∀ {ι : Type u_1} {f : Filter ι} {u v : ι → ℝ} [f.NeBot],
  0 ≤ᶠ[f] u →
    Filter.IsBoundedUnder (fun x1 x2 => x1 ≤ x2) f u →
      0 ≤ᶠ[f] v →
        Filter.IsCoboundedUnder (fun x1 x2 => x1 ≥ x2) f v →
          Filter.liminf u f * Filter.liminf v f ≤ Filter.liminf (u * v) f