13.284117 s: Algebra.forget₂_Ring_preserves_limits_aux 12.172984 s: Algebra.forget₂_Ring_preserves_limits_aux.equations._eqn_1 9.759439 s: to_euclidean 9.644809 s: smooth_bump_covering.exists_immersion_findim 9.346480 s: to_euclidean.equations._eqn_1 8.179359 s: CommGroup.category_theory.forget₂.category_theory.creates_limit._proof_7 7.952717 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit._proof_6 7.876578 s: SemiRing.limit_π_ring_hom.equations._eqn_1 7.872092 s: SemiRing.limit_π_ring_hom 7.626054 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit._proof_7 7.372604 s: CommMon.category_theory.forget₂.category_theory.creates_limit._proof_6 5.510193 s: SemiRing.forget₂_AddCommMon_preserves_limits_aux 5.177408 s: SemiRing.forget₂_AddCommMon_preserves_limits_aux.equations._eqn_1 4.339591 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit 4.259126 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit 4.167444 s: CommMon.category_theory.forget₂.category_theory.creates_limit 4.081465 s: CommGroup.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 4.003845 s: CommGroup.category_theory.forget₂.category_theory.creates_limit 3.984336 s: AddCommMon.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 3.955816 s: euclidean.exists_pos_lt_subset_ball 3.845440 s: CommMon.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 3.802986 s: SemiRing.forget₂_Mon_preserves_limits_aux 3.800642 s: AddCommGroup.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 3.797885 s: euclidean.compact_ball 3.788635 s: SemiRing.forget₂_Mon_preserves_limits_aux.equations._eqn_1 3.229404 s: Ring.forget₂_AddCommGroup_preserves_limits_aux 3.145671 s: Ring.forget₂_AddCommGroup_preserves_limits_aux.equations._eqn_1 2.969988 s: matrix.rank_diagonal 2.803658 s: Module.forget₂_AddCommGroup_preserves_limits_aux.equations._eqn_1 2.659098 s: AddGroup.category_theory.forget₂.category_theory.creates_limit._proof_6 2.539379 s: lift_of_splits 2.538416 s: CommGroup.forget₂_CommMon_preserves_limits_aux.equations._eqn_1 2.536361 s: CommGroup.forget₂_CommMon_preserves_limits_aux 2.502885 s: Module.forget₂_AddCommGroup_preserves_limits_aux 2.264196 s: Group.category_theory.forget₂.category_theory.creates_limit._proof_6 2.228118 s: AddCommGroup.forget₂_AddCommMon_preserves_limits_aux.equations._eqn_1 2.121582 s: AddCommGroup.forget₂_AddCommMon_preserves_limits_aux 1.970376 s: real.tendsto_sum_pi_div_four 1.955642 s: is_max_on.of_is_local_max_of_convex_univ 1.893920 s: free_algebra.is_basis_free_monoid 1.857191 s: concave_on.le_on_segment 1.820432 s: is_max_on.of_is_local_max_on_of_concave_on 1.780909 s: formal_multilinear_series.radius_right_inv_pos_of_radius_pos 1.759308 s: concave_on.le_on_segment' 1.668602 s: real.is_cau_seq_iff_lift 1.657865 s: liouville.irrational 1.643970 s: real.integral_sin_pow_div_tendsto_one 1.616896 s: urysohns.CU.approx_le_succ 1.577300 s: monoid_algebra.ring.equations._eqn_1 1.573118 s: field.direct_limit.nontrivial.equations._eqn_1 1.572276 s: matrix.ker_diagonal_to_lin' 1.516290 s: real.abs_log_sub_add_sum_range_le 1.486407 s: real.has_sum_pow_div_log_of_abs_lt_1 1.431125 s: gaussian_int.to_complex_div_re 1.422002 s: rat.uniform_space_eq 1.404647 s: AddGroup.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 1.401459 s: algebraic_closure.of_step_succ 1.339816 s: AddGroup.category_theory.forget₂.category_theory.creates_limit 1.321625 s: concave_on_log_Ioi 1.318128 s: Group.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 1.300745 s: concave_on_log_Iio 1.292922 s: monoid_algebra.ring 1.292860 s: CommRing.forget₂_CommSemiRing_preserves_limits_aux 1.287143 s: liouville.exists_pos_real_of_irrational_root 1.257676 s: CommRing.forget₂_CommSemiRing_preserves_limits_aux.equations._eqn_1 1.223202 s: function.injective.linear_ordered_field 1.215857 s: field.direct_limit.nontrivial 1.202237 s: Group.category_theory.forget₂.category_theory.creates_limit 1.169045 s: algebraic_closure.exists_root 1.152706 s: det_eq_sign_char_poly_coeff 1.108708 s: hyperreal.coe_abs 1.091663 s: matrix.is_skew_adjoint_bracket 1.085177 s: function.injective.linear_ordered_comm_ring._proof_12 1.080033 s: alg_hom.restrict_normal_aux._proof_2 1.075912 s: tendsto_at_top_of_geom_le 1.066413 s: real.tendsto_mul_exp_add_div_pow_at_top 1.062084 s: skew_adjoint_matrices_lie_subalgebra_equiv_transpose._proof_1 1.057650 s: gaussian_int.norm_sq_div_sub_div_lt_one 1.041303 s: function.injective.linear_ordered_comm_ring._proof_13 1.037521 s: CommRing.is_limit_lifted_cone._proof_1 1.036637 s: CommRing.is_limit_lifted_cone 1.016141 s: stereo_inv_fun_aux_mem 1.015585 s: real.of_near 1.009085 s: CommRing.category_theory.forget₂.category_theory.creates_limit 0.994724 s: circle_deg1_lift.tendsto_translation_number_of_dist_bounded_aux 0.992269 s: alg_hom.restrict_normal_aux._proof_3 0.988363 s: circle_deg1_lift.transnum_aux_seq_dist_lt 0.987472 s: function.injective.linear_ordered_comm_ring._proof_14 0.981355 s: CommRing.is_limit_lifted_cone.equations._eqn_1 0.974025 s: is_R_or_C.abs_re_div_abs_le_one 0.969633 s: function.injective.linear_ordered_comm_ring._proof_15 0.968095 s: function.injective.linear_ordered_comm_ring._proof_7 0.963237 s: real.complete_space.equations._eqn_1 0.958353 s: function.injective.linear_ordered_comm_ring._proof_2 0.944494 s: rat.uniform_continuous_abs 0.942960 s: dense_embedding_of_rat 0.937241 s: function.injective.linear_ordered_comm_ring._proof_10 0.932848 s: gaussian_int.to_complex_div_im 0.930295 s: function.injective.linear_ordered_comm_ring._proof_9 0.930061 s: real.cau_seq_converges 0.914906 s: complex.abs_re_div_abs_le_one 0.912126 s: function.injective.linear_ordered_comm_ring._proof_3 0.901310 s: continuous_equiv_fun_basis 0.897142 s: function.injective.linear_ordered_comm_ring._proof_1 0.893755 s: bounded_continuous_function.add_comm_group._proof_1 0.889295 s: function.injective.linear_ordered_comm_ring._proof_5 0.876498 s: CommRing.category_theory.forget₂.category_theory.creates_limit.equations._eqn_1 0.875604 s: function.injective.linear_ordered_comm_ring._proof_6 0.871155 s: function.injective.linear_ordered_comm_ring._proof_8 0.871007 s: function.injective.linear_ordered_comm_ring._proof_20 0.870662 s: linear_map.findim_linear_map 0.863541 s: has_ftaylor_series_up_to_on_pi 0.861685 s: function.injective.linear_ordered_comm_ring._proof_11 0.854350 s: ideal.module_pi._proof_4 0.851926 s: real.log_inv 0.847999 s: real.log_div 0.822495 s: function.injective.linear_ordered_comm_ring._proof_4 0.822455 s: is_R_or_C.abs_im_div_abs_le_one 0.821069 s: abs_real_inner_div_norm_mul_norm_le_one 0.813335 s: complex.exp_add 0.812005 s: function.injective.linear_ordered_field.equations._eqn_1 0.807336 s: intermediate_field.adjoin_root_equiv_adjoin._proof_6 0.805249 s: integral_closure.fraction_map_of_algebraic._match_2.equations._eqn_1 0.802206 s: real.exp_approx_succ 0.800209 s: real.exists_sup 0.797350 s: complex.exp_bound 0.796009 s: discrim_lt_zero 0.789932 s: quaternion.norm_sq_inv 0.786664 s: real.subgroup_dense_of_no_min 0.784317 s: matrix.findim_matrix 0.768259 s: ideal.module_pi._proof_2 0.763217 s: matrix.finite_dimensional 0.762248 s: normal.of_is_splitting_field 0.758677 s: alg_hom.restrict_normal_aux._proof_5 0.754248 s: alg_hom.restrict_normal_aux._proof_4 0.749857 s: adjoin_root.equiv._proof_4 0.749719 s: real.uniform_continuous_inv 0.743071 s: real.abs.cau_seq.is_complete.equations._eqn_1 0.742980 s: Ring.sections_subring.equations._eqn_1 0.740508 s: CommRing.lifted_cone.equations._eqn_1 0.737734 s: euclidean_geometry.exists_unique_dist_eq_of_insert 0.734158 s: alg_hom.restrict_normal_aux._proof_6 0.732575 s: Algebra.forget₂_Module_preserves_limits_aux._proof_1 0.730506 s: Ring.category_theory.forget₂.category_theory.creates_limit._proof_8 0.729469 s: real.sin_eq_zero_iff 0.725159 s: polynomial.is_primitive.dvd_of_fraction_map_dvd_fraction_map 0.721412 s: real.uniform_continuous_mul 0.720554 s: complex.lim_aux.equations._eqn_1 0.715666 s: matrix.finite_dimensional.equations._eqn_1 0.713755 s: finite_field.char_poly_pow_card 0.712755 s: circle_deg1_lift.tendsto_translation_number₀' 0.697353 s: is_galois.of_separable_splitting_field_aux 0.694141 s: complex.is_cau_abs_exp 0.692032 s: ideal.module_pi._proof_3 0.691565 s: one_le_pow_mul_abs_eval_div 0.689711 s: polynomial.exists_multiset_of_splits 0.686344 s: real.exists_extension_norm_eq 0.684986 s: is_R_or_C.abs_abs_sub_le_abs_sub 0.683953 s: map_le_line_map_iff_slope_le_slope_right 0.682946 s: min_eq_half_add_sub_abs_sub 0.681817 s: real.add_one_le_exp_of_nonneg 0.679855 s: real.complete_space 0.678961 s: integral_closure.fraction_map_of_algebraic._match_1.equations._eqn_1 0.671846 s: stereo_left_inv 0.671273 s: integral_closure.fraction_map_of_algebraic._match_3.equations._eqn_1 0.669882 s: finite_dimensional.findim_linear_map 0.668895 s: Algebra.limit_π_alg_hom 0.668759 s: integral_closure.fraction_map_of_algebraic._match_2 0.668144 s: real.is_conjugate_exponent.symm 0.667310 s: polynomial.roots_map 0.665200 s: intermediate_field.findim_fixed_field_eq_card 0.659742 s: times_cont_diff_bump 0.659021 s: real.uniform_continuous_add 0.654051 s: complex.abs_im_div_abs_le_one 0.649097 s: integral_inv_one_add_sq 0.648469 s: exists_extension_norm_eq 0.646483 s: CommRing.limit_comm_ring.equations._eqn_1 0.644516 s: complex.lim_abs 0.643018 s: measure_theory.hahn_decomposition 0.638951 s: is_primitive_root.minpoly_eq_pow 0.638583 s: complex.lim_eq_lim_im_add_lim_re 0.638228 s: algebraic_closure.step.scalar_tower 0.631322 s: real.abs.cau_seq.is_complete 0.630791 s: ideal.module_pi._proof_7 0.625399 s: complex.lim_conj 0.625184 s: ideal.module_pi._proof_1 0.619488 s: complex.lim_re 0.618873 s: complex.lim_im 0.618863 s: intermediate_field.adjoin_root_equiv_adjoin._proof_4 0.617627 s: ideal.module_pi._proof_5 0.616021 s: smooth_bump_function 0.615990 s: complex.lim_aux 0.613173 s: convex.mem_Ioo 0.613014 s: intermediate_field.lifts.lift_of_splits._proof_5 0.602037 s: multilinear_map.mk_continuous_multilinear._proof_7 0.601474 s: Module.monoidal_category.pentagon 0.600550 s: complex.is_cau_exp 0.599738 s: max_eq_half_add_add_abs_sub 0.599186 s: linear_map.finite_dimensional.equations._eqn_1 0.594764 s: integral_closure.fraction_map_of_algebraic._match_1 0.593907 s: witt_vector.poly_eq_of_witt_polynomial_bind_eq' 0.592401 s: CommGroup.has_forget_to_CommMon.equations._eqn_1 0.590106 s: complex.abs_abs_sub_le_abs_sub 0.589263 s: solvable_by_rad.induction2 0.583780 s: Gromov_Hausdorff.GH_dist_le_of_approx_subsets 0.582140 s: is_basis.isometry_euclidean_of_orthonormal.equations._eqn_1 0.581377 s: is_galois.of_separable_splitting_field 0.580149 s: complex.equiv_lim_aux 0.579521 s: ideal.module_pi._proof_6 0.572951 s: polynomial.gal.map_roots._proof_1 0.572278 s: polynomial.splitting_field_aux.adjoin_roots 0.571348 s: CommGroup.has_forget_to_CommMon 0.571225 s: skew_adjoint_matrices_lie_subalgebra_equiv._proof_1 0.565096 s: convex.mem_Ioc 0.564930 s: witt_vector.map_frobenius_poly 0.563780 s: function.injective.ordered_comm_ring 0.562857 s: Ring.sections_subring 0.561291 s: convex.mem_Icc 0.560003 s: power_basis.equiv_adjoin_simple_aeval 0.555430 s: ideal.integral_closure.comap_lt_comap 0.552750 s: function.injective.ordered_comm_ring.equations._eqn_1 0.552569 s: field.primitive_element_inf_aux 0.550001 s: ideal.integral_closure.is_maximal_of_is_maximal_comap 0.549805 s: intermediate_field.adjoin_root_equiv_adjoin._proof_5 0.549741 s: power_basis.equiv_adjoin_simple 0.546810 s: CommRing.lifted_cone 0.543588 s: generalized_continued_fraction.comp_exact_value_correctness_of_stream_eq_some 0.541951 s: alg_hom.restrict_normal_aux._proof_1 0.541913 s: fpow_strict_mono 0.540945 s: maps_to_tangent_cone_pi 0.538620 s: module.End.exists_eigenvalue 0.537907 s: discrim_le_zero 0.537398 s: Module.hexagon_reverse 0.537034 s: ideal.integral_closure.comap_ne_bot 0.535409 s: Gromov_Hausdorff.second_countable 0.533672 s: intermediate_field.lifts.lift_of_splits.equations._eqn_1 0.532254 s: Gromov_Hausdorff.second_countable.equations._eqn_1 0.531377 s: polynomial.map_dvd_map' 0.529819 s: polynomial.is_unit_or_eq_zero_of_is_unit_integer_normalization_prim_part 0.528628 s: uniformity_basis_dist_pow_of_lt_1 0.524922 s: power_basis.equiv_adjoin_simple_gen 0.524588 s: convex.mem_Ico 0.521246 s: affine.simplex.findim_direction_altitude 0.518478 s: matrix.ring.equations._eqn_1 0.518090 s: function.injective.linear_ordered_comm_ring 0.516995 s: approximates_linear_on.surj_on_closed_ball_of_nonlinear_right_inverse 0.516774 s: pythagorean_triple.is_primitive_classified_of_coprime_of_odd_of_pos 0.516387 s: convex_cone.to_ordered_semimodule 0.516379 s: map_le_line_map_iff_slope_le_slope 0.516247 s: linear_recurrence.sol_space_dim 0.515595 s: power_basis.equiv_adjoin_simple._proof_4 0.511478 s: CommRing.limit_comm_ring 0.511122 s: fderiv_measurable_aux.D_subset_differentiable_set 0.508295 s: polynomial.gal.restrict_prod_injective 0.507438 s: Algebra.limit_π_alg_hom.equations._eqn_1 0.503890 s: intermediate_field.adjoin_root_equiv_adjoin._proof_3 0.503407 s: has_fpower_series_on_ball.tendsto_uniformly_on 0.501187 s: midpoint_le_left -6.469990 s: bounded_continuous_function.add_comm_group._proof_6 -6.594427 s: bounded_continuous_function.add_comm_group._proof_4 -6.598675 s: bounded_continuous_function.add_comm_group._proof_5