theorem extracted_formal_statement_45 : Measurable abs := sorry

State before:
Ω : Type u_1
m : MeasurableSpace Ω
μ : Measure Ω
inst✝ : IsFiniteMeasure μ
t a b : ℝ
X : Ω → ℝ
hX : AEMeasurable X μ
h : ∀ᵐ (ω : Ω) ∂μ, X ω ∈ Set.Icc a b
c : ℝ := ‖a‖ ⊔ ‖b‖
e : ℝ → Ω → ℝ := fun t ω => rexp (t * X ω)
e' : ℝ → Ω → ℝ := fun t ω => rexp (t * X ω) * X ω
⊢ Measurable abs

Tactic: apply measurable_norm

State after:

Relevant lemmas:
measurable_norm : ∀ {α : Type u_1} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup α]
  [inst_2 : OpensMeasurableSpace α], Measurable Norm.norm