theorem extracted_formal_statement_35.{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) (hlam : τ ≥ 0) (i : Fin n)
  (hbdd : ∀ᵐ (ω : Ω) ∂μ, rexp (τ * X i ω) ∈ Icc (rexp (-τ)) (rexp τ)) (ω : Ω)
  (hω : rexp (τ * X i ω) ∈ Icc (rexp (-τ)) (rexp τ)) : rexp (τ * X i ω) ≤ rexp τ := sorry

State before:
case h
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
hlam : τ ≥ 0
i : Fin n
hbdd : ∀ᵐ (ω : Ω) ∂μ, rexp (τ * X i ω) ∈ Icc (rexp (-τ)) (rexp τ)
ω : Ω
hω : rexp (τ * X i ω) ∈ Icc (rexp (-τ)) (rexp τ)
⊢ rexp (τ * X i ω) ≤ rexp τ

Tactic: exact hω.2

State after:

Relevant lemmas: