proposition: Lemma commring_iso_equiv_is_equiv (X Y : commring_category) : isweq (commring_iso_equiv X Y).
proof: Proof. use isweq_iso. - exact (commring_equiv_iso X Y). - intros x. use z_iso_eq. use rigfun_paths. apply idpath. - intros y. use rigiso_paths. use subtypePath. + intros x0. use isapropisweq. + 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