Lemma is_z_isomorphism_mor_eq {C : precategory} {a b : C} {f g : a --> b} (e : f = g) (I1 : is_z_isomorphism f) (I2 : is_z_isomorphism g) : is_z_isomorphism_mor I1 = is_z_isomorphism_mor I2. Proof. use inverse_unique_precat. - exact f. - exact I1. - rewrite e. exact I2. Qed.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories.