Definition is_z_isomorphism_is_inverse_in_precat {C : precategory_data} {a b : C} {f : a --> b} (I : is_z_isomorphism f) : is_inverse_in_precat f (is_z_isomorphism_mor I) := pr2 I.
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.