theorem extracted_formal_statement_46.{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) (h_const : Integrable (fun x => 1) μ)
  (h_mul : Integrable (fun ω => τ * X i ω) μ) (this : HasFiniteIntegral ((fun x => 1) + fun ω => τ * X i ω) μ) :
  Integrable (fun x => τ * X i x) μ := sorry

State before:
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
h_const : Integrable (fun x => 1) μ
h_mul : Integrable (fun ω => τ * X i ω) μ
this : HasFiniteIntegral ((fun x => 1) + fun ω => τ * X i ω) μ
⊢ Integrable (fun x => τ * X i x) μ

Tactic: exact h_mul

State after:

Relevant lemmas: