proposition: Theorem Representation_to_z_iso {C:category} (X:[C^op,HSET]) (r:Representation X) : z_iso (Hom1 (universalObject r)) X.
proof: Proof. refine (z_iso_from_nat_z_iso _ ((element_to_nattrans X (universalObject r) (universalElement r)),,_)). intro b. apply (pr2 (weq_iff_z_iso_SET _)). exact (pr2 (pr2 r) b). Defined.
imports: UniMath.Foundations.Preamble UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.RepresentableFunctors.Bifunctor UniMath.CategoryTheory.RepresentableFunctors.Precategories UniMath.MoreFoundations.Tactics