Lemma functor_on_inv_from_z_iso {C C' : precategory} (F : functor C C') {a b : ob C}(f : z_iso a b) : #F (inv_from_z_iso f) = inv_from_z_iso (functor_on_z_iso F f) . Proof. destruct f. apply functor_on_inv_from_z_iso'. Qed.
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.