∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompleteLattice α] {f : Filter β} {u : β → α} {a : α},
  autoParam (Filter.IsBoundedUnder (fun x1 x2 => x1 ≥ x2) f u) Filter.liminf_le_of_le._auto_1 →
    (∀ (b : α), (∀ᶠ (n : β) in f, b ≤ u n) → b ≤ a) → Filter.liminf u f ≤ a