proposition: Lemma equiv_path_precategory_uncurried' `{Funext} (C D : PreCategory) : path_precategory''_T C D <~> C = D.
proof: Proof. apply (equiv_adjointify (@path_precategory_uncurried' _ C D) (@path_precategory_uncurried'_inv C D)). - hnf. intros []. apply path_precategory_uncurried'_idpath. - hnf. apply equiv_path_precategory_uncurried'__eissect. Defined.
imports: Category.Core HoTT.Basics.Equivalences HoTT.Basics.PathGroupoids HoTT.Basics.Trunc HoTT.Basics.Tactics HoTT.Types.Sigma HoTT.Types.Arrow HoTT.Types.Forall HoTT.Tactics