theorem ContinuousMap.MemLp {α : Type u_1} {E : Type u_2} {m0 : MeasurableSpace α} {p : ENNReal} (μ : MeasureTheory.Measure α) [NormedAddCommGroup E] [TopologicalSpace α] [BorelSpace α] [SecondCountableTopologyEither α E] [CompactSpace α] [MeasureTheory.IsFiniteMeasure μ] (𝕜 : Type u_3) [Fact (1 ≤ p)] [NormedField 𝕜] [NormedSpace 𝕜 E] (f : C(α, E)) : MeasureTheory.MemLp (⇑f) p μ