∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {p : ENNReal}
  [inst : NormedAddCommGroup E] [inst_1 : Lattice E] [inst_2 : HasSolidNorm E] [inst_3 : IsOrderedAddMonoid E]
  (f g : α →ₘ[μ] E), f ∈ MeasureTheory.Lp E p μ → g ∈ MeasureTheory.Lp E p μ → f ⊔ g ∈ MeasureTheory.Lp E p μ