∀ {α : Type u_1} {β : Type u_2} {E : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  {μ : MeasureTheory.Measure α} {ν : MeasureTheory.Measure β} [inst_2 : NormedAddCommGroup E] [MeasureTheory.SFinite ν]
  [MeasureTheory.SFinite μ] ⦃f : α × β → E⦄,
  MeasureTheory.Integrable f (μ.prod ν) → MeasureTheory.Integrable (f ∘ Prod.swap) (ν.prod μ)