Theorems · Definition · measure theory
MeasureTheory.Measure.haarMeasure
{G : Type u_1} →
[inst : Group G] →
[inst_1 : TopologicalSpace G] →
[IsTopologicalGroup G] →
[inst : MeasurableSpace G] → [BorelSpace G] → TopologicalSpace.PositiveCompacts G → MeasureTheory.Measure GThe Haar measure on the locally compact group G, scaled so that haarMeasure K₀ K₀ = 1.
- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 174 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.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalGroupstatement and proof · cited by 469
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
- MeasureTheory.Content.measureproof · cited by 10
- MeasureTheory.Measure.haar.haarContentproof · cited by 8
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haarproof · cited by 11
- MeasureTheory.Measure.haarMeasure_selfstatement · cited by 4
- MeasureTheory.Measure.haarMeasure_uniquestatement and proof · cited by 4
- MeasureTheory.Measure.haarMeasure_closure_selfstatement and proof · cited by 1
- IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_smulHaarMeasurestatement and proof · cited by 0
- MeasureTheory.QuotientMeasureEqMeasurePreimage.haarMeasure_quotientproof · cited by 0
- MeasureTheory.Measure.absolutelyContinuous_isHaarMeasureproof · cited by 0
- MeasureTheory.mulEquivHaarChar_eq_one_of_compactSpaceproof · cited by 0
- MeasureTheory.Measure.haarMeasure.congr_simpstatement and proof · cited by 0
- MeasureTheory.Measure.haarMeasure_applystatement · cited by 0
- MeasureTheory.Measure.haarMeasure_eq_iffstatement and proof · cited by 0