Lemma hset_equiv_z_iso_is_equiv (A B : ob HSET) : isweq (hset_equiv_z_iso A B). Proof. apply (isweq_iso _ (hset_z_iso_equiv A B)). { intro f. apply subtypePath. { intro; apply isapropisweq. } reflexivity. } intro; apply z_iso_eq. reflexivity. Qed.
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.