proposition: Lemma eval_MulPoly e p q : eval_poly e (p ** q)%qfT = (eval_poly e p) * (eval_poly e q).
proof: Proof. elim: p q=> [|a p Hp] q /=; first by rewrite mul0r. rewrite eval_AddPoly /= eval_ScalPoly Hp. by rewrite addr0 mulrDl addrC mulrAC mul_polyC. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(finfun path matrix) mathcomp(bigop order ssralg poly polydiv ssrnum zmodp div ssrint) mathcomp(polyorder polyrcf interval polyXY) mathcomp(qe_rcf_th ordered_qelim mxtens)