∀ {ι : Type u_1} {α : Type u_3} {L : SummationFilter ι} [inst : Preorder α] [inst_1 : AddCommMonoid α]
  [inst_2 : TopologicalSpace α] {a c : α} {f : ι → α} [ClosedIciTopology α] [L.NeBot],
  HasSum f a L → (∀ (s : Finset ι), c ≤ ∑ i ∈ s, f i) → c ≤ a