∀ {α : Type u} {ι : Type u_1} {F : Filter ι} [F.NeBot] [inst : ConditionallyCompleteLattice α]
  [inst_1 : TopologicalSpace α] [ClosedIciTopology α] {a : α} {f : ι → α},
  (∀ (i : ι), a ≤ f i) → Filter.Tendsto f F (nhds a) → ⨅ i, f i = a