Section OneRepresentation.
Variable gT : finGroupType.
Variables (G : {group gT}) (n : nat) (rG : mx_representation F G n).
Arguments rG _%group_scope : extra scopes.
Local Notation E_G := (enveloping_algebra_mx rG).
Canonical rstabs_group := Group rstabs_group_set.
Definition mxmodule := G \subset rstabs.
End Stabilisers.
Arguments mxmoduleP {m U}.

Lemma bigcapmx_module I r (P : pred I) U :
(forall i, P i -> mxmodule (U i)) -> mxmodule (\bigcap_(i <- r | P i) U i)%MS.