Definition functor_on_z_iso {C C' : precategory} (F : functor C C') {a b : ob C} (f : z_iso a b) : z_iso (F a) (F b). Proof. use make_z_iso. - exact (# F f). - exact (# F (inv_from_z_iso f)). - exact (functor_on_is_inverse_in_precat F f). 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.