Theorems · Theorem · measure theory
MeasureTheory.mulEquivHaarChar_eq
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : MeasurableSpace G] [inst_3 : BorelSpace G]
[inst_4 : IsTopologicalGroup G] [inst_5 : LocallyCompactSpace G] (μ : MeasureTheory.Measure G)
[inst_6 : μ.IsHaarMeasure] [μ.Regular] (φ : G ≃ₜ* G),
MeasureTheory.mulEquivHaarChar φ = μ.haarScalarFactor (MeasureTheory.Measure.map (⇑φ) μ)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 279 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Groupstatement and proof · cited by 6,238
- NNRealstatement and proof · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- IsTopologicalGroupstatement and proof · cited by 469
- LocallyCompactSpacestatement and proof · cited by 324
- MeasureTheory.Measure.IsMulLeftInvariantproof · cited by 118
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.mulEquivHaarChar_smul_mapproof · cited by 3
- MeasureTheory.mulEquivHaarChar_eq_one_of_compactSpaceproof · cited by 0
- MeasureTheory.mulEquivHaarChar_transproof · cited by 0