∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : ℕ → α → ENNReal},
  (∀ (n : ℕ), AEMeasurable (f n) μ) →
    ∫⁻ (a : α), Filter.liminf (fun n => f n a) Filter.atTop ∂μ ≤
      Filter.liminf (fun n => ∫⁻ (a : α), f n a ∂μ) Filter.atTop