proposition: Lemma normalClosure_separable E F : separable E F -> separable E (normalClosure E F).
proof: Proof. move=> sepEF; rewrite separable_big_prodv big_andE; apply/forall_inP => g ggal. by rewrite separable_aimgr// separable_prodv separable_refl. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)