Theorems · Theorem · measure theory
MeasureTheory.Measure.euclideanHausdorffMeasure_def
∀ {X : Type u_1} [inst : EMetricSpace X] [inst_1 : MeasurableSpace X] [inst_2 : BorelSpace X] (d : ℕ),
MeasureTheory.Measure.euclideanHausdorffMeasure d =
MeasureTheory.volume.addHaarScalarFactor (MeasureTheory.Measure.hausdorffMeasure ↑d) •
MeasureTheory.Measure.hausdorffMeasure ↑d- Cited by
- 10 results in Mathlib
- Foundations
- Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- NNRealstatement · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- EuclideanSpacestatement · cited by 307
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.hausdorffMeasurestatement · cited by 71
- MeasureTheory.Measure.addHaarScalarFactorstatement · cited by 58
- MeasureTheory.Measure.euclideanHausdorffMeasurestatement and proof · cited by 21
Cited by10
Results whose statement or proof uses this declaration.
- Isometry.euclideanHausdorffMeasure_imageproof · cited by 2
- EuclideanSpace.euclideanHausdorffMeasure_eq_volumeproof · cited by 1
- LinearMap.euclideanHausdorffMeasure_imageproof · cited by 1
- MeasureTheory.euclideanHausdorffMeasure_homothety_imageproof · cited by 0
- MeasureTheory.euclideanHausdorffMeasure_homothety_preimageproof · cited by 0
- Isometry.map_euclideanHausdorffMeasureproof · cited by 0
- MeasureTheory.Measure.euclideanHausdorffMeasure_smul₀proof · cited by 0
- MeasureTheory.Measure.euclideanHausdorffMeasure_zeroproof · cited by 0
- MeasureTheory.Measure.euclideanHausdorffMeasure_zero_or_topproof · cited by 0
- Isometry.euclideanHausdorffMeasure_preimageproof · cited by 0