proposition: Lemma hset_id_weq_iso_is (A B : ob HSET): @idtoiso _ A B = pr1 (hset_id_weq_z_iso A B).
proof: Proof. apply funextfun. intro p; elim p. apply z_iso_eq; simpl. - apply funextfun; intro x; destruct A. apply idpath. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Foundations.UnivalenceAxiom UniMath.Foundations.HLevels UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso