proposition: Lemma shift_toC (p : {poly R}) (a : R) : toC (p \shift a) = (toC p) \shift a%:C.
proof: Proof. by rewrite /shift_poly (map_comp_poly _ p ('X + a%:P)) rmorphD /= map_polyX map_polyC. Qed.
imports: mathcomp(all_ssreflect) mathcomp(ssralg poly polydiv polyorder ssrnum zmodp) mathcomp(polyrcf qe_rcf_th complex) poly_normal pol mathcomp(complex)