∀ {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.IsFiniteMeasure μ] {f : β → E},
  μ ≠ 0 → (MeasureTheory.Integrable (fun x => f x.2) (μ.prod ν) ↔ MeasureTheory.Integrable f ν)