Theorems · Theorem · measure theory
MeasureTheory.Measure.haarMeasure_apply
∀ {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} {s : Set G},
MeasurableSet s →
(MeasureTheory.Measure.haarMeasure K₀) s =
(MeasureTheory.Measure.haar.haarContent K₀).outerMeasure s /
(MeasureTheory.Measure.haar.haarContent K₀).measure ↑K₀- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Setstatement and proof · 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 · cited by 9,879
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- MeasurableSetstatement and proof · cited by 3,075
- mul_commproof · cited by 2,262
- BorelSpacestatement and proof · cited by 1,602
- div_eq_mul_invproof · cited by 715
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