Section Definitions.
Variables (F : fieldType) (gT : finGroupType) (G : {group gT}) (n : nat).
Variable rG : mx_representation F G n.
Definition mxmodule_form (U : 'M[term F]_n) :=
\big[And/True]_(x in G) submx_form (mulmx_term U (mx_term (rG x))) U.

Lemma mxmodule_form_qf U : qf_form (mxmodule_form U).