Section Properties1.
Context {K : AbsRing} {V : NormedModule K}.
(** Extensionality *)

(* Specifications: *)
Lemma is_series_ext (a b : nat -> V) (l : V) :
(forall n, a n = b n) -> (is_series a l)
-> is_series b l.
Lemma ex_series_ext (a b : nat -> V) :
(forall n, a n = b n) -> ex_series a
-> ex_series b.
Lemma Series_ext (a b : nat -> R) :
(forall n, a n = b n) -> Series a = Series b.