∀ {δ : Type u_1} {X : δ → Type u_3} [inst : (i : δ) → MeasurableSpace (X i)] {μ : (i : δ) → MeasureTheory.Measure (X i)}
  [inst_1 : DecidableEq δ] {s t : Finset δ} [∀ (i : δ), MeasureTheory.SigmaFinite (μ i)]
  {f g : ((i : δ) → X i) → ENNReal},
  s ⊆ t → Measurable f → Measurable g → ∫⋯∫⁻_s, f ∂μ ≤ ∫⋯∫⁻_s, g ∂μ → ∫⋯∫⁻_t, f ∂μ ≤ ∫⋯∫⁻_t, g ∂μ