Theorems · Theorem · measure theory
MeasureTheory.Measure.haarScalarFactor.congr_simp
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [inst_2 : IsTopologicalGroup G]
[inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] (μ' μ'_1 : MeasureTheory.Measure G) (e_μ' : μ' = μ'_1)
(μ μ_1 : MeasureTheory.Measure G) (e_μ : μ = μ_1) [inst_5 : μ.IsHaarMeasure]
[inst_6 : MeasureTheory.IsFiniteMeasureOnCompacts μ'] [inst_7 : μ'.IsMulLeftInvariant],
μ'.haarScalarFactor μ = μ'_1.haarScalarFactor μ_1- Cited by
- 5 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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 · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalGroupstatement and proof · cited by 469
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasureTheory.IsFiniteMeasureOnCompactsstatement and proof · cited by 109
- MeasureTheory.Measure.IsHaarMeasurestatement and proof · cited by 63
- MeasureTheory.Measure.haarScalarFactorstatement and proof · cited by 31
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.mulEquivHaarChar_eqproof · cited by 3
- MeasureTheory.mulEquivHaarChar_reflproof · cited by 1
- MeasureTheory.Measure.modularCharacterFun_map_oneproof · cited by 0
- MeasureTheory.mulEquivHaarChar_transproof · cited by 0
- MeasureTheory.Measure.modularCharacterFun_map_mulproof · cited by 0