-- File: FoML/FoML/BoundedDifference.lean
Theorem statement:
theorem extracted_formal_statement_5.{w, v, u} {Ω : Type u} [inst : MeasurableSpace Ω] {Z : Type w} {n : ℕ} {ι : Type v}
  {f : ι → Z → ℝ} {μ : Measure Ω} [inst_1 : Nonempty ι] [inst_2 : IsProbabilityMeasure μ] (hn : 0 < n) (X : Ω → Z)
  (hf : ∀ (i : ι), Measurable (f i ∘ X)) {b : ℝ} (hb : 0 ≤ b) (hf' : ∀ (i : ι) (z : Z), |f i z| ≤ b) :
  Integrable (fun a => b) μ := sorry

Tactic state before:
case hg
Ω : Type u
inst✝² : MeasurableSpace Ω
Z : Type w
n : ℕ
ι : Type v
f : ι → Z → ℝ
μ : Measure Ω
inst✝¹ : Nonempty ι
inst✝ : IsProbabilityMeasure μ
hn : 0 < n
X : Ω → Z
hf : ∀ (i : ι), Measurable (f i ∘ X)
b : ℝ
hb : 0 ≤ b
hf' : ∀ (i : ι) (z : Z), |f i z| ≤ b
i : Fin n
x : Fin n → Z
x' : Z
g : ι → ℝ := fun i => (↑n)⁻¹ * ∑ k, f i (x k) - ∫ (x : Ω), f i (X x) ∂μ
h : ι → ℝ := fun i_1 => (↑n)⁻¹ * ∑ k, f i_1 (Function.update x i x' k) - ∫ (x : Ω), f i_1 (X x) ∂μ
a : ι
⊢ Integrable (fun a => b) μ

Tactic: exact integrable_const b

Tactic state after:

Premises used:
MeasureTheory.integrable_const : ∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : Measure α}
  [inst : NormedAddCommGroup β] [inst_3 : IsFiniteMeasure μ] (c : β), Integrable (fun x => c) μ