proposition: Lemma hset_z_iso_is_equiv (A B : ob HSET) (f : z_iso A B) : isweq (pr1 f).
proof: Proof. apply (isweq_iso _ (inv_from_z_iso f)). - intro x. set (T:=z_iso_inv_after_z_iso f). set (T':=toforallpaths _ _ _ T). apply T'. - intro x. apply (toforallpaths _ _ _ (z_iso_after_z_iso_inv f)). 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