∀ {X : Type u_2} {Y : Type u_3} [inst : EMetricSpace X] [inst_1 : EMetricSpace Y] [inst_2 : MeasurableSpace X]
  [inst_3 : BorelSpace X] [inst_4 : MeasurableSpace Y] [inst_5 : BorelSpace Y] (e : X ≃ᵢ Y) (d : ℝ) (s : Set Y),
  (MeasureTheory.Measure.hausdorffMeasure d) (⇑e ⁻¹' s) = (MeasureTheory.Measure.hausdorffMeasure d) s