Definition hset_equiv_weq_z_iso (A B : ob HSET) : (pr1 A ≃ pr1 B) ≃ z_iso A B. Proof. exists (hset_equiv_z_iso A B). apply hset_equiv_z_iso_is_equiv. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Categories.HSET.Core.