Lemma z_iso_inv_of_z_iso_id {C : category} (a : ob C) : z_iso_inv_from_z_iso (identity_z_iso a) = identity_z_iso a. Proof. apply z_iso_eq. apply idpath. 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.