Section Properties1.
Context {K : AbsRing} {V : NormedModule K}.
(** Extensionality *)
(** Index offset *)
End Properties1.
(** * Convergence theorems *)

Lemma Series_Rabs (a : nat -> R) :
ex_series (fun n => Rabs (a n)) ->
Rabs (Series a) <= Series (fun n => Rabs (a n)).