Theorems · Theorem · measure theory

IsometryEquiv.hausdorffMeasure_image

∀ {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 X),
  (MeasureTheory.Measure.hausdorffMeasure d) (⇑e '' s) = (MeasureTheory.Measure.hausdorffMeasure d) s

Defined in

Mathlib.MeasureTheory.Measure.Hausdorff

Cited by

3 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

EMetricSpaceEMetricSpaceMeasurableSpaceBorelSpaceMeasurableSpaceBorelSpace