proposition: Lemma inv_map_homE (f : 'End(L')) (x : L) : f (iota x) \in (limg iota)%VS -> iota (inv_map_hom f x) = f (iota x).
proof: Proof. by move=> fiotax; rewrite !comp_lfunE limg_lfunVK. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)