proposition: Lemma char0_solvable_extE E F : has_char0 L -> solvable_ext E F = solvable 'Gal(normalClosure E F / E).
proof: Proof. by rewrite /solvable_ext => /char0_separable->. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)