proposition: Lemma pradicalP U x p : reflect [/\ prime p & x ^+ p \in U] [&& prime p & x ^+ p \in U].
proof: Proof. exact/andP. 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)