Definition hset_id_weq_z_iso (A B : ob HSET) : (A = B) ≃ (z_iso A B) := weqcomp (UA_for_HLevels 2 A B) (hset_equiv_weq_z_iso A B).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.Foundations.HLevels. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Categories.HSET.MonoEpiIso.