I (a + b) -> I a -> I b := subgroup_in_op_r I a b. End IdealElements. Global Instance isleftideal_trivial_subgroup (R : Ring) : IsLeftIdeal (R := R) trivial_subgroup. Proof. intros r x p. rhs_V nrapply (rng_mult_zero_r). f_ap. Defined.
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.