{α : Type u_1} →
  [inst : PseudoMetricSpace α] →
    [inst_1 : MeasurableSpace α] →
      [OpensMeasurableSpace α] →
        [SecondCountableTopology α] →
          (μ : MeasureTheory.Measure α) →
            [MeasureTheory.IsLocallyFiniteMeasure μ] →
              (C : NNReal) →
                (∀ (x : α),
                    ∃ᶠ (r : ℝ) in nhdsWithin 0 (Set.Ioi 0),
                      μ (Metric.closedBall x (3 * r)) ≤ ↑C * μ (Metric.closedBall x r)) →
                  VitaliFamily μ