∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompleteLinearOrder α] [inst_1 : Preorder β]
  [inst_2 : AddZeroClass α] [AddLeftStrictMono α] {x ε : α} {u : β → α},
  Filter.IsBoundedUnder LE.le Filter.atTop u →
    Filter.limsup u Filter.atTop ≤ x → 0 < ε → ∀ᶠ (b : β) in Filter.atTop, u b < x + ε