∀ {E : Type u_3} {F : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F] [inst_2 : NormedSpace ℝ E]
  [inst_3 : NormedSpace ℂ F] [inst_4 : CompleteSpace F] [inst_5 : MeasurableSpace E] [inst_6 : BorelSpace E]
  {μ : MeasureTheory.Measure E} [hμ : μ.HasTemperateGrowth] {p : ENNReal} [hp : Fact (1 ≤ p)]
  (f : ↥(MeasureTheory.Lp F p μ)),
  (MeasureTheory.Lp.toTemperedDistributionCLM F μ p) f = MeasureTheory.Lp.toTemperedDistribution f