∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {f : α → E}, ¬MeasureTheory.MemLp f p μ → MeasureTheory.lpNorm f p μ = 0