∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup β] {p : ENNReal} {κ : Type u_4} (u : Filter κ) [u.NeBot] [u.IsCountablyGenerated]
  {fn : ι → α → β}, MeasureTheory.UniformIntegrable fn p μ → MeasureTheory.UniformIntegrable (fun f => ↑f) p μ