Lemma iscommringquot {X : commring} (R : @ringeqrel X) : iscommringops (@op1 (setwith2binopquot R)) (@op2 (setwith2binopquot R)). Proof. intros. exists (isringquot R). apply (pr2 (@isabmonoidquot (ringmultabmonoid X) (ringmultmonoideqrel R))). Defined.
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.