∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (hm : m ≤ m0)
  [MeasureTheory.SigmaFinite (μ.trim hm)] (C : ENNReal) {f : α → ENNReal},
  (∀ (s : Set α), MeasurableSet s → μ s ≠ ⊤ → ∫⁻ (x : α) in s, f x ∂μ ≤ C) → ∫⁻ (x : α), f x ∂μ ≤ C