Ring := Build_Ring (QuotientAbGroup R I) _ _ _ _ _ _ _.
Require Import WildCat.Core WildCat.Equiv. Require Import Algebra.Congruence. Require Import Algebra.AbGroups. Require Import Classes.interfaces.abstract_algebra. Require Import Algebra.Rings.Ring. Require Import Algebra.Rings.Ideal. Import Ideal.Notation.