∀ {ι : Type u_1} {α : Type u_3} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α]
  [CanonicallyOrderedAdd α] [inst_4 : TopologicalSpace α] [OrderClosedTopology α] {f : ι → α},
  Summable f → (∑' (i : ι), f i = 0 ↔ ∀ (x : ι), f x = 0)