∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (hm : m ≤ m0) {f : α → ENNReal},
  AEMeasurable f (μ.trim hm) →
    ∀ {s : Set α}, MeasurableSet s → ∫⁻ (x : α) in s, f x ∂μ.trim hm = ∫⁻ (x : α) in s, f x ∂μ