proposition: Lemma abmonoid_equiv_iso_is_equiv (X Y : ob abmonoid_category) : isweq (abmonoid_equiv_z_iso X Y).
proof: Proof. use isweq_iso. - exact (abmonoid_iso_equiv X Y). - intros y. use monoidiso_paths. use subtypePath. + intros x0. use isapropisweq. + use idpath. - intros x. use z_iso_eq. use monoidfun_paths. use idpath. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence