∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : Preorder α] [ClosedIicTopology α] {f : β → α}
  {a b : α} {x : Filter β} [x.NeBot], Filter.Tendsto f x (nhds a) → (∀ (c : β), f c ≤ b) → a ≤ b