Definition hset_z_iso_equiv_weq (A B : ob HSET) : (z_iso A B) ≃ ((pr1 A) ≃ (pr1 B)). Proof. exists (hset_z_iso_equiv A B). apply hset_z_iso_equiv_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.