proposition: Lemma gal1 K (g : gal_of K) : g \in 'Gal(K / 1%VS)%g.
proof: Proof. by rewrite gal_kHom ?sub1v// k1HomE ahomWin. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field) Abel(various char0)