example : [...] 2953
example : [...];expected type: List.dedup [...], term 173
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero] 15
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero] 20
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero] 61
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero] 242
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero] 16
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero] 14
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero] 909035
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero] 65
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero] 7
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero] 8
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero] 304395
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero] 61
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero] 7
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero] 8
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero] 100867
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero] 57
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero] 6
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero] 8
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero] 34183
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero] 56
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero] 7
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero] 17
example : [...];expected type: List.dedup [...], term;✅ List.dedup [...] =?= [Nat.zero] = [Nat.zero];✅ List.dedup [...] =?= [Nat.zero];✅ List.pwFilter (fun x x_1 => x ≠ x_1) [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero];✅ List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] =?= [Nat.zero];✅ (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] =?= [Nat.zero];✅ if [...] =?= [Nat.zero];✅ Decidable.casesOn [...] =?= [Nat.zero] 16846
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...] 14
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...] 11
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...] 11
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] 87
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] 6
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...] 7
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...] 917400
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] 60
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] 5
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...] 6
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...] 306212
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] 55
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] 5
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...] 6
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...] 106058
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] 56
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] 5
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...] 7
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...] 33828
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...] 53
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...] 6
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...] 11
example : [...];✅ [Nat.zero] = [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.dedup [...];✅ [Nat.zero] =?= List.pwFilter (fun x x_1 => x ≠ x_1) [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...];✅ [Nat.zero] =?= List.foldr (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) [] [...];✅ [Nat.zero] =?= (fun x IH => if ∀ (y : ℕ), y ∈ IH → (fun x x_1 => x ≠ x_1) x y then x :: IH else IH) Nat.zero [...];✅ [Nat.zero] =?= if [...];✅ [Nat.zero] =?= Decidable.casesOn [...] 16915