proposition: Lemma radical_Fadjoin (n : nat) (x : L) (E : {subfield L}) : (0 < n)%N -> x ^+ n \in E -> radical E x n.
proof: Proof. by move=> ? ?; apply/radicalP. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_fingroup all_algebra) mathcomp(all_solvable all_field polyrcf) Abel(various classic_ext map_gal algR) Abel(char0 cyclotomic_ext real_closed_ext)