606 s: relation.refl_trans_gen_eq_self 0.000071 s: relation.refl_trans_gen_idem 0.000690 s: relation.refl_trans_gen_lift' 0.004938 s: local_homeomorph.continuous_on_iff_continuous_on_comp_right 0.003202 s: category_theory.monoidal_category.left_unitor_nat_iso_hom_app 0.002494 s: invertible_of_char_p_not_dvd.equations._eqn_1 0.004207 s: category_theory.limits.is_colimit_of_has_coequalizer_of_preserves_colimit.equations._eqn_1 0.003746 s: category_theory.iso.Ring_iso_to_ring_equiv._proof_1 0.000167 s: ordnode.find_max._main 0.000128 s: ordnode.find_max._main.equations._eqn_1 0.000111 s: omega.int.preform.ibelow 0.001040 s: sym.cons._main.equations._eqn_1 0.010762 s: card_nsmul_eq_zero 0.001043 s: category_theory.under.mk_left 0.000112 s: tactic.interactive.mono_cfg.mk.sizeof_spec 0.000344 s: subsingleton_prod_self_equiv.equations._eqn_1 0.000412 s: lists.is_list.equations._eqn_1 0.000083 s: Preorder.of 0.008432 s: lucas_lehmer.X.bit1_fst 0.000707 s: summable.mapL 0.000208 s: is_coprime.equations._eqn_1 0.003977 s: add_monoid_hom.to_add_equiv.equations._eqn_1 0.003812 s: lie_equiv.symm_apply_apply 0.001014 s: affine_map.nonempty.equations._eqn_1 0.007695 s: real.Sup_nonneg 0.000239 s: parser.static.eps.equations._eqn_1 0.000228 s: list.take'_left' 0.000402 s: omega.int.preterm.fresh_index._main.equations._eqn_2 0.003081 s: real.angle.coe_zero 0.001760 s: real.angle.coe_add 0.006167 s: real.angle.coe_int_mul_eq_gsmul 0.000409 s: category_theory.projective_presentation.cases_on 0.000267 s: category_theory.projective_presentation.no_confusion_type 0.000793 s: category_theory.projective_presentation.no_confusion 0.001146 s: category_theory.projective_presentation.mk.inj 0.003982 s: category_theory.projective_presentation.mk.inj_eq 0.000333 s: with_bot.decidable_lt._main._proof_5 0.001209 s: with_bot.decidable_lt._main.equations._eqn_4 0.002913 s: measure_theory.set_lintegral_one 0.000998 s: measure_theory.lintegral_lintegral_mul 0.008052 s: measure_theory.lintegral_lintegral_mul_inv 0.003220 s: measure_theory.lintegral_mul_const 0.017531 s: measure_theory.measure_lintegral_div_measure 0.007718 s: category_theory.kleisli.adjunction.to_kleisli.equations._eqn_1 0.001982 s: ordinal.is_normal.inj 0.000190 s: ordinal.power_right_inj 0.000718 s: category_theory.differential_object.hom.id_f 0.000243 s: ωCPO.category_theory.limits.has_limits.equations._eqn_1 0.000246 s: category_theory.exists_zigzag' 0.000076 s: tactic.interactive.mono_cfg.mk.inj_arrow 0.000180 s: ring_quot.has_mul.equations._eqn_1 0.000367 s: structure_groupoid.is_local_structomorph_within_at 0.019199 s: structure_groupoid.is_local_structomorph_within_at_local_invariant_prop 0.001417 s: equiv.Pi_curry.equations._eqn_1 0.000057 s: cc_config.ac 0.220733 s: subspace.module.dual.finite_dimensional.equations._eqn_1 0.154618 s: hyperreal.infinite_iff_abs_lt_abs 0.030550 s: pgame.short_neg._main._pack 0.000131 s: pgame.short_neg._main 0.000456 s: partition.odds.equations._eqn_1 0.000292 s: slim_check.ne.printable_prop 0.000138 s: category_theory.enough_projectives.rec_on 0.000241 s: complex.measurable_cos 0.000928 s: ordinal.out.equations._eqn_1 0.000210 s: wseq.split_at 0.005930 s: category_theory.limits.is_colimit.hom_iso.equations._eqn_1 0.000270 s: subalgebra.is_algebraic 0.002820 s: algebra.is_algebraic_iff 0.002873 s: add_neg_le_iff_le_add 0.000489 s: fin.random._match_1.equations._eqn_1 0.003734 s: category_theory.adjunction.left_adjoint_of_equiv.equations._eqn_1 0.004321 s: subalgebra.to_submodule.is_subring.equations._eqn_1 0.000078 s: nzsnum.ibelow 0.001778 s: convex_cone.rec_on 0.000489 s: ereal.neg_def 0.002058 s: ereal.coe_real_inj' 0.004354 s: ereal.neg_neg 0.008426 s: ereal.coe_real_le 0.013865 s: ereal.neg_le_of_neg_le 0.000110 s: ereal.neg_le 0.000252 s: ereal.le_neg_of_le_neg 0.000867 s: category_theory.subobject.lower_iso 0.000387 s: category_theory.mono_over.exists_iso_map._proof_1 0.000338 s: category_theory.mono_over.exists_iso_map._proof_2 0.008929 s: category_theory.mono_over.exists_iso_map._proof_3 0.054222 s: category_theory.mono_over.exists_iso_map._proof_4 0.021633 s: category_theory.mono_over.exists_iso_map 0.003924 s: category_theory.subobject.exists_iso_map 0.069060 s: subring.topological_closure_topological_ring 0.067881 s: subring.topological_closure_topological_ring.equations._eqn_1 0.010298 s: ulift.ring._proof_15 0.002590 s: padic_norm_e.eq_of_norm_add_lt_left 0.000366 s: rbnode.balance1._main.equations._eqn_6 0.002152 s: AddCommGroup.colimits.desc_fun_lift._main.equations._eqn_2 0.000382 s: AddCommGroup.colimits.desc_fun_lift.equations._eqn_2 0.000129 s: lists'.ibelow 0.000449 s: int.alternating_sum_range_choose_of_ne 0.001816 s: enat.partial_order._match_3.equations._eqn_1 0.000366 s: set.nonempty.not_subset_empty 0.000740 s: ext_chart_at_to_inv 0.002735 s: padic_int.norm_lt_pow_iff_norm_le_pow_sub_one 0.000450 s: equiv.perm.sign_aux2._sunfold 0.000384 s: locally_constant.mul_zero_class.equations._eqn_1 0.000043 s: vector3.of_fn 0.000066 s: vector3.of_fn.equations._eqn_1 0.000888 s: list.inits_reverse 0.004165 s: alg_hom.restrict_scalars.equations._eqn_1 0.003528 s: set.Iic.order_bot.equations._eqn_1 0.000588 s: Set.insert._match_6.equations._eqn_1 0.000280 s: fin_one_equiv.equations._eqn_1 0.000343 s: nat.zero_lt_bit1 0.000858 s: holor.mul_right_distrib 0.001124 s: add_submonoid.localization_map.add_equiv_of_add_equiv.equations._eqn_1 0.000484 s: CompHaus_to_Top_obj 0.000419 s: Icc_mem_nhds_within_Iio 0.007233 s: category_theory.under.post_map_left 0.001590 s: tactic_doc._2681847952 0.001111 s: category_theory.limits.has_finite_coproducts_of_has_finite_biproducts.equations._eqn_1 0.005807 s: pSet.resp.eval_aux._sunfold 0.003374 s: con.map_of_surjective._match_5.equations._eqn_1 0.105598 s: linear_map.finite_dimensional_range 0.154394 s: linear_map.finite_dimensional_range.equations._eqn_1 0.000184 s: parser.err_static.char_buf 0.021796 s: nat.arithmetic_function.add_group.equations._eqn_1 0.000330 s: CompHaus.sizeof 0.000728 s: CompHaus.mk.sizeof_spec 0.000246 s: monad_reader_adapter.adapt_reader 0.000350 s: monad_reader_adapter_trans 0.000477 s: monad_reader_adapter_trans.equations._eqn_1 0.000279 s: order.ideal.is_prime.to_prime_pair._proof_1 0.006053 s: free_monoid.star_monoid 0.000609 s: free_monoid.star_of 0.000701 s: submonoid.mrange_inr' 0.002023 s: topological_vector_bundle.trivialization.cases_on 0.001172 s: topological_vector_bundle.trivialization.no_confusion_type 0.001819 s: topological_vector_bundle.trivialization.no_confusion 0.000440 s: rel_hom.ext 0.000808 s: omega.nat.preterm.binduction_on 0.000277 s: initial_seg.refl.equations._eqn_1 0.001178 s: category_theory.limits.cone.equiv_inv_X 0.001904 s: pi.multiset_sum_apply 0.001251 s: multiset.ae_measurable_sum 0.017218 s: int.cast_ring_hom.equations._eqn_1 0.002583 s: category_theory.limits.split_epi_prod_fst.equations._eqn_1 0.000940 s: finsupp.nat_zero_sub 0.000811 s: stream.mem_map 0.001558 s: seq.mem_map 0.000090 s: has_coe_t.rec_on 0.000099 s: SemiRing.equations._eqn_1 0.024997 s: fderiv_within_smul_const 0.000223 s: parser.conditionally_unfailing.rec_on 0.046753 s: hyperreal.inv_epsilon_eq_omega 0.109742 s: hyperreal.epsilon_pos 0.031684 s: hyperreal.omega_pos 0.000157 s: hyperreal.omega_ne_zero 0.039774 s: hyperreal.epsilon_mul_omega 0.000146 s: tactic.suggest.head_symbol_match.both.sizeof_spec 0.000290 s: pi.has_div.equations._eqn_1 0.007571 s: subsemiring.no_confusion 0.000259 s: homeomorph.mul_left'._proof_2 0.001621 s: add_equiv.to_CommMon_iso_hom 0.000544 s: measurable_equiv.no_confusion 0.002507 s: measurable_equiv.mk.inj 0.001770 s: measurable_equiv.mk.inj_arrow 0.000107 s: omega.ee.repr.equations._eqn_4 0.007985 s: tensor_product.has_scalar'._match_1.equations._eqn_1 0.000344 s: category_theory.single_obj.category_struct.equations._eqn_1 0.003086 s: uniform_embedding_set_inclusion 0.002590 s: con.map_apply 0.000414 s: pgame.add.equations._eqn_1 0.007172 s: subtype_mk.is_add_group_hom 0.000289 s: filter.is_measurably_generated.cases_on 0.000078 s: slim_check.tree.sample 0.000231 s: slim_check.sampleable_tree 0.000102 s: slim_check.sampleable_tree.equations._eqn_1 0.001239 s: finsupp.monotone_to_fun 0.002377 s: function.embedding.arrow_congr_right._proof_1 0.000328 s: function.embedding.arrow_congr_right 0.001486 s: cardinal.power_le_power_left 0.004707 s: cardinal.power_le_max_power_one 0.004994 s: cancel_monoid_with_zero.mk.inj 0.004142 s: cancel_monoid_with_zero.mk.inj_arrow 0.000054 s: list.sorted.equations._eqn_1 0.001973 s: add_subgroup.top_normal.equations._eqn_1 0.002293 s: list.foldr_hom 0.000453 s: mul_lt_of_lt_of_le_one' 0.000450 s: topological_space.countable_basis.equations._eqn_1 0.000098 s: linarith.comp.cases_on 0.000085 s: linarith.comp.no_confusion_type 0.000642 s: W_type.mk.inj 0.000253 s: W_type.mk.inj_arrow 0.000523 s: is_extr_on.elim 0.000238 s: is_max_on.is_extr 0.001192 s: is_extr_on.neg 0.000196 s: set.singleton_hom._proof_2 0.000082 s: tactic.transparency.all.sizeof_spec 0.000931 s: name.has_prefix._main.equations._eqn_3 0.014486 s: lie_module_equiv.symm_trans_apply 0.000410 s: set.mem_interval_of_le 0.003539 s: filter.tendsto_at_bot_pure 0.002521 s: set.image_const_add_Iic 0.000841 s: set.image_sub_const_Iic 0.000046 s: tactic.local_cache.internal.def_local.FNV_PRIME 0.000074 s: tactic.local_cache.internal.def_local.FNV_PRIME.equations._eqn_1 0.011667 s: alg_hom.finite_type.id 0.003712 s: finset.le_inf'_iff 0.002263 s: contracting_with.dist_le_mul 0.374939 s: contracting_with.dist_inequality 0.031554 s: contracting_with.dist_le_of_fixed_point 0.021883 s: contracting_with.dist_fixed_point_fixed_point_of_dist_le' 0.047695 s: has_fpower_series_at.has_strict_deriv_at 0.012894 s: has_fpower_series_at.has_deriv_at 0.003922 s: prime_spectrum.comap_id 0.002157 s: pow_inv_comm' 0.000089 s: stream.inhabited 0.000098 s: stream.inhabited.equations._eqn_1 0.000029 s: pos_num.one.inj_arrow 0.836238 s: CommRing.limit_comm_ring.equations._eqn_1 0.000168 s: psigma.inhabited 0.000205 s: psigma.inhabited.equations._eqn_1 0.006643 s: add_cancel_comm_monoid.sizeof 0.008509 s: add_cancel_comm_monoid.mk.sizeof_spec 0.000309 s: vector.update_nth 0.013745 s: category_theory.monad.creates_G_split_coequalizers_of_monadic.equations._eqn_1 0.000327 s: is_simple_lattice.dcases_on 0.000253 s: group.closure.equations._eqn_1 0.000232 s: typevec.from_append1_drop_last.equations._eqn_1 0.000092 s: int.add_neg 0.000029 s: expr.coord.elet_assignment.inj 0.000027 s: expr.coord.elet_assignment.inj_arrow 0.031446 s: continuous_linear_map.restrict_scalars_add 0.002916 s: primrec.of_equiv_symm_iff 0.000499 s: quiver.zigzag_setoid._match_2.equations._eqn_1 0.000078 s: or.neg_resolve_right 0.006470 s: direct_sum.component.lof_self 0.000889 s: category_theory.has_forget₂.no_confusion_type 0.001335 s: category_theory.has_forget₂.no_confusion 0.000998 s: category_theory.has_forget₂.mk.inj 0.000909 s: category_theory.has_forget₂.mk.inj_arrow 0.124180 s: parser.static.any_char 0.000141 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton._proof_2 0.000073 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton._proof_4 0.000570 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton 0.000593 s: category_theory.thin_skeleton.thin_skeleton_is_skeleton.equations._eqn_1 0.063999 s: eval_det 1.002705 s: det_eq_sign_char_poly_coeff 0.000150 s: monad_io_environment.get_env 0.000072 s: io.env.get 0.002654 s: category_theory.category_of_elements.structured_arrow_equivalence_functor_obj_right 0.000260 s: local_ring.residue_field.field.equations._eqn_1 0.000569 s: filter.germ.bounded_lattice._proof_5 0.000871 s: local_equiv.is_image.restr_apply 0.000507 s: pos_num.ldiff._main.equations._eqn_8 0.000049 s: pos_num.ldiff.equations._eqn_8 0.005608 s: times_cont_mdiff_map.mk.inj_arrow 0.108877 s: zmod.euler_criterion 0.023635 s: nat.odd_of_mod_four_eq_three 0.002960 s: nat.odd_mul_odd 0.067753 s: zmod.exists_pow_two_eq_prime_iff_of_mod_four_eq_three 0.012679 s: function.surjective.mul_action_with_zero._proof_3 0.003197 s: function.surjective.mul_action_with_zero._proof_4 0.004362 s: function.surjective.mul_action_with_zero 0.004760 s: lt_of_smul_lt_smul_of_nonneg 0.002917 s: smul_lt_smul_iff_of_pos 0.109136 s: line_map_lt_line_map_iff_of_lt 0.001652 s: free_semigroup.traverse_pure' 0.000085 s: tactic.tfae.arrow.rec_on 0.020213 s: category_theory.monad.free_coequalizer.bottom_map.equations._eqn_1 0.003748 s: monoid_algebra.smul_comm_class 0.004868 s: monoid_algebra.smul_comm_class.equations._eqn_1 0.000079 s: tactic.interactive.case_tag.has_to_string.equations._eqn_1 0.008560 s: category_theory.limits.pushout_cocone.is_colimit_aux'.equations._eqn_1 0.002279 s: _private.4015951977.encodable_zero._match_1 0.000058 s: encodable.empty._proof_1 0.000058 s: encodable.empty 0.000273 s: _private.4015951977.encodable_zero._proof_1 0.000253 s: _private.4015951977.encodable_zero 0.000384 s: is_cyclic.dcases_on 0.000263 s: tactic.ring2.csring_expr.eval.equations._eqn_2 0.000398 s: filter.is_countable_basis.drec 0.001342 s: add_equiv.congr_arg 0.074261 s: has_deriv_at_filter.prod 0.008887 s: has_deriv_within_at.prod 0.003849 s: pgame.list_short_nth_le._main.equations._eqn_2 0.000895 s: pgame.list_short_nth_le.equations._eqn_2 0.000201 s: parser.step.decorate_error.equations._eqn_1 0.000054 s: tactic.unfold_config.constructor_eq._default.equations._eqn_1 0.002223 s: asymptotics.is_O_with.of_const_mul_right 0.002302 s: library_note._2528492262 0.000210 s: complex.sinh_of_real_im 0.012181 s: real.cosh_add 0.000118 s: uniform_space.completion.has_norm 0.093415 s: uniform_space.completion.norm_coe 0.000117 s: inhabited_uniform_space_core 0.000207 s: monoid_with_zero_hom.has_coe_to_zero_hom 0.000706 s: monoid_with_zero_hom.coe_eq_to_zero_hom 0.000214 s: TopCommRing.has_coe_to_sort.equations._eqn_1 0.000098 s: monoid_hom.inhabited 0.016832 s: category_theory.regular_mono.mk.inj 0.004359 s: category_theory.regular_mono.mk.inj_arrow 0.002550 s: mdifferentiable.differentiable 0.019121 s: infi_sup_eq 0.000685 s: partial_order_of_SO._match_1.equations._eqn_1 0.069416 s: complex.conj_bit1 0.000336 s: category_theory.limits.inhabited_image_factorisation 0.000442 s: category_theory.limits.inhabited_image_factorisation.equations._eqn_1 0.000049 s: congr_arg_kind.cast.sizeof_spec 0.000706 s: preorder_hom.prod.snd_to_fun 0.000883 s: pos_num.land._main.equations._eqn_6 0.000151 s: pos_num.land.equations._eqn_6 0.043768 s: mul_equiv.prod_units._match_1.equations._eqn_1 0.000373 s: lt_add_of_lt_of_nonneg' 0.008196 s: times_cont_mdiff_on_const 0.002535 s: smooth_on_const 0.181962 s: hyperreal.neg_lt_of_tendsto_zero_of_pos 0.041734 s: hyperreal.infinitesimal_of_tendsto_zero 0.000125 s: hyperreal.infinitesimal_epsilon 0.003334 s: hyperreal.infinite_omega 0.002411 s: ordinal.dvd_antisymm 0.005325 s: filter.tendsto_at_bot_embedding 0.005285 s: gcd_dvd_gcd_mul_left_right 0.000720 s: functor.map_equiv_symm_apply 0.045528 s: ring_hom.finite_type.comp 0.010513 s: finset.case_strong_induction_on 0.040373 s: measure_theory.measure.haar_measure_self 0.009420 s: measure_theory.measure_mul_measure_eq 0.024682 s: measure_theory.measure.haar_measure_unique 0.039588 s: measurable_space.map_infi 0.002129 s: add_con.add_comm_monoid.equations._eqn_1 0.009692 s: invertible.subsingleton._match_1 0.000403 s: invertible.subsingleton._match_2 0.000139 s: invertible.subsingleton 0.000150 s: invertible.subsingleton.equations._eqn_1 0.012619 s: real.angle.coe_nat_mul_eq_nsmul 0.011812 s: adjoin_one.equations._eqn_1 0.007517 s: lie_submodule.map.equations._eqn_1 0.003255 s: pregroupoid.mk.inj_eq 0.002129 s: category_theory.liftable_cocone.rec_on 0.003250 s: add_valuation.top_iff 0.000324 s: ordinal.le._match_10.equations._eqn_1 0.001271 s: alternating_group.unique._match_1 0.003889 s: int.to_nat_zero_of_neg 0.006109 s: norm_num.int_to_nat_neg 0.000833 s: writer_t.mk_label._main.equations._eqn_1 0.000087 s: small_ulift 0.000085 s: small_ulift.equations._eqn_1 0.003587 s: TopCommRing.category_theory.concrete_category.equations._eqn_1 0.001556 s: mul_action_hom.comp.equations._eqn_1 0.000077 s: pfunctor.M.corec₁ 0.000199 s: pfunctor.M.corec' 0.000266 s: algebraic_geometry.Spec.PresheafedSpace.equations._eqn_1 0.008853 s: ring_equiv.to_Ring_iso._proof_1 0.009546 s: ring_equiv.to_Ring_iso._proof_2 0.003666 s: ring_equiv.to_Ring_iso 0.022703 s: Ring.forget_reflects_isos 0.018930 s: Ring.forget_reflects_isos.equations._eqn_1 0.000140 s: padic_norm.padic_norm_p_lt_one_of_prime 0.008446 s: monoid_algebra.single_one_ring_hom.equations._eqn_1 0.001094 s: set.add_mem_Ico_iff_left 0.030456 s: tensor_algebra.ι_inv 0.006098 s: matrix.dot_product_std_basis_one 0.001862 s: mul_le_of_le_one_left 0.000494 s: mul_lt_one_of_nonneg_of_lt_one_right 0.000100 s: 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ordnode.amem 0.000358 s: ordnode.amem.decidable 0.000246 s: ordnode.amem.decidable.equations._eqn_1 0.006634 s: uniform_space.separated.prod.equations._eqn_1 0.000484 s: option.decidable_forall_mem.equations._eqn_2 0.004141 s: encodable.equiv_range_encode._match_1.equations._eqn_1 0.004435 s: simplex_category.skeletal_functor._proof_1 0.031012 s: simplex_category.skeletal_functor._proof_2 0.023122 s: simplex_category.skeletal_functor 0.000209 s: simplex_category.ext 0.000704 s: NonemptyFinLinOrd.concrete_category 0.006286 s: simplex_category.skeletal 0.005700 s: simplex_category.skeletal_functor.category_theory.full._proof_1 0.028227 s: simplex_category.skeletal_functor.category_theory.full._proof_2 0.011262 s: simplex_category.skeletal_functor.category_theory.full 0.003748 s: simplex_category.skeletal_functor.category_theory.faithful 0.061282 s: simplex_category.skeletal_functor.category_theory.ess_surj 0.000447 s: simplex_category.skeletal_functor.is_equivalence 0.000254 s: simplex_category.is_skeleton_of 0.000160 s: simplex_category.is_skeleton_of.equations._eqn_1 0.000018 s: false.cases_on 0.008405 s: cau_seq.lim_zero_sub_rev 0.000184 s: num.nat_size._main.equations._eqn_2 0.000585 s: category_theory.sigma.sigma_hom.id._main.equations._eqn_1 0.000284 s: category_theory.sigma.sigma_hom.id.equations._eqn_1 0.000050 s: Ring.inhabited 0.050486 s: dim_range_le 0.095131 s: dim_map_le 0.063267 s: rank_comp_le2 0.012329 s: dvd_of_one_le_padic_val_nat 0.000077 s: unsigned.has_div 0.007116 s: ring_quot.lift_mk_ring_hom_apply 0.003423 s: ring_quot.lift_unique 0.010594 s: dfinsupp.support_sum 0.000454 s: equiv.subtype_subtype_equiv_subtype.equations._eqn_1 0.005666 s: category_theory.limits.bicone.to_binary_bicone_is_limit.equations._eqn_1 0.002540 s: power_series.trunc_one 0.001499 s: ring_equiv.to_equiv_commutes 0.000172 s: set.has_singleton.equations._eqn_1 0.001026 s: nat.factors._main._pack.equations._eqn_1 0.000069 s: nat.factors._main.equations._eqn_1 0.011844 s: associates.dvd_not_unit_of_lt 0.003036 s: wf_dvd_monoid.well_founded_associates 0.001174 s: cont_t.is_lawful_monad_cont._proof_2 0.000272 s: cont_t.is_lawful_monad_cont._proof_3 0.000458 s: cont_t.is_lawful_monad_cont 0.000626 s: cont_t.is_lawful_monad_cont.equations._eqn_1 0.000081 s: zsqrtd.of_int.equations._eqn_1 0.016896 s: max_le_mul_of_one_le 0.010994 s: free_group.map.unique 0.001320 s: free_group.map_eq_lift 0.000548 s: add_magma.free_add_semigroup.map 0.000585 s: add_magma.free_add_semigroup.map.equations._eqn_1 0.157689 s: deriv.lhopital_zero_at_top_on_Ioi 0.018530 s: nat.even_add' 0.013203 s: finsupp.map_range.linear_map_comp 0.000151 s: d_array.rec_on 0.003193 s: dfinsupp.support_filter 0.021124 s: ring.fractional_ideal.ext_iff 0.087141 s: is_R_or_C.conj_lm_coe 0.099359 s: is_R_or_C.conj_li._proof_1 0.103256 s: is_R_or_C.conj_li 0.094885 s: is_R_or_C.conj_clm 0.000288 s: sum.get_left._main.equations._eqn_1 0.000091 s: sum.get_left.equations._eqn_1 0.000052 s: io.process.spawn_args.stderr._default 0.000025 s: io.process.spawn_args.stderr._default.equations._eqn_1 0.013957 s: pnat.coprime.mul_right 0.000097 s: int.lt_of_sub_one_le 0.012924 s: opposite.semimodule.equations._eqn_1 0.000048 s: rat.has_sizeof_inst 0.000091 s: tactic.ring_exp.coeff.sizeof 0.000013 s: tactic.ring_exp.coeff.has_sizeof_inst 0.000560 s: free_magma.rec_on'' 0.000837 s: free_magma.mul_map_seq 0.003188 s: free_magma.is_lawful_traversable._proof_4 0.002337 s: parser.bounded.decorate_errors_iff 0.000103 s: parser.bounded.decorate_error_iff 0.000124 s: list.chain'._main.equations._eqn_1 0.000945 s: list.ilast'._main.equations._eqn_2 0.003039 s: homological_complex.homology_obj 0.074876 s: dist_homothety_center 0.107043 s: dist_homothety_self 0.018429 s: finsupp.map_domain.add_monoid_hom_comp 0.000386 s: continuous_map.coev.equations._eqn_1 0.000732 s: list.repr._main.equations._eqn_2 0.001124 s: polynomial.gal.restrict_comp 0.004573 s: category_theory.adjunction.core_hom_equiv.mk.sizeof_spec 0.000064 s: prime_multiset.has_repr.equations._eqn_1 0.000140 s: list.split._sunfold 0.001886 s: ring_hom.coe_srange_restrict 0.007990 s: adjunction.unop_adjoint_of_op_adjoint 0.001714 s: except_t.run_monad_map 0.000226 s: one_one_reducible.equations._eqn_1 0.066519 s: discrete_valuation_ring.associated_pow_irreducible 0.022533 s: multiplicity.add_valuation_apply 0.000771 s: multiplicity.eq_of_associated_right 0.003903 s: multiplicity.multiplicity_pow_self_of_prime 0.049117 s: discrete_valuation_ring.add_val_def 0.004915 s: discrete_valuation_ring.add_val_def' 0.024766 s: discrete_valuation_ring.add_val_eq_top_iff 0.056061 s: discrete_valuation_ring.add_val_le_iff_dvd 0.000190 s: Set.has_singleton.equations._eqn_1 0.008298 s: Mon_.hom.mk.inj_eq 0.001632 s: bit0_mul 0.002049 s: bit1_mul 0.000387 s: lazy_list.join._main.equations._eqn_1 0.000066 s: vm_obj_kind.tactic_state.inj 0.000063 s: vm_obj_kind.tactic_state.inj_eq 0.004918 s: canonically_ordered_add_monoid.cases_on 0.000231 s: roption.bind_defined 0.025697 s: polynomial.dickson_two_zero 0.016561 s: category_theory.monad.monadicity_internal.left_adjoint_comparison.equations._eqn_1 0.000499 s: option_t.mk_label._main.equations._eqn_1 0.000087 s: tactic.ring_exp.coeff.mk.inj_arrow 0.000235 s: tactic.ring_exp.coeff.decidable_eq 0.005990 s: polynomial.map_ring_hom.equations._eqn_1 0.001037 s: category_theory.monad.forget_creates_colimits.equations._eqn_1 0.001867 s: quotient_group.lift_mk' 0.001324 s: set.Iic.semilattice_inf.equations._eqn_1 0.001440 s: category_theory.functor.flip_obj_obj 0.000291 s: set.inj_on.mono 0.000109 s: list.mem._sunfold 0.000961 s: is_smul_regular.subsingleton 0.000324 s: is_smul_regular.zero_iff_subsingleton 0.000612 s: mem_nhds_within_Iio_iff_exists_Ioo_subset 0.081210 s: has_deriv_at.lhopital_zero_nhds_left 0.083010 s: deriv.lhopital_zero_nhds_left 0.005759 s: filter.eventually_sup 0.083283 s: deriv.lhopital_zero_nhds' 0.082671 s: deriv.lhopital_zero_nhds 0.000286 s: sum.bitraverse._sunfold 0.011938 s: category_theory.monoidal.Mon_functor_category_equivalence.equations._eqn_1 0.000493 s: add_monoid_hom.of_map_sub 0.002323 s: add_monoid_hom.coe_of_map_sub 0.004714 s: filter.is_bounded_sup 0.001412 s: subsemiring.coe_bot 0.001294 s: free_semigroup_free_magma_mul 0.003368 s: category_theory.limits.complete_lattice.colimit_iso_supr_hom 0.002344 s: is_alg_closure.drec 0.001373 s: subgroup.of_div._match_1 0.000597 s: filter.tendsto.basis_both 0.001589 s: category_theory.subobject.bot_eq_zero 0.000120 s: nat.nontrivial.equations._eqn_1 0.002292 s: is_lawful_bitraversable.no_confusion 0.002923 s: is_lawful_bitraversable.mk.inj 0.000169 s: nat.add_mod_left 0.000132 s: free_add_magma.has_add.equations._eqn_1 0.035319 s: pow_four_add_four_mul_pow_four' 0.007476 s: linear_ordered_semiring.decidable_eq._default 0.000566 s: rel_iso.no_confusion_type 0.000906 s: rel_iso.no_confusion 0.001260 s: option.bind_eq_none' 0.000679 s: option.bind_eq_none 0.002064 s: option.join_ne_none' 0.006691 s: neg_of_mul_neg_left 0.000071 s: slim_check.add_shrinks.equations._eqn_2 0.000064 s: equiv.nat_sum_punit_equiv_nat 0.014849 s: category_theory.limits.is_limit.of_cone_equiv_symm_apply_desc 0.000804 s: set.insert_inter 0.039936 s: lt_of_neg_of_one_div_lt_one_div 0.003432 s: category_theory.limits.limit_bicone.mk.inj 0.000513 s: CommRing.colimits.has_colimits_CommRing.equations._eqn_1 0.077847 s: intermediate_field.subsingleton_of_findim_adjoin_eq_one 0.011446 s: category_theory.well_powered.cases_on 0.001107 s: list.mfirst._main.equations._eqn_2 0.000816 s: monad_functor.mk.sizeof_spec 0.000206 s: hash_map.inhabited 0.000131 s: hash_map.inhabited.equations._eqn_1 0.002545 s: add_monoid_hom.semimodule._proof_2 0.002825 s: add_monoid_hom.semimodule 0.002647 s: add_monoid_hom.semimodule.equations._eqn_1 0.000246 s: ordnode.find_le._match_1.equations._eqn_3 0.001971 s: category_theory.quotient.comp_closure.drec_on 0.000876 s: buffer.foldl._main.equations._eqn_1 0.000685 s: slim_check.fin.sampleable.equations._eqn_1 0.002615 s: add_subgroup.of_sub._match_1 0.001751 s: add_subgroup.of_sub 0.000786 s: algebraic_geometry.PresheafedSpace.mk_coe 0.000366 s: rbmap.mem 0.000211 s: rbmap.mem.equations._eqn_1 0.006478 s: division_ring_of_is_unit_or_eq_zero._proof_8 0.180051 s: filter.binfi_sup_left 0.000338 s: rbnode.ins.equations._eqn_2 0.000075 s: string.iterator.next_to_string._sunfold 0.000308 s: semi_normed_group.sizeof 0.006852 s: semi_normed_group.mk.sizeof_spec 0.007043 s: lie_add_group.drec 0.000023 s: tactic.decl_reducibility.reducible.inj 0.011921 s: countable_Inter_filter_sup 0.000058 s: computability.Γ'.comma.inj_arrow 0.000176 s: category_theory.full.has_sizeof_inst 0.000571 s: category_theory.reflective.sizeof 0.002883 s: category_theory.reflective.mk.sizeof_spec 0.008112 s: normed_field.nnnorm_pow 0.011610 s: category_theory.frobenius_morphism_iso_of_preserves_binary_products 0.003822 s: category_theory.cartesian_closed_functor_of_left_adjoint_preserves_binary_products._proof_1 0.000072 s: category_theory.pairwise.hom.id_pair.inj 0.997866 s: rat.uniform_continuous_abs 0.000540 s: order_topology.dcases_on 0.003106 s: semiconj_by.neg_one_right 0.010958 s: set.preimage_const_mul_Icc_of_neg 0.005436 s: euclidean_domain.div_self 0.000027 s: mk_simple_name 0.000030 s: string_to_name 0.000036 s: string_to_name.equations._eqn_1 0.000641 s: mv_polynomial.decidable_restrict_degree._proof_1 0.000149 s: multiset.fold.equations._eqn_1 0.000221 s: tactic.itauto.prop.imp.sizeof_spec 0.000238 s: category_theory.abelian.category_theory.limits.has_strong_epi_mono_factorisations.equations._eqn_1 0.012571 s: filter.limsup_nat_add 0.002077 s: category_theory.rel._proof_2 0.000080 s: equiv.prod_pempty._match_1 0.000027 s: equiv.prod_pempty._proof_1 0.000061 s: equiv.prod_pempty 0.003431 s: category_theory.limits.cocone_left_op_of_cone.equations._eqn_1 0.003796 s: monoid_with_zero_hom.mk.inj_eq 0.000604 s: bounded_continuous_function.ext_iff 0.001517 s: bounded_continuous_function.forall_coe_zero_iff_zero 0.059574 s: subgroup.gpowers.equations._eqn_1 0.015226 s: measure_theory.measure.quasi_measure_preserving.cases_on 0.036389 s: nat.unique_factorization_monoid.equations._eqn_1 0.000310 s: SemiRing.inhabited.equations._eqn_1 0.005102 s: homeomorph.coe_mul_left 0.251833 s: affine.simplex.monge_plane_comm 0.024604 s: ordinal.lt._match_4.equations._eqn_1 0.000349 s: complex.conj_bijective 0.002007 s: slim_check.add_var_to_counter_example.equations._eqn_1 0.008135 s: semidirect_product.map_left 0.005518 s: smul_pos_iff_of_pos 0.000470 s: add_submonoid.to_ordered_add_comm_monoid._proof_1 0.003541 s: mdifferentiable_at_ext_chart_at 0.015372 s: zmod.char_p.equations._eqn_1 0.000766 s: linarith.comp_source.to_string._main.equations._eqn_1 0.000039 s: linarith.comp_source.to_string.equations._eqn_1 0.000077 s: turing.TM1.stmt.halt.inj 0.000099 s: turing.TM1.stmt.halt.inj_eq 0.000316 s: pequiv.bot_apply 0.003890 s: pequiv.trans_bot 0.004005 s: real.le_arcsin_iff_sin_le 0.001076 s: real.arcsin_lt_iff_lt_sin 0.000362 s: bdd_below.mono 0.000231 s: pfunctor.M_intl.rec_on 0.000253 s: rbnode.ins._match_1.equations._eqn_3 0.012242 s: is_compl.Iic_order_iso_Ici.equations._eqn_1 0.000231 s: function.has_right_inverse.surjective 0.000351 s: uniform_space.complete_lattice._match_2.equations._eqn_1 0.007236 s: linear_map.single.equations._eqn_1 0.006524 s: domain.rec_on 0.028713 s: ring.fractional_ideal.map.equations._eqn_1 0.000149 s: fin.succ._sunfold 0.000053 s: tactic.rewrite_search.side.no_confusion_type 0.006346 s: ring.fractional_ideal.coe_fun_map_equiv 0.006428 s: vector_span_range_eq_span_range_vsub_left_ne 0.001196 s: linear_map.general_linear_group.of_linear_equiv.equations._eqn_1 0.000162 s: nat.borel_space 0.000075 s: nat.borel_space.equations._eqn_1 0.000110 s: state.equations._eqn_1 0.003377 s: category_theory.groupoid.of_is_iso.equations._eqn_1 0.000289 s: abstract_completion.sizeof 0.000092 s: abstract_completion.has_sizeof_inst 0.000267 s: set.eq_on.trans 0.000078 s: sum.has_repr 0.001336 s: fpow_bit0_abs 0.001179 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_12 0.091774 s: pow_div_pow_eventually_eq_at_bot 0.009604 s: linear_map.compatible_smul.mk.inj 0.002646 s: ennreal.mul_lt_mul_left 0.010531 s: ennreal.exists_nat_pos_inv_mul_lt 0.018328 s: ennreal.exists_nnreal_pos_mul_lt 0.012773 s: measure_theory.measure.mk_metric_mono_smul 0.095548 s: measure_theory.measure.hausdorff_measure_zero_or_top 0.046992 s: measure_theory.measure.hausdorff_measure_mono 0.008539 s: semimodule.core.rec_on 0.000180 s: onote.NF.oadd_zero.equations._eqn_1 0.000329 s: generalized_continued_fraction.is_simple_continued_fraction.equations._eqn_1 0.003369 s: zmod.units_equiv_coprime._match_2.equations._eqn_1 0.000565 s: category_theory.functor.empty_ext.equations._eqn_1 0.001012 s: set.neg_mem_Ioc_iff 0.003950 s: int.even_or_odd' 0.002982 s: stone_cech.t2_space.equations._eqn_1 0.000394 s: equiv.to_compl.equations._eqn_1 0.008134 s: category_theory.sigma.desc_uniq_inv_app 0.000287 s: omega.nat.preterm.sub_subst._main.equations._eqn_1 0.000418 s: turing.to_partrec.code.cons.sizeof_spec 0.000119 s: game.equations._eqn_1 0.000562 s: list.scanr_aux._main.equations._eqn_1 0.000342 s: list.scanr_aux.equations._eqn_1 0.001626 s: bilin_form.is_adjoint_pair.eq 0.000637 s: bounded_continuous_function.normed_group.equations._eqn_1 0.001807 s: turing.TM2to1.tr_stmts₁._main.equations._eqn_6 0.000318 s: turing.TM2to1.tr_stmts₁.equations._eqn_6 0.006333 s: qpf.liftp_iff' 0.000939 s: padic.normed_field.equations._eqn_1 0.000069 s: lazy_list.has_repr 0.000539 s: multiset.cons.equations._eqn_1 0.003777 s: locally_constant.comap_const 0.005459 s: category_theory.iso.Magma_iso_to_mul_equiv._proof_2 0.003825 s: category_theory.iso.Magma_iso_to_mul_equiv._proof_3 0.002157 s: category_theory.iso.Magma_iso_to_mul_equiv 0.003829 s: mul_equiv_iso_Magma_iso._proof_2 0.000199 s: quiver.mk.inj 0.001251 s: comm_group_with_zero.div._default.equations._eqn_1 0.004955 s: times_cont_diff_at.mem_to_local_homeomorph_source 0.000127 s: int.to_nat'._main.equations._eqn_2 0.000034 s: int.to_nat'.equations._eqn_2 0.000159 s: is_left_distrib.cases_on 0.003015 s: add_localization.add_equiv_of_quotient_symm_mk' 0.001478 s: add_localization.add_equiv_of_quotient_symm_mk 0.001025 s: ring_equiv.of_left_inverse._proof_2 0.009879 s: ring_equiv.of_left_inverse 0.011141 s: add_subgroup.map_eq_bot_iff_of_injective 0.000221 s: num.mul._main.equations._eqn_4 0.262996 s: ring.fractional_ideal.map_eq_zero_iff 0.108636 s: hyperreal.not_infinite_real 0.000161 s: hyperreal.not_real_of_infinite 0.017379 s: int.preimage_Ioc 0.002818 s: free_algebra.lift_comp_ι 0.017577 s: quotient.fin_choice_eq 0.000159 s: lists'.of_list._sunfold 0.000138 s: lift_base.equations._eqn_1 0.002549 s: has_fpower_series_at.radius_pos 0.002281 s: topological_vector_bundle.drec 0.001606 s: quadratic_form.isometry.sizeof 0.000231 s: int.le_of_neg_le_neg 0.002203 s: int.mul_le_mul_of_nonneg_right 0.000319 s: int.mul_le_mul_of_nonpos_right 0.000097 s: int.mul_nonneg_of_nonpos_of_nonpos 0.000315 s: prod.has_scalar.equations._eqn_1 0.000466 s: omega.ee.cancel.inj 0.000114 s: omega.ee.cancel.inj_arrow 0.123480 s: concave_on_id 0.000162 s: int.neg_neg_of_pos 0.000595 s: category_theory.limits.reflects_colimits_of_shape.rec_on 0.000423 s: category_theory.subobject.iso_of_eq_mk._proof_1 0.030943 s: category_theory.subobject.iso_of_eq_mk._proof_3 0.001763 s: category_theory.subobject.iso_of_eq_mk 0.001334 s: category_theory.subobject.iso_of_eq_mk_inv 0.008242 s: hyperreal.infinite_pos_mul_infinite_neg 0.010063 s: order.pfilter.order_top.equations._eqn_1 0.000067 s: pnat.inhabited 0.000070 s: pnat.inhabited.equations._eqn_1 0.000300 s: equiv.option_equiv_sum_punit._match_2.equations._eqn_1 0.000055 s: tactic.interactive.mono_selection.cases_on 0.000347 s: polynomial.splitting_field.equations._eqn_1 0.000133 s: parser.err_static.cases_on 0.055204 s: linear_map.quotient_inf_equiv_sup_quotient_symm_apply_eq_zero_iff 0.056872 s: linear_map.quotient_inf_equiv_sup_quotient_symm_apply_right 0.000392 s: string.is_nat 0.000352 s: string.is_nat.equations._eqn_1 0.000120 s: int.lor._main.equations._eqn_4 0.000034 s: int.lor.equations._eqn_4 0.010837 s: measure_theory.measure.finite_spanning_sets_in.mk.inj_eq 0.008363 s: linear_isometry_equiv.coe_trans 0.019829 s: order_dual.complete_lattice.equations._eqn_1 0.003734 s: equiv.conj_refl 0.002946 s: pgame.right_moves_of_aux.equations._eqn_1 0.078326 s: measure_theory.integral_dirac' 0.001320 s: finset.mk.sizeof_spec 0.022425 s: set.Ioo_union_Ioo' 0.000261 s: category_theory.category_struct.cases_on 0.000302 s: category_theory.category_struct.no_confusion_type 0.001959 s: ring_hom.comp.equations._eqn_1 0.000231 s: 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0.000485 s: monotone.mul_const' 0.002246 s: multiset.fold_union_inter 0.000164 s: tactic.itauto.prop.rec_on 0.000131 s: tactic.transparency.no_confusion_type 0.000288 s: tactic.transparency.no_confusion 0.002235 s: tactic.transparency.decidable_eq 0.055247 s: ring.fractional_ideal.coe_ideal_span_singleton 0.000071 s: lint_verbosity.rec_on 0.008585 s: add_submonoid.localization_map.ext_iff 0.000121 s: function.is_fixed_pt.equations._eqn_1 0.000227 s: free_add_semigroup.lift'.equations._eqn_2 0.007825 s: submodule.closure_smul_self_eq 0.000880 s: quiver.path.comp._main.equations._eqn_1 0.000102 s: is_well_order.is_strict_total_order 0.001017 s: filter.tendsto_pure_left 0.003570 s: list.tendsto_prod 0.000257 s: list.continuous_prod 0.003269 s: category_theory.action_category.hom_of_pair.equations._eqn_1 0.000065 s: AddCommMon.equations._eqn_1 0.001086 s: Module.category_theory.monoidal_category.tensor_unit.comm_ring.equations._eqn_1 0.000255 s: is_adic_complete.of_subsingleton 0.000293 s: 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s: omega.nat.preform.fresh_index.equations._eqn_4 0.018802 s: category_theory.triangulated.rot_comp_inv_rot_hom_app_hom₁ 0.013446 s: nhds_eq_nhds_emetric_ball 0.059808 s: category_theory.counit_is_iso_of_R_fully_faithful.equations._eqn_1 0.012255 s: pi.is_scalar_tower' 0.068488 s: order_dual.complete_distrib_lattice.equations._eqn_1 0.000067 s: slim_check.no_shrink.equations._eqn_1 0.001058 s: category_theory.Cat.objects._proof_1 0.000892 s: category_theory.Cat.objects._proof_2 0.002075 s: category_theory.Cat.objects 0.011789 s: category_theory.Cat.objects.equations._eqn_1 0.008157 s: wseq.lift_rel_append 0.014984 s: measure_theory.measure.one_le_haar_outer_measure_self 0.203354 s: complex.complex_ordered_semimodule 0.000936 s: homeomorph.symm.equations._eqn_1 0.032951 s: add_subgroup.sum_mem 0.006894 s: subring.sum_mem 0.002577 s: decidable.imp_or_distrib 0.000043 s: imp_or_distrib 0.001159 s: category_theory.regular_mono.sizeof 0.002105 s: category_theory.regular_mono.mk.sizeof_spec 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nat.succ_le_succ_sqrt 0.003360 s: semi_normed_algebra.cases_on 0.000535 s: semi_normed_algebra.no_confusion_type 0.000862 s: semi_normed_algebra.no_confusion 0.001039 s: semi_normed_algebra.mk.inj 0.000902 s: semi_normed_algebra.mk.inj_arrow 0.000678 s: inner_product_geometry.norm_add_square_eq_norm_square_add_norm_square_iff_angle_eq_pi_div_two 0.000352 s: inner_product_geometry.norm_add_square_eq_norm_square_add_norm_square' 0.001090 s: function.surjective.sigma_map 0.001092 s: mv_polynomial.mem_homogeneous_submodule 0.013483 s: linear_equiv.arrow_congr.equations._eqn_1 0.005870 s: eq_pth_root_iff 0.001410 s: ordinal.lt._match_3.equations._eqn_1 0.000084 s: linear_ordered_add_comm_monoid.has_sizeof_inst 0.003917 s: category_theory.sum.inverse_associator_map_inr_inl 0.000654 s: ennreal.coe_of_nnreal_hom 0.000755 s: list.lookmap_some 0.000772 s: add_monoid_hom.eq_mlocus.equations._eqn_1 0.000262 s: continuous_groupoid.equations._eqn_1 0.003142 s: filter.germ.comm_monoid.equations._eqn_1 0.000173 s: enat.has_le.equations._eqn_1 0.000624 s: tactic_doc._120113415 0.000403 s: num.one_bits._main.equations._eqn_2 0.000067 s: num.one_bits.equations._eqn_2 0.001771 s: nat.exists_dvd_of_not_prime2 0.000518 s: transcendental.equations._eqn_1 0.005240 s: colex.lt_singleton_iff_mem_lt 0.020633 s: cardinal.sum_lt_prod 0.007545 s: cardinal.lt_power_cof 0.003757 s: cardinal.lt_cof_power 0.000053 s: AddSemigroup.inhabited 0.017313 s: tensor_product.lift_aux._match_1.equations._eqn_1 0.000770 s: add_monoid_hom.coe_eq_to_add_hom 0.010822 s: category_theory.monad_hom.ext_iff 0.000151 s: lex.decidable_eq 0.000202 s: lex.decidable_eq.equations._eqn_1 0.000498 s: is_local_max_on.comp_mono 0.002299 s: slim_check.test_forall_in_list._main.equations._eqn_2 0.001539 s: applicative_transformation.comp.equations._eqn_1 0.003186 s: CommMon_Type_equivalence_CommMon._proof_8 0.105734 s: nat.arithmetic_function.prod_eq_iff_prod_pow_moebius_eq_of_nonzero 0.163550 s: polynomial.cyclotomic_eq_prod_X_pow_sub_one_pow_moebius 0.000513 s: equiv.set.empty._match_1.equations._eqn_1 0.026944 s: tactic_doc._1334994722 0.002167 s: ordinal.type_fin 0.000245 s: set_like.has_coe_to_sort.equations._eqn_1 0.000633 s: dihedral_group.nontrivial 0.000365 s: dihedral_group.nontrivial.equations._eqn_1 0.001832 s: category_theory.limits.cocone.of_pushout_cocone.equations._eqn_1 0.000200 s: self_eq_mul_right 0.000583 s: typevec.diag_sub._main._proof_1 0.003114 s: typevec.diag_sub._main.equations._eqn_1 0.001655 s: typevec.diag_sub.equations._eqn_1 0.000067 s: list.repeat._sunfold 0.001213 s: linear_map.comp_eq_id_comm 0.001994 s: category_theory.functor.map_homological_complex_X 0.003034 s: finset.set_bUnion_union 0.000884 s: category_theory.equivalence.functor_inv 0.002911 s: fin.one_lt_succ_succ 0.000873 s: turing.TM2to1.tr_normal.equations._eqn_3 0.002389 s: list.map₂_right_nil_left 0.000725 s: pos_sum_of_encodable.equations._eqn_1 0.000099 s: int.add_def 0.001166 s: parser.numeral.of_fintype.prog 0.000336 s: omega.int.nnf._main.equations._eqn_2 0.000155 s: dense.nonempty 0.001347 s: turing.TM2to1.Λ'.go.inj 0.004388 s: turing.TM2to1.Λ'.go.inj_eq 0.000264 s: sequential_space.drec_on 0.000822 s: ordered_comm_ring.sub._default 0.000896 s: ordered_comm_ring.sub._default.equations._eqn_1 0.000910 s: list.permutations_aux2._main.equations._eqn_2 0.000651 s: list.permutations_aux2.equations._eqn_2 0.000168 s: pnat.xgcd_type.flip_b 0.000052 s: norm_cast.label.elim.sizeof_spec 0.050713 s: lie_submodule.incl_apply 0.010278 s: category_theory.subobject.semilattice_sup.equations._eqn_1 0.000378 s: classical.type_decidable._match_1.equations._eqn_2 0.005369 s: equiv.mul_left_symm_apply 0.005042 s: generalized_continued_fraction.of_correctness_at_top_of_terminates 0.011856 s: set.Iic.lattice.equations._eqn_1 0.000175 s: nat.digits_zero_succ 0.001568 s: category_theory.limits.is_limit_of_preserves.equations._eqn_1 0.013742 s: category_theory.monoidal.lax_from_transported.equations._eqn_1 0.004834 s: ideal.gi_map_comap.equations._eqn_1 0.000098 s: ordered_comm_ring.lt._default 0.000116 s: ordered_comm_ring.lt._default.equations._eqn_1 0.000992 s: tc.drec_on 0.000797 s: nat.modeq.chinese_remainder'.equations._eqn_1 0.005082 s: Module.cokernel_iso_range_quotient.equations._eqn_1 0.000078 s: fact.dcases_on 0.000152 s: vector.traverse._main._proof_1 0.000242 s: pgame.domineering.L.equations._eqn_1 0.013080 s: free_abelian_group.ring.equations._eqn_1 0.000336 s: option.pbind._sunfold 0.000230 s: category_theory.sum.associator._match_1.equations._eqn_3 0.004539 s: equiv.subtype_equiv.equations._eqn_1 0.002048 s: category_theory.exp_adjunction_counit 0.000142 s: computation.has_mem.equations._eqn_1 0.005461 s: filter.realizer.cofinite._proof_3 0.008863 s: module.End.has_generalized_eigenvalue_of_has_generalized_eigenvalue_of_le 0.136894 s: measure_theory.integral_eq_zero_iff_of_nonneg 0.044999 s: roption.fix_le 0.011258 s: category_theory.limits.is_kernel.iso_kernel.equations._eqn_1 0.000481 s: list.decidable_infix._match_2.equations._eqn_1 0.003061 s: int.norm_cast_real 0.005162 s: int.norm_one_class 0.003545 s: int.norm_one_class.equations._eqn_1 0.000082 s: rbtree.has_mem 0.002513 s: category_theory.monoidal_adjoint_ε 0.000324 s: tactic_doc._4136227843 0.008254 s: uniform_space.has_top.equations._eqn_1 0.000305 s: linear_map.has_one.equations._eqn_1 0.001998 s: group_with_zero.sizeof 0.000068 s: option.cases_on'._sunfold 0.000515 s: omega_complete_partial_order.continuous_hom.rec_on 0.006461 s: ordnode.bounded.of_lt 0.001513 s: continuous_linear_map.unique_of_right.equations._eqn_1 0.002120 s: category_theory.abelian.pseudoelement.over_coe_def 0.000730 s: prod.lex.is_well_order._match_1.equations._eqn_2 0.000247 s: comm_monoid.npow._default.equations._eqn_1 0.000856 s: multiset.antidiagonal.equations._eqn_1 0.001529 s: set.embedding_of_subset._match_2.equations._eqn_1 0.000103 s: is_symm.cases_on 0.001108 s: set.mul_indicator_congr 0.001175 s: set.mul_indicator_mul_eq_right 0.010238 s: int.neg_succ_of_nat_mod 0.002982 s: closed_ball_prod_same 0.000856 s: measurable_space.mk.inj_arrow 0.000580 s: lt_mul_of_lt_of_one_le 0.001334 s: set.indicator_mul 0.010325 s: nnreal.comm_semiring.equations._eqn_1 0.002644 s: category_theory.unique_extension_along_yoneda.equations._eqn_1 0.001535 s: rbnode.min._main.equations._eqn_4 0.000161 s: rbnode.min.equations._eqn_4 0.000181 s: free_algebra.pre.has_one.equations._eqn_1 0.000314 s: add_units.no_confusion_type 0.000566 s: add_units.no_confusion 0.000578 s: add_units.mk.inj 0.000398 s: add_units.mk.inj_arrow 0.000965 s: set.image_add_const_Ioo 0.000185 s: prod.has_neg.equations._eqn_1 0.000600 s: list.foldl_rec_on_nil 0.000095 s: zsqrtd.semiring.equations._eqn_1 0.000384 s: pi.mul_one_class.equations._eqn_1 0.007145 s: quadratic_eq_zero_iff_of_discrim_eq_zero 0.008292 s: category_theory.limits.cones.postcompose_comp.equations._eqn_1 0.002674 s: order_closed_topology.to_t2_space._match_2.equations._eqn_1 0.023218 s: hyperreal.is_st_le_of_le 0.002595 s: local_homeomorph.subtype_restr.equations._eqn_1 0.001552 s: AddCommGroup.cokernel_iso_quotient._proof_4 0.002565 s: category_theory.limits.equalizer_subobject_arrow_comp 0.000183 s: euclidean_quadrant.equations._eqn_1 0.001688 s: initial_seg.coe_coe_fn 0.004980 s: associates.factors_one 0.006921 s: associates.pow_factors 0.006535 s: associates.is_pow_of_dvd_count 0.002087 s: associates.count_zero 0.021884 s: associates.count_pow 0.007022 s: associates.dvd_count_pow 0.006566 s: associates.eq_pow_of_mul_eq_pow 0.073690 s: linear_ordered_field.to_densely_ordered.equations._eqn_1 0.007207 s: is_absolute_value.cases_on 0.002397 s: archimedean.dcases_on 0.013860 s: complex.sub_conj 0.006418 s: pi.left_cancel_monoid._proof_2 0.000951 s: ring_hom.map_finsupp_sum 0.063331 s: is_R_or_C.of_real_finsupp_sum 0.006700 s: has_continuous_mul.has_measurable_mul₂.equations._eqn_1 0.006024 s: open_subgroup.mem_comap 0.000116 s: topological_space.positive_compacts.equations._eqn_1 0.001796 s: filter.germ.semilattice_sup_top._proof_3 0.001140 s: semiquot.pure_le 0.002097 s: category_theory.is_kernel_pair.lift' 0.001669 s: category_theory.is_kernel_pair.lift'.equations._eqn_1 0.007649 s: distrib_lattice.mk.inj_arrow 0.001979 s: add_comm_group.direct_limit.equations._eqn_1 0.001883 s: affine_subspace.mk'.equations._eqn_1 0.001191 s: pi.smul_comm_class 0.011584 s: ess_inf_mono_ae 0.000806 s: slim_check.exists_testable.equations._eqn_1 0.000197 s: right_ord_continuous.equations._eqn_1 0.000230 s: order.ideal.is_proper.rec_on 0.012897 s: semidirect_product.map_inl 0.007392 s: semidirect_product.map_comp_inl 0.004164 s: category_theory.limits.cones.postcompose_map_hom 0.000483 s: set.mem_one 0.000211 s: no_top_order.cases_on 0.000107 s: pnat.gcd_one 0.001073 s: list.decidable_suffix._main._proof_2 0.000469 s: list.decidable_suffix._main.equations._eqn_2 0.000124 s: list.decidable_suffix.equations._eqn_2 0.000552 s: composition.embedding.equations._eqn_1 0.005580 s: subgroup.multiset_prod_mem 0.000486 s: pequiv.semilattice_inf_bot._proof_3 0.001362 s: metric.nonempty_compacts.metric_space.equations._eqn_1 0.000558 s: category_theory.limits.walking_parallel_pair_hom.comp._main.equations._eqn_2 0.001302 s: functor.add_const.applicative.equations._eqn_1 0.005365 s: measure_theory.ae_eq_fun.integrable.smul 0.001977 s: submodule.to_sub_mul_action_injective 0.000777 s: submodule.to_sub_mul_action_eq 0.000830 s: inner_product_space.of_core.norm_sq.equations._eqn_1 0.001317 s: category_theory.limits.is_image.self.equations._eqn_1 0.000706 s: real.exp_monotone 0.012829 s: category_theory.monad.free.equations._eqn_1 0.004429 s: star_ordered_ring.rec_on 0.001033 s: finset.union_val_nd 0.001276 s: Mod.forget._proof_1 0.000524 s: d_array.rev_iterate_aux._main.equations._eqn_1 0.000136 s: d_array.rev_iterate_aux.equations._eqn_1 0.003409 s: finset.image_inter 0.000272 s: computation.lift_rel.equations._eqn_1 0.012806 s: matrix.to_linear_equiv_apply 0.000060 s: io.proc.wait 0.002868 s: subsemiring.to_subring.equations._eqn_1 0.001149 s: right_coset_one 0.003788 s: category_theory.monoidal.CommMon_functor_category_equivalence_counit_iso 0.002583 s: polynomial.coeff_monomial_mul 0.000057 s: tactic.decl_reducibility.reducible.sizeof_spec 0.000155 s: strict_weak_order.esymm 0.000215 s: d_array.mk.inj_arrow 0.000336 s: Ico_mem_nhds_within_Ioi 0.002793 s: hahn_series.is_scalar_tower.equations._eqn_1 0.010200 s: AddCommGroup.forget_reflects_isos 0.012089 s: AddCommGroup.forget_reflects_isos.equations._eqn_1 0.000796 s: mul_equiv.self_comp_symm 0.000685 s: wseq.filter_map._match_1.equations._eqn_3 0.000491 s: locally_constant.add_zero_class.equations._eqn_1 0.004044 s: submodule.comap_snd 0.017879 s: polynomial.reflect_neg 0.004037 s: polynomial.reflect_sub 0.000577 s: lawful_fix.no_confusion_type 0.000503 s: lawful_fix.no_confusion 0.000598 s: lawful_fix.mk.inj 0.000616 s: lawful_fix.mk.inj_arrow 0.002096 s: list.foldr_eq_of_comm' 0.000659 s: monotone.mul_strict_mono' 0.000414 s: strict_mono.const_mul' 0.003597 s: is_lawful_bitraversable.flip._proof_4 0.132361 s: types.mono_over_equivalence_set.equations._eqn_1 0.002366 s: mul_action_hom.to_quotient.equations._eqn_1 0.000688 s: quotient.congr.equations._eqn_1 0.001729 s: lazy_list.mem.decidable.equations._eqn_2 0.000304 s: subfield.to_linear_ordered_field._proof_2 0.000754 s: subfield.to_linear_ordered_field._proof_4 0.000613 s: subfield.to_linear_ordered_field._proof_6 0.000436 s: subfield.to_linear_ordered_field._proof_7 0.010202 s: subfield.to_linear_ordered_field._proof_8 0.000509 s: subfield.to_linear_ordered_field._proof_10 0.051480 s: subfield.to_linear_ordered_field 0.005411 s: normal_subgroup.dcases_on 0.001133 s: subsemiring.range_fst 0.000628 s: mvpfunctor.comp.equations._eqn_1 0.000764 s: slim_check.slim_check_cfg.mk.inj_arrow 0.076970 s: affine.simplex.eq_circumradius_of_dist_eq 0.014238 s: affine_span_insert_eq_affine_span 0.068910 s: euclidean_geometry.orthocentric_system.affine_independent 0.339481 s: euclidean_geometry.affine_span_of_orthocentric_system 0.082938 s: euclidean_geometry.orthocentric_system.exists_circumradius_eq 0.015263 s: formal_multilinear_series.id._main.equations._eqn_3 0.003269 s: formal_multilinear_series.id.equations._eqn_3 0.009503 s: category_theory.kleisli.adjunction.to_kleisli_comp_from_kleisli_iso_self._proof_1 0.009599 s: linear_map.of_is_compl_prod_equiv._proof_2 0.009540 s: linear_map.of_is_compl_prod_equiv._proof_3 0.012679 s: linear_map.of_is_compl_prod_equiv._proof_4 0.006482 s: linear_map.of_is_compl_prod_equiv._proof_7 0.005625 s: linear_map.of_is_compl_prod_equiv._proof_8 0.017235 s: linear_map.of_is_compl_prod_equiv._proof_9 0.012734 s: linear_map.of_is_compl_prod_equiv 0.210018 s: hyperreal.is_st_add 0.022736 s: hyperreal.infinitesimal_add 0.002338 s: is_coprime.prod_right_iff 0.000239 s: is_coprime.of_prod_right 0.038984 s: tensor_product.lift.equiv_symm_apply 0.008051 s: category_theory.mono_over.mk'_coe 0.000077 s: format.color.orange.sizeof_spec 0.001992 s: flow.reverse.equations._eqn_1 0.005846 s: Mon_Type_equivalence_Mon_forget._proof_1 0.006213 s: Mon_Type_equivalence_Mon_forget 0.000246 s: sSet.truncated.has_limits 0.000627 s: category_theory.functor.to_ess_image.ess_surj 0.000605 s: pfun.preimage_inter 0.000103 s: trace.equations._eqn_1 0.001331 s: derive_fintype.finset_above.mem_cons_of_mem 0.000408 s: quiver.total.mk.inj_arrow 0.003736 s: quiver.total.ext_iff 0.002100 s: equiv.mul_right_symm_apply 0.000759 s: category_theory.limits.is_limit_of_has_terminal_of_preserves_limit.equations._eqn_1 0.000832 s: abs_fpow_bit0 0.000848 s: quotient_add_group.right_rel_decidable.equations._eqn_1 0.000347 s: filter.lift'_top 0.000335 s: set.powerset_univ 0.337700 s: filter.lift'_infi_powerset 0.004951 s: filter.tendsto_lift 0.001048 s: filter.tendsto_lift' 0.016332 s: tendsto_Icc_class_nhds_pi 0.075346 s: is_precomplete.rec_on 0.000427 s: polynomial.splitting_field_aux.inhabited 0.024288 s: polynomial.as_sum_range' 0.144018 s: polynomial.degree_lt_equiv._proof_4 0.021584 s: nat.partrec'.part_iff₁ 0.005024 s: Module.of_self_iso_inv 0.000419 s: reader_t.monad_run.equations._eqn_1 0.000174 s: traversable.length 0.003541 s: category_theory.center.hom.rec_on 0.000344 s: finset.has_mul.equations._eqn_1 0.000118 s: nonneg_add_comm_group.pos._default.equations._eqn_1 0.012048 s: min_mul_mul_left 0.029433 s: min_inv_inv' 0.020154 s: min_div_div_left' 0.000558 s: category_theory.comonad.coalgebra.id_eq_id 0.000411 s: name.last_string._main.equations._eqn_1 0.332097 s: ideal.integral_closure.eq_bot_of_comap_eq_bot 0.000378 s: list.has_decidable_le 0.000337 s: list.has_decidable_le.equations._eqn_1 0.000314 s: asymptotics.is_o.bound 0.007730 s: emetric.ball_disjoint 0.021184 s: emetric.is_closed_ball_top 0.000307 s: category_theory.closed.rec_on 0.005588 s: algebraic_geometry.SheafedSpace.Γ_obj 0.000109 s: equiv.subtype_subtype_equiv_subtype_exists._match_2._proof_1 0.000248 s: has_continuous_mul.cases_on 0.002146 s: monoid_hom.snd_comp_inl 0.039626 s: localization.ring_equiv_of_quotient_apply 0.000402 s: filter.germ.ordered_cancel_comm_monoid._proof_2 0.001064 s: equiv.perm.one_trans 0.000230 s: pfun.map.equations._eqn_1 0.000077 s: ordnode.equiv 0.000230 s: convex_cone.flat 0.000428 s: free_semigroup.lift'._main.equations._eqn_1 0.000142 s: free_semigroup.lift'.equations._eqn_1 0.000459 s: connected_component_in 0.000552 s: connected_component_in.equations._eqn_1 0.000354 s: mv_power_series.local_ring 0.000296 s: mv_power_series.local_ring.equations._eqn_1 0.037624 s: matrix.to_bilin_symm 0.000280 s: Mod.inhabited 0.001315 s: alist.empty_union 0.007706 s: finmap.empty_union 0.000159 s: not_is_left_regular_zero 0.071870 s: linear_independent_of_ne_zero_of_inner_eq_zero 0.001242 s: set.Ici.semilattice_sup_bot._proof_8 0.045175 s: has_strict_deriv_at.local_inverse.equations._eqn_1 0.001437 s: category_theory.monad.algebra_equiv_of_iso_monads_functor 0.000413 s: list.init._main.equations._eqn_1 0.000090 s: list.init.equations._eqn_1 0.001438 s: dlex_partial_order.equations._eqn_1 0.012920 s: canonically_ordered_monoid.cases_on 0.003678 s: canonically_ordered_monoid.no_confusion_type 0.002476 s: canonically_ordered_monoid.no_confusion 0.008894 s: canonically_ordered_monoid.mk.inj 0.000163 s: category_theory.with_terminal.rec_on 0.001657 s: list.perm.dcases_on 0.000702 s: times_cont_diff_on_of_subsingleton 0.000275 s: homeomorph.mul_left'._proof_4 0.000988 s: homeomorph.mul_left' 0.000392 s: ideal.of_rel.equations._eqn_1 0.001093 s: nat.strong_rec_on.equations._eqn_1 0.000420 s: one_lt_inv_of_inv 0.000358 s: inv_inv_of_one_lt 0.017851 s: eq_one_of_inv_eq' 0.000328 s: monad_io.no_confusion_type 0.000133 s: is_strict_weak_order.cases_on 0.007254 s: alist.insert_insert_of_ne 0.003304 s: finmap.insert_insert_of_ne 0.003499 s: ordnode.of_asc_list_aux₂._main._pack.equations._eqn_1 0.000145 s: ordnode.of_asc_list_aux₂._main.equations._eqn_1 0.000075 s: ordnode.of_asc_list_aux₂.equations._eqn_1 0.002487 s: ordered_semimodule.dcases_on 0.000389 s: subtype.semilattice_inf_top._proof_2 0.000450 s: subtype.semilattice_inf_top._proof_3 0.000480 s: subtype.semilattice_inf_top._proof_4 0.000259 s: subtype.semilattice_inf_top._proof_5 0.000718 s: subtype.semilattice_inf_top._proof_8 0.005986 s: subtype.semilattice_inf_top 0.002400 s: mem_uniform_prod 0.000733 s: add_subgroup.has_sub.equations._eqn_1 0.000649 s: turing.pointed_map.mk.inj 0.001381 s: list.map₂_left_nil_right 0.004842 s: alg_equiv.trans.equations._eqn_1 0.001122 s: submodule.has_neg.equations._eqn_1 0.000968 s: with_one.lift_one 0.002220 s: topological_space.opens.charted_space.equations._eqn_1 0.000038 s: random_gen.has_sizeof_inst 0.000064 s: smt_config.em_attr._default 0.002126 s: list.take'_nil 0.003302 s: continuous_linear_map.coe_prod 0.000106 s: continued_fraction.inhabited 0.000095 s: is_per.rec_on 0.000137 s: neq_of_not_iff 0.001308 s: complex.smul_comm_class 0.001208 s: complex.smul_comm_class.equations._eqn_1 0.000840 s: category_theory.limits.reflects_limit.sizeof 0.000195 s: category_theory.limits.reflects_limit.has_sizeof_inst 0.000716 s: category_theory.creates_limit.sizeof 0.007099 s: complete_distrib_lattice.no_confusion_type 0.004972 s: complete_distrib_lattice.no_confusion 0.016342 s: complete_distrib_lattice.mk.inj 0.032578 s: complete_distrib_lattice.mk.inj_arrow 0.008783 s: category_theory.monoidal_functor.mk.sizeof_spec 0.003405 s: continuous_linear_map.coe_coprod 0.015011 s: ideal.comap.equations._eqn_1 0.000263 s: filter.ne_bot.dcases_on 0.008653 s: is_preirreducible_iff_closed_union_closed 0.009420 s: is_irreducible_iff_sUnion_closed 0.001812 s: zmod.cast_neg 0.000598 s: nat.two_step_induction._main.equations._eqn_2 0.000141 s: nat.two_step_induction.equations._eqn_2 0.005936 s: multiplicative.group.equations._eqn_1 0.000495 s: category_theory.unbundled_hom.no_confusion 0.001802 s: asymptotics.is_O.prod_rightl 0.004217 s: isometric.group._proof_11 0.000279 s: finset.Ico_ℤ.equations._eqn_1 0.000825 s: finset.Ico_ℤ.card 0.000510 s: nonarchimedean_add_group.rec_on 0.000836 s: is_lawful_bifunctor.cases_on 0.000367 s: is_lawful_bifunctor.no_confusion_type 0.000017 s: omega.ee.neg.inj 0.000327 s: linarith.linexp.get._main.equations._eqn_1 0.000046 s: linarith.linexp.get.equations._eqn_1 0.001269 s: category_theory.center.tensor_fst 0.002545 s: submodule.mem_left_iff_eq_zero_of_disjoint 0.005029 s: submodule.prod_equiv_of_is_compl_symm_apply_snd_eq_zero 0.000096 s: list.ilast.equations._eqn_2 0.001539 s: category_theory.discrete.nat_iso_app 0.000725 s: category_theory.lifts_to_limit.has_sizeof_inst 0.000325 s: function.decidable_eq_pfun._main 0.000101 s: function.decidable_eq_pfun._main._proof_1 0.000667 s: function.decidable_eq_pfun._main.equations._eqn_1 0.006641 s: linear_equiv.of_submodules_apply 0.542960 s: convex_cone.to_ordered_semimodule 0.001569 s: category_theory.mono_over.bot_left 0.002383 s: slim_check.decidable_testable._match_1.equations._eqn_2 0.000263 s: setoid.gi._proof_3 0.000641 s: setoid.gi 0.000448 s: submonoid.monotone_comap 0.002887 s: linear_map.has_sub.equations._eqn_1 0.002200 s: slim_check.list.shrink_removes._match_1._proof_1 0.023533 s: subring.closure_empty 0.001597 s: tactic_doc._1435547774 0.000229 s: turing.list_blank.inhabited.equations._eqn_1 0.000613 s: conj_classes.map 0.000345 s: char_zero.dcases_on 0.000279 s: add_equiv.to_multiplicative._proof_6 0.135758 s: perfect_closure.lift._proof_1 0.000764 s: cast_znum._main.equations._eqn_2 0.000190 s: cast_znum.equations._eqn_2 0.026282 s: linear_ordered_add_comm_group.cases_on 0.008542 s: linear_ordered_add_comm_group.no_confusion_type 0.007467 s: linear_ordered_add_comm_group.no_confusion 0.012111 s: linear_ordered_add_comm_group.mk.inj 0.013008 s: linear_ordered_add_comm_group.mk.inj_arrow 0.000105 s: setoid.eqv_gen_idem 0.000221 s: num.decidable_dvd._sunfold 0.000419 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.node_0.sizeof_spec 0.000015 s: tactic.tauto_cfg.classical._default 0.000543 s: char.mk.sizeof_spec 0.000156 s: wseq.filter 0.000082 s: wseq.find 0.002710 s: measure_theory.add.sigma_finite 0.003183 s: measure_theory.measure.prod_add 0.001486 s: category_theory.limits.mono_factorisation.mk.inj 0.008726 s: category_theory.limits.mono_factorisation.mk.inj_eq 0.000125 s: id.is_lawful_traversable._proof_2 0.001720 s: id.is_lawful_traversable._proof_3 0.000124 s: id.is_lawful_traversable._proof_4 0.001771 s: id.is_lawful_traversable 0.001123 s: id.is_lawful_traversable.equations._eqn_1 0.000066 s: turing.partrec_to_TM2.Λ'.copy.inj_arrow 0.000160 s: real.angle.angle.add_comm_group.equations._eqn_1 0.004737 s: category_theory.over.epi_of_epi_left 0.000660 s: principal_seg.sizeof 0.001876 s: principal_seg.mk.sizeof_spec 0.000494 s: category_theory.limits.has_reflexive_coequalizers.drec 0.002508 s: tactic_doc._1082458140 0.000167 s: ordnode.find_index 0.000162 s: ordnode.find_index.equations._eqn_1 0.000208 s: nat.gcd_mul_left_right 0.002101 s: homeomorph.mul_right'_symm_apply 0.000186 s: is_extensional.dcases_on 0.282314 s: unique_diff_on_Iic 0.000167 s: encodable.nat.equations._eqn_1 0.027286 s: complex.norm_int 0.000127 s: has_bind.cases_on 0.000127 s: has_bind.no_confusion_type 0.000383 s: has_bind.no_confusion 0.000236 s: has_bind.mk.inj 0.008350 s: add_submonoid.localization_map.add_equiv_of_localizations_symm_eq_add_equiv_of_localizations 0.000963 s: cardinal.ord.order_embedding_coe 0.029434 s: dfinsupp.semimodule.equations._eqn_1 0.001858 s: t2_space.dcases_on 0.000100 s: tactic.rewrite_search.using_conv.app_addr.rw.inj 0.000078 s: tactic.rewrite_search.using_conv.app_addr.rw.inj_eq 0.001598 s: linear_equiv_of_is_basis'._proof_1 0.001165 s: linear_equiv_of_is_basis'._proof_2 0.003840 s: linear_equiv_of_is_basis'._proof_4 0.016285 s: linear_equiv_of_is_basis' 0.041695 s: differentiable_within_at.smul 0.000342 s: language.star.equations._eqn_1 0.000244 s: category_theory.skeleton_is_skeleton 0.004927 s: tactic.ring2.horner_expr.to_string._main.equations._eqn_2 0.002104 s: normed_space.no_confusion_type 0.000951 s: normed_space.no_confusion 0.000026 s: pos_num.is_one 0.000039 s: pos_num.is_one.equations._eqn_2 0.000080 s: string.to_nat.equations._eqn_1 0.000796 s: topological_space.is_topological_basis.drec 0.000235 s: opposite.op_eq_zero_iff 0.032670 s: emetric.diam_pos_iff 0.050693 s: measure_theory.measure.mk_metric_apply 0.072448 s: deriv_within_csinh 0.009059 s: measure_theory.Lp.has_dist.equations._eqn_1 0.001971 s: turing.TM2.stmt.sizeof 0.000581 s: turing.TM2.stmt.goto.sizeof_spec 0.000144 s: has_lt.lt.is_incomp_trans 0.000186 s: turing.reaches₀_eq 0.000294 s: has_continuous_sub.drec 0.000169 s: locally_constant.has_one.equations._eqn_1 0.053660 s: Top.sheaf.exists_unique_gluing' 6.115897 s: Top.presheaf.app_bijective_of_stalk_functor_map_bijective 0.059846 s: hyperreal.gt_of_tendsto_zero_of_neg 0.000285 s: onote.split'._main.equations._eqn_1 0.000046 s: onote.split'.equations._eqn_1 0.024964 s: nat.lt_factorial_self 0.006332 s: computability.Γ'.fintype 0.000139 s: computability.fin_encoding_nat_Γ' 0.000058 s: computability.fin_encoding_nat_Γ'.equations._eqn_1 0.002213 s: pgame.add_comm_relabelling._main._pack._proof_1 0.000306 s: with_bot.decidable_lt.equations._eqn_1 0.008330 s: local_equiv.pi_symm 0.004404 s: charted_space_core.open_source' 0.005863 s: charted_space_core.local_homeomorph._proof_3 0.000071 s: int.inhabited.equations._eqn_1 0.002113 s: category_theory.monad.forget_creates_colimits.cocone_point_A 0.000193 s: ordnode.find_index_aux._match_1.equations._eqn_2 0.000178 s: fun_info.mk.sizeof_spec 0.000159 s: omega.ee.repr.equations._eqn_2 0.007500 s: measure_theory.measure.comap_apply 0.000052 s: binder_info.default.inj_arrow 0.026024 s: category_theory.over.over_has_terminal 0.009669 s: lie_hom.range.equations._eqn_1 0.004169 s: real.sin_nonpos_of_nonnpos_of_neg_pi_le 0.005559 s: add_group_with_zero_nhd.has_continuous_add._match_1.equations._eqn_1 0.028473 s: category_theory.over_to_coalgebra.equations._eqn_1 0.000156 s: functor.rec_on 0.000601 s: isometry.closed_embedding 0.011391 s: abelianization.of.equations._eqn_1 0.000150 s: znum.div.equations._eqn_8 0.003810 s: category_theory.limits.coprod_is_coprod.equations._eqn_1 0.000058 s: tactic.ring.normalize_mode.raw.sizeof_spec 0.000259 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_3 0.000829 s: slim_check.trace_if_giveup._main.equations._eqn_2 0.001892 s: is_complemented_of_is_atomistic 0.000375 s: _private.1867346213.sets.equations._eqn_1 0.000070 s: has_top.cases_on 0.000058 s: has_top.no_confusion_type 0.000238 s: has_top.no_confusion 0.000090 s: has_top.mk.inj 0.000061 s: has_top.mk.inj_arrow 0.000089 s: free_abelian_group.equations._eqn_1 0.003098 s: subgroup.coe_prod 0.000047 s: category_theory.core.equations._eqn_1 0.002877 s: set.Ioo_subset_Ioo_union_Ico 0.000785 s: set.Ioo_union_Ico_eq_Ioo 0.001834 s: linear_map.ker_comp_of_ker_eq_bot 0.001222 s: linear_equiv.ker_comp 0.000502 s: ring.fractional_ideal.inhabited.equations._eqn_1 0.005973 s: submonoid.gi.equations._eqn_1 0.001692 s: add_equiv.eq_symm_apply 0.000553 s: opposite.add_comm_semigroup.equations._eqn_1 0.003303 s: affine_map.coe_mk 0.000086 s: separated.comm 0.000395 s: lazy_list.cons.sizeof_spec 0.018845 s: circle_deg1_lift.iterate_pos_le_iff 0.004413 s: circle_deg1_lift.lt_iterate_pos_iff 0.005444 s: category_theory.mono_over.factor_thru.equations._eqn_1 0.001735 s: holor.add_group._proof_1 0.002961 s: valuation.map.equations._eqn_1 0.000052 s: expr.coord.code.equations._eqn_6 0.002055 s: decidable_powers.equations._eqn_1 0.000273 s: computability.section_Γ'_bool._main.equations._eqn_4 0.005572 s: onote.eq_of_cmp_eq 0.000571 s: equiv.prod_comm_apply 0.000106 s: conjugates_of.equations._eqn_1 0.000083 s: string.iterator.insert._sunfold 0.000905 s: list.countp_append 0.000929 s: generate_pi_system.drec_on 0.001650 s: add_comm_group.is_Z_bilin.zero_right 0.000259 s: measure_theory.finite_measure.to_locally_finite_measure.equations._eqn_1 0.008331 s: category_theory.Monad.Monad_to_Mon_map_hom 0.002468 s: lie_module_equiv.has_coe_to_fun.equations._eqn_1 0.000387 s: sup_right_idem 0.001837 s: inf_right_idem 0.004509 s: category_theory.limits.limit.post_π_assoc 0.015297 s: category_theory.limits.limit.map_post 0.002055 s: subgroup.of_div._proof_1 0.000632 s: subgroup.of_div._proof_2 0.000666 s: subgroup.of_div 0.032285 s: quaternion_group.card 0.007168 s: basic_smooth_bundle_core.inhabited.equations._eqn_1 0.001920 s: primcodable.sizeof 0.029405 s: turing.partrec_to_TM2.head_stack_ok 0.000615 s: monad_except_adapter.no_confusion 0.000291 s: monad_except_adapter.mk.inj 0.000198 s: monad_except_adapter.mk.inj_arrow 0.086300 s: is_R_or_C.conj_clm_apply 0.017485 s: tactic_doc._4261707120 0.000122 s: encodable.int.equations._eqn_1 0.000469 s: writer_t.uliftable.equations._eqn_1 0.014339 s: Module.has_coe 0.012455 s: Module.has_coe.equations._eqn_1 0.000382 s: simple_graph.no_confusion_type 0.001739 s: simple_graph.no_confusion 0.000640 s: add_subgroup.map_comap_le 0.002703 s: tensor_algebra.ι_comp_lift 0.000431 s: sym.equations._eqn_1 0.000446 s: side.other._main.equations._eqn_1 0.000027 s: side.other.equations._eqn_1 0.000195 s: fin2.rec_on 0.001322 s: set.Iic.semilattice_inf_top._proof_2 0.001356 s: set.Iic.semilattice_inf_top._proof_4 0.000809 s: set.Iic.semilattice_inf_top._proof_5 0.000624 s: set.Iic.semilattice_inf_top._proof_6 0.000997 s: set.Iic.semilattice_inf_top._proof_8 0.006125 s: set.Iic.semilattice_inf_top 0.000310 s: complete_lattice.independent_def 0.000535 s: order.sequence_of_cofinals._match_1.equations._eqn_2 0.005943 s: category_theory.equiv_punit._proof_1 0.002725 s: turing.eval_maximal₁ 0.001654 s: fin.succ_embedding._match_2.equations._eqn_1 0.002595 s: Mon.colimits.desc_fun_lift._main.equations._eqn_3 0.000564 s: Mon.colimits.desc_fun_lift.equations._eqn_3 0.091885 s: clifford_algebra.reverse.map_one 0.000115 s: num.sub'._sunfold 0.003131 s: category_theory.subobject.underlying_as_coe 0.059888 s: has_deriv_within_at.const_cpow 0.005714 s: linear_equiv.symm_bijective 0.008616 s: finsupp.mem_split_support_iff_nonzero 0.001777 s: finsupp.split_comp._proof_1 0.018638 s: mul_inv_lt_of_lt_mul' 0.002923 s: direct_sum.has_one.equations._eqn_1 0.000243 s: category_theory.limits.is_initial.to_self 0.005611 s: category_theory.limits.is_iso_π_of_is_initial 0.000472 s: category_theory.limits.is_iso_π_initial 0.000708 s: category_theory.limits.is_iso_π_initial.equations._eqn_1 0.000416 s: parser.static.and_then.equations._eqn_1 0.005919 s: equiv.perm.subtype_perm_of_subtype 0.000218 s: Set.is_func.equations._eqn_1 0.006230 s: linear_map.ring_lmap_equiv_self_symm_apply 0.000231 s: monad_reader_adapter.cases_on 0.000205 s: monad_reader_adapter.no_confusion_type 0.000424 s: monad_reader_adapter.no_confusion 0.000455 s: monad_reader_adapter.mk.inj 0.000345 s: monad_reader_adapter.mk.inj_arrow 0.000181 s: list.map₂_right.equations._eqn_1 0.004325 s: list.map₂_left_eq_map₂_left' 0.000320 s: list.map₂_right'.equations._eqn_1 0.001051 s: list.map₂_right_eq_map₂_right' 0.001098 s: list.zip_right_eq_zip_right' 0.012142 s: polynomial.mul_semiring_action.equations._eqn_1 0.000442 s: ordnode.map._main.equations._eqn_1 0.000046 s: false.drec_on 0.003210 s: add_con.add_group._proof_12 0.002507 s: polynomial.le_trailing_degree_X_pow 0.000085 s: semilattice_sup.lt._default.equations._eqn_1 0.003177 s: category_theory.limits.comp_nat_iso._match_1.equations._eqn_1 0.000191 s: category_theory.with_terminal.hom._sunfold 0.000171 s: ε_NFA.rec_on 0.082440 s: mv_polynomial.restrict_total_degree 0.000130 s: complex.cosh_of_real_re 0.016394 s: is_semiring_hom.comp 0.000675 s: polynomial.is_semiring_hom_C_f 0.002419 s: polynomial.is_semiring_hom_C_f.equations._eqn_1 0.002181 s: set.Iio_diff_Iic 0.002579 s: set.Ioo_eq_empty_iff 0.000687 s: set.Iio_subset_Iic_iff 0.000545 s: filter.germ.bounded_lattice._proof_11 0.000187 s: free_semigroup.traversable.equations._eqn_1 0.000331 s: equiv.inv_apply 0.000121 s: opposite.comm_group._proof_1 0.000749 s: applicative_transformation.rec_on 0.000049 s: znum.has_add.equations._eqn_1 0.000070 s: rat.of_int.equations._eqn_1 0.000191 s: list.to_string_aux._sunfold 0.006823 s: pmf.mem_support_pure_iff 0.014357 s: category_theory.monoidal_functor.μ_nat_iso.equations._eqn_1 0.009269 s: lie_subalgebra.lie_span_le 0.000976 s: lie_subalgebra.lie_span_mono 0.000308 s: roption.of_option_decidable._sunfold 0.000082 s: list.zip_left' 0.001001 s: list.zip_left'_cons_cons 0.000827 s: tensor_product.tmul.equations._eqn_1 0.000167 s: slim_check.gen.sized.equations._eqn_1 0.000538 s: list.zip_right'_nil_right 0.000547 s: nnreal.coe_to_real_hom 0.001256 s: charted_space_core.cases_on 0.001050 s: charted_space_core.no_confusion_type 0.001891 s: charted_space_core.no_confusion 0.001720 s: charted_space_core.mk.inj 0.002014 s: charted_space_core.mk.inj_arrow 0.001028 s: char_zero.fintype.card.invertible.equations._eqn_1 0.000190 s: tactic.ring2.horner_expr.add_aux._match_2.equations._eqn_2 0.006907 s: quaternion.normed_ring.equations._eqn_1 0.005610 s: pi.no_zero_smul_divisors.equations._eqn_1 0.000419 s: parser.static.sep_by1 0.000325 s: parser.static.sep_by1.equations._eqn_1 0.002116 s: finset.prod_powerset 0.000723 s: turing.tm2_computable_in_time.to_tm2_computable.equations._eqn_1 0.000063 s: is_sup_closed_compact.is_Sup_finite_compact 0.000281 s: wseq.all._match_1.equations._eqn_1 0.000260 s: function.iterate_pred_comp_of_pos 0.000696 s: function.is_periodic_pt.eq_of_apply_eq_same 0.005011 s: polynomial.eq_zero_of_eq_zero 1.559548 s: real.is_cau_seq_iff_lift 1.051129 s: real.of_near 0.000404 s: isometric.edist_eq 0.000153 s: fin_zero_equiv._proof_1 0.000053 s: fin_zero_equiv._proof_2 0.000118 s: fin_zero_equiv 0.000070 s: subsingleton_fin_zero 0.000035 s: subsingleton_fin_zero.equations._eqn_1 0.081520 s: real.deriv_sinh 0.016393 s: category_theory.triangulated.pretriangulated.rec_on 0.000087 s: small.cases_on 0.000164 s: category_theory.biprod.gaussian._proof_11 0.001928 s: pnat.coe_lt_coe 0.002043 s: encodable.order.preimage.is_antisymm.equations._eqn_1 0.079744 s: polynomial.splitting_field_aux.field.equations._eqn_1 0.017558 s: multilinear_map.pi.equations._eqn_1 0.009786 s: lipschitz_with.diam_image_le 0.004434 s: image_range_order_of 0.001275 s: library_note._3058542951 0.000038 s: znum.zero.sizeof_spec 0.000348 s: category_theory.Type_to_Cat_obj 0.000841 s: subgroup.right_coset_equiv_subgroup._proof_1 0.000406 s: Top.sheaf_to_Type.equations._eqn_1 0.060591 s: mv_polynomial.eval₂_neg 0.023755 s: multiset.coe_ndinter 0.004194 s: cau_seq.inv.equations._eqn_1 0.007820 s: is_irreducible_iff_sInter 0.000103 s: tactic.rewrite_search.dir_pair.get._sunfold 0.001348 s: category_theory.is_kernel_pair.comm_assoc 0.000755 s: category_theory.is_kernel_pair.comp_of_mono._proof_1 0.000596 s: category_theory.is_kernel_pair.comp_of_mono._proof_2 0.019973 s: category_theory.is_kernel_pair.comp_of_mono._proof_4 0.016549 s: category_theory.is_kernel_pair.comp_of_mono 0.000765 s: ordinal.cof._match_1.equations._eqn_1 0.014709 s: convex_on_const 0.010247 s: concave_on_const 0.012728 s: measure_theory.simple_func.semimodule.equations._eqn_1 0.000282 s: decidable.subsingleton._match_1.equations._eqn_1 0.001542 s: is_CHSH_tuple.A₀B₀_commutes 0.001039 s: is_CHSH_tuple.B₀_inv 0.001285 s: is_CHSH_tuple.A₀B₁_commutes 0.001790 s: is_CHSH_tuple.B₁_inv 0.000880 s: is_CHSH_tuple.A₀_inv 0.003057 s: star_sub 0.001541 s: is_CHSH_tuple.A₀_sa 0.000928 s: is_CHSH_tuple.B₁_sa 0.000763 s: is_CHSH_tuple.A₁_sa 0.000535 s: star_mul_self_nonneg 0.467413 s: CHSH_inequality_of_comm 0.000152 s: string.push.equations._eqn_1 0.004034 s: uniform.continuous_on_iff'_right 0.001224 s: mem_subalgebra_of_is_subring 0.000205 s: rbnode.find._match_2.equations._eqn_3 0.000070 s: algebraic_geometry.Scheme.empty 0.024636 s: tensor_product.lift_aux._match_1.equations._eqn_3 0.002005 s: CommMon.limit_cone.equations._eqn_1 0.005866 s: fin.pred_one 0.002099 s: category_theory.pullback_arrows.drec 0.002720 s: filter.principal_coprod_principal 0.000452 s: free_group.inv_mk 0.007999 s: category_theory.lax_monoidal_functor.comp_μ 0.004660 s: Module.has_limits.limit_cone.equations._eqn_1 0.000129 s: pi.pempty_unique.equations._eqn_1 0.001405 s: add_con.ker_lift_mk 0.000761 s: ring_hom.iterate_map_smul 0.020743 s: category_theory.monoidal.transported_monoidal_counit_iso_inv_to_nat_trans_app 0.010914 s: category_theory.sieve.pushforward_union 0.000732 s: metric.inductive_limit.inhabited 0.000794 s: metric.inductive_limit.inhabited.equations._eqn_1 0.000779 s: category_theory.sum.inverse_associator_obj_inr_inl 0.000138 s: omega.nat.preform.not.inj_eq 0.000250 s: is_asymm.swap 0.000327 s: lie_module.is_trivial.rec_on 0.001337 s: tactic_doc._2496257874 0.020264 s: continuous_linear_map.flip_multilinear._proof_2 0.020892 s: continuous_linear_map.flip_multilinear._proof_4 0.047140 s: continuous_linear_map.flip_multilinear._proof_5 0.067713 s: continuous_linear_map.flip_multilinear._proof_6 0.148330 s: continuous_linear_map.flip_multilinear._proof_7 0.237385 s: continuous_linear_map.flip_multilinear._proof_8 0.299220 s: continuous_linear_map.flip_multilinear._proof_10 0.240944 s: continuous_linear_map.flip_multilinear 0.015308 s: category_theory.split_mono.sizeof 0.000189 s: category_theory.split_mono.has_sizeof_inst 0.000076 s: ennreal.measurable_space.equations._eqn_1 0.000586 s: category_theory.functor.hom_obj 0.000195 s: set.Ioi_subset_Ici 0.007485 s: normed_ring.mk.sizeof_spec 0.010612 s: finset.image_bUnion 0.000732 s: compl_unique 0.000944 s: qpf.fix.rec.equations._eqn_1 0.000075 s: real.has_one.equations._eqn_1 0.006052 s: group.closure_eq_mclosure 0.045462 s: category_theory.sieve.functor_inclusion_top_is_iso 0.000406 s: uniform_space.completion.normed_group._proof_1 0.000309 s: uniform_space.completion.normed_group._proof_2 0.000303 s: uniform_space.completion.normed_group._proof_3 0.006114 s: uniform_space.completion.normed_group._proof_4 0.002368 s: uniform_space.completion.normed_group._proof_5 0.002260 s: uniform_space.completion.normed_group._proof_6 0.000871 s: uniform_space.completion.normed_group._proof_7 0.129083 s: uniform_space.completion.normed_group._proof_10 0.029490 s: uniform_space.completion.normed_group 0.009587 s: uniform_space.completion.normed_group.equations._eqn_1 0.000260 s: ordnode.dual._sunfold 0.000693 s: normal_space.cases_on 0.017350 s: linear_map.to_matrix_symm 0.002407 s: pgame.relabelling.symm._main._proof_1 0.002369 s: mdifferentiable_on.differentiable_on 0.017217 s: ideal.mul_eq_inf_of_coprime 0.014860 s: linear_equiv.of_eq.equations._eqn_1 0.000377 s: has_monad_lift_t.mk.inj_arrow 0.000373 s: environment.projection_info.mk.inj 0.000292 s: environment.projection_info.mk.inj_arrow 0.000604 s: list.Ico.eq_empty_iff 0.000260 s: multiset.Ico.eq_zero_iff 0.000477 s: finset.Ico.eq_empty_iff 0.006150 s: circle_deg1_lift.monoid.equations._eqn_1 0.001717 s: list.transpose._main.equations._eqn_2 0.000110 s: list.transpose.equations._eqn_2 0.000371 s: loc_path_connected_space.rec_on 0.006273 s: function.surjective.comm_monoid.equations._eqn_1 0.000506 s: initial_seg.le_lt.equations._eqn_1 0.016958 s: ennreal.of_real_bit1 0.000500 s: set.Icc_subset_Iic_self 0.000249 s: set.not_mem_Icc_of_gt 0.004779 s: con.inf_def 0.000195 s: has_compl.mk.inj 0.019211 s: category_theory.subobject.iso_of_eq._proof_4 0.001095 s: rbnode.depth._main.equations._eqn_2 0.000157 s: field_of_integral_domain._proof_2 0.000387 s: equiv.sum_empty 0.000236 s: equiv.sum_empty.equations._eqn_1 0.000544 s: list.append._main.equations._eqn_2 0.000100 s: category_theory.bundled_hom.parent_projection.cases_on 0.000913 s: seq.cons._sunfold 0.011592 s: category_theory.lax_braided_functor.comp_to_nat_trans 0.000433 s: except_t.monad_writer 0.000458 s: tactic.itauto.proof.intro.sizeof_spec 0.019550 s: filter.frequently_low_scores 0.003558 s: list.disjoint_singleton 0.000670 s: sum.bind._main.equations._eqn_1 0.000353 s: sum.bind.equations._eqn_1 0.003586 s: dioph.dioph_pfun_vec 0.015975 s: dioph.xn_dioph 0.006916 s: filter.realizer.Sup._proof_1 0.004305 s: filter.realizer.of_equiv._match_2 0.001095 s: filter.realizer.of_equiv._proof_1 0.000272 s: filter.realizer.of_equiv 0.000480 s: filter.realizer.Sup._proof_2 0.002772 s: filter.realizer.Sup 0.000272 s: uliftable.rec_on 0.153622 s: polynomial.gal.restrict_prod.equations._eqn_1 0.000304 s: list.mem._main.equations._eqn_1 0.000247 s: relator.left_unique_of_rel_eq 0.000196 s: parser.mono.many_char 0.000138 s: parser.mono.many_char.equations._eqn_1 0.003967 s: category_theory.equalizer.sieve.second_obj.inhabited 0.012445 s: is_linear_map.mk'_apply 0.004220 s: category_theory.functor.rec_on 0.000710 s: set.fintype_prod.equations._eqn_1 0.000229 s: mzip_with._sunfold 0.000112 s: pi.generalized_boolean_algebra._proof_1 0.000183 s: pi.generalized_boolean_algebra._proof_2 0.000304 s: pi.generalized_boolean_algebra._proof_4 0.000579 s: pi.generalized_boolean_algebra._proof_5 0.000571 s: pi.generalized_boolean_algebra._proof_6 0.002363 s: pi.generalized_boolean_algebra._proof_7 0.000662 s: pi.generalized_boolean_algebra._proof_8 0.007100 s: pi.generalized_boolean_algebra._proof_9 0.003310 s: pi.generalized_boolean_algebra._proof_10 0.002515 s: pi.generalized_boolean_algebra._proof_11 0.003462 s: pi.generalized_boolean_algebra._proof_13 0.002534 s: pi.generalized_boolean_algebra._proof_14 0.007597 s: pi.generalized_boolean_algebra._proof_15 0.041994 s: pi.generalized_boolean_algebra._proof_17 0.035592 s: pi.generalized_boolean_algebra._proof_18 0.032793 s: pi.generalized_boolean_algebra 0.063486 s: algebraic_closure.algebra.equations._eqn_1 0.000042 s: right_identity 0.020060 s: mv_polynomial.is_scalar_tower.equations._eqn_1 0.192275 s: is_bounded_bilinear_map_comp_multilinear 0.000356 s: category_theory.limits.walking_pair.swap_apply_left 0.519058 s: euclidean_geometry.eq_or_eq_reflection_of_dist_eq 0.001342 s: slim_check.gen.permutation_of._match_1._proof_1 0.000400 s: ideal.is_jacobson.dcases_on 0.000277 s: znum.decidable_le._sunfold 0.001596 s: lcm_dvd_lcm_mul_right 0.000098 s: quotient.equations._eqn_1 0.006353 s: lie_hom.is_solvable_range 0.004253 s: ordered_cancel_add_comm_monoid.mk.inj 0.006680 s: ordered_cancel_add_comm_monoid.mk.inj_arrow 0.022963 s: lie_algebra.of_abelian_is_solvable.equations._eqn_1 0.000360 s: denumerable.raise'_finset 0.000496 s: denumerable.lower'._main.equations._eqn_2 0.000098 s: denumerable.lower'.equations._eqn_2 0.005327 s: denumerable.raise_lower' 0.000326 s: denumerable.raise'_finset.equations._eqn_1 0.010368 s: denumerable.finset._proof_3 0.000252 s: ordered_ring.nsmul._default 0.002711 s: category_theory.functor.map_iso.equations._eqn_1 0.018819 s: category_theory.functor.map_differential_object_map_f 0.000228 s: mul_action.orbit.equations._eqn_1 0.002506 s: finmap.foldl.equations._eqn_1 0.000107 s: has_repr.rec_on 0.000523 s: category_theory.limits.has_coreflexive_equalizers.dcases_on 0.000135 s: field_of_integral_domain._proof_9 0.000102 s: category_theory.pairwise.hom.right.inj 0.000077 s: category_theory.pairwise.hom.right.inj_arrow 0.003023 s: additive.add_comm_monoid.equations._eqn_1 0.034033 s: prod_ring.equations._eqn_1 0.000254 s: int.neg_inj 0.007051 s: smooth_map_ring._proof_6 0.002089 s: Mon_.comp_hom 0.000281 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_11 0.002459 s: pnat.lt_add_one_iff 0.000460 s: is_local_min.sup 0.031838 s: localization.comm_ring.equations._eqn_1 0.020038 s: continuous_linear_map.isometry_iff_norm 0.004123 s: sesq_form.to_module._proof_3 0.002707 s: comm_group_of_is_unit.equations._eqn_1 0.000154 s: pos_num.bit1.inj_eq 0.001292 s: list.inter_eq_nil_iff_disjoint 0.000158 s: dmatrix.col._sunfold 0.000155 s: topological_space.complete_lattice.equations._eqn_1 0.000895 s: stream.drop_drop 0.000546 s: filter.tendsto.is_cobounded_under_ge 0.000879 s: slim_check.or_testable._match_1.equations._eqn_1 0.001756 s: monoid_algebra.add_group.equations._eqn_1 0.000574 s: fin2.add._main 0.000030 s: fin2.add 0.000617 s: fin2.add._main.equations._eqn_2 0.000329 s: fin2.add.equations._eqn_2 0.000245 s: slim_check.printable_prop.mk.inj 0.000091 s: slim_check.printable_prop.mk.inj_arrow 0.006501 s: category_theory.limits.is_colimit.cocone_point_unique_up_to_iso_inv_desc 0.001673 s: linear_map.prod_map 0.001233 s: galois_insertion.l_supr_of_ul_eq_self 0.051522 s: galois_coinsertion.u_infi_of_lu_eq_self 0.000359 s: lie_module.is_trivial.dcases_on 0.022619 s: lie_module.trivial_iff_le_maximal_trivial 0.012374 s: lie_algebra.abelian_of_le_center 0.001340 s: mv_polynomial.mem_symmetric_subalgebra 0.000189 s: list.take_prefix 0.000391 s: list.prefix_iff_eq_take 0.016778 s: list.prefix_take_le_iff 0.010919 s: filter.liminf_const_top 0.000294 s: ess_inf_const_top 0.001312 s: set.Iic_singleton_of_bot 0.000146 s: set.Iic_bot 0.002915 s: equiv.perm.sigma_congr_right_hom_injective 0.005596 s: equiv.perm.sigma_congr_right_hom.card_range 0.000253 s: rack.cases_on 0.009725 s: multilinear_curry_left_equiv._proof_2 0.006625 s: multilinear_curry_left_equiv._proof_3 0.008512 s: multilinear_curry_left_equiv._proof_5 0.009749 s: multilinear_curry_left_equiv._proof_6 0.001697 s: multilinear_curry_left_equiv._proof_9 0.015658 s: multilinear_curry_left_equiv 0.021109 s: multilinear_curry_left_equiv.equations._eqn_1 0.009232 s: add_submonoid.localization_map.mk'_sec 0.001586 s: add_submonoid.localization_map.exists_of_sec_mk' 0.000390 s: is_local_min_on.comp_mono 0.001689 s: set.piecewise_same 0.002713 s: pi.has_continuous_mul.equations._eqn_1 0.003872 s: list.chain'.append_overlap 0.000390 s: multiplicative.linear_ordered_comm_monoid._proof_5 0.001308 s: simps_cfg.mk.inj_eq 0.000531 s: ordnode.insert_min._main.equations._eqn_1 0.000150 s: ordnode.insert_min.equations._eqn_1 0.000053 s: nnreal.real.has_pow.equations._eqn_1 0.019889 s: mv_polynomial.eval₂_hom_eq_constant_coeff_of_vars 0.000089 s: snum.czadd._main.equations._eqn_1 0.000032 s: snum.czadd.equations._eqn_1 0.000374 s: filter.germ.linear_ordered_comm_ring._proof_1 0.000246 s: filter.germ.linear_ordered_comm_ring._proof_2 0.002977 s: filter.germ.linear_ordered_comm_ring._proof_5 0.001388 s: filter.germ.linear_ordered_comm_ring._proof_6 0.000873 s: filter.germ.linear_ordered_comm_ring._proof_7 0.000255 s: filter.germ.linear_ordered_comm_ring._proof_8 0.000187 s: filter.germ.linear_ordered_comm_ring._proof_9 0.000199 s: filter.germ.linear_ordered_comm_ring._proof_10 0.000211 s: filter.germ.linear_ordered_comm_ring._proof_11 0.000357 s: filter.germ.linear_ordered_comm_ring._proof_12 0.000389 s: filter.germ.linear_ordered_comm_ring._proof_13 0.000201 s: filter.germ.linear_ordered_comm_ring._proof_15 0.000198 s: filter.germ.linear_ordered_comm_ring._proof_16 0.000209 s: filter.germ.linear_ordered_comm_ring._proof_17 0.000595 s: filter.germ.linear_ordered_comm_ring._proof_18 0.000510 s: filter.germ.linear_ordered_comm_ring._proof_19 0.001649 s: filter.germ.linear_ordered_comm_ring._proof_20 0.002407 s: filter.germ.linear_ordered_comm_ring._proof_21 0.002802 s: filter.germ.linear_ordered_comm_ring._proof_22 0.000616 s: filter.germ.linear_ordered_comm_ring._proof_23 0.000181 s: filter.germ.linear_ordered_comm_ring._proof_24 0.000258 s: filter.germ.linear_ordered_comm_ring._proof_25 0.032329 s: filter.germ.linear_ordered_comm_ring 0.035855 s: filter.germ.linear_ordered_comm_ring.equations._eqn_1 0.056242 s: category_theory.adjunction.comp.equations._eqn_1 0.000379 s: set.maps_to.union 0.000565 s: set.maps_to_union 0.009447 s: format.color.to_string._sunfold 0.000219 s: lazy_list.of_list._sunfold 0.001922 s: subalgebra.fg_bot 0.000131 s: ε_NFA.no_confusion_type 0.000387 s: ε_NFA.no_confusion 0.000233 s: ε_NFA.mk.inj 0.000397 s: computation.mem.equations._eqn_1 0.004458 s: initial_seg.lt_or_eq_apply_left 0.006023 s: principal_seg.equiv_lt_apply 0.002368 s: initial_seg.lt_or_eq_apply_right 0.003122 s: initial_seg.le_lt_apply 0.001016 s: invertible_mul._proof_1 0.000692 s: mul_mul_inv_of_self_cancel 0.000873 s: invertible_mul._proof_2 0.000398 s: invertible_mul 0.004341 s: perfection_map.equiv._match_1.equations._eqn_1 0.000345 s: is_monoid_hom.cases_on 0.000288 s: norm_cast.label.to_string._main.equations._eqn_2 0.000900 s: equiv.perm.is_three_cycle.is_cycle 0.058499 s: has_fderiv_within_at.snd 0.007100 s: measure_theory.ae_eq_fun.pos_part.equations._eqn_1 0.000347 s: pi.ordered_cancel_comm_monoid._proof_9 0.000310 s: CompHaus_to_Top.creates_limits 0.000182 s: CompHaus_to_Top.creates_limits.equations._eqn_1 0.000121 s: stream.unfolds.equations._eqn_1 0.135968 s: continuous_linear_map.to_span_singleton_norm 0.022454 s: dfinsupp.add_comm_group.equations._eqn_1 0.003304 s: ideal.quotient_map.equations._eqn_1 0.044428 s: measurable_space.map_top 0.001492 s: category_theory.prod_id_snd 0.008746 s: int.mul_div_assoc' 0.000059 s: vm_decl_kind.builtin.inj_eq 0.005723 s: homological_complex.homology.equations._eqn_1 0.000678 s: monoid_hom.iterate_map_inv 0.001345 s: subfield.coe_to_add_subgroup 0.001217 s: tactic.abel.term_atom 0.001122 s: tactic.abel.term_add_const 0.010207 s: convex_on.add 0.006759 s: one_le_bit1 0.030638 s: CommRing.forget_reflects_isos.equations._eqn_1 0.006884 s: cardinal.aleph_idx.rel_iso._match_1.equations._eqn_1 0.000657 s: mv_polynomial.decidable_restrict_degree 0.000351 s: category_theory.arrow.has_lift.rec_on 0.002193 s: pequiv.equiv_to_pequiv_to_matrix 0.003591 s: affine_subspace.mk'_eq 0.000301 s: abs_pos_of_neg 0.001791 s: add_monoid_hom.smul_apply 0.000374 s: is_adic_complete.rec_on 0.033678 s: has_deriv_at.ccos 0.000711 s: equiv.comm_semiring._proof_3 0.000474 s: pi.comp_one 0.013773 s: category_theory.pi.cocone_of_cocone_comp_eval.equations._eqn_1 0.000334 s: has_coe_to_fun.no_confusion 0.047272 s: category_theory.over.iterated_slice_backward.equations._eqn_1 0.000177 s: set.subsingleton_univ 0.000142 s: equiv.empty_prod._match_1.equations._eqn_1 0.000669 s: polynomial.gal.fintype 0.014075 s: approximates_linear_on.closed_ball_subset_target 0.001260 s: category_theory.limits.diag.category_theory.split_mono._proof_1 0.000375 s: category_theory.limits.diag.category_theory.split_mono 0.000365 s: category_theory.limits.diag.category_theory.split_mono.equations._eqn_1 0.000345 s: continuous_linear_equiv.has_sizeof_inst 0.000394 s: polynomial.monic.decidable.equations._eqn_1 0.009170 s: nat.neg_one_pow_of_even 0.060276 s: nnreal.mul_le_iff_le_inv 0.015054 s: nnreal.le_div_iff_mul_le 0.006988 s: nnreal.div_lt_iff 0.036355 s: Module.free.equations._eqn_1 0.006965 s: measurable_of_Iic 0.362012 s: witt_structure_int_rename 0.000295 s: set.mul_indicator_one' 0.070114 s: iterated_fderiv_within_congr 0.005158 s: ideal.is_prime.rec_on 0.000094 s: omega.int.univ_close 0.000635 s: omega.int.univ_close._main.equations._eqn_1 0.000048 s: omega.int.univ_close.equations._eqn_1 0.003510 s: category_theory.limits.diagram_iso_span_hom_app 0.013137 s: complex.sin_add_pi 0.009262 s: algebra.tensor_product.congr_symm_apply 0.000512 s: free_algebra.pre.of.inj 0.000194 s: free_algebra.pre.of.inj_eq 0.001145 s: is_linear_map.map_zero 0.029360 s: multilinear_map.coe_curry_sum_equiv 0.000443 s: list.tprod.inhabited.equations._eqn_1 0.000217 s: fintype_of_compact_of_discrete._proof_1 0.000086 s: fintype_of_compact_of_discrete 0.000112 s: fintype_of_compact_of_discrete.equations._eqn_1 0.002697 s: add_localization.add_comm_monoid.equations._eqn_1 0.000555 s: lt_mul_of_lt_of_one_le' 0.009198 s: ennreal.infi_mul_right' 0.000624 s: ennreal.infi_mul_right 0.000262 s: omega.nat.neg_elim_core._main.equations._eqn_2 0.000075 s: omega.nat.neg_elim_core.equations._eqn_2 0.000132 s: pseudo_metric_quot.equations._eqn_1 0.001722 s: has_groupoid_continuous_groupoid 0.001701 s: has_groupoid_continuous_groupoid.equations._eqn_1 0.002515 s: pgame.add_comm_relabelling._main._pack._proof_2 0.002098 s: pgame.add_comm_relabelling._main._pack._proof_3 0.001936 s: pgame.add_comm_relabelling._main._pack._proof_4 0.009844 s: pgame.add_comm_relabelling._main._pack.equations._eqn_1 0.003311 s: pgame.add_comm_relabelling._main.equations._eqn_1 0.000591 s: function.embedding.prod_map.equations._eqn_1 0.025069 s: padic_int.to_zmod.equations._eqn_1 0.025173 s: measure_theory.L1.simple_func.to_L1_add 0.000907 s: has_measurable_smul₂_of_mul 0.000687 s: has_measurable_smul₂_of_mul.equations._eqn_1 0.049516 s: measure_theory.snorm_sum_le 0.040118 s: algebraic_geometry.LocallyRingedSpace.Γ_map 0.033573 s: uniform_space.sep_quot_equiv_ring_quot 0.028802 s: uniform_space.sep_quot_equiv_ring_quot.equations._eqn_1 0.004792 s: list.nodup_diff 0.000063 s: linear_ordered_semiring.has_sizeof_inst 0.007515 s: ideal.ker_lift_alg_injective 0.001909 s: measurable.supr_Prop 0.000259 s: lazy_list.mfirst._sunfold 0.001976 s: normal_add_subgroup_of_add_comm_group 0.001503 s: finset.piecewise_mem_Icc_of_mem_of_mem 0.001652 s: finset.piecewise_mem_Icc 0.003949 s: fintype.equiv_fin_of_forall_mem_list._match_1.equations._eqn_1 0.001868 s: list.decidable_infix._sunfold 0.000132 s: parser.run 0.000120 s: environment.projection_info.rec_on 0.000257 s: bounded_continuous_function.inhabited.equations._eqn_1 0.000311 s: nat.rfind.equations._eqn_1 0.000190 s: znum.cmp._main.equations._eqn_3 0.000247 s: convex_hull_mono 0.002700 s: caratheodory.step 0.000162 s: int.succ_neg_succ 0.000655 s: int.succ_neg_nat_succ 0.170040 s: fraction_map.is_integer_of_is_unit_denom 0.315964 s: denom_dvd_of_is_root 0.249555 s: is_integer_of_is_root_of_monic 0.210314 s: unique_factorization_monoid.integer_of_integral 0.000236 s: equiv.empty_sum 0.000975 s: equiv.empty_sum_symm_apply 0.000089 s: nat.partrec.code.has_mem 0.022708 s: bitraversable.tsnd_comp_tsnd 0.000347 s: multiset.mem.equations._eqn_1 0.000444 s: list.map₂_left'._main.equations._eqn_1 0.004207 s: holor.cprank_max.drec 0.000691 s: set.Ioc_subset_Iic_self 0.000298 s: set.not_mem_Ioc_of_gt 0.001375 s: pequiv.to_matrix_bot 0.002598 s: enat.semilattice_sup_bot._match_2.equations._eqn_1 0.008820 s: category_theory.functor.to_cone.equations._eqn_1 0.002089 s: set.pi_eq_empty 0.000300 s: set.univ_pi_eq_empty 0.001578 s: category_theory.lax_braided_functor.no_confusion_type 0.001644 s: category_theory.lax_braided_functor.no_confusion 0.004134 s: category_theory.lax_braided_functor.mk.inj 0.000692 s: star_ring.no_confusion 0.002962 s: is_add_monoid_hom.is_add_monoid_hom_mul_right.equations._eqn_1 0.040815 s: mv_polynomial.char_p.equations._eqn_1 0.008719 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_9 0.000344 s: with_zero.comm_semigroup.equations._eqn_1 0.006763 s: category_theory.sum.inverse_associator_map_inr_inr 0.079665 s: times_cont_diff.log 0.032000 s: ideal.jacobson_eq_self_of_is_maximal 0.000289 s: category_theory.subobject.lattice._proof_1 0.000150 s: category_theory.subobject.lattice._proof_2 0.000366 s: category_theory.subobject.lattice._proof_4 0.000535 s: category_theory.subobject.lattice._proof_6 0.000519 s: category_theory.subobject.lattice._proof_7 0.000399 s: category_theory.subobject.lattice._proof_8 0.000357 s: category_theory.subobject.lattice._proof_9 0.006964 s: category_theory.subobject.lattice 0.006418 s: category_theory.subobject.lattice.equations._eqn_1 0.001722 s: nat.arithmetic_function.card_factors.equations._eqn_1 0.000304 s: plift.seq._main.equations._eqn_1 0.004658 s: add_comm_group.no_confusion_type 0.002532 s: add_comm_group.no_confusion 0.005955 s: add_comm_group.mk.inj 0.003963 s: add_comm_group.mk.inj_arrow 0.000081 s: ne.intro 0.000344 s: localization.away.mul_equiv_of_quotient 0.000622 s: localization.away.mul_equiv_of_quotient.equations._eqn_1 0.000290 s: has_repr.no_confusion 0.001523 s: category_theory.ulift_functor.equations._eqn_1 0.001233 s: add_ite 0.000840 s: mul_lt_iff_lt_one_left' 0.000436 s: inv_lt_one_iff_one_lt 0.009494 s: div_lt_self_iff 0.019875 s: linear_ordered_comm_group.to_no_bot_order 0.004338 s: set.surj_on_Inter 0.004972 s: open_subgroup.coe_comap 0.000935 s: free_monoid.star_one 0.027064 s: has_deriv_at_filter.is_O_sub 0.001945 s: category_theory.star_obj_right 0.000094 s: rat.add_monoid.equations._eqn_1 0.007026 s: fin.preimage_insert_nth_Icc_of_mem 0.000101 s: pfunctor.approx.path.inhabited 0.000101 s: pfunctor.approx.path.inhabited.equations._eqn_1 0.004179 s: measure_theory.exists_measurable_superset_forall_eq 0.002435 s: category_theory.sheaf.finest_topology_single.equations._eqn_1 0.000569 s: ordset.insert.equations._eqn_1 0.001051 s: pochhammer_ne_zero_eval_zero 0.007264 s: submodule.to_ordered_cancel_add_comm_monoid.equations._eqn_1 0.076001 s: module.direct_limit.lift.equations._eqn_1 0.002302 s: CommRing.colimits.colimit_cocone.equations._eqn_1 0.001387 s: multiset.has_repr.equations._eqn_1 0.000225 s: _private.1846598367.mod.F.equations._eqn_1 0.002451 s: complex.im.is_add_group_hom 0.001356 s: complex.im.is_add_group_hom.equations._eqn_1 0.127477 s: lazy_list.is_lawful_monad.equations._eqn_1 0.000756 s: pfunctor.M.truncate_approx 0.007432 s: formal_multilinear_series.remove_zero._main.equations._eqn_1 0.005017 s: formal_multilinear_series.remove_zero.equations._eqn_1 0.000873 s: list.alternating_prod._main.equations._eqn_3 0.000175 s: with_top.bounded_lattice._proof_2 0.000542 s: with_top.bounded_lattice._proof_5 0.000222 s: with_top.bounded_lattice._proof_6 0.000511 s: with_top.bounded_lattice._proof_12 0.008109 s: with_top.bounded_lattice 0.007254 s: with_top.bounded_lattice.equations._eqn_1 0.000358 s: wseq.update_nth._match_1.equations._eqn_1 0.000257 s: category_theory.limits.has_finite_products.rec_on 0.002971 s: alg_equiv.of_linear_equiv_to_linear_equiv 0.001031 s: multiset.Ico.filter_lt 0.000747 s: finset.Ico.filter_lt 0.000386 s: add_subgroup.normal.mem_comm_iff 0.009696 s: category_theory.graded_object.comap_equiv_counit_iso 0.000149 s: unification_hint.mk.inj_arrow 0.000111 s: has_coe.sizeof 0.000361 s: has_coe.mk.sizeof_spec 0.000107 s: znum.div.equations._eqn_3 0.002703 s: homeomorph.set_congr._proof_2 0.000840 s: mul_le_of_le_one_left' 0.000488 s: computation.lift_rel_aux._sunfold 0.097493 s: interval_integral.integral_zero 0.000229 s: string.iterator.prev._main.equations._eqn_2 0.000088 s: string.iterator.prev.equations._eqn_2 0.023511 s: tensor_product.lift_aux.equations._eqn_1 0.099891 s: convex_iff_forall_pos 0.019604 s: convex_cone.convex 0.004294 s: convex_hull_to_cone_is_least 0.003169 s: convex_hull_to_cone_eq_Inf 0.006731 s: ordinal.rel_iso_enum' 0.000056 s: rat.ordered_cancel_add_comm_monoid.equations._eqn_1 0.005003 s: bounded_distrib_lattice_Prop.equations._eqn_1 0.000741 s: continuous_map.curry'.equations._eqn_1 0.007042 s: infi_sum 0.010401 s: supr_sum 0.002591 s: polynomial.aeval_monomial 0.000161 s: is_partial_order.drec_on 0.011289 s: derived_series._main.equations._eqn_2 0.000219 s: derived_series.equations._eqn_2 0.001789 s: complete_linear_order.decidable_eq._default 0.001002 s: complete_linear_order.decidable_eq._default.equations._eqn_1 0.011892 s: is_integral_of_mem_closure 0.000572 s: has_orelse.mk.sizeof_spec 0.008437 s: category_theory.functor.map_cocone_precompose_equivalence_functor_inv_hom 0.000242 s: bitvec.ult.decidable 0.000126 s: bitvec.ult.decidable.equations._eqn_1 0.128331 s: perfect_closure.field._proof_15 0.000101 s: list.nodup_of_nodup_append_right 0.191602 s: complex.sin_eq_sin_iff 0.022111 s: isometry.vadd_vsub 0.000264 s: add_lt_of_lt_sub_right 0.004582 s: div_div_cancel' 0.002152 s: ulift.ring._proof_10 0.000778 s: finset.Ico.filter_lt_of_ge 0.002376 s: filter.is_basis.drec_on 0.000081 s: turing.inhabited_fin_tm2.equations._eqn_1 0.009900 s: equiv.set_prod_equiv_sigma._match_2.equations._eqn_1 0.001031 s: rel.comp_left_id 0.002365 s: ring_hom.iterate_map_pow 0.000772 s: ring_hom.iterate_map_frobenius 0.003802 s: category_theory.comma.fst_map 0.000678 s: multiset.sections_cons 0.003002 s: multiset.mem_sections 0.001950 s: int.preimage_Iio 0.000938 s: right_coset_mem_right_coset 0.000416 s: category_theory.limits.is_iso_zero_self_equiv._proof_2 0.000211 s: category_theory.sum.inverse_associator._match_1.equations._eqn_3 0.000176 s: connected_components.topological_space.equations._eqn_1 0.000204 s: turing.TM2to1.st_act.push.inj_arrow 0.006113 s: enat.add_lt_add_right 0.002831 s: enat.add_lt_add_iff_right 0.000712 s: enat.add_lt_add_iff_left 0.001789 s: continuous_linear_map.coe_add 0.001219 s: mvqpf.fix.mk.equations._eqn_1 0.000427 s: rbnode.balance2._main.equations._eqn_6 0.000243 s: rbnode.balance2.equations._eqn_6 0.000340 s: commute.units_coe 0.002456 s: AddCommGroup.free.equations._eqn_1 0.000932 s: ring_equiv_iso_CommRing_iso 0.001036 s: ring_equiv_iso_CommRing_iso.equations._eqn_1 0.000361 s: category_theory.action_as_functor_obj 0.000260 s: topological_semiring.dcases_on 0.029462 s: quaternion_algebra.conj_sub 0.000267 s: seminorm.has_coe_to_fun 0.006585 s: seminorm.smul' 0.001026 s: seminorm.smul 0.050620 s: seminorm.neg 0.000114 s: option.orelse._sunfold 0.000284 s: typevec.arrow.mp._main._proof_1 0.000647 s: typevec.arrow.mp._main.equations._eqn_1 0.000355 s: typevec.arrow.mp.equations._eqn_1 0.000280 s: continuous_comm_group._proof_1 0.007135 s: tangent_space.equations._eqn_1 0.000715 s: list.sublists_len_aux._main.equations._eqn_3 0.162000 s: local_ring.residue_field.map.equations._eqn_1 0.000295 s: lazy_list.map₂.equations._eqn_2 0.025629 s: linear_equiv_of_is_basis_symm_trans 0.000171 s: ordered_comm_semiring.npow._default 0.006919 s: ulift.comm_semiring.equations._eqn_1 0.002915 s: parser.bounded.pure 0.000110 s: parser.bounded.eps 0.000298 s: fin.decidable_lt.equations._eqn_1 0.004580 s: omega.nat.neg_free_neg_elim_core 0.000282 s: monoid.End.inhabited.equations._eqn_1 0.000820 s: ring.fractional_ideal.has_inv.equations._eqn_1 0.001515 s: is_closed_property3 0.000274 s: dense_range.induction_on₃ 0.002621 s: category_theory.subobject.of_mk_le_arrow 0.004194 s: category_theory.subobject.complete_semilattice_Inf.equations._eqn_1 0.000366 s: CommGroup.comm_group_instance.equations._eqn_1 0.000440 s: is_add_group_hom.to_is_add_monoid_hom.equations._eqn_1 0.004747 s: algebra.lmul_left_right_apply 0.000236 s: category_theory.sum.inverse_associator._match_1.equations._eqn_2 0.001487 s: tactic_doc._1812527852 0.000257 s: buffer.map._sunfold 0.005585 s: free_abelian_group.is_comm_applicative.equations._eqn_1 0.008764 s: AddMon.forget_reflects_isos 0.002029 s: witt_vector.map_teichmuller 0.000166 s: equiv.perm_subsingleton.equations._eqn_1 0.001342 s: category_theory.grothendieck_topology.arrow_intersect 0.000889 s: category_theory.sieve.le_pullback_bind 0.031027 s: category_theory.classifier_is_sheaf 0.000287 s: monad_io_process.stdin 0.000072 s: io.proc.child.stdin 0.000072 s: io.proc.child.stdin.equations._eqn_1 0.003507 s: category_theory.bundled.no_confusion 0.000416 s: category_theory.bundled.mk.inj 0.000888 s: add_con.map._proof_1 0.000380 s: add_con.map 0.001718 s: add_con.quotient_quotient_equiv_quotient._proof_1 0.001054 s: add_con.quotient_quotient_equiv_quotient._proof_2 0.008904 s: add_con.quotient_quotient_equiv_quotient._proof_3 0.007001 s: add_con.quotient_quotient_equiv_quotient 0.003854 s: add_con.quotient_quotient_equiv_quotient.equations._eqn_1 0.000165 s: parser.step.cases_on 0.000809 s: except_t.monad_writer._match_2.equations._eqn_1 0.001158 s: sesq_form.is_ortho.equations._eqn_1 0.000044 s: doc_category.has_sizeof_inst 0.000208 s: tactic_doc_entry.sizeof 0.000016 s: tactic_doc_entry.has_sizeof_inst 0.010856 s: measure_theory.union_ae_eq_right 0.017011 s: subgroup.le_normalizer_of_normal 0.000102 s: omega.nat.preform.sub_subst.equations._eqn_3 0.000161 s: function.uncurry_def 0.007231 s: setoid.lift_equiv._match_1.equations._eqn_1 0.004929 s: mul_equiv_iso_Group_iso._proof_2 0.000894 s: mul_equiv_iso_Group_iso 0.001077 s: mul_equiv_iso_Group_iso.equations._eqn_1 0.000381 s: star_ring_of_comm._proof_1 0.003740 s: star_ring_of_comm._proof_2 0.001203 s: star_ring_of_comm 0.000375 s: category_theory.functor.inv.equations._eqn_1 0.000321 s: mul_aut.to_perm._proof_2 0.003242 s: rel_iso.trans.equations._eqn_1 0.001097 s: is_R_or_C.abs_to_complex 0.000991 s: finset.mul_antidiagonal_mono_right 0.000445 s: is_basis_of_dim_eq_zero 0.002061 s: submodule.linear_proj_of_is_compl_idempotent 0.000711 s: multiset.coe_sub 0.000259 s: measure_theory.integrable_on.mono_measure 0.001391 s: measure_theory.measure.restrict_add 0.000869 s: measure_theory.integrable_on.add_measure 0.000647 s: measure_theory.integrable_on_add_measure 0.014178 s: normed_space.dual.normed_space.equations._eqn_1 0.002172 s: add_comm_group.sub._default.equations._eqn_1 0.000468 s: function.comp_iterate_pred_of_pos 0.000466 s: sym.nil._proof_1 0.001967 s: sym.nil 0.001118 s: sym.nil.equations._eqn_1 0.002607 s: times_cont_diff_on.continuous_linear_map_comp 0.001992 s: times_cont_diff.continuous_linear_map_comp 0.210216 s: category_theory.limits.lim_yoneda._proof_2 0.000437 s: mvqpf.Mcongr.equations._eqn_1 0.000633 s: category_theory.structured_arrow.proj.equations._eqn_1 0.031659 s: finprod_mem_eq_prod_of_subset 0.000193 s: char.is_punctuation 0.000150 s: char.is_punctuation.equations._eqn_1 0.000682 s: set.range_factorization.equations._eqn_1 0.025560 s: category_theory.monad.monadicity_internal.comparison_adjunction.equations._eqn_1 0.006177 s: category_theory.limits.coprod.symmetry'_assoc 0.003508 s: lie_submodule.has_inf.equations._eqn_1 0.000062 s: onote.zero.inj_arrow 0.008536 s: multiset.to_finsupp_zero 0.000244 s: alist.replace 0.004629 s: list.perm.kreplace 0.000373 s: alist.perm_replace 0.000498 s: finmap.replace._proof_1 0.000228 s: finmap.replace 0.000245 s: finmap.replace.equations._eqn_1 0.001139 s: finmap.replace_to_finmap 0.001653 s: finmap.keys_ext 0.000302 s: alist.keys_replace 0.001939 s: finmap.keys_replace 0.003830 s: category_theory.adjunction.to_equivalence_functor 0.850694 s: Ring.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 0.000098 s: int.gcd_a._main 0.000009 s: int.gcd_a 0.004723 s: comm_monoid.sizeof 0.006639 s: comm_monoid.mk.sizeof_spec 0.000104 s: param_info.rec_on 0.001171 s: tree.index_of._main.equations._eqn_2 0.000306 s: vector.head.equations._eqn_2 0.006426 s: lcm_eq_one_iff 0.005180 s: universal_enveloping_algebra.lift_symm_apply 0.009306 s: universal_enveloping_algebra.hom_ext 0.003435 s: matrix.unitary_group.one_apply 0.011415 s: category_theory.limits.is_colimit.cocone_points_iso_of_nat_iso_hom_desc 0.003168 s: category_theory.limits.has_colimit.iso_of_nat_iso_hom_desc 0.003457 s: category_theory.limits.has_colimit.iso_of_nat_iso_hom_desc_assoc 0.000526 s: equiv.sum_equiv_sigma_bool._match_1.equations._eqn_1 0.000449 s: le_imp_le_iff_lt_imp_lt 0.000447 s: pequiv.of_set_eq_some_iff 0.001443 s: pequiv.inj 0.006504 s: pequiv.trans_symm 0.002716 s: pequiv.of_set_eq_refl 0.001746 s: pequiv.trans_symm_eq_iff_forall_is_some 0.003357 s: is_coatom_dual_iff_is_atom 0.008893 s: category_theory.ulift.equivalence_unit_iso_inv 0.004003 s: submodule.span_singleton_eq_range 0.001750 s: probability_theory.indep_sets.Inter 0.005667 s: polynomial.eval₂_nat_cast 0.003311 s: list.zip_with_eq_nil_iff 0.001410 s: fin.sub_def 0.000984 s: list.of_fn_aux._sunfold 0.000062 s: composition.inhabited 0.000927 s: is_min_on.on_preimage 0.000655 s: is_max_on.on_preimage 0.000584 s: is_extr_on.on_preimage 0.000180 s: dmatrix.add_monoid 0.005066 s: add_monoid_hom.map_dmatrix._proof_1 0.003894 s: dmatrix.map_add 0.001683 s: add_monoid_hom.map_dmatrix._proof_2 0.003876 s: add_monoid_hom.map_dmatrix 0.013024 s: matrix.unitary_group.star_monoid._proof_1 0.016651 s: matrix.unitary_group.star_monoid._proof_2 0.011043 s: matrix.unitary_group.star_monoid 0.009177 s: matrix.unitary_group.star_monoid.equations._eqn_1 0.001579 s: multiset.rel.drec_on 0.001122 s: parser.err_static.mmap._main.equations._eqn_1 0.000060 s: string.iterator.prevn._sunfold 0.001667 s: homeomorph.change_inv._proof_4 0.000371 s: ulift.mul_zero_class.equations._eqn_1 0.000147 s: setoid_has_equiv.equations._eqn_1 0.001666 s: zero_hom.cancel_right 0.000172 s: monotone.equations._eqn_1 0.000559 s: colex.has_lt.lt.is_irrefl.equations._eqn_1 0.013480 s: pi_tensor_product.lift.unique' 0.012494 s: pi_tensor_product.lift.unique 0.002874 s: opposite.comm_monoid.equations._eqn_1 0.000503 s: mvqpf.liftp_preservation 0.003986 s: mvqpf.liftp_iff_of_is_uniform 0.002261 s: mvpfunctor.supp_eq 0.002398 s: mvqpf.supp_preservation_iff_uniform 0.000393 s: mvqpf.liftp_preservation.equations._eqn_1 0.005178 s: mvqpf.supp_preservation_iff_liftp_preservation 0.000572 s: mvqpf.liftp_preservation_iff_uniform 0.000400 s: finset.strong_induction._main.equations._eqn_1 0.000207 s: finset.strong_induction.equations._eqn_1 0.000973 s: category_theory.limits.evaluation_preserves_colimits.equations._eqn_1 0.000204 s: wf_dvd_monoid.dcases_on 0.005697 s: with_top.linear_order.equations._eqn_1 0.002774 s: smooth_map.coe_zero 0.003724 s: monoid_hom.cod_restrict._proof_2 0.000064 s: znum.zneg._sunfold 0.000214 s: snum.bits._main.equations._eqn_1 0.000036 s: snum.bits.equations._eqn_1 0.016665 s: category_theory.mono_over_terminal_to_subterminals_comp 0.000384 s: monad_state_adapter.cases_on 0.000207 s: snum.zero.inj_eq 0.000156 s: algebraic_geometry.SheafedSpace.sheaf._proof_8 0.007772 s: subtype.add_monoid.equations._eqn_1 0.000183 s: category_theory.bundled_hom.map_hom.equations._eqn_1 0.106383 s: lie_equiv.of_eq.equations._eqn_1 0.001579 s: add_submonoid.is_add_submonoid.equations._eqn_1 0.000194 s: category_theory.limits.has_binary_biproducts.cases_on 0.011590 s: fin_equiv_powers.equations._eqn_1 0.002055 s: nat.decreasing_induction_succ' 0.006772 s: nat.decreasing_induction_succ_left 0.001138 s: bundle_trivialization.coe_fst_eventually_eq_proj' 0.000436 s: dmatrix.add_comm_monoid.equations._eqn_1 0.004510 s: times_cont_mdiff_map.comp_apply 0.000360 s: CompHaus.inhabited._proof_2 0.000467 s: add_monoid_hom.of.equations._eqn_1 0.002014 s: homeomorph.inv.equations._eqn_1 0.000277 s: equiv.neg.equations._eqn_1 0.000286 s: parser.fix_core.equations._eqn_1 0.000287 s: list.intersperse._main.equations._eqn_1 0.000107 s: list.intersperse.equations._eqn_1 0.003040 s: category_theory.limits.prod.diag_map_fst_snd_comp 0.002177 s: category_theory.limits.prod.diag_map_fst_snd_comp_assoc 0.036571 s: rat.algebra_rat.equations._eqn_1 0.000226 s: dense_range.some.equations._eqn_1 0.000055 s: rel.dom 0.293337 s: has_fderiv_at.sinh 0.273748 s: fderiv_sinh 0.000178 s: int.fdiv._sunfold 0.000783 s: generalized_continued_fraction.coe_to_generalized_continued_fraction 0.000092 s: quaternion_group.has_sizeof_inst 0.000286 s: onote.sub_NF.equations._eqn_1 0.001820 s: category_theory.limits.span_map_snd 0.000842 s: subsemiring.coe_inf 0.000146 s: bool.nontrivial.equations._eqn_1 0.029840 s: category_theory.iso.CommGroup_iso_to_mul_equiv_apply 0.005079 s: nonempty_fin_lin_ord.cases_on 0.019656 s: approximates_linear_on.mono_num 0.001346 s: continuous_linear_equiv.continuous_linear_map.has_coe.equations._eqn_1 0.015783 s: matrix.reindex_linear_equiv_symm 0.014063 s: times_cont_diff_groupoid_zero_eq 0.000265 s: decidable.subsingleton._match_3.equations._eqn_1 0.041021 s: has_ftaylor_series_up_to.has_fderiv_at 0.005184 s: category_theory.functor.map.split_epi.equations._eqn_1 0.000342 s: simple_graph.common_neighbors_symm 0.003968 s: simple_graph.card_common_neighbors_le_degree_right 0.000089 s: regular_expression.epsilon.inj 0.008200 s: euclidean_quadrant.inhabited.equations._eqn_1 0.003451 s: matrix.empty_mul_empty 0.000446 s: left_cancel_semigroup.rec_on 0.005541 s: neg_vadd_eq_iff 0.001655 s: uniform_continuous_nndist 0.000726 s: continuous_nndist 0.001655 s: measurable.nndist 0.000150 s: pnat.xgcd_type.v.equations._eqn_1 0.001941 s: finset.bUnion_inter 0.001107 s: finset.inter_bUnion 0.000228 s: associates.exists_rep 0.000276 s: commute.inv_right 0.000262 s: filter.eventually_le.is_local_min 0.000687 s: continuous_map.lattice._proof_5 0.000218 s: is_min_on.dual 0.000333 s: turing.TM0.stmt.map.equations._eqn_2 0.000428 s: computation.exists_of_lift_rel_left 9.939601 s: to_euclidean.equations._eqn_1 0.007215 s: sup_eq_iff_inf_eq 0.000359 s: category_theory.simple.rec_on 0.011740 s: category_theory.limits.types.filtered_colimit.is_colimit_of._proof_4 0.013644 s: measure_theory.integrable_at_filter.inf_of_left 0.000064 s: tactic.suggest.head_symbol_match.no_confusion_type 0.000209 s: tactic.suggest.head_symbol_match.no_confusion 0.004075 s: continuous_finprod 0.001801 s: continuous_finprod_cond 0.000083 s: ordered_cancel_add_comm_monoid.lt._default.equations._eqn_1 0.014522 s: has_fderiv_within_at.const_smul 0.023608 s: fderiv_within_const_smul 0.000217 s: rel_hom.no_confusion_type 0.000331 s: rel_hom.no_confusion 0.000293 s: rel_hom.mk.inj 0.000056 s: mk_simple_name.equations._eqn_1 0.006957 s: polynomial.is_splitting_field.alg_equiv.equations._eqn_1 0.002718 s: category_theory.action_category.hom_as_subtype 0.000158 s: turing.TM2.stmt.has_sizeof_inst 0.001366 s: turing.TM2.stmt.load.sizeof_spec 0.003412 s: nat.pred_eq_succ_iff 0.039757 s: simple_graph.odd_card_odd_degree_vertices_ne 0.013691 s: simple_graph.exists_ne_odd_degree_of_exists_odd_degree 0.002360 s: parser.mono.failure.equations._eqn_1 0.000095 s: pos_num.of_znum'._sunfold 0.000112 s: Meas.inhabited.equations._eqn_1 0.000667 s: hall_marriage_theorem.hall_hard_inductive_zero 0.001673 s: hall_marriage_theorem.hall_hard_inductive 0.002229 s: finset.all_card_le_bUnion_card_iff_exists_injective 0.000232 s: monoid.closure_mono 0.005033 s: monoid.mem_closure_union_iff 0.019998 s: group.mem_closure_union_iff 0.000841 s: quotient.decidable_eq.equations._eqn_1 0.036327 s: has_strict_deriv_at.csin 0.013748 s: mul_aut_arrow.equations._eqn_1 0.002985 s: add_con.quotient_ker_equiv_of_surjective._proof_1 0.003165 s: add_con.quotient_ker_equiv_of_surjective._proof_2 0.003421 s: add_con.quotient_ker_equiv_of_surjective._proof_3 0.000774 s: add_con.quotient_ker_equiv_of_surjective._proof_4 0.006274 s: add_con.quotient_ker_equiv_of_surjective 0.004286 s: add_con.quotient_ker_equiv_of_surjective.equations._eqn_1 0.003088 s: generalized_continued_fraction.coe_of_s_rat_eq 0.006248 s: cardinal.bit1_ne_zero 0.001334 s: tensor_algebra.to_exterior 0.000897 s: tensor_algebra.to_exterior.equations._eqn_1 0.002414 s: finmap.keys_singleton 0.001146 s: mul_divp_cancel 0.000466 s: triv_sq_zero_ext.mul_action.equations._eqn_1 0.000113 s: triv_sq_zero_ext.snd.equations._eqn_1 0.000133 s: Mon.of.equations._eqn_1 0.003142 s: filter.realizer.tendsto_iff 0.002214 s: ctop.realizer.tendsto_nhds_iff 0.000483 s: relation.trans_gen.drec_on 0.003173 s: category_theory.limits.types.binary_coproduct_colimit.equations._eqn_1 0.000084 s: cardinal.has_wf 0.000522 s: nhds_contain_boxes.equations._eqn_1 0.000129 s: is_equiv.rec_on 0.000523 s: set.surj_on_Inter_Inter 0.001183 s: set.bij_on_Inter 0.000454 s: set.bij_on_Inter_of_directed 0.001555 s: model_with_corners_self_boundaryless 0.000160 s: opposite.unop_eq_zero_iff 0.001639 s: unique_diff_within_at.drec_on 0.005237 s: mvpfunctor.W_path_cases_on.equations._eqn_1 0.000688 s: metric.completion.coe_isometry 0.000083 s: name.update_prefix._main.equations._eqn_1 0.000025 s: name.update_prefix.equations._eqn_1 0.002891 s: prime_spectrum.zero_locus_singleton_zero 0.000417 s: ordnode.valid'.mono_left 0.030414 s: max_inv_inv' 0.005791 s: subalgebra.no_confusion_type 0.004282 s: subalgebra.no_confusion 0.006447 s: quotient_add_group.quotient_ker_equiv_range 0.006589 s: quotient_add_group.quotient_ker_equiv_range.equations._eqn_1 0.000119 s: bounded_continuous_function.has_sizeof_inst 0.000158 s: holor.has_scalar 0.004591 s: holor.mul_scalar_mul 0.001086 s: list.alternating_prod_nil 0.001430 s: metric.ball_eq_ball' 0.003908 s: seq_compact.lebesgue_number_lemma_of_metric 0.003485 s: exterior_algebra.rel.drec_on 0.000091 s: has_sup.rec_on 0.000143 s: equiv.sigma_subtype_preimage_equiv._match_1 0.000097 s: equiv.sigma_subtype_preimage_equiv._proof_1 0.000020 s: lucas_lehmer.s 0.000126 s: lucas_lehmer.s.equations._eqn_2 0.001218 s: free_algebra.pre.binduction_on 0.000246 s: max.left_comm 0.000408 s: vadd_comm_class.drec 0.181677 s: bernstein_polynomial.eval_at_1 0.053655 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal_map_to_nat_trans_app 0.000747 s: metric.ball_zero 0.191051 s: padic.valuation_one 0.023656 s: Mon_.limit.equations._eqn_1 0.005858 s: fin.insert_nth_comp_succ_above 0.000859 s: sub_mul_action.mk.sizeof_spec 0.000118 s: list.has_repr.equations._eqn_1 0.075025 s: is_basis.to_dual_eq_equiv_fun 0.015306 s: category_theory.braided_category.rec_on 0.000551 s: list.has_dec_eq._sunfold 0.000273 s: thunk.decidable_eq._main._proof_1 0.000096 s: nat.monoid.prime_pow 0.000414 s: normed_group_hom.op_norm.equations._eqn_1 0.007254 s: real.Sup_univ 0.026654 s: category_theory.algebra_equiv_under.equations._eqn_1 0.000406 s: list.permutations_aux2._match_1.equations._eqn_1 0.059042 s: smooth_map_semimodule._proof_2 0.031861 s: linear_pmap.Sup_le 0.002103 s: category_theory.equiv_yoneda.equations._eqn_1 0.000176 s: NonemptyFinLinOrd.nonempty_fin_lin_ord.to_linear_order.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.025779 s: Mod.mk.inj_eq 0.001379 s: list.lookup_all._main.equations._eqn_2 0.371533 s: euclidean_geometry.cospherical_insert_singleton 0.000173 s: turing.to_partrec.cfg.halt.inj 0.000058 s: turing.to_partrec.cfg.halt.inj_arrow 0.029584 s: finset.lt_inf'_iff 0.060095 s: alg_equiv_matrix'.equations._eqn_1 0.023746 s: category_theory.pi.comap_eval_iso_eval._proof_1 0.000238 s: unsigned.has_variable_names 0.000103 s: unsigned.has_variable_names.equations._eqn_1 0.001059 s: filter.germ.const_top 0.005527 s: bit0_gsmul 0.000167 s: metric.glue_metric_approx._proof_1 0.001635 s: metric.glue_metric_approx._proof_2 0.002762 s: metric.glue_metric_approx 0.647931 s: Gromov_Hausdorff.GH_dist_le_of_approx_subsets 0.382153 s: abs_sub_lt_one_of_floor_eq_floor 0.571264 s: Gromov_Hausdorff.second_countable 0.645887 s: Gromov_Hausdorff.second_countable.equations._eqn_1 0.044970 s: turing.TM2.stmt.pop.sizeof_spec 0.002463 s: ideal.map_comap_le 0.000612 s: simple_graph.matching.is_perfect_iff 0.138977 s: linear_map.to_matrix_alg_equiv_id 0.016491 s: submodule.quot_equiv_of_eq.equations._eqn_1 0.000143 s: holor.has_neg 0.000338 s: qpf.W_setoid.equations._eqn_1 0.004291 s: tactic_doc._2073991972 0.002311 s: monotone.ne_of_lt_of_lt_nat 0.001719 s: Mon_.assoc_flip 0.017778 s: two_dvd_bit1 0.004064 s: complete_lattice.omega_complete_partial_order._match_2.equations._eqn_1 0.000177 s: fin2.ibelow 0.000318 s: fin2.binduction_on 0.006471 s: cardinal.omega_le_bit0 0.003731 s: multilinear_map.has_scalar.equations._eqn_1 0.001419 s: lattice.sizeof 0.000034 s: lattice.has_sizeof_inst 0.003190 s: metric.diam_union' 0.001489 s: Mon.colimits.desc_fun_lift._main.equations._eqn_2 0.000304 s: ufm_of_gcd_of_wf_dvd_monoid.equations._eqn_1 0.001470 s: continuous_within_at_Ico_iff_Ici 0.000539 s: subtype.fintype.equations._eqn_1 0.002805 s: category_theory.abelian.coimages.coimage_strong_epi_mono_factorisation._proof_1 0.001135 s: category_theory.abelian.coimages.coimage_strong_epi_mono_factorisation 0.002427 s: category_theory.abelian.coimage_iso_image 0.003632 s: category_theory.abelian.coimages.coimage_strong_epi_mono_factorisation_to_mono_factorisation_m 0.003219 s: category_theory.abelian.full_image_factorisation 0.000891 s: disjoint_self 0.001226 s: finset.disjoint_self_iff_empty 0.001191 s: path.sizeof 0.000074 s: path.has_sizeof_inst 0.000165 s: pfun.has_coe.equations._eqn_1 0.000597 s: pfunctor.mk.sizeof_spec 0.000070 s: unification_constraint.α 0.000048 s: unification_constraint.lhs 0.015846 s: category_theory.differential_object.shift_unit_inv_app_f 0.002270 s: nsmul_add_comm' 0.001899 s: category_theory.differential_object.shift_counit_iso.equations._eqn_1 0.001311 s: num.decidable_prime._sunfold 0.000419 s: left_ord_continuous.id 0.000873 s: left_ord_continuous.comp 0.000753 s: left_ord_continuous.iterate 0.002046 s: right_ord_continuous.iterate 0.001982 s: list.perm.sum_eq' 0.002090 s: homeomorph.sigma_prod_distrib._proof_1 0.001772 s: set.Union_image_preimage_sigma_mk_eq_self 0.001379 s: is_open_map_sigma 0.001513 s: homeomorph.sigma_prod_distrib._proof_2 0.000750 s: homeomorph.sigma_prod_distrib 0.000789 s: set.Ici.semilattice_inf_top._proof_6 0.000224 s: category_theory.monoidal_closed.mk.inj_arrow 0.004153 s: nat.dvd_sub' 0.000289 s: int.mul_lt_mul_of_neg_left 0.002486 s: add_monoid_hom.map_dmatrix_apply 0.025466 s: zmod.algebra.equations._eqn_1 0.003836 s: vector3.rec_on.equations._eqn_1 0.000299 s: ordinal.deriv.equations._eqn_1 0.001175 s: quotient_add_group.coe_zero 0.001680 s: pos_num.mod'.equations._eqn_1 0.002456 s: CommRing.colimits.colimit_is_colimit.equations._eqn_1 0.003990 s: nat.add_choose_mul_factorial_mul_factorial 0.052853 s: lie_module.coe_maximal_trivial_linear_map_equiv_lie_module_hom_apply 0.000411 s: equiv.add_zero_class._proof_1 0.000357 s: equiv.add_zero_class._proof_2 0.000928 s: equiv.add_zero_class 0.000282 s: has_lt.lt.is_incomp_trans.equations._eqn_1 0.000488 s: lie_algebra.orthogonal.S.equations._eqn_1 0.010190 s: inner_product_space.of_core.to_has_norm.equations._eqn_1 0.010225 s: filter.infi_is_measurably_generated.equations._eqn_1 0.001675 s: category_theory.preadditive.comp_add_assoc 0.005459 s: coe.is_group_hom.equations._eqn_1 0.001095 s: subsemiring.mk'_to_add_submonoid 0.000289 s: reader_t.mk_label._sunfold 0.000273 s: pos_num.land._main.equations._eqn_7 0.000036 s: pos_num.land.equations._eqn_7 0.000111 s: category_theory.with_initial.sizeof 0.000236 s: category_theory.with_initial.of.sizeof_spec 0.002858 s: algebraic_geometry.structure_sheaf.localizations.inhabited 0.003550 s: algebraic_geometry.structure_sheaf.localizations.inhabited.equations._eqn_1 0.000271 s: category_theory.skeleton.monoidal_category 0.000319 s: category_theory.skeleton.monoidal_category.equations._eqn_1 0.005117 s: list.traverse_append 0.001107 s: star_ring.mk.sizeof_spec 0.009250 s: padic_int.char_zero.equations._eqn_1 0.000294 s: category_theory.skeleton.inhabited.equations._eqn_1 0.003467 s: multilinear_map.comp_linear_map.equations._eqn_1 0.000189 s: relator.bi_total_eq 0.001471 s: category_theory.limits.binary_bicone.inl_fst' 0.002630 s: mul_equiv.prod_units._proof_5 0.001467 s: subgroup.right_coset_equiv_subgroup._proof_2 0.001115 s: affine_equiv.linear_vadd_const 0.029797 s: free_comm_ring_pempty_equiv_int 0.035976 s: free_comm_ring_pempty_equiv_int.equations._eqn_1 0.000491 s: pgame.inv_ty.right₁.inj 0.005003 s: pgame.inv_ty.right₁.inj_eq 0.000287 s: is_add_subgroup.rec_on 0.000288 s: structomorph.has_sizeof_inst 0.002262 s: affine_subspace.not_mem_bot 0.013629 s: topological_fiber_bundle_core.local_triv_trans 0.000230 s: turing.TM0.init.equations._eqn_1 0.000163 s: ring_hom.int.subsingleton_ring_hom.equations._eqn_1 0.000015 s: linarith.linarith_config.exfalso._default 0.004215 s: category_theory.over.coprod_obj_obj 0.002238 s: add_monoid_hom.coe_prod_map 0.000127 s: int.range.equations._eqn_1 0.001270 s: category_theory.functor.ess_image_inclusion_obj 0.004694 s: nnreal.semilattice_inf_bot 0.003208 s: nnreal.semilattice_inf_bot.equations._eqn_1 0.008126 s: multilinear_map.dom_dom_congr_trans 0.000041 s: char.has_lt.equations._eqn_1 0.000724 s: category_theory.with_initial.is_iso_of_to_star._aux_1 0.003754 s: category_theory.with_initial.is_iso_of_to_star 0.005665 s: linear_equiv.pi_ring 0.005091 s: linear_equiv.pi_ring.equations._eqn_1 0.000543 s: uniform_space.completion.inhabited.equations._eqn_1 0.000423 s: AddCommGroup.cokernel_iso_quotient._proof_2 0.001764 s: category_theory.limits.cone_of_split_mono_X 0.067880 s: is_Hausdorff.rec_on 0.000239 s: lazy_list.head._main.equations._eqn_1 0.000081 s: lazy_list.head.equations._eqn_1 0.000137 s: real.neg_sqrt_lt_of_sqr_lt 0.000117 s: linarith.linexp.cmp.equations._eqn_2 0.016625 s: category_theory.equalizer.presieve.first_map.equations._eqn_1 0.000107 s: alist.disjoint 0.006900 s: alist.union_comm_of_disjoint 0.005749 s: finmap.union_comm_of_disjoint 0.006906 s: free_monoid.map_comp 0.000073 s: computability.fin_encoding_nat_bool 0.000541 s: list.kunion._main.equations._eqn_1 0.000171 s: list.kunion.equations._eqn_1 0.001208 s: galois_connection.to_galois_insertion.equations._eqn_1 0.002417 s: turing.TM1to1.tr_normal._main.equations._eqn_1 0.000482 s: turing.TM1to1.tr_normal.equations._eqn_1 0.002257 s: category_theory.limits.is_limit.lift_comp_cone_points_iso_of_nat_iso_hom_assoc 0.012367 s: measure_theory.measure.regular.outer_regular_eq 0.005420 s: measure_theory.measure.regular.map 0.000543 s: measure_theory.measure.le_iff 0.038704 s: continuous_linear_map.apply_apply 0.010553 s: fin2.remap_left._main.equations._eqn_2 0.002595 s: tactic_doc._2369681427 0.000654 s: affine.simplex.no_confusion_type 0.031807 s: has_deriv_at.csin 0.036704 s: deriv_csin 0.012650 s: category_theory.limits.id_preserves_limits.equations._eqn_1 0.001115 s: with_zero.lift_zero 0.002020 s: list.all_some._main.equations._eqn_2 0.000147 s: list.all_some.equations._eqn_2 0.006182 s: polynomial.chebyshev.U_of_two_le 0.007355 s: boolean_algebra_Prop.equations._eqn_1 0.000180 s: pfunctor.M_intl.inhabited 0.000104 s: pfunctor.M_intl.inhabited.equations._eqn_1 0.001662 s: submodule.fg_of_linear_equiv 0.000040 s: tree.inhabited 0.000136 s: has_vsub.mk.inj_arrow 0.000670 s: ordnode.is_subset_aux._main.equations._eqn_3 0.000175 s: ordnode.is_subset_aux.equations._eqn_3 0.001069 s: is_smul_regular.not_zero_iff 0.000913 s: is_O_pow_pow_of_le_left 0.000222 s: set.mem_Iic_of_Iio 0.000227 s: alg_equiv.inhabited 0.000247 s: alg_equiv.inhabited.equations._eqn_1 0.001028 s: semi_normed_space.cases_on 0.000532 s: semi_normed_space.no_confusion_type 0.000967 s: semi_normed_space.no_confusion 0.001025 s: semi_normed_space.mk.inj 0.000436 s: Compactum.forget.creates_limits 0.000107 s: Compactum.category_theory.limits.has_limits 0.000092 s: Compactum.category_theory.limits.has_limits.equations._eqn_1 0.017330 s: bernstein_polynomial.map 0.000435 s: euclidean_space.inner_product_space.equations._eqn_1 0.014576 s: quotient_add_group.mk'.equations._eqn_1 0.004800 s: semiconj_by.fpow_right 0.000342 s: rat.num_denom_cases_on._sunfold 0.000170 s: field_of_integral_domain._proof_16 0.002437 s: rack.envel_action_prop 0.000092 s: ereal.neg.equations._eqn_3 0.000771 s: affine_subspace.direction.equations._eqn_1 0.001230 s: abstract_completion.map_comp 0.000047 s: vm_obj_kind.closure.inj_eq 0.000303 s: rack.pre_envel_group_rel.drec 0.001321 s: turing.TM1to1.writes._main.equations._eqn_5 0.004567 s: category_theory.mono_over.pullback.equations._eqn_1 0.000046 s: int.semigroup.equations._eqn_1 0.000426 s: tactic.ring2.horner_expr.add_aux._match_1.equations._eqn_2 0.004037 s: is_add_subgroup.add_normal_in_add_normalizer._match_1 0.003529 s: is_add_subgroup.add_normal_in_add_normalizer 0.000599 s: mem_closed_ball_iff_norm' 0.000089 s: to_additive.value_type.rec_on 0.005611 s: add_subgroup.prod_top 0.006703 s: algebra.tensor_product.alg_equiv_of_linear_equiv_triple_tensor_product._proof_4 0.001059 s: finset.prod_pair 0.001388 s: finset.prod_eq_mul_of_mem 0.001711 s: finset.prod_eq_mul 0.000680 s: fintype.prod_eq_mul 0.000111 s: list.mmap_accuml 0.000420 s: list.mmap_accuml.equations._eqn_1 0.000300 s: tactic.rewrite_cfg.mk.inj 0.000179 s: tactic.rewrite_cfg.mk.inj_arrow 0.001380 s: sigma_compact_space_of_locally_compact_second_countable 0.001212 s: nat.arithmetic_function.coe_zeta_unit 0.004009 s: ideal.is_primary.to_is_prime 0.000289 s: ideal.is_jacobson.drec 0.000469 s: rel_hom.ext_iff 0.000235 s: with_zero.semiring._proof_8 0.000136 s: ordinal.mul_right_inj 0.000242 s: list.take_list._match_1.equations._eqn_1 0.000338 s: nat.sub_induction._main.equations._eqn_1 0.000156 s: nat.sub_induction.equations._eqn_1 0.002614 s: continuous_linear_equiv.comp_differentiable_at_iff 0.005135 s: linear_isometry_equiv.comp_differentiable_at_iff 0.003777 s: wseq.destruct_map 0.000240 s: wseq.lift_rel_o.equations._eqn_3 0.008066 s: wseq.lift_rel_map 0.003128 s: polynomial.support_C_mul_X_pow_nonzero 0.000622 s: category_theory.split_epi.of_iso.equations._eqn_1 0.000340 s: quiver.hom.op.equations._eqn_1 0.002109 s: add_submonoid.subtype.equations._eqn_1 0.214866 s: algebra.finite_presentation.iff_quotient_mv_polynomial' 0.000214 s: bitvec.ugt.decidable 0.102374 s: one_div_lt_one_div_of_lt 0.007428 s: pmf.of_multiset.equations._eqn_1 0.000063 s: tactic.ring_exp.ex_type.sum.sizeof_spec 0.002705 s: measure_theory.ae_map_iff 0.004670 s: category_theory.limits.cocones.equivalence_of_reindexing_functor_obj 0.006375 s: subring.nontrivial.equations._eqn_1 0.001904 s: is_add_group_hom.trivial_ker_iff_eq_zero 0.014256 s: ring_hom.ker_eq_bot_iff_eq_zero 0.001842 s: quaternion_group.decidable_eq 0.000586 s: quaternion_group.nontrivial 0.000542 s: quaternion_group.nontrivial.equations._eqn_1 0.001645 s: ordinal.rel_iso_enum 0.000452 s: set.bInter_mono 0.007695 s: pfun.fix_induction.equations._eqn_1 0.005477 s: submodule.range_of_le 0.006502 s: lie_module_hom.zero_apply 0.000397 s: ae_measurable.sub_const 0.000067 s: ordering.decidable_eq._match_4._proof_1 0.000116 s: ordering.decidable_eq._match_4.equations._eqn_1 0.001004 s: semi_norm_snd_le 0.000151 s: free_magma.ibelow 0.000147 s: list.modify_last.equations._eqn_1 0.000395 s: slim_check.gen.resize._match_1.equations._eqn_1 0.009784 s: polynomial.derivative_lhom 0.000179 s: quiver.arborescence.rec_on 0.001990 s: Compactum.Lim_eq_str 0.001158 s: category_theory.monoidal_category.tensor_unit_right.equations._eqn_1 0.000061 s: Mon.equations._eqn_1 0.347547 s: real.cos_pi_div_six 0.234847 s: real.sin_pi_div_three 0.000105 s: cardinal.has_pow.equations._eqn_1 0.001346 s: bounded_continuous_function.has_neg.equations._eqn_1 0.000353 s: parser.err_static.one_of 0.000101 s: parser.err_static.one_of' 0.000082 s: parser.err_static.one_of'.equations._eqn_1 0.000071 s: tactic.ring_exp.ex_type.cases_on 0.000052 s: tactic.ring_exp.ex_type.no_confusion_type 0.000210 s: tactic.ring_exp.ex_type.no_confusion 0.000353 s: set.enumerate._sunfold 0.004482 s: punit.canonically_ordered_add_monoid.equations._eqn_1 0.019975 s: finset.nat.sum_antidiagonal_subst 0.134398 s: polynomial.degree_eq_card_roots 0.015832 s: category_theory.grothendieck_topology.right_ore_of_pullbacks 0.000141 s: fin.succ_rec_on 0.000062 s: linear_ordered_semiring.lt._default 0.000105 s: linear_ordered_semiring.lt._default.equations._eqn_1 0.000176 s: free_add_semigroup.lift.equations._eqn_1 0.000200 s: set.set_of_app_iff 0.001991 s: local_equiv.is_image.restr_symm_apply 0.000052 s: num.nat_size.equations._eqn_2 0.000478 s: continuous_map_add_semigroup.equations._eqn_1 0.013257 s: list.forall₂_zip 0.001851 s: category_theory.functor.map_iso_trans 0.000442 s: category_theory.functor.map_Aut._proof_1 0.000030 s: congr_arg_kind.inhabited 0.000205 s: seq_compact_space.rec_on 0.000279 s: turing.id_computer.equations._eqn_1 0.002274 s: category_theory.SheafOfTypes_to_presheaf_obj 0.001967 s: sub_neg_monoid.cases_on 0.001311 s: sub_neg_monoid.no_confusion_type 0.001084 s: circle_deg1_lift.lt_map_of_int_lt_translation_number 0.001586 s: circle_deg1_lift.lt_map_of_nat_lt_translation_number 0.000179 s: modify 0.019150 s: category_theory.Mat_.additive_obj_iso_biproduct_inv 0.003443 s: differentiable_within_at.comp' 0.000820 s: nat.digit_succ._main.equations._eqn_2 0.000106 s: nat.digit_succ.equations._eqn_2 0.005867 s: category_theory.monoidal.lax_to_transported_ε 0.004509 s: affine.simplex.sum_circumcenter_weights_with_circumcenter 0.000865 s: mul_equiv.coe_prod_comm 0.011347 s: category_theory.algebra_equiv_under_unit_iso 0.001484 s: is_poly.drec_on 0.000083 s: Cauchy.nonempty 0.009325 s: set.Iic.semilattice_sup_bot.equations._eqn_1 0.003124 s: mul_semiring_action_hom.map_neg 0.000296 s: omega.int.preform.and.inj_eq 0.000439 s: slim_check.tree.sample._main.equations._eqn_1 0.000297 s: slim_check.tree.sample.equations._eqn_1 0.000087 s: list.reverse.equations._eqn_1 0.000135 s: NFA.sizeof 0.000578 s: NFA.mk.sizeof_spec 0.008190 s: category_theory.sieve.nat_trans_of_le.equations._eqn_1 0.000987 s: free_abelian_group.of_mul_hom_coe 0.002623 s: polynomial.nat_degree_mul_C_eq_of_mul_ne_zero 0.003646 s: polynomial.nat_degree_mul_C_eq_of_no_zero_divisors 0.000474 s: fin_enum.mk.inj 0.000260 s: fin_enum.mk.inj_arrow 0.001278 s: cardinal.mk_compl_eq_mk_compl_finite 0.003768 s: mvpfunctor.M.corec_contents._main._proof_2 0.004469 s: mvpfunctor.M.corec_contents._main._proof_3 0.016841 s: mvpfunctor.M.corec_contents._main.equations._eqn_2 0.002612 s: mvpfunctor.M.corec_contents.equations._eqn_2 0.004221 s: category_theory.limits.cone.extend.equations._eqn_1 0.000174 s: coe_trans_aux.equations._eqn_1 0.002647 s: with_top.char_zero 0.003664 s: with_top.char_zero.equations._eqn_1 0.000562 s: _private.146369957.inv._main.equations._eqn_2 0.098971 s: is_prime.to_maximal_ideal 0.000697 s: Ring.forget₂_SemiRing_preserves_limits 0.000288 s: Ring.forget₂_SemiRing_preserves_limits.equations._eqn_1 0.000717 s: joined_in.mono 0.000197 s: hyperreal.inhabited 0.000365 s: category_theory.sieve.sizeof 0.000773 s: category_theory.sieve.mk.sizeof_spec 0.000292 s: slim_check.sampleable_functor.rec_on 0.025352 s: additive.add_comm_group.equations._eqn_1 0.008086 s: category_theory.monad.forget_creates_limits.equations._eqn_1 0.005333 s: category_theory.comonad.cases_on 0.005420 s: category_theory.monoidal_of_has_finite_coproducts.tensor_hom 0.000319 s: category_theory.limits.has_limits.drec_on 0.000143 s: assert 0.021122 s: submodule.coe_scott_continuous 0.000107 s: category_theory.Aut.equations._eqn_1 0.000221 s: pSet.func._main.equations._eqn_1 0.000410 s: list.enum_from._main.equations._eqn_1 0.000111 s: list.enum_from.equations._eqn_1 0.016142 s: list.mem_enum_from 0.001112 s: Sup_Prop_eq 0.001871 s: mvqpf.comp.map.equations._eqn_1 0.000268 s: order.ideal.is_maximal.rec_on 0.010606 s: category_theory.monoidal.lax_to_transported_μ 0.001535 s: category_theory.limits.diagram_of_cones.cone_points_obj 0.000181 s: hyperreal.not_infinite_pos_of_infinite_neg 0.000113 s: hyperreal.infinite_neg_add_infinite_neg 0.000909 s: quiver.path.reverse._main.equations._eqn_1 0.001492 s: polynomial.coeff_monomial_succ 0.113743 s: polynomial.mod_eq_self_iff 0.024302 s: category_theory.limits.prod.associator_naturality_assoc 0.006063 s: has_fderiv_within_at.const_sub 0.008633 s: add_monoid_hom.coprod_unique 0.008896 s: add_monoid_hom.coprod_inl_inr 0.002267 s: algebraic_geometry.PresheafedSpace.mk.inj_eq 0.000121 s: iff_false_left 0.000238 s: omega.nat.preterm.var.sizeof_spec 0.010368 s: tactic_doc._4093126945 0.000727 s: units.topological_space.equations._eqn_1 0.001544 s: pseudo_emetric_space.mk.inj 0.001500 s: pseudo_emetric_space.mk.inj_arrow 0.003759 s: category_theory.induced_category.groupoid._proof_4 0.002058 s: alist.insert_insert 0.001243 s: finmap.insert_insert 0.000351 s: preorder_hom.partial_order.equations._eqn_1 0.000335 s: parser.step.one_of 0.000089 s: parser.step.one_of' 0.000370 s: encodable.sigma.equations._eqn_1 0.035079 s: zmod.legendre_sym_eq_one_iff 0.027347 s: algebra.map_bot 0.018837 s: equiv.perm.is_cycle.gpowers_equiv_support_symm_apply 0.002591 s: Set.sep._match_3.equations._eqn_1 0.006148 s: zsqrtd.norm_monoid_hom.equations._eqn_1 0.006361 s: category_theory.monad.forget_creates_colimits.γ_app 0.000611 s: add_con.has_Inf.equations._eqn_1 0.000234 s: additive.add_right_cancel_monoid._proof_3 0.000688 s: additive.add_right_cancel_monoid._proof_5 0.000447 s: additive.add_right_cancel_monoid._proof_6 0.001962 s: additive.add_right_cancel_monoid 0.000407 s: simple_graph.compl_adj 0.001334 s: simple_graph.compl_compl 0.000857 s: submodule.unique_bot.equations._eqn_1 0.000025 s: tactic.interactive.case_tag.match_result.exact_match.inj 0.000022 s: tactic.interactive.case_tag.match_result.exact_match.inj_arrow 0.001642 s: valuation.mk.inj_arrow 0.000426 s: measure_theory.measure.mk_metric'.equations._eqn_1 0.024032 s: category_theory.coyoneda.equations._eqn_1 0.000140 s: category_theory.with_initial.star.inj 0.004701 s: list.chain_split 0.002950 s: list.chain'_split 0.000835 s: mvqpf.comp.mk.equations._eqn_1 0.000805 s: rand_nat.equations._eqn_1 0.023160 s: CommMon_Type_equivalence_CommMon._proof_13 0.017419 s: category_theory.coyoneda_jointly_reflects_limits._proof_2 0.028773 s: category_theory.coyoneda_jointly_reflects_limits._proof_3 0.019606 s: category_theory.coyoneda_jointly_reflects_limits 0.000139 s: punit.discrete_topology.equations._eqn_1 0.000412 s: direct_sum.ghas_one.mk.sizeof_spec 0.000242 s: sSet.truncated.has_colimits 0.000053 s: comm_group.has_sizeof_inst 0.000276 s: has_exists_add_of_le.rec_on 0.002464 s: ring_hom.finite_presentation.of_surjective 0.003198 s: alg_hom.finite_presentation.of_surjective 0.001752 s: with_zero.coe_add_hom.equations._eqn_1 0.000362 s: set.sep_set_of 0.000191 s: no_top_order.drec_on 0.001651 s: group_with_zero.cancel_monoid_with_zero.equations._eqn_1 0.003902 s: Module.colimits.desc_fun_lift._main.equations._eqn_2 0.000302 s: dense_embedding.drec_on 0.000378 s: int.div_eq_div_of_mul_eq_mul 0.245894 s: homothety_inv_two 0.186456 s: homothety_one_half 0.023746 s: ordinal.le._match_3.equations._eqn_1 0.000196 s: sigma_compact_space.rec_on 0.000346 s: int.sub_lt_sub_right 0.020780 s: is_closed_proj_of_compact 0.000815 s: category_theory.yoneda_pairing.equations._eqn_1 0.002656 s: hom_coe_pow 0.000156 s: lift_fn_dom 0.000180 s: io.random 0.003797 s: lie_module_equiv.sizeof 0.006418 s: lie_module_equiv.mk.sizeof_spec 0.000526 s: free_semigroup.traverse.equations._eqn_1 0.005493 s: list.ordered_insert_count 0.001606 s: nnreal.tendsto_inverse_at_top_nhds_0_nat 0.000304 s: pfunctor.M.dest._sunfold 0.000193 s: connected_space.dcases_on 0.001210 s: connected_space_iff_connected_component 0.002665 s: multiset.lcm_union 0.001968 s: comm_cancel_monoid_with_zero.no_confusion_type 0.000342 s: set.finite.add 0.000745 s: set.not_mem_interval_of_gt 0.190887 s: integral_inv_of_neg 0.179822 s: integral_one_div_of_neg 0.001755 s: Group.group_obj.equations._eqn_1 0.000369 s: norm_num.dvd_eq_nat 0.021014 s: ennreal.top_ne_of_real 0.000440 s: slim_check.or_counter_example._main.equations._eqn_9 0.000154 s: slim_check.or_counter_example.equations._eqn_9 0.142388 s: interval_integral.inv_smul_integral_comp_sub_div 0.178510 s: interval_integral.inv_mul_integral_comp_sub_div 0.025225 s: alternating_map.coe_zero 0.010700 s: typevec.of_subtype'._sunfold 0.000053 s: pnat.gcd_d.equations._eqn_1 0.000253 s: binder_info.brackets._main.equations._eqn_1 0.000418 s: qpf.is_uniform.equations._eqn_1 0.001950 s: category_theory.grothendieck_topology.trivial_eq_bot 0.000223 s: category_theory.limits.has_limits_of_shape_of_has_finite_limits.equations._eqn_1 0.000387 s: ulift.add_equiv._proof_1 0.000216 s: ulift.add_equiv._proof_2 0.000243 s: ulift.add_equiv 0.000503 s: category_theory.is_kernel_pair.id_of_mono._proof_1 0.005527 s: category_theory.is_kernel_pair.id_of_mono._proof_3 0.002388 s: category_theory.is_kernel_pair.id_of_mono 0.000134 s: measure_theory.ae_eq_fun.lift_pred 0.017514 s: no_zero_smul_divisors.of_division_ring.equations._eqn_1 0.000339 s: semiquot.of_trunc 0.004372 s: contracting_with.apriori_edist_iterate_efixed_point_le' 0.005825 s: contracting_with.edist_efixed_point_le' 0.000063 s: parser.monad_fail 0.004982 s: sym2.other_invol' 0.000663 s: char_zero_of_exp_char_one' 0.000571 s: char_zero_of_exp_char_one'.equations._eqn_1 0.000198 s: real.sqrt_ne_zero 0.090551 s: has_strict_fderiv_at.ccosh 0.024352 s: ordnode.of_asc_list_aux₁._main._pack.equations._eqn_2 0.002922 s: fin_two_equiv._proof_1 0.000395 s: fin_two_equiv._proof_2 0.000443 s: fin_two_equiv 0.000423 s: fin_two_equiv.equations._eqn_1 0.000148 s: znum.div._main.equations._eqn_2 0.000716 s: category_theory.subobject.complete_lattice._proof_11 0.000575 s: nat.fib_two 0.000552 s: list.argmin_nil 0.002079 s: category_theory.monoidal.tensor_obj_obj 0.000353 s: list.lex.is_order_connected.equations._eqn_1 0.000228 s: slim_check.gen.resize.equations._eqn_1 0.000282 s: add_monoid_hom.id.equations._eqn_1 0.000316 s: omega.int.dnf_core._main.equations._eqn_1 0.008375 s: linear_map.quot_ker_equiv_range_symm_apply_image 0.000940 s: category_theory.monoidal_category.tensor_right_obj 0.013799 s: associates.dvd_not_unit_iff_lt 0.004971 s: wf_dvd_monoid.of_well_founded_associates 0.000752 s: witt_vector.verschiebung_is_poly.comp₂_i 0.001211 s: category_theory.decomposed_equiv_functor 0.008485 s: category_theory.limits.types.pullback_iso_pullback_hom_fst 0.000170 s: hyperreal.lt_of_st_lt 0.000074 s: doc_category.cmd.sizeof_spec 0.055258 s: is_R_or_C.div_im 0.001215 s: contracting_with.fixed_point_is_fixed_pt 0.000196 s: contracting_with.fixed_point_unique 0.008356 s: contracting_with.tendsto_iterate_fixed_point 0.002200 s: mv_polynomial.zero_locus_vanishing_ideal_le 0.022386 s: map_coe_Iio_at_top 0.004202 s: tendsto_comp_coe_Iio_at_top 0.002867 s: category_theory.Mat_.id_def 0.000027 s: nat.partrec.code.inhabited 0.000338 s: option.has_to_string._match_1.equations._eqn_1 0.002875 s: function.injective.cancel_monoid_with_zero._proof_2 0.000126 s: num.mod._sunfold 0.000224 s: lists'.rec_on 0.000441 s: bin_tree.node.inj 0.000254 s: equiv.Prop_equiv_bool.equations._eqn_1 0.001403 s: category_theory.limits.functor_category_has_colimits_of_shape.equations._eqn_1 0.000135 s: min_right_comm 0.000229 s: set_like.mk.inj_arrow 0.008180 s: category_theory.cofinal.extend_cone_map_hom 0.001350 s: quiver.arborescence_mk.equations._eqn_1 0.000653 s: function.injective.linear_ordered_cancel_comm_monoid._proof_2 0.015040 s: function.injective.linear_ordered_cancel_comm_monoid._proof_3 0.019870 s: function.injective.linear_ordered_cancel_comm_monoid._proof_4 0.020812 s: function.injective.linear_ordered_cancel_comm_monoid._proof_5 0.021881 s: function.injective.linear_ordered_cancel_comm_monoid._proof_6 0.019146 s: function.injective.linear_ordered_cancel_comm_monoid._proof_9 0.020549 s: function.injective.linear_ordered_cancel_comm_monoid._proof_10 0.020568 s: function.injective.linear_ordered_cancel_comm_monoid._proof_12 0.004894 s: function.injective.linear_ordered_cancel_comm_monoid._proof_13 0.016730 s: function.injective.linear_ordered_cancel_comm_monoid._proof_15 0.056183 s: function.injective.linear_ordered_cancel_comm_monoid 0.000765 s: submonoid.to_linear_ordered_cancel_comm_monoid._proof_2 0.013179 s: submonoid.to_linear_ordered_cancel_comm_monoid 0.004767 s: submonoid.to_linear_ordered_cancel_comm_monoid.equations._eqn_1 0.039201 s: nat.wf_dvd_monoid.equations._eqn_1 0.011495 s: topological_space.opens.mem_Sup 0.007772 s: topological_space.opens.is_basis_iff_cover 0.006275 s: complete_lattice.independent.comp 0.000662 s: category_theory.induced_category.concrete_category.equations._eqn_1 0.004833 s: filter.Liminf_bot 0.011898 s: order.iso_of_countable_dense 0.014746 s: order.iso_of_countable_dense.equations._eqn_1 0.000780 s: finset.lt_wf 0.070342 s: category_theory.monoidal.Mon_functor_category_equivalence.functor_obj_map_hom 0.001264 s: complex.abs_inv 0.000108 s: field_of_integral_domain._proof_3 0.000041 s: znum.zero.inj_arrow 0.009490 s: is_coatomic.dcases_on 0.036355 s: ideal.mul_mono 0.000430 s: turing.tm2_computable_aux.rec_on 0.000636 s: dfinsupp.inhabited.equations._eqn_1 0.085036 s: euclidean_geometry.dist_reflection 0.137519 s: abs_le_of_sqr_le_sqr 0.184717 s: abs_le_of_sqr_le_sqr' 0.000332 s: function.is_periodic_pt.mod 0.018421 s: function.is_periodic_pt.gcd 0.011529 s: bitraversable.comp_tfst 0.004551 s: submodule.semimodule_set._proof_1 0.000719 s: submodule.semimodule_set._proof_4 0.031295 s: submodule.semimodule_set 0.019997 s: submodule.smul_singleton 0.016195 s: finset.prod_inv_distrib' 0.004670 s: submodule.quot_equiv_of_eq_bot_symm_apply 0.000244 s: mvqpf.prj.inhabited 0.000349 s: omega_limit_mono_left 0.000630 s: fin2.cases'._main.equations._eqn_2 0.002364 s: mul_self_sub_one 0.000206 s: add_ne_add_left 0.002211 s: ring.fractional_ideal.exists_mem_to_map_eq 0.004155 s: ring.fractional_ideal.coe_to_fractional_ideal_injective 0.000135 s: category_theory.comonad_hom.has_sizeof_inst 0.000028 s: tactic.suggest.head_symbol_match.both.inj 0.000020 s: tactic.suggest.head_symbol_match.both.inj_arrow 0.005019 s: sym.cons_swap 0.000099 s: sigma.inhabited 0.000177 s: parser.static.decorate_error.equations._eqn_1 0.002009 s: multiset.is_lawful_functor.equations._eqn_1 0.000071 s: snum.test_bit.equations._eqn_2 0.000046 s: lint_verbosity.medium.sizeof_spec 0.005919 s: Inf_sup_le_infi_sup 0.001934 s: con.quotient_quotient_equiv_quotient._proof_2 0.004097 s: con.quotient_quotient_equiv_quotient 0.003801 s: con.quotient_quotient_equiv_quotient.equations._eqn_1 0.000144 s: free_algebra.pre.of.inj_arrow 0.002943 s: sub_mul_action.mul_action'.equations._eqn_1 0.001784 s: measure_theory.L1.measurable_coe_fn 0.012730 s: category_theory.adjunction.cones_iso_component_inv_app 0.003698 s: list.nth_zero_scanl 0.004949 s: list.nth_succ_scanl 0.000143 s: is_compact.is_complete 0.006124 s: free_group.lift.range_eq_closure 0.001352 s: list.perm_lookup_all 0.000187 s: NFA.cases_on 0.000142 s: NFA.no_confusion_type 0.000418 s: NFA.no_confusion 0.000354 s: NFA.mk.inj 0.000262 s: NFA.mk.inj_arrow 0.020875 s: 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bernstein_polynomial.linear_independent 0.000397 s: real.partial_order.equations._eqn_1 0.000307 s: has_measurable_div.drec_on 0.000119 s: int.add_nonpos 0.038916 s: pgame.one_left_wins 0.058828 s: AddCommGroup.as_hom.equations._eqn_1 0.000085 s: tactic.unfold_config.canonize_instances._default.equations._eqn_1 0.000504 s: znum.zneg_bitm1 0.000265 s: add_con.add_group._proof_3 0.007650 s: add_con.add_group._proof_4 0.000240 s: add_con.add_group._proof_6 0.000156 s: add_con.add_group._proof_8 0.003130 s: add_con.add_group._proof_10 0.008398 s: add_con.add_group 0.003224 s: add_con.add_group.equations._eqn_1 0.000127 s: mul_aut.equations._eqn_1 0.000066 s: nat.choose.equations._eqn_3 0.000079 s: nat.partrec.code.curry.equations._eqn_1 0.005025 s: parser.step.any_char.equations._eqn_1 0.000110 s: has_compl.mk.inj_arrow 0.001143 s: subsemiring.prod_equiv._proof_1 0.005227 s: is_R_or_C.inv_zero 0.000069 s: option.has_repr 0.001872 s: typevec.subtype_val._main.equations._eqn_1 0.006951 s: 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subgroup.mem_supr_of_mem 0.001203 s: category_theory.limits.biproduct.is_colimit.equations._eqn_1 0.000746 s: add_units.ordered_add_comm_group._proof_4 0.000336 s: add_units.ordered_add_comm_group._proof_8 0.000190 s: add_units.ordered_add_comm_group._proof_9 0.000722 s: add_units.ordered_add_comm_group._proof_11 0.000667 s: add_units.ordered_add_comm_group._proof_12 0.002485 s: add_units.ordered_add_comm_group._proof_13 0.006164 s: add_units.ordered_add_comm_group 0.007373 s: add_units.ordered_add_comm_group.equations._eqn_1 0.076108 s: CommRing.has_forget_to_CommSemiRing.equations._eqn_1 0.053057 s: category_theory.comma.map_left_id.equations._eqn_1 0.004167 s: category_theory.core.id_hom 0.022106 s: measure_theory.le_induced_outer_measure 0.000150 s: equiv.conj.equations._eqn_1 0.013120 s: nat.of_digits_singleton 0.021210 s: nat.pow_length_le_mul_of_digits 0.001627 s: nat.digits_zero 0.004450 s: nat.digits_eq_nil_iff_eq_zero 0.000209 s: nat.digits_ne_nil_iff_ne_zero 0.000250 s: list.last.equations._eqn_1 0.021684 s: nat.digits_of_lt 0.022551 s: nat.last_digit_ne_zero 0.006849 s: nat.base_pow_length_digits_le' 0.209366 s: nat.base_pow_length_digits_le 0.066402 s: _private.2316404473.make_monospaced._main.equations._eqn_1 0.000106 s: _private.2316404473.make_monospaced.equations._eqn_1 0.014672 s: localization.away.of 0.032016 s: algebraic_geometry.to_basic_open 0.031864 s: algebraic_geometry.to_basic_open.equations._eqn_1 0.000092 s: primrec.nat_mul 0.000835 s: arity._main.equations._eqn_2 0.000060 s: NonemptyFinLinOrd.inhabited 0.000106 s: NonemptyFinLinOrd.inhabited.equations._eqn_1 0.010382 s: surj_on_Icc_of_monotone_surjective 0.000142 s: _nest_1_1.list.tactic.tactic_script.cons.inj_arrow 0.001117 s: tactic_doc._1090827559 0.000189 s: one_hom.id.equations._eqn_1 0.001137 s: ordnode.split_max'._main.equations._eqn_2 0.000156 s: ordnode.split_max'.equations._eqn_2 0.000088 s: ordnode.find_max'.equations._eqn_2 0.003935 s: ordnode.split_max_eq 0.000974 s: ordnode.glue._match_1.equations._eqn_1 0.008780 s: ordnode.valid'.erase_max_aux 0.005701 s: ordnode.find_max'_all 0.003550 s: ordnode.bounded.to_nil 0.000667 s: ordnode.glue._match_2.equations._eqn_1 0.002550 s: ordnode.valid'.erase_min_aux 0.000459 s: ordnode.valid'.of_lt 0.003119 s: ordnode.find_min'_all 0.051332 s: ordnode.valid'.glue_aux 0.000648 s: ordnode.valid'.trans_right 0.005650 s: ordnode.valid'.glue 0.009013 s: measurable_liminf 0.004358 s: measure_theory.integrable.to_L1_eq_mk 0.001933 s: localization.inhabited 0.000657 s: localization.inhabited.equations._eqn_1 0.000432 s: simple_graph.matching.cases_on 0.000325 s: simple_graph.matching.no_confusion_type 0.000527 s: simple_graph.matching.no_confusion 0.000843 s: simple_graph.matching.mk.inj 0.000460 s: simple_graph.matching.mk.inj_arrow 0.000049 s: tactic.interactive.mono_selection.sizeof 0.000029 s: tactic.interactive.mono_selection.has_sizeof_inst 0.000347 s: filter.pure_sets 0.000223 s: add_subgroup.to_subgroup' 0.000133 s: equiv_equiv_iso 0.000911 s: equiv_equiv_iso_inv 0.000073 s: slim_check.int.has_sizeof.equations._eqn_1 0.002203 s: continuous_at_left_of_mono_incr_on_of_image_mem_nhds_within 0.004314 s: equiv.subtype_subtype_equiv_subtype_apply 0.000469 s: applicative_transformation.congr_arg 0.003178 s: set.monotone_proj_Icc 0.001499 s: monotone.Icc_extend 0.018373 s: real.monotone_arcsin 0.008801 s: list.nth_injective 0.001421 s: measure_theory.measure.regular.rec_on 0.000456 s: cardinal.le_lift_iff 0.018682 s: category_theory.lax_braided_functor.map_CommMon.equations._eqn_1 0.030139 s: with_zero.canonically_ordered_add_monoid._proof_14 0.004677 s: category_theory.limits.has_zero_morphisms.mk.inj 0.002252 s: category_theory.limits.has_zero_morphisms.mk.inj_arrow 0.010292 s: enat.ordered_add_comm_monoid._match_1.equations._eqn_1 0.000329 s: int.land._main.equations._eqn_2 0.000464 s: add_submonoid.monotone_comap 0.002285 s: finset.piecewise_mem_set_pi 0.066078 s: category_theory.pi.sum.equations._eqn_1 0.000146 s: list.disjoint_of_nodup_append 0.000828 s: Top.presheaf.stalk_to_fiber.equations._eqn_1 0.000164 s: linear_recurrence.rec_on 0.000091 s: ordnode.to_rev_list 0.000123 s: ordnode.to_rev_list.equations._eqn_1 0.010924 s: Set.image._match_1.equations._eqn_1 0.299429 s: ADE_inequality.lt_three 0.000266 s: pnat.bot_eq_zero 0.000121 s: pnat.mk_one 0.000208 s: ADE_inequality.admissible_D' 0.138172 s: ADE_inequality.admissible_of_one_lt_sum_inv_aux' 0.019219 s: lcm_mul_left 0.002420 s: lcm_mul_right 0.000044 s: tactic.abel.normalize_mode.sizeof 0.000040 s: tactic.abel.normalize_mode.term.sizeof_spec 0.015104 s: finsupp_lequiv_direct_sum.equations._eqn_1 0.000415 s: classical.strong_indefinite_description.equations._eqn_1 0.089726 s: is_R_or_C.conj_li.equations._eqn_1 0.013886 s: is_open_const 0.014457 s: is_closed_set_of_cluster_pt 0.000558 s: continuous.drec_on 0.000971 s: SemiRing.forget₂_AddCommMon_preserves_limits 0.000596 s: SemiRing.forget₂_AddCommMon_preserves_limits.equations._eqn_1 0.002666 s: associates.out._match_1.equations._eqn_1 0.000239 s: turing.TM0.cfg.rec_on 0.000072 s: pgame.neg._sunfold 0.000209 s: wseq.productive_iff 0.000331 s: has_equiv.no_confusion 0.001491 s: subsemiring.coe_prod 0.001126 s: add_monoid_hom.prod.equations._eqn_1 0.006265 s: finsupp.sum_curry_index 0.008860 s: parser.unfailing.foldr_core_one_of_err_static 0.007146 s: parser.unfailing.foldr_core_one_of_err_static.equations._eqn_1 0.004649 s: category_theory.grothendieck.id_fiber' 0.000670 s: multiset.nodup_add_of_nodup 0.039751 s: bilin_form.to_matrix_comp_right 0.042372 s: is_adjoint_pair_to_bilin 0.000056 s: tactic.decl_reducibility.inhabited 0.000039 s: tactic.decl_reducibility.inhabited.equations._eqn_1 0.006485 s: finset.prod_lt_prod_of_nonempty' 0.000699 s: ordnode.of_asc_list_aux₂._main.equations._eqn_2 0.000377 s: ordnode.of_asc_list_aux₂.equations._eqn_2 0.000097 s: quiver.symmetrify.equations._eqn_1 0.009178 s: category_theory.coyoneda.colimit_cocone.equations._eqn_1 0.001805 s: equiv.summable_iff_of_support 0.000304 s: normed_linear_ordered_field.to_normed_linear_ordered_group.equations._eqn_1 0.000265 s: fin.mod._sunfold 0.001814 s: nsmul_add_sub_nsmul 0.001196 s: real.log_rpow 0.000614 s: real.tendsto_exp_nhds_0_nhds_1 0.000512 s: real.tendsto_log_at_top 0.122205 s: tendsto_rpow_div_mul_add 0.023260 s: tendsto_rpow_neg_div 0.003494 s: is_galois.tower_top_intermediate_field.equations._eqn_1 0.000196 s: language.has_add.equations._eqn_1 0.000375 s: int.borel_space 0.076534 s: module.direct_limit.lift._match_1.equations._eqn_1 0.015188 s: totally_bounded.closure 0.004870 s: category_theory.limits.cokernel.of_iso_comp.equations._eqn_1 0.000880 s: category_theory.triangulated.triangle_category_to_category_struct_id 0.000121 s: with_zero.semiring._proof_1 0.000254 s: with_zero.semiring._proof_3 0.001330 s: with_zero.semiring._proof_4 0.000191 s: with_zero.semiring._proof_7 0.000476 s: with_zero.semiring._proof_11 0.005385 s: with_zero.semiring._proof_14 0.003087 s: with_zero.semiring 0.030851 s: category_theory.equivalence.op.equations._eqn_1 0.000110 s: cast_proof_irrel 0.004726 s: algebraic_geometry.PresheafedSpace.restrict_top_iso_hom 0.002307 s: vector.remove_nth._main 0.002583 s: vector.remove_nth._main._proof_1 0.000853 s: vector.remove_nth._main.equations._eqn_1 0.000576 s: nat.coprime_mul_iff_left 0.000783 s: locally_constant.map_apply 0.000191 s: ordnode.has_singleton.equations._eqn_1 0.000541 s: category_theory.sigma.sigma_hom.mk.inj_arrow 0.000908 s: category_theory.zero_mul_inv 0.070551 s: is_R_or_C.of_real_lm.equations._eqn_1 0.002515 s: category_theory.Groupoid.forget_to_Cat_full.equations._eqn_1 0.010533 s: finprod_mem_one 0.002430 s: finprod_mem_congr 0.002689 s: finprod_mem_of_eq_on_one 0.006117 s: exists_ne_one_of_finprod_mem_ne_one 0.001020 s: list.insert_nil 0.001964 s: submonoid.nontrivial_iff_exists_ne_one 0.000642 s: 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s: additive.linear_ordered_add_comm_group._proof_14 0.010847 s: additive.linear_ordered_add_comm_group 0.000539 s: filter.tendsto_Ioc_Ioi_Ioi.equations._eqn_1 0.000079 s: subrelation.equations._eqn_1 0.003206 s: ennreal.ne_top_of_mul_ne_top_right 0.003501 s: additive.add_left_cancel_semigroup.equations._eqn_1 0.004135 s: category_theory.limits.has_zero_object.zero_morphisms_of_zero_object._proof_2 0.001085 s: category_theory.limits.has_zero_object.zero_morphisms_of_zero_object 0.001249 s: list.exists_of_length_succ 0.009759 s: nonneg_add_comm_group.rec_on 0.000485 s: setoid.map_of_surjective_eq_map 0.000131 s: functor.map_const_rev.equations._eqn_1 0.028191 s: subgroup.prod_equiv.equations._eqn_1 0.005279 s: subsemiring.srange_subtype 0.003928 s: Set.powerset._match_7.equations._eqn_1 0.000104 s: quiver.arborescence.has_sizeof_inst 0.000286 s: zmod.subsingleton_ring_hom.equations._eqn_1 0.000410 s: lie_hom.has_coe_to_fun.equations._eqn_1 0.000424 s: rat.repr._main.equations._eqn_1 0.008440 s: ring_equiv.map_eq_zero_iff 0.030699 s: linear_map.range_dual_map_le_dual_annihilator_ker 0.040327 s: category_theory.limits.coprod.functor.equations._eqn_1 0.000338 s: dense_embedding.drec 0.000164 s: ordnode.mem._sunfold 0.032964 s: direct_sum.gmonoid.of_submodules_to_ghas_mul 0.000546 s: vector.update_nth.equations._eqn_1 0.003136 s: list.nth_le_update_nth_of_ne 0.005295 s: vector.nth_update_nth_of_ne 0.002683 s: polynomial.coeff_to_subring 0.000198 s: filter.nat.inhabited_countable_filter_basis._proof_2 0.000401 s: filter.nat.inhabited_countable_filter_basis 0.000181 s: filter.nat.inhabited_countable_filter_basis.equations._eqn_1 0.000183 s: joined.some_path.equations._eqn_1 0.000865 s: ctop.realizer.id._match_1.equations._eqn_1 0.000926 s: rbnode.binduction_on 0.011642 s: ring_hom.to_opposite.equations._eqn_1 0.000598 s: add_localization.equations._eqn_1 0.000881 s: preorder.sizeof 0.000062 s: preorder.has_sizeof_inst 0.000156 s: directed_order.sizeof 0.000260 s: category_theory.limits.has_finite_wide_pullbacks.drec_on 0.000445 s: monoid_with_zero_hom.has_coe_to_zero_hom.equations._eqn_1 0.000089 s: pnat.add_right_cancel_semigroup._proof_1 0.003210 s: pnat.add_right_cancel_semigroup 0.001184 s: pgame.inv_val._main.equations._eqn_1 0.000185 s: pgame.inv_val.equations._eqn_1 0.000360 s: seq.bisim_o._main.equations._eqn_3 0.000241 s: set.sInter_subset_sInter 0.000793 s: set.countable_iff_exists_injective 0.005435 s: set.countable_iff_exists_inj_on 0.000892 s: set.countable_of_injective_of_countable_image 0.045215 s: emetric.nonempty_compacts.second_countable_topology 0.000549 s: real.neg_pi_div_two_lt_arctan 0.000191 s: fp.rmode.no_confusion 0.000119 s: bounded_distrib_lattice.lt._default.equations._eqn_1 0.010847 s: bundle_trivialization.cases_on 0.001401 s: bundle_trivialization.no_confusion_type 0.000423 s: category_theory.abelian.has_pullbacks.equations._eqn_1 0.006881 s: list.chain'.append 0.002889 s: quaternion.coe_sub 0.000182 s: 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0.005873 s: basic_smooth_bundle_core.no_confusion_type 0.002102 s: int.add_neg_cancel_left 0.000256 s: int.add_le_of_le_neg_add 0.036300 s: times_cont_diff_on.ccosh 0.002097 s: isometric.to_homeomorph.equations._eqn_1 0.000474 s: category_theory.End.one_def 0.013788 s: lipschitz_with.list_prod 0.005626 s: category_theory.core.functor_to_core.equations._eqn_1 0.001043 s: category_theory.creates_colimits_of_shape.mk.inj_arrow 0.000068 s: string.str.equations._eqn_1 0.000325 s: power_series.mk.equations._eqn_1 0.001031 s: set.preimage_eq_core 0.000956 s: category_theory.limits.punit_cocone_is_colimit 0.000082 s: omega.update_zero.equations._eqn_2 0.003632 s: lie_hom.range_subset_ideal_range 0.000185 s: presented_group.of.equations._eqn_1 0.000498 s: ordnode.find._main.equations._eqn_1 0.000106 s: ordnode.find.equations._eqn_1 0.000198 s: function.injective.comp_inj_on 0.002164 s: AddCommGroup.image.lift._proof_1 0.007724 s: AddCommGroup.image.lift._proof_2 0.003152 s: AddCommGroup.image.lift 0.002724 s: AddCommGroup.image.lift.equations._eqn_1 0.002505 s: isometric.trans.equations._eqn_1 0.046433 s: prime_spectrum.vanishing_ideal_Union 0.000285 s: filter.germ.has_one.equations._eqn_1 0.000329 s: int.le_add_of_sub_left_le 0.000293 s: int.le_add_of_neg_add_le_left 0.027581 s: ring.fractional_ideal.coe_to_fractional_ideal.equations._eqn_1 0.000082 s: is_distinct.distinct 0.007073 s: lie_module.cases_on 0.000829 s: dlex_preorder._match_1.equations._eqn_1 0.004557 s: category_theory.center.left_unitor_hom_f 0.001221 s: filter.comap_eq_of_inverse 0.000443 s: equiv.preimage_image 0.000764 s: homeomorph.preimage_image 0.415845 s: integral_pow 0.211628 s: integral_id 0.025714 s: linear_order.no_confusion_type 0.003868 s: linear_order.no_confusion 0.044879 s: matrix.to_bilin.equations._eqn_1 0.009074 s: is_lawful_monad.seq_pure._default 0.037819 s: linear_map.to_matrix_alg_equiv'_symm 0.001014 s: semiquot.mem_univ 0.025014 s: Compactum_to_CompHaus.iso_of_topological_space._proof_3 0.000060 s: psigma.fintype_prop_left._proof_3 0.001705 s: psigma.fintype_prop_left 0.000234 s: con.quotient.has_coe_t.equations._eqn_1 0.077606 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj_2 0.001099 s: measurable_equiv.prod_comm.equations._eqn_1 0.001352 s: distrib.mk.sizeof_spec 0.000779 s: category_theory.with_initial.comp._main.equations._eqn_7 0.000319 s: category_theory.with_initial.comp.equations._eqn_7 0.000117 s: rack.pre_envel_group.incl.inj_eq 0.000027 s: num.zero.inj_arrow 0.024482 s: parser.many1_eq_fail 0.065729 s: real.strict_mono_decr_on_log 0.000291 s: measure_theory.is_mul_right_invariant.equations._eqn_1 0.012951 s: simplex_category.δ.equations._eqn_1 0.006781 s: Mon_.mul_one_assoc 0.001669 s: nonempty_compacts.Kuratowski_embedding.equations._eqn_1 0.010035 s: semimodule.add_comm_monoid_to_add_comm_group.equations._eqn_1 0.002223 s: ring_equiv.symm_symm 0.000760 s: nat.sub_cancel 0.000324 s: computation.exists_of_lift_rel_right 0.000483 s: opposite.comm_group._proof_4 0.002235 s: group.normal_closure.is_normal 0.000165 s: group.normal_closure_mono 0.000164 s: topological_space.compacts.equations._eqn_1 0.000451 s: matrix.block_triangular_matrix'.equations._eqn_1 0.003399 s: sub_mul_action.is_scalar_tower.equations._eqn_1 0.000154 s: equiv.empty_sum.equations._eqn_1 0.005033 s: mv_polynomial.bind₂_map 0.000249 s: omega.ee_state.sizeof 0.000968 s: multiset.decidable_eq_pi_multiset.equations._eqn_1 0.001833 s: subring.prod_equiv._proof_1 0.006588 s: subring.prod_equiv._proof_3 0.051562 s: subring.prod_equiv 0.078988 s: add_submonoid.mem_Sup_of_mem 0.001330 s: set.Ioc.semilattice_sup_top._proof_6 0.044756 s: complex.tan_mul_cos 0.018867 s: complex.tan_sq_div_one_add_tan_sq 0.015358 s: associates.prime.le_or_le 0.011442 s: associates.exists_mem_multiset_le_of_prime 0.000639 s: free_magma.repr._main.equations._eqn_1 0.000124 s: free_magma.repr.equations._eqn_1 0.001079 s: ordinal.enum._match_1.equations._eqn_1 0.006909 s: pilex.partial_order._match_4.equations._eqn_1 0.010158 s: division_ring_of_is_unit_or_eq_zero._proof_9 0.000248 s: typevec.arrow.equations._eqn_1 0.002124 s: add_subgroup.eq_bot_of_subsingleton 0.008663 s: ordered_cancel_comm_monoid.mk.sizeof_spec 0.000345 s: order_topology.rec_on 0.005360 s: canonically_ordered_semiring.pow_le_one 0.000238 s: option.rel.rec_on 0.000066 s: surreal.has_neg.equations._eqn_1 0.000219 s: powers.self_mem 0.000267 s: pgame.move_right._main.equations._eqn_1 0.000163 s: pgame.move_right.equations._eqn_1 0.020636 s: category_theory.limits.equalizer_subobject_arrow' 0.003760 s: set.piecewise_insert_self 0.000158 s: num.mul._main.equations._eqn_2 0.000035 s: num.mul.equations._eqn_2 0.001308 s: multiset.prod_map_one 0.006525 s: category_theory.grothendieck_topology.mk.inj_eq 0.000748 s: edist_lt_coe 0.001937 s: sub_neg_monoid.rec_on 0.002846 s: parser.unfailing.orelse.equations._eqn_1 0.008635 s: AddCommGroup.image.lift_fac 0.006319 s: category_theory.monad.free_coequalizer.bottom_map_f 0.000458 s: turing.TM2to1.st_act.peek.inj 0.003182 s: category_theory.mono_over.mk'_arrow_iso.equations._eqn_1 0.036355 s: nat.digits_add 0.000410 s: pmf.of_fintype.equations._eqn_1 0.007930 s: mul_semiring_action_hom.no_confusion_type 0.002760 s: mul_semiring_action_hom.no_confusion 0.003610 s: mul_semiring_action_hom.mk.inj 0.003176 s: mul_semiring_action_hom.mk.inj_arrow 0.000727 s: omega.nat.neg_elim_core._main.equations._eqn_9 0.000064 s: omega.nat.neg_elim_core.equations._eqn_9 0.027425 s: mul_le_of_le_inv_mul 0.011785 s: lebesgue_number_lemma_sUnion 0.000451 s: int.neg_mul_comm 0.000376 s: turing.TM0.stmt.map._sunfold 0.002339 s: typevec.prod.diag.equations._eqn_2 0.065198 s: enorm.finite_subspace.normed_group.equations._eqn_1 0.000510 s: tactic.interactive.apply_rel.equations._eqn_1 0.000958 s: category_theory.limits.cones.forget_obj 0.000269 s: 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prod.ring.equations._eqn_1 0.000349 s: list.bidirectional_rec._main._pack._proof_1 0.019621 s: list.bidirectional_rec._main._pack.equations._eqn_3 0.000374 s: nat.lt.is_well_order.equations._eqn_1 0.000137 s: nonote.below.equations._eqn_1 0.330609 s: smul_le_smul_iff_of_neg 0.000235 s: pSet.mem._main.equations._eqn_1 0.000043 s: semiquot.has_sizeof_inst 0.000199 s: category_theory.limits.has_limits_of_shape_discrete.equations._eqn_1 0.000202 s: omega.nat.is_nnf._main.equations._eqn_2 0.000035 s: omega.nat.is_nnf.equations._eqn_2 0.090645 s: measure_theory.snorm'_measure_zero_of_exponent_zero 0.006226 s: category_theory.subobject.of_le_arrow_assoc 0.000438 s: denumerable.plift.equations._eqn_1 0.006948 s: category_theory.functor.sum_map_inr 0.004126 s: local_homeomorph.piecewise.equations._eqn_1 0.000150 s: fin_enum.rec_on 0.000156 s: category_theory.essentially_small.rec_on 0.000467 s: Class.mem_univ 0.000132 s: filter.liminf.equations._eqn_1 0.002068 s: category_theory.faithful.of_iso 0.000798 s: category_theory.faithful.of_comp_iso 0.000496 s: continuous_map.mk.inj 0.000376 s: continuous_map.mk.inj_arrow 0.008359 s: Compactum_to_CompHaus.faithful 0.001175 s: max_idem.equations._eqn_1 0.001867 s: set.preimage_bInter 0.002516 s: separation_rel_comap 0.002539 s: is_separated_def' 0.008596 s: is_separated_iff_induced 0.002539 s: is_compact.uniform_continuous_on_of_continuous' 0.000993 s: prod.rprod.dcases_on 0.011653 s: cardinal.add_eq_max 0.000586 s: cardinal.add_eq_left 0.001528 s: cardinal.add_eq_right 0.000377 s: algebra.subalgebra.inhabited.equations._eqn_1 0.000693 s: finset.card_erase_le 0.000468 s: has_append.no_confusion 0.000176 s: has_append.mk.inj 0.000103 s: has_append.mk.inj_arrow 0.001043 s: relation.eq_comp 0.000474 s: relation.iff_comp 0.000907 s: structure_groupoid.local_invariant_prop.lift_prop_within_at_congr_iff_of_eventually_eq 0.001118 s: galois_insertion.mk.inj_arrow 0.002505 s: category_theory.limits.biproduct.map_iso_inv 0.000056 s: rat.has_zero.equations._eqn_1 0.000505 s: ordinal.enum_lt 0.000780 s: ordinal.has_succ_of_is_limit 0.000129 s: znum.bit0._main.equations._eqn_1 0.000024 s: znum.bit0.equations._eqn_1 0.000219 s: tactic.interactive.rep_arity.no_confusion 0.000215 s: set.ord_connected.cases_on 0.000699 s: mvfunctor.of_mem_supp 0.000048 s: omega.nat.preterm.inhabited 0.000019 s: omega.nat.preform.inhabited 0.001567 s: lucas_lehmer.X.coe_nat 0.000254 s: ideal.is_local.dcases_on 0.002392 s: prod.distrib_mul_action.equations._eqn_1 0.000281 s: ordnode.find_lt._sunfold 0.000170 s: free_add_magma.add_eq 0.001189 s: smooth_manifold_with_corners.rec_on 0.000744 s: _private.2020719713.align._main.equations._eqn_2 0.024478 s: ring.fractional_ideal.partial_order.equations._eqn_1 0.130446 s: perfect_closure.field._proof_1 0.146925 s: perfect_closure.field._proof_2 0.168753 s: perfect_closure.field._proof_3 0.146751 s: perfect_closure.field._proof_4 0.162101 s: perfect_closure.field._proof_5 0.185178 s: perfect_closure.field._proof_6 0.179763 s: perfect_closure.field._proof_7 0.146552 s: perfect_closure.field._proof_9 0.139093 s: perfect_closure.field._proof_10 0.172893 s: perfect_closure.field._proof_11 0.158169 s: perfect_closure.field._proof_12 0.142053 s: perfect_closure.field._proof_17 0.152447 s: perfect_closure.field._proof_18 0.162125 s: perfect_closure.field._proof_19 0.132355 s: perfect_closure.field._proof_21 0.129281 s: perfect_closure.field._proof_22 0.150786 s: perfect_closure.field._proof_24 0.198358 s: perfect_closure.field._proof_25 0.154072 s: perfect_closure.field 0.252866 s: perfect_closure.lift._proof_5 0.000477 s: CommMon_.forget₂_Mon_.equations._eqn_1 0.000021 s: tactic.simp_config.contextual._default 0.000024 s: tactic.simp_config.contextual._default.equations._eqn_1 0.000661 s: option.choice_is_some_iff_nonempty 0.000787 s: topological_space.opens.comap_id 0.000086 s: linear_ordered_add_comm_monoid.lt._default 0.000085 s: linear_ordered_add_comm_monoid.lt._default.equations._eqn_1 0.112483 s: category_theory.comma.map_right_comp.equations._eqn_1 0.012179 s: ennreal.rpow._sunfold 0.001955 s: tactic_doc._3066729030 0.000107 s: _private.3864469991.repr 0.004052 s: mvpfunctor.M.path.root.sizeof_spec 0.002605 s: category_theory.over.post_obj 0.003388 s: set.image3_congr 0.000280 s: set.image3_congr' 0.000376 s: buffer.append._main.equations._eqn_1 0.000397 s: totally_bounded.equations._eqn_1 0.000207 s: pgame.right_wins_of_equiv 0.000090 s: pgame.right_wins_of_equiv_iff 0.002545 s: CommMon_.mul_comm_assoc 0.000501 s: functor.comp.functor.equations._eqn_1 0.000306 s: urysohns.CU.rec_on 0.000447 s: rbmap.fold 0.000389 s: rbmap.fold.equations._eqn_1 0.002129 s: list.lex.imp 0.001111 s: option_t.is_lawful_monad_cont._proof_4 0.000733 s: fpow._main.equations._eqn_1 0.000048 s: tactic.transparency.reducible.sizeof_spec 0.000339 s: tactic_doc._3842019403 0.000187 s: state_t.uliftable 0.000172 s: state_t.uliftable.equations._eqn_1 0.000527 s: is_scalar_tower.drec_on 0.000056 s: linear_ordered_comm_group_with_zero.has_sizeof_inst 0.017412 s: ordered_comm_ring.sizeof 0.012505 s: category_theory.limits.pullback_cone.is_limit.mk.equations._eqn_1 0.000524 s: continuous_map.const_apply 0.000108 s: pSet.has_sep 0.001432 s: pi_Lp.metric_space.equations._eqn_1 0.000983 s: set.add_mem_Icc_iff_left 0.000077 s: nat.choose._sunfold 0.000200 s: strict_mono.bot_preimage_bot 0.000203 s: add_submonoid.localization_map.away_map.equations._eqn_1 0.000132 s: power_series.comm_semiring.equations._eqn_1 0.000388 s: category_theory.limits.image_factorisation.sizeof 0.001584 s: category_theory.limits.is_colimit_of_preserves.equations._eqn_1 0.003789 s: mul_equiv.to_CommGroup_iso_inv 0.004551 s: Module.Mon_Module_equivalence_Algebra._proof_14 0.000151 s: order.pfilter.rec_on 0.002189 s: list.tail_sum 0.000136 s: znum.decidable_lt.equations._eqn_1 0.001090 s: uniform_space_of_compact_t2._proof_2 0.007199 s: uniform_space_of_compact_t2 0.005104 s: uniform_space_of_compact_t2.equations._eqn_1 0.000277 s: list.mmap_with_index'_aux._sunfold 0.000252 s: measurable.csinh 0.001861 s: mul_bit0 0.000676 s: measure_theory.exists_measurable_superset_iff_measure_eq_zero 0.156997 s: pre_tilt.integral_domain._proof_10 0.023040 s: circle_deg1_lift.coe_to_order_iso_symm 0.000153 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_3 0.000022 s: tactic.interactive.case_tag.match_result.combine.equations._eqn_3 0.004883 s: additive.add_zero_class.equations._eqn_1 0.008270 s: _private.1748511589.rand_nat_aux._main._pack.equations._eqn_1 0.001313 s: Group.one.unique._proof_1 0.000153 s: Group.one.unique 0.000108 s: Group.one.unique.equations._eqn_1 0.012907 s: matrix.unitary_group.embedding_GL._proof_1 0.024210 s: matrix.unitary_group.to_GL_mul 0.019357 s: matrix.unitary_group.embedding_GL._proof_2 0.017838 s: matrix.unitary_group.embedding_GL 0.002354 s: add_subgroup.closure_neg 0.000833 s: category_theory.is_coreflexive_pair.dcases_on 0.000384 s: Profinite.to_CompHaus.reflective.equations._eqn_1 0.000207 s: multiset.has_insert.equations._eqn_1 0.003122 s: category_theory.limits.types.binary_coproduct_colimit_desc 0.000140 s: expr.coord.code._main.equations._eqn_2 0.000035 s: expr.coord.code.equations._eqn_2 0.069206 s: continuous_map.to_Lp_comp_forget_boundedness 0.010847 s: zmod.units_equiv_coprime.equations._eqn_1 0.007477 s: is_order_right_adjoint_Sup 0.000825 s: refl_bilin_form.eq_zero 0.000554 s: refl_bilin_form.ortho_sym 0.001083 s: sym_bilin_form.is_refl 0.000399 s: sym_bilin_form.ortho_sym 0.000099 s: int.snum_coe.equations._eqn_1 0.001156 s: list.filter_map_map 0.066508 s: pgame.nim.nim_impartial._main._pack.equations._eqn_1 0.047817 s: pgame.nim.nim_impartial._main.equations._eqn_1 0.000226 s: smt_config.mk.sizeof_spec 0.007384 s: measure_theory.outer_measure.trim_trim 0.303082 s: unique_diff_on_Icc 0.000120 s: nat.digits_inj_iff 0.000053 s: ordinal.equations._eqn_1 0.062076 s: comm_group.is_solvable.equations._eqn_1 0.045346 s: bounded_continuous_function.complete_space.equations._eqn_1 0.135365 s: euclidean_geometry.orthogonal_projection_vsub_mem_direction 0.133104 s: continuous_multilinear_map.mk_pi_algebra.equations._eqn_1 0.000438 s: option.get_or_else_of_ne_none 0.018244 s: polynomial.nat_degree_derivative_lt 0.264548 s: polynomial.separable_iff_derivative_ne_zero 0.146087 s: polynomial.expand_contract 0.242855 s: polynomial.separable_or 0.070508 s: polynomial.separable_C 0.116960 s: polynomial.exists_separable_of_irreducible 0.000119 s: has_union.cases_on 0.000074 s: has_union.no_confusion_type 0.000235 s: has_union.no_confusion 0.000110 s: has_union.mk.inj 0.000080 s: has_union.mk.inj_arrow 0.000185 s: lists.has_mem.equations._eqn_1 0.149060 s: clifford_algebra.reverse_prod_map_ι 0.067821 s: affine_map.homothety_affine.equations._eqn_1 0.000576 s: fp.float.sign'._main.equations._eqn_3 0.000314 s: CompHaus.inhabited._proof_1 0.000116 s: CompHaus.inhabited 0.000065 s: CompHaus.inhabited.equations._eqn_1 0.514025 s: real.exp_one_lt_d9 0.002830 s: category_theory.preserves_fin_of_preserves_binary_and_terminal._main._proof_9 0.020855 s: mv_polynomial.counit_nat_surjective 0.005812 s: finset.subset_mul 0.006291 s: submodule.mem_span_mul_finite_of_mem_span_mul 0.000962 s: free_add_semigroup.rec_on'.equations._eqn_1 0.045939 s: filter.tendsto.at_top_mul_at_bot 0.006564 s: norm_num.zero_adc 0.002711 s: smt_config.inhabited 0.000479 s: nhds_within_Ioi_is_measurably_generated.equations._eqn_1 0.035450 s: has_ftaylor_series_up_to_on.drec_on 0.013184 s: alternating_map.map_neg 0.000618 s: category_theory.pairwise.id._main.equations._eqn_1 0.000110 s: category_theory.pairwise.id.equations._eqn_1 0.000370 s: metric.bounded.equations._eqn_1 0.000096 s: category_theory.bundled_hom.parent_projection.no_confusion_type 0.000305 s: category_theory.bundled_hom.parent_projection.no_confusion 0.001670 s: set.inv_mem_Ioc_iff 0.003428 s: multiset.to_finsupp.equations._eqn_1 0.001250 s: Algebra.free_obj_is_ring 0.000570 s: category_theory.limits.is_iso_zero_self_equiv 0.000650 s: category_theory.limits.is_iso_zero_self_equiv.equations._eqn_1 0.074653 s: fderiv_within_smul 0.000095 s: int.lnot.equations._eqn_2 0.016759 s: int.test_bit_lnot 0.001072 s: quiver.path.comp_nil 0.000334 s: power_series.inv_of_unit.equations._eqn_1 0.001224 s: measure_theory.ae_eq_fun.zero_def 0.006550 s: measure_theory.ae_eq_fun.edist_zero_eq_coe 0.002786 s: rack.to_envel_group.equations._eqn_1 0.000273 s: turing.tape.nth._sunfold 0.002888 s: multiset.measurable_sum 0.005380 s: Group.adj._proof_2 0.001952 s: filter.rcomap._match_3.equations._eqn_1 0.006899 s: linear_map.fun_left.equations._eqn_1 0.007108 s: add_units.vadd_perm_hom._proof_2 0.003523 s: lists.equiv._mut_.rec_on 0.002964 s: category_theory.adjoint_square_lift 0.002711 s: category_theory.adjoint_square_lift.equations._eqn_1 0.005884 s: Mon.limit_monoid.equations._eqn_1 0.000173 s: fp.float.is_zero._main.equations._eqn_2 0.001707 s: category_theory.limits.pullback_cone.mk_X 0.000388 s: matrix.empty_mul 0.118996 s: smooth_bump_covering.no_confusion_type 0.125835 s: smooth_bump_covering.no_confusion 0.131104 s: smooth_bump_covering.mk.inj 0.144361 s: smooth_bump_covering.mk.inj_arrow 0.016674 s: real.sinh_zero 0.000078 s: monad.foldl 0.000127 s: monad.foldl.equations._eqn_1 0.005883 s: opposite.add_group.equations._eqn_1 0.000077 s: fp.float.is_finite.equations._eqn_2 0.008168 s: real.angle.coe_sub 0.019702 s: module.End.maximal_generalized_eigenspace_eq 0.000114 s: linarith.comp_source.ibelow 0.000792 s: linarith.comp_source.binduction_on 0.000463 s: traversable.length.equations._eqn_1 0.005451 s: traversable.length_to_list 0.019472 s: slim_check.int_le.sampleable._proof_2 0.003185 s: ring_equiv.mk_coe 0.000575 s: tactic.itauto.proof.rec_on 0.013959 s: one_div_lt 0.000436 s: add_submonoid.sizeof 0.005019 s: topological_vector_bundle.drec_on 0.005954 s: derivation.rec_on 0.000179 s: ordered_add_comm_monoid.lt._default.equations._eqn_1 0.000175 s: multiset.not_mem_of_nodup_cons 0.001401 s: wseq.drop.aux._main.equations._eqn_2 0.020083 s: CommMon_.equiv_lax_braided_functor_punit.unit_iso_inv_app_to_nat_trans_app 0.009261 s: omega.nat.is_nnf_push_neg 0.002443 s: omega.nat.is_nnf_nnf 0.000171 s: add_semigroup.cases_on 0.000678 s: computability.fin_encoding.mk.inj_eq 0.003132 s: bounded_continuous_function.coe_fn_add_hom.equations._eqn_1 0.000189 s: zsqrtd.conj_hom.equations._eqn_1 0.000560 s: algebraic_geometry.structure_sheaf.localizations.equations._eqn_1 0.001538 s: hash_map.mk.inj 0.007577 s: hash_map.mk.inj_eq 0.000239 s: dense_embedding.rec_on 0.000250 s: relator.left_unique.drec 0.001463 s: is_R_or_C.nat_cast_im 0.000240 s: add_monoid_hom.congr_arg 0.009344 s: local_homeomorph.prod_symm_apply 0.004908 s: pilex.partial_order._match_2.equations._eqn_1 0.000160 s: turing.TM0.machine.equations._eqn_1 0.008515 s: ideal.quotient_map_mkₐ 0.005984 s: ideal.quotient_map_comp_mkₐ 0.011505 s: lucas_lehmer.s_zmod_eq_s 0.000484 s: add_equiv.coe_refl 0.001236 s: vector.traverse._main.equations._eqn_1 0.193132 s: algebraic_geometry.const_zero 0.048763 s: category_theory.limits.colim_coyoneda._proof_2 0.018723 s: category_theory.limits.colim_coyoneda 0.000152 s: pSet.powerset._sunfold 0.241035 s: continuous_multilinear_map.curry_sum_equiv.equations._eqn_1 0.000877 s: locally_constant.map.equations._eqn_1 0.015742 s: order_bot.mk.sizeof_spec 0.000144 s: smt_config.em_cfg._default.equations._eqn_1 0.015772 s: lie_submodule.eq_bot_iff 0.000455 s: filter.germ.semilattice_inf_bot._proof_4 0.000130 s: int.le_add_of_neg_le_sub_left 0.001783 s: int.neg_succ_of_nat_div 0.312731 s: differentiable_at.cosh 0.139904 s: differentiable.cosh 0.016675 s: turing.TM2to1.tr_normal._main.equations._eqn_2 0.000851 s: turing.TM2to1.tr_normal.equations._eqn_2 0.000324 s: turing.TM0to1.tr._match_1.equations._eqn_1 0.000045 s: tactic.suggest.head_symbol_match.both.inj_eq 0.001797 s: parser.mono.remaining.equations._eqn_1 0.000255 s: computation.run_for 0.000418 s: computation.run_for.equations._eqn_1 0.000379 s: list.kunion._sunfold 0.013359 s: add_comm_group.direct_limit.directed_system 0.110949 s: mfderiv_within_zero_of_not_mdifferentiable_within_at 0.022311 s: mul_equiv.prod_units._proof_1 0.007778 s: mul_equiv.prod_units._proof_2 0.014732 s: mul_equiv.prod_units._proof_3 0.006824 s: mul_equiv.prod_units 0.007268 s: mul_equiv.prod_units.equations._eqn_1 0.000399 s: rbnode.ins.equations._eqn_3 0.002371 s: add_monoid_hom.of_map_midpoint.equations._eqn_1 0.000105 s: omega.ee.reduce.inj_eq 0.000668 s: nndist_self 0.001335 s: Mon.colimits.cocone_morphism._proof_1 0.003054 s: setoid.quotient_ker_equiv_range._match_1.equations._eqn_1 0.000663 s: equiv.comm_semiring._proof_1 0.000219 s: equiv.comm_semiring._proof_2 0.000341 s: equiv.comm_semiring._proof_4 0.001994 s: equiv.comm_semiring 0.000135 s: Set.empty.equations._eqn_1 0.000987 s: is_galois.to_is_separable.equations._eqn_1 0.001597 s: mvqpf.fix_to_W.equations._eqn_1 0.006232 s: cardinal.eq_one_iff_subsingleton_and_nonempty 0.001141 s: hahn_series.summable_family.has_zero.equations._eqn_1 0.001202 s: simplex_category.small_category_to_category_struct_comp 0.000051 s: slim_check.no_shrink.inhabited 0.000194 s: category_theory.limits.sigma.map_iso._proof_1 0.001119 s: set.Ici.semilattice_inf.equations._eqn_1 0.000718 s: turing.partrec_to_TM2.Λ'.clear.sizeof_spec 0.000714 s: ordnode.diff._match_1.equations._eqn_1 0.088474 s: finite_dimensional.linear_equiv.quot_equiv_of_quot_equiv.equations._eqn_1 0.017050 s: mem_own_left_coset 0.003362 s: mem_left_coset_left_coset 0.002885 s: category_theory.is_right_adjoint.mk.inj 0.217160 s: slim_check.nat_gt.sampleable._match_1 0.211196 s: slim_check.nat_gt.sampleable._match_1._proof_1 0.001359 s: slim_check.nat_gt.sampleable._match_1.equations._eqn_1 0.001952 s: power_series.coeff_C_mul 0.000156 s: list.mfoldl._sunfold 0.032393 s: mul_equiv_iso_CommGroup_iso._proof_1 0.001110 s: mul_equiv_iso_CommGroup_iso 0.019884 s: pmf.pure_bind_on_support 0.005875 s: affine_map.mk.inj_arrow 0.000589 s: category_theory.triangulated.triangle_category_to_category_struct_to_quiver_hom 0.001140 s: category_theory.under.forget_obj 0.000732 s: category_theory.pairwise.cocone_X 0.038330 s: mv_polynomial.is_symmetric.sub 0.010816 s: category_theory.full.comp.equations._eqn_1 0.001943 s: inf_right_comm 0.000220 s: category_theory.subobject.iso_of_eq._proof_2 0.000106 s: multiset.has_add.equations._eqn_1 0.005769 s: witt_vector.hom_ext 0.057824 s: witt_vector.from_padic_int_comp_to_padic_int 0.010691 s: witt_vector.from_padic_int_comp_to_padic_int_ext 0.000515 s: witt_vector.equiv._proof_1 0.005023 s: witt_vector.equiv 0.007564 s: witt_vector.equiv.equations._eqn_1 0.005020 s: Pi.separated 0.002977 s: Pi.separated.equations._eqn_1 0.109727 s: polynomial.eisenstein_criterion_aux.map_eq_C_mul_X_pow_of_forall_coeff_mem 0.286518 s: polynomial.div_tendsto_at_bot_of_degree_gt' 0.119639 s: polynomial.div_tendsto_at_bot_of_degree_gt 0.002881 s: rbnode.mem_exact._main.equations._eqn_3 0.059581 s: category_theory.limits.has_kernel_iso_comp.equations._eqn_1 0.016134 s: category_theory.category_of_elements.map_π 0.052381 s: continuous_linear_map.flip_apply 0.001036 s: mul_equiv.ext_iff 0.012670 s: category_theory.limits.limit.iso_limit_cone_hom_π_assoc 0.000101 s: has_pow.rec_on 0.000284 s: set.one_le_mul_indicator 0.000607 s: lie_equiv.has_coe_to_lie_hom.equations._eqn_1 0.015143 s: filter.tendsto_at_bot_add_nonpos_right 0.001412 s: normal_space.drec 0.123430 s: has_strict_fderiv_at.csinh 0.000201 s: fp.float.sign._main.equations._eqn_1 0.000710 s: ordnode.is_subset_aux._match_1.equations._eqn_1 0.001351 s: rbnode.fold._main.equations._eqn_2 0.000263 s: rbnode.fold.equations._eqn_2 0.019356 s: parallelogram_law_with_norm_real 0.006837 s: slim_check.sampleable_ext.mk.sizeof_spec 0.005304 s: subring.complete_lattice._match_1.equations._eqn_1 0.000251 s: string.append._main.equations._eqn_1 0.000664 s: is_subfield.dcases_on 0.000074 s: nat.one_succ_zero 0.000192 s: zmod.inv._main.equations._eqn_1 0.000064 s: zmod.inv.equations._eqn_1 0.000186 s: buffer.push_back._sunfold 0.000246 s: monad_state_adapter.no_confusion_type 0.000671 s: monad_state_adapter.no_confusion 0.000439 s: monad_state_adapter.mk.inj 0.000246 s: monad_state_adapter.mk.inj_arrow 0.000127 s: znum.div.equations._eqn_9 0.083248 s: is_bounded_bilinear_map.has_fderiv_within_at 0.007721 s: simple_graph.mk.sizeof_spec 0.002273 s: add_con.coe_zero 0.016066 s: triv_sq_zero_ext.inl_mul_inr 0.000624 s: category_theory.action_category.π 0.000529 s: category_theory.action_category.π.equations._eqn_1 0.000184 s: Fintype.skeleton.equivalence 0.000093 s: Fintype.skeleton.equivalence.equations._eqn_1 0.006283 s: category_theory.iso.CommMon_iso_to_mul_equiv.equations._eqn_1 0.000037 s: int.fmod 0.000191 s: int.fmod._main.equations._eqn_1 0.000037 s: int.fmod.equations._eqn_1 0.006686 s: times_cont_diff_at.has_strict_deriv_at 0.002277 s: times_cont_diff.has_strict_deriv_at 0.000439 s: filter.tendsto.log 0.000436 s: open_embedding.singleton_charted_space.equations._eqn_1 0.075440 s: localization_map.at_prime.local_ring.equations._eqn_1 0.026222 s: affine_map.vsub_line_map 0.000126 s: relation.refl_trans_gen.rec_on 0.003697 s: category_theory.arrow.subsingleton_lift_struct_of_epi 0.000741 s: finset.inter_union_self 0.001638 s: multiset.self_mem_range_succ 0.002044 s: finset.self_mem_range_succ 0.000674 s: nat.digits._main.equations._eqn_1 0.000136 s: nat.digits.equations._eqn_1 0.002053 s: ordinal.type_mul 0.000465 s: filter.germ.comm_semiring._proof_3 0.000046 s: nat.partrec.code.left.inj_arrow 0.061420 s: ennreal.infi_add_infi 0.051522 s: ennreal.infi_sum 0.000886 s: multiplicative.linear_ordered_comm_monoid._proof_4 0.000163 s: multiplicative.linear_ordered_comm_monoid._proof_6 0.000132 s: multiplicative.linear_ordered_comm_monoid._proof_7 0.000136 s: multiplicative.linear_ordered_comm_monoid._proof_8 0.009933 s: multiplicative.linear_ordered_comm_monoid._proof_10 0.000338 s: multiplicative.linear_ordered_comm_monoid._proof_11 0.002490 s: multiplicative.linear_ordered_comm_monoid._proof_12 0.010651 s: multiplicative.linear_ordered_comm_monoid 0.000085 s: tactic.eliminate.generalization_mode.generalize_only.inj_arrow 0.000121 s: zsqrtd.nonsquare.rec_on 0.000479 s: strict_weak_order.is_equiv.equations._eqn_1 0.000547 s: mem_lower_bounds 0.005740 s: witt_vector.teichmuller_coeff_pos 0.000422 s: locally_constant.to_fun_eq_coe 0.000472 s: primcodable.fin_arrow.equations._eqn_1 0.001705 s: turing.TM2to1.tr_normal._main.equations._eqn_7 0.000503 s: turing.TM2to1.tr_normal.equations._eqn_7 0.002625 s: subgroup.bot_normal.equations._eqn_1 0.001523 s: with_zero.inv_one 0.051417 s: alternating_map.coe_alternatization 0.008935 s: finset.pow_eq_prod_const 0.001198 s: list.fill_nones._main.equations._eqn_4 0.000189 s: list.fill_nones.equations._eqn_4 0.000609 s: equiv.sigma_equiv_prod_of_equiv.equations._eqn_1 0.000249 s: omega.nat.preform.neg_free._main.equations._eqn_1 0.117748 s: has_deriv_at.lhopital_zero_left_on_Ioc 0.122518 s: linear_map.coe_to_continuous_linear_map' 0.018009 s: bundle_trivialization.mk_proj_snd' 0.000454 s: function.support_subset_iff 0.000170 s: category_theory.monoidal.transported.equations._eqn_1 0.000401 s: category_theory.abelian.pseudoelement.hom_to_fun.equations._eqn_1 0.014216 s: gaussian_int.norm_le_norm_mul_left 0.011976 s: fin_equiv_gpowers_apply 0.001306 s: W_type.depth._main.equations._eqn_1 0.000211 s: W_type.depth.equations._eqn_1 0.000190 s: sigma.has_to_string._match_1 0.000743 s: 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affine_map.fst_line_map 0.012091 s: monoid_hom.decidable_mem_range.equations._eqn_1 0.001533 s: add_con.mem_coe 0.007342 s: qpf.has_good_supp_iff 0.002387 s: pfunctor.approx.agree.drec 0.002680 s: category_theory.limits.cocone.whisker.equations._eqn_1 0.001307 s: category_theory.triangulated.inv_rot_comp_rot_hom_2 0.000577 s: filter.germ.semilattice_inf_top._proof_4 0.001756 s: free_magma.map._main.equations._eqn_2 0.000148 s: num.size._main.equations._eqn_1 0.002213 s: _private.1569512379.encodable_succ.equations._eqn_1 0.002839 s: algebra.tensor_product.include_right_apply 0.000200 s: category_theory.limits.has_images.mk.inj 0.004658 s: category_theory.limits.is_colimit.unop._proof_1 0.011946 s: category_theory.limits.is_colimit.unop._proof_2 0.004349 s: category_theory.limits.is_colimit.unop 0.008526 s: category_theory.limits.is_limit_equiv_is_colimit_op._proof_2 0.001795 s: category_theory.limits.is_limit_equiv_is_colimit_op 0.001480 s: category_theory.limits.is_limit_equiv_is_colimit_op.equations._eqn_1 0.000264 s: category_theory.limits.biproduct.matrix_equiv._proof_2 0.000372 s: category_theory.limits.biproduct.matrix_equiv._proof_3 0.002131 s: category_theory.limits.biproduct.matrix_equiv._proof_5 0.003337 s: category_theory.limits.biproduct.matrix_equiv 0.005186 s: category_theory.limits.biproduct.matrix_equiv_apply 0.009323 s: complete_lattice.mk.sizeof_spec 0.000151 s: random_fin_of_pos.equations._eqn_2 0.000073 s: surreal.has_le.equations._eqn_1 0.004012 s: category_theory.strong_epi.dcases_on 0.154986 s: continuous_linear_map.op_norm_lmul_left_right_apply_le 0.233738 s: continuous_linear_map.op_norm_lmul_left_right_le 0.000904 s: category_theory.functor.cocones.equations._eqn_1 0.002987 s: measure_theory.real.measure_space.equations._eqn_1 0.000282 s: free_magma.map.equations._eqn_2 0.031441 s: lt_add_of_neg_add_lt 0.003147 s: lt_add_of_neg_add_lt_right 0.007458 s: category_theory.grothendieck_topology.close_eq_top_iff_mem 0.002296 s: category_theory.topology_of_closure_operator_self 0.000289 s: has_Sup.mk.sizeof_spec 0.001207 s: filter.realizer.bot_F 0.006869 s: lie_module_hom.has_sub.equations._eqn_1 0.000061 s: has_sup.has_sizeof_inst 0.012157 s: multiplicity.multiplicity_self 0.026679 s: nat.prime.multiplicity_self 0.020053 s: category_theory.curry_injective 0.003910 s: int.not_even_one 0.000367 s: int.even_add_one 0.001048 s: closure_operator.closure_union_closure_le 0.113047 s: intermediate_field.val.equations._eqn_1 0.000198 s: topological_vector_bundle.bundle.trivial.add_comm_monoid.equations._eqn_1 0.016200 s: eq_add_cosets_of_normal 0.000366 s: continuous_on.const_smul 0.000081 s: omega.nat.preform.sub_free.equations._eqn_5 0.004300 s: witt_vector.verschiebung_coeff_zero 0.005634 s: category_theory.limits.lim.equations._eqn_1 0.007401 s: alg_equiv.to_linear_equiv_of_linear_equiv 0.003251 s: 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bool.bounded_random 0.003632 s: bool.bounded_random.equations._eqn_1 0.004883 s: set.Ioo_subset_Ioo_iff 0.106560 s: measure_theory.lebesgue_length_Ioo 0.017866 s: category_theory.preadditive.epi_of_cokernel_zero 0.006392 s: measure_theory.conservative.drec 0.000423 s: int.bodd_zero 0.000562 s: measurable_equiv.set.singleton._proof_1 0.002449 s: fin_enum.of_nodup_list.equations._eqn_1 0.020860 s: cardinal.bit1_lt_bit1 0.006052 s: cardinal.one_lt_bit1 0.004721 s: subring.to_subsemiring_strict_mono 0.000153 s: string.has_decidable_eq._match_3.equations._eqn_1 0.000431 s: Fintype.incl.faithful 0.002135 s: is_group_hom.trivial_ker_iff_eq_one 0.000646 s: finset.prod_extend_by_one 0.007199 s: pi.group.equations._eqn_1 0.000105 s: circle_deg1_lift.has_sizeof_inst 0.001822 s: int.fmod._main.equations._eqn_4 0.000111 s: int.fmod.equations._eqn_4 0.000176 s: irreducible.rec_on 0.000268 s: is_max_filter.equations._eqn_1 0.000049 s: real.ordered_semiring.equations._eqn_1 0.004874 s: 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pi.has_zero.equations._eqn_1 0.098480 s: real.volume_interval 0.000689 s: ordinal.partial_order._match_6.equations._eqn_1 0.001102 s: multiset.range_zero 0.000105 s: num.mul._main.equations._eqn_3 0.000089 s: category_theory.Rel.inhabited._proof_1 0.000040 s: category_theory.Rel.inhabited 0.000057 s: category_theory.Rel.inhabited.equations._eqn_1 0.001565 s: category_theory.comonad.id_ε 0.000102 s: truncated_witt_vector.coeff.equations._eqn_1 0.000125 s: when.equations._eqn_1 0.014888 s: cSup_inter_le 0.008662 s: DFA.to_NFA_correct 0.000156 s: is_distinct.rec_on 0.000085 s: list.nil.inj 0.000065 s: list.nil.inj_arrow 0.000731 s: set.infinite.nat_embedding.equations._eqn_1 0.000634 s: prod.is_trans_preimage_fst.equations._eqn_1 0.000150 s: onote.has_pow.equations._eqn_1 0.092964 s: is_Hausdorff.drec_on 0.000530 s: small_prod.equations._eqn_1 0.000488 s: is_max_on.inf 0.117805 s: Module.free.obj.category_theory.lax_monoidal.equations._eqn_1 0.000399 s: list.to_finset_reverse 0.127169 s: convex_cone.comap_comap 0.000698 s: order.sequence_of_cofinals._sunfold 0.018114 s: linear_order.sizeof 0.009579 s: linear_order.mk.sizeof_spec 0.001097 s: pgame.relabel_move_right' 0.000892 s: pgame.relabel_relabelling._proof_2 0.001330 s: pgame.relabel_relabelling 0.000366 s: pgame.short_of_equiv_empty 0.000374 s: finsupp.has_mul.equations._eqn_1 0.002842 s: set.image_add_const_Ico 0.003393 s: category_theory.limits.kernel.lift_mono.equations._eqn_1 0.003439 s: category_theory.limits.types.pullback_cone_iso_pullback.equations._eqn_1 0.003478 s: category_theory.adjunction.to_equivalence_inverse 0.001307 s: category_theory.grothendieck.hom.sizeof 0.000154 s: category_theory.grothendieck.hom.has_sizeof_inst 0.000806 s: list.tprod.pi_equiv_tprod.equations._eqn_1 0.003806 s: category_theory.arrow.lift_mk'_right_assoc 0.000189 s: regular_expression.epsilon.inj_eq 0.002245 s: finset.sum_eq_fold 0.000520 s: arity._main.equations._eqn_1 0.000169 s: arity.equations._eqn_1 0.000340 s: except_t.monad_run 0.000084 s: real.zero_eq_arcsin_iff 0.019706 s: category_theory.functor.map_cocone_whisker_hom_hom 0.041613 s: padic_norm.nonzero 0.009401 s: is_max_filter.sup 0.001096 s: is_local_max_on.sup 0.000210 s: prod.swap_inj 0.000546 s: con.induction_on 0.003211 s: category_theory.adjunction.equiv_homset_left_of_nat_iso_apply 0.000256 s: eckmann_hilton.is_unital.drec 0.000187 s: category_theory.monad.algebra.inhabited 0.000172 s: Compactum.inhabited 0.097438 s: affine.simplex.points_with_circumcenter._sunfold 0.139334 s: pre_tilt.integral_domain._proof_3 0.144306 s: pre_tilt.integral_domain._proof_4 0.144799 s: pre_tilt.integral_domain._proof_6 0.139936 s: pre_tilt.integral_domain._proof_7 0.142655 s: pre_tilt.integral_domain._proof_8 0.136014 s: pre_tilt.integral_domain._proof_12 0.134544 s: pre_tilt.integral_domain._proof_13 0.136966 s: pre_tilt.integral_domain._proof_16 0.033495 s: char_p.pi' 0.151058 s: pre_tilt.integral_domain._proof_17 0.157790 s: pre_tilt.integral_domain 0.000159 s: prime_multiset.coe_multiset_pnat_nat.equations._eqn_1 0.028639 s: subgroup.to_group.equations._eqn_1 0.000097 s: roption.of_option._sunfold 0.000733 s: set.fintype_pure.equations._eqn_1 0.042586 s: filter.tendsto_at_bot_add_const_right 0.060053 s: filter.tendsto.at_bot_mul_at_top 0.975787 s: discrim_le_zero 0.000790 s: quaternion_group.quaternion_group_zero_equiv_dihedral_group_zero._proof_1 0.375718 s: continuous_multilinear_curry_right_equiv_apply' 0.013539 s: with_top.decidable_le.equations._eqn_1 0.009597 s: smooth_map_comm_monoid.equations._eqn_1 0.000115 s: has_inter.mk.inj_arrow 0.002376 s: add_con.lift_coe 0.000558 s: has_star.mk.sizeof_spec 0.000160 s: opposite.has_inv.equations._eqn_1 0.003989 s: galois_coinsertion.mk.inj_eq 0.011208 s: add_submonoid.localization_map.lift_surjective_iff 0.002121 s: con.comap_quotient_equiv.equations._eqn_1 0.003376 s: measure_theory.sigma_finite.of_map 0.016687 s: measure_theory.measure_preserving.skew_product 0.004255 s: measure_theory.measure_preserving.prod 0.000135 s: ordnode.erase_min.equations._eqn_2 0.000211 s: fin_enum.fin 0.000188 s: fin_enum.fin.equations._eqn_1 0.007056 s: category_theory.pi.comap_eval_iso_eval 0.007631 s: category_theory.pi.comap_eval_iso_eval.equations._eqn_1 0.005223 s: ordered_cancel_comm_monoid.mk.inj 0.008600 s: ordered_cancel_comm_monoid.mk.inj_arrow 0.001407 s: is_closed_infi_iff 0.005155 s: category_theory.Mat_.lift_map 0.004698 s: int.even_pow 0.002115 s: lie_module.mem_maximal_trivial_submodule 0.003012 s: lie_module.is_trivial_iff_maximal_trivial_eq_top 0.001071 s: lie_algebra.is_lie_abelian_iff_center_eq_top 0.000868 s: dfinsupp.single.equations._eqn_1 0.001636 s: left_ord_continuous.mono 0.005021 s: algebraic_geometry.PresheafedSpace.comp.equations._eqn_1 0.000121 s: string.append._sunfold 0.000607 s: principal_seg.of_element_top 0.015000 s: measure_theory.outer_measure.trim_mono 0.000321 s: filter.germ.has_lift_t.equations._eqn_1 0.000393 s: CommRing.colimits.colimit.equations._eqn_1 0.000117 s: ordered_comm_monoid.lt._default.equations._eqn_1 0.000134 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_2 0.006742 s: category_theory.limits.is_colimit.mk.sizeof_spec 0.005001 s: subring.eq_top_iff' 0.008078 s: category_theory.extend_fan_π_app 0.014160 s: function.injective.group_with_zero.equations._eqn_1 0.000539 s: set_fintype.equations._eqn_1 0.002976 s: parser.step.pure 0.001517 s: parser.step.guard_true 0.000891 s: measurable.smul 0.000388 s: is_local_max.min 0.000349 s: quiver.weakly_connected_component.mk.equations._eqn_1 0.000080 s: pnat.gcd_w.equations._eqn_1 0.000192 s: list.scanr_aux._sunfold 0.000863 s: category_theory.of_type_monad_coe 0.000083 s: denumerable.has_sizeof_inst 0.000226 s: ulift.has_div.equations._eqn_1 0.001910 s: smooth_monoid_morphism.inhabited 0.001915 s: smooth_monoid_morphism.inhabited.equations._eqn_1 0.026339 s: localization_map.lift_left_inverse 0.010706 s: monoid_algebra.equivariant_of_linear_of_comm.equations._eqn_1 0.000297 s: CpltSepUniformSpace.mk.inj_arrow 0.000752 s: mul_semiring_action_hom.has_coe.equations._eqn_1 0.001879 s: algebra.coe_bot 0.016380 s: linear_nonneg_ring.cases_on 0.012916 s: linear_nonneg_ring.no_confusion_type 0.009950 s: linear_nonneg_ring.no_confusion 0.025671 s: linear_nonneg_ring.mk.inj 0.000506 s: bdd_below_empty 0.001017 s: one_hom.comp_apply 0.000197 s: monad_state.sizeof 0.000071 s: monad_state.has_sizeof_inst 0.000068 s: random_fin_of_pos._main._proof_1 0.000286 s: random_fin_of_pos._main.equations._eqn_1 0.000039 s: random_fin_of_pos.equations._eqn_1 0.043841 s: continuous_linear_map.restrict_scalarsL 0.024668 s: continuous_linear_map.coe_restrict_scalarsL 0.006820 s: order_iso.preimage_Ioo 0.002546 s: free_magma.lift.equations._eqn_1 0.012136 s: category_theory.graded_object.comap_equiv.equations._eqn_1 0.000672 s: equiv.option_equiv_sum_punit_symm_inr 0.000179 s: cardinal.is_equivalent._match_1.equations._eqn_1 0.005129 s: linear_map.cod_restrict.equations._eqn_1 0.000617 s: star_monoid.no_confusion 0.000806 s: star_monoid.mk.inj 0.001667 s: order_top.sizeof 0.002819 s: order_top.mk.sizeof_spec 0.000457 s: category_theory.subobject.complete_lattice._proof_2 0.000599 s: category_theory.subobject.complete_lattice._proof_3 0.000560 s: category_theory.subobject.complete_lattice._proof_4 0.001029 s: category_theory.subobject.complete_lattice._proof_6 0.001089 s: category_theory.subobject.complete_lattice._proof_7 0.001003 s: category_theory.subobject.complete_lattice._proof_10 0.000095 s: category_theory.subobject.complete_lattice._proof_13 0.000881 s: category_theory.subobject.complete_lattice._proof_14 0.000742 s: category_theory.subobject.complete_lattice._proof_15 0.000559 s: category_theory.subobject.complete_lattice._proof_17 0.017615 s: category_theory.subobject.complete_lattice 0.000684 s: eventually_eq_nhds_within_iff 0.004444 s: setoid.correspondence._match_2.equations._eqn_1 0.003929 s: linear_equiv.coe_of_injective_endo 0.337541 s: continuous_multilinear_curry_right_equiv'.equations._eqn_1 0.000287 s: filter.germ.semilattice_inf_bot._proof_1 0.000755 s: filter.germ.semilattice_inf_bot._proof_5 0.000493 s: filter.germ.semilattice_inf_bot._proof_6 0.000338 s: filter.germ.semilattice_inf_bot._proof_7 0.000542 s: filter.germ.semilattice_inf_bot._proof_8 0.017457 s: filter.germ.semilattice_inf_bot 0.005106 s: filter.germ.semilattice_inf_bot.equations._eqn_1 0.000090 s: zmod.has_inv.equations._eqn_1 0.000099 s: AddSemigroup.of.equations._eqn_1 0.000033 s: auto_param.equations._eqn_1 0.001251 s: unique_diff_within_at.cases_on 0.000587 s: polynomial.char_p.equations._eqn_1 0.000370 s: filter.eventually_eq.is_local_max_on_iff 0.000313 s: complex.nat_cast_im 0.000727 s: category_theory.has_colimits_of_shape_of_has_colimits_of_shape_creates_colimits_of_shape 0.001175 s: omega.int.preform.binduction_on 0.001054 s: filter.tendsto.is_cobounded_under_le 0.000500 s: equiv.sum_empty_symm_apply 0.000163 s: monotone.tendsto_at_bot_at_bot_iff 0.001617 s: list.is_prefix.filter_map 0.000123 s: list.is_prefix.reduce_option 0.000397 s: category_theory.full_subcategory.full.equations._eqn_1 0.001082 s: lcm_dvd_lcm_mul_right_right 0.001838 s: linear_map.ltensor.equations._eqn_1 0.006696 s: linear_map.ltensor_comp_map 0.000999 s: equiv.perm.trans_one 0.000753 s: category_theory.decidable_eq_of_unop.equations._eqn_1 0.118164 s: filter.tendsto.cpow 0.000496 s: continuous_at.cpow 0.014927 s: tensor_product.has_neg.equations._eqn_1 0.004536 s: ordered_comm_monoid.sizeof 0.010869 s: ordered_comm_monoid.mk.sizeof_spec 0.339194 s: polynomial.gal.gal_action_hom._proof_1 0.398195 s: polynomial.gal.gal_action_hom 0.000307 s: nat.upto.has_lt.equations._eqn_1 0.046004 s: normed_group_hom.norm_comp_le 0.014335 s: int.shiftr_eq_div_pow 0.003192 s: matrix.cons_sub 0.002183 s: category_theory.limits.is_limit.lift_self 0.000498 s: category_theory.is_subterminal.iso_diag.equations._eqn_1 0.000739 s: linear_equiv.to_affine_equiv._proof_1 0.005095 s: linear_equiv.to_affine_equiv 0.005314 s: category_theory.limits.pullback_cone.is_limit_aux.equations._eqn_1 0.000098 s: pnat.xgcd.equations._eqn_1 0.000093 s: free_semigroup.is_lawful_traversable._proof_1 0.017190 s: tensor_product.lift_aux._match_1.equations._eqn_5 0.000428 s: nonempty_linear_equiv_of_dim_eq 0.000594 s: linear_equiv.of_dim_eq 0.002459 s: linear_equiv.of_dim_eq.equations._eqn_1 0.004126 s: asymptotics.is_O_with.trans_le 0.019158 s: Module.has_limits.limit_cone_is_limit.equations._eqn_1 0.000282 s: normed_algebra.norm_one_class 0.006681 s: algebra.bot_equiv_of_injective._match_1.equations._eqn_1 0.000451 s: is_max_on.add 0.011028 s: is_max_on.sub 0.000659 s: uniform_space.completion.completion_separation_quotient_equiv.equations._eqn_1 0.003686 s: free_group.induction_on 0.001689 s: free_group.map_one 0.000629 s: free_group.map_pure 0.002210 s: free_group.map_mul 0.002576 s: free_group.one_bind 0.001529 s: free_group.inv_bind 0.001525 s: free_group.mul_bind 0.177112 s: free_group.is_lawful_monad 0.180028 s: free_group.is_lawful_monad.equations._eqn_1 0.015890 s: is_open_map.functor_map_down_down 0.000083 s: computability.fin_encoding_nat_bool.equations._eqn_1 0.000650 s: lazy_list.decidable_eq._main._proof_4 0.002489 s: lazy_list.decidable_eq._main.equations._eqn_4 0.004434 s: category_theory.of_equiv_functor._proof_1 0.000774 s: equiv.to_iso_hom 0.003551 s: category_theory.of_equiv_functor._proof_2 0.001678 s: category_theory.of_equiv_functor 0.002446 s: category_theory.of_equiv_functor.equations._eqn_1 0.016286 s: ideal.quotient.mkₐ_to_ring_hom 0.000251 s: computable.list_cons 0.006612 s: computable.list_of_fn 0.000904 s: fderiv_id' 0.000454 s: list.partition._main.equations._eqn_1 0.000384 s: has_measurable_sub₂.drec 0.031661 s: is_primitive_root.is_primitive_root_iff' 0.015611 s: Group.adj._proof_1 0.005551 s: Group.adj 0.000201 s: snum.succ.equations._eqn_1 0.003630 s: turing.TM2to1.tr_cfg.drec_on 0.000600 s: AddCommGroup.colimits.prequotient.neg.sizeof_spec 0.001327 s: affine_equiv.group._proof_1 0.003606 s: affine_equiv.group._proof_2 0.002541 s: affine_equiv.group._proof_3 0.002582 s: affine_equiv.group._proof_5 0.003192 s: affine_equiv.group._proof_6 0.235923 s: affine_equiv.group 0.005541 s: affine_equiv.mul_def 0.000306 s: int.gcd_dvd_gcd_of_dvd_right 0.008214 s: int.gcd_dvd_gcd_mul_left_right 0.008374 s: set.Ioo_union_Ioi' 0.000093 s: omega.update._sunfold 0.000211 s: finsets.inhabited.equations._eqn_1 0.000112 s: measurable_set.congr 0.016653 s: perfect_closure.has_mul.equations._eqn_1 0.000466 s: submodule.unique.equations._eqn_1 0.000042 s: tactic.eliminate.generalization_mode.has_sizeof_inst 0.004728 s: equiv.domain.equations._eqn_1 0.000377 s: ennreal.one_half_lt_one 0.000274 s: list.mfind 0.006042 s: category_theory.equivalence.refl_unit_iso 0.004032 s: function.injective.cancel_monoid_with_zero._proof_4 0.000099 s: linarith.ineq.cmp._main.equations._eqn_4 0.007856 s: continuous_linear_map.coe_prod_map' 0.004518 s: category_theory.kleisli.kleisli.category.equations._eqn_1 0.000315 s: list.ilast'._main.equations._eqn_1 0.000097 s: list.ilast'.equations._eqn_1 0.002311 s: equiv.is_lawful_functor' 0.000866 s: equiv.is_lawful_traversable'._proof_1 0.002136 s: equiv.is_lawful_traversable'._proof_3 0.001396 s: equiv.is_lawful_traversable'._proof_4 0.001551 s: equiv.is_lawful_traversable'._proof_5 0.001440 s: equiv.is_lawful_traversable' 0.001651 s: equiv.is_lawful_traversable'.equations._eqn_1 0.000315 s: list.map₂_left._sunfold 0.002664 s: power_series.constant_coeff_zero 0.000794 s: multiset.erase_zero 0.001854 s: lie_module.is_nilpotent.drec_on 0.021110 s: skew_adjoint_lie_subalgebra._proof_2 0.022081 s: skew_adjoint_lie_subalgebra._proof_3 0.029100 s: bilin_form.mem_skew_adjoint_submodule 0.010037 s: bilin_form.is_adjoint_pair.sub 0.001809 s: bilin_form.is_adjoint_pair.mul 0.027107 s: bilin_form.is_skew_adjoint_bracket 0.074166 s: skew_adjoint_lie_subalgebra 0.000297 s: monad_io_process.cases_on 0.000388 s: monad_io_process.no_confusion_type 0.008148 s: monad_io_process.no_confusion 0.002192 s: monad_io_process.mk.inj 0.002682 s: filter.realizer.inf._match_1.equations._eqn_1 0.000180 s: as_linear_order.inhabited 0.079315 s: continuous_multilinear_curry_left_equiv_symm_apply 0.009816 s: is_dedekind_domain_dvr.rec_on 0.000183 s: computable.list_append 0.002604 s: nonarchimedean_add_group.drec_on 0.018400 s: exterior_algebra.lift.equations._eqn_1 0.009721 s: multilinear_curry_right_equiv._proof_4 0.001759 s: continuous_linear_map.to_semi_normed_group.equations._eqn_1 0.000226 s: omega.nat.nonneg_consts_core._main.equations._eqn_1 0.000292 s: ring_invo.inhabited.equations._eqn_1 0.052795 s: continuous_multilinear_curry_fin1_apply 0.000463 s: add_monoid_algebra.to_multiplicative._proof_2 0.000221 s: Gromov_Hausdorff.aux_gluing._proof_1 0.000029 s: Gromov_Hausdorff.aux_gluing._proof_3 0.000096 s: Gromov_Hausdorff.aux_gluing._proof_4 0.000024 s: Gromov_Hausdorff.aux_gluing._proof_5 0.000085 s: Gromov_Hausdorff.aux_gluing._proof_6 0.000023 s: Gromov_Hausdorff.aux_gluing._proof_7 0.007452 s: Gromov_Hausdorff.aux_gluing._proof_9 0.002230 s: Gromov_Hausdorff.aux_gluing._proof_11 0.000097 s: Gromov_Hausdorff.aux_gluing._proof_14 0.000029 s: Gromov_Hausdorff.aux_gluing._proof_15 0.002423 s: Gromov_Hausdorff.aux_gluing 0.002502 s: Gromov_Hausdorff.aux_gluing.equations._eqn_1 0.003209 s: intermediate_field.mk.inj 0.000223 s: name.mk_numeral.inj 0.000074 s: name.mk_numeral.inj_arrow 0.000204 s: add_semiconj_by.neg_symm_left 0.000256 s: add_commute.neg_left 0.000527 s: add_commute.neg_add_cancel 0.000711 s: add_commute.neg_add_cancel_assoc 0.001731 s: monoid_hom.comp_hom_apply_apply 0.000095 s: prod.inhabited 0.000070 s: lex.inhabited 0.001645 s: homeomorph.shear_mul_right_coe 0.000089 s: false.elim.equations._eqn_1 0.000122 s: totally_separated_space.cases_on 0.002970 s: has_fpower_series_on_ball.rec_on 0.001170 s: list.bex_cons 0.000276 s: has_measurable_inv.drec_on 0.003824 s: structomorph.mk.inj_eq 0.000308 s: roption.equiv_option.equations._eqn_1 0.000196 s: ordnode.find_ge_aux._sunfold 0.000986 s: category_theory.subobject.iso_of_eq 0.002939 s: category_theory.subobject.iso_of_eq_hom 0.005104 s: category_theory.limits.diagram_of_cones.sizeof 0.000823 s: function.injective.add_action._proof_1 0.001633 s: function.injective.add_action._proof_2 0.000888 s: function.injective.add_action 0.079535 s: times_cont_diff.norm 0.000432 s: category_theory.has_split_coequalizer.rec_on 0.011396 s: submodule.to_ordered_add_comm_monoid._proof_3 0.000742 s: mv_power_series.semimodule.equations._eqn_1 0.000303 s: complex.has_measurable_pow.equations._eqn_1 0.010653 s: ulift.add_comm_group._proof_4 0.000837 s: exists_elim_eq_right 0.126725 s: perfection.comm_ring.equations._eqn_1 0.000127 s: finset.has_repr 0.000754 s: ordnode.insert_max._main.equations._eqn_1 0.000108 s: ordnode.insert_max.equations._eqn_1 0.014834 s: category_theory.cofinal.limit_iso 0.000311 s: rand_nat._match_1.equations._eqn_1 0.000433 s: stone_cech_setoid.equations._eqn_1 0.003493 s: tactic.ring.horner_def' 0.044198 s: topological_vector_bundle.trivial_bundle_trivialization.equations._eqn_1 0.000542 s: finset.insert_sdiff_insert 0.000720 s: category_theory.iso_of_both_ways.equations._eqn_1 0.010686 s: category_theory.monoidal_category.sizeof 0.000062 s: category_theory.monoidal_category.has_sizeof_inst 0.007775 s: diffeomorph.unique_mdiff_on_preimage 0.086192 s: continuous_linear_map.prodₗᵢ._proof_7 0.021190 s: is_coprime.dvd_of_dvd_mul_left 0.004556 s: alg_equiv.of_injective_apply 0.009526 s: measure_theory.integrable.to_L1_neg 0.002001 s: category_theory.subobject.factor_thru_right 0.001411 s: list.map_reverse_tails 0.000221 s: typevec.arrow.mp._sunfold 0.000235 s: congr_refl_left 0.000182 s: is_min_filter.undual 0.030703 s: perfection.lift.equations._eqn_1 0.007246 s: category_theory.cofinal.colimit_cocone_of_comp_is_colimit 0.009173 s: add_con.Sup_eq_add_con_gen 0.004459 s: free_group.map.comp 0.002515 s: free_group.free_group_congr._proof_1 0.002050 s: free_group.free_group_congr._proof_2 0.000929 s: free_group.free_group_congr 0.001453 s: free_group.free_group_congr.equations._eqn_1 0.008273 s: invariant_basis_number.drec_on 0.003386 s: finsupp.snd_sum_finsupp_lequiv_prod_finsupp 0.000131 s: dlist.empty.equations._eqn_1 0.000053 s: tactic.interactive.rep_arity.many.sizeof_spec 0.000767 s: regular_space.dcases_on 0.007035 s: category_theory.limits.is_limit.cone_point_unique_up_to_iso_inv_comp_assoc 0.000432 s: is_subfield.drec 0.005622 s: category_theory.functor.map_cone_postcompose_hom_hom 0.014973 s: holor.cprank_max_sum 0.013086 s: holor.cprank_max_upper_bound 0.007371 s: ordinal.typein_apply 0.001766 s: simple_graph.is_SRG_of.card 0.005350 s: category_theory.limits.coprod.functor_obj_map 0.001883 s: category_theory.limits.biprod.map_snd_assoc 0.000174 s: set.Ici_top 0.004576 s: dfinsupp.subtype_domain_add 0.011777 s: dfinsupp.subtype_domain.is_add_monoid_hom 0.000083 s: zsqrtd.one.equations._eqn_1 0.000590 s: category_theory.rel.equations._eqn_1 0.000125 s: multiplicative.right_cancel_semigroup._proof_2 0.003866 s: multiplicative.right_cancel_semigroup 0.001748 s: multiplicative.right_cancel_semigroup.equations._eqn_1 0.248039 s: has_deriv_within_at.limsup_slope_le' 0.134301 s: has_deriv_within_at.liminf_right_slope_le 0.084268 s: image_le_of_deriv_right_lt_deriv_boundary' 0.142866 s: image_le_of_deriv_right_lt_deriv_boundary 0.000585 s: localization.equations._eqn_1 0.000121 s: nat.add_monoid.equations._eqn_1 0.037909 s: disjoint_sup_right 0.000189 s: disjoint.sup_right 0.000611 s: measurable_space.dynkin_system.to_measurable_space.equations._eqn_1 0.002744 s: measure_theory.integral_sub' 0.000111 s: int.gcd_pos_of_non_zero_left 0.000032 s: num.div2.equations._eqn_1 0.605127 s: matrix.finite_dimensional.equations._eqn_1 0.002690 s: finprod_mem_union 0.001233 s: lists.equiv.decidable_meas._main.equations._eqn_2 0.002534 s: measurable_space.map.equations._eqn_1 0.000183 s: parser.static.many' 0.000163 s: parser.static.many'.equations._eqn_1 0.000389 s: relator.bi_total.drec 0.000498 s: linear_ordered_comm_group.npow._default.equations._eqn_1 0.006095 s: Group.limit_group.equations._eqn_1 0.014984 s: hahn_series.to_power_series_symm_apply_coeff 0.005642 s: slim_check.nat.shrink.equations._eqn_1 0.000302 s: has_coe_to_fun.mk.inj 0.000027 s: tactic.rewrite_search.using_conv.splice_result.inhabited 0.008423 s: category_theory.limits.has_image_iso_comp.equations._eqn_1 0.001262 s: typevec.append1._main.equations._eqn_2 0.000363 s: typevec.append1.equations._eqn_2 0.002171 s: parser.bounded.remaining 0.010328 s: linear_map.map_comp_ltensor 0.135154 s: interval_integral.integral_mul_const 0.159633 s: interval_integral.integral_div 0.020012 s: list.mem_inter_of_mem_of_mem 0.008426 s: category_theory.limits.cone_morphism.w' 0.000806 s: list.decidable_ball.equations._eqn_1 0.000401 s: has_measurable_smul.rec_on 0.059794 s: mv_polynomial.aeval.equations._eqn_1 0.007200 s: submodule.has_inf.equations._eqn_1 0.000378 s: category_theory.subsingleton_of_unop.equations._eqn_1 0.124622 s: continuous_multilinear_map.curry_fin_finset_symm_apply 0.008176 s: additive.linear_ordered_add_comm_monoid._proof_3 0.006183 s: category_theory.iso.Mon_iso_to_mul_equiv 0.004892 s: category_theory.iso.Mon_iso_to_mul_equiv.equations._eqn_1 0.005480 s: list.pairwise_pmap 0.000924 s: list.pairwise.pmap 0.001904 s: nat.sub_mono_left_strict 0.000862 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr.rec 0.000165 s: _nest_1_1.tactic.rewrite_search.using_conv.app_addr.rec 0.000213 s: tactic.rewrite_search.using_conv.app_addr.rec 0.000386 s: pi.ordered_cancel_comm_monoid._proof_10 0.002944 s: alg_equiv.lift_normal.equations._eqn_1 0.000219 s: vadd_comm_class.rec_on 0.001525 s: model_with_corners.rec_on 0.000486 s: equiv.has_neg.equations._eqn_1 0.000239 s: pi_setoid.equations._eqn_1 0.024815 s: continuous_linear_map.semimodule.equations._eqn_1 0.013100 s: category_theory.limits.biprod.map_eq 0.000170 s: nat.bodd_div2._main.equations._eqn_1 0.000062 s: nat.bodd_div2.equations._eqn_1 0.001757 s: applicative_transformation.mk.inj_arrow 0.008159 s: uniform_space.separation_prod 0.003083 s: category_theory.over.construct_products.cones_equiv_functor_obj_X 0.000695 s: measure_theory.simple_func.mk.inj_arrow 0.002229 s: ideal.radical._match_2.equations._eqn_1 0.000380 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.mk_2.inj 0.000104 s: _nest_2_1.tactic.rewrite_search.dir_pair._nest_1_1.tactic.rewrite_search.using_conv.app_addr.mk.inj 0.000121 s: _nest_2_1.tactic.rewrite_search.dir_pair._nest_1_1.tactic.rewrite_search.using_conv.app_addr.mk.inj_arrow 0.001112 s: equiv.Pi_congr_left'.equations._eqn_1 0.001576 s: category_theory.with_terminal.incl.category_theory.full._proof_1 0.000954 s: category_theory.with_terminal.incl.category_theory.full 0.000838 s: category_theory.limits.colimit_cocone.mk.inj 0.000419 s: category_theory.limits.colimit_cocone.mk.inj_arrow 0.000227 s: Magma.has_mul.equations._eqn_1 0.001155 s: quaternion.coe_commute 0.021477 s: equiv.perm.extend_domain_symm 0.000206 s: tactic.ring2.horner_expr.neg.equations._eqn_1 0.003530 s: quiver.path.comp._sunfold 0.003318 s: category_theory.limits.is_limit.postcompose_hom_equiv.equations._eqn_1 0.000364 s: alist.union.equations._eqn_1 0.000344 s: AddCommGroup.colimits.prequotient.inhabited.equations._eqn_1 0.000143 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_3 0.000596 s: category_theory.category_struct.no_confusion 0.122090 s: gt_of_mul_lt_mul_neg_left 0.017477 s: category_theory.limits.lim_lax_obj 0.010236 s: polynomial.subalgebra.nontrivial 0.000087 s: list.split_on_p_aux 0.000075 s: list.split_on_p 0.000203 s: vector3.cons.equations._eqn_1 0.005512 s: sSet.horn_inclusion._proof_1 0.005238 s: sSet.horn_inclusion 0.002950 s: sSet.horn_inclusion.equations._eqn_1 0.001671 s: mul_equiv.to_ring_equiv.equations._eqn_1 0.000229 s: category_theory.closed.cases_on 0.000188 s: category_theory.closed.no_confusion_type 0.000421 s: category_theory.closed.no_confusion 0.000346 s: category_theory.closed.mk.inj 0.000190 s: category_theory.closed.mk.inj_arrow 0.000081 s: complex.has_mul.equations._eqn_1 0.000335 s: colex.has_lt.lt.is_asymm.equations._eqn_1 0.008072 s: ring_quot.semiring.equations._eqn_1 0.001020 s: pi.partial_order.equations._eqn_1 0.000157 s: function.injective_of_subsingleton 0.004709 s: category_theory.monad.algebra_functor_of_monad_hom_eq_inv_app_f 0.000631 s: filter.lift'_pure 0.002641 s: category_theory.limits.biprod.map_iso._proof_1 0.000795 s: category_theory.limits.biprod.map_iso 0.000815 s: category_theory.limits.biprod.map_iso.equations._eqn_1 0.000172 s: filter.germ.has_top.equations._eqn_1 0.002858 s: category_theory.monoidal_category.left_unitor_nat_iso.equations._eqn_1 0.000080 s: zsqrtd.zero.equations._eqn_1 0.210682 s: filter.map_at_top_finset_prod_le_of_prod_eq 0.011767 s: finset.prod_preimage' 0.003947 s: finset.prod_preimage 0.008433 s: function.injective.map_at_top_finset_prod_eq 0.017411 s: int.div_le_of_le_mul 0.003305 s: int.mul_lt_of_lt_div 0.011094 s: category_theory.limits.cones.postcompose_id._proof_1 0.000248 s: turing.TM1.cfg.no_confusion_type 0.004470 s: ordered_semiring.sizeof 0.000081 s: list.tfae_nil 0.000226 s: rbmap.max 0.000182 s: rbmap.max.equations._eqn_1 0.004685 s: finsupp.total_on_finset 0.000767 s: category_theory.limits.binary_biproduct.is_limit.equations._eqn_1 0.000301 s: omega.int.nnf._main.equations._eqn_1 0.001013 s: tactic_doc._1304296781 0.054697 s: matrix.to_lin_alg_equiv_apply 0.007847 s: probability_theory.indep_set.equations._eqn_1 0.013025 s: continuous_multilinear_map.mk_pi_algebra_apply 0.130150 s: continuous_multilinear_map.norm_mk_pi_algebra_of_empty 0.014594 s: submodule.to_linear_ordered_add_comm_group._proof_4 0.000163 s: multiplicative.inhabited 0.000142 s: multiplicative.inhabited.equations._eqn_1 0.002146 s: set.Iic_diff_Iio 0.003737 s: frontier_Iio 0.037725 s: category_theory.prod_preserves_connected_limits._proof_4 0.029781 s: complex.ext_abs_arg 0.000135 s: dmatrix.row._main 0.000220 s: dmatrix.row._main.equations._eqn_1 0.000102 s: vector.remove_nth 0.000409 s: vector.remove_nth.equations._eqn_1 0.006156 s: vector.remove_nth_val 0.000462 s: continuous_at_subtype_coe 0.004111 s: vector.continuous_at_remove_nth 0.001613 s: category_theory.iso.symm_self_conj 0.000671 s: add_eq_of_eq_add_neg 0.000031 s: algebraic_geometry.Scheme.has_emptyc 0.000082 s: algebraic_geometry.Scheme.has_emptyc.equations._eqn_1 0.001828 s: category_theory.limits.cone.of_pullback_cone.equations._eqn_1 0.000228 s: expr.coord.repr._main.equations._eqn_6 0.000064 s: expr.coord.repr.equations._eqn_6 0.000092 s: nat.digits_aux.equations._eqn_1 0.002925 s: subalgebra.map.equations._eqn_1 0.002947 s: add_submonoid.localization_map.away_map.lift 0.001556 s: add_submonoid.localization_map.away_map.lift.equations._eqn_1 0.001670 s: mul_equiv.apply_eq_iff_symm_apply 0.000077 s: has_fix.no_confusion_type 0.000021 s: omega.gcd 0.000318 s: omega.gcd._main.equations._eqn_1 0.000049 s: omega.gcd.equations._eqn_1 0.001270 s: Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index.equations._eqn_1 0.000237 s: has_exists_mul_of_le.exists_mul_of_le 0.001409 s: turing.tm2_computable.mk.inj_arrow 0.001399 s: pi.single_smul' 0.006026 s: category_theory.Monad.Mon_to_Monad_map_to_nat_trans_app 0.001343 s: is_coprime.of_mul_add_left_right 0.000049 s: num.has_zero.equations._eqn_1 0.018620 s: witt_vector.is_poly.poly 0.001119 s: category_theory.nat_trans.id.equations._eqn_1 0.007060 s: category_theory.limits.binary_fan.assoc_inv.equations._eqn_1 0.000724 s: ordnode.span._main.equations._eqn_1 0.000708 s: seq.append._match_1.equations._eqn_2 0.004059 s: category_theory.nat_iso.unop.equations._eqn_1 0.006328 s: polynomial.dickson_of_two_le 0.000751 s: multiset.lift_coe 0.000073 s: pfun.image 0.003667 s: pfun.image_mono 0.019034 s: units.zero_lt 0.193324 s: nhds_within_pi_eq 0.196459 s: nhds_within_pi_univ_eq 0.000105 s: turing.fin_tm2.σ.inhabited.equations._eqn_1 0.001764 s: finsupp.order_bot.equations._eqn_1 0.030901 s: category_theory.limits.is_cokernel.of_iso_comp.equations._eqn_1 0.008991 s: pi.add_cancel_comm_monoid._proof_7 0.001831 s: multiset.gcd_add 0.001616 s: multiset.gcd_union 0.000143 s: _nest_1_1.tactic.tactic_script.base.sizeof_spec 0.000472 s: list.disjoint_of_subset_right 0.000922 s: list.subset_cons 0.000120 s: list.disjoint_of_disjoint_cons_right 0.010328 s: zmod.int_cast_comp_cast 0.001721 s: subfield.copy.equations._eqn_1 0.000533 s: subtype.t2_space 0.000443 s: subtype.t2_space.equations._eqn_1 0.000144 s: list.repr._sunfold 0.000365 s: order_closed_topology.drec 0.003304 s: le_cInf_inter 0.001315 s: category_theory.monadic_of_reflective.equations._eqn_1 0.000613 s: set.image_preimage_inter 0.000755 s: prod.right_cancel_add_semigroup.equations._eqn_1 0.000557 s: pgame.list_short.binduction_on 0.000464 s: is_coatomic.cases_on 0.000735 s: add_submonoid.to_linear_ordered_add_comm_monoid._proof_1 0.000858 s: add_submonoid.to_linear_ordered_add_comm_monoid._proof_2 0.000898 s: add_submonoid.to_linear_ordered_add_comm_monoid._proof_3 0.004052 s: add_submonoid.to_linear_ordered_add_comm_monoid 0.002836 s: add_submonoid.to_linear_ordered_add_comm_monoid.equations._eqn_1 0.000136 s: list.decidable_sublist._main._proof_5 0.006894 s: category_theory.limits.cofork.is_colimit.mk'.equations._eqn_1 0.000579 s: submonoid.topological_closure.equations._eqn_1 0.000434 s: prime_spectrum.zero_locus.equations._eqn_1 0.000087 s: has_coe_t_aux.no_confusion_type 0.000334 s: has_coe_t_aux.no_confusion 0.003138 s: category_theory.symmetric_of_has_finite_products_to_braided_category_braiding 0.000079 s: tactic.ring2.horner_expr.is_cs._sunfold 0.003417 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_3.equations._eqn_1 0.000520 s: equiv.sigma_equiv_prod._match_1.equations._eqn_1 0.000838 s: homeomorph.coe_prod_comm 0.000016 s: tactic.delta_config.visit_instances._default 0.001417 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_1 0.000804 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_3 0.000755 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_5 0.000403 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_7 0.000498 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_8 0.000426 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_10 0.000215 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim._proof_12 0.005479 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim 0.000376 s: submonoid.rec_on 0.003386 s: linear_map.smul_right_apply 0.000861 s: slim_check.test_forall_in_list._match_1._proof_1 0.002531 s: slim_check.test_forall_in_list._match_1.equations._eqn_1 0.000284 s: category_theory.pretopology.inhabited.equations._eqn_1 0.000605 s: turing.TM1.stmt.write.inj_eq 0.001304 s: category_theory.limits.preserves_limit.rec_on 0.000043 s: division_ring.has_sizeof_inst 0.000092 s: unsigned.has_zero 0.000022 s: unsigned.inhabited 0.000027 s: unsigned.inhabited.equations._eqn_1 0.000083 s: function.is_fixed_pt.is_periodic_pt 0.000555 s: measurable_const_smul_iff' 0.026684 s: finsupp.to_multiset_sum 0.000612 s: uniform_add_group.dcases_on 0.004935 s: int.not_even_bit1 0.003038 s: int.two_not_dvd_two_mul_add_one 0.000740 s: continuous_linear_map.default_def 0.031687 s: ulift.add_comm_group._proof_7 0.011519 s: mul_semiring_action_hom.id.equations._eqn_1 0.000356 s: pos_num.ldiff._main.equations._eqn_2 0.000041 s: pos_num.ldiff.equations._eqn_2 0.001484 s: fn_min_mul_fn_max 0.001157 s: min_mul_max 0.001814 s: category_theory.limits.has_pushouts_of_has_colimit_span 0.000073 s: has_lt.rec_on 0.001016 s: hahn_series.summable_family.hsum.equations._eqn_1 0.005464 s: add_subgroup.comap_subtype_inf_right 0.021526 s: topological_ring_quotient_topology.equations._eqn_1 0.003408 s: subalgebra.nsmul_mem 0.006081 s: subalgebra.gsmul_mem 0.037277 s: category_theory.adjunction.cones_iso._proof_2 0.005512 s: continuous_multilinear_map.sizeof 0.001908 s: continuous_multilinear_map.has_sizeof_inst 0.000179 s: surreal.setoid.equations._eqn_1 0.000357 s: category_theory.limits.has_strong_epi_mono_factorisations.cases_on 0.001452 s: category_theory.presieve.is_sheaf_for_subsieve 0.031563 s: times_cont_diff_within_at.csinh 0.000088 s: unification_hint.constraints 0.008785 s: parser.bounded.any_char 0.023995 s: multiplicative.ordered_comm_group.equations._eqn_1 0.006334 s: category_theory.subobject.of_mk_le_comp_of_le_mk_assoc 0.000047 s: int.nat_abs._sunfold 0.005982 s: _private.2907559739.normal_mul_aux._match_1.equations._eqn_1 0.000607 s: mk_iff.list_option_merge._main.equations._eqn_3 0.001144 s: filter.tendsto.nsmul_at_top 0.001223 s: lists.mem.decidable._main.equations._eqn_2 0.000419 s: lists.mem.decidable.equations._eqn_2 0.005099 s: pequiv.trans_single_of_eq_none 0.003700 s: pequiv.single_trans_of_eq_none 0.001425 s: pequiv.single_trans_single_of_ne 0.000433 s: closure_operator.rec_on 0.000185 s: coe_base.equations._eqn_1 0.007797 s: measure_theory.ae_eq_fun.semimodule.equations._eqn_1 0.000203 s: pos.mk.inj 0.000074 s: pos.mk.inj_arrow 0.005448 s: category_theory.comonad.coalgebra.cases_on 0.002097 s: category_theory.comonad.coalgebra.no_confusion_type 0.001955 s: category_theory.comonad.coalgebra.no_confusion 0.004027 s: category_theory.comonad.coalgebra.mk.inj 0.005154 s: category_theory.comonad.coalgebra.mk.inj_arrow 0.000398 s: set.sInter_eq_comp_sUnion_compl 0.004072 s: bounded_lattice.copy.equations._eqn_1 0.000175 s: ordinal.is_equivalent._match_6.equations._eqn_1 0.000172 s: coe_sort.equations._eqn_1 0.015256 s: semilattice_sup.dual_dual 0.000108 s: tactic.ring2.horner_expr.add._sunfold 0.001060 s: list.mfilter._main.equations._eqn_2 0.000474 s: list.mfilter.equations._eqn_2 0.008061 s: set.image2_inter_subset_right 0.000521 s: list.rotate_cons_succ 0.004158 s: alg_equiv.of_left_inverse_symm_apply 0.002662 s: submodule.coe_subtypeL 0.000491 s: CommRing.colimits.prequotient.ibelow 0.001039 s: category_theory.subobject.iso_of_eq_mk_hom 0.076428 s: submonoid.comap_inf_map_of_injective 0.016661 s: concave_on.equations._eqn_1 0.002890 s: deriv_const_smul 0.000236 s: quot.lift_on.equations._eqn_1 0.000524 s: AddCommGroup.forget_preserves_limits._proof_1 0.076349 s: AddCommGroup.forget_preserves_limits 0.001698 s: category_theory.functor.cocones_obj 0.201857 s: intermediate_field.lift2_tower.equations._eqn_1 0.027314 s: is_add_subgroup.trivial_normal 0.002432 s: fin.cast_pred_monotone 0.005299 s: power_series.coeff_smul 0.000529 s: set.fintype_univ.equations._eqn_1 0.000262 s: magma.free_semigroup.r.rec_on 0.000027 s: combinator.K 0.000930 s: lazy_list.decidable_eq._main.equations._eqn_3 0.000048 s: decidable_eq.equations._eqn_1 0.008977 s: quiver.path.comp_assoc 0.000124 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_1 0.009335 s: local_homeomorph.is_image.left_inv_on_piecewise 0.008336 s: polynomial.monic.nat_degree_mul 0.001988 s: parser.bounded.mmap.equations._eqn_1 0.000123 s: turing.partrec_to_TM2.tr_llist._sunfold 0.000483 s: quaternion_algebra.coe_one 0.000098 s: turing.partrec_to_TM2.cfg'.equations._eqn_1 0.024004 s: category_theory.monoidal.transported_monoidal_unit_iso.equations._eqn_1 0.012294 s: category_theory.limits.is_cokernel.cokernel_iso.equations._eqn_1 0.000286 s: category_theory.limits.has_reflexive_coequalizers.cases_on 0.002434 s: multiset.one_le_prod_of_one_le 0.000399 s: is_right_distrib.drec_on 0.005532 s: monoid_hom.range_factorization._proof_4 0.000460 s: set.fintype_of_fintype_image._proof_1 0.000715 s: set.fintype_of_fintype_image 0.001047 s: set.fintype_of_fintype_image.equations._eqn_1 0.001038 s: padic_int.normed_comm_ring.equations._eqn_1 0.001009 s: one_hom.coe_comp 0.001839 s: one_hom.comp_one 0.002133 s: linear_map.range_id 0.000722 s: power_series.subalgebra.nontrivial.equations._eqn_1 0.000292 s: turing.TM2to1.st_act.inhabited 0.000409 s: turing.TM2to1.st_act.inhabited.equations._eqn_1 0.003369 s: add_submonoid.to_nat_submodule_symm 0.000788 s: category_theory.limits.has_binary_biproduct.has_colimit_pair.equations._eqn_1 0.000277 s: is_local_min.congr 0.004714 s: times_cont_diff_at.image_mem_to_local_homeomorph_target 0.003448 s: times_cont_diff_at.local_inverse_apply_image 0.006622 s: times_cont_diff_at.to_local_inverse 0.000492 s: add_equiv.add_equiv_of_unique_of_unique.equations._eqn_1 0.002582 s: list.length_enum_from 0.000133 s: list.length_enum 0.000176 s: parser.step.and_then' 0.000768 s: category_theory.limits.walking_parallel_pair_hom.comp._main.equations._eqn_1 0.000085 s: category_theory.limits.walking_parallel_pair_hom.comp.equations._eqn_1 0.011325 s: matrix.reindex_linear_equiv.equations._eqn_1 0.000379 s: category_theory.projective.left.equations._eqn_1 0.002618 s: nat.partrec'.cases_on 0.000036 s: tactic.simp_config.zeta._default 0.000604 s: slim_check.perm'.slim_check 0.000813 s: slim_check.perm'.slim_check.equations._eqn_1 0.000233 s: bool.decidable_forall_bool.equations._eqn_1 0.002312 s: continuous_map.lt_def 0.001855 s: Module.Mon_Module_equivalence_Algebra.Mon_.X.ring_nsmul 0.013123 s: CommMon_Type_equivalence_CommMon._proof_12 0.003021 s: submonoid.localization_map.mul_equiv_of_localizations_apply 3.972823 s: SemiRing.forget₂_Mon_preserves_limits_aux 3.901467 s: SemiRing.forget₂_Mon_preserves_limits_aux.equations._eqn_1 0.012738 s: list.zip_with_append 0.000023 s: true.cases_on 0.532434 s: filter.germ.linear_ordered_field.equations._eqn_1 0.040276 s: parser.unfailing.remaining 0.000516 s: ordnode.split3._match_1.equations._eqn_2 0.003987 s: filter.generate_sets.drec_on 0.002886 s: is_add_group_hom.dcases_on 0.002605 s: gcd_eq_of_dvd_sub_left 0.012337 s: mvpfunctor.W_path.child.inj_eq 0.002988 s: slim_check.test_result.to_string._main.equations._eqn_2 0.002751 s: slim_check.test_result.to_string.equations._eqn_2 0.000648 s: CommRing.forget₂_Ring_preserves_limits._proof_1 0.004972 s: category_theory.adjunction.is_right_adjoint_to_is_equivalence.equations._eqn_1 0.005254 s: finsupp.dom_congr_symm 0.000281 s: turing.TM1to1.tr_tape.equations._eqn_1 0.001546 s: alist.mk.sizeof_spec 0.001744 s: CommMon_.mul_comm' 0.000275 s: add_hom.congr_fun 0.000929 s: mul_inv_mul_self 0.001601 s: div_self_mul_self 0.002161 s: category_theory.preadditive.has_neg.neg.category_theory.mono.equations._eqn_1 0.000871 s: monoid_algebra.mul_single_apply 0.002911 s: category_theory.nat_trans.op_id 0.000253 s: slim_check.add_to_counter_example.equations._eqn_3 0.000472 s: category_theory.limits.unique_from_initial.equations._eqn_1 0.000468 s: category_theory.simplicial_object.truncated.category_theory.limits.has_colimits_of_shape.equations._eqn_1 0.002043 s: fin.nonempty_fin_lin_ord.equations._eqn_1 0.000556 s: pi_tensor_product.inhabited 0.000102 s: padic.add_comm_group.equations._eqn_1 0.025071 s: algebraic_geometry.const_apply' 0.005514 s: simple_graph.incidence_set_equiv_neighbor_set._match_1.equations._eqn_1 0.000858 s: list.has_decidable_lt._match_4._proof_2 0.001256 s: list.has_decidable_lt._match_4.equations._eqn_2 0.000230 s: small_max.equations._eqn_1 0.000547 s: encodable.of_left_injection.equations._eqn_1 0.001464 s: add_equiv.rec_on 0.000058 s: ordering.or_else._sunfold 0.006957 s: category_theory.ulift.equivalence_counit_iso_inv_app 0.000572 s: finprod_mem_insert 0.000610 s: measure_theory.has_finite_integral_add_measure 0.000192 s: gt.is_strict_order.equations._eqn_1 0.001002 s: category_theory.limits.parallel_pair._match_2.equations._eqn_1 0.000120 s: char.is_lower.equations._eqn_1 0.008129 s: set.Ioi_add_bij 0.001637 s: parser.numeral.from_one.of_fintype.bounded 0.000374 s: stream.cycle._main.equations._eqn_1 0.002453 s: order.le_cof 0.019075 s: nat.odd_mul_odd_div_two 0.005814 s: quaternion.sub_re 0.001201 s: slim_check.retry._main.equations._eqn_1 0.000253 s: slim_check.retry.equations._eqn_1 0.000097 s: io.catch 0.000216 s: io.finally 0.000290 s: io.finally.equations._eqn_1 0.191596 s: integral_of_real 0.000039 s: widget.mouse_event_kind.on_mouse_enter.inj 0.000028 s: widget.mouse_event_kind.on_mouse_enter.inj_arrow 0.023564 s: power_series.coeff_zero_mul_X 0.000769 s: omega.int.univ_close._main.equations._eqn_2 0.000130 s: omega.int.univ_close.equations._eqn_2 0.000099 s: io.process.spawn_args.cases_on 0.000174 s: free_semigroup.of.equations._eqn_1 0.035375 s: multilinear_map.dom_coprod'.equations._eqn_1 0.003535 s: commute.inv_mul_cancel 0.002334 s: commute.inv_mul_cancel_assoc 0.000241 s: ge.is_linear_order 0.000200 s: ge.is_linear_order.equations._eqn_1 0.001509 s: turing.TM2to1.tr_stmts₁._main.equations._eqn_7 0.001685 s: probability_theory.Indep.Indep_sets 0.002514 s: category_theory.limits.cones.forget_map 0.000199 s: option.orelse._main.equations._eqn_3 0.077272 s: circle_deg1_lift.translation_number_of_map_pow_eq_add_int 0.000385 s: d_array.decidable_eq._proof_2 0.000335 s: d_array.decidable_eq 0.013401 s: category_theory.limits.coprod.map_desc_assoc 0.003681 s: holor.cprank_max.drec_on 0.000086 s: _nest_1_1.tactic.tactic_script.base.inj_arrow 0.000106 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.none.sizeof_spec 0.000231 s: monad_state_trans 0.000467 s: list.map₂_left'.equations._eqn_3 0.000190 s: fp.float.is_zero._main.equations._eqn_3 0.006162 s: enat.sup_eq_max 0.000080 s: punit.sizeof._main.equations._eqn_1 0.000557 s: omega_complete_partial_order.continuous.equations._eqn_1 0.035734 s: submodule.fg_pow 0.000755 s: finmap.has_mem.mem.decidable.equations._eqn_1 0.014691 s: category_theory.costructured_arrow.map_map_left 0.004496 s: mv_polynomial.rename_comp_expand 0.001576 s: tactic_doc._1653891686 0.001090 s: Ring.forget₂_AddCommGroup_preserves_limits 0.000922 s: Ring.forget₂_AddCommGroup_preserves_limits.equations._eqn_1 0.000352 s: linarith.comp_source.scale.inj 0.000097 s: linarith.comp_source.scale.inj_arrow 0.005048 s: continuous_map.semilattice_sup.equations._eqn_1 0.001348 s: ring_hom.eq_of_eq_on_stop 0.000640 s: ring_hom.eq_slocus._proof_2 0.000375 s: ring_hom.eq_slocus._proof_3 0.000479 s: ring_hom.eq_slocus._proof_4 0.003700 s: ring_hom.eq_slocus 0.005509 s: ring_hom.eq_on_sclosure 0.000799 s: ring_hom.eq_of_eq_on_sdense 0.000086 s: has_to_string.rec_on 0.000072 s: lean.is_release 0.000146 s: turing.TM1.cfg.l 0.002805 s: seq.dropn_add 0.003587 s: seq.dropn_tail 0.001313 s: seq.head_dropn 0.000579 s: turing.TM1to1.writes.equations._eqn_3 0.004672 s: category_theory.triangulated.pretriangulated.triangulated_functor.no_confusion 0.004653 s: category_theory.triangulated.pretriangulated.triangulated_functor.mk.inj 0.003958 s: category_theory.triangulated.pretriangulated.triangulated_functor.mk.inj_arrow 0.000596 s: with_top.add_comm_semigroup.equations._eqn_1 0.001119 s: category_theory.is_kernel_pair.no_confusion_type 0.001186 s: category_theory.is_kernel_pair.no_confusion 0.002399 s: category_theory.is_kernel_pair.mk.inj 0.002685 s: category_theory.is_kernel_pair.mk.inj_eq 0.005651 s: canonically_linear_ordered_monoid.semilattice_sup_bot.equations._eqn_1 0.001789 s: category_theory.iso.AddMagma_iso_to_add_equiv.equations._eqn_1 0.000111 s: path_connected_space.some_path 0.000886 s: _nest_2_2.option.tactic.rewrite_search.using_conv.app_addr.cases_on 0.000079 s: _nest_1_1.option.tactic.rewrite_search.using_conv.app_addr.cases_on 0.006370 s: continuous_map.norm_le_of_nonempty 0.001422 s: is_lawful_bifunctor.flip._proof_1 0.001569 s: is_lawful_bifunctor.flip._proof_2 0.000314 s: is_lawful_bifunctor.flip 0.002215 s: add_submonoid.localization_map.away_map.lift_eq 0.054495 s: continuous_map.normed_algebra.equations._eqn_1 0.000172 s: ulift.down_up 0.007991 s: set.range_find_greatest_subset 0.001892 s: set.finite_range_find_greatest 0.006672 s: closed_under_restriction_id_restr_groupoid 0.004919 s: closed_under_restriction_id_restr_groupoid.equations._eqn_1 0.000855 s: polynomial.continuous_on_aeval 0.010828 s: Top.presheaf.sheaf_condition.opens_le_cover_cocone.equations._eqn_1 0.000130 s: order.pfilter.principal 0.002473 s: tangent_bundle.charted_space.equations._eqn_1 0.000099 s: matrix.block_diagonal'._main._proof_1 0.001166 s: matrix.block_diagonal'._main.equations._eqn_1 0.000009 s: lean.special_version_desc 0.000356 s: equiv.add_comm_group._proof_3 0.003062 s: topological_vector_bundle.trivialization.mk.inj 0.002146 s: topological_vector_bundle.trivialization.mk.inj_arrow 0.000654 s: category_theory.limits.image_factorisation.mk.sizeof_spec 0.000228 s: dense_range_iff_closure_range 0.000572 s: units.mul_right.equations._eqn_1 0.058809 s: dual_pair.mk.sizeof_spec 0.016944 s: continuous_multilinear_map.has_zero.equations._eqn_1 0.000566 s: group.conjugates_of_set_mono 0.002946 s: vector.map₂._sunfold 0.001866 s: Mon.colimits.cocone_morphism._proof_2 0.001290 s: ulift.is_scalar_tower'.equations._eqn_1 0.000231 s: has_neg.cases_on 0.000097 s: has_neg.no_confusion_type 0.000235 s: has_neg.no_confusion 0.000126 s: has_neg.mk.inj 0.004350 s: gcd_nsmul_card_eq_zero_iff 0.000101 s: nat.cast._sunfold 0.456957 s: bernoulli'_four 0.000207 s: prime_multiset.to_pnat_multiset.equations._eqn_1 0.059056 s: quaternion.conj_neg 0.001318 s: category_theory.regular_epi.of_split_epi.equations._eqn_1 0.007192 s: finsupp.lsum_apply 0.000980 s: category_theory.with_initial.lift_to_initial_obj 0.002642 s: multilinear_map.has_add.equations._eqn_1 0.001334 s: category_theory.iso.mk.sizeof_spec 0.000089 s: omega.int.preterm.ibelow 0.001138 s: Set.choice_mem 0.001144 s: intermediate_field.has_lift2.equations._eqn_1 0.024084 s: multilinear_map.mk_pi_ring.equations._eqn_1 0.074949 s: module.direct_limit.of.equations._eqn_1 0.000083 s: simple_continued_fraction.inhabited 0.000253 s: continued_fraction.has_coe_to_generalized_continued_fraction 0.000413 s: continued_fraction.has_coe_to_generalized_continued_fraction.equations._eqn_1 0.019290 s: add_monoid_hom.iterate_map_gsmul 0.006984 s: ring_hom.iterate_map_gsmul 0.000934 s: interval_integral.FTC_filter.drec_on 0.000120 s: plift.seq.equations._eqn_1 0.007454 s: int.neg_succ_of_nat_eq' 0.002088 s: contracting_with.efixed_point_is_fixed_pt' 0.007362 s: matrix.semiring.equations._eqn_1 0.003729 s: submodule.restrict_scalars.equations._eqn_1 0.093548 s: is_galois.galois_insertion_intermediate_field_subgroup._proof_2 0.110287 s: is_galois.galois_insertion_intermediate_field_subgroup 0.113576 s: is_galois.galois_insertion_intermediate_field_subgroup.equations._eqn_1 0.030677 s: measure_theory.tendsto_lintegral_filter_of_dominated_convergence 0.004276 s: times_cont_diff_on.continuous_on_deriv_within 0.018946 s: ordered_semiring.mk.sizeof_spec 0.004512 s: subtype.t0_space._match_1 0.001841 s: subtype.t0_space._match_1.equations._eqn_1 0.009187 s: matrix.reindex_alg_equiv.equations._eqn_1 0.001094 s: ring_equiv.subring_congr._proof_3 0.002901 s: flow.is_invariant_iff_image_eq 0.003476 s: multiset.sum_smul 0.001143 s: category_theory.sum.inl_._proof_2 0.004529 s: equiv.perm.sign_of_subtype 0.000109 s: name.last_string.equations._eqn_1 0.002718 s: category_theory.iso.CommGroup_iso_to_add_equiv_symm_apply 0.000084 s: ordnode.of_asc_list_aux₁._main._pack._proof_1 0.002655 s: finsupp.dom_lcongr_refl 0.001089 s: finset.disjoint_empty_right 0.034227 s: mul_eq_mul_prime_prod 0.020421 s: mul_eq_mul_prime_pow 0.000268 s: psum.inr.inj 0.000256 s: psum.inr.inj_arrow 0.000067 s: tactic.abel.normalize_mode.raw.inj_eq 0.005119 s: is_closed_map_const 0.016228 s: is_closed_map_smul_left 0.000976 s: strict_mono_decr_on.dual 0.012275 s: prime_spectrum.as_ideal_lt_as_ideal 0.001175 s: function.semiconj₂.is_idempotent_right 0.000848 s: equiv.arrow_congr.is_idempotent 0.000513 s: equiv.arrow_congr.is_idempotent.equations._eqn_1 0.000374 s: cfilter.rec_on 0.000274 s: has_fix.no_confusion 0.000098 s: has_fix.mk.inj 0.000096 s: has_fix.mk.inj_arrow 0.004846 s: hahn_series.subalgebra.nontrivial 0.007555 s: hahn_series.subalgebra.nontrivial.equations._eqn_1 0.109268 s: measure_theory.finite_measure_zero 0.112963 s: measure_theory.finite_measure_zero.equations._eqn_1 0.016163 s: category_theory.pi.iso_app.equations._eqn_1 0.002784 s: add_monoid_hom.map_exists_right_neg 0.001539 s: pfunctor.approx.cofix_a.default._main.equations._eqn_2 0.000455 s: pfunctor.approx.cofix_a.default.equations._eqn_2 0.005451 s: category_theory.preadditive.induced_category.category._proof_1 0.002520 s: category_theory.preadditive.induced_category.category._proof_2 0.005069 s: category_theory.preadditive.induced_category.category 0.000250 s: filter.germ.ordered_cancel_add_comm_monoid._proof_7 0.000536 s: category_theory.limits.has_cokernels_of_has_coequalizers.equations._eqn_1 0.010606 s: category_theory.limits.limit.lift_π_app 0.009054 s: category_theory.limits.limit.lift_π_app_assoc 0.000662 s: equiv.ulift_symm_apply 0.001830 s: pseudo_metric_space.replace_uniformity.equations._eqn_1 0.063428 s: mv_polynomial.rename_equiv_symm 0.007135 s: ε_NFA.ε_closure.drec_on 0.001436 s: rat.coe_cast_hom 0.000728 s: name.to_string_with_sep._main.equations._eqn_3 0.016427 s: alg_hom.finite_presentation.id 0.009525 s: circle_deg1_lift.commute_sub_int 0.000143 s: io.fs.put_str_ln 0.000119 s: io.fs.put_str_ln.equations._eqn_1 0.003460 s: subring.mk.inj_eq 0.000388 s: option.maybe._main.equations._eqn_1 0.009684 s: direct_sum.ghas_mul.of_add_submonoids_mul 0.008881 s: category_theory.functor.id_comp 0.000082 s: pos_num.mul.equations._eqn_3 0.000737 s: ennreal.rpow._main.equations._eqn_1 0.000225 s: ennreal.rpow.equations._eqn_1 0.000502 s: ring.nsmul._default.equations._eqn_1 0.001573 s: list.decidable_prefix._match_2.equations._eqn_1 0.000337 s: filter.germ.add_semigroup.equations._eqn_1 0.039035 s: mv_polynomial.homogenous_submodule_eq_finsupp_supported 0.006329 s: finsum_eq_sum 0.000342 s: archimedean.rec_on 0.009672 s: discrete_valuation_ring.add_val_uniformizer 0.000250 s: ordnode.diff._sunfold 0.000311 s: is_monoid_hom.rec_on 0.011810 s: subfield.complete_lattice.equations._eqn_1 0.002718 s: multiset.cons_product 0.004752 s: quadratic_form.polar_smul_right_of_tower 0.281788 s: integral_closure.fraction_map_of_finite_extension.equations._eqn_1 0.030477 s: normal_add_subgroup.dcases_on 0.012872 s: additive.normal_add_subgroup_iff 0.000236 s: option.maybe.equations._eqn_2 0.011192 s: Cauchy.complete_space._match_1.equations._eqn_1 0.002629 s: ctop.realizer.id._match_2.equations._eqn_1 0.001070 s: witt_vector.has_mul.equations._eqn_1 0.000435 s: bundle.total_space.has_coe_t.equations._eqn_1 0.013174 s: algebraic_geometry.PresheafedSpace.forget_preserves_colimits._proof_1 0.003148 s: algebraic_geometry.PresheafedSpace.forget_preserves_colimits 0.003936 s: algebraic_geometry.PresheafedSpace.forget_preserves_colimits.equations._eqn_1 0.000878 s: set.image_add_const_Ioi 0.000910 s: ordnode.merge_node 0.022868 s: ordnode.valid'.merge_aux 0.000428 s: ordnode.valid.merge 0.003755 s: add_commute.left_comm 0.000377 s: equiv.comm_ring._proof_4 0.083012 s: lie_algebra.center_le_radical 0.010026 s: decidable_gpowers.equations._eqn_1 0.001007 s: set.smul_set_union 0.000298 s: free_group.reduce.rev 0.000259 s: free_group.reduce.church_rosser._proof_1 0.000144 s: free_group.reduce.church_rosser 0.000044 s: int.neg_of_nat._sunfold 0.000186 s: list.func.sub.equations._eqn_1 0.002550 s: list.func.sub_nil 0.000613 s: differentiable_snd 0.000473 s: differentiable_on_snd 0.000551 s: tactic.itauto.proof.or_imp_left.inj 0.000124 s: dmatrix.row 0.000195 s: dmatrix.row.equations._eqn_1 0.000175 s: category_theory.abelian.coimage_iso_image'._proof_1 0.000092 s: category_theory.abelian.coimage_iso_image'._proof_2 0.000114 s: category_theory.abelian.coimage_iso_image'._proof_3 0.001526 s: category_theory.abelian.coimage_iso_image' 0.001614 s: finset.subtype_map_of_mem 0.002300 s: filter.mk.inj_eq 0.000033 s: tactic.transparency.none.inj 0.000025 s: tactic.transparency.none.inj_arrow 0.001043 s: pgame.relabelling.rec_on 0.010170 s: lucas_lehmer.X.ω_mul_ωb 0.001765 s: lucas_lehmer.ω_unit._proof_1 0.000225 s: lucas_lehmer.ω_unit 0.000607 s: lucas_lehmer.ω_unit_coe 0.006252 s: list.mem_permutations_aux_of_perm 0.009721 s: category_theory.monoidal_of_chosen_finite_products.equations._eqn_1 0.003678 s: is_R_or_C.conj_neg_I 0.005243 s: pi.comm_monoid_with_zero._proof_4 0.001510 s: semiquot.order_top.equations._eqn_1 0.000541 s: polynomial.eval_finset_sum 0.600744 s: continuous_linear_map.norm_smul_rightL 0.007821 s: canonically_linear_ordered_monoid.decidable_lt._default 0.000344 s: nat.le_succ_of_pred_le 0.000519 s: ordinal.is_equivalent._match_2.equations._eqn_1 0.005486 s: category_theory.limits.limit.pre_π_assoc 0.024138 s: category_theory.limits.limit.map_pre 0.000833 s: pSet.resp.eval_aux._main._proof_1 0.000904 s: pSet.resp.eval_aux._main.equations._eqn_1 0.001529 s: paracompact_space.drec 0.070926 s: polynomial.content_X_mul 0.019484 s: polynomial.content_X_pow 0.010868 s: polynomial.content_monomial 0.002570 s: submonoid.mul_subset 0.000382 s: submonoid.mul_subset_closure 0.000652 s: submonoid.has_one.equations._eqn_1 0.013654 s: open_subgroup.partial_order.equations._eqn_1 0.002053 s: is_group_hom.drec 0.000707 s: vector.traverse.equations._eqn_1 0.006033 s: category_theory.nat_trans.epi_app_of_epi 0.000926 s: convex_cone.sizeof 0.001017 s: is_semiring_hom.dcases_on 0.004115 s: Top.forget_preserves_colimits 0.004508 s: Top.forget_preserves_colimits.equations._eqn_1 0.016827 s: category_theory.over.coprod_obj.equations._eqn_1 0.000191 s: has_Sup.mk.inj_arrow 0.000213 s: writer_t.mk.inj_arrow 0.005064 s: linear_pmap.mk.sizeof_spec 0.154729 s: witt_vector.constant_coeff_witt_neg 0.000285 s: turing.TM0.cfg.no_confusion_type 0.000667 s: turing.TM0.cfg.no_confusion 0.029436 s: polynomial.cast_int_comp 0.000147 s: id.traversable.equations._eqn_1 0.000378 s: simple_graph.matching.sizeof 0.000110 s: simple_graph.matching.has_sizeof_inst 0.004959 s: pi_tensor_product.eqv.drec_on 0.003311 s: _private.1748511589.rand_nat_aux._main._pack.equations._eqn_2 0.009634 s: right_ord_continuous.map_inf 0.000310 s: complex.nat_cast_re 0.002774 s: slim_check.injective_function.map_to_self.inj_eq 0.004251 s: pi.comm_monoid_with_zero._proof_7 0.000236 s: parser.static.many_char 0.000447 s: parser.static.many_char.equations._eqn_1 0.000236 s: set.finite.inhabited 0.000215 s: set.finite.inhabited.equations._eqn_1 0.000626 s: ordnode.split_at_aux._match_1.equations._eqn_1 0.001308 s: cau_seq.preorder.equations._eqn_1 0.000106 s: nnreal.has_le.equations._eqn_1 0.000345 s: alist.extract._match_1 0.000297 s: list.kextract._match_1.equations._eqn_1 0.008788 s: list.kextract_eq_lookup_kerase 0.002276 s: alist.extract._proof_1 0.000313 s: alist.extract 0.000439 s: alist.extract.equations._eqn_1 0.000563 s: alist.extract._match_1.equations._eqn_1 0.003986 s: alist.extract_eq_lookup_erase 0.003373 s: finmap.extract._proof_1 0.001563 s: category_theory.is_iso.of_groupoid.equations._eqn_1 0.000113 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linarith.ineq.eq.inj_eq 0.000042 s: omega.ee.neg.inj_arrow 0.000077 s: tactic.simp_config.constructor_eq 0.000803 s: set.Ici.semilattice_sup_top._proof_7 0.001740 s: semi_normed_add_torsor.mk.inj 0.001287 s: semi_normed_add_torsor.mk.inj_arrow 0.057464 s: has_fderiv_at.lim 0.000271 s: quotient_group.quotient.has_coe_t.equations._eqn_1 0.000099 s: CompHaus.has_sizeof_inst 0.000442 s: ring_hom.has_coe_monoid_hom.equations._eqn_1 0.030773 s: pequiv.semilattice_inf_bot._proof_7 0.009092 s: mul_semiring_action_hom.mk.inj_eq 0.001156 s: measure_theory.ae_is_measurably_generated.equations._eqn_1 0.000543 s: slim_check.injective_function.pi_injective.sampleable_ext._proof_3 0.008830 s: mv_polynomial.eval_assoc 0.000361 s: lists.equiv.decidable_meas.equations._eqn_2 0.000377 s: pos_num.ldiff._main.equations._eqn_9 0.000051 s: pos_num.ldiff.equations._eqn_9 0.001656 s: tendsto_inv_nhds_within_Iic 0.001239 s: traversable.map_fold.equations._eqn_1 0.000315 s: turing.partrec_to_TM2.halt.equations._eqn_1 0.043365 s: has_deriv_within_at.csin 0.071627 s: deriv_within_csin 0.030166 s: add_monoid_algebra.map_domain_mul 0.010565 s: add_monoid_algebra.to_multiplicative._proof_3 0.004239 s: category_theory.with_terminal.lift._match_2.equations._eqn_1 0.001256 s: odd_bit1 0.000532 s: ordnode.partition._match_1.equations._eqn_1 0.004015 s: category_theory.Monad.Monad_Mon_equiv_unit_iso 0.000673 s: list.zip_left'_nil_left 0.002105 s: category_theory.functor.cones_obj 0.002580 s: category_theory.equiv_yoneda'_inv 0.000509 s: rbnode.max._main.equations._eqn_1 0.000136 s: rbnode.max.equations._eqn_1 0.009122 s: linear_map.applyₗ._proof_2 0.000236 s: category_theory.limits.has_colimits_of_shape_wide_pushout_shape.equations._eqn_1 0.003473 s: category_theory.cartesian_closed_functor.rec_on 0.000428 s: stream.head_even 0.000665 s: pfun.core_def 0.003527 s: pfun.core_restrict 0.004915 s: Top.subpresheaf_to_Types.subtype.equations._eqn_1 0.026821 s: quaternion.commute_self_conj 0.000679 s: nat.primes.coe_pnat_nat 0.004367 s: nat.primes.coe_pnat_inj 0.002381 s: measure_theory.simple_func.order_top.equations._eqn_1 0.001760 s: set.preimage_const_mul_Icc 0.000396 s: tactic_doc._2056116952 0.027101 s: tensor_product.lift_comp_map 0.000406 s: filter.tendsto_Ixx_class.cases_on 0.009403 s: fin.add_comm_group._match_3.equations._eqn_1 0.000245 s: alist.rec_on 0.002095 s: topological_semiring_of_smooth 0.000960 s: asymptotics.is_O_with.neg_left 0.000262 s: algebraic_geometry.SheafedSpace.has_sizeof_inst 0.000921 s: algebraic_geometry.LocallyRingedSpace.sizeof 0.000032 s: algebraic_geometry.LocallyRingedSpace.has_sizeof_inst 0.002880 s: algebraic_geometry.Scheme.sizeof 0.003439 s: algebraic_geometry.Scheme.mk.sizeof_spec 0.000844 s: vector.drop._sunfold 0.004651 s: linear_map.quot_ker_equiv_range.equations._eqn_1 0.046865 s: pell.eq_pow_of_pell 0.009899 s: set.fintype_seq.equations._eqn_1 0.003898 s: charted_space_core.local_homeomorph._proof_1 0.003144 s: charted_space_core.local_homeomorph 0.001700 s: charted_space_core.to_charted_space._proof_2 0.001336 s: charted_space_core.to_charted_space 0.002291 s: int.preimage_Icc 0.001513 s: set.Icc_ℤ_finite 0.029297 s: int.proper_space 0.028174 s: int.proper_space.equations._eqn_1 0.008930 s: tactic_doc._3172013753 0.018342 s: subsemiring.to_ordered_comm_semiring.equations._eqn_1 0.000371 s: matrix.mul_apply' 0.000460 s: turing.TM0.cfg.map._sunfold 0.000121 s: znum.add._sunfold 0.000048 s: omega.int.dnf_core.equations._eqn_3 0.000593 s: fin_enum.pi.fin_enum 0.004347 s: div_mul_left 0.001837 s: div_mul_right 0.001017 s: measure_theory.simple_func.coe_le 0.000139 s: relator.rel_imp 0.001507 s: option.iget_mem 0.001429 s: category_theory.structured_arrow.mk_left 0.000644 s: category_theory.with_initial.id._main.equations._eqn_2 0.000085 s: ordnode.glue.equations._eqn_1 0.000043 s: int.to_nat._sunfold 0.000378 s: array.read_foreach 0.000164 s: ordnode.mem.equations._eqn_1 0.001235 s: Well_order.mk.inj_eq 0.002514 s: topological_space.opens.inclusion_to_fun 0.000704 s: category_theory.limits.split_mono_coprod_inl 0.000649 s: category_theory.limits.split_mono_coprod_inl.equations._eqn_1 0.001842 s: turing.TM2to1.tr_normal._main.equations._eqn_1 0.000622 s: turing.TM2to1.tr_normal.equations._eqn_1 0.000147 s: is_symm.drec 0.000126 s: free_monoid.of.equations._eqn_1 0.000072 s: connected_space.to_nonempty 0.000779 s: is_connected_range 0.001471 s: path_component_subset_component 0.000860 s: path_connected_space.connected_space 0.000077 s: has_one.mk.inj_arrow 0.000513 s: category_theory.sigma.incl_obj 0.068008 s: affine.simplex.circumcenter.equations._eqn_1 0.000234 s: stream.corec_id_f_eq_iterate 0.013677 s: flow.to_homeomorph.equations._eqn_1 0.000076 s: associates.has_bot 0.000169 s: associates.has_bot.equations._eqn_1 0.000107 s: smt_config.em_attr._default.equations._eqn_1 0.153595 s: Module.Mon_Module_equivalence_Algebra._proof_4 0.019146 s: ideal.le_comap_mul 0.001560 s: associates.order_top.equations._eqn_1 0.000126 s: real.is_conjugate_exponent.rec_on 0.003952 s: filter.eventually_eq.div' 0.000282 s: fintype.compact_space.equations._eqn_1 0.000873 s: monoid_hom.eq_mlocus.equations._eqn_1 0.007359 s: add_monoid_hom.gclosure_preimage_le 0.123202 s: fderiv_within_inv 0.099338 s: real.has_strict_deriv_at_cos 0.274624 s: has_strict_fderiv_at.cos 0.000493 s: dmatrix.transpose._main.equations._eqn_1 0.000439 s: dmatrix.transpose.equations._eqn_1 0.037150 s: nat.shiftl'_sub 0.000080 s: nat.shiftl_sub 0.009999 s: int.shiftl_add 0.000189 s: matrix.subsingleton 0.000303 s: matrix.subsingleton.equations._eqn_1 0.000235 s: category_theory.nat_trans.inhabited 0.000412 s: algebraic_geometry.SheafedSpace.cases_on 0.000307 s: algebraic_geometry.SheafedSpace.no_confusion_type 0.000632 s: pos_num.land._main.equations._eqn_9 0.000053 s: pos_num.land.equations._eqn_9 0.003543 s: slim_check.injective_function.map_to_self.sizeof_spec 0.004731 s: one_le_div_of_neg 0.156869 s: one_le_div_iff 0.000257 s: zero_hom.has_coe_to_fun.equations._eqn_1 0.000488 s: is_simple_lattice.is_atomic 0.000107 s: is_simple_lattice.is_coatomic 0.000135 s: is_simple_lattice.is_coatomic.equations._eqn_1 0.000022 s: auto.case_option.accept.inj 0.000032 s: auto.case_option.accept.inj_eq 0.000111 s: applicative_transformation.inhabited 0.000321 s: applicative_transformation.inhabited.equations._eqn_1 0.002036 s: pnat.div_add_mod' 0.000109 s: totally_separated_space.rec_on 0.013595 s: category_theory.limits.has_cokernels.drec 0.002309 s: triv_sq_zero_ext.module._proof_2 0.000112 s: regular_expression.epsilon.sizeof_spec 0.008001 s: category_theory.limits.is_colimit.comp_cocone_points_iso_of_nat_iso_hom_assoc 0.000960 s: localization_map.is_integer.equations._eqn_1 0.000376 s: parser.err_static.one_of.equations._eqn_1 0.000246 s: finset.decidable_disjoint._proof_1 0.000122 s: int.add_pos 0.000046 s: int.bit0_pos 0.014467 s: valuation.map_units_inv 0.000744 s: monad_state_adapter.mk.sizeof_spec 0.006053 s: deriv_within.neg 0.000162 s: int.decidable_dvd.equations._eqn_1 0.005866 s: measurable_equiv.set.prod.equations._eqn_1 0.001051 s: omega_complete_partial_order.continuous_hom.ite_continuous' 0.001994 s: category_theory.functor_to_types.map_hom_map_inv_apply 0.000175 s: hahn_series.with_zero.linear_ordered_comm_group_with_zero._proof_14 0.000150 s: category_theory.kleisli.inhabited 0.000106 s: list.mmap_with_index' 0.000099 s: dlist.apply 0.000170 s: dlist.invariant 0.000228 s: primcodable.list.equations._eqn_1 0.014306 s: polynomial.mem_support_derivative 0.022458 s: polynomial.degree_derivative_eq 0.156938 s: irreducible.separable 0.097486 s: polynomial.irreducible_has_separable_contraction 0.012866 s: valuation.integers.drec_on 0.000150 s: mvpfunctor.W.equations._eqn_1 0.000139 s: AddMagma.equations._eqn_1 0.006277 s: category_theory.limits.is_limit_of_is_limit_pullback_cone_map.equations._eqn_1 0.000544 s: adjoin_zero_obj 0.002655 s: subgroup.comap_injective 0.020262 s: subgroup.comap_top 0.003372 s: is_simple_group.is_simple_group_of_surjective 0.011467 s: localization.has_neg.equations._eqn_1 0.001257 s: category_theory.limits.image_subobject_iso.equations._eqn_1 0.002782 s: add_monoid_hom.coe_fn.equations._eqn_1 0.000976 s: category_theory.quotient.comp_closure.rec_on 0.000158 s: regular_expression.zero.sizeof_spec 0.000114 s: Preorder.inhabited 0.000097 s: topological_space.first_countable_topology.rec_on 0.000102 s: nat.min_fac._sunfold 0.003245 s: times_cont_diff.times_cont_diff_fderiv_apply 0.001138 s: nhds_left_sup_nhds_right' 0.003722 s: nhds_translation_mul_inv 0.011008 s: nhds_mul 0.000348 s: nhds_is_mul_hom 0.003503 s: add_monoid_algebra.lift_of 0.002041 s: monoid_hom.cod_restrict 0.077614 s: add_monoid_algebra.lift.equations._eqn_1 0.000082 s: onote.omega.equations._eqn_1 0.009627 s: category_theory.center.forget_to_lax_monoidal_functor_to_functor_map 0.142409 s: inner_product_space.to_dual'_isometry 0.104183 s: inner_product_space.isometric.to_dual 0.015317 s: nat.range_rec 0.022142 s: submodule.quotient_equiv_of_is_compl.equations._eqn_1 0.012979 s: module.complex_to_real.equations._eqn_1 0.000224 s: sigma_compact_space.cases_on 0.000488 s: io.finally._match_1.equations._eqn_2 0.000914 s: monoid.mfoldl.mk 0.000472 s: prod.has_Sup.equations._eqn_1 0.005755 s: category_theory.monoidal_category.no_confusion 0.008813 s: category_theory.monoidal_category.mk.inj 0.000591 s: category_theory.with_initial.id.equations._eqn_2 0.005194 s: ordinal.enum._match_2.equations._eqn_1 0.020137 s: linear_ordered_field.rec_on 0.040527 s: ordered_ring.mul_le_mul_of_nonneg_right 0.005716 s: open_subgroup.mul_mem 0.001995 s: category_theory.lax_braided_functor.comp._proof_2 0.002163 s: category_theory.lax_braided_functor.comp._proof_3 0.001872 s: category_theory.lax_braided_functor.comp._proof_4 0.017829 s: category_theory.lax_braided_functor.comp._proof_5 0.013330 s: category_theory.lax_braided_functor.comp 0.003448 s: category_theory.limits.kernel_subobject_factors_iff 0.001437 s: alist.not_mem_empty 0.000738 s: opposite.semiconj_by_op 0.000645 s: opposite.semiconj_by_unop 0.000196 s: opposite.commute_unop 0.000344 s: tactic_doc._2239742365 0.001765 s: hash_map.find_empty 0.001653 s: category_theory.prod_comonad_coe 0.000269 s: category_theory.limits.has_images.sizeof 0.000252 s: quiver.zigzag_setoid.equations._eqn_1 0.000512 s: pgame.inv_ty.right₂.inj 0.015798 s: char_p.pi'.equations._eqn_1 0.000374 s: multiset.sum.equations._eqn_1 0.006412 s: add_submonoid.localization_map.mk'_add_cancel_left 0.013613 s: add_submonoid.localization_map.map_mk' 0.014845 s: add_submonoid.localization_map.add_equiv_of_add_equiv_mk' 0.000679 s: simple_continued_fraction.of.equations._eqn_1 0.008174 s: power_series.is_scalar_tower 0.009113 s: power_series.is_scalar_tower.equations._eqn_1 0.007147 s: mv_power_series.semiring.equations._eqn_1 0.012529 s: is_projective.lifting_property 0.000104 s: complex.tanh_of_real_re 0.003891 s: has_smooth_mul.cases_on 0.003497 s: cSup_intro 0.003174 s: cSup_Iio 0.093155 s: smooth_bump_function.nonempty_support 0.100740 s: smooth_bump_covering.fintype_ι_of_compact._proof_1 0.103925 s: smooth_bump_covering.fintype_ι_of_compact 0.119587 s: smooth_bump_covering.fintype_ι_of_compact.equations._eqn_1 0.000208 s: quandle.sizeof 0.000058 s: quandle.has_sizeof_inst 0.000196 s: alist.foldl 0.000209 s: alist.foldl.equations._eqn_1 0.016368 s: linear_equiv.coe_uncurry 0.002025 s: category_theory.well_powered.drec 0.000535 s: mvpfunctor.W_path.inhabited 0.000512 s: mvpfunctor.W_path.inhabited.equations._eqn_1 0.000976 s: is_free_group.of_mul_equiv 0.002539 s: is_free_group.of_mul_equiv.equations._eqn_1 0.000523 s: list.bag_inter._main.equations._eqn_1 0.000137 s: list.bag_inter.equations._eqn_1 0.000373 s: category_theory.Groupoid.of.equations._eqn_1 0.002666 s: category_theory.monad.algebra.hom.sizeof 0.000113 s: category_theory.monad.algebra.hom.has_sizeof_inst 0.000052 s: _private.2316404473.make_monospaced.equations._eqn_3 0.030653 s: ring.fractional_ideal.comm_semiring.equations._eqn_1 0.006401 s: fintype.choose_spec 0.000350 s: fintype.right_inverse_bij_inv 0.000302 s: fintype.left_inverse_bij_inv 0.000339 s: fintype.bijective_bij_inv 0.000124 s: filter.ne_bot.rec_on 0.000188 s: vsub_right_injective 0.003834 s: category_theory.functor.map_Mat__obj_F 0.000338 s: list.remove_nth._main.equations._eqn_1 0.002380 s: category_theory.monad_iso.to_nat_iso_hom 0.000628 s: slim_check.subtype_var_testable._proof_1 0.082553 s: is_compact.measure_lt_top_of_nhds_within 0.000523 s: is_compact.measure_lt_top 0.017706 s: order_topology.to_order_closed_topology._match_1.equations._eqn_1 0.028595 s: Module.monoidal_category.tensor_hom.equations._eqn_1 0.000130 s: open_add_subgroup.semilattice_sup_top._proof_1 0.000487 s: list.alternating_prod_singleton 0.000069 s: computability.Γ'.bra.sizeof_spec 0.005447 s: linear_isometry.dist_map 0.000435 s: subgroup.to_add_subgroup' 0.000107 s: real.has_sub.equations._eqn_1 0.007085 s: parser.mono.mmap._main.equations._eqn_2 0.001583 s: lie_subalgebra.top_coe 0.000255 s: equiv.arrow_congr'.equations._eqn_1 0.002611 s: linear_equiv.mk.sizeof_spec 0.000241 s: computation.results_thinkN_ret 0.000213 s: con.submonoid._proof_1 0.000439 s: con.submonoid._proof_2 0.002242 s: con.submonoid 0.000220 s: con.to_submonoid 0.004337 s: ring_quot.mk_alg_hom_coe 0.000246 s: partition.distincts 0.000080 s: partition.odd_distincts 0.000085 s: partition.odd_distincts.equations._eqn_1 0.000326 s: nzsnum.not._main.equations._eqn_2 0.000043 s: nzsnum.not.equations._eqn_2 0.002210 s: associates.dvd_of_mem_factors' 0.021256 s: associates.exists_prime_dvd_of_not_inf_one 0.001234 s: quaternion.coe_add 0.000216 s: set.mul_indicator_le_one 0.000072 s: order.ideal.prime_pair.has_sizeof_inst 0.004700 s: exists_vector_succ 0.001511 s: vector_ex_iff_exists 0.083100 s: times_cont_diff.arctan 0.016524 s: category_theory.under.id_right 0.002759 s: primrec.option_iget 0.000136 s: is_per.to_is_symm 0.006288 s: cardinal.bit0_ne_zero 0.005993 s: list.map_diff 0.004253 s: multiset.map_union 0.000472 s: parser.decorate_error_eq_fail 0.000322 s: borel_space.opens_measurable.equations._eqn_1 0.001150 s: pos_num.test_bit._main.equations._eqn_6 0.000128 s: algebra.comap.semiring.equations._eqn_1 0.000069 s: tactic.ring_exp.ex_type.exp.sizeof_spec 1.078631 s: quaternion.norm_sq_inv 0.000125 s: tactic.simp_config.memoize 0.000144 s: proper_space.cases_on 0.001351 s: multiset.coe_ndinsert 0.000639 s: AddCommGroup.forget₂_AddCommMon_preserves_limits 0.000393 s: AddCommGroup.forget₂_AddCommMon_preserves_limits.equations._eqn_1 0.000215 s: opposite.comm_group._proof_3 0.003015 s: opposite.comm_group._proof_6 0.011829 s: opposite.comm_group 0.009347 s: opposite.comm_group.equations._eqn_1 0.006742 s: linear_map.map_comp_rtensor 0.001878 s: is_preconnected_iff_preconnected_space 0.000869 s: group.gpowers_eq_closure 0.000134 s: int.even.mul_left 0.000521 s: star_ring.rec_on 0.000382 s: opposite.op_neg 0.000990 s: add_subgroup.of_sub.equations._eqn_1 0.001251 s: polynomial.chebyshev.one_sub_X_pow_two_mul_U_eq_pol_in_T 0.115763 s: polynomial.chebyshev.one_sub_X_pow_two_mul_derivative_T_eq_poly_in_T 0.024193 s: interval_integral.measure_integral_sub_linear_is_o_of_tendsto_ae_of_ge' 0.000135 s: snum.tail._main.equations._eqn_2 0.000068 s: snum.tail.equations._eqn_2 0.001464 s: tactic_doc._398589791 0.001592 s: set.image_add_const_interval 0.001151 s: set.image_sub_const_interval 0.184454 s: lagrange.fun_equiv_degree_lt._match_1.equations._eqn_1 0.030038 s: normed_group_hom.isometry_comp 0.004345 s: order_top.no_confusion_type 0.003988 s: order_top.no_confusion 0.002885 s: function.injective.left_cancel_monoid._proof_2 0.003946 s: normed_group_hom.to_add_monoid_hom.equations._eqn_1 0.003338 s: lie_subalgebra.coe_to_submodule_mk 0.003416 s: filter.germ.group.equations._eqn_1 0.009258 s: linear_map.lsum.equations._eqn_1 0.006224 s: linear_equiv.pi_symm_apply 0.061922 s: linear_equiv.pi_ring_symm_apply 0.024266 s: free_group.group.equations._eqn_1 0.003318 s: category_theory.quotient.comp.equations._eqn_1 0.000081 s: monad.sequence 0.000637 s: monad.sequence._main.equations._eqn_1 0.000106 s: monad.sequence.equations._eqn_1 0.000075 s: add_succ_defeq_succ_add_hint 0.002645 s: prod.norm_one_class 0.052003 s: function.injective.ordered_comm_group.equations._eqn_1 0.010743 s: turing.TM1.stmts₁._sunfold 0.000170 s: category_theory.thin_skeleton.is_skeleton_of_inhabited._proof_2 0.000677 s: category_theory.thin_skeleton.is_skeleton_of_inhabited 0.000910 s: to_topological_space_subtype 0.000323 s: tc.cases_on 0.044614 s: times_cont_diff_on.cexp 0.005696 s: parser.alternative.equations._eqn_1 0.002211 s: algebraic_closure.equations._eqn_1 0.000217 s: free_group.of.equations._eqn_1 0.229029 s: finite_dimensional.proper_real.equations._eqn_1 0.000755 s: ordnode.alter._match_1.equations._eqn_1 0.000042 s: bin_tree.to_list 0.000077 s: list.bin_tree_to_list 0.089273 s: measure_theory.snorm_const' 0.008171 s: ulift.ext_iff 0.012582 s: continuous_map.to_ae_eq_fun_mul_hom.equations._eqn_1 0.003241 s: equiv.perm.swap_factors_aux._main._proof_1 0.003270 s: equiv.perm.swap_factors_aux._main.equations._eqn_1 0.001621 s: equiv.perm.swap_factors_aux.equations._eqn_1 0.000087 s: rat.has_lt.equations._eqn_1 0.002073 s: asymptotics.is_O.of_const_mul_right 0.001852 s: roption.eq_none_or_eq_some 0.024912 s: category_theory.limits.has_image_maps_of_has_strong_epi_images._proof_1 0.000273 s: category_theory.limits.has_image_maps_of_has_strong_epi_images 0.007368 s: AddGroup.zero_apply 0.010126 s: nonpos_of_mul_nonpos_left 0.008809 s: with_top.coe_min 0.000801 s: nat.coprime_one_right_iff 0.098496 s: category_theory.monoidal.CommMon_functor_category_equivalence.functor_obj_map 0.001616 s: set.Ici.coe_top 0.000418 s: partition.sizeof 0.000309 s: simplex_category.skeletal_equivalence 0.000113 s: simplex_category.skeletal_equivalence.equations._eqn_1 0.000152 s: turing.to_partrec.cfg.halt.inj_eq 0.013852 s: semi_normed_group.core.drec_on 0.016811 s: finset.prod_involution 0.007837 s: units.inv_eq_self_iff 0.000271 s: inv_eq_iff_inv_eq 0.104895 s: finite_field.prod_univ_units_id_eq_neg_one 0.128101 s: zmod.wilsons_lemma 0.041243 s: zmod.prod_Ico_one_prime 0.005110 s: finset.sum_ite_of_true 0.001395 s: finsupp.erase_single_ne 0.000360 s: simple_continued_fraction.is_continued_fraction.equations._eqn_1 0.005672 s: Module.colimits.desc_fun_lift._sunfold 0.000485 s: num.min_fac._main.equations._eqn_1 0.000978 s: conj_classes.mk_equiv 0.000662 s: conj_classes.mk_equiv.equations._eqn_1 0.000162 s: nontrivial_prod_right 0.000200 s: nontrivial_prod_right.equations._eqn_1 0.015838 s: direct_sum.ghas_one.of_add_subgroups_one 0.003639 s: model_with_corners_prod_coe_symm 0.031722 s: category_theory.mono_over.congr_counit_iso 0.000363 s: category_theory.limits.has_binary_biproduct.dcases_on 0.001609 s: adjoin_root.of.equations._eqn_1 0.021561 s: exists_lt_mul_self 0.000704 s: is_local_min_on.congr 0.001087 s: category_theory.monad_iso.to_nat_iso.equations._eqn_1 0.000086 s: format.color.no_confusion_type 0.000590 s: is_add_hom.drec_on 0.001041 s: set.Iio_subset_Iio 0.001148 s: slim_check.gen.permutation_of._main.equations._eqn_1 0.000241 s: slim_check.gen.permutation_of.equations._eqn_1 0.000446 s: wseq.lift_rel.equiv 0.002344 s: category_theory.ulift_functor_faithful.equations._eqn_1 0.000148 s: vector3.equations._eqn_1 0.002992 s: list.length_tail 0.000790 s: parser.unfailing.map 0.001259 s: perms_of_finset.equations._eqn_1 0.001519 s: measure_theory.simple_func.coe_mul 0.001188 s: category_theory.with_initial.id._main.equations._eqn_1 0.000375 s: category_theory.with_initial.id.equations._eqn_1 0.000299 s: turing.TM1to1.read_aux.equations._eqn_1 0.000655 s: free_ring.subsingleton_equiv_free_comm_ring.equations._eqn_1 0.000097 s: pSet.has_singleton 0.000829 s: pSet.is_lawful_singleton 0.001576 s: open_add_subgroup.semilattice_sup_top._proof_3 0.002740 s: derivation.to_fun_eq_coe 0.004936 s: category_theory.limits.diagram_iso_pair_hom_app 0.001300 s: list.continuous_insert_nth 0.000874 s: monoid.mfoldr.of_free_monoid.equations._eqn_1 0.000574 s: AddCommMon.forget₂_AddMon_preserves_limits.equations._eqn_1 0.000099 s: turing.to_partrec.code.case.inj_arrow 0.000503 s: int.mul_le_mul 0.001607 s: order_embedding.subtype.equations._eqn_1 0.000095 s: turing.to_partrec.cfg.sizeof 0.000061 s: turing.to_partrec.cfg.halt.sizeof_spec 0.031385 s: is_primitive_root.zmod_equiv_gpowers_symm_apply_gpow' 0.000329 s: linear_ordered_ring.npow._default.equations._eqn_1 0.005312 s: quotient.hrec_on₂.equations._eqn_1 0.000557 s: monad_io_random.no_confusion 0.000908 s: floor_ring.no_confusion_type 0.000922 s: floor_ring.no_confusion 0.001157 s: floor_ring.mk.inj 0.000849 s: floor_ring.mk.inj_arrow 0.000076 s: buffer.pop_back 0.000691 s: buffer.pop_back._main.equations._eqn_2 0.000182 s: buffer.pop_back.equations._eqn_2 0.001844 s: additive.add_right_cancel_semigroup.equations._eqn_1 0.582290 s: convex.lipschitz_on_with_of_norm_has_deriv_within_le 0.001121 s: subfield.mem_carrier 0.029327 s: gsmul_lt_gsmul_iff 0.000232 s: poly.has_add.equations._eqn_1 0.000180 s: ordnode.has_to_string 0.000223 s: ordnode.has_to_string.equations._eqn_1 0.002887 s: subtype.t0_space 0.003695 s: subtype.t0_space.equations._eqn_1 0.001970 s: category_theory.quotient.functor_map 0.000509 s: filter.germ.ordered_cancel_comm_monoid._proof_5 0.003569 s: list.nth_le_fin_range 0.001524 s: semidirect_product.right_hom_eq_right 0.005386 s: semidirect_product.range_inl_eq_ker_right_hom 0.001338 s: slim_check.total_function.pi.sampleable_ext 0.001123 s: slim_check.total_function.pi.sampleable_ext.equations._eqn_1 0.005662 s: continuous_linear_map.smul_right.equations._eqn_1 0.001990 s: cardinal.mk_sUnion_le 0.001225 s: irrational.add_rat 0.000079 s: irrational_add_rat_iff 0.001434 s: category_theory.limits.coprod.map_iso_inv 0.004032 s: slim_check.rec_shrink._main.equations._eqn_1 0.003587 s: nat.proper_divisors_one 0.000610 s: subgroup.rec_on 0.000218 s: bounded_random_bitvec.equations._eqn_1 0.000339 s: state_t.monad_cont.equations._eqn_1 0.002919 s: category_theory.limits.types.pi_map_π_apply 0.001182 s: fin.succ_rec._main.equations._eqn_3 0.002181 s: linear_equiv.mk.inj_arrow 0.000494 s: tactic_doc._178359996 0.001076 s: polynomial.gal.restrict_comp.equations._eqn_1 0.038765 s: polynomial.gal.restrict_comp_surjective 0.018759 s: quadratic_form.associated_hom.equations._eqn_1 0.024752 s: smooth_map_semimodule._proof_1 0.059569 s: smooth_map_semimodule._proof_3 0.022641 s: 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s: pgame.numeric.equations._eqn_1 0.013584 s: algebra.of_semimodule'.equations._eqn_1 0.010678 s: category_theory.limits.cocone_left_op_of_cone_ι_app 0.029089 s: category_theory.limits.has_limit_of_has_colimit_left_op 0.000389 s: category_theory.limits.has_limits_of_shape_op_of_has_colimits_of_shape 0.000225 s: category_theory.limits.has_limits_op_of_has_colimits 0.010489 s: dfinsupp.prod_inv 0.002080 s: rat.cast_bit1 0.010006 s: ADE_inequality.admissible_of_one_lt_sum_inv_aux 0.008852 s: ADE_inequality.admissible_of_one_lt_sum_inv 0.001045 s: vector.continuous_remove_nth 0.000200 s: wseq.nth_terminates.equations._eqn_1 0.001259 s: affine_subspace.no_confusion_type 0.001694 s: affine_subspace.no_confusion 0.000147 s: locally_finite.realizer.has_sizeof_inst 0.001199 s: Group.limit_cone.equations._eqn_1 0.000966 s: mvqpf.is_precongr.equations._eqn_1 0.001508 s: add_subgroup.set_normalizer._proof_1 0.001966 s: add_subgroup.set_normalizer._proof_2 0.001783 s: add_subgroup.set_normalizer._proof_3 0.000942 s: add_subgroup.set_normalizer 0.000509 s: add_subgroup.set_normalizer.equations._eqn_1 0.000305 s: slim_check.or_counter_example._main.equations._eqn_5 0.022216 s: tensor_product.lift.equiv.equations._eqn_1 0.003625 s: sum.lex.cases_on 0.000986 s: monotone.le_map_Sup 0.000193 s: category_theory.subobject.equations._eqn_1 0.000257 s: is_least.is_least_iff_eq 0.001774 s: category_theory.comp_comparison_has_limit 0.000217 s: omega.nat.neg_elim_core._main.equations._eqn_1 0.000045 s: omega.nat.neg_elim_core.equations._eqn_1 0.002898 s: perfection.lift_apply_apply_coe 0.000446 s: one_lt_mul_of_le_of_lt' 0.001055 s: tendsto_locally_uniformly_on.equations._eqn_1 0.001060 s: add_hom.mk_coe 0.000469 s: ulift.semimodule._proof_2 0.017793 s: ulift.semimodule._proof_3 0.016926 s: ulift.semimodule._proof_4 0.009313 s: ulift.semimodule 0.008509 s: ulift.semimodule.equations._eqn_1 0.000254 s: category_theory.limits.as_empty_cone_X 0.000074 s: pSet.embed.equations._eqn_1 0.000311 s: perfect_closure.inhabited 0.000558 s: perfect_closure.inhabited.equations._eqn_1 0.003426 s: language.add_supr 0.001007 s: multiset.erase_cons_tail 0.003794 s: emetric.mem_ball' 0.000054 s: string.iterator.nextn.equations._eqn_1 0.002840 s: lie_equiv.coe_to_linear_equiv 0.000035 s: Fintype.skeleton.inhabited 0.000157 s: topological_space.open_nhds_of.inhabited._proof_1 0.000136 s: topological_space.open_nhds_of.inhabited 0.000484 s: star_monoid.mk.inj_arrow 0.001008 s: free_add_monoid.lift_symm_apply 0.000254 s: mv_power_series.add_comm_monoid.equations._eqn_1 0.000597 s: list.map₂_right'_nil_right 0.001322 s: mul_equiv_iso_CommMon_iso 0.002561 s: category_theory.monoidal_nat_trans.id.equations._eqn_1 0.017899 s: category_theory.limits.is_limit_map_cone_fork_equiv.equations._eqn_1 0.003462 s: subsemiring.has_Inf.equations._eqn_1 0.000068 s: rel.codom 0.000136 s: rel.codom.equations._eqn_1 0.002178 s: rel.image_univ 0.003011 s: nat.primrec'.dcases_on 0.000169 s: fin_enum.quotient.enum._proof_1 0.000421 s: fin_enum.quotient.enum 0.000220 s: has_fix.mk.sizeof_spec 0.004366 s: exterior_algebra.ι_multi_apply 0.000571 s: polynomial.differentiable_within_at 0.003480 s: free_ring.lift_comp_of 0.000357 s: fin2.add._main.equations._eqn_1 0.000175 s: fin2.add.equations._eqn_1 0.006263 s: filter.map_prod_map_const_id_principal_coprod_principal 0.000044 s: format.color.red.inj 0.000023 s: format.color.red.inj_arrow 0.001210 s: free_semigroup.traverse_pure 0.009107 s: free_semigroup.is_lawful_traversable._proof_3 0.004071 s: category_theory.equiv_punit._proof_2 0.003575 s: category_theory.equiv_punit 0.000051 s: sub_neg_monoid.has_sizeof_inst 0.000764 s: add_localization.away.neg_self.equations._eqn_1 0.001378 s: psigma.rev_lex.dcases_on 0.000296 s: list.permutations_aux2._sunfold 0.000393 s: zsqrtd.integral_domain._proof_8 0.001196 s: list.rel_prod 0.000342 s: category_theory.equivalence.pow._main.equations._eqn_2 0.004156 s: add_equiv_iso_AddCommGroup_iso._proof_1 0.000858 s: add_equiv_iso_AddCommGroup_iso 0.002142 s: category_theory.triangulated.pretriangulated.triangulated_functor_struct.mk.sizeof_spec 0.002207 s: turing.TM2.step_aux._main.equations._eqn_4 0.018152 s: set.nonempty_Ico_sdiff 0.002556 s: submodule.is_principal.drec_on 0.003624 s: alist.insert_entries_of_neg 0.004312 s: finmap.insert_entries_of_neg 0.002454 s: order_iso.symm_apply_eq 0.149859 s: real.is_R_or_C.equations._eqn_1 0.000116 s: decidable.peirce 0.000044 s: peirce 0.000078 s: tactic.interactive.mono_selection.right.sizeof_spec 0.131353 s: Module.Mon_Module_equivalence_Algebra.functor.equations._eqn_1 0.016650 s: category_theory.preserves_colimit_iso.equations._eqn_1 0.004797 s: category_theory.limits.is_image.e_iso_ext_inv 0.000048 s: widget.mouse_event_kind.has_sizeof_inst 0.000641 s: category_theory.limits.cocone_of_diagram_terminal_X 0.001877 s: monoid_with_zero_hom.to_zero_hom_injective 0.011072 s: subalgebra_equiv_intermediate_field.equations._eqn_1 0.022339 s: quaternion.conj_eq_two_re_sub 0.000449 s: equiv.finset_congr_apply 0.006219 s: equiv.finset_congr_trans 0.001491 s: subsemiring.mk.inj 0.000917 s: subsemiring.mk.inj_arrow 0.001070 s: Set.insert._match_3.equations._eqn_2 0.001713 s: topological_fiber_bundle_core.local_triv_at_fst 0.004715 s: pilex.partial_order.equations._eqn_1 0.000438 s: ordnode.is_subset_aux._main.equations._eqn_1 0.001724 s: mvpfunctor.Wp_rec._main.equations._eqn_1 0.000870 s: mvpfunctor.Wp_rec.equations._eqn_1 0.000037 s: rbnode.leaf.inj 0.000039 s: rbnode.leaf.inj_arrow 0.004183 s: diffeomorph.times_cont_mdiff_diffeomorph_comp_iff 0.000065 s: pos_num.lor.equations._eqn_2 0.002087 s: set.mul_indicator_finset_prod 0.020621 s: lie_algebra.is_solvable_add.equations._eqn_1 0.003518 s: category_theory.limits.cocones.precompose_obj_X 0.000157 s: empty.discrete_topology 0.000315 s: empty.borel_space 0.000090 s: empty.borel_space.equations._eqn_1 0.004339 s: is_smul_regular.of_smul_eq_one 0.000235 s: finset.has_subset.equations._eqn_1 0.007394 s: lie_submodule.hom_of_le._proof_1 0.146595 s: lie_submodule.hom_of_le 0.090365 s: lie_submodule.hom_of_le_apply 0.085389 s: lie_submodule.hom_of_le_injective 0.010895 s: filter.germ.map_map 0.000216 s: infinite.nontrivial.equations._eqn_1 0.010625 s: category_theory.comonad_hom.rec_on 0.002251 s: metric.metric_space.to_separated.equations._eqn_1 0.000999 s: filter.subsingleton.at_bot_eq 0.000795 s: simple_graph.compl_adj_decidable.equations._eqn_1 0.000098 s: monad_except.orelse 0.000152 s: nat.mul_mod_left 0.001927 s: circle_deg1_lift.strict_mono_iff_injective 0.001665 s: equiv.of_bijective_apply_symm_apply 0.001679 s: equiv.of_bijective_symm_apply_apply 0.006332 s: circle_deg1_lift.is_unit_iff_bijective 0.001216 s: lipschitz_with.edist_lt_top 0.032306 s: linear_pmap.snd.equations._eqn_1 0.000469 s: measure_theory.measure_finite 0.000421 s: measure_theory.measure_finset 0.014628 s: adjunction.unop_adjoint_unop_of_adjoint 0.000476 s: order_topology.drec 0.008077 s: _private.617357615.f._sunfold 0.000744 s: filter.generate_sets.cases_on 0.001616 s: category_theory.differential_object.hom.no_confusion_type 0.001205 s: category_theory.differential_object.hom.no_confusion 0.001538 s: category_theory.differential_object.hom.mk.inj 0.002760 s: category_theory.differential_object.hom.mk.inj_eq 0.004436 s: enat.to_with_top_lt 0.007039 s: enat.lt_wf 0.001453 s: list.map₂_right'_nil_left 0.004716 s: category_theory.monad.monadicity_internal.counit_cofork_X 0.002033 s: CommMon_.forget₂_Mon_obj_one 0.000206 s: turing.TM1.stmt.halt.inj_arrow 0.249517 s: differentiable_at.sinh 0.101765 s: differentiable.sinh 0.000147 s: free_add_magma.has_repr.equations._eqn_1 0.001378 s: quotient_group.coe_one 0.011886 s: has_fpower_series_at.continuous_at 0.000176 s: generalized_continued_fraction.terminated_at_iff_s_terminated_at 0.003661 s: category_theory.category_of_elements.structured_arrow_equivalence_inverse_obj_fst 0.000172 s: mvfunctor.no_confusion_type 0.000367 s: mvfunctor.no_confusion 0.000322 s: mvfunctor.mk.inj 0.000133 s: ring_hom.inhabited 0.000107 s: ring_hom.inhabited.equations._eqn_1 0.072477 s: is_R_or_C.conj_clm_coe 0.000192 s: buffer.has_mem 0.000084 s: tactic.transparency.none.sizeof_spec 0.021614 s: ring.fractional_ideal.canonical_equiv._proof_2 0.001020 s: function.embedding.cod_restrict.equations._eqn_1 0.004735 s: linear_map.mk₂.equations._eqn_1 0.000108 s: is_dec_eq.equations._eqn_1 0.000588 s: set.lt_eq_ssubset 0.000212 s: wseq.has_mem.equations._eqn_1 0.003247 s: category_theory.nat_trans.unop.equations._eqn_1 0.000384 s: is_open_range_sigma_mk 0.004010 s: sigma.t2_space 0.004474 s: sigma.t2_space.equations._eqn_1 0.001267 s: contracting_with.efixed_point.equations._eqn_1 0.000137 s: topological_space.closeds.equations._eqn_1 0.000868 s: list.to_finset_surjective 0.002807 s: cardinal.mk_finset_eq_mk 0.002121 s: list.is_suffix.trans 0.000527 s: pSet.of_nat._main.equations._eqn_1 0.130722 s: padic_seq.norm_one 0.082482 s: padic_norm_e.one' 0.027504 s: linear_independent_le_dim 0.005422 s: finite_dimensional.lt_omega_of_linear_independent 0.000580 s: finset.powerset_len_empty 0.000931 s: measure_theory.ae_eq_fun.has_div.equations._eqn_1 0.002425 s: category_theory.limits.diagram_iso_span_inv_app 0.000721 s: monad_fail.mk.sizeof_spec 0.001412 s: cancel_monoid.sizeof 0.000343 s: category_theory.is_skeleton_of.no_confusion_type 0.000553 s: category_theory.is_skeleton_of.no_confusion 0.000412 s: category_theory.is_skeleton_of.mk.inj 0.000319 s: category_theory.is_skeleton_of.mk.inj_arrow 0.000688 s: is_extr_on_dual_iff 0.000128 s: is_extr_on.undual 0.001891 s: parser.mono.mmap'._sunfold 0.000088 s: list.foldr._sunfold 0.031662 s: algebraic_geometry.Scheme.Γ_map 0.000365 s: rbnode.color.decidable_eq.equations._eqn_1 0.009357 s: alg_hom.finite_presentation.comp_surjective 0.000366 s: category_theory.limits.terminal.mono_from.equations._eqn_1 0.000447 s: slim_check.iff.printable_prop.equations._eqn_1 0.000518 s: linear_map.has_mul.equations._eqn_1 0.006121 s: category_theory.mono_over.map_top.equations._eqn_1 0.000153 s: free_add_magma.is_lawful_traversable._proof_1 0.000228 s: set.right_inv_on.maps_to 0.002292 s: linear_map.uniform_continuous_of_bound 0.011489 s: ideal.is_local_of_is_maximal_radical 0.000302 s: set.left_inv_on.congr_right 0.000720 s: order_dual.partial_order.equations._eqn_1 0.002071 s: tactic_doc._3512100474 0.001053 s: multiset.rec_on.equations._eqn_1 0.000205 s: computation.bisim_o.equations._eqn_2 0.000659 s: pfunctor.M.isubtree._main.equations._eqn_1 0.005293 s: category_theory.coyoneda.colimit_cocone_is_colimit.equations._eqn_1 0.000612 s: multiset.disjoint_of_subset_right 0.000162 s: multiset.disjoint_of_le_right 0.045557 s: category_theory.mono_over.slice._proof_9 0.018854 s: category_theory.biprod.of_components_fst 0.000870 s: normed_group_hom.isometry_id 0.000847 s: int.lcm_assoc 0.001944 s: algebraic_geometry.PresheafedSpace.hom.mk.inj_arrow 0.001249 s: is_lawful_traversable.sizeof 0.000048 s: is_lawful_traversable.has_sizeof_inst 0.000772 s: list.sum_map_hom 0.003005 s: list.sum_map_mul_right 0.001059 s: pgame.domineering.state.equations._eqn_1 0.004922 s: category_theory.lax_braided_functor.mk.inj_eq 0.001579 s: category_theory.monadic_right_adjoint.mk.sizeof_spec 0.020348 s: category_theory.is_preconnected_of_equivalent 0.000407 s: category_theory.is_connected_of_equivalent 0.003185 s: CommRing.colimits.prequotient.binduction_on 0.000232 s: ideal.is_maximal.cases_on 0.005398 s: mv_polynomial.pderiv_eq_zero_of_not_mem_vars 0.001849 s: finmap.all._proof_1 0.000412 s: finmap.all 0.000427 s: finmap.all.equations._eqn_1 0.007638 s: derivation.smul_apply 0.004444 s: category_theory.comp_to_nat_trans 0.001971 s: mv_power_series.algebra.equations._eqn_1 0.001217 s: rel_hom.mk.sizeof_spec 0.002099 s: measure_theory.simple_func.restrict_mono 0.002669 s: finset.of_dual_max_eq_min_of_dual 0.000528 s: ulift.is_lawful_monad._match_3.equations._eqn_1 0.155234 s: field.to_integral_domain.equations._eqn_1 0.000174 s: psum.sizeof._sunfold 0.031384 s: alist.union_assoc 0.000178 s: quot.out.equations._eqn_1 0.005839 s: category_theory.over.map_id.equations._eqn_1 0.001683 s: category_theory.monoidal_functor.rec_on 0.001129 s: interval_integral.FTC_filter.dcases_on 0.001072 s: group.closure.is_subgroup.equations._eqn_1 0.000094 s: fp.float.sign.equations._eqn_1 0.009208 s: direct_sum.gmonoid.of_add_submonoids._match_2.equations._eqn_1 0.005816 s: gpowers_hom.equations._eqn_1 0.011708 s: matrix.to_linear_equiv.equations._eqn_1 0.000162 s: group_with_zero.npow._default 0.016170 s: padic_int.norm_lt_one_mul 0.009039 s: ideal.quotient_ker_alg_equiv_of_right_inverse_symm.apply 0.000146 s: slim_check.slim_check_cfg.rec_on 0.002261 s: smooth_map_ring._proof_9 0.000142 s: string.iterator.extract_core._match_1.equations._eqn_2 0.000282 s: lucas_lehmer.s_zmod._sunfold 0.029027 s: bilin_form.skew_adjoint_submodule.equations._eqn_1 0.007194 s: turing.partrec_to_TM2.Λ'.binduction_on 0.000909 s: shelf_hom.comp_apply 0.005929 s: is_lawful_monad.seq_assoc._default 0.005674 s: add_monoid_hom.is_scalar_tower.equations._eqn_1 0.003040 s: cancel_monoid.mk.inj 0.076677 s: types.mono_over_equivalence_set_unit_iso 0.000121 s: rat.topological_add_group.equations._eqn_1 0.226722 s: convex.norm_image_sub_le_of_norm_deriv_within_le 0.000862 s: category_theory.pairwise.diagram_map.equations._eqn_1 0.000319 s: polynomial.continuous_on 0.024460 s: monoid_hom.flip_hom_apply 0.000860 s: function.injective.add_left_cancel_semigroup.equations._eqn_1 0.002166 s: smooth_map.equations._eqn_1 0.000108 s: has_vadd.rec_on 0.002093 s: model_with_corners.boundaryless.range_eq_univ 0.006641 s: category_theory.monoidal_nat_trans.unit' 0.004097 s: measure_theory.simple_func.mk.inj_eq 0.006611 s: continuous_linear_map.coe_pi 0.000142 s: pgame.restricted.refl._main 0.000018 s: pgame.restricted.refl 0.085149 s: hahn_series.add_val._proof_4 0.000826 s: Module.colimits.prequotient.neg.inj_arrow 0.010728 s: asymptotics.is_o.prod_rightl 0.000637 s: mul_zero_class.to_smul_with_zero.equations._eqn_1 0.005910 s: is_R_or_C.nat_cast_re 0.000482 s: add_con_gen.equations._eqn_1 0.000269 s: side.to_string._main.equations._eqn_1 0.000163 s: list.sizeof._sunfold 0.000125 s: ordnode.split_min'._sunfold 0.169886 s: ideal.ideal_prod_equiv.equations._eqn_1 0.021679 s: filter.realizer.comap.equations._eqn_1 0.013912 s: nat.arithmetic_function.semimodule.equations._eqn_1 0.030006 s: multilinear_map.curry_uncurry_right 0.000209 s: znum.cmp._main.equations._eqn_4 0.000037 s: znum.cmp.equations._eqn_4 0.007077 s: polynomial.X_pow_comp 0.005600 s: has_fpower_series_on_ball.cases_on 0.090333 s: differentiable_at.csinh 0.016368 s: bounded_continuous_function.sum_apply 0.000120 s: ring_aut.equations._eqn_1 0.011105 s: quadratic_form.map_zero 0.003603 s: quadratic_form.polar_zero_right 0.000148 s: fp.float.is_zero._main.equations._eqn_1 0.001196 s: equiv.perm.inv_trans 0.003168 s: normed_group_hom.norm_noninc.bound_by_one 0.002435 s: pgame.short.mk.inj_eq 0.001223 s: omega.nat.preform.sub_terms._main.equations._eqn_4 0.000104 s: omega.nat.preform.sub_terms.equations._eqn_4 0.000075 s: function.decidable_eq_pfun 0.000407 s: fin_enum.pfun_fin_enum 0.023552 s: algebraic_geometry.PresheafedSpace.pushforward_diagram_to_colimit.equations._eqn_1 0.001094 s: add_group.closure.is_add_subgroup.equations._eqn_1 0.003010 s: mul_zero_one_class.rec_on 0.001028 s: tactic_doc._2413174002 0.000523 s: typevec.drop_repeat 0.003430 s: typevec.drop_repeat._main.equations._eqn_1 0.002283 s: typevec.drop_repeat.equations._eqn_1 0.001005 s: nat.modeq.modeq_and_modeq_iff_modeq_mul 0.001644 s: times_cont_mdiff_map.algebra._proof_1 0.000804 s: times_cont_mdiff_map.algebra._proof_2 0.006858 s: times_cont_mdiff_map.algebra._proof_3 0.069304 s: times_cont_mdiff_map.algebra._proof_5 0.038463 s: times_cont_mdiff_map.algebra 0.004144 s: finite_dimensional.nonempty_linear_equiv_iff_findim_eq 0.007967 s: equiv.subtype_equiv._match_1.equations._eqn_1 0.000307 s: mvqpf.sigma.repr 0.003293 s: mvqpf.sigma.repr.equations._eqn_1 0.000340 s: cardinal.has_le.equations._eqn_1 0.000542 s: omega.nat.bools.or._main.equations._eqn_2 0.000043 s: omega.nat.bools.or.equations._eqn_2 0.001130 s: simplex_category.mk_hom.equations._eqn_1 0.000354 s: tactic.tactic_script.work.inj_arrow 0.003364 s: real.nnnorm_of_nonneg 0.000127 s: bitraversable.const.equations._eqn_1 0.001421 s: is_add_submonoid.coe_add 0.002270 s: is_add_submonoid.smul_coe 0.000719 s: continuous_map.lattice._proof_8 0.001091 s: isometric.add_right_to_equiv 0.000105 s: boolean_algebra.core.lt._default.equations._eqn_1 0.000365 s: linarith.linexp.cmp._sunfold 0.011601 s: category_theory.Mat_.embedding_lift_iso_inv_app 0.002470 s: monoid_hom.of_map_mul_inv._proof_1 0.000609 s: monoid_hom.of_map_mul_inv 0.008115 s: category_theory.over.hom_mk_right 0.127218 s: fderiv_inner_clm.equations._eqn_1 0.019963 s: measure_theory.outer_measure.smul_supr 0.000154 s: equiv.empty_of_not_nonempty.equations._eqn_1 0.008352 s: function.surjective.comm_monoid_with_zero._proof_5 0.000364 s: closed_under_restriction.rec_on 0.000402 s: pgame.left_moves_of.equations._eqn_1 0.004432 s: category_theory.functor.map_Mat_comp.equations._eqn_1 0.002595 s: mvqpf.cofix.dest_corec₁ 0.004156 s: ideal.ker_lift_alg_mk 0.003403 s: polynomial.pow_add_expansion.equations._eqn_3 0.001200 s: enat.with_top_equiv_lt 0.000981 s: enat.with_top_equiv_symm_lt 0.001092 s: category_theory.limits.has_binary_products_of_has_binary_biproducts.equations._eqn_1 0.000655 s: add_hom.ext_iff 0.002714 s: add_hom.cancel_right 0.008718 s: hyperreal.infinite_pos_mul_infinite_pos 0.000739 s: category_theory.grothendieck_topology.discrete.equations._eqn_1 0.002106 s: linear_ordered_comm_group_with_zero.decidable_lt._default 0.001047 s: finset.inf'_induction 0.000382 s: finset.inf'_mem 0.000142 s: monad_io_environment.rec_on 0.000491 s: uniform.tendsto_congr 0.001091 s: finset.decidable_eq_pi_finset.equations._eqn_1 0.006674 s: pgame.list_short_nth_le._main._proof_3 0.012395 s: pgame.list_short_nth_le._main.equations._eqn_3 0.000820 s: category_theory.limits.has_zero_object_of_has_terminal_object.equations._eqn_1 0.009889 s: category_theory.abelian.is_limit_image'.equations._eqn_1 0.001649 s: multiset.map_singleton 0.002353 s: multiset.prod_singleton 0.011252 s: submodule.mem_sup_right 0.003843 s: ideal.mul_le_left 0.219740 s: exists_prime_spectrum_prod_le_and_ne_bot_of_domain 0.057344 s: category_theory.comonad.comparison.equations._eqn_1 0.009275 s: _private.2907559739.normal_mul_aux._match_2.equations._eqn_1 0.018738 s: list.exists_le_of_sum_le 0.000824 s: add_equiv.symm_bijective 0.005603 s: add_equiv.mk_coe' 0.000029 s: turing.partrec_to_TM2.Γ'.bit1.inj 0.000204 s: is_closed_map.equations._eqn_1 0.022231 s: linear_ordered_comm_group.to_no_bot_order.equations._eqn_1 0.000834 s: seminorm.ball.equations._eqn_1 0.000033 s: list.band 0.000039 s: list.band.equations._eqn_1 0.007698 s: euclidean_domain.lt_one 0.039047 s: has_strict_deriv_at.csinh 0.000581 s: ulift.add_right_cancel_semigroup.equations._eqn_1 0.001180 s: pfunctor.approx.truncate._main.equations._eqn_1 0.000303 s: pfunctor.approx.truncate.equations._eqn_1 0.013527 s: list.kreplace_of_forall_not 0.000059 s: znum.has_neg.equations._eqn_1 0.002121 s: submodule.comap_mkq.order_embedding.equations._eqn_1 0.000683 s: set.Ici.semilattice_inf_top._proof_3 0.000625 s: set.Ici.semilattice_inf_top._proof_4 0.001192 s: set.Ici.semilattice_inf_top._proof_5 0.000564 s: set.Ici.semilattice_inf_top._proof_7 0.007940 s: set.Ici.semilattice_inf_top 0.013815 s: cardinal.bit0_le_bit0 0.003780 s: order_of_eq_order_of_iff 0.001748 s: order_of_injective 0.000328 s: rbnode.balance1._main.equations._eqn_9 0.000510 s: ultrafilter.t2_space 0.000491 s: ultrafilter.t2_space.equations._eqn_1 0.000038 s: rbnode.color.inhabited 0.000152 s: option.traverse._sunfold 0.002614 s: turing.TM1to1.writes._main.equations._eqn_4 0.004723 s: is_primitive_root.inv 0.000295 s: is_primitive_root.inv_iff 0.016783 s: is_primitive_root.gpow_of_gcd_eq_one 0.000419 s: roption.of_option_decidable._main.equations._eqn_1 0.000147 s: roption.of_option_decidable.equations._eqn_1 0.000294 s: pos_num.shiftr._main.equations._eqn_3 0.000525 s: measure_theory.simple_func.add_comm_group._proof_1 0.018497 s: list.nth_rotate 0.000762 s: pequiv.symm_refl 0.000202 s: relator.right_total.right 0.000378 s: relator.rel_forall_of_right_total 0.003305 s: lie_algebra.is_solvable.drec_on 0.006623 s: rat.add._main.equations._eqn_1 0.004177 s: rat.add.equations._eqn_1 0.000331 s: zsqrtd.integral_domain._proof_12 0.000078 s: symm_of 0.011756 s: mv_polynomial.comm_ring.equations._eqn_1 0.005432 s: order.ideal.sup._match_2.equations._eqn_1 0.041601 s: CommRing.free.equations._eqn_1 0.087362 s: has_deriv_within_at.arctan 0.215357 s: deriv_within_arctan 0.037426 s: category_theory.mono_over.le_sup_left.equations._eqn_1 0.004981 s: affine_equiv.apply_symm_apply 0.000567 s: filter.tendsto_Ico_Ici_Ici 0.000414 s: filter.tendsto_Ico_Ici_Ici.equations._eqn_1 0.001102 s: mul_equiv.map_ne_one_iff 0.038343 s: is_primitive_root.zmod_equiv_gpowers_apply_coe_nat 0.000338 s: polynomial.to_continuous_map.equations._eqn_1 0.005045 s: category_theory.limits.bicone.rec_on 0.000152 s: with_top.has_one.equations._eqn_1 0.002370 s: turing.TM2.eval.equations._eqn_1 0.000218 s: list.is_setoid.equations._eqn_1 0.003386 s: qpf.fix.ind_rec 0.000171 s: quiver.path.length.equations._eqn_1 0.000253 s: nat.pred._main.equations._eqn_2 0.000046 s: nat.pred.equations._eqn_2 0.002123 s: category_theory.triangulated.triangle_morphism.comm₂' 0.000317 s: rel_hom.id_apply 0.000266 s: rack.pre_envel_group_rel'.refl.sizeof_spec 0.001964 s: Fintype.skeleton.category_theory.category.equations._eqn_1 0.052973 s: one_sub_gold 0.013959 s: tactic_doc._636876867 0.002488 s: category_theory.adjunction.core_hom_equiv.no_confusion 0.004818 s: category_theory.adjunction.core_hom_equiv.mk.inj 0.000414 s: finmap.has_decidable_eq._sunfold 0.000161 s: slim_check.combine._main.equations._eqn_1 0.002122 s: equiv.subtype_equiv_refl 0.000133 s: set.functor.equations._eqn_1 0.003414 s: Module.colimits.desc_fun_lift._main.equations._eqn_3 0.000674 s: Module.colimits.desc_fun_lift.equations._eqn_3 0.003235 s: homeomorph.sum_congr._proof_1 0.000637 s: homeomorph.sum_congr 0.000726 s: homeomorph.sum_congr.equations._eqn_1 0.000508 s: order.ideal.is_maximal.dcases_on 0.001653 s: intermediate_field.fg_def 0.000034 s: expr.address.has_to_string 0.000028 s: expr.address.has_to_string.equations._eqn_1 0.001760 s: category_theory.limits.prod_comparison.category_theory.is_iso.equations._eqn_1 0.054183 s: affine_map.coe_snd 0.000690 s: list.scanr_nil 0.000099 s: nat.totient.equations._eqn_1 0.162613 s: smul_le_iff_of_pos 0.024966 s: tactic_doc._377150321 0.000059 s: tree.of_rbnode 0.000161 s: tree.of_rbnode._sunfold 0.000860 s: tactic.abel.zero_term 0.004403 s: category_theory.comma.comp_left 0.004570 s: category_theory.comma.iso_mk_hom_left 0.000405 s: bounded_continuous_function.forget_boundedness.equations._eqn_1 0.000307 s: subalgebra.unique.equations._eqn_1 0.000297 s: polynomial.comm_ring.equations._eqn_1 0.009325 s: cardinal.bit1_lt_bit0 0.003326 s: cardinal.one_lt_bit0 0.002096 s: fintype.equiv_fin_of_forall_mem_list.equations._eqn_1 0.001942 s: antilipschitz_with.add_sub_lipschitz_with 0.000325 s: omega.nat.push_neg._main.equations._eqn_2 0.000049 s: dihedral_group.inhabited 0.001505 s: composition.mk.sizeof_spec 0.000591 s: Top.presheaf.to_Types.equations._eqn_1 0.005160 s: category_theory.grothendieck_topology.atomic._proof_2 0.002730 s: category_theory.grothendieck_topology.atomic._proof_3 0.001043 s: category_theory.grothendieck_topology.atomic 0.000758 s: category_theory.grothendieck_topology.atomic.equations._eqn_1 0.089101 s: category_theory.category_of_elements.structured_arrow_equivalence_unit_iso_hom_app_coe 0.015666 s: model_with_corners.range_eq_univ_prod 0.009836 s: model_with_corners.range_eq_univ_prod.equations._eqn_1 0.003716 s: metric.glue_premetric.equations._eqn_1 0.002798 s: homeomorph.shear_add_right_symm_coe 0.000395 s: char_zero.drec 0.003730 s: Mon.colimits.desc_fun_lift._sunfold 0.005822 s: approximates_linear_on.to_local_equiv.equations._eqn_1 0.000402 s: is_extensional_of_is_strict_total_order'.equations._eqn_1 0.000542 s: category_theory.sieve.pushforward_monotone 0.002874 s: category_theory.cartesian_closed.hom_equiv_symm_apply_eq 0.000092 s: unsigned.has_one 0.000639 s: category_theory.limits.colimit.cocone.equations._eqn_1 0.007407 s: linear_recurrence.to_init.equations._eqn_1 0.003666 s: slim_check.tree.shrink_with._match_2.equations._eqn_1 0.000765 s: filter.image_mem_sets 0.000272 s: right_add_coset_equivalence.equations._eqn_1 0.034144 s: perfect_closure.r.drec_on 0.008901 s: ring_hom.prod_unique 0.001410 s: asymptotics.is_O.exists_eq_mul 0.000493 s: turing.partrec_to_TM2.Λ'.push.inj 0.000203 s: turing.partrec_to_TM2.Λ'.push.inj_arrow 0.003218 s: category_theory.limits.pi_comparison.equations._eqn_1 0.002207 s: category_theory.under.has_limit.equations._eqn_1 0.000086 s: buffer.iterate 0.000847 s: buffer.iterate._main.equations._eqn_1 0.000188 s: buffer.iterate.equations._eqn_1 0.000178 s: filter.is_countable_basis.cases_on 0.000051 s: turing.inhabited_tm2_outputs._proof_3 0.000034 s: turing.inhabited_tm2_outputs._proof_4 0.000016 s: turing.inhabited_tm2_outputs_in_time._proof_4 0.001110 s: turing.inhabited_tm2_outputs_in_time 0.000828 s: turing.inhabited_tm2_outputs 0.078236 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_unit_iso.equations._eqn_1 0.000227 s: separated.union_right 0.000568 s: urysohns.CU.cases_on 0.021455 s: has_fderiv_within_at.unique_diff_within_at_of_continuous_linear_equiv 0.007534 s: tactic.norm_fin.normalize_fin_lt.add_nat 0.081413 s: continued_fraction.convergents_eq_convergents' 0.019984 s: nonneg_add_comm_group.mk.sizeof_spec 0.000056 s: turing.partrec_to_TM2.Γ'.cons.inj_eq 0.027361 s: add_subgroup.comap_infi 0.000068 s: omega.clause.unsat.equations._eqn_1 0.002404 s: category_theory.subobject.is_iso_top_arrow 0.000094 s: int.sign.equations._eqn_2 0.001217 s: completion.is_complete.equations._eqn_1 0.002774 s: category_theory.functor.is_equivalence_trans 0.000103 s: tactic.simp_config.canonize_instances._default.equations._eqn_1 0.381609 s: continuous_multilinear_curry_right_equiv_symm_apply 0.000488 s: is_greatest_Iic 0.000089 s: is_lub_Iic 0.001181 s: category_theory.category_of_elements.structured_arrow_equivalence_functor_obj_left 0.000287 s: measure_theory.sigma_finite.drec 0.000395 s: unique_diff_on.unique_diff_within_at 0.003984 s: nat.div_eq_zero 0.000113 s: decidable.has_to_string 0.001651 s: rel_iso.coe_fn_mk 0.000719 s: list.mfilter._main.equations._eqn_1 0.000163 s: list.mfilter.equations._eqn_1 0.037800 s: quaternion.conj_mul_eq_coe 0.000042 s: turing.partrec_to_TM2.Γ'.bit1.inj_arrow 0.000092 s: int.neg_of_nat._main.equations._eqn_1 0.000353 s: has_measurable_add.dcases_on 0.024297 s: polynomial.chebyshev_T_eq_dickson_one_one 0.013506 s: slim_check.injective_function.list.apply_id_zip_eq 0.000472 s: sub_mul_action.no_confusion_type 0.000600 s: int.shiftl._main.equations._eqn_1 0.000080 s: int.shiftl.equations._eqn_1 0.000219 s: rack.act.equations._eqn_1 0.003632 s: category_theory.monoidal.to_transported._proof_1 0.009013 s: category_theory.monoidal.to_transported._proof_5 0.007592 s: category_theory.monoidal.to_transported 0.003588 s: typevec.prod.diag._sunfold 0.000576 s: equiv.set.singleton.equations._eqn_1 0.000070 s: classical.prop_decidable.equations._eqn_1 0.001008 s: smooth.equations._eqn_1 0.000133 s: is_symm_op.rec_on 0.000708 s: with_bot.coe_eq_zero 0.003077 s: pnat.gcd_mul_lcm 0.000026 s: nzsnum.bit0 0.000077 s: nat.ordered_semiring.equations._eqn_1 0.000088 s: pgame.has_zero.equations._eqn_1 0.159971 s: algebraic_geometry.structure_presheaf_in_CommRing.equations._eqn_1 0.000742 s: ulift.semigroup._proof_1 0.000260 s: continued_fraction.inhabited.equations._eqn_1 0.000112 s: add_subgroup.nontrivial.equations._eqn_1 0.017976 s: linear_pmap.Sup.equations._eqn_1 0.003773 s: complex.is_scalar_tower 0.007910 s: turing.tape.write_nth 0.001350 s: parser.step.bind.equations._eqn_1 0.000847 s: tactic_doc._682770029 0.001782 s: Mon_.quiver.hom.hom.category_theory.is_iso 0.000750 s: category_theory.is_iso.comp_inv_eq 0.005629 s: Mon_.forget.category_theory.reflects_isomorphisms 0.000287 s: category_theory.is_skeleton_of.skel 0.000163 s: category_theory.skeleton.monoid._proof_1 0.000118 s: category_theory.skeleton.monoid 0.000590 s: mul_hom.mk.sizeof_spec 0.000189 s: game.le.equations._eqn_1 0.346064 s: polynomial.gal.gal_action_aux.equations._eqn_1 0.026240 s: deriv_within_pow 0.011101 s: Top.trivial.equations._eqn_1 0.002249 s: category_theory.subobject.iso_of_mk_eq_hom 0.000124 s: roption.has_coe.equations._eqn_1 0.001484 s: CommRing.colimits.prequotient.of.sizeof_spec 0.000423 s: continuous_within_at.congr_mono 0.074721 s: times_cont_mdiff_within_at_iff_times_cont_mdiff_on_nhds 0.005679 s: tendsto_neg_nhds_within_Ici 0.000147 s: order.ideal.is_maximal.is_coatom' 0.000040 s: tactic.rewrite_search.using_conv.splice_result.obstructed.inj_eq 0.182609 s: times_cont_diff_on.continuous_on_fderiv_of_open 0.000473 s: free_magma.mul.inj_eq 0.000581 s: turing.list_blank.head_mk 0.000092 s: ennreal.inhabited 0.000044 s: ennreal.inhabited.equations._eqn_1 0.009536 s: category_theory.half_braiding.mk.inj_eq 0.003750 s: measure_theory.has_finite_integral.mul_const 0.000925 s: slim_check.nat_ge.sampleable._match_2._proof_1 0.002439 s: category_theory.monoidal.Mon_functor_category_equivalence.functor_obj_obj_X 0.002206 s: dfinsupp.finite_support 0.231321 s: perfect_closure.has_inv._match_1.equations._eqn_1 0.031082 s: padic_int.mk_units_eq 0.001079 s: category_theory.mono_over.slice._proof_1 0.013525 s: category_theory.mono_over.slice._proof_2 0.009584 s: category_theory.mono_over.slice._proof_4 0.008427 s: category_theory.mono_over.slice._proof_5 0.001600 s: category_theory.mono_over.slice._proof_6 0.000885 s: category_theory.mono_over.slice._proof_8 0.035115 s: category_theory.mono_over.slice 0.046465 s: category_theory.mono_over.slice.equations._eqn_1 0.031509 s: slim_check.injective_function.shrink_perm._main._proof_1 0.009293 s: slim_check.injective_function.shrink_perm._main.equations._eqn_1 0.000218 s: zsqrtd.nonsquare.dcases_on 0.002414 s: omega_complete_partial_order.chain.mem_map 0.000208 s: zmod.comm_ring._main.equations._eqn_1 0.000083 s: zmod.comm_ring.equations._eqn_1 0.000287 s: add_con.add_con_gen_idem 0.000331 s: category_theory.with_initial.hom_to 0.002496 s: category_theory.limits.cocone.of_pushout_cocone_ι 0.000269 s: category_theory.limits.colimit.equations._eqn_1 0.000068 s: ordering.decidable_eq._match_4._proof_2 0.000053 s: list.decidable_mem._main._proof_1 0.002400 s: list.decidable_mem._main.equations._eqn_2 0.000076 s: category_theory.limits.walking_pair.inhabited 0.010438 s: add_subgroup.normed_group.equations._eqn_1 0.001550 s: string.iterator.extract._main.equations._eqn_1 0.001186 s: smul_with_zero.mk.inj_arrow 0.000024 s: true.rec_on 0.000773 s: Mon_.trivial_one 0.008472 s: ess_inf_const 0.233529 s: nhds_within_pi_eq' 0.006087 s: set.eq_preimage_subtype_val_iff 0.020912 s: smooth_map.C.equations._eqn_1 0.000098 s: format.color.to_string.equations._eqn_4 0.000286 s: category_theory.limits.preserves_limits.no_confusion_type 0.000559 s: category_theory.limits.preserves_limits.no_confusion 0.002438 s: semimodule.core.sizeof 0.003263 s: semimodule.core.mk.sizeof_spec 0.013377 s: collinear_iff_exists_forall_eq_smul_vadd 0.000553 s: option.decidable_exists_mem._match_2.equations._eqn_1 0.005830 s: filter.has_basis.lift 0.000072 s: function.is_fixed_pt_id 0.000356 s: function.is_periodic_pt_zero 0.002124 s: function.is_periodic_pt_minimal_period 0.002341 s: function.minimal_period_pos_of_mem_periodic_pts 0.000185 s: function.is_periodic_pt.minimal_period_pos 0.009945 s: function.is_periodic_pt.minimal_period_dvd 0.000195 s: function.is_periodic_pt_iff_minimal_period_dvd 0.001610 s: category_theory.of_type_functor.equations._eqn_1 0.000096 s: nontrivial.rec_on 0.000088 s: list.remove_nth.equations._eqn_1 0.002770 s: category_theory.cofinal.limit_cone_of_comp_cone 0.005990 s: ae_measurable_bsupr 0.000062 s: int.rec_on 0.001468 s: bool.bor_assoc 0.005810 s: multiset.rel.add 0.000937 s: subgroup.of_div._match_1.equations._eqn_1 0.000727 s: list.has_decidable_lt.equations._eqn_2 0.000232 s: buffer.read'._main 0.000045 s: buffer.read' 0.000590 s: has_finite_inter.mk.inj_arrow 0.000411 s: has_well_founded_of_has_sizeof.equations._eqn_1 0.002415 s: bounded_lattice.sizeof 0.000049 s: bounded_lattice.has_sizeof_inst 0.000699 s: equiv_functor.cases_on 0.000050 s: subsingleton_info.inhabited 0.009455 s: pgame.subsingleton_short._main._pack.equations._eqn_1 0.007724 s: submodule.prod.equations._eqn_1 0.018049 s: filter.Coprod_cocompact 0.000369 s: rel_hom.preimage.equations._eqn_1 0.000348 s: holor.cprank._proof_1 0.000107 s: holor.cprank 0.067843 s: real.sinh_two_mul 0.011237 s: tactic_doc._1460468796 0.002497 s: con.to_submonoid_inj 0.000556 s: order.cofinal.mk.inj_arrow 0.000162 s: ereal.neg.equations._eqn_2 0.000132 s: list.subset_append_right 0.010821 s: polynomial.to_subring_one 0.001947 s: Class.empty_hom 0.000185 s: lim.equations._eqn_1 0.000829 s: local_homeomorph.restr_open_source 0.001586 s: linear_isometry.diam_range 0.021035 s: free_algebra.equiv_monoid_algebra_free_monoid._proof_1 0.004938 s: free_algebra.equiv_monoid_algebra_free_monoid 0.004024 s: free_algebra.equiv_monoid_algebra_free_monoid.equations._eqn_1 0.000158 s: is_strict_total_order'.dcases_on 0.000227 s: bitvec.of_fin.equations._eqn_1 0.000892 s: bitvec.to_fin_of_fin 0.001087 s: finset.erase_inj 0.001123 s: order_eq_card_powers 0.004466 s: submonoid.localization_map.comp_eq_of_eq 0.037479 s: submonoid.localization_map.map_comp_map 0.000947 s: rbtree.find._main.equations._eqn_1 0.000253 s: rbtree.find.equations._eqn_1 0.000227 s: pnat.lcm.equations._eqn_1 0.000601 s: equiv.add_left.equations._eqn_1 0.013929 s: integral_domain.rec_on 0.001065 s: Fintype.skeleton.incl_mk_nat_card 0.000238 s: monoid.mfoldl.equations._eqn_1 0.000339 s: measure_theory.ae_eq_fun.has_zero.equations._eqn_1 0.028641 s: pi.generalized_boolean_algebra.equations._eqn_1 0.000382 s: nzsnum.binduction_on 0.000250 s: znum.zneg_pred 0.000152 s: compact_space.drec 0.000526 s: measurable_space.dynkin_system.restrict_on.equations._eqn_1 0.207979 s: smooth_bump_function.update_r_r 0.000662 s: ennreal.coe_min 0.021449 s: with_top.le_coe 0.003212 s: punit.not_lt 0.000104 s: turing.partrec_to_TM2.cont_stack.equations._eqn_1 0.020987 s: category_theory.limits.types.coproduct_colimit_cocone._proof_2 0.009133 s: category_theory.limits.types.coproduct_colimit_cocone 0.113513 s: skew_adjoint_matrices_lie_subalgebra_equiv_transpose 0.166674 s: skew_adjoint_matrices_lie_subalgebra_equiv_transpose_apply 0.000160 s: subgroup.unique 0.020781 s: submonoid.closure_singleton_one 0.001153 s: zmod.has_repr._main.equations._eqn_2 0.000380 s: zmod.has_repr.equations._eqn_2 0.007815 s: nat.lt_mul_div_succ 0.006698 s: mvfunctor.liftp_def 0.000865 s: con.ker.equations._eqn_1 0.011877 s: category_theory.subobject.inf_arrow_factors_right 0.005778 s: category_theory.subobject.finset_inf_arrow_factors 0.000168 s: polynomial.inhabited.equations._eqn_1 0.000870 s: CommRing.colimits.prequotient.of.inj 0.002472 s: CommRing.colimits.prequotient.of.inj_eq 0.000207 s: CpltSepUniformSpace.rec_on 0.000300 s: regular_expression.rec_on 0.000161 s: list.partition.equations._eqn_1 0.000693 s: units.mul_left.equations._eqn_1 0.002131 s: is_absolute_value.dcases_on 0.001035 s: category_theory.with_terminal.incl_lift_to_terminal 0.000123 s: lex_linear_order._proof_6 0.000210 s: rbtree.fold._sunfold 0.013284 s: CommSemiRing.has_forget_to_CommMon.equations._eqn_1 0.001968 s: equiv.preimage_symm_preimage 0.000394 s: slim_check.iff_testable.equations._eqn_1 0.000476 s: has_seq_right.mk.sizeof_spec 0.002069 s: lie_equiv.refl_apply 0.000177 s: alternative.cases_on 0.000110 s: alternative.no_confusion_type 0.004304 s: Mon.colimits.cocone_morphism 0.003664 s: Mon.colimits.cocone_naturality 0.003334 s: Mon.colimits.colimit_cocone._proof_1 0.001174 s: Mon.colimits.colimit_cocone 0.008448 s: Mon.colimits.colimit_is_colimit._proof_1 0.000471 s: Mon.colimits.quot_one 0.000695 s: Mon.colimits.quot_mul 0.012563 s: Mon.colimits.colimit_is_colimit._proof_2 0.001580 s: Mon.colimits.colimit_is_colimit 0.001425 s: Mon.colimits.colimit_is_colimit.equations._eqn_1 0.000182 s: cancel_monoid.npow._default 0.034297 s: linear_ordered_field.mk.sizeof_spec 0.000299 s: nonneg_add_comm_group.not_zero_pos 0.000233 s: palindrome.decidable 0.000273 s: palindrome.decidable.equations._eqn_1 0.000571 s: one_hom.coe_mk 0.027473 s: quaternion.norm_sq.equations._eqn_1 0.000338 s: asymptotics.is_O_with.of_norm_left 0.009984 s: asymptotics.is_O_with.const_smul_left 0.000169 s: SemiRing.of.equations._eqn_1 0.000700 s: isometric.mk' 0.000807 s: field_of_integral_domain._proof_5 0.000245 s: iff.decidable.equations._eqn_1 0.011394 s: finset.fiber_card_ne_zero_iff_mem_image 0.002126 s: direct_sum.gcomm_monoid.rec_on 0.003665 s: list.func.eq_get_of_mem 0.000634 s: structure_groupoid.maximal_atlas.equations._eqn_1 0.006625 s: category_theory.limits.is_limit.iso_unique_cone_morphism.equations._eqn_1 0.000145 s: category_theory.pairwise.hom.id_pair.inj_arrow 0.000311 s: add_comm_semigroup.cases_on 0.000186 s: add_comm_semigroup.no_confusion_type 0.000295 s: add_comm_semigroup.no_confusion 0.000745 s: add_comm_semigroup.mk.inj 0.000369 s: add_comm_semigroup.mk.inj_arrow 0.000672 s: set.Ici.semilattice_sup_top._proof_5 0.000101 s: ordnode.find_min._sunfold 0.000212 s: lift_fn_dom.equations._eqn_1 0.002830 s: category_theory.functor.left_unitor_hom_app 0.011779 s: category_theory.limits.colimit.pre_id 0.004404 s: many_one_degree.add_of 0.004367 s: category_theory.limits.fork.ext_hom 0.001974 s: measure_theory.measure.restrict_sum 0.003888 s: Mon.colimits.cocone_naturality_components 0.002077 s: Mod.hom.sizeof 0.000281 s: Mod.hom.has_sizeof_inst 0.004281 s: implicit_function_data.to_local_homeomorph_coe 0.004679 s: nat.cast_add_monoid_hom.equations._eqn_1 0.002625 s: filter.realizer.mk.inj_eq 0.004547 s: category_theory.category_of_elements.structured_arrow_equivalence_functor_map_left_down_down 0.000611 s: open_add_subgroup.semilattice_sup_top._proof_7 0.015913 s: valuation.is_equiv.map 0.000801 s: pgame.right_moves_add.equations._eqn_1 0.000053 s: num.test_bit.equations._eqn_1 0.036381 s: SemiRing.has_forget_to_AddCommMon.equations._eqn_1 0.000182 s: category_theory.center.hom.has_sizeof_inst 0.015259 s: monoid_algebra.mul_apply_right 0.002660 s: linear_ordered_comm_monoid.sizeof 0.005754 s: linear_ordered_comm_monoid.mk.sizeof_spec 0.004068 s: ordnode.find_min_dual 0.007748 s: ceil_sub_int 0.002434 s: category_theory.category_of_elements.π.equations._eqn_1 0.049153 s: linear_map.mk_continuous₂_norm_le 0.109726 s: matrix.to_quadratic_form' 0.010930 s: _private.319697073.decidable_good._main.equations._eqn_1 0.002425 s: _private.319697073.decidable_good.equations._eqn_1 0.000079 s: tactic.dsimp_config.proj 0.016104 s: ring.direct_limit.of.equations._eqn_1 0.001572 s: affine_equiv.to_equiv_inj 0.001877 s: direct_sum.lie_module_component._proof_2 0.000122 s: char.is_digit.equations._eqn_1 0.004876 s: free_abelian_group.map_sub 0.000381 s: is_alg_closure.alg_closed 0.000262 s: is_alg_closure.algebraic 0.000610 s: is_alg_closure_iff 0.000972 s: interval_integral.norm_integral_le_of_norm_le_const 0.000750 s: mvpfunctor.W_path.ibelow 0.000977 s: set.vadd_singleton 0.000824 s: set.insert_union 0.313247 s: concave_on.convex_hypograph 0.005648 s: category_theory.subobject.lower_equivalence.equations._eqn_1 0.006815 s: Module.direct_limit_diagram_map 0.001912 s: order.ideal.prime_pair.mk.inj 0.001759 s: order.ideal.prime_pair.mk.inj_arrow 0.164987 s: measure_theory.outer_measure.comap_bounded_by 0.003039 s: set.subsingleton.image 0.000168 s: function.injective.subsingleton_image_iff 0.025048 s: measure_theory.outer_measure.isometry_comap_mk_metric 0.005016 s: measure_theory.outer_measure.isometric_comap_mk_metric 0.002462 s: slim_check.injective_function.shrink._match_1._proof_1 0.000276 s: pos_num.ldiff._main.equations._eqn_3 0.000054 s: pos_num.ldiff.equations._eqn_3 0.000498 s: is_local_extr_on.on_subset 0.000186 s: is_local_extr_on.inter 0.003144 s: category_theory.limits.cokernel_zero_iso_target_inv 0.030345 s: submodule.semimodule_set.equations._eqn_1 0.020687 s: cardinal.eq_of_add_eq_add_left 0.003235 s: cardinal.eq_of_add_eq_add_right 0.000472 s: measurable_equiv.refl.equations._eqn_1 0.000879 s: submonoid.has_Inf.equations._eqn_1 0.000723 s: list.find_nil 0.014235 s: set.Ioc_disjoint_Ioc 0.003954 s: convex_cone.mk.inj_eq 0.002899 s: lucas_lehmer.X.bit0_fst 0.002272 s: lucas_lehmer.X.bit0_snd 0.066115 s: lucas_lehmer.X.closed_form 0.025545 s: perfection_map.mk' 0.000042 s: ordnode.drop_aux 0.000089 s: ordnode.drop 0.000150 s: ordnode.drop.equations._eqn_1 0.001947 s: list.doubleton_eq 0.000360 s: pos_num.lor._main.equations._eqn_9 0.000073 s: tactic.tfae.arrow.right.inj_eq 0.003361 s: euclidean_geometry.dist_eq_of_angle_eq_angle_of_angle_ne_pi 0.000281 s: ordinal.initial_seg_out._proof_1 0.000726 s: ordinal.initial_seg_out 0.005560 s: smooth_at_pi_space 0.032467 s: formal_multilinear_series.nnnorm_mul_pow_le_of_lt_radius 0.016470 s: zero_lt_four 0.014662 s: nnreal.div_lt_one_of_lt 0.195841 s: formal_multilinear_series.comp_summable_nnreal 0.002593 s: analytic_at.continuous_at 0.026561 s: formal_multilinear_series.le_radius_of_bound_nnreal 0.013136 s: nnnorm_sum_le 0.078849 s: formal_multilinear_series.le_comp_radius_of_summable 0.036499 s: formal_multilinear_series.comp_partial_sum_target_tendsto_at_top 0.005215 s: continuous_multilinear_map.map_sum_finset 0.035230 s: formal_multilinear_series.comp_partial_sum 0.004463 s: tendsto_locally_uniformly_on.tendsto_comp 0.014441 s: nhds_within_eq_of_open 40.613059 s: has_fpower_series_at.comp 0.000492 s: Top.Top_has_colimits.equations._eqn_1 0.001192 s: mvqpf.prj.repr._match_1.equations._eqn_1 0.144085 s: complex.norm_sq_inv 0.000167 s: mul_ne_mul_right 0.000258 s: slim_check.prop.sampleable_ext 0.000121 s: slim_check.prop.sampleable_ext.equations._eqn_1 0.000410 s: quandle.shelf_hom.has_lift 0.004927 s: monotone.mul_const 0.085473 s: monotone.div_const 0.000327 s: set.set_of_or 0.031077 s: filter.realizer.bind._match_4.equations._eqn_1 0.015182 s: max_mul_mul_right 0.000298 s: list.has_inter.equations._eqn_1 0.000332 s: wseq.is_finite.drec_on 0.011016 s: category_theory.structured_arrow.hom_mk_left 0.009743 s: int.euclidean_domain.equations._eqn_1 0.001500 s: wseq.inits._match_2.equations._eqn_1 0.001184 s: measure_theory.ae_eq_fun.ext_iff 0.009095 s: equiv.set.powerset._proof_3 0.000828 s: mul_eq_of_eq_mul_inv 0.000060 s: topological_fiber_bundle_core.base 0.000192 s: coe_to_lift.equations._eqn_1 0.002650 s: continuous_multilinear_map.rec_on 0.000378 s: Top.sheaf.rec_on 0.000189 s: is_symm_op.dcases_on 0.000083 s: Set.has_union.equations._eqn_1 0.000119 s: bool.has_to_string 0.000156 s: category_theory.with_initial.of.inj_arrow 0.011234 s: Inf_mem_closure 0.000550 s: except_t.monad_run.equations._eqn_1 0.102192 s: field_of_integral_domain._proof_26 0.000331 s: free_ring_pempty_equiv_int 0.000251 s: free_ring_pempty_equiv_int.equations._eqn_1 0.013719 s: multiset.fold_singleton 0.017923 s: add_monoid_hom.prod_comp_prod_map 0.000824 s: pSet.definable.eq_mk._sunfold 0.002359 s: quiver.path.cons.sizeof_spec 0.000346 s: rel_hom.coe_fn_to_fun 0.002705 s: continuous_within_at_Icc_iff_Iic 0.000431 s: submodule.to_ordered_add_comm_monoid._proof_1 0.000671 s: submodule.to_ordered_add_comm_monoid._proof_2 0.003089 s: submodule.to_ordered_add_comm_monoid 0.003122 s: submodule.to_ordered_add_comm_monoid.equations._eqn_1 0.000048 s: int.sign.equations._eqn_1 0.000428 s: ordinal.partial_order._match_11.equations._eqn_1 0.001082 s: with_one.lift_unique 0.006339 s: subalgebra.range_val 0.006582 s: subalgebra.map_injective 0.014491 s: subalgebra.fg_of_fg_map 0.003479 s: subalgebra.fg_top 0.000181 s: quotient.surjective_quotient_mk' 0.002351 s: list.length_concat 0.000035 s: pos_num.sub 0.000056 s: pos_num.sub.equations._eqn_1 0.000688 s: local_homeomorph.restr_to_local_equiv' 0.003099 s: category_theory.with_initial.lift_unique._match_1.equations._eqn_1 0.001290 s: free_add_magma.map_pure 0.009984 s: finset.order_iso_of_fin_symm_apply 0.000046 s: Preorder.has_coe_to_sort 0.000240 s: Preorder.preorder 0.011090 s: quotient.fin_choice_aux._sunfold 0.000053 s: monad_io_random.has_sizeof_inst 0.000286 s: is_locally_constant.exists_open 0.000227 s: string.iterator.extract_core._match_1.equations._eqn_1 0.003099 s: inner_product_space.no_confusion 0.002540 s: inner_product_space.mk.inj 0.001327 s: isometric.group._proof_2 0.000842 s: isometric.group._proof_3 0.000708 s: isometric.group._proof_4 0.000778 s: isometric.group._proof_9 0.000758 s: isometric.group._proof_10 0.018015 s: isometric.group._proof_13 0.042662 s: isometric.group._proof_14 0.027756 s: isometric.group 0.022199 s: isometric.group.equations._eqn_1 0.158367 s: exists_subalgebra_of_fg 0.000094 s: add_equiv.inhabited 0.000615 s: list.get_rest._main.equations._eqn_2 0.000085 s: list.get_rest.equations._eqn_2 0.022170 s: fin.range_cons 0.003126 s: category_theory.regular_mono.rec_on 0.002156 s: category_theory.limits.preserves_colimits_of_shape_of_reflects_of_preserves.equations._eqn_1 0.020752 s: category_theory.subobject.complete_lattice.equations._eqn_1 0.000048 s: rat.nondiscrete_normed_field 0.000060 s: rat.nondiscrete_normed_field.equations._eqn_1 0.031229 s: category_theory.limits.colimit_limit_to_limit_colimit.equations._eqn_1 0.001501 s: CommGroup.comm_group_obj.equations._eqn_1 0.005524 s: category_theory.limits.coprod.map_comp_id 0.004122 s: category_theory.limits.coprod.map_comp_id_assoc 0.002164 s: deriv_within_fpow 0.016720 s: complete_lattice.copy.equations._eqn_1 0.015596 s: min_mul_mul_right 0.007804 s: localization_map.sizeof 0.000184 s: localization_map.has_sizeof_inst 0.000112 s: is_glb_Ico 0.000344 s: cInf_Ico 0.000145 s: real.maps_to_cos 0.000145 s: real.bij_on_cos 0.000838 s: implicit_function_data.has_sizeof_inst 0.024132 s: pequiv.semilattice_inf_bot._proof_9 0.000387 s: CommGroup.coe_of 0.006301 s: polynomial.eval₂_mul_eq_zero_of_right 0.004779 s: tensor_product.compatible_smul.mk.inj 0.000313 s: function.is_periodic_pt.apply_iterate 0.000352 s: function.is_periodic_pt.apply 0.002580 s: quaternion.zero_im_j 0.002723 s: cardinal.card_typein_lt 0.000057 s: nat.partrec.code.encode_code.equations._eqn_4 0.001992 s: ring_hom.field_range.equations._eqn_1 0.002894 s: set.indicator_diff 0.000101 s: turing.partrec_to_TM2.cont'.ibelow 0.001760 s: circle_deg1_lift.coe_to_order_iso 0.040888 s: div_lt_div_right_of_neg 0.003186 s: equiv.set_value_eq 0.008677 s: category_theory.Ran.equiv_symm_apply_app 0.000097 s: int.land.equations._eqn_2 0.000059 s: enat.has_top.equations._eqn_1 0.000202 s: computability.fin_encoding_bool_bool.equations._eqn_1 0.000255 s: category_theory.quiver.hom.small.equations._eqn_1 0.000661 s: tsum_eq_sum 0.011764 s: category_theory.under.post_map_right 0.013886 s: nonarchimedean_ring.left_mul_subset 0.021618 s: is_basis.total_comp_repr 0.000218 s: ulift.fintype.equations._eqn_1 0.003855 s: prod.nnsemi_norm_def 0.000136 s: num.mul._main.equations._eqn_1 0.002953 s: coe_fn_monoid_hom.equations._eqn_1 0.708995 s: quaternion.norm_sq_div 0.045844 s: finset.union_compl 0.006722 s: filter.eventually_eq.div 0.000301 s: dlist.is_lawful_traversable 0.000141 s: dlist.is_lawful_traversable.equations._eqn_1 0.007796 s: add_monoid_hom.flip.equations._eqn_1 0.000355 s: sum.traverse._sunfold 0.009258 s: with_zero.ordered_add_comm_monoid.equations._eqn_1 0.000330 s: Mon.coe_of 0.004049 s: category_theory.limits.pushout_cocone.condition_assoc 0.011085 s: finset.order_iso_of_fin.equations._eqn_1 0.005215 s: mvpfunctor.M.corec_contents._main._proof_1 0.003955 s: mvpfunctor.M.corec_contents._main.equations._eqn_1 0.002447 s: mvpfunctor.M.corec_contents.equations._eqn_1 0.004444 s: subfield.map_map 0.000504 s: star_id_of_comm 0.020917 s: nat.digits_of_digits 0.069112 s: CommGroup.forget_preserves_limits 0.012208 s: filter.le_comap_top 0.002209 s: comm_cancel_monoid_with_zero.sizeof 0.005428 s: comm_cancel_monoid_with_zero.mk.sizeof_spec 0.005693 s: finset.lt_sup_iff 0.004076 s: finset.lt_sup'_iff 0.000109 s: multiset.singleton_ne_zero 0.000246 s: has_repr.mk.sizeof_spec 0.163729 s: real.times_cont_diff_at_arcsin_iff 0.108251 s: real.times_cont_diff_at_arccos_iff 0.000174 s: monad.no_confusion_type 0.000358 s: monad.no_confusion 0.000239 s: monad.mk.inj 0.000651 s: is_local_ring_hom.rec_on 0.000356 s: rack.pre_envel_group_rel'.assoc.inj_eq 0.011848 s: category_theory.iso.symm_mk 0.000249 s: category_theory.functor.elements.equations._eqn_1 1.231034 s: is_noetherian_pi.equations._eqn_1 0.015580 s: mvqpf.fix.mk_dest 0.000082 s: strict_weak_order.equiv.equations._eqn_1 0.000105 s: is_refl.drec 0.051991 s: category_theory.under.map_comp._proof_1 0.010977 s: category_theory.under.map_comp 0.008873 s: category_theory.under.map_comp.equations._eqn_1 0.002895 s: quaternion.zero_im_i 0.000151 s: stream.approx.equations._eqn_1 0.005176 s: stream.nth_approx 0.002548 s: stream.take_theorem 0.024282 s: category_theory.monoidal.transported_monoidal_counit_iso.equations._eqn_1 0.000526 s: order.pfilter.is_prime.drec_on 0.010670 s: turing.TM2to1.stmt_st_rec._main.equations._eqn_3 0.000899 s: mvpfunctor.cast_dropB.equations._eqn_1 0.000598 s: int.coe_lcm 0.000350 s: set.range.nonempty.equations._eqn_1 0.000109 s: sub_mul_action.has_sizeof_inst 0.001331 s: orthonormal.equations._eqn_1 0.000507 s: lt_mul_iff_one_lt_right' 0.003783 s: bounded_continuous_function.of_normed_group.equations._eqn_1 0.000543 s: algebraic_geometry.PresheafedSpace.as_coe 0.002664 s: subfield.coe_inf 0.013203 s: dlex_linear_order.equations._eqn_1 0.000114 s: omega.nat.preform.eq.sizeof_spec 0.001530 s: inner_product_geometry.angle_smul_left_of_pos 0.000342 s: order_closed_topology.cases_on 0.000345 s: expr.coord.repr._main.equations._eqn_4 0.000050 s: expr.coord.repr.equations._eqn_4 0.000141 s: category_theory.induced_category.has_coe_to_sort 0.000147 s: category_theory.induced_category.has_coe_to_sort.equations._eqn_1 0.032683 s: category_theory.cofinal.cocones_equiv.equations._eqn_1 0.007754 s: submodule.subtype.equations._eqn_1 0.000158 s: filter.countable_filter_basis.rec_on 0.000813 s: fpow_of_nat 0.002106 s: computability.Γ'.blank.inj_eq 0.002054 s: ennreal.top_ne_one 0.005882 s: filter.realizer.mk.sizeof_spec 0.000789 s: is_coatomic.set.Ici.is_coatomic.equations._eqn_1 0.000673 s: add_subgroup.to_ordered_add_comm_group._proof_3 0.004843 s: matrix.block_diagonal_zero 0.003449 s: subalgebra.to_ordered_ring 0.001818 s: smooth_manifold_with_corners.mem_maximal_atlas_of_mem_atlas 0.000485 s: is_add_subgroup.drec_on 0.000240 s: list.map₂._sunfold 0.016884 s: linear_map.rtensor_zero 0.000690 s: quotient_add_group.left_rel_decidable 0.000082 s: linarith.ineq.eq.sizeof_spec 0.000837 s: wseq.length._match_1.equations._eqn_1 0.142583 s: tilt 0.142980 s: tilt.equations._eqn_1 0.214713 s: filter.binfi_sup_right 0.200806 s: linear_ordered_comm_ring.to_ordered_semimodule.equations._eqn_1 0.023893 s: nnreal.rpow_le_rpow_of_exponent_le 0.139964 s: ennreal.rpow_le_rpow_of_exponent_le 0.000061 s: ordnode.nil.inj 0.000044 s: ordnode.nil.inj_arrow 0.000578 s: measure_theory.measure.mk_metric.equations._eqn_1 0.000092 s: std.priority.max.equations._eqn_1 0.000147 s: omega.int.preform.repr.equations._eqn_3 0.001124 s: filter.pure_le_iff 0.000597 s: uniform_space.completion.coe_eq 0.000489 s: measure_theory.to_measurable.equations._eqn_1 0.000277 s: functor.const.inhabited.equations._eqn_1 0.017518 s: list.sum_eq_foldr 0.000099 s: affine.simplex.circumcenter_weights_with_circumcenter._sunfold 0.003930 s: add_submonoid.to_nat_submodule_to_add_submonoid 0.010303 s: Module.category_theory.abelian._proof_1 0.000204 s: Module.category_theory.abelian._proof_3 0.032451 s: Module.category_theory.abelian._proof_4 0.036725 s: Module.category_theory.abelian 0.091840 s: Module.exact_iff 0.030482 s: alg_equiv.of_left_inverse.equations._eqn_1 0.000577 s: category_theory.limits.has_image_zero.equations._eqn_1 0.000353 s: category_theory.braided_functor.inhabited 0.000491 s: tactic.itauto.and_kind.sides._main.equations._eqn_1 0.000073 s: tactic.itauto.and_kind.sides.equations._eqn_1 0.000456 s: ordnode.partition._main.equations._eqn_1 0.000141 s: ordnode.partition.equations._eqn_1 0.002522 s: pythagorean_triple.is_primitive_classified.equations._eqn_1 0.003960 s: is_lawful_monad.pure_seq_eq_map._default 0.000246 s: nat.land_bit 0.000833 s: associates.bfactor_set_mem._main.equations._eqn_1 0.052993 s: mv_polynomial.eval₂_hom_C_id_eq_join₁ 0.000308 s: monoid_algebra.nontrivial 0.000090 s: free_monoid.inhabited 0.000639 s: free_algebra.nontrivial 0.001728 s: applicative_transformation.comp_id 0.001162 s: omega.nat.preterm.val._main.equations._eqn_3 0.010678 s: is_lub.mem_lower_bounds_of_tendsto 0.000356 s: filter.is_countably_generated.generating_set.equations._eqn_1 0.005404 s: category_theory.iso.conj_pow 0.002892 s: parser.seq_left_eq_fail 0.000206 s: writer_t.has_monad_lift.equations._eqn_1 0.001518 s: nat.zero_land 0.000661 s: nat.land_zero 0.001242 s: nat.land_assoc 0.002738 s: affine_map.mk'_linear 0.000567 s: add_submonoid.mrange_fst 0.000071 s: algebraic_geometry.Scheme.inhabited 0.000033 s: algebraic_geometry.Scheme.inhabited.equations._eqn_1 0.000071 s: real.decidable_eq.equations._eqn_1 0.005456 s: filter.tendsto.nsmul_at_bot 0.002671 s: function.surjective.sub_neg_add_monoid.equations._eqn_1 0.008403 s: category_theory.mono_over.lift.equations._eqn_1 0.000615 s: add_monoid_hom.is_add_monoid_hom.equations._eqn_1 0.005271 s: alg_hom.to_linear_map.equations._eqn_1 0.002932 s: category_theory.grothendieck_topology.dense._proof_2 0.000916 s: category_theory.grothendieck_topology.dense 0.000739 s: category_theory.grothendieck_topology.dense.equations._eqn_1 0.006591 s: category_theory.lax_monoidal_functor.mk.sizeof_spec 0.005518 s: category_theory.subobject.map_iso_to_order_iso.equations._eqn_1 0.000980 s: category_theory.triangulated.triangle.mk_obj₃ 0.001055 s: category_theory.limits.mono_factorisation.iso_comp.equations._eqn_1 0.023400 s: category_theory.adjunction.cocones_iso_component_hom._proof_1 0.012104 s: category_theory.adjunction.cocones_iso_component_hom 0.031224 s: category_theory.adjunction.cocones_iso._proof_1 0.004096 s: alternating_map.congr_arg 0.000137 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.nil_1.sizeof_spec 0.000586 s: turing.TM1.cfg.no_confusion 0.000525 s: turing.TM1.cfg.mk.inj 0.002887 s: turing.TM1.cfg.mk.inj_arrow 0.003028 s: subgroup.of_div.equations._eqn_1 0.000771 s: lists'.mem_of_subset 0.000325 s: lists'.subset.trans 0.057568 s: algebra.tensor_product.alg_equiv_of_linear_equiv_triple_tensor_product.equations._eqn_1 0.020784 s: linear_map.lcomp.equations._eqn_1 0.000149 s: set.finite.inter_of_right 0.001642 s: set.finite.inf_of_right 0.000245 s: succeeds 0.000210 s: succeeds.equations._eqn_1 0.004168 s: add_monoid_hom.smul_comm_class 0.082895 s: local_homeomorph.mdifferentiable.range_mfderiv_eq_top 0.037054 s: adjoin_one_adj.equations._eqn_1 0.001680 s: multiset.powerset_len_zero_right 0.000628 s: list.has_dec_eq._main.equations._eqn_1 0.000110 s: finmap.has_decidable_eq 0.001133 s: finmap.has_decidable_eq.equations._eqn_1 0.005159 s: subgroup.eq_bot_of_subsingleton 0.004667 s: subgroup.eq_top_of_card_eq 0.004258 s: is_simple_group_of_prime_card 0.002901 s: matrix.from_blocks_to_blocks 0.000320 s: invertible_inv 0.000311 s: invertible_inv.equations._eqn_1 0.481562 s: power_basis.equiv_adjoin_simple.equations._eqn_1 0.064600 s: power_basis.equiv_symm 0.506822 s: power_basis.equiv_adjoin_simple_symm_gen 0.000060 s: string.has_append.equations._eqn_1 0.021241 s: measure_theory.L1.simple_func.to_L1_zero 0.002343 s: tactic.tactic_script.primitive.pack.inj 0.000951 s: category_theory.with_terminal.comp.equations._eqn_1 0.004371 s: tensor_product.has_neg._match_1.equations._eqn_4 0.001903 s: distrib_mul_action_hom.map_sub 0.002623 s: ordinal.div_mul_cancel 0.006111 s: dfinsupp.semimodule_of_linear_map.equations._eqn_1 0.010744 s: canonically_linear_ordered_monoid.rec_on 0.000413 s: monotonic_sequence_limit.equations._eqn_1 0.005647 s: fin_enum.sum._proof_1 0.000515 s: fin_enum.sum 0.000387 s: fin_enum.sum.equations._eqn_1 0.000147 s: shelf.rec_on 0.010649 s: filter.le_limsup_of_frequently_le' 0.003153 s: affine_equiv.coe_one 0.000161 s: ordinal.is_equivalent.equations._eqn_1 0.008110 s: subgroup.normal_in_normalizer 0.005905 s: subgroup.normal_in_normalizer.equations._eqn_1 0.000303 s: slim_check.int_le.sampleable.equations._eqn_1 0.005627 s: category_theory.iso.AddGroup_iso_to_add_equiv.equations._eqn_1 0.001576 s: free_add_monoid.rec_on.equations._eqn_1 0.001285 s: int.neg_succ_not_pos 0.001885 s: lie_hom.has_zero.equations._eqn_1 0.000525 s: holor.cprank_max.rec_on 0.000307 s: fintype.fintype_prod_left.equations._eqn_1 0.010989 s: written_in_ext_chart_model_space 0.000389 s: polynomial.eval.is_semiring_hom.equations._eqn_1 0.000637 s: finset.nonempty.map 0.002330 s: free_semigroup.is_lawful_traversable._proof_2 0.006178 s: free_semigroup.is_lawful_traversable._proof_4 0.003913 s: free_semigroup.is_lawful_traversable._proof_5 0.000568 s: free_semigroup.is_lawful_traversable 0.005563 s: set.Iic_subset_Iio_union_Icc 0.002096 s: set.Iio_union_Icc_eq_Iic 0.002310 s: nat.div_add_mod' 0.002225 s: module.End.has_generalized_eigenvector 0.002816 s: topological_vector_bundle.dcases_on 0.005160 s: mv_polynomial.eval₂_hom_comp_bind₂ 0.013106 s: category_theory.frobenius_morphism_iso_of_preserves_binary_products.equations._eqn_1 0.000145 s: linarith.ineq.max._main.equations._eqn_9 0.000291 s: simple_graph.dart.sizeof 0.006621 s: simple_graph.dart.mk.sizeof_spec 0.000432 s: AddCommGroup.colimits.prequotient.add.inj_arrow 0.004771 s: measurable_space.dynkin_system.generate_has.drec 0.002849 s: subfield.sum_mem 0.002668 s: intermediate_field.sum_mem 0.000141 s: Set.diff 0.000044 s: Set.has_sdiff 0.001469 s: Set.mem_diff 0.000329 s: add_equiv.to_multiplicative._proof_4 0.000255 s: io.process.spawn_args.sizeof 0.000025 s: io.process.spawn_args.has_sizeof_inst 0.000332 s: inv_image.trans 0.001076 s: add_equiv.to_add_monoid_hom_injective 0.003588 s: measurable_space.comap._match_1.equations._eqn_1 0.010501 s: category_theory.Mat_.lift_unique.equations._eqn_1 0.000177 s: primcodable.of_denumerable.equations._eqn_1 0.000663 s: add_submonoid.copy_eq 0.000195 s: local_homeomorph.simps.apply 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s: category_theory.functor.map_inv_hom 0.020795 s: algebra.set_range_subset 0.000165 s: is_conj.setoid.equations._eqn_1 0.000224 s: quotient_group.right_rel 0.000512 s: quotient_group.right_rel.equations._eqn_1 0.000977 s: category_theory.retraction_split_epi.equations._eqn_1 0.000511 s: turing.TM0.eval.equations._eqn_1 0.000044 s: io.mode.read.inj 0.000035 s: io.mode.read.inj_eq 0.046509 s: matrix.cramer_eq_adjugate_mul_vec 0.000111 s: expr_lens.dir.A.inj_eq 0.007801 s: pgame.move_left_short.equations._eqn_1 0.000114 s: nonempty_fin_lin_ord.has_sizeof_inst 0.000109 s: Meas.equations._eqn_1 0.000189 s: reader_t.rec_on 0.002773 s: dfinsupp.decidable_zero 0.001681 s: dfinsupp.decidable_zero.equations._eqn_1 0.000389 s: associates.has_zero.equations._eqn_1 0.009393 s: linear_ordered_semiring.no_confusion 0.022469 s: linear_ordered_semiring.mk.inj 0.358096 s: simplex_category.δ_comp_σ_of_le 0.025595 s: category_theory.simplicial_object.δ_comp_σ_of_le 0.013015 s: 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typevec.typevec_cases_nil₃.equations._eqn_1 0.001906 s: add_subgroup.le_normalizer 0.000419 s: associates.factor_set.has_mem.equations._eqn_1 0.026003 s: matrix.to_linear_equiv'.equations._eqn_1 0.000407 s: ulift.monad.equations._eqn_1 0.000097 s: computability.Γ'.rec_on 0.000056 s: comm_monoid_with_zero.has_sizeof_inst 0.005182 s: linear_equiv.of_lift_dim_eq 0.002007 s: linear_equiv.of_lift_dim_eq.equations._eqn_1 0.000145 s: Cauchy.nonempty.equations._eqn_1 0.001069 s: pgame.short.mk'.equations._eqn_1 0.005202 s: category_theory.nat_trans.prod 0.007197 s: category_theory.nat_trans.prod.equations._eqn_1 0.000346 s: pfunctor.obj.iget._proof_1 0.000569 s: pfunctor.obj.iget 0.000605 s: pfunctor.obj.iget.equations._eqn_1 0.001158 s: associates.le_mul_left 0.000099 s: real.has_neg.equations._eqn_1 0.004625 s: list.lex.append_right 0.001506 s: uniform_space.separation_setoid.uniform_space._match_3.equations._eqn_1 0.001503 s: slim_check.string.sampleable.equations._eqn_1 0.000056 s: binder_info.default.sizeof_spec 0.000394 s: locally_finite_of_fintype 0.000156 s: padic_int.mod_part.equations._eqn_1 0.000438 s: list.bag_inter._main.equations._eqn_3 0.000137 s: list.bag_inter.equations._eqn_3 0.000044 s: nat.partrec.code.inhabited.equations._eqn_1 0.006692 s: quaternion.coe_complex_coe 0.000485 s: embedding_graph 0.000499 s: monoid_hom.to_functor.equations._eqn_1 0.001314 s: filter.germ.coe_neg 0.045262 s: filter.germ.abs_def 0.005578 s: asymptotics.is_O_neg_right 0.000347 s: set.abs_sub_left_of_mem_interval 0.080642 s: real.dist_left_le_of_mem_interval 0.000106 s: omega.nat.preform.ibelow 0.013660 s: omega.nat.preform.binduction_on 0.023319 s: subring.comap_top 0.046803 s: subring.top_prod_top 0.000140 s: holor_index.assoc_left._proof_1 0.000075 s: holor_index.assoc_left 0.000116 s: holor_index.assoc_left.equations._eqn_1 0.011620 s: canonically_ordered_add_monoid.rec_on 0.003630 s: con.le_iff 0.000504 s: fin.comm_semigroup._match_5.equations._eqn_1 0.000068 s: nat.sub._sunfold 0.000324 s: subgroup.normal.cases_on 0.001030 s: group.div._default.equations._eqn_1 0.326827 s: real.archimedean.equations._eqn_1 0.000426 s: cont_t.uliftable.equations._eqn_1 0.000144 s: lazy_list.interleave_all._sunfold 0.001144 s: onote.repr'._main.equations._eqn_2 0.030810 s: list.map_filter_map 0.002734 s: list.map_filter_map_of_inv 0.008852 s: homological_complex.graded_homology.equations._eqn_1 0.000405 s: turing.to_partrec.code.comp.sizeof_spec 0.000709 s: tactic.ring2.horner_expr.to_string._main.equations._eqn_1 0.000059 s: tactic.ring2.horner_expr.to_string.equations._eqn_1 0.023583 s: order_dual.ordered_cancel_comm_monoid.equations._eqn_1 0.005703 s: continuous_linear_map.coe_eq_id 0.000329 s: is_coatomic.is_coatomic.equations._eqn_1 0.000269 s: filter.germ.le_def 0.003432 s: category_theory.functor.additive.drec_on 0.000318 s: not_surjective_fintype_infinite 0.000493 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main._proof_1 0.000335 s: fintype.eq_of_subsingleton_of_prod_eq 0.001533 s: equiv.forall₂_congr' 0.000073 s: tactic.dsimp_config.fail_if_unchanged 0.000339 s: fp.float.sign._main.equations._eqn_3 0.000495 s: matrix.block_triangular_matrix.equations._eqn_1 0.000712 s: cau_seq.has_le.equations._eqn_1 0.004406 s: gaussian_int.euclidean_domain._proof_2 0.003526 s: category_theory.monoidal_category.left_assoc_tensor.equations._eqn_1 0.000384 s: lex_linear_order._proof_8 0.000152 s: category_theory.bundled_hom.parent_projection.has_sizeof_inst 0.000324 s: monoid_hom.to_additive''.equations._eqn_1 0.000464 s: mv_polynomial.decidable_eq_mv_polynomial.equations._eqn_1 0.000090 s: lazy_list.tail._sunfold 0.001114 s: finprod_mem_eq_of_bij_on 0.001220 s: bounded_continuous_function.mk_of_bound_coe 0.001138 s: category_theory.discrete.braided_functor._proof_2 0.000277 s: proper_space.drec_on 0.000506 s: option.alternative.equations._eqn_1 0.004871 s: nnreal.borel_space.equations._eqn_1 0.000122 s: lazy_list.has_repr.equations._eqn_1 0.000332 s: opposite.mul_zero_class.equations._eqn_1 0.001996 s: set.bdd_above_mul 0.000225 s: category_theory.limits.types.filtered_colimit.is_colimit_of._proof_1 0.000175 s: no_bot_order.drec 0.000169 s: is_commutative.dcases_on 0.003090 s: category_theory.triangulated.triangle_morphism.rec_on 0.001241 s: category_theory.preadditive.sum_comp_assoc 0.013173 s: multilinear_curry_right_equiv._proof_2 0.004495 s: lie_ideal.comap_map_le 0.006797 s: continuous_map_group.equations._eqn_1 0.000855 s: one_hom.comp_id 0.001397 s: mul_equiv_iso_Mon_iso.equations._eqn_1 0.000374 s: computation.lift_rel.equiv 0.000137 s: computability.Γ'.bit.sizeof_spec 0.004273 s: function.injective.add_comm_monoid.equations._eqn_1 0.001084 s: Mod.regular_act 0.000055 s: power_series.equations._eqn_1 0.000140 s: category_theory.limits.has_finite_wide_pullbacks.rec_on 0.000289 s: list.take'.equations._eqn_1 0.001445 s: cardinal.mk_to_nat_eq_card 0.002490 s: path.trans_cast 0.001829 s: category_theory.pretopology.sizeof 0.000066 s: category_theory.pretopology.has_sizeof_inst 0.000474 s: simple_graph.neighbor_set.mem_decidable.equations._eqn_1 0.000186 s: relation.refl_trans_gen_closed 0.003440 s: linear_map.mk_continuous_coe 0.002642 s: category_theory.preadditive.right_comp.equations._eqn_1 0.000438 s: structomorph.refl._proof_1 0.000394 s: structomorph.refl._proof_2 0.001119 s: structomorph.refl 0.008402 s: adjunction.adjoint_of_unop_adjoint_unop.equations._eqn_1 0.000286 s: submodule.span_span 0.003496 s: ideal.order_embedding_of_surjective.equations._eqn_1 0.000897 s: primcodable.mk.sizeof_spec 0.000184 s: zsqrtd.integral_domain._proof_1 0.006611 s: category_theory.center.iso_mk.equations._eqn_1 0.001742 s: list.lex.decidable_rel._main._proof_1 0.001383 s: list.lex.decidable_rel._main.equations._eqn_1 0.000218 s: list.lex.decidable_rel.equations._eqn_1 0.002016 s: is_add_submonoid.Inter.equations._eqn_1 0.005472 s: equiv.perm.sigma_congr_right_hom.decidable_mem_range 0.003289 s: equiv.perm.sigma_congr_right_hom.decidable_mem_range.equations._eqn_1 0.007893 s: add_submonoid.to_submonoid.equations._eqn_1 0.002105 s: category_theory.pretopology.mem_to_grothendieck 0.000038 s: semilattice_inf_top.lt._default 0.006666 s: Mon_.equiv_lax_monoidal_functor_punit.counit_iso_hom_app_hom 0.026592 s: times_cont_diff_on_top_iff_fderiv_of_open 0.002553 s: fin2.of_nat'._sunfold 0.000963 s: set.ite_right 0.000171 s: list.is_prefix.equations._eqn_1 0.005964 s: subalgebra.res.equations._eqn_1 0.042681 s: subring.prod.equations._eqn_1 0.000325 s: category_theory.single_obj.star.equations._eqn_1 0.000940 s: monoid_hom.inr.equations._eqn_1 0.046278 s: submodule.span.ring_hom._proof_1 0.000530 s: submodule.span.ring_hom._proof_4 0.014696 s: submodule.span.ring_hom 0.000774 s: add_units.neg_add_of_eq 0.000243 s: has_norm.mk.inj 0.003859 s: add_monoid_hom.map_dmatrix.equations._eqn_1 0.000206 s: matrix.inhabited 0.000302 s: matrix.inhabited.equations._eqn_1 0.000955 s: category_theory.with_initial.lift_to_initial.equations._eqn_1 0.032596 s: tendsto_coe_int_at_top_iff 0.000116 s: list.length_injective 0.000305 s: tactic.ring2.csring_expr.add.inj_eq 0.000909 s: tree.of_rbnode._main.equations._eqn_3 0.011251 s: lie_module_equiv.mk.inj_arrow 0.000544 s: local_homeomorph.simps.symm_apply.equations._eqn_1 0.000270 s: category_theory.abelian.pseudoelement.equations._eqn_1 0.000150 s: hahn_series.summable_family.has_sizeof_inst 1.213091 s: real.complete_space.equations._eqn_1 0.000488 s: rat.encodable.equations._eqn_1 0.000040 s: num.psub 0.003118 s: slim_check.dec_guard_testable.equations._eqn_1 0.002877 s: Module.colimits.desc_fun.equations._eqn_1 0.006223 s: list.insert_nth_remove_nth_of_le 0.032035 s: vector.remove_nth_insert_nth' 0.000085 s: nat.log_eq_zero_of_lt 0.000103 s: except.to_bool._sunfold 0.011507 s: neg_of_mul_neg_right 0.003304 s: category_theory.normal_of_is_pushout_snd_of_normal._proof_1 0.073984 s: category_theory.normal_of_is_pushout_snd_of_normal._proof_3 0.006222 s: category_theory.normal_of_is_pushout_snd_of_normal 0.007092 s: category_theory.normal_of_is_pushout_snd_of_normal.equations._eqn_1 0.011567 s: multiplicative.linear_ordered_comm_group.equations._eqn_1 0.005244 s: linear_ordered_add_comm_group.to_ordered_add_comm_group.equations._eqn_1 0.003148 s: category_theory.limits.preserves_equalizer.iso.equations._eqn_1 0.001074 s: isometric.coe_const_vadd 0.000160 s: list.mmap_accumr 0.000133 s: nnreal.real.has_coe.equations._eqn_1 0.000110 s: snum.bit._sunfold 0.004744 s: equiv.perm.decompose_option._match_1.equations._eqn_1 0.000065 s: slim_check.format_failure'.equations._eqn_2 0.000309 s: AddCommGroup.cokernel_iso_quotient._proof_8 0.000604 s: path.symm.equations._eqn_1 0.014465 s: path.symm_range 0.004749 s: continuous_linear_map.fpower_series.equations._eqn_3 0.003053 s: filter.inf_is_measurably_generated.equations._eqn_1 0.002305 s: continuous_linear_map.has_deriv_within_at 0.005873 s: real.sq_local_homeomorph.equations._eqn_1 0.001155 s: monotone_lfp 0.002397 s: category_theory.thin_skeleton.thin.equations._eqn_1 0.000172 s: int.quot._main.equations._eqn_4 0.001998 s: fin.cycle_range_of_eq 0.000238 s: fin.cycle_range_self 0.000674 s: id_groupoid._proof_3 0.002575 s: local_equiv.eq_of_eq_on_source_univ 0.001444 s: local_homeomorph.eq_of_eq_on_source_univ 0.000390 s: local_homeomorph.eq_on_source.source_eq 0.004552 s: id_groupoid._proof_5 0.001012 s: id_groupoid 0.000712 s: id_groupoid.equations._eqn_1 0.000707 s: summable.update 0.001358 s: has_deriv_at_iff_tendsto_slope 0.000047 s: snum.sign._sunfold 0.001088 s: category_theory.is_iso.id.equations._eqn_1 0.002428 s: category_theory.unbundled_hom.mk.sizeof_spec 0.006751 s: is_preconnected.union 0.000957 s: is_connected.union 0.003707 s: lie_equiv.of_subalgebra._proof_1 0.006678 s: lie_equiv.of_subalgebra._proof_2 0.003316 s: lie_equiv.of_subalgebra._proof_4 0.149278 s: lie_equiv.of_subalgebra 0.029413 s: lie_equiv.of_subalgebra_apply 0.007453 s: Top.subpresheaf_to_Types_map_coe 0.000036 s: bitvec.ushr 0.000095 s: bitvec.ushr.equations._eqn_1 0.000294 s: add_submonoid.has_bot.equations._eqn_1 0.023942 s: add_units.min_coe 0.014681 s: mv_polynomial.vanishing_ideal_empty 0.241216 s: intermediate_field.alg_hom_adjoin_integral_equiv.equations._eqn_1 0.055924 s: is_bounded_linear_map.is_O_comp 0.000145 s: category_theory.limits.walking_parallel_pair.one.inj_arrow 0.008510 s: category_theory.triangulated.pretriangulated.sizeof 0.006620 s: category_theory.triangulated.pretriangulated.mk.sizeof_spec 0.000241 s: ordinal.lt._match_1.equations._eqn_1 0.005585 s: subalgebra.is_submonoid.equations._eqn_1 0.003293 s: dfinsupp.lift_add_hom.equations._eqn_1 0.000919 s: except_t.monad_except.equations._eqn_1 0.002686 s: category_theory.limits.is_limit_of_reflects_of_map_is_limit 0.007107 s: pi.semimodule.equations._eqn_1 0.000298 s: ulift.semigroup 0.000215 s: ulift.semigroup.equations._eqn_1 0.000029 s: tactic.rewrite_search.using_conv.splice_result.contained.inj 0.001755 s: category_theory.iso.rec_on 0.000280 s: category_theory.limits.preserves_limits_of_preserves_equalizers_and_products._proof_1 0.001193 s: category_theory.limits.preserves_limits_of_preserves_equalizers_and_products 0.000420 s: list.alternating_prod._main.equations._eqn_2 0.000072 s: pgame.has_lt.equations._eqn_1 0.000385 s: finset.inf.equations._eqn_1 0.000499 s: finset.map.equations._eqn_1 0.002759 s: finset.fold_map 0.001856 s: finset.map_inf 0.000142 s: rel_iso.has_sizeof_inst 0.008104 s: pequiv.semilattice_inf_bot._proof_6 0.000092 s: buffer.write 0.000598 s: buffer.write.equations._eqn_1 0.003407 s: multiset.pmap_congr 0.002358 s: fin.nontrivial.equations._eqn_1 0.000218 s: erased.equiv 0.039336 s: has_ftaylor_series_up_to.rec_on 0.096875 s: complex.im_clm_apply 0.020888 s: continuous_linear_map.unit_le_op_norm 0.472219 s: complex.im_clm_norm 0.008000 s: roots_of_unity_equiv_nth_roots_apply 0.005250 s: category_theory.limits.prod_right_unitor_inv_naturality 0.006541 s: category_theory.monadic_creates_colimit_of_preserves_colimit.equations._eqn_1 0.000208 s: hahn_series.multiplicative.linear_ordered_comm_group._proof_2 0.000485 s: set.inj_on.right_inv_on_of_left_inv_on 0.000606 s: int.fdiv._main.equations._eqn_3 0.044474 s: finsupp.is_basis_single_one 0.010970 s: category_theory.is_filtered.of_right_adjoint 0.000271 s: category_theory.is_filtered.of_is_right_adjoint 0.000140 s: omega.int.preterm.cst.inj 0.000042 s: omega.int.preterm.cst.inj_arrow 0.001510 s: finsum_mem_eq_to_finset_sum 0.000165 s: omega.nat.preterm.val.equations._eqn_3 0.002274 s: normed_group_hom.coe_mk_normed_group_hom 0.000296 s: sym2.rel.setoid.equations._eqn_1 0.002952 s: category_theory.abelian.mk.inj_arrow 0.001213 s: equiv.option_equiv_sum_punit_symm_inl 0.526666 s: convex_on.slope_mono_adjacent 0.053319 s: convex_on_real_iff_slope_mono_adjacent 0.014241 s: alternating_map.coe_multilinear_map_mk 0.002788 s: linear_order.rec_on 0.000644 s: turing.TM2to1.st_run.equations._eqn_2 0.004862 s: category_theory.functor.is_equivalence_trans.equations._eqn_1 0.000407 s: is_solvable.drec 0.001416 s: is_alg_closure.drec_on 0.000147 s: znum.add._main.equations._eqn_5 0.008013 s: tensor_product.neg_tmul 0.001198 s: name.has_prefix._main.equations._eqn_2 0.000215 s: monad_cont.label.mk.inj_arrow 0.074995 s: is_R_or_C.of_real_bit1 0.043557 s: quaternion_algebra.conj_add_self 0.000273 s: monad_writer_adapter.rec_on 0.000407 s: turing.to_partrec.code.ok.equations._eqn_1 0.000389 s: category_theory.monoidal_nat_trans.has_sizeof_inst 0.020312 s: linear_map.comp_alternating_map.equations._eqn_1 0.002826 s: category_theory.monad.forget_creates_colimits.new_cocone_X 0.005739 s: prod.add_group.equations._eqn_1 0.000113 s: rack.pre_envel_group_rel'.refl.inj_arrow 0.002344 s: category_theory.monad.forget_creates_colimits.lambda.equations._eqn_1 0.000769 s: is_R_or_C.I_mul_I_of_nonzero 0.000336 s: prod.neg_mk 0.001285 s: linear_isometry_equiv.to_homeomorph.equations._eqn_1 0.000040 s: of_not_imp 0.000996 s: measure_theory.simple_func.preorder.equations._eqn_1 0.000748 s: directed_system.drec_on 0.010405 s: category_theory.lax_monoidal_id._proof_2 0.000266 s: slim_check.tree.shrink_with.equations._eqn_1 0.001224 s: int.add_mul_div_left 0.000084 s: nonote.has_add._proof_1 0.000882 s: tactic_doc._228500789 0.001565 s: equiv.perm.decompose_fin_symm_of_one 0.001768 s: tensor_product.eqv.rec_on 0.000209 s: computability.section_Γ'_bool._main.equations._eqn_2 0.000178 s: ordnode.real_size._sunfold 0.000653 s: category_theory.simplicial_object.truncated.category_theory.limits.has_limits.equations._eqn_1 0.001127 s: has_ftaylor_series_up_to.of_le 0.000234 s: list.perm_cons_append_cons 0.001766 s: filter.germ.coe_comp_tendsto 0.054246 s: polynomial.iterated_deriv_mul 0.000358 s: has_pow.no_confusion 0.000282 s: has_pow.mk.inj 0.000115 s: has_pow.mk.inj_arrow 0.000214 s: multiset.erase_dup_singleton 0.010355 s: Top.partial_sections.equations._eqn_1 0.002593 s: bilin_form.sizeof 0.000094 s: semimodule.core.has_sizeof_inst 0.002243 s: matrix.dot_product_eq_zero_iff 0.000028 s: expr.coord.elet_var_type.inj 0.000043 s: expr.coord.elet_var_type.inj_arrow 0.001763 s: category_theory.with_terminal.incl.category_theory.full.equations._eqn_1 0.002282 s: ordinal.lt_of_add_lt_add_right 0.005081 s: set.Ico_union_Ici_eq_Ici 0.000157 s: interactive.loc.cases_on 0.003810 s: eq_top_of_bot_eq_top 0.000658 s: array.drop.equations._eqn_1 0.001006 s: add_units.neg_mk 0.003831 s: category_theory.coyoneda.coyoneda_full.equations._eqn_1 0.001281 s: int.quot._main.equations._eqn_2 0.000094 s: int.quot.equations._eqn_2 0.000083 s: simplex_category.equations._eqn_1 0.007551 s: category_theory.limits.wide_pushout_shape.subsingleton_hom.equations._eqn_1 0.000506 s: is_add_submonoid.drec 0.009490 s: affine_map.monoid.equations._eqn_1 0.001587 s: nat.one_lt_pow' 0.011324 s: measure_theory.ae_eq_fun.lintegral_zero 0.000544 s: tactic.ring_exp.base_to_exp_pf 0.000648 s: bool.eq_ff_of_ne_tt 0.029222 s: quaternion.conj_mul_self 0.000367 s: seq.terminated_at_decidable.equations._eqn_1 0.000110 s: io.env.get.equations._eqn_1 0.000184 s: nat.dvd_left_injective 0.005384 s: parser.numeral.char.equations._eqn_1 0.008223 s: deriv_within.scomp 0.000311 s: is_regular.drec_on 0.000921 s: category_theory.triangulated.triangle_morphism_id_hom₁ 0.021394 s: category_theory.mono_over.pullback_comp.equations._eqn_1 0.000091 s: computability.encode_pos_num._sunfold 0.000246 s: add_con.map_gen 0.006292 s: add_con.map_of_surjective_eq_map_gen 0.007545 s: CommMon_.equiv_lax_braided_functor_punit.lax_braided_to_CommMon_obj 0.000491 s: equiv.mul_equiv.equations._eqn_1 0.000300 s: fintype.fintype_prod_right.equations._eqn_1 0.005800 s: pi_Lp.emetric_space.equations._eqn_1 0.002309 s: alg_hom.sizeof 0.000371 s: alg_hom.has_sizeof_inst 0.000096 s: fact.bit1.pos 0.006644 s: category_theory.triangulated.inv_rot_comp_rot_hom_app_hom₁ 0.000344 s: add_zero_class.to_is_right_id.equations._eqn_1 0.000428 s: computation.corec.equations._eqn_1 0.018336 s: algebraic_geometry.PresheafedSpace.of_restrict_c_app 0.003115 s: segment_translate_image 0.000363 s: tendsto_const_nhds_within 0.135530 s: real.of_cauchy.inj_arrow 0.017431 s: differentiable_on.snd 0.000097 s: has_inter.rec_on 0.002245 s: homeomorph.coe_add_left 0.012246 s: measure_theory.lintegral_add_left_eq_self 0.000211 s: pSet.resp.inhabited 0.000141 s: pSet.resp.inhabited.equations._eqn_1 0.006998 s: add_equiv_iso_AddMagma_iso._proof_2 0.000210 s: turing.tape.move._sunfold 0.014237 s: category_theory.yoneda'.equations._eqn_1 0.001192 s: tree.of_rbnode._main.equations._eqn_2 0.003125 s: list.map_eq_append_split 0.000384 s: set.Ici.semilattice_sup_bot._proof_2 0.033332 s: times_cont_diff.ccosh 0.010871 s: lfp_lfp 0.004673 s: finprod_mem_bUnion 0.001924 s: Module.add_comm_group_obj.equations._eqn_1 0.000067 s: fun_info.rec_on 0.000524 s: category_theory.functor.sum._match_1.equations._eqn_1 0.025157 s: category_theory.mono_over.image.equations._eqn_1 0.000138 s: prime_multiset.to_nat_multiset.equations._eqn_1 0.023279 s: continuous_multilinear_map.to_multilinear_map_linear.equations._eqn_1 0.008199 s: category_theory.limits.is_limit.uniq' 0.025177 s: order_dual.conditionally_complete_lattice.equations._eqn_1 0.000504 s: ordnode.partition._match_2.equations._eqn_1 0.009329 s: multiset.sub_eq_fold_erase 0.021929 s: nnreal.conditionally_complete_linear_order_bot._match_1.equations._eqn_1 0.000465 s: lazy_list.is_lawful_traversable 0.000245 s: lazy_list.is_lawful_traversable.equations._eqn_1 0.000104 s: opposite.topological_space.equations._eqn_1 0.000419 s: multiset.coe_nodupkeys 0.000303 s: mvqpf.sigma.mvfunctor.equations._eqn_1 0.003332 s: equiv.perm.sigma_congr_right_inv 0.001205 s: category_theory.creates_limit.cases_on 0.001166 s: category_theory.creates_limit.no_confusion_type 0.001547 s: category_theory.creates_limit.no_confusion 0.001553 s: category_theory.creates_limit.mk.inj 0.001919 s: category_theory.creates_limit.mk.inj_arrow 0.003312 s: finset.unop_sum 0.000218 s: interactive.loc.ns.sizeof_spec 0.002326 s: bounded_lattice.no_confusion_type 0.002427 s: bounded_lattice.no_confusion 0.005887 s: bounded_lattice.mk.inj 0.006539 s: bounded_lattice.mk.inj_arrow 0.000131 s: is_right_id.cases_on 0.000211 s: int.sign_neg_one 0.021094 s: tensor_product.has_neg._match_1.equations._eqn_5 0.001598 s: with_top.coe_bit1 0.000369 s: filter.mk_of_closure.equations._eqn_1 0.000770 s: equiv.list_equiv_of_equiv.equations._eqn_1 0.000220 s: fin.has_to_string.equations._eqn_1 0.009543 s: metric.to_inductive_limit_isometry 0.002133 s: topological_space.nonempty_compacts.to_GH_space.equations._eqn_1 0.410463 s: Gromov_Hausdorff.GH_space.complete_space 0.374282 s: Gromov_Hausdorff.GH_space.complete_space.equations._eqn_1 0.009988 s: has_strict_fderiv_at.local_inverse.equations._eqn_1 0.000584 s: pfun.lift.equations._eqn_1 0.404243 s: has_deriv_within_at.limsup_slope_le 0.000654 s: pos_num.test_bit._main.equations._eqn_4 0.045706 s: nnreal.rpow_arith_mean_le_arith_mean2_rpow 0.413695 s: continuous_multilinear_curry_right_equiv_symm_apply' 0.000142 s: free_ring.of.equations._eqn_1 0.009572 s: ring.fractional_ideal.sup_eq_add 0.000457 s: int.lxor._main.equations._eqn_4 0.000232 s: function.embedding.punit._proof_1 0.000064 s: free_group.free_group_empty_equiv_unit._proof_2 0.981174 s: algebraic_closure.step.scalar_tower.equations._eqn_1 0.005622 s: seminorm.sub_rev 0.004603 s: free_add_magma.add_seq 1.543985 s: real.log_two_near_10 0.101642 s: inner_product_space.to_dual_map_injective 0.013965 s: localization_map.order_embedding.equations._eqn_1 0.000507 s: ordinal.is_equivalent._match_10.equations._eqn_1 0.000154 s: equiv.nat_sum_punit_equiv_nat.equations._eqn_1 0.000109 s: free_add_semigroup.equations._eqn_1 0.643376 s: map_le_line_map_iff_slope_le_slope_left 0.543216 s: map_le_line_map_iff_slope_le_slope 0.000434 s: is_mul_hom.drec_on 0.000331 s: add_submonoid.closure.equations._eqn_1 0.032437 s: zorn.chain_closure.dcases_on 0.000104 s: ordinal.lift_omega 0.000213 s: stone_cech_unit.equations._eqn_1 0.000259 s: filter.germ.comm_semiring._proof_14 0.002533 s: function.support_add_neg 0.000482 s: category_theory.is_kernel_pair.inhabited 0.000369 s: category_theory.is_kernel_pair.inhabited.equations._eqn_1 0.002509 s: sesq_form.comp_injective 0.001765 s: list.mem_of_mem_inter_left 0.001474 s: local_equiv.is_image.inter 0.000036 s: tactic.simp_intros_config.use_hyps 0.000350 s: alternating_group_normal 0.004966 s: tactic.abel.term_add_term 0.013155 s: algebra.bit1_smul_bit1 0.003031 s: has_continuous_smul.has_measurable_smul.equations._eqn_1 0.003595 s: con.gi._proof_1 0.000231 s: con.gi._proof_3 0.000669 s: con.gi 0.000680 s: con.gi.equations._eqn_1 0.000387 s: decidable.le_imp_le_of_lt_imp_lt 0.000343 s: decidable.le_imp_le_iff_lt_imp_lt 0.003912 s: submodule.coe_is_compl_equiv_proj_symm_apply 0.014833 s: emetric.closeds.compact_space.equations._eqn_1 0.005882 s: tangent_cone_mono 0.000051 s: vm_obj_kind.level.sizeof_spec 0.000718 s: fpow_neg_mul_fpow_self 0.001649 s: equiv.set.singleton._match_1.equations._eqn_1 0.000244 s: pgame.inv_ty.zero.sizeof_spec 0.000180 s: ordnode.equiv.equations._eqn_1 0.000061 s: zsqrtd.add_semigroup 0.002898 s: mv_polynomial.join₁_rename 0.000236 s: category_theory.kleisli.inhabited.equations._eqn_1 0.000147 s: interactive.loc.no_confusion_type 0.000283 s: interactive.loc.no_confusion 0.002586 s: equiv.perm.cycle_type._match_2.equations._eqn_1 0.001329 s: measure_theory.ae_eq_dirac 0.004963 s: measure_theory.lintegral_dirac 0.000542 s: set.infinite_iff_frequently_cofinite 0.001538 s: mv_polynomial.pempty_alg_equiv_apply 0.000307 s: generalized_continued_fraction.pair.has_coe_to_generalized_continued_fraction_pair.equations._eqn_1 0.000272 s: mul_lt_of_mul_lt_left 0.000151 s: turing.tm2_computable_aux.cases_on 0.000665 s: surreal.lift.equations._eqn_1 0.000193 s: relator.left_total.rec_on 0.001488 s: ring_invo.mk.inj_eq 0.002669 s: category_theory.comp_creates_colimits_of_shape 0.000714 s: set.fintype_image2._proof_1 0.000608 s: probability_theory.Indep.equations._eqn_1 0.000149 s: quotient.mk.equations._eqn_1 0.010605 s: finset.inf_coe 0.000126 s: floor.equations._eqn_1 0.000204 s: nat.sub_induction._sunfold 0.000111 s: enat.with_top_add_equiv._proof_1 0.000016 s: tactic.itauto.prop.eq 0.001653 s: mvqpf.quotient_qpf.equations._eqn_1 0.001243 s: tactic_doc._1482366276 0.011035 s: exp_map_circle_hom._proof_1 0.004634 s: exp_map_circle_hom 0.000402 s: tactic.interactive.case_tag.match_result.combine._main.equations._eqn_7 0.007852 s: category_theory.limits.image_map.factor_map_assoc 0.001540 s: has_deriv_at.inv 0.001133 s: deriv_inv' 0.002043 s: vector3.append_add 0.002259 s: pi_Icc_mem_nhds 0.001257 s: pi_Icc_mem_nhds' 0.003541 s: category_theory.prod_preserves_connected_limits.γ₂.equations._eqn_1 0.000288 s: sigma.decidable_eq._match_2._proof_1 0.000737 s: sigma.decidable_eq._match_2.equations._eqn_1 0.000072 s: trunc.inhabited 0.000103 s: trunc.inhabited.equations._eqn_1 0.002207 s: measurable_equiv.mk.sizeof_spec 0.000209 s: slim_check.or.printable_prop 0.000460 s: homological_complex.forget 0.001456 s: category_theory.limits.cokernel.π_zero_is_iso.equations._eqn_1 0.001090 s: seminorm.triangle' 0.000566 s: seminorm.triangle 0.003233 s: category_theory.iso.Semigroup_iso_to_add_equiv.equations._eqn_1 0.000555 s: add_action.no_confusion 0.000158 s: Set.has_insert.equations._eqn_1 0.161599 s: smooth_bump_function.inhabited._proof_1 0.107088 s: smooth_bump_function.inhabited 0.001555 s: filter.mk.sizeof_spec 0.020429 s: measure_theory.simple_func.const_mul_eq_map 0.022503 s: measure_theory.Lp.Lp_submodule.equations._eqn_1 0.004106 s: filter.frequently_imp_distrib_left 0.001448 s: supr_unique 0.004118 s: cardinal.aleph_is_normal 0.002672 s: computable.vector_of_fn 0.000041 s: additive.equations._eqn_1 0.000454 s: ring_invo.rec_on 0.001272 s: tactic_doc._979957586 0.000370 s: list.perm.product_left 0.015940 s: category_theory.monad.forget_creates_limits.new_cone.equations._eqn_1 0.596701 s: function.injective.ordered_comm_ring.equations._eqn_1 0.007931 s: free_magma.is_lawful_traversable._proof_2 0.012289 s: category_theory.iso.Ring_iso_to_ring_equiv._proof_2 0.012547 s: category_theory.iso.Ring_iso_to_ring_equiv._proof_4 0.001972 s: category_theory.iso.Ring_iso_to_ring_equiv 0.001241 s: category_theory.iso.Ring_iso_to_ring_equiv.equations._eqn_1 0.020529 s: category_theory.differential_object.shift_unit_inv.equations._eqn_1 0.000382 s: is_cond_left_inv.left_inv 0.004377 s: matrix.add_monoid_hom_map_zero 0.000126 s: generalized_continued_fraction.int_fract_pair.has_coe_to_int_fract_pair 0.000058 s: fp.float.is_zero.equations._eqn_2 0.000385 s: array.ext' 0.288807 s: interval_integral.integral_has_fderiv_within_at 0.042393 s: equiv.perm.cycle_factors_aux._main.equations._eqn_2 0.003410 s: equiv.perm.cycle_factors_aux.equations._eqn_2 0.018177 s: category_theory.mono_over.lift_id.equations._eqn_1 0.001287 s: category_theory.functor.map_presheaf_obj_X 0.000067 s: function.embedding.punit 0.000082 s: function.embedding.punit.equations._eqn_1 0.000101 s: rbnode.mk_insert_result.equations._eqn_1 0.041864 s: times_cont_diff_at.ccos 0.062719 s: category_theory.discrete.monoidal_functor_comp._proof_6 0.021695 s: linear_map.disjoint_inl_inr 0.023312 s: matrix.to_lin_alg_equiv.equations._eqn_1 0.002494 s: contracting_with.dist_fixed_point_le 0.000421 s: lazy_list.mem._main.equations._eqn_1 0.000193 s: lazy_list.mem.equations._eqn_1 0.000223 s: is_asymm.dcases_on 0.000467 s: rel_hom.is_asymm 0.001882 s: add_le_add_three 0.002126 s: ordinal.lift.initial_seg_coe 0.000062 s: tactic.ring.normalize_mode.horner.inj_eq 0.002980 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main.equations._eqn_2 0.001542 s: multiples_add_hom_symm_apply 0.013525 s: Mon_.forget.category_theory.reflects_isomorphisms.equations._eqn_1 0.000743 s: filter.germ.bounded_lattice._proof_8 0.002081 s: category_theory.limits.prod.comp_lift_assoc 0.002894 s: interior_union_is_closed_of_interior_empty 0.001778 s: vector.nth_mem 0.003884 s: add_monoid_hom.cod_restrict._proof_1 0.003816 s: add_monoid_hom.cod_restrict._proof_2 0.001781 s: add_monoid_hom.cod_restrict 0.001483 s: add_monoid_hom.cod_restrict.equations._eqn_1 0.000136 s: fin.has_zero.equations._eqn_1 0.000303 s: is_regular.drec 0.013652 s: pi.semilattice_sup_top.equations._eqn_1 0.000464 s: parser.conditionally_unfailing.drec 0.007881 s: bilin_form.is_adjoint_pair.comp 0.001092 s: psigma.fintype_prop_prop._match_1.equations._eqn_1 0.004580 s: list.sorted.coe_nth_le_iso_symm_apply 0.002157 s: nat.sub_one_sub_lt 0.001622 s: tactic_doc._318918819 0.000637 s: rel_hom.is_irrefl 0.001729 s: polynomial.dickson._sunfold 0.000413 s: onote.cmp._main.equations._eqn_2 0.000815 s: equiv.sigma_preimage_equiv_apply 0.001493 s: category_theory.decomposed_to_obj 0.002812 s: linear_pmap.has_neg.equations._eqn_1 0.004958 s: int.lt_mul_of_div_lt 0.001845 s: is_closed_Union 0.001220 s: homeomorph.smul 0.001143 s: category_theory.limits.comp_reflects_limits 0.001136 s: category_theory.limits.comp_reflects_limits.equations._eqn_1 0.021086 s: category_theory.limits.combine_cones_π_app_app 0.000079 s: fp.prec.equations._eqn_1 0.008293 s: sub_neg_monoid.mk.sizeof_spec 0.002162 s: differentiable_within_at.mdifferentiable_within_at 0.002060 s: continuous_linear_equiv.differentiable_within_at 0.002588 s: continuous_linear_equiv.mdifferentiable_within_at 0.013702 s: inv_pos_lt_iff_one_lt_mul 0.000985 s: punit.nonempty_fin_lin_ord.equations._eqn_1 0.001827 s: pi.pi.lawful_fix' 0.001770 s: subring.mk'.equations._eqn_1 0.000199 s: is_strict_total_order.dcases_on 0.000788 s: tendsto_locally_uniformly.equations._eqn_1 0.005607 s: tendsto_locally_uniformly_on_univ 0.060385 s: direct_sum.sub_apply 0.029967 s: module.direct_limit.to_module_totalize_of_le 0.488349 s: module.direct_limit.of.zero_exact_aux 0.161757 s: module.direct_limit.of.zero_exact 0.014855 s: monotone.mul_strict_mono 0.037503 s: prime_spectrum.zero_locus_union 0.000499 s: category_theory.left_adjoint_preserves_terminal_of_reflective._proof_2 0.013629 s: submodule.mapq_apply 0.000052 s: additive.fintype 0.000063 s: additive.fintype.equations._eqn_1 0.000514 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_5 0.002985 s: finprod_mem_sUnion 0.011788 s: finset.prod_lt_prod_of_subset' 0.000039 s: ordered_comm_group.lt._default 0.000107 s: ordered_comm_group.lt._default.equations._eqn_1 0.000441 s: tactic.ring2.horner_expr.add_aux._main.equations._eqn_1 0.024404 s: submodule.add_comm_monoid_submodule.equations._eqn_1 0.014993 s: num.linear_ordered_semiring.equations._eqn_1 0.000173 s: lint_verbosity.high.inj_eq 0.001642 s: fintype.card_subtype_lt 0.000087 s: language.has_insert 0.121904 s: perfect_closure.has_inv.equations._eqn_1 0.015685 s: nat.primrec.swap 0.005121 s: nat.primrec.swap' 0.003321 s: semiquot.bind.equations._eqn_1 0.001011 s: monoid_with_zero_hom.id.equations._eqn_1 0.040086 s: has_deriv_at.csinh 0.037531 s: deriv_csinh 0.000289 s: filter.is_bounded_under.equations._eqn_1 0.000381 s: parser.step.and_then'.equations._eqn_1 0.000269 s: ordnode.node4_r._sunfold 0.006621 s: category_theory.limits.equalizer.condition_assoc 0.008035 s: polynomial.has_repr 0.003879 s: polynomial.has_repr.equations._eqn_1 0.001765 s: rand.random_series.equations._eqn_1 0.003007 s: list.erase_dup_append 0.001752 s: multiset.erase_dup_add 0.001759 s: continuous_at.vadd 0.000204 s: add_submonoid.has_top.equations._eqn_1 0.002122 s: setoid.partition.rel_iso.equations._eqn_1 0.000610 s: mul_hom.comp.equations._eqn_1 0.000926 s: equiv.perm.decompose_option.equations._eqn_1 0.000146 s: pi.has_star.equations._eqn_1 0.000669 s: punit.div_eq 0.000032 s: tactic.ring.normalize_mode.raw.inj_arrow 0.000472 s: pos_num.decidable_prime.equations._eqn_1 0.002008 s: finsupp.zip_with_apply 0.012247 s: category_theory.pi.cone_of_cone_eval_is_limit._proof_2 0.000201 s: parser.err_static.char_buf.equations._eqn_1 0.000591 s: seq1.join._match_3.equations._eqn_2 0.000476 s: prod.has_variable_names.equations._eqn_1 0.010429 s: set.preimage_const_mul_Iic_of_neg 0.001175 s: smul_ne_zero 0.000164 s: category_theory.triangulated.pretriangulated.triangulated_functor.inhabited._proof_1 0.000185 s: category_theory.triangulated.pretriangulated.triangulated_functor.inhabited._proof_2 0.018790 s: category_theory.triangulated.pretriangulated.triangulated_functor.inhabited._proof_3 0.011443 s: category_theory.triangulated.pretriangulated.triangulated_functor.inhabited 0.002361 s: coe_frobenius_equiv 0.000225 s: pos_num.lor._main.equations._eqn_4 0.016838 s: ideal.quotient.has_one.equations._eqn_1 0.033384 s: lie_submodule.complete_lattice.equations._eqn_1 0.000207 s: denumerable.of_nat.equations._eqn_1 0.011674 s: function.embedding.inv_fun_restrict 0.000142 s: order.cofinal.inhabited 0.001479 s: direct_sum.ghas_one.of_add_submonoids_one 0.006318 s: tactic_doc._3193776411 0.017534 s: is_R_or_C.is_cau_seq_re 0.000361 s: category_theory.limits.has_zero_object.no_confusion_type 0.000486 s: category_theory.limits.has_zero_object.no_confusion 0.001693 s: category_theory.limits.has_zero_object.mk.inj 0.034928 s: filter.complete_lattice.equations._eqn_1 0.000095 s: bin_tree.has_sizeof_inst 0.000344 s: bin_tree.node.sizeof_spec 0.000164 s: pilex.inhabited 0.000131 s: pilex.inhabited.equations._eqn_1 0.000161 s: summable.equations._eqn_1 0.012031 s: pi.summable 0.001158 s: ennreal.tsum_apply 0.007958 s: diffeomorph.mk.inj_eq 0.000550 s: complete_lattice.omega_complete_partial_order.equations._eqn_1 0.000116 s: tactic.ring2.horner_expr.const.sizeof_spec 0.001062 s: univ.is_submonoid.equations._eqn_1 0.000051 s: tactic_doc_entry.name 0.003200 s: category_theory.with_terminal.incl_lift_to_terminal_hom_app 0.000636 s: set.image_neg_Iio 0.000140 s: ordnode.powerset 0.000222 s: ordnode.powerset.equations._eqn_1 0.000295 s: subtype.map.equations._eqn_1 0.000089 s: num.of_znum._sunfold 0.000130 s: ordered_cancel_comm_monoid.lt._default.equations._eqn_1 0.001038 s: set.fintype_image2 0.000933 s: set.fintype_image2.equations._eqn_1 0.009177 s: continuous_linear_equiv.coe_fn_of_bijective 0.021499 s: with_top.canonically_ordered_add_monoid._match_1.equations._eqn_3 0.005736 s: list.foldr_rec_on_cons 0.029237 s: category_theory.adjunction.to_monad.equations._eqn_1 0.006246 s: pi_Iio_mem_nhds' 0.000145 s: turing.partrec_to_TM2.Λ'.read.inj_eq 0.304196 s: fderiv_sin 0.035392 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_17 0.004534 s: smooth_manifold_with_corners.drec_on 0.024865 s: uniform_space.core.sum._match_1.equations._eqn_1 0.001250 s: computation.thinkN._main.equations._eqn_2 0.000108 s: computation.thinkN.equations._eqn_2 0.000133 s: io.print_ln 0.005040 s: category_theory.lifts_to_colimit.mk.inj_eq 0.003893 s: add_subgroup.bot_normal.equations._eqn_1 0.000441 s: equiv.to_embedding.equations._eqn_1 0.019282 s: order_dual.complete_linear_order.equations._eqn_1 0.002836 s: onote.mul_NF._sunfold 0.000315 s: generalized_continued_fraction.squash_gcf._sunfold 0.000667 s: bdd_above_Iio 0.009472 s: padic_int.mk_units.equations._eqn_1 0.003935 s: tactic.norm_fin.normalize_fin.le 0.002414 s: category_theory.limits.kernel.of_cokernel_of_epi 0.002541 s: category_theory.limits.kernel.of_cokernel_of_epi.equations._eqn_1 0.006771 s: category_theory.limits.biproduct.ι_mono._proof_1 0.000090 s: tactic.itauto.prop.inhabited.equations._eqn_1 0.001732 s: linear_map.no_confusion_type 0.001742 s: linear_map.no_confusion 0.000125 s: omega.nat.preterm.rec_on 0.003046 s: finset_is_basis_of_span_eq_top_of_card_eq_findim 0.000561 s: regular_expression.deriv._sunfold 0.002063 s: times_cont_diff_bump_of_inner.mk.sizeof_spec 0.006520 s: charted_space_core.mk.inj_eq 0.002073 s: category_theory.equivalence.congr_right_functor 0.000263 s: matrix.empty_mul_vec 0.003168 s: finsupp.supported_union 0.000222 s: parser.step.drec 0.000998 s: nnreal.sub_self 0.005105 s: dfinsupp.filter_pos_add_filter_neg 0.003702 s: sub_mul_action.zero_mem 0.002120 s: sub_mul_action.has_zero._proof_1 0.000339 s: category_theory.braided_functor.inhabited.equations._eqn_1 0.000104 s: ordnode.fold._sunfold 0.000123 s: has_involutive_star.rec_on 0.003273 s: linear_equiv.to_Module_iso'_right_inv 0.001095 s: add_monoid.in_closure.drec_on 0.000444 s: pfunctor.M_intl.mk.sizeof_spec 0.000727 s: uniform_inducing.drec 0.000052 s: rsimp.config.max_rounds 0.006527 s: Module.Mon_Module_equivalence_Algebra._proof_1 0.035668 s: lie_submodule.inf_lie 0.015688 s: filter.Liminf_top 0.004068 s: smooth_map.coe_inv 0.001968 s: category_theory.limits.as_empty_cocone_ι_app 0.000629 s: is_compactly_generated.drec 0.000771 s: additive.linear_ordered_add_comm_monoid_with_top._proof_5 0.008646 s: free_algebra.rel.dcases_on 0.000128 s: bdd_below.inter_of_right 0.006854 s: subfield.coe_neg 0.000225 s: prod.is_refl_preimage_snd 0.000061 s: slim_check.tactic.decorations_of.equations._eqn_1 0.002252 s: Set.omega_zero 0.000674 s: finsupp.comap_distrib_mul_action_self.equations._eqn_1 0.003458 s: hahn_series.multiplicative.linear_ordered_comm_group._proof_14 0.000675 s: reader_t.no_confusion 0.000284 s: reader_t.mk.inj 0.000125 s: reader_t.mk.inj_arrow 0.001010 s: set.finite.seq 0.000318 s: set.finite.seq' 0.026106 s: mv_polynomial.eval₂_hom_eq_zero 0.004572 s: mv_polynomial.aeval_eq_zero 0.002510 s: category_theory.iso.self_symm_conj 0.000060 s: doc_category.cmd.inj_eq 0.000458 s: Fintype.incl.equations._eqn_1 0.002362 s: list.repeat_count_eq_of_count_eq_length 0.003117 s: linear_ordered_comm_monoid.decidable_lt._default.equations._eqn_1 0.000813 s: semiquot.lift_on.equations._eqn_1 0.002313 s: is_ring_hom.comp 0.000027 s: tactic.interactive.case_tag.match_result.no_match.inj 0.000891 s: quandle.dihedral.quandle.equations._eqn_1 0.001599 s: hahn_series.mk.inj_eq 0.000180 s: ordered_cancel_comm_monoid.npow._default 0.000151 s: convex_cone.inhabited 0.000188 s: convex_cone.inhabited.equations._eqn_1 0.002707 s: _private.1302059739.has_product_ulift_fin 0.006996 s: subfield.coe_add 0.000228 s: lazy_list.attach 0.000205 s: ordnode.valid'.rec_on 0.005802 s: continuous_map.sub_coe 0.001147 s: continuous_map.abs_apply 1.068676 s: min_eq_half_add_sub_abs_sub 0.214497 s: continuous_map.inf_eq 0.041560 s: order_topology.regular_space._match_1.equations._eqn_1 0.001255 s: vector3.insert_fz 0.000141 s: surreal.equations._eqn_1 0.001626 s: zsqrtd.integral_domain._proof_4 0.000172 s: _private.3401015375.P._proof_1 0.003439 s: _private.3401015375.P 0.000240 s: lazy_list.append._sunfold 0.000441 s: option.pmap._sunfold 0.006973 s: category_theory.limits.cocone.unop.equations._eqn_1 0.000382 s: has_continuous_sub.cases_on 0.006704 s: category_theory.mono_over.lift_obj_arrow 0.003694 s: infi_Prop_eq 0.007706 s: con.Inf_def 0.002196 s: seq.split_at._main.equations._eqn_2 0.000320 s: galois_insertion.of_dual._proof_1 0.000168 s: galois_insertion.of_dual._proof_2 0.000325 s: galois_insertion.of_dual._proof_3 0.001642 s: galois_insertion.of_dual 0.000107 s: znum.div.equations._eqn_6 0.001629 s: normalization_monoid.rec_on 0.000830 s: quotient.rec.equations._eqn_1 0.006019 s: finset.preimage_inter 0.000217 s: equiv.option_equiv_sum_punit._match_1.equations._eqn_2 0.000066 s: num.lxor.equations._eqn_1 0.001122 s: preorder_hom.prod.map.equations._eqn_1 0.000035 s: io.mode.read.inj_arrow 0.000784 s: omega.int.preform.fresh_index._main.equations._eqn_2 0.002687 s: category_theory.limits.is_image.lift_ι_assoc 0.003416 s: equiv.sigma_congr_right._match_1.equations._eqn_1 0.000780 s: cau_seq.completion.Cauchy.has_zero.equations._eqn_1 0.001007 s: _private.482679531.mul._sunfold 0.004140 s: set.univ_pi_ite 0.001671 s: measure_theory.measure_preserving.cases_on 0.000539 s: powers.one_mem 0.000209 s: powers.is_submonoid 0.002722 s: measure_theory.frequently_ae_mem_iff 0.002887 s: measure_theory.conservative.frequently_ae_mem_and_frequently_image_mem 0.022607 s: presented_group.to_group.unique 0.000059 s: znum.cmp.equations._eqn_1 0.006014 s: tangent_bundle.smooth_on_proj 0.000077 s: bool.inhabited.equations._eqn_1 0.000221 s: has_measurable_mul₂.rec_on 0.000098 s: bitvec.append 0.000113 s: bitvec.append.equations._eqn_1 0.015049 s: list.map₂_left_eq_map₂ 0.062622 s: string.iterator.curr._main.equations._eqn_1 0.002242 s: is_mul_hom.inv 0.006375 s: polynomial.next_coeff_of_pos_nat_degree 0.006263 s: polynomial.next_coeff_X_sub_C 0.024433 s: polynomial.prod_X_sub_C_next_coeff 0.012856 s: filter.realizer.inf._match_4.equations._eqn_1 0.002013 s: wseq.union._match_2.equations._eqn_1 0.007091 s: mv_polynomial.eval₂_prod 0.000035 s: lint_verbosity.medium.inj_arrow 0.000017 s: tactic.simp_config.iota_eqn._default 0.000041 s: tactic.simp_config.iota_eqn._default.equations._eqn_1 0.002672 s: cardinal.mk_sep 0.002307 s: cardinal.mk_subset_ge_of_subset_image_lift 0.000387 s: wseq.filter_map._match_1.equations._eqn_1 0.006953 s: nat.prime.pow_not_prime 0.041321 s: filter.tendsto_at_bot_add_const_left 0.000264 s: extend_from.equations._eqn_1 0.000045 s: binder_info.strict_implicit.sizeof_spec 0.000080 s: ge.is_preorder 0.008545 s: add_submonoid.to_submonoid_apply_coe 0.009248 s: category_theory.functor.map_cocone_precompose.equations._eqn_1 0.009493 s: category_theory.equivalence.equivalence_mk'_unit_inv 0.000364 s: list.split._main.equations._eqn_1 0.000173 s: nat.discriminate 0.001355 s: subgroup.coe_comap 0.001603 s: subgroup.map_eq_comap_of_inverse 0.000200 s: category_theory.limits.has_finite_products.drec_on 0.225330 s: bernoulli_poly.bernoulli_poly_eval_zero 0.000675 s: subgroup.has_bot.equations._eqn_1 0.038078 s: adjunction.unop_adjoint_unop_of_adjoint.equations._eqn_1 0.042035 s: ideal.quotient.is_scalar_tower.equations._eqn_1 0.000894 s: list.transpose_aux._main.equations._eqn_3 0.000183 s: list.transpose_aux.equations._eqn_3 0.008656 s: lie_group.cases_on 0.002242 s: filter.congr_sets 0.000290 s: int.sign_mul_abs 0.000127 s: classical.exists_cases._proof_1 0.000153 s: quiver.path.nil.inj 0.000102 s: denumerable.finset._proof_1 0.000598 s: finset.sup_def 0.011088 s: lie_ideal.map_of_image 0.000306 s: except_t.mk_label._sunfold 0.001075 s: set.inv_mem_inv 0.001262 s: matrix.tail_add 0.001064 s: cInf_insert 0.000082 s: and.cases_on 0.003450 s: turing.TM1to1.step_aux_move 0.001306 s: category_theory.eq_functor_obj 0.003129 s: ring_hom.eq_slocus.equations._eqn_1 0.000196 s: list.zip_left'.equations._eqn_1 0.002657 s: mul_equiv_iso_Magma_iso._proof_1 0.000680 s: mul_equiv_iso_Magma_iso 0.000927 s: mul_equiv_iso_Magma_iso.equations._eqn_1 0.000341 s: vector_allp.imp 0.002905 s: category_theory.subobject.pullback.category_theory.faithful 0.006306 s: linear_pmap.semilattice_inf_bot._match_2.equations._eqn_1 0.001936 s: fin.find._main.equations._eqn_2 0.000476 s: fin.find.equations._eqn_2 0.000073 s: has_lt.no_confusion_type 0.079232 s: differentiable.cos 0.011417 s: add_submonoid.localization_map.mk'_surjective 0.000146 s: slim_check.add_shrinks._sunfold 0.008041 s: inner_product_space.core.mk.sizeof_spec 0.004183 s: mdifferentiable_on_ext_chart_at 0.038262 s: mv_polynomial.punit_alg_equiv_apply 0.005580 s: category_theory.limits.wide_pullback_shape.mk_cone_X 0.010447 s: category_theory.monad.algebra_functor_of_monad_hom_eq.equations._eqn_1 0.002907 s: continuous_add_submonoid.equations._eqn_1 0.000165 s: sum.sizeof._sunfold 0.003967 s: nnreal.indicator_summable 0.063854 s: nnreal.tsum_indicator_ne_zero 0.006710 s: pmf.filter._proof_1 0.000658 s: pmf.filter 0.000487 s: pmf.filter.equations._eqn_1 0.000454 s: pmf.normalize_apply 0.002975 s: pmf.filter_apply 0.001359 s: category_theory.subterminals_thin.equations._eqn_1 0.000366 s: pgame.left_response_spec 0.000546 s: list.fin_range_zero 0.000333 s: prod.decidable_eq._sunfold 0.000132 s: lex_linear_order._proof_1 0.000158 s: lex_linear_order._proof_2 0.000335 s: lex_linear_order._proof_9 0.002450 s: lex_linear_order._proof_11 0.002599 s: lex_linear_order._proof_14 0.006390 s: lex_linear_order 0.000782 s: ordnode.valid_nil 0.000144 s: ordnode.bounded.weak 0.000211 s: ordnode.valid'.valid 0.001177 s: ordnode.erase_min.valid 0.000388 s: ordnode.erase_max.valid 0.000162 s: list.alternating_prod.equations._eqn_2 0.000602 s: monotone.le_is_glb_image 0.000090 s: category_theory.limits.has_finite_limits_of_has_limits 0.333332 s: ring.fractional_ideal.is_principal 0.000167 s: rbmap.to_value._sunfold 0.060567 s: category_theory.limits.wide_pullback_shape.diagram_iso_wide_cospan._proof_2 0.003727 s: category_theory.limits.wide_pullback_shape.diagram_iso_wide_cospan 0.001975 s: simple_graph.mk.inj 0.001385 s: simple_graph.mk.inj_arrow 0.002148 s: simple_graph.ext_iff 0.000065 s: nat.partrec.code.right.inj_arrow 0.000078 s: char.inhabited.equations._eqn_1 0.000111 s: monad_io_is_monad_fail.equations._eqn_1 0.006540 s: category_theory.functor.precompose_whisker_left_map_cocone_inv_hom 0.015473 s: dfinsupp.mk.is_add_group_hom.equations._eqn_1 0.000281 s: DFA.to_NFA.equations._eqn_1 0.004248 s: category_theory.limits.binary_fan.assoc.equations._eqn_1 0.000257 s: string.has_decidable_eq._match_1.equations._eqn_2 0.004922 s: simple_graph.mul_adj_matrix_apply 0.002274 s: simple_graph.adj_matrix_mul_self_apply_self 0.001955 s: pi.add_comm_monoid.equations._eqn_1 0.001395 s: subring.to_submonoid_injective 0.005323 s: category_theory.subobject.iso_of_eq_inv 0.011642 s: category_theory.lift_comp_preserves_limits_iso_hom 0.005931 s: category_theory.lift_comp_preserves_limits_iso_hom_assoc 0.000218 s: linear_ordered_add_comm_monoid.nsmul._default 0.000305 s: linear_ordered_add_comm_monoid.nsmul._default.equations._eqn_1 0.101131 s: convex.lipschitz_on_with_of_norm_fderiv_le 0.012321 s: measurable_space.dynkin_system.generate_has_compl 0.012148 s: simplex_category.small_category.equations._eqn_1 0.010075 s: category_theory.extend_fan_is_limit.equations._eqn_1 0.001351 s: ordinal.partial_order._match_10.equations._eqn_1 0.000150 s: ordering.decidable_eq._match_3._proof_1 0.000109 s: ordering.decidable_eq._match_3.equations._eqn_1 0.005821 s: dist_add_add_le_of_le 0.000576 s: differentiable.const_add 0.000812 s: differentiable_const_add_iff 0.001076 s: differentiable_const_sub_iff 0.000356 s: omega.nat.preform.neg_free._main.equations._eqn_3 0.000032 s: omega.nat.preform.neg_free.equations._eqn_3 0.000284 s: is_preconnected_Ioi 0.020970 s: category_theory.pairwise.cocone_is_colimit._proof_2 0.002543 s: ring_hom.to_int_alg_hom.equations._eqn_1 0.004101 s: monoid_algebra.distrib_mul_action 0.002877 s: monoid_algebra.distrib_mul_action.equations._eqn_1 0.003880 s: category_theory.monad.algebra_functor_of_monad_hom_id.equations._eqn_1 0.002298 s: normed_algebra.to_semi_normed_algebra.equations._eqn_1 0.002645 s: computable.subtype_mk 0.083601 s: submodule.smul_assoc 0.041390 s: submodule.sup_smul 0.220640 s: submodule.semimodule_submodule 0.256043 s: submodule.semimodule_submodule.equations._eqn_1 0.027213 s: turing.TM2to1.Λ'.ret.inj_eq 0.001198 s: category_theory.functor.map_Mat__obj_ι 0.001045 s: category_theory.thin_skeleton.is_skeleton_of_inhabited.equations._eqn_1 0.000377 s: char_p.rec_on 0.001761 s: mul_equiv.to_Semigroup_iso.equations._eqn_1 0.234339 s: interval_integral.deriv_within_integral_right 0.000354 s: conj_classes.has_one.equations._eqn_1 0.030863 s: matrix.block_diagonal_transpose 0.000181 s: bifunctor.sizeof 0.000077 s: bifunctor.has_sizeof_inst 0.000169 s: bitraversable.sizeof 0.001335 s: bitraversable.mk.sizeof_spec 0.128150 s: real.ext_cauchy 0.000974 s: pfunctor.approx.s_corec._main.equations._eqn_2 0.016356 s: subring.coe_supr_of_directed 0.002231 s: isometric.mul_apply 0.000062 s: rat.has_le.equations._eqn_1 0.002933 s: pgame.move_right_short.equations._eqn_1 0.000105 s: arity.equations._eqn_2 0.002520 s: linear_ordered_semiring.decidable_lt._default 0.004777 s: linear_ordered_semiring.decidable_lt._default.equations._eqn_1 0.070087 s: affine.simplex.circumradius_pos 0.016624 s: tactic_doc._3680819082 0.542237 s: polynomial.gal.map_roots.equations._eqn_1 0.005297 s: with_bot.coe_le 0.003544 s: list.alternating_prod_cons_cons 0.000292 s: filter.realizer.cofinite._proof_2 0.002919 s: filter.realizer.cofinite 0.011365 s: has_sum_sum 0.001405 s: tsum_sum 0.000996 s: subfield.mem_closure_iff 0.003723 s: AddCommGroup.normal_epi.equations._eqn_1 0.000316 s: complex.cpow_neg_one 0.002873 s: category_theory.lifted_colimit_is_colimit.equations._eqn_1 0.001309 s: quotient_group.fintype.equations._eqn_1 0.007245 s: is_R_or_C.abs_of_nat 0.000284 s: list.span._sunfold 0.000357 s: with_bot.has_lt.equations._eqn_1 0.000726 s: num.decidable_lt._main.equations._eqn_1 0.000168 s: num.decidable_lt.equations._eqn_1 0.000661 s: category_theory.limits.walking_pair.swap_symm_apply_tt 0.000056 s: int.nonneg_of_pos 0.025249 s: semi_normed_space.restrict_scalars.equations._eqn_1 0.000601 s: ring_equiv.ext_iff 0.008455 s: category_theory.with_initial.incl_lift_inv_app 0.002369 s: game.not_le 0.001302 s: add_action.mk.inj 0.000643 s: add_action.mk.inj_arrow 0.001734 s: polynomial.reverse_neg 0.000730 s: polynomial.nat_trailing_degree_neg 0.002048 s: polynomial.mirror_neg 0.000111 s: fin.mk.inj_iff 0.000110 s: lists'.nil.inj_arrow 0.007971 s: category_theory.biprod.gaussian'.equations._eqn_1 0.002149 s: equiv.pi_equiv_subtype_sigma.equations._eqn_1 0.000241 s: category_theory.limits.wide_pushout_shape.hom.init.sizeof_spec 0.000705 s: category_theory.sum.associator_obj_inr 0.001380 s: monoid_algebra.comm_ring._proof_12 0.000061 s: int.quot.equations._eqn_4 0.000787 s: set.Ico_subset_Iio_self 0.006593 s: category_theory.presieve.is_sheaf_pretopology 0.000238 s: set.infinite_of_infinite_image 0.003437 s: submonoid.localization_map.symm_comp_of_mul_equiv_of_localizations_apply' 0.000381 s: Ioo_mem_nhds_within_Ici 0.001414 s: category_theory.subobject.factor_thru_comp_arrow 0.015841 s: category_theory.equivalence.mk'.sizeof_spec 0.000031 s: tactic.explode.status.reg.inj 0.000025 s: tactic.explode.status.reg.inj_arrow 0.001715 s: galois_insertion.monotone_intro.equations._eqn_1 0.001043 s: equiv.perm.same_cycle.symm 0.002997 s: set.mk_preimage_prod_left_eq_if 0.000177 s: pnat.add_comm_semigroup._proof_1 0.004168 s: measure_theory.Lp.normed_group_Ltop.equations._eqn_1 0.001050 s: order_dual.semilattice_inf_top._proof_8 0.000549 s: free_group.sum.equations._eqn_1 0.045158 s: is_primitive_root.neg_one 0.081801 s: polynomial.cyclotomic'_two 0.000070 s: linarith.ineq.max.equations._eqn_5 0.000163 s: cont_t.has_monad_lift 0.000161 s: cont_t.has_monad_lift.equations._eqn_1 0.000402 s: set.countable.equations._eqn_1 0.000183 s: add_equiv.to_multiplicative._proof_1 0.000251 s: add_equiv.to_multiplicative._proof_2 0.030164 s: add_equiv.to_multiplicative._proof_7 0.010793 s: add_equiv.to_multiplicative 0.000413 s: is_group_hom.inv 0.000851 s: category_theory.limits.has_pushouts_of_has_binary_coproducts_of_has_coequalizers 0.000367 s: is_adic_complete.cases_on 0.000095 s: vm_obj_kind.name.sizeof_spec 0.001534 s: category_theory.limits.mono_factorisation.comp_mono_m 0.000098 s: triv_sq_zero_ext.has_neg 0.002353 s: triv_sq_zero_ext.inr_neg 0.001036 s: ordnode.bounded._main.equations._eqn_3 0.000371 s: ordnode.bounded.equations._eqn_3 0.003554 s: small_Pi 0.001925 s: small_Pi.equations._eqn_1 0.006350 s: complex.mk_eq_add_mul_I 0.028356 s: is_primitive_root.zmod_equiv_gpowers_symm_apply_pow 0.007476 s: is_add_group_hom.image_add_subgroup._match_1.equations._eqn_1 0.000153 s: fp.float.is_finite._main.equations._eqn_3 0.000102 s: slim_check.test_result.gave_up.inj_eq 0.028487 s: witt_vector.neg_is_poly 0.012334 s: linear_map.comp_cod_restrict 0.001350 s: Gromov_Hausdorff.rep_GH_space_compact_space.equations._eqn_1 0.001538 s: Top.continuous_prelocal_pred 0.005276 s: lie_subalgebra.bot_coe_submodule 0.001958 s: seminorm.mk.inj_arrow 0.000137 s: turing.inhabited_tm2_computable.equations._eqn_1 0.000452 s: equiv.integral_domain._proof_4 0.004001 s: submodule.prod_map_snd 0.002108 s: ordinal.partial_order._match_2.equations._eqn_1 0.000952 s: category_theory.functor.to_cocone_X 0.001229 s: monad_io_process.mk.sizeof_spec 0.002746 s: submodule.range_fst 0.000458 s: padic_int.norm_units 0.000158 s: is_metric_separated.union_right 0.000455 s: is_modular_lattice.drec 0.094772 s: finset.center_mass_empty 0.000532 s: category_theory.with_initial.map._match_1.equations._eqn_1 0.000190 s: with_zero.lattice.equations._eqn_1 0.041370 s: multilinear_map.curry_sum.equations._eqn_1 0.016498 s: topological_add_group.of_nhds_zero 0.002447 s: topological_add_group.of_comm_of_nhds_zero 0.002834 s: nat.bit_lt_bit 0.000872 s: category_theory.limits.preserves_colimits_of_shape.rec_on 0.000288 s: Profinite.to_CompHaus.creates_limits 0.002991 s: category_theory.functor.punit_ext' 0.000280 s: is_add_group_hom.id.equations._eqn_1 0.005378 s: differentiable_within_at.inner 0.003169 s: differentiable_on.inner 0.003007 s: free_add_monoid.map.equations._eqn_1 0.000116 s: num.div._sunfold 0.011928 s: nat.even_xor_odd' 0.080648 s: convex_on.comp_linear_map 0.210653 s: affine_map.of_map_midpoint._proof_5 0.026001 s: homeomorph.image.equations._eqn_1 0.000269 s: vector_allp.equations._eqn_1 0.000097 s: pmf.map 0.000217 s: pmf.bind_pure_comp 0.000478 s: ctop.realizer.id._proof_1 0.003412 s: category_theory.limits.preserves_pullback.of_iso_comparison._proof_1 0.007663 s: category_theory.limits.preserves_pullback.of_iso_comparison 0.008131 s: category_theory.limits.preserves_pullback.of_iso_comparison.equations._eqn_1 0.002402 s: matrix.unitary_group.one_val 0.005598 s: char_eq_exp_char_iff 0.180100 s: normal.dcases_on 0.000511 s: category_theory.preadditive.has_coequalizers_of_has_cokernels 0.000122 s: category_theory.abelian.has_coequalizers 0.024198 s: model_with_corners.mk.inj_eq 0.000831 s: list.last._main.equations._eqn_2 0.000274 s: list.last.equations._eqn_2 0.000616 s: ordnode.has_mem 0.000588 s: ordnode.mem.decidable 0.004479 s: onote.NF_power_aux._main.equations._eqn_4 0.023629 s: subfield.comap_top 0.000400 s: shelf.mk.inj 0.000312 s: shelf.mk.inj_arrow 0.005197 s: smooth_map_ring._proof_14 0.000212 s: Profinite.to_CompHaus.creates_limits.equations._eqn_1 0.003454 s: deriv_within_smul 0.001595 s: int.mod_mod_of_dvd 0.090244 s: measure_theory.L1.simple_func.pos_part.equations._eqn_1 0.026075 s: filter.tendsto_at_bot_of_add_bdd_below_right' 0.000815 s: int.div_add_mod' 0.006120 s: fin.nat_add.equations._eqn_1 0.001564 s: measure_theory.measure.measurable_measure 0.002048 s: category_theory.limits.cocones.whiskering_equivalence_functor 0.001504 s: category_theory.concrete_category.has_coe_to_fun_Type 0.000757 s: parser.err_static.seq 0.000393 s: sym2.equiv_multiset 0.000127 s: nat.coprime.gcd_mul 0.000817 s: pnat.coprime.gcd_mul 0.040048 s: algebraic_geometry.PresheafedSpace.to_restrict_top.equations._eqn_1 0.010353 s: mul_lt_right' 0.002770 s: pow_lt_pow_succ 0.000812 s: pow_lt_pow' 0.005548 s: polynomial.monic.as_sum 0.067846 s: valuation.integers.mem_of_integral 0.000050 s: auto.case_option.accept.inj_arrow 0.010276 s: set.bdd_above_add 0.002369 s: prod.add_action._match_1 0.000400 s: psum.alt.sizeof._main.equations._eqn_1 0.002103 s: measure_theory.simple_func.bind_const 0.006770 s: dfinsupp.smul_comm_class.equations._eqn_1 0.000810 s: Module.colimits.prequotient.neg.sizeof_spec 0.000181 s: ordnode.amem.equations._eqn_1 0.000499 s: is_unit_map_iff 0.002021 s: d_array.rev_iterate_aux._main.equations._eqn_2 0.000109 s: surreal.mk 0.000138 s: surreal.mk.equations._eqn_1 0.003375 s: fin_succ_equiv'_at 0.004171 s: category_theory.category_of_elements.structured_arrow_equivalence_functor_obj_hom 0.000066 s: tactic.suggest.head_symbol_match.mp.inj_eq 0.001541 s: subrel.rel_embedding_apply 0.006222 s: dfinsupp.zip_with.equations._eqn_1 0.000826 s: nat.log_one_eq_zero 0.001239 s: localization_map.mk'_self'' 0.000632 s: cochain_complex.cohomology 0.000541 s: pos_num.lxor._main.equations._eqn_9 0.024923 s: lucas_lehmer.X.X_card 0.000485 s: card_units_lt 0.012878 s: lucas_lehmer.X.units_card 0.001981 s: cardinal.mk_bUnion_le 0.006089 s: submodule.nat_power_direct_sum_gmonoid._proof_1 0.002244 s: submodule.nat_power_direct_sum_gmonoid 0.002275 s: submodule.nat_power_direct_sum_gmonoid.equations._eqn_1 0.000323 s: category_theory.limits.is_image.inhabited 0.000480 s: Top.topological_space_unbundled.equations._eqn_1 0.003096 s: parser.bounded.orelse 0.048977 s: has_strict_deriv_at.to_local_left_inverse 0.008395 s: continuous_map.comp_right_continuous_map_apply 0.010548 s: subalgebra.no_zero_smul_divisors_bot.equations._eqn_1 0.026024 s: AddCommGroup.adj 0.004446 s: category_theory.is_filtered_or_empty.drec_on 0.005784 s: category_theory.limits.cofork.of_π.equations._eqn_1 0.000044 s: option.has_variable_names 0.000050 s: turing.partrec_to_TM2.K'.main.inj_eq 0.000607 s: hash_map.rec_on 0.002196 s: subring.inclusion 0.000941 s: setoid.gi.equations._eqn_1 0.000115 s: set.insert.equations._eqn_1 0.002250 s: monoid_hom.restrict_apply 0.000129 s: tactic.itauto.prop.and'.inj_arrow 0.000276 s: parser.bounded.many_char1.equations._eqn_1 0.000151 s: expr_lens.dir.no_confusion 0.000181 s: expr_lens.dir.decidable_eq 0.001941 s: convex_cone.mk.sizeof_spec 0.002308 s: is_noetherian_of_quotient_of_noetherian 0.000692 s: category_theory.limits.equalizer_subobject.equations._eqn_1 0.000205 s: add_right_embedding.equations._eqn_1 0.000255 s: fp.float_cfg.mk.inj_arrow 0.383377 s: affine.triangle.dist_orthocenter_reflection_circumcenter_finset 0.000356 s: simple_graph.edge_finset.equations._eqn_1 0.000195 s: lift_trans 0.000164 s: lift_trans.equations._eqn_1 0.004216 s: filter.exists_le_of_tendsto_at_bot 0.000058 s: string.has_le.equations._eqn_1 0.000197 s: function.embedding.mk.inj_arrow 0.004767 s: add_subgroup.mk.inj_eq 0.021321 s: module.real_complex_tower.equations._eqn_1 0.002917 s: infinite.nontrivial._match_1.equations._eqn_1 0.001026 s: free_add_semigroup.add_map_seq 0.001883 s: free_add_semigroup.is_lawful_traversable._proof_2 0.000657 s: free_add_semigroup.traverse_pure' 0.001485 s: free_add_semigroup.traverse_add' 0.006843 s: free_add_semigroup.is_lawful_traversable._proof_3 0.004680 s: free_add_semigroup.is_lawful_traversable._proof_4 0.000822 s: free_add_semigroup.is_lawful_traversable 0.000381 s: free_add_semigroup.is_lawful_traversable.equations._eqn_1 0.001334 s: category_theory.limits.has_zero_object.mk.sizeof_spec 0.005728 s: subalgebra.topological_closure_topological_algebra 0.001062 s: parser.err_static.mmap'_of_unfailing._main.equations._eqn_1 0.000413 s: parser.err_static.mmap'_of_unfailing.equations._eqn_1 0.000188 s: category_theory.limits.walking_parallel_pair_hom.id.sizeof_spec 0.001975 s: category_theory.limits.cocones.forget_map 0.044477 s: continuous_linear_equiv.equiv_of_right_inverse._match_1.equations._eqn_1 0.013977 s: submonoid.topological_closure_minimal 0.001785 s: vadd_comm_class_self.equations._eqn_1 0.001113 s: fin_enum.finset.enum._main.equations._eqn_1 0.000118 s: fin_enum.finset.enum.equations._eqn_1 0.005882 s: fin_enum.finset.mem_enum 0.000873 s: fin_enum.finset.fin_enum._proof_1 0.000142 s: fin_enum.finset.fin_enum 0.001269 s: Gromov_Hausdorff.aux_gluing_struct.mk.sizeof_spec 0.000077 s: Group.equations._eqn_1 0.001553 s: fin.sum_univ_def 0.000983 s: is_closed.is_closed_le 0.000667 s: submodule.has_bot.equations._eqn_1 0.001489 s: category_theory.biprod.unipotent_upper_inv 0.003582 s: category_theory.limits.fork.mk_hom_hom 0.000591 s: category_theory.comonad.coalgebra.hom.comp.equations._eqn_1 0.000792 s: ring_hom.map_multiset_sum 0.001742 s: category_theory.limits.reflects_colimit_subsingleton.equations._eqn_1 0.001282 s: SemiRing.bundled_hom.equations._eqn_1 0.027058 s: linear_pmap.map_neg 0.003473 s: ultrafilter_compact.equations._eqn_1 0.002711 s: charted_space.lift_prop_on.equations._eqn_1 0.000478 s: charted_space.lift_prop.equations._eqn_1 0.001442 s: structure_groupoid.lift_prop_on_univ 0.002837 s: category_theory.limits.is_limit_id_fork.equations._eqn_1 0.003267 s: algebra.adjoin.equations._eqn_1 0.002723 s: category_theory.sieve.galois_coinsertion_of_mono._proof_1 0.000027 s: pos.has_sizeof_inst 0.031058 s: strict_mono_incr_on.continuous_at_left_of_image_mem_nhds_within 0.018569 s: category_theory.limits.types.filtered_colimit.is_colimit_of 0.008928 s: category_theory.limits.types.filtered_colimit.is_colimit_of.equations._eqn_1 0.000433 s: multiplicative.ordered_cancel_comm_monoid._proof_11 0.000022 s: norm_cast.label.squash.inj 0.006420 s: Algebra.has_limits.limit_cone.equations._eqn_1 0.005255 s: linear_map.comp_right._proof_5 0.005255 s: basic_smooth_bundle_core.no_confusion 0.008323 s: basic_smooth_bundle_core.mk.inj 0.009298 s: basic_smooth_bundle_core.mk.inj_arrow 0.000059 s: pgame.subsingleton_short 0.008967 s: pgame.subsingleton_short._main.equations._eqn_1 0.007870 s: pgame.subsingleton_short.equations._eqn_1 0.000178 s: sSet.inhabited 0.000093 s: slim_check.is_failure._sunfold 0.005913 s: subring.gi.equations._eqn_1 0.000789 s: measurable_equiv.prod_assoc 0.000892 s: measurable_equiv.prod_assoc.equations._eqn_1 0.003679 s: ennreal.one_le_rpow_of_pos_of_le_one_of_neg 0.001117 s: set.sub_mem_Ico_iff_left 0.000046 s: real.ring.equations._eqn_1 0.003088 s: times_cont_mdiff.comp_times_cont_mdiff_on 0.000851 s: turing.TM2to1.st_run._main.equations._eqn_1 0.000584 s: turing.TM2to1.st_run.equations._eqn_1 0.000292 s: d_array.fintype 0.000128 s: array.fintype 0.000205 s: pSet.definable.rec_on 0.004906 s: set.Ioc_inter_Ioc 0.000031 s: bitvec.sge 0.003815 s: pnat.case_strong_induction_on 0.002547 s: pfunctor.M.corec_unique 0.000170 s: pochhammer_eval_eq_factorial_div_factorial 0.000139 s: localization.away.inv_self._proof_1 0.000332 s: localization.away.inv_self 0.000089 s: list.head'._sunfold 0.001625 s: distrib_mul_action_hom.mk.inj 0.012541 s: category_theory.pi.comap_comp.equations._eqn_1 0.001739 s: ideal.radical.equations._eqn_1 0.001823 s: std_split._main.equations._eqn_1 0.003387 s: subfield.mem_map 0.000865 s: subfield.mem_top 0.001954 s: ring_hom.field_range_eq_map 0.001116 s: ring_hom.map_field_range 0.000431 s: t2_space.drec 0.000045 s: int.sub.equations._eqn_1 0.000638 s: equiv.perm.decompose_option_apply 0.014899 s: category_theory.liftable_cone.mk.inj_eq 0.000249 s: algebraic_geometry.LocallyRingedSpace.to_Top.equations._eqn_1 0.000167 s: adjoin_root.inhabited 0.006411 s: category_theory.adjunction.is_equivalence_creates_limits.equations._eqn_1 0.050248 s: linear_map.smul_rightₗ_apply 0.005977 s: subtype.map_comp 0.004863 s: category_theory.nat_trans.mk.sizeof_spec 0.002515 s: submonoid.map_le_of_le_comap 0.002863 s: inv_mul_lt_iff_lt_mul_right 0.000060 s: nat.gcd_le_right 0.075506 s: is_galois.intermediate_field_equiv_subgroup.equations._eqn_1 0.019347 s: filter.map_const_principal_coprod_map_id_principal 0.000923 s: measure_theory.measure.ext_iff_of_Union_eq_univ 0.000189 s: measure_theory.measure.ext_of_Union_eq_univ 0.001477 s: subgroup.is_cyclic._match_3 0.001523 s: subgroup.is_cyclic._match_3.equations._eqn_1 0.001062 s: category_theory.limits.has_equalizers_of_pullbacks_and_binary_products.equalizer_cone.equations._eqn_1 0.004134 s: category_theory.structured_arrow.iso_mk_hom_right 0.000340 s: complete_space.dcases_on 0.000059 s: ordnode.drop_while 0.000510 s: ordnode.drop_while._main.equations._eqn_1 0.000095 s: ordnode.drop_while.equations._eqn_1 0.000763 s: locally_constant.has_div.equations._eqn_1 0.000123 s: fin2.is_lt.no_confusion_type 0.000184 s: fin2.is_lt.no_confusion 0.004915 s: finset.prod_eq_prod_Ico_succ_bot 0.000770 s: pequiv.mk.sizeof_spec 0.050243 s: linear_map.sum_of_conjugates_equivariant.equations._eqn_1 0.000691 s: category_theory.graded_object.category_theory.concrete_category 0.000100 s: category_theory.graded_object.category_theory.has_forget₂._proof_1 0.000040 s: category_theory.graded_object.category_theory.has_forget₂._proof_3 0.000265 s: category_theory.graded_object.category_theory.has_forget₂._proof_4 0.010208 s: category_theory.graded_object.category_theory.has_forget₂ 0.004560 s: category_theory.graded_object.category_theory.has_forget₂.equations._eqn_1 0.000362 s: module.dual.inhabited 0.000777 s: module.dual.inhabited.equations._eqn_1 0.000620 s: open_subgroup.semilattice_sup_top._proof_3 0.000675 s: fintype.of_surjective.equations._eqn_1 0.000113 s: add_con.quotient.equations._eqn_1 0.000543 s: pos_num.pred'_succ' 0.001832 s: order_bot.rec_on 0.003954 s: units.to_Aut_inv 0.000629 s: category_theory.discrete.equiv_of_equivalence.equations._eqn_1 0.064204 s: lie_module.infi_max_gen_zero_eigenspace_eq_top_of_nilpotent 0.027264 s: cardinal.bit1_le_bit1 0.000357 s: stream.nth_drop 0.005876 s: lie_submodule.zero_mem 0.000319 s: lists.mem._sunfold 0.000755 s: set.mul_indicator_empty 0.073095 s: euclidean_domain.gcd_mul_lcm 0.001997 s: set.singleton_smul 0.000862 s: normed_group_hom.inhabited.equations._eqn_1 0.013221 s: seminorm.sizeof 0.000200 s: seminorm.has_sizeof_inst 0.024808 s: continuous_multilinear_map.restrict_scalars.equations._eqn_1 0.033189 s: function.injective.domain.equations._eqn_1 0.000636 s: is_extr_on.comp_mono 0.000433 s: category_theory.comonad.simps.ε 0.003478 s: model_with_corners.continuous_at_symm 0.000411 s: pprod.mk.inj 0.010171 s: mul_aut.to_perm 0.004034 s: category_theory.faithful.comp.equations._eqn_1 0.000858 s: list.eq_nil_of_map_eq_nil 0.000160 s: int.mod_mul_right_mod 0.001107 s: monotone.add_strict_mono 0.000466 s: strict_mono.const_add 0.090451 s: real.differentiable_at_arctan 0.000098 s: ematch_config.rec_on 0.000667 s: semi_normed_group.no_confusion 0.012227 s: semi_normed_group.mk.inj 0.006121 s: linear_ordered_comm_group_with_zero.decidable_lt._default.equations._eqn_1 0.007523 s: category_theory.functor.closed_sieves.equations._eqn_1 0.000384 s: open_add_subgroup.has_coe_set.equations._eqn_1 0.005379 s: list.pmap_map 0.582028 s: ideal.module_pi.equations._eqn_1 0.000743 s: subalgebra_of_subring.equations._eqn_1 0.000064 s: unit.fintype.equations._eqn_1 0.000185 s: commute.inv_left_iff 0.000347 s: compare_reals.compare_equiv.equations._eqn_1 0.428008 s: _private.3898214611.induced_equiv.equations._eqn_1 0.008275 s: list.prod_hom_rel 0.001677 s: multiset.prod_hom_rel 0.001318 s: measurable_space.dynkin_system.generate_has.dcases_on 0.002985 s: traversable.mfoldr.of_free_monoid_comp_free_mk 0.001044 s: order_iso.Ici_bot._proof_3 0.006318 s: inf_infi_nat_succ 0.000241 s: parser.sep_by1.equations._eqn_1 0.000526 s: function.decidable_eq_pfun.equations._eqn_1 0.000365 s: open_add_subgroup.semilattice_sup_top._proof_4 0.000331 s: open_add_subgroup.semilattice_sup_top._proof_5 0.000365 s: open_add_subgroup.semilattice_sup_top._proof_6 0.000406 s: open_add_subgroup.semilattice_sup_top._proof_8 0.010345 s: open_add_subgroup.semilattice_sup_top._proof_9 0.023120 s: open_add_subgroup.semilattice_sup_top._proof_10 0.028512 s: open_add_subgroup.semilattice_sup_top._proof_11 0.015515 s: open_add_subgroup.semilattice_sup_top 0.015438 s: open_add_subgroup.semilattice_sup_top.equations._eqn_1 0.000309 s: omega.int.preform.or.inj_eq 0.000168 s: has_lift.sizeof 0.000062 s: has_lift.has_sizeof_inst 0.006086 s: category_theory.over.construct_products.cones_equiv_unit_iso_2 0.000463 s: category_theory.limits.limit_cone.sizeof 0.000557 s: category_theory.limits.limit_cone.mk.sizeof_spec 0.000121 s: seq1.equations._eqn_1 0.000890 s: category_theory.limits.inhabited_cocone_morphism 0.001246 s: category_theory.limits.inhabited_cocone_morphism.equations._eqn_1 0.000710 s: category_theory.limits.reflects_limits_of_shape_of_reflects_limits.equations._eqn_1 0.001671 s: AddCommGroup.image.equations._eqn_1 0.001825 s: dfinsupp.erase_ne 0.000109 s: lists.inhabited 0.000077 s: lists.inhabited.equations._eqn_1 0.001799 s: local_homeomorph.eq_on_source.symm_eq_on_target 0.008734 s: preorder_hom.prod.zip_to_fun 0.000163 s: subfield.inhabited 0.004858 s: equiv.equiv_congr_refl_left 0.000338 s: finset.range_coe 0.000073 s: add_comm_semigroup.has_sizeof_inst 0.005797 s: pgame.short_neg._main._pack.equations._eqn_1 0.002319 s: pgame.short_neg._main.equations._eqn_1 0.001076 s: star_monoid.rec_on 0.003775 s: typevec.drop_fun_from_append1_drop_last 0.003448 s: cau_seq.preorder._match_1.equations._eqn_2 0.001937 s: isometric.add_right_apply 0.000553 s: probability_theory.indep_fun 0.003224 s: set.inter_indicator_mul 0.005751 s: ennreal.supr_mul 0.017968 s: probability_theory.lintegral_mul_indicator_eq_lintegral_mul_lintegral_indicator 0.000365 s: probability_theory.indep_sets_of_indep_sets_of_le_right 0.010163 s: probability_theory.lintegral_mul_eq_lintegral_mul_lintegral_of_independent_measurable_space 0.003289 s: probability_theory.lintegral_mul_eq_lintegral_mul_lintegral_of_indep_fun 0.005152 s: measurable_equiv.set.range_inl.equations._eqn_1 0.001401 s: finset.inter_val_nd 0.020043 s: quaternion.conj_add_self 0.122030 s: power_series.inv_units_sub_mul_sub 0.000162 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_pairwise_intersections._proof_2 0.014379 s: tactic.ring2.correctness 0.004171 s: order_bot.lower_bounds_univ 0.056940 s: quaternion.of_complex.equations._eqn_1 0.000117 s: omega_complete_partial_order.continuous_hom.has_sizeof_inst 0.001513 s: simple_graph.matching.mk.sizeof_spec 0.024953 s: lie_ideal.map_coe_submodule 0.011938 s: lie_ideal.comap_map_eq 0.003359 s: category_theory.sigma.nat_trans.equations._eqn_1 0.003609 s: right_ord_continuous.comp 0.011129 s: ring_equiv_iso_Ring_iso._proof_1 0.001991 s: measure_theory.frequently_ae_iff 0.001633 s: ring_equiv.to_opposite_symm_apply 0.000207 s: monad_io_environment.cases_on 0.000354 s: monad_io_environment.no_confusion_type 0.000878 s: monad_io_environment.no_confusion 0.007577 s: category_theory.limits.image_map.mk.inj 0.004349 s: category_theory.limits.image_map.mk.inj_arrow 0.009310 s: category_theory.limits.image_map.ext_iff 0.001365 s: list.Ico.chain'_succ 0.000221 s: is_preconnected_Ici 0.000235 s: is_order_right_adjoint.equations._eqn_1 0.000360 s: isometric.diam_univ 0.114142 s: category_theory.grothendieck.grothendieck_Type_to_Cat._proof_6 0.000119 s: has_Inf.rec_on 0.030912 s: restrict_scalars.is_scalar_tower.equations._eqn_1 0.000111 s: holor.inhabited 0.000104 s: holor.inhabited.equations._eqn_1 0.000203 s: quiver.weakly_connected_component.inhabited.equations._eqn_1 0.001031 s: set.inv_mem_Ico_iff 0.001353 s: subgroup.mk.inj_arrow 0.003234 s: function.surjective.comm_monoid_with_zero._proof_1 0.004633 s: function.surjective.comm_monoid_with_zero._proof_4 0.002117 s: function.surjective.comm_monoid_with_zero._proof_6 0.000627 s: function.surjective.comm_monoid_with_zero._proof_8 0.003149 s: function.surjective.comm_monoid_with_zero 0.005391 s: function.surjective.comm_monoid_with_zero.equations._eqn_1 0.000528 s: mul_hom.congr_fun 0.011440 s: sSet.horn.equations._eqn_1 0.002941 s: finsupp.prod_map_range_index 0.000872 s: is_coatomistic.drec 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polynomial.splitting_field_aux.inhabited.equations._eqn_1 0.002530 s: prod.lex.is_well_order._match_5.equations._eqn_1 0.000301 s: nat.pred_eq_ppred 0.003035 s: nat.sub_eq_psub 0.005179 s: smooth_monoid_morphism.has_one.equations._eqn_1 0.010019 s: matrix.neg_mul_vec 0.000064 s: fin2.insert_perm.equations._eqn_1 0.000947 s: pgame.short.binduction_on 0.000305 s: ordnode.disjoint.equations._eqn_4 0.000280 s: expr.coord.repr._main.equations._eqn_2 0.000122 s: relator.rel_iff 0.000052 s: tactic.rewrite_search.side.L.sizeof_spec 0.000232 s: rbnode.balance2._main.equations._eqn_1 0.000330 s: rbnode.balance2.equations._eqn_1 0.013499 s: measure_theory.mem_ℒp.to_Lp_add 0.000858 s: field_of_integral_domain._proof_21 0.000034 s: tactic.unfold_proj_config.to_dsimp_config 0.000237 s: primcodable.prod.equations._eqn_1 0.007744 s: category_theory.limits.is_colimit.rec_on 0.003788 s: function.injective.add_cancel_comm_monoid._proof_1 0.001313 s: function.injective.add_cancel_comm_monoid._proof_2 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rack.envel_group.div_inv_monoid._match_3.equations._eqn_1 0.004332 s: function.injective.smul_with_zero._proof_1 0.001657 s: function.injective.smul_with_zero 0.063113 s: differentiable_at.fderiv_within_prod 0.006303 s: category_theory.bundled.coe_mk 0.000298 s: vadd_comm_class.symm 0.034326 s: nat.digits._sunfold 0.000094 s: nonneg_add_comm_group.to_linear_ordered_add_comm_group._proof_14 0.000337 s: category_theory.arrow.has_lift.cases_on 0.000753 s: SemiRing.forget₂_Mon_preserves_limits 0.000084 s: surreal.equiv 0.000221 s: surreal.equiv.equations._eqn_1 0.007517 s: star_ring.mk.inj 0.036729 s: ordered_comm_semiring.mk.inj_arrow 0.000795 s: category_theory.limits.has_zero_object.category_theory.iso.subsingleton.equations._eqn_1 0.000054 s: category_theory.limits.category_theory.discrete.has_colimits._aux_1 0.007259 s: category_theory.limits.category_theory.discrete.has_colimits._aux_2 0.004452 s: category_theory.limits.category_theory.discrete.has_colimits._aux_3 0.002770 s: category_theory.limits.category_theory.discrete.has_colimits._aux_4 0.010077 s: category_theory.limits.category_theory.discrete.has_colimits 0.000378 s: subring.has_bot.equations._eqn_1 0.001993 s: add_con.to_add_submonoid_inj 0.000792 s: submonoid.comap_strict_mono_of_surjective 0.085719 s: coinduced_supr 0.017737 s: mv_polynomial.acounit_C 0.001265 s: list.zip_left_cons_nil 0.002067 s: option.choice_eq 0.011142 s: category_theory.yoneda_evaluation_map_down 0.000172 s: ctop.to_topsp.equations._eqn_1 0.000121 s: rbnode.balance1_node._sunfold 0.000082 s: irreflexive.equations._eqn_1 0.000243 s: array.reverse.equations._eqn_1 0.000088 s: simplex_category.mk.equations._eqn_1 0.011048 s: finset.comp_inf_eq_inf_comp 0.015516 s: monotone.map_inf 0.004916 s: finset.comp_inf_eq_inf_comp_of_is_total 0.210030 s: normal.drec 0.485745 s: uniformity_basis_dist_pow_of_lt_1 0.029260 s: category_theory.limits.has_limit.iso_of_nat_iso.equations._eqn_1 0.001152 s: continuous_map.has_add.equations._eqn_1 0.000343 s: set.finset.can_lift.equations._eqn_1 0.000135 s: holor.assoc_right 0.002214 s: quotient.lift_on₂.equations._eqn_1 0.005584 s: Meas.Integral.equations._eqn_1 0.000966 s: zmod.fintype._main.equations._eqn_2 0.000210 s: option_t.monad_except.equations._eqn_1 0.000502 s: AddMon.has_limits.equations._eqn_1 0.002503 s: vector_all._main.equations._eqn_2 0.000120 s: vector_all.equations._eqn_2 0.000772 s: category_theory.equivalence.unop_functor 0.001039 s: mul_lt_of_le_of_lt_one 0.009924 s: is_R_or_C.conj_bit0 0.000047 s: tactic.suggest.head_symbol_match.ex.inj_eq 0.004334 s: int.comm_ring.equations._eqn_1 0.000768 s: category_theory.grothendieck.forget_obj 0.006402 s: category_theory.functor.const.op_obj_op.equations._eqn_1 0.000672 s: omega.nat.preform.repr._main.equations._eqn_2 0.000105 s: omega.nat.preform.repr.equations._eqn_2 0.004647 s: canonically_ordered_comm_semiring.no_confusion 0.013829 s: canonically_ordered_comm_semiring.mk.inj 0.023214 s: canonically_ordered_comm_semiring.mk.inj_arrow 0.003779 s: is_local_max.bicomp_mono 0.000488 s: tree.get._main.equations._eqn_1 0.000254 s: finset.has_inter.equations._eqn_1 0.000814 s: order.is_ideal_iff 0.000054 s: tactic.itauto.proof.or_imp_right.inj_arrow 0.001044 s: normalization_monoid_of_unique_units.equations._eqn_1 0.000050 s: tactic.abel.normalize_mode.raw.sizeof_spec 0.003408 s: subtype.regular_space 0.003291 s: subtype.regular_space.equations._eqn_1 0.000547 s: add_units.add_neg_of_eq 0.015850 s: field.mk.inj_arrow 0.001354 s: ordnode.find_index_aux._main.equations._eqn_2 0.052661 s: is_galois.self 0.000819 s: primrec.option_bind₁ 0.000170 s: is_symm_op_of_is_symm 0.000205 s: is_symm_op_of_is_symm.equations._eqn_1 0.026627 s: generalized_continued_fraction.of_convergence 0.060908 s: tangent_map_comp_at 0.016460 s: tangent_map_comp 0.003466 s: category_theory.with_initial.map._match_2.equations._eqn_1 0.002466 s: sub_eq_of_eq_add' 0.043605 s: exterior_algebra.ι_left_inverse 0.000054 s: znum.div.equations._eqn_1 0.012732 s: category_theory.lax_monoidal.mk.inj 0.001314 s: list.head'_map 0.005056 s: direct_sum.of_smul 0.000548 s: polynomial.erase_lead_coeff_nat_degree 0.000163 s: category_theory.biprod.gaussian._proof_9 0.000887 s: Algebra.free_obj_carrier 0.001615 s: turing.evals_to.mk.inj_eq 0.000860 s: category_theory.functor.ess_image.get_iso.equations._eqn_1 0.002415 s: equiv.add_left_symm_apply 0.001303 s: nzsnum.drec'._main.equations._eqn_1 0.000180 s: omega.nat.preform.sub_free._main.equations._eqn_2 0.000037 s: omega.nat.preform.sub_free.equations._eqn_2 0.018334 s: category_theory.yoneda.equations._eqn_1 0.000419 s: category_theory.ess_surj.dcases_on 0.152692 s: measure_theory.L1.simple_func.integral_eq_lintegral 0.000463 s: mul_action_hom.rec_on 0.020250 s: pseudo_metric_space.mk.inj 0.005937 s: pseudo_metric_space.mk.inj_arrow 0.000050 s: tactic.apply_cfg.new_goals 0.001021 s: exp_char.drec_on 0.000455 s: set.subset_sUnion_of_subset 0.000228 s: list.alternating_prod.equations._eqn_3 0.000932 s: is_R_or_C.I_to_real 0.000655 s: mem_path_component_of_mem 0.000162 s: path_component_symm 0.000200 s: list.enum_from._sunfold 0.046891 s: Module.Mon_Module_equivalence_Algebra.inverse_obj_mul 0.008540 s: submodule.range_snd 0.000657 s: is_ωSup_ωSup 0.002014 s: omega_complete_partial_order.id_continuous' 0.013589 s: category_theory.symmetric_of_has_finite_products.equations._eqn_1 0.005335 s: category_theory.limits.equalizer_comparison_comp_π_assoc 0.000464 s: parser.step.one_of.equations._eqn_1 0.010153 s: multiplicity.multiplicity_sub_of_gt 0.257648 s: continuous_map.sup_eq 0.027260 s: category_theory.id_lifts_cocone 0.004353 s: category_theory.cocone_of_representable.equations._eqn_1 0.009027 s: is_lawful_bitraversable.flip._proof_3 0.001767 s: category_theory.limits.cones.functoriality_obj_X 0.004460 s: AddCommGroup.free_map_coe 0.000800 s: gpow._main.equations._eqn_1 0.000166 s: gpow.equations._eqn_1 0.005883 s: alternating_map.distrib_mul_action.equations._eqn_1 0.000373 s: category_theory.essentially_small.drec 0.002381 s: continuous_map.sup'_coe 0.006444 s: lie_subalgebra.lie_span_eq 0.372222 s: intermediate_field.finite_dimensional_right.equations._eqn_1 0.000227 s: tactic.itauto.proof.or_imp_left.sizeof_spec 0.020022 s: polynomial.restriction_zero 0.001452 s: finsupp.finite_lt_nat 0.000335 s: ordinal.is_equivalent._match_1.equations._eqn_1 0.000182 s: triv_sq_zero_ext.add_semigroup 0.000222 s: triv_sq_zero_ext.add_semigroup.equations._eqn_1 0.000541 s: turing.TM1.cfg.sizeof 0.000139 s: turing.TM1.cfg.has_sizeof_inst 0.000182 s: has_bot.rec_on 0.003156 s: intermediate_field.complete_lattice.equations._eqn_1 0.000229 s: ennreal.has_sub.equations._eqn_1 0.000648 s: simplex_category.hom.mk_to_preorder_hom_apply 0.000363 s: filter.germ.has_scalar.equations._eqn_1 0.090727 s: derivation.map_neg 0.012320 s: measure_theory.ae_eq_fun.coe_fn_div 0.003143 s: is_galois.of_alg_equiv 0.003544 s: pgame.relabel_move_right 0.005056 s: measure_theory.measure.ae.countable_Inter_filter.equations._eqn_1 0.000565 s: turing.TM1.stmt.move.inj_eq 0.000098 s: psum.has_sizeof_alt 0.002898 s: tensor_product.has_neg._match_1.equations._eqn_6 0.005703 s: measure_theory.measure.bind_zero_right 0.000286 s: measure_theory.measure.bind_zero_right' 0.002854 s: measure_theory.measure.prod_zero 0.000612 s: pgame.inv_ty.right₁.sizeof_spec 0.000920 s: free_algebra.lift_fun.equations._eqn_1 0.001066 s: topological_space.nhds_adjoint._match_2.equations._eqn_1 0.002591 s: category_theory.functor.map_biproduct_hom 0.000639 s: add_monoid_hom.iterate_map_sub 0.007662 s: ring_hom.iterate_map_sub 0.000883 s: pi.ordered_cancel_comm_monoid._proof_5 0.001330 s: shrinking_lemma.partial_refinement.sizeof 0.000194 s: shrinking_lemma.partial_refinement.has_sizeof_inst 0.000672 s: Gromov_Hausdorff.aux_gluing_struct.mk.inj_arrow 0.031248 s: category_theory.under.pushout.equations._eqn_1 0.000584 s: compact_space.sigma_compact.equations._eqn_1 0.010120 s: multiset.coe_inter 0.008443 s: typevec.drop_repeat._sunfold 0.008386 s: Top.limit_cone.equations._eqn_1 0.000312 s: matrix.dot_product_eq_iff 0.003735 s: real.exp_order_iso.equations._eqn_1 0.000685 s: set.ssubset_iff_of_subset 0.000761 s: set.Icc_ssubset_Icc_left 0.005364 s: category_theory.limits.cokernel_image_ι.equations._eqn_1 0.145797 s: polynomial.degree_lt_equiv._proof_1 0.000168 s: function.commute.comp_left 0.000611 s: mk_of_closure.equations._eqn_1 0.047494 s: is_simple_module.is_atom 0.009627 s: pgame.relabelling_move_left_aux.equations._eqn_1 0.000483 s: affine_map.of_map_midpoint._proof_2 0.002701 s: category_theory.cofinal.colimit_cocone_of_comp_cocone 0.037839 s: nnreal.has_sum_nat_add_iff 0.000475 s: list.mmap_accuml._sunfold 0.009567 s: category_theory.limits.cocones.functoriality_equivalence_functor 0.097598 s: fixed_points.finite_dimensional.equations._eqn_1 0.025689 s: _private.2907559739.normal_add_aux._match_1 0.001969 s: _private.2907559739.normal_add_aux._match_2 0.000186 s: int.fmod._sunfold 0.003847 s: polynomial.map.is_semiring_hom.equations._eqn_1 0.000714 s: option.join_eq_join 0.005124 s: structure_groupoid.order_bot._proof_5 0.000838 s: structure_groupoid.order_bot 0.000832 s: with_zero.canonically_ordered_add_monoid._proof_4 0.004361 s: has_fpower_series_on_ball.tendsto_uniformly_on' 0.000822 s: category_theory.epi.drec_on 0.088399 s: unique_diff_on_Icc_zero_one 0.103325 s: smooth_bump_covering.inhabited 0.101788 s: smooth_bump_covering.inhabited.equations._eqn_1 0.000421 s: simple_graph.locally_finite.equations._eqn_1 0.011646 s: category_theory.limits.prod.lift' 0.002608 s: set.left_mem_Ioo 0.003465 s: ennreal.not_mem_Ioo_self_sub 0.005450 s: category_theory.limits.wide_pullback_shape.diagram_iso_wide_cospan.equations._eqn_1 0.004651 s: geom_sum₂_one 0.001640 s: nat.partrec.code.binduction_on 0.000328 s: has_measurable_mul₂.dcases_on 0.002028 s: equiv.computable.trans 0.000839 s: computable.eqv 0.000439 s: computable.equiv₂ 0.000388 s: local_homeomorph.refl.equations._eqn_1 0.000409 s: simple_graph.dart.rev_rev 0.000143 s: simple_graph.dart.rev_involutive 0.012145 s: padic_int.normed_comm_ring._match_1.equations._eqn_1 0.001560 s: is_lawful_mvfunctor.rec_on 0.000836 s: of_mul_eq_zero 0.004595 s: add_order_of_of_mul_eq_order_of 0.000677 s: add_action.to_fun_apply 0.001590 s: comm_monoid_with_zero.no_confusion_type 0.005182 s: multiplicative.normal_subgroup 0.001427 s: emetric_space.mk.sizeof_spec 0.008060 s: is_R_or_C.abs_cast_nat 0.000342 s: omega_limit_inter 0.002443 s: category_theory.iso.conj.equations._eqn_1 0.001896 s: galois_coinsertion.lift_semilattice_sup.equations._eqn_1 0.000110 s: left_commutative.equations._eqn_1 0.000655 s: is_field.dcases_on 0.012175 s: list.rotate_eq_self_iff_eq_repeat 0.000056 s: real.semilattice_sup.equations._eqn_1 0.003183 s: category_theory.limits.is_colimit.desc_cocone_morphism.equations._eqn_1 0.000608 s: category_theory.ulift.up_obj_down 0.000091 s: sum.get_right 0.000284 s: sum.get_right._main.equations._eqn_2 0.000118 s: sum.get_right.equations._eqn_2 0.000066 s: tactic.interactive.case_tag.match_result.combine.equations._eqn_7 0.364222 s: inner_product_space.to_dual.equations._eqn_1 0.000135 s: list.transpose._sunfold 0.000203 s: string.iterator_imp.sizeof 0.000423 s: is_cond_left_inv.drec 0.000732 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_4 0.026252 s: sesq_form.rec_on 0.002060 s: monad_writer.mk.inj_arrow 0.000908 s: list.fill_nones._main.equations._eqn_3 0.110351 s: function.injective.linear_ordered_ring.equations._eqn_1 0.011746 s: filter.is_basis.drec 0.007929 s: continuous_of_Scott_continuous 0.026401 s: category_theory.limits.limit_lax_monoidal.equations._eqn_1 0.000055 s: format.color.cyan.inj_arrow 0.000622 s: decidable_lt_of_decidable_le.equations._eqn_1 0.014445 s: rand_nat._match_2.equations._eqn_1 0.000878 s: finsupp.equiv_fun_on_fintype_apply 0.001560 s: category_theory.limits.mono_factorisation.mk.inj_arrow 0.004561 s: pmf.filter_apply_eq_zero_of_not_mem 0.000189 s: hyperreal.infinite_neg_add_not_infinite 0.000593 s: encodable.mk.sizeof_spec 0.000443 s: matrix.tail_zero 0.001741 s: interval_integral.deriv_integral_of_tendsto_ae_left 0.005086 s: dfinsupp.distrib_mul_action.equations._eqn_1 0.000299 s: is_symm_op_of_is_commutative.equations._eqn_1 0.006823 s: category_theory.functor.equiv_functor_map 0.000484 s: unique_factorization_monoid.dcases_on 0.002566 s: equiv.coe_add_left 0.015062 s: matrix.cramer.equations._eqn_1 0.002702 s: int.preimage_Ioi 0.000989 s: disjoin_le 0.000334 s: category_theory.pairwise.hom.no_confusion_type 0.000638 s: category_theory.pairwise.hom.no_confusion 0.003073 s: category_theory.subobject.lower_equivalence_inverse 0.021419 s: padic_norm.div 0.002403 s: gpowers.is_subgroup._match_2.equations._eqn_1 0.000637 s: closure_operator.mk.inj_arrow 0.001875 s: multiset.normalize_lcm 0.004623 s: times_cont_diff_at.to_local_homeomorph.equations._eqn_1 0.005033 s: category_theory.subobject.small_coproduct_desc.equations._eqn_1 0.001024 s: turing.evals_to.refl.equations._eqn_1 0.088782 s: complex.im_clm_coe 0.000275 s: ordnode.span.equations._eqn_1 0.026329 s: order.partial_iso.preorder.equations._eqn_1 0.059022 s: convex.smul 0.001023 s: list.decidable_perm._main.equations._eqn_1 0.001567 s: nat.decidable_eq._main.equations._eqn_4 0.013334 s: finset.prod_image' 0.011861 s: category_theory.monad.algebra_functor_of_monad_hom_comp_inv_app_f 0.000121 s: list.disjoint_of_disjoint_append_right_left 0.002191 s: measure_theory.measure.univ_pi_Ico_ae_eq_Icc 0.000937 s: infi_univ 0.000190 s: array.to_list.equations._eqn_1 0.066435 s: lie_algebra.orthogonal.type_D.equations._eqn_1 0.025357 s: ennreal.bit1_inj 0.000831 s: rel_hom.to_preorder_hom_coe_fn 0.001858 s: ordinal.is_limit_add_iff 0.000485 s: list.permutations_aux2._main.equations._eqn_1 0.000742 s: is_local_min.bicomp_mono 0.000403 s: filter.tendsto_Ioc_at_bot_at_bot 0.000221 s: filter.tendsto_Ioc_at_bot_at_bot.equations._eqn_1 0.000487 s: turing.TM0.cfg.mk.inj 0.000256 s: turing.TM0.cfg.mk.inj_arrow 0.000781 s: int.to_nat_coe_nat_add_one 0.014290 s: int.pred_to_nat 0.001691 s: list.filter_map_cons 0.000325 s: category_theory.limits.walking_cospan.quiver.hom.subsingleton 0.000226 s: category_theory.limits.walking_cospan.quiver.hom.subsingleton.equations._eqn_1 0.162513 s: tsirelson_inequality.two_gsmul_half_smul 0.000164 s: well_founded.drec_on 0.000295 s: stream.map_const 0.032162 s: pi.add_left_cancel_monoid._proof_2 0.012582 s: is_closed.Inf_mem 0.001224 s: pfunctor.fst_map 0.003612 s: pfunctor.iget_map 0.000336 s: turing.tm2_computable_aux.no_confusion_type 0.000455 s: turing.tm2_computable_aux.no_confusion 0.000386 s: holor_index.take._sunfold 0.003517 s: category_theory.limits.equalizer_comparison.equations._eqn_1 0.001467 s: with_bot.decidable_lt.equations._eqn_4 0.009852 s: category_theory.functor.op_inv.equations._eqn_1 0.021680 s: mv_power_series.map_id 0.000154 s: ordnode.size._sunfold 0.000241 s: affine_map.of_map_midpoint._proof_3 0.006339 s: implicit_function_data.to_local_homeomorph_apply 0.002757 s: category_theory.nat_iso.hcomp.equations._eqn_1 0.000445 s: _nest_1_1._nest_1_1.tactic.tactic_script._mut_.work_0.inj_arrow 0.078926 s: continuous_linear_map.fpower_series_bilinear._main.equations._eqn_3 0.000578 s: add_con.coe_eq 0.000684 s: mvqpf.comp.map'.equations._eqn_1 0.015335 s: equiv.prod_congr_refl_right 0.002307 s: set.inv_mem_Icc_iff 0.124497 s: continuous_linear_map.fpower_series_bilinear._sunfold 0.018704 s: is_R_or_C.of_real_sub 0.051839 s: ring.fractional_ideal.has_zero.equations._eqn_1 0.006186 s: gmultiples_equiv_gmultiples 0.000408 s: AddMon.coe_of 0.000444 s: complex.mul_action.equations._eqn_1 0.008566 s: is_preconnected.intermediate_value_Ioo 0.024064 s: intermediate_value_Ioo' 0.002718 s: add_units.coe_neg 0.005992 s: tactic_doc._1906798983 0.001047 s: turing.partrec_to_TM2.cont'.binduction_on 0.005113 s: tangent_bundle.times_cont_mdiff_at_proj 0.000212 s: pos_num.shiftr._sunfold 0.002723 s: slim_check.sampleable_bifunctor.mk.inj_arrow 0.000317 s: has_measurable_smul.cases_on 0.107641 s: adic_completion.equations._eqn_1 0.000179 s: int.fdiv._main.equations._eqn_7 0.000196 s: hyperreal.of_seq.equations._eqn_1 0.000186 s: with_zero.has_coe_t.equations._eqn_1 0.016921 s: ae_measurable.measurable_at_filter 0.003391 s: monoid_algebra.comm_ring._proof_13 0.001909 s: simple_continued_fraction.coe_to_generalized_continued_fraction 0.003428 s: ordinal.lift_succ 0.006590 s: finset.prod_subtype_eq_prod_filter 0.002586 s: homeomorph.coe_punit_prod 0.001774 s: dlist.mk.sizeof_spec 0.002674 s: fin2.opt_of_nat._main.equations._eqn_3 0.000692 s: traversable.mfoldl 0.001623 s: traversable.mfoldl.equations._eqn_1 0.006231 s: traversable.mfoldl_map 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category_theory.center.left_unitor_inv_f 0.002535 s: monoid_with_zero_hom.rec_on 0.002706 s: nnreal.has_continuous_inv'._proof_1 0.000198 s: nnreal.has_continuous_inv' 0.002884 s: Top.presheaf.to_Types._match_1._proof_1 0.142355 s: circle_deg1_lift.mul_floor_map_zero_le_floor_iterate_zero 0.037265 s: category_theory.limits.category_theory.category_struct.comp.has_image 0.001496 s: category_theory.has_split_coequalizer.dcases_on 0.020291 s: smooth_map_comm_group.equations._eqn_1 0.000060 s: ordnode.has_repr 0.000418 s: one_lt_mul_of_lt_of_le' 0.311507 s: continuous_linear_equiv.to_span_nonzero_singleton.equations._eqn_1 0.040668 s: nat.add_div_of_dvd_right 0.004426 s: nat.add_div_of_dvd_left 0.010883 s: Mon.to_Cat_full.equations._eqn_1 0.000269 s: relation.refl_gen.drec_on 0.002866 s: nat.eq_of_dist_eq_zero 0.010256 s: tensor_product.map.equations._eqn_1 0.000656 s: turing.blank_rel.below._proof_2 0.000760 s: is_add_submonoid.smul_mem 0.300137 s: convex.strict_mono_of_deriv_pos 0.108780 s: derivation.lie_ring.equations._eqn_1 0.012395 s: measure_theory.measure.map_add_right_eq_self 0.009050 s: measure_theory.lintegral_add_right_eq_self 0.000288 s: category_theory.Mat_.sizeof 0.001343 s: deriv_within_const_mul 0.080556 s: deriv_within_div_const 0.021830 s: subgroup.gi.equations._eqn_1 0.000186 s: option.maybe.equations._eqn_1 0.001968 s: continuous_map.sup_coe 0.001668 s: Mon_.equiv_lax_monoidal_functor_punit.equations._eqn_1 0.000683 s: seq.to_list'._match_1.equations._eqn_2 0.000374 s: string.empty_ne_str 0.000519 s: has_measurable_div₂.to_has_measurable_div 0.000512 s: has_measurable_div₂.to_has_measurable_div.equations._eqn_1 0.002303 s: list.pairwise_filter 0.000374 s: is_primitive_root.rec_on 0.000556 s: order.pfilter.is_prime.dcases_on 0.000063 s: pos_num.nat_size.equations._eqn_1 0.000302 s: set.Ico_ℕ_fintype.equations._eqn_1 0.000508 s: pos_num.lxor._main.equations._eqn_8 0.000657 s: rack.pre_envel_group_rel'.act_incl.sizeof_spec 0.006980 s: set.image_mul_left_Icc 0.002562 s: category_theory.sieve.sieve_of_subfunctor_apply 0.001458 s: encodable.order.preimage.is_trans.equations._eqn_1 0.000901 s: normed_group.core.drec_on 0.000796 s: deriv_within_id 0.004411 s: subsemiring.topological_closure.equations._eqn_1 0.002116 s: plift.is_lawful_applicative._match_3.equations._eqn_1 0.020439 s: quaternion.conj_add 0.032989 s: quaternion.coe_norm_sq_add 0.000335 s: UniformSpace.coe_of 0.000266 s: stream.nth_zero_iterate 0.000108 s: num.lor._main.equations._eqn_4 0.010547 s: is_cyclic.image_range_order_of 0.089590 s: is_galois.galois_coinsertion_intermediate_field_subgroup._proof_2 0.012767 s: is_galois.galois_coinsertion_intermediate_field_subgroup._proof_3 0.095898 s: is_galois.galois_coinsertion_intermediate_field_subgroup 0.115428 s: is_galois.galois_coinsertion_intermediate_field_subgroup.equations._eqn_1 0.000442 s: denumerable.sigma.equations._eqn_1 0.000168 s: has_mod.rec_on 0.000214 s: category_theory.limits.has_binary_biproduct.rec_on 0.018811 s: simplex_category.skeletal_functor.category_theory.faithful.equations._eqn_1 0.003033 s: continuous_list_prod 0.005248 s: continuous_multiset_prod 0.000706 s: continuous_finset_prod 0.000168 s: ennreal.nnreal.can_lift.equations._eqn_1 0.137654 s: affine_map.proj.equations._eqn_1 0.019939 s: bounded_continuous_function.module'._proof_2 0.002150 s: bounded_continuous_function.module' 0.001669 s: bounded_continuous_function.module'.equations._eqn_1 0.000471 s: filter.has_basis.cases_on 0.000480 s: measurable.inf_edist 0.000197 s: tactic_doc_entry.mk.sizeof_spec 0.005126 s: category_theory.image_to_kernel_map_zero_right 0.000890 s: category_theory.limits.epi_image_of_epi 0.002437 s: category_theory.image_to_kernel_map_epi_of_epi_of_zero 0.003331 s: is_lawful_traversable.mk.sizeof_spec 0.001033 s: simple_graph.mk.inj_eq 0.000358 s: setoid.mk.inj 0.000181 s: setoid.mk.inj_arrow 0.000285 s: semiquot.to_trunc 0.000149 s: semiquot.to_trunc.equations._eqn_1 0.006798 s: complex.of_real_mul_re 0.000216 s: complex.of_real_mul' 0.000868 s: algebraic_geometry.LocallyRingedSpace.stalk.equations._eqn_1 0.000212 s: set.ord_connected_interval 0.027455 s: convex_interval 0.008006 s: mul_right_bound 0.000263 s: category_theory.Aut.inhabited.equations._eqn_1 0.000449 s: measure_theory.simple_func.rec_on 0.001868 s: function.embedding.to_equiv_range_symm_apply_self 0.000271 s: nat.decidable_lt.equations._eqn_1 0.008255 s: category_theory.comma.map_left_map_left 0.001560 s: Module.colimits.cocone_fun.equations._eqn_1 0.000499 s: ordnode.drop_aux.equations._eqn_2 0.004697 s: times_cont_diff_groupoid.closed_under_restriction.equations._eqn_1 0.016347 s: function.injective.lie_algebra_is_nilpotent 0.002979 s: lie_algebra.nilpotent_iff_equiv_nilpotent 0.000121 s: is_antisymm.rec_on 0.001310 s: category_theory.monadic_adjoint_square_lift 0.000256 s: poly.sub._sunfold 0.004583 s: category_theory.limits.cocones.functoriality_equivalence_inverse 0.000338 s: _private.2020719713.align.equations._eqn_1 0.000287 s: list.lex.is_trichotomous._match_1.equations._eqn_3 0.000160 s: abelianization.inhabited 0.000269 s: add_group.closure_add_subgroup 0.189550 s: linear_ordered_comm_ring.to_linear_ordered_semiring.equations._eqn_1 0.000094 s: tactic.unfold_config.sizeof 0.048656 s: clifford_algebra.rel.dcases_on 0.000324 s: le_of_le_mul_of_le_one_left 0.012039 s: mv_polynomial.degrees_X 0.000963 s: local_homeomorph.trans.equations._eqn_1 0.000198 s: fintype.card_unique 0.011651 s: valuation.is_equiv_of_map_strict_mono 0.000248 s: topological_group.rec_on 0.001135 s: equiv_of_dim_eq_dim.equations._eqn_1 0.004756 s: AddCommGroup.colimits.cocone_naturality_components 0.001525 s: measurable_equiv.coe_mk 0.001603 s: con.lift_comp_mk' 0.002626 s: category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category.equations._eqn_1 0.002397 s: prod.snd_prod 0.001052 s: finsupp.mk.sizeof_spec 0.000080 s: wseq.equations._eqn_1 0.001409 s: subring.coe_comap 0.000134 s: turing.tape.rec_on 0.000049 s: computability.Γ'.ket.inj_arrow 0.002762 s: Top.epi_iff_surjective 0.002368 s: uniform_space.mk.sizeof_spec 0.001172 s: nat.arithmetic_function.is_multiplicative.ppow 0.006522 s: nat.arithmetic_function.is_multiplicative_id 0.017389 s: nat.arithmetic_function.is_multiplicative_pow 0.000477 s: smul_comm_class.dcases_on 0.008400 s: submodule.comm_semiring.equations._eqn_1 0.026138 s: lie_algebra.of_associative_algebra_hom.equations._eqn_1 0.000370 s: induced_mono 0.000609 s: category_theory.is_reflexive_pair.swap 0.000349 s: commute.fpow_left 0.000076 s: forall_comm 0.001482 s: _private.2020719713.align._main.equations._eqn_3 0.000306 s: _private.2020719713.align.equations._eqn_3 0.006024 s: affine_subspace.top_coe 0.003445 s: affine_subspace.direction_eq_top_iff_of_nonempty 0.026359 s: continuous_multilinear_curry_fin0_apply 0.000293 s: category_theory.limits.has_colimits_of_shape_of_has_colimits.equations._eqn_1 0.004147 s: multiset.count_repeat_self 0.002238 s: multiset.count_repeat 0.008471 s: le_rank_iff_exists_linear_independent_finset 0.696336 s: linear_independent.eventually 0.003259 s: is_open_set_of_linear_independent 0.122728 s: is_open_set_of_nat_le_rank 0.025749 s: measure_theory.measure.mk_metric_mono 0.005400 s: continuous_linear_map.sub_apply 0.000909 s: filter.germ.bounded_lattice._proof_7 0.000189 s: turing.evals_to_in_time.has_sizeof_inst 0.001499 s: mv_polynomial.is_homogeneous.sum 0.002470 s: measurable_space.dynkin_system.generate_has_subset_generate_measurable 0.000626 s: ordnode.is_subset_aux._main.equations._eqn_2 0.000202 s: ordnode.is_subset_aux.equations._eqn_2 0.000410 s: category_theory.presieve.singleton.rec_on 0.015293 s: continuous_linear_equiv.equiv_of_right_inverse_symm_apply 0.006396 s: fderiv_const_sub 0.000072 s: free_add_monoid.inhabited 0.000607 s: set.finite.diff 0.001026 s: is_semiring_hom.cases_on 0.001143 s: measure_theory.simple_func.partial_order.equations._eqn_1 0.000552 s: submonoid.has_mul.equations._eqn_1 0.000179 s: category_theory.component.inhabited.equations._eqn_1 0.000240 s: nat.mem_factors 0.000504 s: Gromov_Hausdorff.GH_space.equations._eqn_1 0.006520 s: function.injective.cancel_comm_monoid.equations._eqn_1 0.000918 s: free_semigroup.map_pure 0.000096 s: unsigned.of_nat 0.000068 s: unsigned.of_nat.equations._eqn_1 0.001398 s: tactic_doc._4164062163 0.003875 s: add_equiv.prod_add_units._proof_2 0.000347 s: typevec.repeat_eq._main.equations._eqn_1 0.000606 s: mv_polynomial.pempty_ring_equiv.equations._eqn_1 0.000143 s: zmod.val._main.equations._eqn_1 0.000077 s: Module.inhabited 0.000098 s: Module.inhabited.equations._eqn_1 0.000192 s: category_theory.abelian.has_pushouts 0.002302 s: submonoid.has_inf._match_1.equations._eqn_1 0.007669 s: subring.has_inf.equations._eqn_1 0.000275 s: _private.3072507241.cycle_g._sunfold 0.003959 s: category_theory.is_split_coequalizer.map.equations._eqn_1 0.000916 s: matrix.tail_transpose 0.024835 s: equiv.perm.is_cycle.is_conj 0.005623 s: submodule.of_le._match_1.equations._eqn_1 0.070901 s: Group.sections_subgroup.equations._eqn_1 0.000538 s: turing.TM1to1.Λ'.normal.inj 0.001165 s: equiv.arrow_congr'_apply 0.007017 s: ideal.prime_ideals_equiv.equations._eqn_1 0.000174 s: additive.linear_ordered_add_comm_monoid_with_top._proof_1 0.002058 s: additive.linear_ordered_add_comm_monoid_with_top._proof_3 0.000145 s: additive.linear_ordered_add_comm_monoid_with_top._proof_8 0.000199 s: additive.linear_ordered_add_comm_monoid_with_top._proof_11 0.001197 s: additive.linear_ordered_add_comm_monoid_with_top._proof_12 0.000933 s: additive.linear_ordered_add_comm_monoid_with_top._proof_13 0.000277 s: additive.linear_ordered_add_comm_monoid_with_top._proof_14 0.000122 s: additive.linear_ordered_add_comm_monoid_with_top._proof_15 0.017347 s: additive.linear_ordered_add_comm_monoid_with_top 0.002055 s: affine_equiv.point_reflection_involutive 0.000592 s: sub_mul_action.copy.equations._eqn_1 0.000725 s: int.fdiv._main.equations._eqn_4 0.000067 s: int.fdiv.equations._eqn_4 0.002016 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main.equations._eqn_1 0.000424 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map.equations._eqn_1 0.000527 s: turing.TM1to1.write._sunfold 0.211887 s: contract_right.equations._eqn_1 0.064510 s: le_mul_of_inv_mul_le 0.009945 s: AddMagma.forget_reflects_isos 0.000453 s: Module.colimits.colimit.equations._eqn_1 0.000777 s: set.Ioc.semilattice_sup.equations._eqn_1 0.002382 s: multiplicative.right_cancel_monoid._proof_5 0.000217 s: one_hom.has_coe_to_fun.equations._eqn_1 0.000618 s: matrix.to_blocks₁₁.equations._eqn_1 0.000926 s: has_sum_iff_has_sum 0.001616 s: pi.right_cancel_semigroup._proof_1 0.052527 s: category_theory.discrete.monoidal_functor.equations._eqn_1 0.015315 s: real.log.equations._eqn_1 0.001547 s: mul_aut.coe_one 0.045025 s: measure_theory.lintegral_eq_zero_of_is_mul_left_invariant 0.012429 s: bounded_continuous_function.abs_diff_coe_le_dist 0.003528 s: tactic_doc._3539341143 0.006075 s: category_theory.arrow.lift_struct.fac_right' 0.000045 s: real.has_inv.equations._eqn_1 0.096444 s: continuous_linear_equiv.norm_pos 0.000740 s: category_theory.pairwise.diagram_obj_2 0.000164 s: has_measurable_neg.rec_on 0.019119 s: topological_space.compacts.lattice.equations._eqn_1 0.009981 s: category_theory.monoidal_category.triangle' 0.000628 s: continuous_at_fpow 0.001963 s: is_solvable_by_rad.rec_on 0.004139 s: category_theory.triangulated.rot_comp_inv_rot_hom_app_hom₃ 0.000014 s: hidden 0.000333 s: writer_t.monad_run.equations._eqn_1 0.001304 s: category_theory.non_preadditive_abelian.is_iso_r.equations._eqn_1 0.000115 s: list.has_union.equations._eqn_1 0.000060 s: well_founded.cases_on 0.002115 s: measure_theory.ae_eq_fun.pair.equations._eqn_1 0.000030 s: non_contradictory 0.000039 s: non_contradictory.equations._eqn_1 0.000568 s: pos_num.decidable_lt._main.equations._eqn_1 0.000176 s: omega.int.preterm.repr._sunfold 0.000074 s: Class.has_neg 0.003122 s: formal_multilinear_series.comp_along_composition.equations._eqn_1 0.026993 s: formal_multilinear_series.remove_zero_comp_of_pos 0.020327 s: min_le_mul_of_one_le_right 0.000330 s: isometric.symm.equations._eqn_1 0.004752 s: tactic_doc._1667565148 0.000851 s: Module.colimits.has_colimits_Module.equations._eqn_1 0.001228 s: function.mul_support_subset_comp 0.001301 s: category_theory.from_skeleton.ess_surj.equations._eqn_1 0.000185 s: computation.mem.left_unique 0.001159 s: tactic_doc._3592048524 0.008359 s: measure_theory.ae_eq_fun.lintegral_mono 0.000597 s: omega_complete_partial_order.sizeof 0.002674 s: buffer.write_eq_write' 0.001212 s: category_theory.limits.has_zero_morphisms.comp_zero' 0.000111 s: linarith.ineq.max._main.equations._eqn_6 0.000065 s: tactic.dsimp_config.iota 0.001394 s: module.End.has_generalized_eigenvector.equations._eqn_1 0.002670 s: quadratic_form.isometry.rec_on 0.063847 s: ideal.span_mul_span' 0.000902 s: slim_check.sampleable_ext.functor 0.043525 s: strict_mono_incr_on.continuous_at_left_of_exists_between 0.000153 s: ulift.topological_space.equations._eqn_1 0.008171 s: quadratic_form.has_add.equations._eqn_1 0.000096 s: string.iterator.inhabited.equations._eqn_1 0.005038 s: finset.prod_filter 0.001004 s: bitraversable.tsnd_eq_snd_id' 0.005228 s: free_comm_ring.lift_comp_of 0.001359 s: direct_sum.ghas_mul.to_sigma_has_mul.equations._eqn_1 0.012348 s: is_basis.equiv_funL.equations._eqn_1 0.000226 s: pgame.impartial.move_right_impartial.equations._eqn_1 0.000043 s: monad.join 0.075337 s: universal_enveloping_algebra.lift.equations._eqn_1 0.170745 s: eq_of_deriv_within_eq 0.000188 s: ordnode.is_subset_aux.equations._eqn_1 0.000198 s: set.empty_def 0.000079 s: real.angle.inhabited 0.000043 s: real.angle.inhabited.equations._eqn_1 0.000791 s: free_semigroup.mul_seq 0.000026 s: cc_config.em._default 0.067771 s: tensor_product.lie_module.lie_ring_module.equations._eqn_1 0.000133 s: relation.refl_gen.cases_on 0.010737 s: primrec.list_nth₁ 0.002582 s: primrec.list_find_index₁ 0.000419 s: primrec.list_index_of₁ 0.002156 s: primrec.dom_fintype 0.126218 s: valuation.integers.dvd_iff_le 0.000968 s: zsqrtd.nontrivial.equations._eqn_1 0.000245 s: computation.terminates.drec 0.001450 s: initial_seg.coe_fn_mk 0.023904 s: direct_sum.gmonoid.mk.inj 0.007630 s: direct_sum.gmonoid.mk.inj_arrow 0.001615 s: monoid_hom.coe_mrange_restrict 0.001662 s: category_theory.iso.conj_id 0.001357 s: topological_vector_bundle.rec_on 0.000162 s: turing.partrec_to_TM2.tr_pos_num._sunfold 0.006348 s: category_theory.mono_over.pullback_id.equations._eqn_1 0.000406 s: sum.has_to_string._match_1.equations._eqn_2 0.001567 s: category_theory.limits.cocones.equivalence_of_reindexing.equations._eqn_1 0.000098 s: linarith.comp_source.assump.inj_eq 0.000501 s: category_theory.limits.reflects_limits.rec_on 0.000126 s: opposite.op_eq_one_iff 0.004920 s: category_theory.of_full_and_faithful.equations._eqn_1 0.037489 s: is_noetherian_ring_set_range.equations._eqn_1 0.000270 s: abstract_completion.closure_range 0.005709 s: category_theory.cofinal.colimit_iso 0.003508 s: category_theory.cofinal.colimit_iso.equations._eqn_1 0.000424 s: denumerable.no_confusion 0.002065 s: denumerable.mk.inj 0.000277 s: AddGroup.one.unique.equations._eqn_1 0.000069 s: norm_cast.label.no_confusion_type 0.005158 s: continuous_multilinear_map.mk.inj_eq 0.001297 s: set.ord_connected.dual 0.071011 s: dual_pair.mem_of_mem_span 1.094084 s: Ring.sections_subring.equations._eqn_1 0.000153 s: tactic.abel.unfold_gsmul 0.003065 s: differentiable_on.div 0.000169 s: Top.presheaf.sheaf_condition_equiv_sheaf_condition_preserves_limit_pairwise_intersections._proof_3 0.000122 s: turing.TM0.stmt.move.inj_arrow 0.001664 s: topological_add_group.ext 0.001280 s: measure_theory.has_finite_integral_neg_iff 0.109780 s: circle.topological_group 0.000139 s: semilattice_inf_top.lt._default.equations._eqn_1 0.000588 s: Cauchy.uniform_space.equations._eqn_1 0.016883 s: tactic_doc._4121069781 0.000320 s: add_subgroup.inhabited.equations._eqn_1 0.000865 s: category_theory.comonad.coalgebra.id_f 0.000169 s: is_greatest.is_greatest_iff_eq 0.000110 s: multiplicative.fintype.equations._eqn_1 0.009304 s: category_theory.Lan.cocone.equations._eqn_1 0.000061 s: turing.dir.inhabited 0.258302 s: strict_mono_of_deriv_pos 0.109800 s: real.sinh_strict_mono 0.000791 s: real.sinh_injective 0.000102 s: real.arsinh_sinh 0.000217 s: lazy_list.interleave_all.equations._eqn_2 0.018558 s: nnreal.canonically_ordered_comm_semiring.equations._eqn_1 0.005767 s: nat.ppred_eq_none 0.011056 s: free_ring.coe_zero 0.000459 s: int.fmod._main.equations._eqn_5 0.074743 s: category_theory.comonad.adj_counit 0.180153 s: interval_integral.integral_eq_zero_iff_of_nonneg_ae 0.025738 s: 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category_theory.limits.cokernel_epi_comp_hom 0.001360 s: add_group.is_unital 0.001269 s: eckmann_hilton.add_comm_group._proof_1 0.001622 s: eckmann_hilton.add_comm_group 0.001532 s: eckmann_hilton.add_comm_group.equations._eqn_1 0.000452 s: turing.TM1to1.Λ'.normal.inj_eq 0.000542 s: rat.num_div_denom 0.002504 s: quaternion.conj_alg_equiv.equations._eqn_1 0.005312 s: lie_module.trivial_is_nilpotent.equations._eqn_1 0.002004 s: semilattice_sup_top.rec_on 0.000056 s: iff_subst 0.003858 s: topological_vector_bundle.trivialization.mk.inj_eq 0.013938 s: CommMon_.equiv_lax_braided_functor_punit.counit_iso_inv_app_hom 0.000281 s: array.read_map 0.000917 s: pgame.short_of_lists._sunfold 0.000281 s: parser.mono.eps.equations._eqn_1 0.000117 s: fin_rotate.equations._eqn_1 0.008918 s: lie_group.dcases_on 0.000367 s: upper_bounds_Ico 0.058793 s: pequiv.to_matrix_swap 0.009258 s: map_roots_of_unity 0.002221 s: quaternion.coe_mul_eq_smul 0.002718 s: formal_multilinear_series.remove_zero._sunfold 0.011204 s: CommMon.forget_reflects_isos.equations._eqn_1 0.000858 s: CommMon_.forget₂_Mon_.full 0.002536 s: finsum_mem_eq_sum_of_subset 0.000219 s: omega.nat.preform.neg_free._main.equations._eqn_2 0.000053 s: omega.nat.preform.neg_free.equations._eqn_2 0.000683 s: set.left_inv_on.image_image 0.000229 s: set.left_inv_on.image_image' 0.001833 s: category_theory.limits.wide_pullback_shape.mk_cone._match_1.equations._eqn_2 0.000964 s: lie_hom.linear_map.has_coe.equations._eqn_1 0.000195 s: pSet.Union._main.equations._eqn_1 0.000149 s: pSet.Union.equations._eqn_1 0.000090 s: directed_order.has_sizeof_inst 0.026525 s: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict 0.004612 s: pseudo_emetric_space.mk.sizeof_spec 0.008467 s: category_theory.action_category.curry._proof_3 0.001518 s: list.mem_of_mem_head' 0.000565 s: generalized_continued_fraction.mk.sizeof_spec 0.086387 s: inner_product_space.ker_to_dual_map 0.034980 s: fpow_two_pos_of_ne_zero 0.028163 s: category_theory.limits.comp_preserves_limit.equations._eqn_1 0.000365 s: ordnode.equiv.decidable_rel 0.000312 s: is_well_order.is_irrefl.equations._eqn_1 0.000076 s: seq.zip 0.000292 s: ordnode.has_mem.equations._eqn_1 0.001568 s: turing.inhabited_tm2_outputs_in_time.equations._eqn_1 0.000748 s: add_submonoid.has_Inf.equations._eqn_1 0.046222 s: CommMon_Type_equivalence_CommMon._proof_5 0.007886 s: set.Ico_union_Icc_eq_Icc 0.012241 s: category_theory.prod.associator.equations._eqn_1 0.000250 s: equiv.perm.congr_fun 0.000623 s: triv_sq_zero_ext.fst_smul 0.000190 s: array.take_right.equations._eqn_1 0.003938 s: multiset.sub_inter 0.000141 s: list.tprod.equations._eqn_1 0.003216 s: eckmann_hilton.comm_monoid.equations._eqn_1 0.000995 s: list.not_eq_key 0.000117 s: classical.indefinite_description.equations._eqn_1 0.000088 s: enat.with_top_add_equiv._proof_2 0.000116 s: enat.with_top_add_equiv 0.000626 s: tensor_product.inhabited.equations._eqn_1 0.000111 s: tactic.tactic_script.base.inj 0.002530 s: option.pmap_bind 0.001121 s: cardinal.lift_power 0.001819 s: topological_vector_bundle.trivialization_at.equations._eqn_1 0.001607 s: metric.Hausdorff_dist_closure₁ 0.007908 s: polynomial.eval_one_map 0.000457 s: measure_theory.measure.is_complete.cases_on 0.004265 s: function.surjective.semimodule._proof_2 0.000167 s: znum.zneg._main.equations._eqn_1 0.003872 s: affine_equiv.const_vadd_apply 0.000166 s: additive.linear_ordered_add_comm_monoid._proof_2 0.000327 s: additive.linear_ordered_add_comm_monoid._proof_4 0.000169 s: additive.linear_ordered_add_comm_monoid._proof_6 0.000103 s: additive.linear_ordered_add_comm_monoid._proof_7 0.000080 s: additive.linear_ordered_add_comm_monoid._proof_8 0.000341 s: additive.linear_ordered_add_comm_monoid._proof_9 0.001106 s: additive.linear_ordered_add_comm_monoid._proof_13 0.007161 s: additive.linear_ordered_add_comm_monoid 0.000042 s: cc_config.ac._default.equations._eqn_1 0.000009 s: tactic.dsimp_config.fail_if_unchanged._default 0.005716 s: category_theory.limits.fork.app_zero_left_assoc 0.000129 s: uniformity.equations._eqn_1 0.010204 s: filter.tendsto_at_bot_add_nonpos_right' 0.002064 s: Gromov_Hausdorff.GH_space.inhabited._proof_1 0.000672 s: Gromov_Hausdorff.GH_space.inhabited 0.003114 s: finset.ssubset_iff_of_subset 0.000262 s: ennreal.coe_range_mem_nhds 0.000579 s: linear_map.inhabited.equations._eqn_1 0.005932 s: category_theory.limits.of_iso_comparison.equations._eqn_1 0.000435 s: is_add_submonoid.drec_on 0.001287 s: free_add_magma.lift_aux._main.equations._eqn_2 0.008790 s: category_theory.right_lifting_subcategory._proof_3 0.005412 s: category_theory.right_lifting_subcategory._proof_4 0.010292 s: category_theory.right_lifting_subcategory._proof_5 0.004640 s: category_theory.right_lifting_subcategory 0.006889 s: category_theory.right_lifting_subcategory.equations._eqn_1 0.005824 s: linear_map.proj_std_basis_same 0.001520 s: linear_ordered_cancel_add_comm_monoid.decidable_eq._default.equations._eqn_1 0.000041 s: prop.inhabited.equations._eqn_1 0.002819 s: function.support_smul 0.003040 s: equiv.comm_semiring.equations._eqn_1 0.000986 s: category_theory.limits.has_kernels.dcases_on 0.001397 s: linear_map.diag.equations._eqn_1 0.091531 s: has_strict_fderiv_at.implicit_to_local_homeomorph_apply_ker 0.000510 s: add_monoid_algebra.to_multiplicative._proof_1 0.018510 s: add_monoid_algebra.to_multiplicative 0.003897 s: turing.tm2_computable_in_poly_time.sizeof 0.004986 s: add_con.le_iff 0.000087 s: arity.arity.inhabited 0.000129 s: arity.arity.inhabited.equations._eqn_1 0.006334 s: finsupp.total.equations._eqn_1 0.000283 s: nhds_mono 0.000109 s: has_zero.nonempty.equations._eqn_1 0.000205 s: vector.nth._main._proof_1 0.001588 s: vector.nth._main.equations._eqn_1 0.000586 s: vector.nth.equations._eqn_1 0.185256 s: polynomial.degree_lt_equiv._proof_5 0.130398 s: add_submonoid.comap_infi 0.016308 s: cardinal.two_le_iff' 0.000486 s: slim_check.or_counter_example._main.equations._eqn_4 0.000201 s: slim_check.or_counter_example.equations._eqn_4 0.011641 s: lucas_lehmer.X.monoid.equations._eqn_1 0.000404 s: ring_equiv.subsemiring_congr._proof_1 0.000927 s: ring_equiv.subsemiring_congr._proof_2 0.001579 s: ring_equiv.subsemiring_congr._proof_3 0.002603 s: ring_equiv.subsemiring_congr._proof_5 0.012885 s: ring_equiv.subsemiring_congr 0.000539 s: int.sub_right_le_of_le_add 0.000185 s: int.neg_le_sub_right_of_le_add 0.000159 s: monad_io_terminal.rec_on 0.000884 s: category_theory.equivalence.op_functor 0.007403 s: pos_of_one_lt.equations._eqn_1 0.000177 s: zero_hom.inhabited 0.002752 s: dist_right_midpoint 0.283273 s: real.square_sin_pi_div_three 0.030937 s: dfinsupp.decidable_eq._proof_1 0.002398 s: dfinsupp.decidable_eq 0.000164 s: add_con.has_coe_to_fun.equations._eqn_1 0.022888 s: lie_module_equiv.symm_symm 0.013150 s: irrational.of_pow 0.029467 s: irrational.of_fpow 0.000023 s: tactic.simp_config.iota._default 0.006802 s: ennreal.le_rpow_self_of_one_le 0.000786 s: int.decidable_le_le._proof_1 0.001731 s: quiver.wide_subquiver_equiv_set_total.equations._eqn_1 0.117673 s: nnreal.tsum_mul_right 0.029285 s: category_theory.over.construct_products.cones_equiv_inverse_obj.equations._eqn_1 0.008709 s: direct_sum.is_scalar_tower 0.013846 s: direct_sum.is_scalar_tower.equations._eqn_1 0.007081 s: add_subgroup.normal_of_comm.equations._eqn_1 0.026625 s: enat.complete_linear_order._proof_1 0.064066 s: is_precomplete.top 0.000751 s: ordinal.add_monoid._match_2.equations._eqn_1 0.000303 s: true_equivalence 0.000061 s: side.R.sizeof_spec 0.092813 s: matrix.det_row_multilinear.equations._eqn_1 0.070712 s: complex.div_re 0.014300 s: pgame.of_aux_relabelling._main._proof_1 0.130133 s: filter.germ.ordered_ring.equations._eqn_1 0.000218 s: slim_check.total_function.has_sizeof.equations._eqn_1 0.000566 s: category_theory.limits.reflects_colimits.rec_on 0.019630 s: nat.decidable_exists_lt._sunfold 0.014358 s: lt_neg_iff_add_neg' 0.091478 s: real.arctan_zero 0.375312 s: concave_on_iff_convex_hypograph 0.000127 s: ennreal.real.has_pow.equations._eqn_1 0.005015 s: category_theory.regular_epi.mk.inj 0.004535 s: category_theory.regular_epi.mk.inj_arrow 0.000030 s: tactic.itauto.and_kind.eq.inj 0.000335 s: has_star.mk.inj 0.000505 s: zsqrtd.coe_int_inj 0.001617 s: zsqrtd.conj_neg 0.001885 s: zsqrtd.norm_neg 0.002812 s: equiv.arrow_congr.is_left_cancel 0.001452 s: submonoid.coe_comap 0.000180 s: turing.tape.mk₁.equations._eqn_1 0.000076 s: num.land.equations._eqn_2 0.037787 s: fpow_eq_zero_iff 0.000072 s: int.neg.equations._eqn_1 0.000128 s: regular_expression.has_one.equations._eqn_1 0.000304 s: tactic.interactive.list.minimum_on.equations._eqn_1 0.010398 s: colex.finset.colex.linear_order.equations._eqn_1 0.001278 s: lie_subalgebra.gc_map_comap 0.001110 s: is_unit_of_add_is_unit_right 0.005955 s: measure_theory.L1.simple_func.to_L1_eq_mk 0.089043 s: times_cont_diff_within_at.exp 0.013078 s: isometry_subsingleton 0.098004 s: prime_spectrum.prime_spectrum_prod.equations._eqn_1 0.000804 s: enorm.ext_iff 0.044102 s: uniform_space.completion.map_ring_hom.equations._eqn_1 0.000107 s: comm_monoid.has_sizeof_inst 0.000888 s: CommMon.has_limits 0.000452 s: CommMon.has_limits.equations._eqn_1 0.000429 s: psigma.fintype_prop_right._match_1.equations._eqn_1 0.000292 s: seq.bisim_o.equations._eqn_3 0.005184 s: continuous_linear_map.fpower_series_bilinear._main._proof_6 0.003233 s: abstract_completion.extend_unique 0.004996 s: power_series.mul_inv_of_unit 0.000054 s: unsigned_sz.equations._eqn_1 0.000060 s: tactic.itauto.prop.xor.equations._eqn_1 0.000980 s: free_semigroup.pure_bind 0.001128 s: function.mul_support_min 0.013367 s: category_theory.differential_object.shift_unit_app_f 0.000266 s: submonoid.unique.equations._eqn_1 0.000583 s: filter.rec_on 0.002853 s: category_theory.limits.colimit.post.equations._eqn_1 0.001512 s: polynomial.nat_degree_int_cast 0.000049 s: not_of_not_not_not 0.002023 s: category_theory.limits.biprod.braiding_map_braiding_assoc 0.000454 s: rbnode.balance1._main.equations._eqn_1 0.000561 s: topological_space.first_countable_topology.sequential_space.equations._eqn_1 0.001130 s: local_equiv.copy_apply 0.058242 s: lucas_lehmer.two_lt_q 0.000319 s: category_theory.simplicial_object.equations._eqn_1 0.000517 s: topological_add_group.drec_on 0.013096 s: linear_map.smul_right.equations._eqn_1 0.003465 s: semilattice_sup_bot.sizeof 0.057312 s: measurable_space.map_inf 0.000235 s: bdd_below.inter_of_left 0.000056 s: tactic.ring_exp.coeff.rec_on 0.002926 s: rel_embedding.of_monotone.equations._eqn_1 0.000992 s: metric.of_t2_pseudo_metric_space.equations._eqn_1 0.012743 s: is_semiring_hom.is_monoid_hom.equations._eqn_1 0.003785 s: normal_add_subgroup.drec 0.000701 s: set.bij_on.to_local_equiv_target 0.063915 s: category_theory.discrete.monoidal_functor_comp._proof_8 0.007748 s: quot.map₂.equations._eqn_1 0.000275 s: pfunctor.approx.cofix_a.intro.inj_arrow 0.000659 s: turing.TM0to1.tr._match_1.equations._eqn_2 0.002566 s: order_iso.tendsto_at_top_iff 0.009790 s: order_iso.tendsto_at_bot_iff 0.000981 s: order.ideal_of_cofinals._match_3.equations._eqn_1 0.000203 s: pi.ordered_comm_group._proof_1 0.000170 s: pi.ordered_comm_group._proof_2 0.000150 s: pi.ordered_comm_group._proof_3 0.000369 s: pi.ordered_comm_group._proof_4 0.000512 s: pi.ordered_comm_group._proof_5 0.000644 s: pi.ordered_comm_group._proof_6 0.000752 s: pi.ordered_comm_group._proof_7 0.000206 s: pi.ordered_comm_group._proof_8 0.000146 s: pi.ordered_comm_group._proof_9 0.000192 s: pi.ordered_comm_group._proof_10 0.000297 s: pi.ordered_comm_group._proof_11 0.000380 s: pi.ordered_comm_group._proof_12 0.023431 s: pi.ordered_comm_group 0.025827 s: pi.ordered_comm_group.equations._eqn_1 0.036587 s: has_deriv_at_iff_tendsto 0.000313 s: rbtree.rev_fold._sunfold 0.008889 s: polynomial.reflect_eq_zero_iff 0.031499 s: padic_int.discrete_valuation_ring.equations._eqn_1 0.014601 s: has_strict_fderiv_at.implicit_to_local_homeomorph_of_complemented.equations._eqn_1 0.000134 s: turing.to_partrec.code.cons.inj_arrow 0.102277 s: convex_hull_exists_dist_ge2 0.000295 s: locally_constant.congr_arg 0.000517 s: list.alternating_sum._main.equations._eqn_1 0.000106 s: list.alternating_sum.equations._eqn_1 0.072345 s: list.alternating_sum_eq_finset_sum 0.000191 s: relation.refl_trans_gen.cases_tail 0.006916 s: list.reduce_option_mem_iff 0.002261 s: list.reduce_option_nth_iff 0.000684 s: category_theory.limits.mono_factorisation.iso_comp_I 0.002243 s: equiv_functor_fintype._proof_2 0.000563 s: equiv_functor_fintype 0.000389 s: equiv_functor_fintype.equations._eqn_1 0.001922 s: category_theory.limits.binary_bicone.inl_snd' 0.000403 s: category_theory.has_colimits_of_has_colimits_creates_colimits 0.004217 s: diffeomorph.mk.sizeof_spec 0.011140 s: category_theory.subobject.semilattice_sup._match_1.equations._eqn_1 0.000468 s: polynomial.splitting_field.field.equations._eqn_1 0.005047 s: category_theory.Ran.equations._eqn_1 0.001319 s: finset.mem_range_sub_ne_zero 1.375357 s: Gromov_Hausdorff.totally_bounded 0.007493 s: topological_space.opens.mk_inf_mk 0.000139 s: wseq.remove_nth 0.000176 s: wseq.remove_nth.equations._eqn_1 0.000477 s: finprod_cond_eq_left 0.003657 s: finprod_cond_eq_right 0.009605 s: finsupp.map_domain_finset_sum 0.046320 s: real.volume_pi_Ioo_to_real 0.089311 s: finset.exists_card_fiber_le_of_card_le_mul 0.013514 s: enat.partial_order._match_1.equations._eqn_1 0.000288 s: list.argmin_mem 0.000382 s: list.minimum_mem 0.000417 s: local_equiv.is_image.symm_preimage_eq 0.000234 s: ring_char.eq_iff 0.000638 s: equiv.mul_equiv_apply 0.017214 s: filter.generate_univ 0.038390 s: linear_pmap.snd_apply 0.002271 s: pregroupoid.groupoid.equations._eqn_1 0.011530 s: homeomorph.set_congr._proof_1 0.001975 s: homeomorph.set_congr 0.010461 s: ennreal.lt_top_homeomorph_nnreal._proof_1 0.000459 s: ennreal.lt_top_homeomorph_nnreal 0.000218 s: sigma.uncurry.equations._eqn_1 0.004962 s: category_theory.monoidal.functor_category.tensor_obj_map 0.002538 s: additive.add_right_cancel_monoid.equations._eqn_1 0.013898 s: category_theory.limits.is_colimit.of_cocone_equiv_symm_apply_desc 0.000194 s: lazy_list.interleave.equations._eqn_1 0.003842 s: hash_map.mk.sizeof_spec 0.004418 s: wf_dvd_monoid.iff_well_founded_associates 0.000504 s: measurable_space.dynkin_system.sizeof 0.001065 s: measurable_space.dynkin_system.mk.sizeof_spec 0.000992 s: order.ideal.semilattice_inf.ideal_inter_nonempty.equations._eqn_1 0.007600 s: Module.Mon_Module_equivalence_Algebra_forget._proof_3 0.003047 s: category_theory.sum.associator._match_2.equations._eqn_3 0.000242 s: with_zero.canonically_ordered_add_monoid._proof_1 0.000241 s: with_zero.canonically_ordered_add_monoid._proof_6 0.000101 s: with_zero.canonically_ordered_add_monoid._proof_7 0.000638 s: with_zero.canonically_ordered_add_monoid._proof_9 0.007715 s: with_zero.canonically_ordered_add_monoid 0.005738 s: with_zero.canonically_ordered_add_monoid.equations._eqn_1 0.000370 s: has_finite_inter.finite_inter_closure_has_finite_inter.equations._eqn_1 0.000038 s: lint_verbosity.high.inj_arrow 0.000126 s: int.div._main.equations._eqn_5 0.000041 s: int.div.equations._eqn_5 0.002369 s: ring_hom.to_nat_alg_hom.equations._eqn_1 0.006995 s: cfilter.to_filter._match_2.equations._eqn_1 0.000332 s: list.mmap'_diag.equations._eqn_2 0.000177 s: set.inv_on.equations._eqn_1 0.024694 s: category_theory.action_category.curry._proof_2 0.015971 s: category_theory.action_category.curry 0.004434 s: category_theory.action_category.curry_apply_right 0.000291 s: rbnode.depth.equations._eqn_2 0.004730 s: turing.to_partrec.code.ok.zero 0.007687 s: turing.to_partrec.code_is_ok 0.000296 s: turing.to_partrec.step_normal_eval 0.004942 s: cancel_monoid.mk.inj_arrow 0.001090 s: add_subgroup.center.equations._eqn_1 0.003531 s: polynomial.base_mul_mem_lifts 0.001700 s: equiv.subtype_preimage_apply 0.018593 s: continuous_linear_equiv.snd_equiv_of_right_inverse 0.001498 s: is_complemented.order_dual.is_complemented.equations._eqn_1 0.027519 s: pgame.of_aux_relabelling._main.equations._eqn_1 0.027482 s: pgame.of_aux_relabelling.equations._eqn_1 0.000398 s: pgame.mk.inj_arrow 6.065005 s: SemiRing.forget₂_AddCommMon_preserves_limits_aux.equations._eqn_1 0.007515 s: comm_cancel_monoid_with_zero.rec_on 0.000060 s: tactic.itauto.and_kind.eq.sizeof_spec 0.000218 s: array.pop_back.equations._eqn_1 0.141945 s: smooth_bump_covering.sizeof 0.115724 s: smooth_bump_covering.mk.sizeof_spec 0.242215 s: Module.colimits.colimit_type.add_comm_group.equations._eqn_1 0.000299 s: topological_space.first_countable_topology.drec 0.186357 s: smul_lt_iff_of_pos 0.022886 s: vector.map_cons 0.010010 s: filter.rcomap._match_2.equations._eqn_1 0.000128 s: triv_sq_zero_ext.add_comm_semigroup 0.005163 s: Mon_.equiv_lax_monoidal_functor_punit.Mon_to_lax_monoidal_obj_μ 0.000254 s: category_theory.with_terminal.star.sizeof_spec 0.004649 s: filter.realizer.of_equiv._match_2.equations._eqn_1 0.007714 s: category_theory.functor.postcompose_whisker_left_map_cone_hom_hom 0.947250 s: AddCommGroup.has_forget_to_AddCommMon.equations._eqn_1 0.031064 s: category_theory.ulift.equivalence.equations._eqn_1 0.000831 s: sum.uniform_space.equations._eqn_1 0.000236 s: Semigroup.semigroup.to_has_mul.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.022602 s: category_theory.monad.forget_creates_colimits.lifted_cocone_is_colimit.equations._eqn_1 0.001018 s: fin_enum.sigma.fin_enum.equations._eqn_1 0.007168 s: tactic_doc._3373598964 0.001387 s: tactic.norm_fin.normalize_fin_lt.cast 0.001521 s: dfinsupp.sum_add 0.000577 s: is_smul_regular.is_left_regular_iff 0.007639 s: real.cos_sub_int_mul_two_pi 0.002082 s: real.cos_sub_nat_mul_two_pi 0.182742 s: is_local_max_on.fderiv_within_nonpos 0.001150 s: subtype.preimage_val_eq_preimage_val_iff 0.025601 s: set.Ico_subset_Ico_union_Ico 0.002697 s: set.Ico_union_Ico_eq_Ico 0.002392 s: generalized_continued_fraction.zeroth_denominator_eq_one 0.000032 s: tactic.tag.equations._eqn_1 0.011014 s: ring.mk.inj_arrow 0.033429 s: ideal.le_comap_sup 0.012844 s: set.Ici_subset_Icc_union_Ioi 0.001712 s: set.Icc_union_Ioi_eq_Ici 0.047503 s: mv_polynomial.R.equations._eqn_1 0.000316 s: ordnode.find_ge._match_1.equations._eqn_3 0.000189 s: prod.is_refl_preimage_snd.equations._eqn_1 0.000043 s: fun_info.params 0.000148 s: tactic.itauto.proof.or_imp_right.inj_eq 0.000151 s: is_glb_univ 0.015430 s: Inf_univ 0.008535 s: submonoid.localization_map.of_mul_equiv_of_dom._match_3.equations._eqn_1 0.000045 s: tactic.new_goals.inhabited 0.005037 s: submodule.is_open_mono 0.045350 s: disjoint.union_right 0.004490 s: parser.static.map.equations._eqn_1 0.003533 s: measurable.infi_Prop 0.004596 s: uniform_add_group.to_topological_add_group.equations._eqn_1 0.000334 s: alist.has_union.equations._eqn_1 0.008129 s: category_theory.ev_naturality 0.000364 s: inducing.drec 0.002227 s: category_theory.limits.pushout_cocone.of_cocone.equations._eqn_1 0.002418 s: submonoid.localization_map.away_to_away_right._proof_1 0.001557 s: submonoid.localization_map.away_to_away_right 0.001366 s: submonoid.localization_map.away_to_away_right.equations._eqn_1 0.000948 s: quandle.opposite_quandle._proof_1 0.021099 s: category_theory.non_preadditive_abelian.mono_r.equations._eqn_1 0.006484 s: category_theory.limits.biproduct.map_iso.equations._eqn_1 0.000226 s: category_theory.has_shift.mk.inj_arrow 0.000167 s: lazy_list.cons.inj_arrow 0.005814 s: pnat.add_comm_semigroup 0.002976 s: pnat.add_comm_semigroup.equations._eqn_1 0.000580 s: equiv.integral_domain._proof_3 0.000592 s: equiv.integral_domain._proof_5 0.003261 s: equiv.integral_domain 0.007098 s: linear_map.semimodule.equations._eqn_1 0.001891 s: category_theory.presieve.singleton_eq_iff_domain 0.017633 s: padic_int.complete_space.equations._eqn_1 0.000693 s: mvqpf.const.mvqpf.equations._eqn_1 0.004976 s: ring_equiv.map_ne_one_iff 0.000093 s: pos_num.rec_on 0.003178 s: matrix.diag.equations._eqn_1 0.002514 s: circle_deg1_lift.le_iterate_pos_iff 0.009598 s: parser.bounded.eof 0.000700 s: onote.NF_below.drec_on 0.000194 s: power_series.add_comm_monoid.equations._eqn_1 0.004592 s: bifunctor.fst_snd 0.001923 s: bifunctor.fst_comp_snd 0.001197 s: Top.presheaf.sheaf_condition_unique_gluing.equations._eqn_1 0.002397 s: mv_polynomial.comm_semiring.equations._eqn_1 0.000278 s: liouville.equations._eqn_1 0.001412 s: finmap.to_finmap_nil 0.002876 s: finmap.to_finmap_cons 0.007807 s: finmap.mem_insert 0.004497 s: finmap.mem_list_to_finmap 0.000048 s: ematch_config.max_instances._default 0.002579 s: linear_ordered_add_comm_monoid.no_confusion_type 0.005911 s: linear_ordered_add_comm_monoid.no_confusion 0.009197 s: mvpfunctor.liftr_iff 0.009899 s: category_theory.functor.map_cocone_precompose_inv_hom 0.000224 s: buffer.append._sunfold 0.016816 s: zsqrtd.norm_int_cast 0.001345 s: zsqrtd.norm_nat_cast 0.006154 s: equiv.extend_subtype_mem 0.002056 s: turing.eval_induction.equations._eqn_1 0.004686 s: add_subgroup.map.equations._eqn_1 0.002229 s: pi.add_left_cancel_monoid 0.001582 s: pi.add_left_cancel_monoid.equations._eqn_1 0.074529 s: category_theory.transfer_nat_trans.equations._eqn_1 0.000272 s: ordnode.insert'._sunfold 0.000255 s: rsimp.config.mk.inj 0.015040 s: zmod.int_cast_cast 0.003370 s: measurable_nndist 0.007433 s: pi.add_cancel_comm_monoid._proof_1 0.011011 s: geom_sum_Ico_mul_neg 0.000279 s: wseq.find_index 0.019020 s: lie_ideal.is_lie_abelian_of_trivial.equations._eqn_1 0.001631 s: set.image_neg_Ioc 0.015275 s: has_sum.div_const 0.192134 s: dist_le_of_le_geometric_two_of_tendsto 0.000134 s: onote.NF.drec 0.019008 s: semi_normed_group.core.cases_on 0.000069 s: pos_num.lor.equations._eqn_4 0.000805 s: mul_action.of_quotient_stabilizer.equations._eqn_1 0.004848 s: mul_semiring_action.mk.inj_arrow 0.000560 s: is_clopen_Inter 0.000647 s: bitvec.sshr._sunfold 0.003124 s: order_dual.semilattice_inf_top._proof_3 0.001131 s: lazy_list.init._main.equations._eqn_2 0.000268 s: lazy_list.init.equations._eqn_2 0.005641 s: set.preimage_sub_const_Ioc 0.000163 s: tree.get_or_zero.equations._eqn_1 0.001565 s: mul_equiv.to_Magma_iso.equations._eqn_1 0.000214 s: add_con.congr._proof_1 0.001063 s: subrel.rel_embedding.equations._eqn_1 0.007267 s: homological_complex.comm_assoc 0.000187 s: ordinal.has_sub.equations._eqn_1 0.000347 s: wseq.productive_of_seq 0.000264 s: wseq.productive_of_seq.equations._eqn_1 0.063267 s: linear_map.is_integral 0.010208 s: star_algebra.mk.inj 0.003025 s: star_algebra.mk.inj_arrow 0.003442 s: tactic.norm_fin.normalize_fin.one 0.001118 s: tactic.norm_fin.normalize_fin.bit1 0.000893 s: prime_multiset.of_nat_multiset.equations._eqn_1 0.000058 s: omega.nat.preterm.val.equations._eqn_1 0.001638 s: order.ideal.sup.equations._eqn_1 0.001470 s: set.indicator_union_add_inter 0.026169 s: linear_ordered_add_comm_group.to_no_bot_order.equations._eqn_1 0.007214 s: finite_dimensional.findim_pos_iff_exists_ne_zero 0.002563 s: add_right_cancel_monoid.mk.inj 0.000373 s: asymptotics.is_O.of_neg_right 0.000273 s: measurable.sqrt 0.018690 s: mv_polynomial.vars_sub_subset 0.017561 s: parser.static.ch 0.001272 s: free_magma.traverse._main.equations._eqn_2 0.000372 s: free_magma.traverse.equations._eqn_2 0.001260 s: filter.has_basis.drec_on 0.000567 s: category_theory.grothendieck.mk.inj_arrow 0.000337 s: algebraic_closure.is_alg_closed.equations._eqn_1 0.000212 s: normed_space.dual.inhabited 0.000221 s: normed_space.dual.inhabited.equations._eqn_1 0.001518 s: monoid_hom.eval_apply_apply 0.012133 s: linear_ordered_comm_ring.to_integral_domain.equations._eqn_1 0.000059 s: monad_cont.has_sizeof_inst 0.006244 s: category_theory.monoidal_category.tensor_left_tensor_hom_app 0.084191 s: real.deriv_arctan 0.254730 s: differentiable_at.arctan 0.704921 s: integral_inv_one_add_sq 0.160869 s: integral_one_div_one_add_sq 0.000498 s: omega.nat.preterm.add.sizeof_spec 0.001397 s: linear_equiv.refl.equations._eqn_1 0.025859 s: category_theory.limits.limit.iso_limit_cone_inv_π_assoc 0.000156 s: znum.has_dvd.dvd.decidable_rel._sunfold 0.000133 s: open_subgroup.inhabited 0.000092 s: open_subgroup.inhabited.equations._eqn_1 0.006524 s: has_fderiv_within_at.union 0.088131 s: has_mfderiv_within_at.union 0.291474 s: matrix.reindex_lie_equiv_symm 0.033151 s: order_bot.no_confusion_type 0.003691 s: order_bot.no_confusion 0.000372 s: filter.frequently.forall_exists_of_at_top 0.000303 s: rbmap.empty.equations._eqn_1 0.025950 s: mv_power_series.subalgebra.nontrivial.equations._eqn_1 0.008091 s: category_theory.single_obj.map_hom.equations._eqn_1 0.001878 s: Top.presheaf.sheaf_condition_punit.equations._eqn_1 0.000284 s: asymptotics.is_o.congr_right 0.000204 s: simple_continued_fraction.inhabited.equations._eqn_1 0.043020 s: nnreal.le_of_add_le_right 0.071695 s: ideal.mul_mono_left 0.001532 s: list.nodup_enum_map_fst 0.001453 s: category_theory.with_terminal.hom_from 0.001441 s: category_theory.with_terminal.hom_from.equations._eqn_1 0.001851 s: pequiv.order_bot.equations._eqn_1 0.001042 s: real.arccos_inj 0.000882 s: mul_action.to_perm.equations._eqn_1 0.015575 s: sym.cons_inj_right 0.000027 s: slim_check.dec_guard_testable._match_1._proof_4 0.000074 s: io_core_is_monad.equations._eqn_1 0.002282 s: nnreal.no_top_order._match_1.equations._eqn_1 0.003676 s: multiset.card_sub 0.007492 s: category_theory.limits.is_limit_aux.equations._eqn_1 0.027037 s: category_theory.lift_adjoint.counit_coequalises.equations._eqn_1 0.012248 s: category_theory.limits.is_limit.cone_points_iso_of_nat_iso_hom_comp_assoc 0.000163 s: is_left_inv.cases_on 0.000949 s: add_submonoid.mem_infi 0.000020 s: string.iterator.set_curr 0.000063 s: string.iterator.set_curr.equations._eqn_2 0.001299 s: linear_ordered_ring.decidable_eq._default.equations._eqn_1 0.000169 s: zsqrtd.integral_domain._proof_16 0.000928 s: pfun.ext' 0.000275 s: dmatrix.add_semigroup 0.000942 s: continuous_map.equiv_fn_of_discrete.equations._eqn_1 0.000215 s: rbtree.contains.equations._eqn_1 0.000034 s: format.color.green.inj_arrow 0.001060 s: bounded_random.mk.sizeof_spec 0.000846 s: mv_polynomial.eval₂_hom.equations._eqn_1 0.001086 s: ordnode.union._main.equations._eqn_2 0.000344 s: ordnode.union.equations._eqn_2 0.000237 s: nonote.has_add 0.004693 s: witt_vector.lift_equiv_symm_apply_coe 0.001757 s: filter.realizer.principal._match_1.equations._eqn_1 0.000775 s: typevec.append1._main.equations._eqn_1 0.000395 s: typevec.append1.equations._eqn_1 0.000092 s: complex.rec_on 0.003059 s: linear_ordered_add_comm_group.decidable_eq._default.equations._eqn_1 0.000752 s: binder_info.has_repr._match_1.equations._eqn_3 0.289774 s: mv_polynomial.evalₗ.equations._eqn_1 0.001059 s: parser.mono.map.equations._eqn_1 0.025838 s: category_theory.triangulated.triangle_morphism.rotate_hom₃ 0.003369 s: polynomial.div_X_add 0.001121 s: opposite.op_add_equiv_to_equiv 0.029564 s: perfect_closure.mk_mul_mk 0.187751 s: perfect_closure.lift._proof_3 0.309448 s: perfect_closure.lift._proof_6 0.186716 s: perfect_closure.eq_pth_root 0.338162 s: perfect_closure.lift._proof_7 0.205932 s: perfect_closure.lift 0.198738 s: perfect_closure.lift.equations._eqn_1 0.000448 s: topological_group.drec 0.000297 s: writer_t.call_cc 0.031356 s: continuous_multilinear_map.mk.sizeof_spec 0.005720 s: finsum_mem_insert' 0.002340 s: finsum_mem_insert 0.004992 s: finsum_mem_pair 0.002642 s: affine_equiv.symm.equations._eqn_1 0.000322 s: tactic.interactive.last_two._match_1.equations._eqn_3 0.002529 s: equiv.remove_none_map_equiv 0.000462 s: AddMon.add_monoid.equations._eqn_1 0.006613 s: category_theory.limits.is_colimit.of_faithful.equations._eqn_1 0.000146 s: typevec.equations._eqn_1 0.003397 s: finsupp.map_range.linear_equiv_refl 0.000396 s: category_theory.unop_unop_obj 0.040557 s: hahn_series.comm_ring.equations._eqn_1 0.019354 s: field_of_is_unit_or_eq_zero._proof_1 0.011562 s: field_of_is_unit_or_eq_zero._proof_2 0.011813 s: field_of_is_unit_or_eq_zero._proof_3 0.009889 s: field_of_is_unit_or_eq_zero._proof_5 0.012931 s: field_of_is_unit_or_eq_zero._proof_6 0.012488 s: field_of_is_unit_or_eq_zero._proof_8 0.022656 s: field_of_is_unit_or_eq_zero 0.031238 s: field_of_is_unit_or_eq_zero.equations._eqn_1 0.006708 s: Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map_2 0.001741 s: is_linear_map.dcases_on 0.000371 s: filter.tendsto_Ico_at_bot_at_bot 0.000313 s: filter.tendsto_Ico_at_bot_at_bot.equations._eqn_1 0.102569 s: padic.field.equations._eqn_1 0.000176 s: category_theory.biprod.gaussian._proof_1 0.014047 s: lazy_list.pmap._sunfold 0.007576 s: ring_equiv.of_left_inverse_symm_apply 0.000260 s: tendsto_inv 0.000196 s: lucas_lehmer.X.equations._eqn_1 0.000534 s: add_le_of_le_sub_right 0.000216 s: nonote.decidable_eq 0.002635 s: ordinal.omega_le_of_is_limit 0.003745 s: filter.bot_sets_eq 0.001419 s: submonoid.mem_nhds_one 0.000251 s: sym2.is_diag.decidable_pred._proof_2 0.000813 s: category_theory.equivalence.unop_inverse 0.000193 s: tactic.apply_cfg.mk.sizeof_spec 0.003758 s: fixed_points.mul_action.fixed_points.is_subfield.equations._eqn_1 0.000385 s: _private.3022290435.Cb.equations._eqn_1 0.000079 s: prime_multiset.coe_nat.equations._eqn_1 0.001488 s: set.preimage_eq_iff_eq_image 0.000369 s: equiv.preimage_eq_iff_eq_image 0.000572 s: star_add_equiv_apply 0.001472 s: local_equiv.prod.equations._eqn_1 0.000716 s: filter.is_countably_generated.countable_filter_basis.equations._eqn_1 0.000177 s: multiset.nodup.equations._eqn_1 0.000647 s: galois_coinsertion.rec_on 0.002360 s: subalgebra.to_linear_ordered_ring.equations._eqn_1 0.005422 s: polynomial.is_scalar_tower.equations._eqn_1 0.004347 s: slim_check.nat_ge.sampleable._match_2.equations._eqn_1 0.012524 s: bilin_form.lin_mul_lin_comp_right 0.000077 s: tactic.itauto.and_kind.inhabited.equations._eqn_1 0.000234 s: int.lt_add_of_sub_left_lt 0.000335 s: int.lt_add_of_neg_add_lt_left 0.000084 s: int.lt_add_of_neg_lt_sub_left 0.003076 s: cau_seq.completion.Cauchy.has_mul.equations._eqn_1 0.140112 s: is_dedekind_domain.dcases_on 0.431221 s: intermediate_field.dim_eq_dim_subalgebra 0.139901 s: intermediate_field.dim_eq_one_iff 0.123870 s: intermediate_field.dim_adjoin_eq_one_iff 0.107145 s: intermediate_field.dim_adjoin_simple_eq_one_iff 0.019201 s: multiset.nodup_iff_le 0.000063 s: num.sub.equations._eqn_1 0.000099 s: string.iterator.remove.equations._eqn_1 0.009175 s: continuous_multilinear_map.pi_apply 0.000045 s: tactic.transparency.semireducible.sizeof_spec 0.000678 s: matrix.sub_up.equations._eqn_1 0.002074 s: order_dual.order_top.equations._eqn_1 0.000791 s: name.to_string_with_sep._main.equations._eqn_6 0.042548 s: differentiable_at.smul 0.006986 s: category_theory.limits.reflects_limits_subsingleton 0.003823 s: category_theory.limits.reflects_limits_subsingleton.equations._eqn_1 0.026759 s: category_theory.category_of_elements.to_structured_arrow.equations._eqn_1 0.001051 s: array.slice._match_1._proof_1 0.001175 s: array.slice._match_1.equations._eqn_1 0.001000 s: parser.static.seq.equations._eqn_1 0.019585 s: cardinal.canonically_ordered_comm_semiring.equations._eqn_1 0.008112 s: hyperreal.coe_inv 0.000366 s: witt_vector.neg_is_poly.comp_i 0.000164 s: units.has_coe.equations._eqn_1 0.000068 s: pgame.has_inv.equations._eqn_1 0.034795 s: has_deriv_within_at.liminf_right_norm_slope_le 0.000295 s: pfun.ext 0.000446 s: measure_theory.simple_func.has_scalar.equations._eqn_1 0.019871 s: algebraic_geometry.PresheafedSpace.Γ_map_op 0.000836 s: set.prod_preimage_left 0.001656 s: set.mk_preimage_prod_left_fn_eq_if 0.000589 s: ae_measurable.nnnorm 0.003785 s: multiset.le_sum_nonempty_of_subadditive 0.002267 s: is_lawful_applicative.drec 0.000129 s: heq_of_eq_of_heq 0.000353 s: equiv.unique.equations._eqn_1 0.000450 s: nat.primrec.cases_on 0.000867 s: monoid_algebra.comm_ring._proof_7 0.450506 s: line_map_le_map_iff_slope_le_slope_left 0.444759 s: map_lt_line_map_iff_slope_lt_slope_left 0.464081 s: line_map_lt_map_iff_slope_lt_slope_left 0.051695 s: nnreal.sub_le_self 0.011725 s: asymptotics.is_O_pi 0.000949 s: list.lex.is_order_connected._match_1.equations._eqn_5 0.005834 s: tactic_doc._2150146987 0.000117 s: primcodable.bool.equations._eqn_1 0.050538 s: padic_int.has_sub._match_1._proof_1 0.000225 s: fin.add._sunfold 0.000419 s: triv_sq_zero_ext.snd_neg 0.000016 s: tactic.dsimp_config.memoize._default 0.014274 s: alg_hom.coe_cod_restrict 0.008602 s: AddMon.forget_reflects_isos.equations._eqn_1 0.329156 s: interval_integral.fderiv_within_integral_of_tendsto_ae 0.353861 s: polynomial.splitting_field.adjoin_root_set 0.046331 s: strict_mono_incr_on.order_iso.equations._eqn_1 0.062544 s: algebraic_geometry.PresheafedSpace.colimit_cocone_is_colimit.desc_c_app.equations._eqn_1 0.016584 s: equiv.set.insert_apply_left 0.004632 s: category_theory.braided_category.no_confusion 0.005598 s: category_theory.braided_category.mk.inj 0.004644 s: submonoid.localization_map.map_left_cancel 0.000198 s: is_commutative.drec_on 0.000445 s: ordnode.disjoint._sunfold 0.000432 s: set.well_founded_on.equations._eqn_1 0.000252 s: category_theory.equivalence.pow._main.equations._eqn_1 0.004140 s: lie_module_hom.has_neg.equations._eqn_1 0.004749 s: category_theory.with_initial.incl_lift_hom_app 0.126055 s: circle.topological_group.equations._eqn_1 0.019836 s: cardinal.lift_two_power 0.000262 s: ring_invo.mk'._proof_4 0.000355 s: measure_theory.locally_finite_measure.dcases_on 0.000949 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_5 0.000434 s: category_theory.cofinal.colimit_comp_coyoneda_iso._proof_8 0.004180 s: category_theory.cofinal.colimit_comp_coyoneda_iso 0.000292 s: add_le_of_le_sub_left 0.009152 s: equiv.equiv_congr_refl_right 0.039063 s: matrix.to_lin_alg_equiv_self 0.000218 s: 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AddCommGroup.mono_factorisation._proof_1 0.000271 s: AddCommGroup.mono_factorisation 0.000262 s: AddCommGroup.mono_factorisation.equations._eqn_1 0.000183 s: mvqpf.comp.equations._eqn_1 0.000023 s: tactic.interactive.mono_selection.right.inj 0.000019 s: tactic.interactive.mono_selection.right.inj_arrow 0.062728 s: fderiv_snd 0.013578 s: list.reduce_option_map 0.000323 s: pos_num.succ._main.equations._eqn_2 0.000035 s: pos_num.succ.equations._eqn_2 0.002542 s: bitraversable.tsnd_comp_tfst 0.001055 s: category_theory.preserves_colimit_of_shape_of_creates_colimits_of_shape_and_has_colimits_of_shape.equations._eqn_1 0.001145 s: normed_group.mk.inj_arrow 0.000152 s: category_theory.induced_category.equations._eqn_1 0.000331 s: turing.list_blank.cons.equations._eqn_1 0.006077 s: quadratic_form.associated_is_sym 0.013196 s: same_add_div 0.002208 s: filter.realizer.of_filter._match_4.equations._eqn_1 0.000150 s: int.even.decidable_pred.equations._eqn_1 0.000328 s: 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category_theory.lax_monoidal_functor.map_Mon_obj_one 0.003204 s: monoid_algebra.group_smul.linear_map.equations._eqn_1 0.000388 s: matrix.has_zero.equations._eqn_1 0.041145 s: category_theory.mono_over.lift_comp.equations._eqn_1 0.022932 s: lt_inv_mul_of_mul_lt 0.003578 s: int.div_le_self 0.000474 s: seq.corec.F._main.equations._eqn_2 0.000210 s: seq.corec.F.equations._eqn_2 0.000243 s: max.right_comm 0.000391 s: turing.TM1.stmt.ibelow 0.004205 s: prod.snd_eq_iff 0.001228 s: equiv.perm.r.decidable_rel.equations._eqn_1 0.001647 s: is_bounded_linear_map.drec 0.003979 s: diffeomorph.symm_refl 0.002901 s: function.injective.cancel_monoid_with_zero._proof_1 0.000777 s: add_submonoid.mrange_inl' 0.002353 s: category_theory.lax_braided_functor.braided' 0.058734 s: tendsto_at_bot_infi 0.000756 s: is_lawful_bifunctor.flip.equations._eqn_1 0.017867 s: affine_independent_iff_of_fintype 0.005405 s: alg_equiv.coe_restrict_scalars' 0.000185 s: 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category_theory.limits.walking_pair.right.inj_eq 0.000092 s: list.disjoint_of_disjoint_append_right_right 0.000070 s: game.has_le.equations._eqn_1 0.003707 s: add_submonoid.topological_closure_has_continuous_add.equations._eqn_1 0.000387 s: cont_t.run_cont_t_map_cont_t 0.001607 s: pgame.lt_zero 0.004437 s: basic_smooth_bundle_core.times_cont_mdiff_within_at_proj 0.003233 s: tangent_bundle.times_cont_mdiff_within_at_proj 0.000363 s: except.error.inj 0.000085 s: except.error.inj_arrow 0.000720 s: add_monoid_hom.of_map_sub.equations._eqn_1 0.004799 s: derivation.mk.inj_eq 0.000370 s: tree.repr._sunfold 0.000279 s: complex.rat_cast_re 0.000698 s: cardinal.mk_plift_of_true 0.000874 s: norm_num.nat_abs_neg 0.037572 s: ring.fractional_ideal.is_principal_iff 0.000679 s: algebraic_geometry.PresheafedSpace.forget_obj 0.002307 s: nat.pow_lt_iff_lt_left 0.000263 s: category_theory.limits.wide_pullback_shape.hom.no_confusion_type 0.000244 s: commute.inv_right_iff 0.000172 s: onote.split._sunfold 0.012526 s: strict_mono.order_iso.equations._eqn_1 0.003705 s: category_theory.nat_trans.remove_left_op.equations._eqn_1 0.001672 s: pi.left_cancel_monoid._proof_3 0.000174 s: add_equiv.inhabited.equations._eqn_1 0.001555 s: subsemiring.coe_supr_of_directed 0.000945 s: ring_hom.to_monoid_hom_eq_coe 0.610997 s: bernoulli_poly.exp_bernoulli_poly' 0.011539 s: category_theory.quotient.lift.is_lift_inv 0.009499 s: Top.local_predicate.cases_on 0.004896 s: Top.local_predicate.no_confusion_type 0.004112 s: Top.local_predicate.no_confusion 0.007393 s: Top.local_predicate.mk.inj 0.001605 s: free_abelian_group.monad.equations._eqn_1 0.001919 s: contracting_with.efixed_point_eq_of_edist_lt_top' 0.003716 s: turing.TM2to1.stmt_st_rec._main.equations._eqn_1 0.002399 s: turing.TM2to1.stmt_st_rec.equations._eqn_1 0.073526 s: times_cont_diff_at.cos 0.000922 s: normed_comm_ring.to_semi_normed_comm_ring.equations._eqn_1 0.000149 s: set.sInter.equations._eqn_1 0.019554 s: measure_theory.integral_integral_sub 0.001893 s: div_nonpos_of_nonneg_of_nonpos 0.000631 s: many_one_equiv.congr_left 0.000089 s: except.has_sizeof_inst 0.000191 s: eckmann_hilton.is_unital.cases_on 0.000070 s: ADE_inequality.E8.equations._eqn_1 0.002291 s: parser.bounded.digit.equations._eqn_1 0.004912 s: category_theory.equalizer.sieve.second_obj.inhabited.equations._eqn_1 0.005354 s: submonoid.localization_map.of_mul_equiv_of_dom._match_6.equations._eqn_1 0.000247 s: rsimp.config.mk.inj_eq 0.010031 s: filter.rcomap_rcomap 0.000472 s: filter.rcomap_compose 0.002045 s: affine.simplex.no_confusion 0.000105 s: nat.one_ne_bit1 0.000375 s: le_of_le_add_of_nonpos_left 0.001061 s: units.mk_of_mul_eq_one.equations._eqn_1 0.000359 s: con.has_le.equations._eqn_1 0.000505 s: free_add_magma.of.inj 0.000149 s: free_add_magma.of.inj_eq 0.000898 s: real.arctan.equations._eqn_1 0.001115 s: topological_space.opens.comap_val 0.000289 s: one_hom.congr_arg 0.000201 s: monad_run.rec_on 0.000352 s: with_top.has_lt.equations._eqn_1 0.000928 s: filter.has_inf.equations._eqn_1 0.000056 s: decidable_pred.equations._eqn_1 0.000299 s: asymptotics.is_O.neg_right 0.000172 s: cc_config.mk.sizeof_spec 0.000646 s: DFA.no_confusion 0.000317 s: DFA.mk.inj 0.000281 s: DFA.mk.inj_arrow 0.214319 s: real.arccos_cos 0.023293 s: nonarchimedean_group.cases_on 0.002179 s: is_totally_separated_singleton 0.002117 s: functor.const.applicative.equations._eqn_1 0.000572 s: equiv_functor.of_is_lawful_functor.equations._eqn_1 0.330205 s: finite_dimensional.proper_is_R_or_C.equations._eqn_1 0.000299 s: local_homeomorph.has_coe_to_fun.equations._eqn_1 0.060692 s: diffeomorph.times_cont_mdiff_on_trans_diffeomorph_right 0.029804 s: has_ftaylor_series_up_to.zero_eq' 0.007280 s: subalgebra.to_ordered_semiring.equations._eqn_1 0.000213 s: turing.partrec_to_TM2.cont'.fix.inj 0.000295 s: turing.partrec_to_TM2.cont'.fix.inj_eq 0.001298 s: AddGroup.add_group_obj.equations._eqn_1 0.000413 s: category_theory.is_skeleton_of.rec_on 0.006671 s: add_submonoid.to_nat_submodule.equations._eqn_1 0.000157 s: AddSemigroup.semigroup.to_has_mul.category_theory.bundled_hom.parent_projection.equations._eqn_1 0.001141 s: tactic.ring2.horner_expr.of_csexpr._main.equations._eqn_4 0.039865 s: lucas_lehmer.ω_pow_formula 0.011423 s: lucas_lehmer.ω_pow_eq_neg_one 0.032809 s: lucas_lehmer.ω_pow_eq_one 0.031590 s: lucas_lehmer.order_ω 0.021530 s: lucas_lehmer.order_ineq 0.008535 s: fin.comm_semigroup._match_4.equations._eqn_1 0.001617 s: submonoid.subsemiring_closure_coe 0.001281 s: submonoid.localization_map.mul_equiv_of_localizations_right_inv_apply 0.027789 s: algebra.lmul_left_injective 0.000590 s: pos_num.comm_monoid.equations._eqn_1 0.006311 s: structure_groupoid.local_invariant_prop.rec_on 0.000214 s: list.mbor.equations._eqn_1 0.000062 s: rat.ordered_ring.equations._eqn_1 0.029708 s: submodule.subtypeₗᵢ_to_linear_map 0.006670 s: alg_equiv.of_injective_field.equations._eqn_1 0.001383 s: category_theory.non_preadditive_abelian.rec_on 0.000964 s: measure_theory.ae_eq_fun.comp₂.equations._eqn_1 0.000464 s: tactic.ring2.horner_expr.add_aux._match_1.equations._eqn_3 0.089224 s: polynomial.degree_div_lt 0.046735 s: mv_power_series.C_eq_algebra_map 0.000179 s: monad_state.rec_on 0.019290 s: is_min_filter.sub 0.012240 s: simplex_category.skeletal_functor.equations._eqn_1 0.073332 s: is_Hausdorff.dcases_on 0.016155 s: order.ideal.order_top.equations._eqn_1 0.002720 s: category_theory.prod_preserves_connected_limits.forget_cone_X 0.048918 s: add_submonoid.closure_union 0.000434 s: disjoint_sdiff_sdiff 0.000435 s: is_R_or_C.I_mul_I 0.007738 s: eq_add_of_add_neg_eq 0.000088 s: poly.zero.equations._eqn_1 0.000640 s: roption.fix.approx._main.equations._eqn_1 0.035110 s: perfect_closure.r_iff 0.000449 s: category_theory.additive_category.no_confusion 0.000293 s: category_theory.additive_category.mk.inj 0.000178 s: category_theory.additive_category.mk.inj_arrow 0.000781 s: category_theory.presieve.is_sheaf.equations._eqn_1 0.003470 s: nat.lt_of_sub_lt_sub_left 0.009267 s: differentiable_add_const_iff 0.000533 s: category_theory.SheafOfTypes.inhabited 0.000407 s: category_theory.SheafOfTypes.inhabited.equations._eqn_1 0.018388 s: Mon_.equiv_lax_monoidal_functor_punit.unit_iso.equations._eqn_1 0.001899 s: category_theory.ulift.down.equations._eqn_1 0.003346 s: CommMon_.forget₂_Mon_obj_mul 0.079901 s: isometric.to_affine_equiv.equations._eqn_1 0.046131 s: category_theory.μ_iso_of_reflective.equations._eqn_1 0.001281 s: linear_isometry_equiv.bijective 0.009203 s: submodule.coe_inner 0.000133 s: nonote.has_to_string 0.000064 s: nonote.has_to_string.equations._eqn_1 0.004474 s: slim_check.gen.freq_aux._main.equations._eqn_2 0.001294 s: quiver.path.comp._main.equations._eqn_2 0.002190 s: order_topology.to_order_closed_topology._match_3.equations._eqn_1 0.004772 s: local_equiv.trans_target'' 0.029798 s: Ring.forget_preserves_limits.equations._eqn_1 0.000211 s: 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category_theory.shrink_homs.inverse_map 0.000145 s: dense_inducing.rec_on 0.038557 s: continuous.exists_forall_ge 0.010939 s: function.surjective.distrib_mul_action.equations._eqn_1 0.079096 s: interval_integral.interval_integrable_exp 0.025962 s: conditionally_complete_lattice.copy.equations._eqn_1 0.000674 s: category_theory.limits.limit.is_limit.equations._eqn_1 0.000099 s: has_bind.seq 0.000136 s: has_bind.seq.equations._eqn_1 0.007825 s: linear_ordered_comm_group_with_zero.lt_of_mul_lt_mul_left._default.equations._eqn_1 0.001013 s: linear_ordered_comm_group.div._default.equations._eqn_1 0.000336 s: add_zero_class.rec_on 0.000190 s: sym2.has_mem.equations._eqn_1 0.000860 s: tendsto_neg_nhds_within_Iio_neg 0.002111 s: filter.mem_Sup_sets 0.000755 s: local_equiv.is_image.of_image_eq 0.002448 s: semilattice_sup_bot.rec_on 0.000281 s: turing.TM2to1.st_act.pop.inj_arrow 0.000059 s: ℓ_infty_ℝ.equations._eqn_1 0.000585 s: mul_hom.single 0.000563 s: mul_hom.single.equations._eqn_1 0.000278 s: has_measurable_mul₂.drec 0.003789 s: cardinal.sup_eq_zero 0.004429 s: category_theory.limits.initial_unop_of_terminal._proof_1 0.000617 s: buffer.read._sunfold 0.000113 s: nat.odd.add_odd 0.000175 s: linarith.ineq.to_string._main.equations._eqn_1 0.072669 s: times_cont_diff_within_at.cos 0.034606 s: Module.forget₂_AddCommGroup_full.equations._eqn_1 0.013186 s: padic.metric_space.equations._eqn_1 0.006933 s: balanced.closure 0.000284 s: pos_num.cmp._main.equations._eqn_1 0.000063 s: pos_num.cmp.equations._eqn_1 0.001126 s: unique_diff_on.unique_mdiff_on 0.000407 s: set.mul_indicator_inv 0.008994 s: ennreal.top_mem_upper_bounds 0.001881 s: list.update_nth_eq_nil 0.000380 s: loc_path_connected_space.dcases_on 0.004440 s: le_div_iff_of_neg' 0.001330 s: category_theory.functor.is_equivalence_inv.equations._eqn_1 0.000355 s: ordnode.erase._match_1.equations._eqn_2 0.001492 s: mul_aut.conj_symm_apply 0.002697 s: is_pi_system.pi 0.004157 s: measure_theory.measure.pi_eq_generate_from 0.000300 s: int.neg._main.equations._eqn_2 0.000061 s: int.neg.equations._eqn_2 0.000942 s: int.bodd_neg 0.000747 s: option.bex_ne_none 0.000889 s: nat.linear_order.equations._eqn_1 0.000720 s: submodule.complete_lattice._match_1.equations._eqn_1 0.002844 s: list.dvd_sum 0.000476 s: function.bicompr.is_lawful_bifunctor.equations._eqn_1 0.001000 s: is_bounded_bilinear_map.differentiable_within_at 0.002168 s: category_theory.concrete_category.congr_hom 0.000117 s: io.catch.equations._eqn_1 0.000691 s: multiset.Ico.filter_le_of_le 0.001145 s: invertible_of_pos.equations._eqn_1 0.005536 s: list.rel_filter_map 0.000163 s: int.mod_mul_left_mod 0.002752 s: category_theory.subobject.of_le_comp_of_le_mk_assoc 0.000135 s: functor.add_const.functor.equations._eqn_1 0.000205 s: rbnode.rev_fold.equations._eqn_1 0.000235 s: io.random.equations._eqn_1 0.000740 s: semiquot.mk.equations._eqn_1 0.000724 s: finset.Ico.filter_le_of_le 0.001317 s: linear_ordered_semiring.decidable_eq._default.equations._eqn_1 0.003546 s: category_theory.is_iso_whisker_left.equations._eqn_1 0.000537 s: category_theory.equivalence.op_inverse 0.002143 s: multiset.le_prod_of_submultiplicative_on_pred 0.001005 s: multiset.le_prod_of_submultiplicative 0.000128 s: znum.mul._main.equations._eqn_4 0.000063 s: znum.mul.equations._eqn_4 0.000483 s: matrix.cons_val_zero' 0.033237 s: subring.to_ordered_comm_ring.equations._eqn_1 0.000224 s: bilin_form.inhabited 0.001607 s: ulift.distrib_mul_action.equations._eqn_1 0.015365 s: linear_ordered_add_comm_monoid.mk.inj 0.008440 s: linear_ordered_add_comm_monoid.mk.inj_arrow 0.029433 s: category_theory.monoidal.functor_category_monoidal.equations._eqn_1 0.000160 s: rat.has_sup.equations._eqn_1 0.000116 s: lattice.lt._default.equations._eqn_1 0.005310 s: quotient.lift₂.equations._eqn_1 0.006729 s: category_theory.limits.biproduct.matrix_equiv_symm_apply 0.001884 s: parser.mono.foldl.equations._eqn_1 0.003574 s: 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norm_cast.label.to_string.equations._eqn_1 0.000133 s: gt_irrefl 0.000258 s: filter.germ.comm_semiring._proof_13 0.000663 s: wseq.update_nth._match_1.equations._eqn_2 0.013968 s: category_theory.comonad.mk.inj 0.002861 s: quotient_group.preimage_mk_equiv_subgroup_times_set._match_1.equations._eqn_1 0.041556 s: bilin_form.mul_to_matrix_mul 0.009877 s: bounded_continuous_function.has_scalar'.equations._eqn_1 0.135850 s: _private.746892543.mul._sunfold 0.000197 s: ordered_comm_group.npow._default 0.026227 s: is_lawful_bitraversable.mk.inj_arrow 0.007320 s: real.cos_pi_div_sixteen 0.000531 s: list.eq_or_mem_of_mem_insert 0.044152 s: ae_seq.ae_seq_eq_mk_ae 0.033783 s: module.flat.dcases_on 0.000425 s: list.forall₂.rec_on 0.001340 s: category_theory.sum.swap.is_equivalence.equations._eqn_1 0.010610 s: circle_equiv_gen.equations._eqn_1 0.007654 s: measure_theory.measure.prod_dirac 0.002646 s: measure_theory.measure.dirac_prod_dirac 0.000560 s: 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s: semidirect_product.map_right 0.000789 s: bool.bnot_inj 0.000481 s: open_subgroup.semilattice_sup_top._proof_5 0.011607 s: category_theory.type_equiv_counit_iso_inv_app_app 0.007249 s: matrix.upper_two_block_triangular 0.091424 s: is_primitive_root.zmod_equiv_gpowers.equations._eqn_1 0.000143 s: add_monoid_hom.inhabited 0.000250 s: add_monoid_hom.inhabited.equations._eqn_1 0.014009 s: cau_seq.preorder._match_1.equations._eqn_1 0.008420 s: deriv_within_const_add 0.027592 s: add_monoid_hom.mk_ring_hom_of_mul_self_of_two_ne_zero.equations._eqn_1 0.001089 s: one_hom.comp.equations._eqn_1 0.000299 s: slim_check.printable_prop.mk.sizeof_spec 0.007585 s: filter.diff_mem_inf_principal_compl 0.011496 s: fin.add_one_pos 0.012113 s: fin.pred_add_one 0.000312 s: add_monoid.to_smul_with_zero.equations._eqn_1 0.000366 s: diff_mem_nhds_within_compl 0.018595 s: setoid.correspondence._match_4.equations._eqn_1 0.019759 s: derivation.is_scalar_tower.equations._eqn_1 0.009177 s: lie_ideal.comap_mono 0.000142 s: uniform_space.completion.abstract_completion.inhabited.equations._eqn_1 0.000586 s: add_localization.away.add_monoid_of.equations._eqn_1 0.005541 s: category_theory.limits.kernel.of_comp_iso.equations._eqn_1 0.000242 s: polynomial.coe_to_power_series.equations._eqn_1 0.002484 s: list.bind_map 0.000248 s: inv_of_eq_group_inv 0.001008 s: is_R_or_C.rat_cast_re 0.000639 s: category_theory.as_iso.equations._eqn_1 0.001309 s: linear_map.has_add.equations._eqn_1 0.000694 s: filter.germ.comm_semigroup.equations._eqn_1 0.000063 s: num.min_fac.equations._eqn_1 0.000973 s: category_theory.symmetric_category.rec_on 0.000695 s: slim_check.fin.sampleable'.equations._eqn_1 0.004008 s: Ring.limit_ring.equations._eqn_1 0.003844 s: finset.nat.prod_antidiagonal_eq_prod_range_succ_mk 0.017786 s: linear_map.automorphism_group.equations._eqn_1 0.002074 s: fixed_points.complete_lattice._match_3.equations._eqn_1 0.000703 s: turing.TM1.step_aux._sunfold 0.021871 s: 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monoid_hom.inl.equations._eqn_1 0.000225 s: relator.right_total.cases_on 0.003465 s: traversable.naturality' 0.000274 s: roption.some_decidable.equations._eqn_1 0.000214 s: measure_theory.measure.dirac.equations._eqn_1 0.002906 s: AddMagma.bundled_hom.equations._eqn_1 0.000281 s: prod.add_action._proof_1 0.000127 s: mvpfunctor.inhabited 0.000093 s: mvpfunctor.inhabited.equations._eqn_1 0.001064 s: set.add_semigroup.equations._eqn_1 0.000989 s: ordnode.find_gt._main.equations._eqn_2 0.000241 s: ordnode.find_gt.equations._eqn_2 0.001378 s: indicator_union_eventually_eq 0.000102 s: denumerable.nat.equations._eqn_1 0.001993 s: seq.coinduction 0.000491 s: nat.of_add_mul 0.000682 s: add_localization.add_equiv_of_quotient.equations._eqn_1 0.000159 s: emetric_space.to_uniform_space'.equations._eqn_1 0.040419 s: category_theory.thin_skeleton.lower_adjunction.equations._eqn_1 0.000545 s: mvpfunctor.M.mk 0.051209 s: bounded_continuous_function.to_Lp_hom._proof_5 0.006624 s: submonoid.mk.inj_arrow 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category_theory.limits.complete_lattice.limit_iso_infi.equations._eqn_1 0.057024 s: finite_dimensional.linear_equiv.quot_equiv_of_equiv.equations._eqn_1 0.000376 s: name.to_string_with_sep._main.equations._eqn_2 0.000175 s: Fintype.category_theory.concrete_category.equations._eqn_1 0.011536 s: multiset.sum.is_add_monoid_hom.equations._eqn_1 0.004740 s: comm_semiring.sizeof 0.000756 s: set.pair_comm 0.000207 s: category_theory.is_filtered.drec_on 0.004899 s: ordinal.typein_iso.equations._eqn_1 0.001868 s: category_theory.limits.has_zero_morphisms_punit._proof_3 0.000938 s: category_theory.limits.has_zero_morphisms_punit 0.000638 s: category_theory.limits.has_zero_morphisms_punit.equations._eqn_1 0.002362 s: subgroup.right_coset_equiv_subgroup._proof_3 0.002865 s: function.surjective.semimodule._proof_4 0.136826 s: algebra.adjoin.power_basis.equations._eqn_1 0.001117 s: rbmap.mem._match_1.equations._eqn_3 0.000661 s: Lim_eq_iff 0.015624 s: 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lazy_list.find._sunfold 0.000065 s: snum.tail._sunfold 0.001048 s: Pi.t2_space 0.000808 s: Pi.t2_space.equations._eqn_1 0.000205 s: lie_subalgebra.inhabited 0.000194 s: lie_subalgebra.inhabited.equations._eqn_1 0.000044 s: binder_info.implicit.sizeof_spec 0.002115 s: bounded_continuous_function.normed_comm_ring.equations._eqn_1 0.000098 s: nzsnum.not._sunfold 0.031424 s: category_theory.limits.has_biproduct.of_has_coproduct 0.000572 s: category_theory.limits.has_finite_biproducts.of_has_finite_coproducts 0.001954 s: list.mmap_with_index'_aux._main.equations._eqn_2 0.000245 s: list.mmap_with_index'_aux.equations._eqn_2 0.008618 s: list.mmap_with_index'_aux_eq_mmap_with_index_aux 0.005212 s: finsupp.on_finset_prod 0.004340 s: topological_space.open_nhds.map_id_obj' 0.000244 s: mvqpf.comp.inhabited 0.000253 s: mvqpf.comp.inhabited.equations._eqn_1 0.008910 s: _private.2667486687.g._sunfold 0.013263 s: galois_insertion.lift_bounded_lattice.equations._eqn_1 0.012659 s: 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category_theory.functor.associator.equations._eqn_1 0.026959 s: subalgebra.of_under.equations._eqn_1 0.002558 s: monoid_algebra.comm_ring._proof_4 0.000164 s: turing.reaches₁.equations._eqn_1 0.000338 s: AddCommGroup.colimits.prequotient.zero.sizeof_spec 0.000212 s: countable_Inter_filter.cases_on 0.000493 s: has_measurable_mul₂.drec_on 0.001135 s: filter.realizer.principal_F 0.013934 s: ring.direct_limit.lift_of 0.001691 s: lie_module.is_irreducible.irreducible 0.004973 s: additive.is_add_group_hom 0.032009 s: linear_pmap.fst.equations._eqn_1 0.022559 s: category_theory.limits.is_colimit_map_cocone_cofork_equiv.equations._eqn_1 0.002155 s: circle_deg1_lift.translation_number_le_of_le_add_nat 0.001995 s: Mod.comp.equations._eqn_1 0.002830 s: neg_neg_sub_neg 1.593819 s: Algebra.forget₂_Module_preserves_limits_aux.equations._eqn_1 0.000438 s: ordnode.valid.left 0.087107 s: int.cast_min 0.011543 s: Set.sep._match_1.equations._eqn_1 0.000115 s: onote.top_below._main.equations._eqn_1 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generalized_continued_fraction.int_fract_pair.coe_to_int_fract_pair 0.000954 s: dlex_preorder.equations._eqn_1 0.000100 s: environment.implicit_infer_kind.cases_on 0.000033 s: environment.implicit_infer_kind.no_confusion_type 0.161892 s: measure_theory.integrable.integral_norm_prod_right 0.022122 s: polynomial.of_subring.equations._eqn_1 0.013172 s: alg_equiv.comap.equations._eqn_1 0.000285 s: path.has_coe_to_fun.equations._eqn_1 0.000038 s: turing.partrec_to_TM2.tr_llist.equations._eqn_1 0.089860 s: interval_integral.interval_integrable_cos 0.018545 s: parser.many_eq_nil_of_done 0.009390 s: submonoid.localization_map.mul_equiv_of_localizations_left_inv 0.013527 s: linear_equiv.of_submodule'.equations._eqn_1 0.001796 s: list.foldl_eq_of_comm' 0.001694 s: list.foldl_eq_foldr' 0.000138 s: list.eq_of_suffix_of_length_eq 0.002257 s: set_inclusion.is_monoid_hom 0.003746 s: set_inclusion.is_monoid_hom.equations._eqn_1 0.001729 s: 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map_lt_line_map_iff_slope_lt_slope 0.397369 s: line_map_lt_map_iff_slope_lt_slope 0.000054 s: io.process.stdio.inherit.inj_arrow 0.089648 s: algebraic_geometry.to_basic_open_mk' 0.001113 s: con.quotient.decidable_eq 0.001060 s: con.quotient.decidable_eq.equations._eqn_1 0.000545 s: sym2.from_rel.equations._eqn_1 0.008578 s: slim_check.subtype_var_testable._match_1.equations._eqn_2 0.002759 s: omega_complete_partial_order.mk.inj_arrow 0.000050 s: name.anonymous.sizeof_spec 0.002829 s: category_theory.colimit_of_representable.equations._eqn_1 0.011042 s: inv_le_iff_one_le_mul' 0.024452 s: lt_geom 0.003084 s: slim_check.total_function.repr_aux.equations._eqn_1 0.000357 s: category_theory.limits.has_binary_biproduct.drec_on 0.000441 s: primcodable.fin.equations._eqn_1 0.000295 s: state_t.mk.inj 0.000997 s: qpf.fix.rec_unique 0.000087 s: znum.of_int'._sunfold 0.010198 s: category_theory.with_terminal.incl_lift.equations._eqn_1 0.000275 s: fin2.opt_of_nat._sunfold 0.005047 s: 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category_theory.subobject.lower_equivalence_unit_iso 0.037454 s: polynomial.lifts_iff_lifts_ring 0.010914 s: colex.forall_lt_of_colex_lt_of_forall_lt 0.004716 s: function.injective.add_group.equations._eqn_1 0.000132 s: has_le.le.is_refl.equations._eqn_1 0.014699 s: category_theory.over.post.equations._eqn_1 0.000492 s: filter.eventually_eq.is_local_min_on_iff 0.006928 s: continuous_linear_map.has_coe_to_times_cont_mdiff_map 0.003716 s: continuous_linear_map.has_coe_to_times_cont_mdiff_map.equations._eqn_1 0.008707 s: Top.presheaf.germ.equations._eqn_1 0.000220 s: onote.NF.zero.equations._eqn_1 0.000198 s: list.merge.equations._eqn_1 0.000254 s: set.has_mul.equations._eqn_1 0.000819 s: reader_t.orelse.equations._eqn_1 0.000679 s: int.sub_lt_sub_of_le_of_lt 0.000476 s: multiset.union_le_add 0.003767 s: measure_theory.outer_measure.map_top 0.001228 s: measure_theory.outer_measure.restrict_univ 0.001409 s: measure_theory.outer_measure.map_top_of_surjective 0.008423 s: 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nnreal.le_of_add_le_left 0.003925 s: category_theory.projective.drec_on 0.000061 s: omega.nat.preform.sub_free.equations._eqn_1 0.000112 s: pequiv.semilattice_inf_bot._proof_1 0.000584 s: pequiv.semilattice_inf_bot._proof_5 0.012910 s: pequiv.semilattice_inf_bot 0.000771 s: nat.prime.not_dvd_mul 0.019742 s: category_theory.monoidal_nat_trans.hcomp.equations._eqn_1 0.001813 s: pfun_fintype.equations._eqn_1 0.025834 s: dfinsupp.map_range.add_monoid_hom_comp 0.000217 s: pSet.func.equations._eqn_1 0.006132 s: add_units.vadd_perm_hom._proof_1 0.000680 s: add_units.vadd_perm_hom 0.002195 s: add_units.vadd_perm_hom.equations._eqn_1 0.000223 s: tactic.rewrite_search.dir_pair.get._main.equations._eqn_2 0.000407 s: turing.TM1to1.Λ'.rec_on 0.001768 s: finset.mem_off_diag 0.419783 s: complex.re_clm.equations._eqn_1 0.000361 s: omega.int.is_nnf._main.equations._eqn_2 0.000035 s: omega.int.is_nnf.equations._eqn_2 0.006634 s: subfield.mk.inj 0.004876 s: subfield.mk.inj_arrow 0.006492 s: with_zero.canonically_ordered_add_monoid._match_1.equations._eqn_1 0.000875 s: slim_check.nat_ge.sampleable._match_1.equations._eqn_1 0.001205 s: finset.univ_filter_card_eq 0.014034 s: closure_image_mem_nhds_of_uniform_inducing 0.004268 s: dfinsupp.map_range.add_monoid_hom.equations._eqn_1 0.004593 s: lie_module.rec_on 0.003994 s: category_theory.monoidal.CommMon_functor_category_equivalence_inverse 0.003275 s: category_theory.functor.map_End 0.001308 s: mv_polynomial.R.finite_dimensional.equations._eqn_1 0.002156 s: category_theory.functor.const.unop_functor_op_obj_map 0.000173 s: topological_space.first_countable_topology.drec_on 0.033242 s: bernstein_polynomial.derivative_zero 0.025882 s: lie_hom.ker_le_comap 0.000250 s: option.lhoare._main.equations._eqn_2 0.000096 s: option.lhoare.equations._eqn_2 0.003729 s: open_subgroup.mk.inj_eq 0.000719 s: compact_iff_finite_subfamily_closed 0.000360 s: witt_vector.teichmuller_fun.equations._eqn_1 0.000384 s: commute.self_cast_nat_mul 0.000305 s: inv_image.irreflexive 0.024312 s: category_theory.yoneda'_comp 0.003039 s: category_theory.subobject.map.equations._eqn_1 0.000202 s: has_lt.lt.is_irrefl.equations._eqn_1 0.002243 s: category_theory.limits.has_kernels.drec_on 0.000905 s: injective_of_lt_imp_ne 0.000852 s: wseq.update_nth._match_1.equations._eqn_3 0.000127 s: free_add_magma.of.inj_arrow 0.000353 s: functor.const.equations._eqn_1 0.000229 s: embedding.cases_on 0.000732 s: num.div._main.equations._eqn_4 0.007609 s: pnat.sub_coe 0.010285 s: pnat.add_sub_of_lt 0.000209 s: is_closed.is_lub_mem 0.000822 s: slim_check.sampleable.functor.equations._eqn_1 0.000121 s: normed_group_hom.has_sizeof_inst 0.046083 s: category_theory.limits.limit_curry_swap_comp_lim_iso_limit_curry_comp_lim_hom_π_π 0.006387 s: ring_hom.cod_restrict'.equations._eqn_1 0.027947 s: finsupp.disjoint_iff 0.000564 s: order_dual.semilattice_inf_top._proof_4 0.007295 s: order_dual.semilattice_inf_top 0.009416 s: order_dual.semilattice_inf_top.equations._eqn_1 0.000174 s: pgame.left_moves.equations._eqn_1 0.001309 s: cardinal.mk_preimage_of_subset_range 0.002550 s: cardinal.mk_subset_ge_of_subset_image 0.048625 s: adjoin_root.lift_hom.equations._eqn_1 0.011344 s: category_theory.iso.conj_Aut_gpow 0.000613 s: category_theory.representable.sizeof 0.005033 s: int.preimage_Ioo 0.000782 s: polynomial.degree_mul_X_pow 0.000157 s: is_mul_hom.cases_on 0.000034 s: fp.rmode.inhabited 0.011258 s: boolean_algebra.core.rec_on 0.000357 s: subtype.has_equiv.equations._eqn_1 0.000406 s: pfunctor.obj.inhabited.equations._eqn_1 0.000139 s: is_local_max.equations._eqn_1 0.000798 s: quotient_group.right_rel_decidable.equations._eqn_1 0.000170 s: has_sub.mk.inj 0.013169 s: nonneg_add_comm_group.to_ordered_add_comm_group.equations._eqn_1 0.000201 s: ultrafilter.topological_space.equations._eqn_1 0.000184 s: add_magma.free_add_semigroup.equations._eqn_1 0.000198 s: int.fdiv.equations._eqn_1 0.000878 s: parser.static.mmap'.equations._eqn_1 0.002284 s: equiv.perm_congr_symm_apply 0.001261 s: category_theory.triangulated.triangle.mk_obj₂ 0.052148 s: uniform_space.core.sum._match_3.equations._eqn_1 0.000711 s: _nest_2_2.tactic.rewrite_search.using_conv.app_addr._mut_.mk_2.sizeof_spec 0.006167 s: wseq.head_nil 0.003110 s: category_theory.adjunction.mk_of_unit_counit_counit 0.014073 s: filter.tendsto.at_top_of_mul_const 0.001577 s: affine_map.coe_fn_injective 0.000071 s: nat.digit_succ.equations._eqn_1 0.011042 s: continuous_map.div_comp 0.000055 s: norm_cast.label.has_repr.equations._eqn_1 0.000048 s: right_cancel_semigroup.has_sizeof_inst 0.000040 s: Ring.equations._eqn_1 0.000577 s: submonoid.to_linear_ordered_comm_monoid._proof_3 0.003934 s: submonoid.to_linear_ordered_comm_monoid 0.005839 s: submonoid.to_linear_ordered_comm_monoid.equations._eqn_1 0.001213 s: gaussian_int.nat_cast_nat_abs_norm 0.002476 s: category_theory.limits.reflects_limit.mk.inj_arrow 0.000097 s: tactic.itauto.prop.var.inj_arrow 0.002794 s: ordinal.partial_order._match_12.equations._eqn_1 0.000036 s: turing.partrec_to_TM2.cont'.halt.inj_arrow 0.001177 s: ennreal.ne_top_homeomorph_nnreal.equations._eqn_1 0.144818 s: alternating_map.dom_coprod.summand._match_1.equations._eqn_1 0.007116 s: hyperreal.not_infinite_neg_add_infinite_pos 0.001505 s: fin_succ_equiv'_symm_none 0.027772 s: locally_finite.realizer.mk.inj_eq 0.002271 s: neg_lt_sub_iff_lt_add' 0.010505 s: lie_equiv.of_subalgebras_apply 0.081643 s: skew_adjoint_lie_subalgebra_equiv_apply 0.011826 s: ring_equiv.coe_prod_comm_symm 0.000631 s: ordinal.cof_type 0.007606 s: equiv.perm.extend_domain_refl 0.001327 s: computation.parallel_rec 0.000281 s: sigma.decidable_eq._sunfold 0.001067 s: hash_map.valid.drec_on 0.000380 s: monad_io_environment.mk.inj 0.000270 s: monad_io_environment.mk.inj_arrow 0.002970 s: tensor_algebra.to_exterior_ι 0.001091 s: category_theory.lax_braided_functor.id_to_lax_monoidal_functor 0.000150 s: 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category_theory.adjunction.functoriality_counit.equations._eqn_1 0.006813 s: category_theory.simplicial_object.δ_comp_σ_self 0.000635 s: multiset.nodup_iff_pairwise 0.011435 s: dihedral_group.group.equations._eqn_1 0.000131 s: free_add_semigroup.of.equations._eqn_1 0.062802 s: inv_le_one_iff 0.000918 s: category_theory.functor.closed_sieves_obj 0.000526 s: power_series.inv_units_sub.equations._eqn_1 0.008952 s: add_monoid.mk.inj_arrow 0.000517 s: category_theory.limits.wide_pushout_shape.hom.rec_on 0.002295 s: parser.prog.eof 0.002576 s: encodable.equiv_range_encode.equations._eqn_1 0.000241 s: hahn_series.inhabited.equations._eqn_1 0.001660 s: ordinal.is_normal.le_nfp 0.000624 s: set.Iic_diff_Iic 0.000265 s: ultrafilter.of_coe 0.000138 s: preorder_hom.coe_id 0.000434 s: list.repeat_subset_singleton 0.002537 s: multiset.repeat_subset_singleton 0.000445 s: category_theory.limits.reflects_limit_of_reflects_limits_of_shape.equations._eqn_1 0.000041 s: pSet.type._sunfold 0.000503 s: 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0.000501 s: nat.subtype.succ.equations._eqn_1 0.001008 s: metric.Hausdorff_dist_self_closure 0.000056 s: tactic.unfold_config.proj._default.equations._eqn_1 0.000031 s: environment.implicit_infer_kind.implicit.inj_arrow 0.319558 s: padic.is_absolute_value.equations._eqn_1 0.000263 s: roption.get_or_else.equations._eqn_1 0.038628 s: quotient_add_group.lift_mk 0.002724 s: quotient_add_group.ker_lift_mk 0.000364 s: measure_theory.ae_eq_fun.equations._eqn_1 0.004413 s: set.Iic_union_Ioo_eq_Iio 0.000106 s: nat.discrete_topology.equations._eqn_1 0.013998 s: subfield.pow_mem 0.001021 s: homeomorph.prod_comm.equations._eqn_1 0.012232 s: linear_ordered_add_comm_group.mk.sizeof_spec 0.003221 s: submonoid.to_comm_monoid.equations._eqn_1 0.184538 s: vector_space.dual_dim_eq 0.024082 s: category_theory.monoidal_category.right_assoc_tensor_map 0.019919 s: subsemiring.subtype.equations._eqn_1 0.069555 s: field_of_integral_domain.equations._eqn_1 0.011928 s: pell.yz_succ 0.000527 s: coe_ff 0.007904 s: 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category_theory.biprod.unipotent_upper.equations._eqn_1 0.000344 s: CommRing.colimits.prequotient.zero.inj_arrow 0.001221 s: local_equiv.eq_on_source.symm_eq_on 0.000249 s: category_theory.shrink_homs.from_shrink_homs.equations._eqn_1 0.000285 s: omega.nat.preterm.val._sunfold 0.005869 s: Fintype.skeleton.incl.equations._eqn_1 0.008915 s: category_theory.functor.map_cone_postcompose_equivalence_functor_hom_hom 0.000988 s: category_theory.split_epi.mk.inj_arrow 0.003128 s: submodule.coe_of_le 0.002672 s: function.semiconj.symm_adjoint 0.004145 s: filter.tendsto_iff_ptendsto_univ 0.000629 s: finset.card_eq_sum_card_image 0.002747 s: alg_hom.finite_type.of_surjective 0.002928 s: category_theory.End.monoid.equations._eqn_1 0.006059 s: local_equiv.trans_symm_self 0.000513 s: finmap.mem_of_lookup_eq_some 0.000373 s: add_equiv.has_coe_to_fun.equations._eqn_1 0.002686 s: measure_theory.L1.ae_measurable_coe_fn 0.000243 s: cardinal.aleph'.rel_iso.equations._eqn_1 0.006610 s: category_theory.comma.map_right_id_hom_app_left 0.001001 s: function.surjective.distrib.equations._eqn_1 0.002615 s: linear_map.inj_of_disjoint_ker 0.000082 s: unique.subsingleton_unique.equations._eqn_1 0.001799 s: _private.836590621.poly_binom_aux1.equations._eqn_1 0.001463 s: slim_check.minimize.equations._eqn_1 0.034873 s: ideal.comm_semiring.equations._eqn_1 0.036179 s: complete_boolean_algebra.rec_on 0.005945 s: pregroupoid.mk.sizeof_spec 0.001257 s: category_theory.limits.cone_of_split_mono.equations._eqn_1 0.010939 s: fin.zero_mul 0.000150 s: nonote.has_add.equations._eqn_1 0.000460 s: id.bind_eq 0.000884 s: finmap.has_emptyc.equations._eqn_1 0.001948 s: constr_self 0.000056 s: tactic.interactive.mono_key.equations._eqn_1 0.001807 s: slim_check.var_testable._match_1.equations._eqn_1 0.003030 s: matrix.reindex_linear_equiv_apply 0.000137 s: parse_result.rec_on 0.000731 s: parser.static.failure.equations._eqn_1 0.001305 s: pgame.inv_val._sunfold 0.002736 s: add_equiv.prod_add_units._proof_1 0.000127 s: real.has_le.equations._eqn_1 0.000888 s: opposite.mul_one_class.equations._eqn_1 0.000879 s: add_monoid.in_closure.dcases_on 0.000286 s: quiver.rooted_connected.drec_on 0.006287 s: set.disjoint_image_image 0.000652 s: asymptotics.is_O_refl_left 0.011302 s: continuous_comm_group.equations._eqn_1 0.000071 s: composition.has_sizeof_inst 0.000022 s: environment.implicit_infer_kind.relaxed_implicit.inj 0.001502 s: category_theory.costructured_arrow.mk_right 0.001409 s: free_add_magma.map_add 0.002617 s: category_theory.adjunction.left_adjoint_of_equiv_map 0.000321 s: slim_check.total_function.apply.equations._eqn_1 0.003380 s: monoid.End.monoid.equations._eqn_1 0.005158 s: filter.germ.monoid.equations._eqn_1 0.000709 s: pnat.gcd_rel_right' 0.000064 s: tactic.itauto.and_kind.eq.inj_eq 0.000316 s: mvpfunctor.last.equations._eqn_1 0.001572 s: set.maps_image_to 0.003009 s: commute.bit1_right 0.003293 s: quadratic_form.comp.equations._eqn_1 0.000085 s: std_range.equations._eqn_1 0.000052 s: bounded_random.has_sizeof_inst 0.001092 s: semi_normed_ring.mk.inj_arrow 0.411439 s: one_div_lt_neg_one 0.527491 s: matrix.rank_vec_mul_vec 0.145958 s: real.subgroup_dense_or_cyclic 0.000132 s: category_theory.limits.parallel_pair._match_1.equations._eqn_2 0.000380 s: computation.bisim_o._main.equations._eqn_3 0.000092 s: computation.bisim_o.equations._eqn_3 0.019553 s: homeomorph.is_O_congr 0.000029 s: to_additive.value_type.has_sizeof_inst 0.002450 s: linear_isometry_equiv.diam_image 0.004030 s: category_theory.subobject.iso_of_eq.equations._eqn_1 0.007302 s: fin.cycle_range_zero 0.001031 s: fin.cycle_range_zero' 0.000351 s: rel.dom.equations._eqn_1 0.007364 s: category_theory.limits.types.product_limit_cone.equations._eqn_1 0.000429 s: slim_check.gen.sized._match_1.equations._eqn_1 0.000392 s: roption.restrict._main.equations._eqn_1 0.047568 s: continuous_linear_equiv.to_span_nonzero_singleton_coord 0.012445 s: continuous_multilinear_map.to_continuous_linear_map._proof_3 0.001201 s: pnat.lcm_coe 0.000339 s: onote.to_string.equations._eqn_3 0.001081 s: generate_pi_system_subset_self 0.000130 s: generate_pi_system_eq 0.103795 s: hyperreal.infinite_neg_of_tendsto_bot 0.021133 s: bilin_form.orthogonal_le 0.000243 s: AddCommGroup.image_iso_range._proof_3 0.004669 s: AddCommGroup.image_iso_range 0.007639 s: tactic_doc._755684101 0.000372 s: slim_check.ulift.sampleable_functor._match_1.equations._eqn_1 0.000332 s: mul_le_of_mul_le_left 0.207469 s: nat.digits_lt_base 0.000128 s: linarith.ineq.cmp._main.equations._eqn_2 0.000730 s: category_theory.comma.inhabited 0.000749 s: category_theory.comma.inhabited.equations._eqn_1 0.028031 s: pnat.add_right_cancel_semigroup.equations._eqn_1 0.003635 s: category_theory.limits.reflects_limit.mk.sizeof_spec 0.000113 s: add_monoid.has_scalar_nat.equations._eqn_1 0.000140 s: is_incomp_trans.cases_on 0.002757 s: category_theory.functor.sum_obj_inr 0.000429 s: wseq.any._match_1.equations._eqn_2 0.004142 s: affine_map.coe_zero 0.040263 s: field.to_division_ring.equations._eqn_1 0.000065 s: tactic.apply_cfg.instances 0.012690 s: alg_equiv.to_lie_equiv_symm_apply 0.028892 s: mv_polynomial.degrees_sum 0.190473 s: asymptotics.is_o_norm_pow_norm_pow 0.022707 s: set.fintype_bUnion'.equations._eqn_1 0.031231 s: lie_subalgebra_of_subalgebra.equations._eqn_1 0.003462 s: topological_space.compacts.semilattice_sup_bot.equations._eqn_1 0.004933 s: function.commute.comp_iterate 0.001060 s: int.of_nat_add_neg_succ_of_nat_of_ge 0.001546 s: category_theory.limits.mono_factorisation.of_comp_iso.equations._eqn_1 0.000845 s: homological_complex.inhabited.equations._eqn_1 0.000950 s: category_theory.reflects_isomorphisms.drec 0.000307 s: category_theory.is_isomorphic_setoid._match_2.equations._eqn_1 0.000823 s: linear_equiv.nonempty_equiv_iff_dim_eq 0.004400 s: monoid.image_closure 0.001510 s: ordnode.split3._main.equations._eqn_2 0.000429 s: ordnode.split3.equations._eqn_2 0.019563 s: fin_prod_fin_equiv._match_1.equations._eqn_1 0.002381 s: nat.divisors_subset_of_dvd 0.012516 s: is_subgroup.center_normal.equations._eqn_1 0.004702 s: category_theory.center.category_theory.monoidal_category.equations._eqn_1 0.000855 s: times_cont_diff_at_fst 0.000931 s: locally_constant.apply_eq_of_is_preconnected 0.001279 s: parser.unfailing.remaining.equations._eqn_1 0.000082 s: category_theory.limits.has_images.has_sizeof_inst 0.011308 s: add_submonoid.localization_map.add_equiv_of_add_equiv_eq_map_apply 0.002497 s: continuous_map.add_equiv_bounded_of_compact_symm_apply 0.068274 s: differentiable_at_inverse 0.057916 s: submodule.equiv_subtype_map._match_1.equations._eqn_1 0.000919 s: add_submonoid.localization_map.away_map.neg_self.equations._eqn_1 0.062707 s: polynomial.pow_add_expansion._sunfold 0.000476 s: equiv.mul_zero_one_class._proof_2 0.059938 s: continuous_linear_equiv.coord_to_span_nonzero_singleton 0.009805 s: add_monoid_hom.comp_neg 0.000292 s: ematch_config.mk.inj 0.000078 s: ematch_config.mk.inj_arrow 0.009420 s: prime_multiset.coe_pnat_hom.equations._eqn_1 0.000420 s: option_t.mk.inj 0.000146 s: option_t.mk.inj_arrow 0.008778 s: linear_ordered_cancel_comm_monoid.mk.sizeof_spec 0.002267 s: pequiv.partial_order.equations._eqn_1 0.042227 s: Module.adj.equations._eqn_1 0.000857 s: wseq.head_terminates.equations._eqn_1 0.000551 s: local_equiv.eq_on_source_setoid.equations._eqn_1 0.095366 s: fderiv_ccos 0.000180 s: zeroth_homotopy.inhabited.equations._eqn_1 0.000296 s: submonoid.set_like.equations._eqn_1 0.000546 s: add_submonoid.has_zero.equations._eqn_1 0.013607 s: subgroup.is_cyclic._match_5.equations._eqn_1 0.000384 s: Group.group.equations._eqn_1 0.004587 s: differentiable_on_const_add_iff 0.004731 s: differentiable_on_const_sub_iff 0.490387 s: Module.Mon_Module_equivalence_Algebra._proof_10 0.000410 s: matrix.transpose_empty_cols 0.001355 s: tactic.norm_fin.normalize_fin.zero 0.012607 s: continuous_linear_map.coe_restrict_scalars 0.027817 s: max_div_div_left' 0.005673 s: category_theory.limits.cones.whiskering_map_hom 0.000470 s: holor.add_comm_semigroup.equations._eqn_1 0.000544 s: turing.list_blank.bind.equations._eqn_1 0.004685 s: mdifferentiable_on.comp 0.000270 s: parser.err_static.dcases_on 0.000441 s: pSet.definable.mk.sizeof_spec 0.000079 s: pos_num.sub'.equations._eqn_4 0.084225 s: tensor_algebra.induction 0.001431 s: linear_map.coe_mul 0.006878 s: qpf.quotient_qpf._proof_2 0.002105 s: qpf.quotient_qpf 0.000215 s: eq_of_le_of_forall_ge_of_dense 0.000644 s: real.is_conjugate_exponent.one_div_ne_zero 0.000137 s: int.gcd_a._sunfold 0.002335 s: category_theory.is_filtered_or_empty.drec 0.005733 s: fraction_ring.equations._eqn_1 0.056446 s: CommMon_Type_equivalence_CommMon.inverse.equations._eqn_1 0.008255 s: omega_limit_subset_closure_fw_image 0.006138 s: flow.omega_limit_omega_limit 0.030535 s: algebra.finite_presentation.equations._eqn_1 0.119348 s: adic_completion.of_apply 0.024733 s: fin.comm_semigroup._match_1.equations._eqn_1 0.012185 s: list.drop_eq_nil_iff_le 0.000597 s: category_theory.has_lifting_property'.equations._eqn_1 0.050922 s: matrix.to_lin_alg_equiv_mul 0.000836 s: pi.ordered_cancel_comm_monoid._proof_11 0.096483 s: subalgebra.is_algebraic_iff 0.027394 s: dfinsupp.erase_def 0.002806 s: alg_equiv.sizeof 0.000298 s: alg_equiv.has_sizeof_inst 0.000809 s: DFA.mk.inj_eq 0.002048 s: ordnode.of_asc_list_aux₁.equations._eqn_1 0.000128 s: is_right_id.rec_on 0.000501 s: countable_Inter_filter.dcases_on 0.001031 s: set.ite_univ 0.001481 s: parser.step.digit.equations._eqn_1 0.001473 s: omega_complete_partial_order.lift.equations._eqn_1 0.192008 s: pre_tilt.integral_domain.equations._eqn_1 0.000527 s: mvqpf.quot1.inhabited.equations._eqn_1 0.000894 s: category_theory.triangulated.triangle.inv_rotate_obj₂ 0.000312 s: parser.err_static.guard.equations._eqn_1 0.000576 s: sub_mul_action.coe_mk 0.017594 s: slim_check.or.printable_prop.equations._eqn_1 0.000276 s: category_theory.limits.fintype_walking_parallel_pair.equations._eqn_1 0.000077 s: norm_cast.label.of_string.equations._eqn_2 0.000356 s: finset.min.equations._eqn_1 0.000452 s: equiv.d_array_equiv_fin.equations._eqn_1 0.000523 s: is_subgroup.drec 0.020780 s: multilinear_map.add_comm_monoid.equations._eqn_1 0.000536 s: prod.ωSup_snd 0.001125 s: category_theory.discrete.equivalence_functor 0.000163 s: rbnode.leaf.inj_eq 0.004635 s: ordinal.nat_cast_mod 0.000177 s: classical.some_spec2 0.048268 s: linear_map.conjugate.equations._eqn_1 0.001123 s: mul_equiv.mul_equiv_of_unique_of_unique.equations._eqn_1 0.024917 s: category_theory.monad.beck_cofork_ι_app 0.001534 s: category_theory.limits.is_limit.unique_up_to_iso_hom 0.000362 s: equiv.mul_zero_one_class._proof_3 0.001034 s: equiv.mul_zero_one_class 0.001562 s: equiv.mul_zero_one_class.equations._eqn_1 0.021383 s: min_div_div_right' 0.000108 s: io.fs.dir_exists.equations._eqn_1 0.005266 s: cau_seq.completion.Cauchy.has_sub.equations._eqn_1 0.000377 s: has_exists_mul_of_le.dcases_on 0.000690 s: measure_theory.mem_ℒp.integrable 0.012654 s: Top.prelocal_predicate.mk.inj_eq 0.000309 s: list.reverse_eq_nil 0.010542 s: category_theory.under.hom_mk_left 0.002159 s: interval_integral.deriv_integral_right 0.009498 s: multilinear_curry_right_equiv._proof_3 0.010185 s: multilinear_curry_right_equiv._proof_6 0.047501 s: multilinear_curry_right_equiv._proof_7 0.042435 s: multilinear_curry_right_equiv._proof_8 0.008992 s: multilinear_curry_right_equiv._proof_9 0.018907 s: multilinear_curry_right_equiv 0.003540 s: category_theory.limits.binary_bicone.rec_on 0.000345 s: turing.TM0.reaches.equations._eqn_1 0.007705 s: list.lex.ne_iff 0.004457 s: ring_equiv.to_ring_hom.equations._eqn_1 0.006608 s: equiv.perm.subtype_congr_hom.equations._eqn_1 0.000755 s: mul_action_hom.mk.inj_arrow 0.000027 s: environment.projection_info.has_sizeof_inst 0.000014 s: ordering.has_sizeof_inst 0.000267 s: slim_check.int_ge.sampleable 0.001018 s: is_bounded_linear_map.has_fderiv_within_at 0.001630 s: filter.eventually_eq_bind 0.001832 s: cauchy_seq_iff_tendsto_dist_at_top_0 0.024619 s: abs_le_max_abs_abs 0.144715 s: cau_seq.completion.Cauchy.has_inv.equations._eqn_1 0.000094 s: pos_num.shiftr.equations._eqn_2 0.000070 s: congr_arg_kind.heq.sizeof_spec 0.000763 s: category_theory.with_initial.comp.equations._eqn_2 0.018779 s: add_lt_of_nonpos_of_lt 0.000186 s: linear_ordered_add_comm_monoid_with_top.nsmul._default 0.000265 s: linear_ordered_add_comm_monoid_with_top.nsmul._default.equations._eqn_1 0.000312 s: quotient_group.quotient.equations._eqn_1 0.000410 s: mvqpf.sigma.P.equations._eqn_1 0.000159 s: ordset.has_singleton 0.000190 s: ordset.has_singleton.equations._eqn_1 0.000102 s: fp.float.neg.equations._eqn_3 0.000366 s: countable_Inter_filter_bot.equations._eqn_1 0.010893 s: pi.comm_group.equations._eqn_1 0.000257 s: pgame.domineering.board.inhabited 0.003286 s: 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0.000550 s: simple_graph.dart.inhabited.equations._eqn_1 0.000388 s: computation.parallel_congr_right 0.000469 s: pfunctor.approx.s_corec.equations._eqn_2 0.011473 s: int.dist_cast_real 0.108803 s: int.dist_cast_rat 0.000174 s: pnat.xgcd_type.mk'.equations._eqn_1 0.015222 s: category_theory.nat_trans.app_naturality 0.000235 s: generalized_continued_fraction.numerators.equations._eqn_1 0.007303 s: continuous_linear_map.borel_space.equations._eqn_1 0.000230 s: _private.4190186413.P._sunfold 0.002531 s: free_group.red.step.drec 0.009216 s: order.embedding_from_countable_to_dense 0.010889 s: ennreal.rpow_lt_one_of_one_lt_of_neg 0.003881 s: order_iso.comap_at_bot 0.000212 s: prime_multiset.semilattice_sup_bot.equations._eqn_1 0.002387 s: rel_iso.swap.equations._eqn_1 0.002634 s: perfect_closure.comm_ring._match_2.equations._eqn_1 0.056736 s: ring_quot.ring_quot_equiv_ideal_quotient._proof_1 0.038493 s: ring_quot.ring_quot_equiv_ideal_quotient 0.009191 s: nat.partrec.cases_on 0.003970 s: 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fin_enum.finset.enum._sunfold 0.000809 s: int.lxor_bit 0.005039 s: tactic_doc._2480853940 0.014070 s: _private.4143707671.finv._main.equations._eqn_1 0.015295 s: _private.4143707671.finv.equations._eqn_1 0.000109 s: omega.eq_elim.equations._eqn_4 0.000200 s: convex_hull_singleton 0.002061 s: category_theory.limits.has_colimits_of_shape.dcases_on 0.036466 s: complex.algebra.equations._eqn_1 0.007848 s: CommMon_.mk.inj_arrow 0.012213 s: category_theory.subobject.lower_comm 0.007248 s: mdifferentiable_within_at.congr 0.004904 s: supr_prod 0.000157 s: preirreducible_space.cases_on 0.000169 s: turing.list_blank.append._sunfold 0.001141 s: setoid.quotient_ker_equiv_of_surjective.equations._eqn_1 0.000300 s: traversable.mk.inj_arrow 0.003375 s: ideal.eq_jacobson_iff_not_mem 0.001170 s: smul_add_hom.equations._eqn_1 0.000901 s: turing.TM1to1.Λ'.write.inj_eq 0.012483 s: ideal.mem_sup_right 0.005905 s: bundle_trivialization.mk.inj_eq 0.001199 s: galois_coinsertion.lift_order_bot.equations._eqn_1 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category_theory.is_filtered.left_to_max.equations._eqn_1 0.000549 s: bilin_form.flip 0.011981 s: Module.Mon_Module_equivalence_Algebra._proof_5 0.004081 s: Module.Mon_Module_equivalence_Algebra._proof_6 0.001185 s: Module.Mon_Module_equivalence_Algebra._proof_17 0.005900 s: Module.Mon_Module_equivalence_Algebra._proof_18 0.002232 s: Module.Mon_Module_equivalence_Algebra._proof_19 0.002768 s: Module.Mon_Module_equivalence_Algebra._proof_20 0.102491 s: Module.Mon_Module_equivalence_Algebra._proof_23 1.004812 s: Module.Mon_Module_equivalence_Algebra._proof_25 0.225010 s: Module.Mon_Module_equivalence_Algebra 0.268402 s: Module.Mon_Module_equivalence_Algebra.equations._eqn_1 0.022543 s: metric.inhabited_right.equations._eqn_1 0.000291 s: matrix.has_mul.equations._eqn_1 0.000085 s: complex.inhabited.equations._eqn_1 0.000316 s: filter.eventually_eq_inf_principal_iff 0.003645 s: category_theory.subobject.iso_of_mk_eq_mk_inv 0.000347 s: slim_check.add_to_counter_example._sunfold 0.003028 s: 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category_theory.limits.has_finite_wide_pushouts.drec 0.000052 s: false_of_a_eq_not_a 0.000208 s: topological_add_group.rec_on 0.085615 s: convex_halfspace_re_lt 0.000195 s: state_t.rec_on 0.019196 s: omega.int.preform.sat_or 0.000454 s: category_theory.limits.reflects_colimits.mk.inj_arrow 0.004516 s: classical.all_definable.equations._eqn_2 0.000393 s: multiset.fold_eq_foldr 0.000382 s: parser.unfailing.foldr_core_zero 0.001190 s: measurable_space.generate_measurable.drec 0.000527 s: tactic_doc._275274784 0.000056 s: Algebra.has_sizeof_inst 0.000330 s: int.lt_of_le_sub_one 0.000492 s: generate_pi_system.rec_on 0.068043 s: times_cont_diff_at.cosh 0.037534 s: ideal.quotient.comm_ring.equations._eqn_1 0.005710 s: measure_theory.L1.simple_func.inhabited.equations._eqn_1 0.002136 s: list.sublist.diff_right 0.000506 s: add_magma.free_add_semigroup.map_of 0.011184 s: Mon_Type_equivalence_Mon_forget.equations._eqn_1 0.001233 s: int.nat_abs_lcm 0.000929 s: add_units.mk_of_add_eq_zero.equations._eqn_1 0.019238 s: pi_tensor_product.add_comm_group.equations._eqn_1 0.011297 s: onote.NF_power.equations._eqn_1 0.001913 s: simple_graph.adj_iff_exists_edge 0.001684 s: linear_pmap.has_le.equations._eqn_1 0.001674 s: tactic_doc._1002426229 0.002677 s: eq_inv_smul_iff 0.005974 s: nat.dist_self 0.000188 s: nat.dist_eq_zero 0.012788 s: nat.bit_lt_bit_iff 0.003698 s: continuous_linear_map.mk.inj_eq 0.004656 s: category_theory.Aut.units_End_equiv_Aut.equations._eqn_1 0.001061 s: times_cont_diff.differentiable 0.000434 s: add_valuation.has_coe_to_fun.equations._eqn_1 0.000137 s: _private.589191821.one.equations._eqn_1 0.068160 s: Top.presheaf.sheaf_condition_pairwise_intersections.cone_equiv_functor_obj_X 0.011773 s: parser.step.map.equations._eqn_1 0.003322 s: padic.coe_div 0.000517 s: star_injective 0.000702 s: CpltSepUniformSpace.complete_space.equations._eqn_1 0.006081 s: category_theory.sigma.incl.category_theory.full._match_1.equations._eqn_1 0.002209 s: fintype.prod_option 0.004465 s: direct_sum.component.of 0.000597 s: Scott.topological_space.equations._eqn_1 0.000622 s: stream.corec_id_id_eq_const 0.000136 s: omega.int.push_neg._sunfold 0.000946 s: finsupp.split_comp.equations._eqn_1 0.000207 s: category_theory.limits.has_biproducts_of_shape.rec_on 0.000812 s: category_theory.is_filtered.right_to_max.equations._eqn_1 0.000527 s: category_theory.limits.types.sort.category_theory.limits.has_colimits.equations._eqn_1 0.001211 s: nat.partrec.code.eval._sunfold 0.204369 s: interval_integral.deriv_within_integral_of_tendsto_ae_right 0.032664 s: neg_of_mul_pos_right 0.025160 s: additive.ordered_add_comm_group.equations._eqn_1 0.011730 s: algebraic_geometry.Scheme.Γ_obj_op 0.002612 s: mvpfunctor.W_path_dest_right_W_path_cases_on 0.000808 s: real.tanh_eq_sinh_div_cosh 0.000223 s: category_theory.reflective.has_sizeof_inst 0.001014 s: set.tprod._sunfold 0.003338 s: ring_hom.quotient_ker_equiv_of_right_inverse.symm.apply 0.003525 s: cau_seq.neg_equiv_neg 0.003006 s: category_theory.center.tensor_β 0.000348 s: category_theory.limits.has_limit_of_has_limits_of_shape.equations._eqn_1 0.002745 s: metric.tendsto_locally_uniformly_iff 0.001168 s: normed_group_hom.neg_apply 0.000596 s: category_theory.mono_over.image_mono_over.equations._eqn_1 0.000975 s: category_theory.limits.cospan_left 0.000786 s: filter.realizer.Sup._match_1.equations._eqn_1 0.002520 s: Set.insert._match_1.equations._eqn_1 0.045448 s: ring.fractional_ideal.partial_order._match_2.equations._eqn_1 0.000919 s: multiset.count_univ 0.000224 s: lucas_lehmer.lucas_lehmer_test.equations._eqn_1 0.033087 s: linear_equiv_of_is_basis'.equations._eqn_1 0.002131 s: add_equiv.apply_eq_iff_symm_apply 0.133711 s: mul_self_le_mul_self_of_le_of_neg_le 0.000100 s: ordnode.find_max'.equations._eqn_1 0.000100 s: list.has_append.equations._eqn_1 0.026173 s: subsemiring.comap.equations._eqn_1 0.004151 s: zero_left_add_coset 0.000776 s: category_theory.functor.left_adjoint_of_equivalence.equations._eqn_1 0.005882 s: measure_theory.set_integral_map 0.006815 s: category_theory.right_lifting_property_initial_iff 0.001755 s: Module.colimits.prequotient.rec_on 0.032372 s: nat.div_eq_self 0.000880 s: multiset.inf_mono 0.024997 s: subsemiring.map_sup 0.000176 s: category_theory.comonad.inhabited.equations._eqn_1 0.001352 s: con.mk.sizeof_spec 0.000275 s: slim_check.convert_counter_example.equations._eqn_3 0.000056 s: combinator.K.equations._eqn_1 0.004754 s: category_theory.over.construct_products.cones_equiv_inverse_2 0.000991 s: Top_to_CompHaus_obj 0.000986 s: matrix.diagonal_zero 0.005503 s: alg_hom.mk.sizeof_spec 0.002659 s: tangent_bundle_proj_open 0.000648 s: computation.terminates_map.equations._eqn_1 0.052369 s: nat.archimedean.equations._eqn_1 0.011852 s: nat.modeq.modeq_pow 0.006817 s: intermediate_field.gi.equations._eqn_1 0.000104 s: nzsnum.rec_on 0.000294 s: is_simple_add_group.rec_on 0.002988 s: finsupp.lift_add_hom_symm_apply_apply 0.000264 s: subgroup.simps.coe.equations._eqn_1 0.000339 s: category_theory.limits.get_colimit_cocone.equations._eqn_1 0.005618 s: measure_theory.ae_eq_fun.lintegral_add 0.002418 s: ring_hom.eq_locus_field.equations._eqn_1 0.000322 s: Top.presheaf.sheaf_condition_inhabited.equations._eqn_1 0.001554 s: nndist_triangle 0.000095 s: complex.has_one.equations._eqn_1 0.000642 s: topological_space.opens.val_eq_coe 0.000887 s: subsemiring.coe_comap 0.000574 s: tactic.rewrite_search.using_conv.app_addr.nested.pack_0_0_0.inj 0.000766 s: times_cont_diff_within_at.equations._eqn_1 0.007314 s: group.exists_list_of_mem_closure 0.003918 s: normed_group_hom.ker.lift.equations._eqn_1 0.000061 s: tactic.interactive.rep_arity.one.inj_eq 0.129990 s: lie_algebra.special_linear.sl.equations._eqn_1 0.015467 s: continuous_at_of_mono_incr_on_of_exists_between 0.001314 s: roption.order_bot.equations._eqn_1 checked 145553 declarations