∀ {ι : Type u_1} {α : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → MeasureTheory.MeasureSpace (α i)]
  [∀ (i : ι), MeasureTheory.SigmaFinite MeasureTheory.volume] [inst_3 : (i : ι) → MetricSpace (α i)] (x : (i : ι) → α i)
  {r : ℝ}, 0 < r → MeasureTheory.volume (Metric.ball x r) = ∏ i, MeasureTheory.volume (Metric.ball (x i) r)