proposition: Lemma rpK i : (i < d)%N -> rp`_i \in K.
proof: Proof. by move=> ltid; rewrite [_ \in _](allP all_rpK) ?mem_nth ?size_rp. 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)