proposition: Lemma eval_Deriv e p : eval_poly e (Deriv p) = (eval_poly e p)^`().
proof: Proof. elim: p=> [|a p ihp] /=; first by rewrite deriv0. by rewrite eval_AddPoly /= addr0 ihp !derivE. 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)