Theorems · Theorem · Lie groups
MeasureTheory.Subgroup.index_mul_measure
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul G] (H : Subgroup G) [H.FiniteIndex],
MeasurableSet ↑H → ∀ (μ : MeasureTheory.Measure G) [μ.IsMulLeftInvariant], ↑H.index * μ ↑H = μ Set.univ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites34
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
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.univstatement and proof · cited by 3,945
- Subgroupstatement and proof · cited by 3,593
- MeasurableSetstatement and proof · cited by 3,075
- Finiteproof · cited by 3,029
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