∀ {X : Type u_1} {E : Type u_6} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : NormedAddCommGroup E]
  {μ : MeasureTheory.Measure X} [OpensMeasurableSpace X] {f : X → E} [MeasureTheory.IsLocallyFiniteMeasure μ]
  [SecondCountableTopologyEither X E], Continuous f → MeasureTheory.LocallyIntegrable f μ