theorem extracted_formal_statement_423.{u_1, w, u} {Ω : Type u} [inst : MeasurableSpace Ω] {Z : Type w} {n : ℕ}
  {ι : Type u_1} {f : ι → Z → ℝ} {μ : Measure Ω} [inst_1 : IsProbabilityMeasure μ] {X : Ω → Z} [inst_2 : Nonempty ι]
  [inst_3 : Countable ι] (hf : ∀ (i : ι), Measurable (f i ∘ X)) {b : ℝ} (hb : b ≥ 0)
  (hf' : ∀ (i : ι) (z : Z), |f i z| ≤ b) (hn : n = 0) :
  (∫ (x : Fin 0 → Ω),
      (fun ω => ⨆ i, |∑ k, f i (X (ω k)) - 0 • ∫ (x : Ω), (fun ω' => f i (X ω')) x ∂μ|) x ∂Measure.pi fun x => μ) ≤
    (2 * 0) • rademacherComplexity 0 f μ X := sorry

State before:
case pos
Ω : Type u
inst✝³ : MeasurableSpace Ω
Z : Type w
n : ℕ
ι : Type u_1
f : ι → Z → ℝ
μ : Measure Ω
inst✝² : IsProbabilityMeasure μ
X : Ω → Z
inst✝¹ : Nonempty ι
inst✝ : Countable ι
hf : ∀ (i : ι), Measurable (f i ∘ X)
b : ℝ
hb : b ≥ 0
hf' : ∀ (i : ι) (z : Z), |f i z| ≤ b
hn : n = 0
⊢ (∫ (x : Fin 0 → Ω),
      (fun ω => ⨆ i, |∑ k, f i (X (ω k)) - 0 • ∫ (x : Ω), (fun ω' => f i (X ω')) x ∂μ|) x ∂Measure.pi fun x => μ) ≤
    (2 * 0) • rademacherComplexity 0 f μ X

Tactic: simp

State after:

Relevant lemmas: