proposition: Lemma lker0_map_homC (f : 'End(L)) : lker iota == 0%VS -> (map_hom f \o iota = iota \o f)%VF.
proof: Proof. by move=> kiota0; apply/lfunP => x; rewrite !comp_lfunE lker0_lfunK. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)