Theorems · Theorem · measure theory
MeasureTheory.addHaarScalarFactor_smul_inv_eq_distribHaarChar
∀ {G : Type u_1} {A : Type u_2} [inst : Group G] [inst_1 : AddCommGroup A] [inst_2 : DistribMulAction G A]
[inst_3 : TopologicalSpace A] [inst_4 : IsTopologicalAddGroup A] [inst_5 : LocallyCompactSpace A]
[inst_6 : ContinuousConstSMul G A] [inst_7 : MeasurableSpace A] [inst_8 : BorelSpace A] (μ : MeasureTheory.Measure A)
[inst_9 : μ.IsAddHaarMeasure] (g : G),
μ.addHaarScalarFactor ((DomMulAct.mk g)⁻¹ • μ) = (MeasureTheory.distribHaarChar A) g- Cited by
- 1 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
- AddCommGroupstatement and proof · cited by 12,871
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- NNRealstatement and proof · cited by 4,310
- MonoidHomstatement · cited by 3,629
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- one_smulproof · cited by 1,374
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.addHaarScalarFactor_smul_eq_distribHaarChar_invproof · cited by 0