Section NormedZmoduleTheory.
Variable V : normedZmodType R.
Implicit Types (u v w : V).
Hint Resolve normr_real : core.

Lemma ler_norm_sum I r (G : I -> V) (P : pred I):
`|\sum_(i <- r | P i) G i| <= \sum_(i <- r | P i) `|G i|.