Section OneRepresentation.
Variables (n : nat) (rG : mx_representation aF G n).
Local Notation rGf := (map_repr f rG).
End OneRepresentation.

Lemma mx_rsim_map n1 n2 rG1 rG2 :
@mx_rsim _ _ G n1 rG1 n2 rG2 -> mx_rsim (map_repr f rG1) (map_repr f rG2).