proposition: Lemma ring_equiv_iso_is_equiv (X Y : ob ring_category) : isweq (ring_equiv_iso X Y).
proof: Proof. use isweq_iso. - exact (ring_iso_equiv X Y). - intros y. use rigiso_paths. use subtypePath. + intros x0. use isapropisweq. + apply idpath. - intros x. use z_iso_eq. use rigfun_paths. apply idpath. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.Algebra.RigsAndRings UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence