proposition: Lemma rp_roots : all (root (map_poly ratr p)) rp.
proof: Proof. by apply/allP => x; rewrite -root_p. 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)