proposition: Lemma lemc_add2l m1 m2 m : ((m1 + m)%MM <= (m2 + m)%MM)%O = (m1 <= m2)%O.
proof: Proof. by rewrite ![(_+m)%MM]addmC lemc_add2r. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype tuple finfun bigop finset binomial) mathcomp(order fingroup perm ssralg zmodp poly ssrint) mathcomp(matrix vector) mathcomp(bigenough) ssrcomplements freeg