(** Cauchy *)

(* Specifications: *)
Lemma Cauchy_ex_series {K : AbsRing} {V : CompleteNormedModule K}
(a : nat -> V) :
ex_series a -> Cauchy_series a.
Lemma ex_series_Cauchy {K : AbsRing} {V : CompleteNormedModule K}
(a : nat -> V) :
Cauchy_series a -> ex_series a.