Definition Mint_LmodMixin :=
@LmodMixin _ [zmodType of M] (fun n x => x *~ n)
mulrzA_C mulr1z mulrzDr mulrzDl.
Canonical Mint_LmodType := LmodType int M^z Mint_LmodMixin.

Lemma mulrzz m n : m *~ n = m * n. Proof. by rewrite -mulrzr intz. Qed.