proposition: Lemma commrig_iso_equiv (X Y : ob commrig_category) : z_iso X Y -> rigiso (X : commrig) (Y : commrig).
proof: Proof. intro f. use make_rigiso. - exact (make_weq (pr1 (pr1 f)) (commrig_iso_is_equiv X Y f)). - exact (pr2 (pr1 f)). 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