proposition: Lemma abmonoid_equiv_z_iso (X Y : ob abmonoid_category) : monoidiso (X : abmonoid) (Y : abmonoid) -> z_iso X Y.
proof: Proof. intros f. exists (monoidfunconstr (pr2 f)). exact (abmonoid_equiv_is_z_iso X Y f). 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