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

Lemma ex_series_le {K : AbsRing} {V : CompleteNormedModule K}
(a : nat -> V) (b : nat -> R) :
(forall n : nat, norm (a n) <= b n) ->
ex_series b -> ex_series a.