proposition: Lemma hset_equiv_is_z_iso (A B : hSet) (f : (pr1 A) ≃ (pr1 B)) : is_z_isomorphism (C:=HSET) (pr1 f).
proof: Proof. exists (invmap f). split; simpl. - apply funextfun; intro x; simpl in *. unfold compose, identity; simpl. apply homotinvweqweq. - apply funextfun; intro x; simpl in *. unfold compose, identity; simpl. apply homotweqinvweq. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Categories.HSET.Core