Theorems · Theorem · measure theory
MeasureTheory.hausdorffMeasure_measurePreserving_funUnique
∀ (ι : Type u_1) (X : Type u_2) [inst : EMetricSpace X] [inst_1 : MeasurableSpace X] [inst_2 : BorelSpace X]
[inst_3 : Unique ι] (d : ℝ),
MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.funUnique ι X)) (MeasureTheory.Measure.hausdorffMeasure d)
(MeasureTheory.Measure.hausdorffMeasure d)- Defined in
- Mathlib.MeasureTheory.Measure.Hausdorff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 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.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- BorelSpacestatement and proof · cited by 1,602
- Uniquestatement and proof · cited by 400
- MeasurableEquivstatement · cited by 269
- MeasureTheory.MeasurePreservingstatement · cited by 259
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.hausdorffMeasurestatement · cited by 71
- MeasurableEquiv.funUniquestatement · cited by 10
- IsometryEquiv.measurePreserving_hausdorffMeasureproof · cited by 3
- IsometryEquiv.funUniqueproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hausdorffMeasure_realproof · cited by 2