proposition: Lemma normal_MXn (p : {poly R}) (n : nat) : p \is normal -> p * 'X^n \is normal.
proof: Proof. move=> Hpnormal. elim : n => [ | n Hn]. by rewrite expr0 mulr1. by rewrite exprSr mulrA normal_MX. Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path choice fintype order) mathcomp(prime div bigop ssralg poly polydiv polyorder ssrnum zmodp) mathcomp(polyrcf qe_rcf_th complex)