∀ {X : Type u_1} {α : ℝ} {hα₀ : 0 < α} {hα₁ : α ≤ 1} [inst : PseudoMetricSpace X] (x : X) {r : ℝ},
  0 ≤ r →
    ⇑Metric.Snowflaking.toSnowflaking '' Metric.closedBall x r =
      Metric.closedBall (Metric.Snowflaking.toSnowflaking x) (r ^ α)