End MatrixZmodule.
Section FinZmodMatrix.
Variables (V : finZmodType) (m n : nat).
Local Notation MV := 'M[V]_(m, n).
Canonical matrix_finZmodType := Eval hnf in [finZmodType of MV].
Canonical matrix_baseFinGroupType :=
Eval hnf in [baseFinGroupType of MV for +%R].
Canonical matrix_finGroupType := Eval hnf in [finGroupType of MV for +%R].
End FinZmodMatrix.
(* Parametricity over the additive structure. *)
Section MapZmodMatrix.
Variables (aR rR : zmodType) (f : {additive aR -> rR}) (m n : nat).
Local Notation "A ^f" := (map_mx f A) : ring_scope.
Implicit Type A : 'M[aR]_(m, n).

Lemma map_mx0 : 0^f = 0 :> 'M_(m, n).
End RingModule.