Definition z_iso_inv_after_z_iso {C : precategory_data} {a b : ob C} (f : z_iso a b) : f · inv_from_z_iso f = identity _ := pr1 (pr2 (pr2 f)).
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.