proposition: Lemma setwith2binop_iso_equiv (X Y : ob setwith2binop_category) : z_iso X Y -> twobinopiso X Y.
proof: Proof. intro f. use make_twobinopiso. - exact (make_weq (pr1 (pr1 f)) (setwith2binop_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.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence