∀ {E : Type u_5} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E]
  [inst_3 : BorelSpace E] [inst_4 : FiniteDimensional ℝ E] (μ μ_1 : MeasureTheory.Measure E) (e_μ : μ = μ_1)
  [inst_5 : μ.IsAddHaarMeasure] (p p_1 : ℝ),
  p = p_1 → MeasureTheory.eLpNormLESNormFDerivOneConst μ p = MeasureTheory.eLpNormLESNormFDerivOneConst μ_1 p_1