∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f : α → ε} {s : Set α} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε],
  MeasurableSet s →
    (MeasureTheory.IntegrableOn f s μ ↔
      MeasureTheory.Integrable (f ∘ Subtype.val) (MeasureTheory.Measure.comap Subtype.val μ))