proposition: Lemma path_f_idtoiso_precategory_of_structures xa yb (p : xa = yb) : PreCategoryOfStructures.f (idtoiso (precategory_of_structures P) p : morphism _ _ _) = idtoiso X p..1.
proof: Proof. induction p; reflexivity. Defined.
imports: Category.Core Category.Univalent Category.Morphisms Structure.Core Types.Sigma Trunc Equivalences Basics.Tactics