theorem extracted_formal_statement_3.{u_1} {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ : Measure Ω}
  [inst_1 : IsProbabilityMeasure μ] {f : Ω → ℝ} {C : ℝ} (h : ∀ᵐ (x : Ω) ∂μ, |f x| ≤ C) :
  |∫ (x : Ω), f x ∂μ| ≤ C := sorry

State before:
Ω : Type u_1
inst✝¹ : MeasurableSpace Ω
μ : Measure Ω
inst✝ : IsProbabilityMeasure μ
f : Ω → ℝ
C : ℝ
h : ∀ᵐ (x : Ω) ∂μ, |f x| ≤ C
⊢ |∫ (x : Ω), f x ∂μ| ≤ C

Tactic: exact @norm_expectation_le_of_norm_le_const Ω _ _ _ ℝ _ _ f C h

State after:

Relevant lemmas:
norm_expectation_le_of_norm_le_const : ∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ : Measure Ω}
  [inst_2 : IsProbabilityMeasure μ] {E : Type u_2} [inst_3 : NormedAddCommGroup E] [inst_4 : NormedSpace ℝ E]
  {f : Ω → E} {C : ℝ}, (∀ᵐ (x : Ω) ∂μ, ‖f x‖ ≤ C) → ‖∫ (x : Ω), f x ∂μ‖ ≤ C