Theorems · Theorem · measure theory
MeasureTheory.Measure.haarMeasure_self
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
[inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] {K₀ : TopologicalSpace.PositiveCompacts G},
(MeasureTheory.Measure.haarMeasure K₀) ↑K₀ = 1- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- BorelSpacestatement and proof · cited by 1,602
- LT.lt.ne'proof · cited by 1,417
- LT.lt.neproof · cited by 872
- IsTopologicalGroupstatement and proof · cited by 469
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haarMeasure_closure_selfproof · cited by 1
- MeasureTheory.Measure.haarMeasure_eq_iffproof · cited by 0
- IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_smulHaarMeasureproof · cited by 0
- MeasureTheory.mulEquivHaarChar_eq_one_of_compactSpaceproof · cited by 0