proposition: Lemma sub_abelem_rV_im (H : {set gT}) (L : {set 'rV['F_p]_n}) : H \subset E -> (ErV @* H \subset L) = (H \subset rV_E @* L).
proof: Proof. by move=> sHE; rewrite sub_morphim_pre ?morphim_invmE. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime) mathcomp(ssralg poly finset fingroup morphism perm) mathcomp(automorphism quotient gproduct action finalg) mathcomp(zmodp commutator cyclic center pgroup gseries) mathcomp(nilpotent sylow maximal abelian matrix) mathcomp(mxalgebra mxrepresentation)