Theorems · Theorem · measure theory
MeasureTheory.addEquivAddHaarChar_eq
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [inst_2 : MeasurableSpace G] [inst_3 : BorelSpace G]
[inst_4 : IsTopologicalAddGroup G] [inst_5 : LocallyCompactSpace G] (μ : MeasureTheory.Measure G)
[inst_6 : μ.IsAddHaarMeasure] [μ.Regular] (φ : G ≃ₜ+ G),
MeasureTheory.addEquivAddHaarChar φ = μ.addHaarScalarFactor (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.
Cites23
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
- AddGroupstatement and proof · cited by 4,410
- NNRealstatement and proof · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- LT.lt.ne'proof · cited by 1,417
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- LocallyCompactSpacestatement and proof · cited by 324
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.addEquivAddHaarChar_smul_mapproof · cited by 3
- MeasureTheory.addEquivAddHaarChar_transproof · cited by 1
- MeasureTheory.addEquivAddHaarChar_eq_one_of_compactSpaceproof · cited by 0