∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) {f : α → ENNReal} {s : Set α},
  AEMeasurable f (μ.restrict s) →
    ∀ (g : α → ENNReal),
      MeasurableSet s →
        (∀ᵐ (x : α) ∂μ.restrict s, f x < ⊤) → ∫⁻ (a : α) in s, g a ∂μ.withDensity f = ∫⁻ (a : α) in s, (f * g) a ∂μ