∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_7} [inst : TopologicalSpace ε]
  [inst_1 : ContinuousENorm ε] {β : Type u_8} {mβ : MeasurableSpace β} {f : α → β} {g : β → ε},
  MeasureTheory.AEStronglyMeasurable g (MeasureTheory.Measure.map f μ) →
    AEMeasurable f μ →
      MeasureTheory.eLpNormEssSup g (MeasureTheory.Measure.map f μ) = MeasureTheory.eLpNormEssSup (g ∘ f) μ