Prenex Implicits mxmodule_form mxnonsimple_form mxnonsimple_sat.
(* Change of representation field (by tensoring) *)
Section ChangeOfField.
Variables (aF rF : fieldType) (f : {rmorphism aF -> rF}).
Local Notation "A ^f" := (map_mx (GRing.RMorphism.apply f) A) : ring_scope.
Variables (gT : finGroupType) (G : {group gT}).
Section OneRepresentation.
Variables (n : nat) (rG : mx_representation aF G n).
Local Notation rGf := (map_repr f rG).

Lemma map_regular_subseries U i (modU : mx_subseries (regular_repr aF G) U)
(modUf : mx_subseries (regular_repr rF G) [seq M^f | M <- U]) :
mx_rsim (map_repr f (subseries_repr i modU)) (subseries_repr i modUf).