Definition commring_iso_equiv_weq (X Y : ob commring_category) : weq (z_iso X Y) (ringiso (X : commring) (Y : commring)). Proof. use make_weq. - exact (commring_iso_equiv X Y). - exact (commring_iso_equiv_is_equiv X Y). 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.Algebra.Monoids. Require Import UniMath.Algebra.RigsAndRings. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence.