Lemma isotoid_inj (C : category) (H : is_univalent C) (a a' : ob C) (f f' : z_iso a a') : isotoid _ H f = isotoid _ H f' -> f = f'. Proof. apply invmaponpathsincl. apply isinclweq. apply isweqinvmap. Qed.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos.