theorem extracted_formal_statement_43.{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) (i : Fin n) (h_const : Integrable (fun x => 1) μ)
  (h_bound : ∀ᵐ (ω : Ω) ∂μ, ‖X i ω‖ ≤ 1) : ∀ᵐ (a : Ω) ∂μ, ‖X i a‖ ≤ 1 := sorry

State before:
case right
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_bound : ∀ᵐ (ω : Ω) ∂μ, ‖X i ω‖ ≤ 1
⊢ ∀ᵐ (a : Ω) ∂μ, ‖X i a‖ ≤ 1

Tactic: exact h_bound

State after:

Relevant lemmas: