proposition: Lemma gtr_horner : {in `[a, b] &, {mono horner p : x y /~ x < y}}.
proof: Proof. exact/leW_nmono_in/ger_horner. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg poly polydiv ssrnum zmodp) mathcomp(polyorder path interval ssrint)