Theorems · Theorem · measure theory
MeasureTheory.hausdorffMeasure_smul_right_image
∀ {E : Type u_5} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E]
[inst_3 : BorelSpace E] (v : E) (s : Set ℝ),
(MeasureTheory.Measure.hausdorffMeasure 1) ((fun r => r • v) '' s) =
‖v‖₊ • (MeasureTheory.Measure.hausdorffMeasure 1) s- Defined in
- Mathlib.MeasureTheory.Measure.Hausdorff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 251 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites55
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.imagestatement and proof · cited by 5,609
- Norm.normproof · cited by 5,413
- NNRealstatement and proof · cited by 4,310
- mul_oneproof · cited by 3,885
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hausdorffMeasure_lineMap_imageproof · cited by 1