∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup β]
  {κ : Type u_4} {u : Filter κ} [u.NeBot] [u.IsCountablyGenerated] {f : κ → α → β} {g : α → β},
  MeasureTheory.UniformIntegrable f 1 μ → MeasureTheory.TendstoInMeasure μ f u g → MeasureTheory.Integrable g μ