proposition: Lemma polyNil_correct : polyNil >:: PolR.polyNil.
proof: Proof. intro; rewrite /nth /PolR.nth ![seq.nth _ _ _]nth_nil; exact: J.zero_correct. Qed.
imports: Coq(ZArith Reals) Coquelicot(Coquelicot) mathcomp.ssreflect(ssreflect ssrfun ssrbool eqtype ssrnat seq fintype bigop) Flocq(Core) Stdlib MathComp Interval Xreal Basic_rec