Definition functor_on_is_z_isomorphism {C C' : precategory} (F : functor C C') {a b : ob C} {f : a --> b} (I : is_z_isomorphism f) : is_z_isomorphism (# F f). Proof. use make_is_z_isomorphism. - exact (# F (is_z_isomorphism_mor I)). - exact (functor_on_is_inverse_in_precat F I). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Univalence.