Lemma setwith2binop_equiv_iso (X Y : ob setwith2binop_category) : twobinopiso X Y -> z_iso X Y. Proof. intros f. exact (_,,setwith2binop_equiv_is_z_iso X Y f). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence.