∀ {Ω : Type u_1} {m : MeasurableSpace Ω} {X : Ω → ℝ} {μ : MeasureTheory.Measure Ω} {t : ℝ},
  t ≠ 0 →
    MeasureTheory.Integrable (fun ω => Real.exp (t * X ω)) μ →
      MeasureTheory.Integrable (fun ω => Real.exp (-t * X ω)) μ →
        ∀ {p : ℝ}, 0 ≤ p → MeasureTheory.Integrable (fun ω => X ω ^ p) μ