Hypothesis splitG : group_splitting_field G.

(* Specifications: *)
Lemma mx_irr_abelian_linear n (rG : mx_representation F G n) :
mx_irreducible rG -> abelian G -> n = 1%N.
Lemma mxsimple_abelian_linear n (rG : mx_representation F G n) M :
abelian G -> mxsimple rG M -> \rank M = 1%N.
Lemma linear_mxsimple n (rG : mx_representation F G n) (M : 'M_n) :
mxmodule rG M -> \rank M = 1%N -> mxsimple rG M.