theorem extracted_formal_statement_47.{u_1} {Ω : Type u_1} [inst : MeasurableSpace Ω] (μ : Measure Ω)
  [inst_1 : IsProbabilityMeasure μ] {n : ℕ} {X : Fin n → Ω → ℝ} (hXm : ∀ (i : Fin n), Measurable (X i))
  (hX_bdd : ∀ (i : Fin n), ∀ᵐ (ω : Ω) ∂μ, |X i ω| ≤ 1) (τ : ℝ) (i : Fin n)
  (h1 : Integrable (fun ω => 1 + τ * X i ω) μ) : AEStronglyMeasurable (fun ω => X i ω ^ 2) μ := sorry

State before:
case left
Ω : Type u_1
inst : MeasurableSpace Ω
μ : Measure Ω
inst_1 : IsProbabilityMeasure μ
n : ℕ
X : Fin n → Ω → ℝ
hXm : ∀ (i : Fin n), Measurable (X i)
hX_bdd : ∀ (i : Fin n), ∀ᵐ (ω : Ω) ∂μ, |X i ω| ≤ 1
τ : ℝ
i : Fin n
h1 : Integrable (fun ω => 1 + τ * X i ω) μ
⊢ AEStronglyMeasurable (fun ω => X i ω ^ 2) μ

Tactic: exact (Measurable.pow (hXm i) (by measurability)).aestronglyMeasurable

State after:

Relevant lemmas:
Measurable.pow : ∀ {β : Type u_2} {γ : Type u_3} {α : Type u_4} [inst : MeasurableSpace β] [inst_2 : MeasurableSpace γ]
  [inst_3 : Pow β γ] [inst_4 : MeasurablePow β γ] {m : MeasurableSpace α} {f : α → β} {g : α → γ},
  Measurable f → Measurable g → Measurable fun x => f x ^ g x