Theorems · Definition · measure theory
MeasureTheory.mulEquivHaarChar
{G : Type u_1} →
[inst : Group G] →
[inst_1 : TopologicalSpace G] →
[inst_2 : MeasurableSpace G] →
[BorelSpace G] → [IsTopologicalGroup G] → [LocallyCompactSpace G] → G ≃ₜ* G → NNRealIf φ : G ≃ₜ* G then mulEquivHaarChar φ is the positive real factor by which
φ scales Haar measures on G.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 271 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.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Groupstatement and proof · cited by 6,238
- NNRealstatement · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.Measure.mapproof · cited by 858
- IsTopologicalGroupstatement and proof · cited by 469
- LocallyCompactSpacestatement and proof · cited by 324
- ContinuousMulEquivstatement and proof · cited by 65
- MeasureTheory.Measure.haarScalarFactorproof · cited by 31
- MeasureTheory.Measure.haarproof · cited by 11
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.mulEquivHaarChar_smul_mapstatement · cited by 3
- MeasureTheory.mulEquivHaarChar_eqstatement · cited by 3
- MeasureTheory.mulEquivHaarChar_smul_integral_mapstatement and proof · cited by 1
- MeasureTheory.mulEquivHaarChar.congr_simpstatement and proof · cited by 1
- MeasureTheory.mulEquivHaarChar_reflstatement · cited by 1
- MeasureTheory.mulEquivHaarChar_smul_eq_comapstatement and proof · cited by 0
- MeasureTheory.integral_comap_eq_mulEquivHaarChar_smulstatement and proof · cited by 0
- MeasureTheory.mulEquivHaarChar_smul_preimagestatement and proof · cited by 0
- MeasureTheory.mulEquivHaarChar_symmstatement · cited by 0
- MeasureTheory.mulEquivHaarChar_transstatement and proof · cited by 0
- MeasureTheory.mulEquivHaarChar_eq_one_of_compactSpacestatement · cited by 0
- MeasureTheory.mulEquivHaarChar_posstatement · cited by 0