proposition: Lemma polyC_correct ci c : ci >: c -> polyC ci >:: PolR.polyC c.
proof: Proof. move=> Hc [//|k]. rewrite /polyC /PolR.polyC. rewrite nth_polyCons PolR.nth_polyCons. rewrite nth_polyNil PolR.nth_polyNil. 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