proposition: Lemma polyCons_propagate xi pi : I.convert xi = Inan -> poly_eqNai pi -> poly_eqNai (polyCons xi pi).
proof: Proof. move=> Hxi Hpi [|k]; rewrite size_polyCons nth_polyCons // ltnS; exact: Hpi. 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