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 mul2z n : 2%:Z * n = n + n. Proof. by rewrite mulrC -mulrzz. Qed.
Section LMod.