Variables (G : {group gT}) (n : nat) (rG : mx_representation F G n).

(* Specifications: *)
Lemma pcore_sub_rstab_mxsimple M : mxsimple rG M -> 'O_p(G) \subset rstab rG M.
Lemma pcore_sub_rker_mx_irr : mx_irreducible rG -> 'O_p(G) \subset rker rG.
End ModularRepresentation.