proposition: Lemma galvv E : ('Gal(E / E) = 1)%g.
proof: Proof. apply/trivgP/subsetP=> u uG; rewrite inE. by apply/gal_eqP => x xE; rewrite gal_id (fixed_gal _ uG). Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)