{R : Ring} (I : Subgroup R) (x r : R) : IsRightIdeal I -> I x -> I (x * r) := fun _ => isleftideal (R := rng_op R) r x.
Require Import Basics Types. Require Import Spaces.Finite.Fin. Require Import Classes.interfaces.canonical_names. Require Import Algebra.Rings.Ring. Require Import Algebra.Groups.Subgroup. Require Import Algebra.AbGroups. Require Import WildCat.Core. Module Import Notation.