proposition: Lemma deg2_poly_gt0m x : r1 < x < r2 -> 0 < p.[x].
proof: Proof. by move=> ?; rewrite -oppr_lt0 -hornerN deg2_poly_lt0m// deltaN r1N r2N. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)