proposition: Lemma lemc_add2r m m1 m2 : ((m + m1)%MM <= (m + m2)%MM)%O = (m1 <= m2)%O.
proof: Proof. by rewrite !le_eqVlt eqm_add2l ltmc_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