Theorems · Theorem · Lie groups
MeasureTheory.Measure.addHaar_singleton
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [inst_2 : TopologicalSpace G]
(μ : MeasureTheory.Measure G) [μ.IsAddHaarMeasure] [ContinuousAdd G] [BorelSpace G] (g : G), μ {g} = μ {0}- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.preimageproof · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- add_zeroproof · cited by 2,707
- BorelSpacestatement and proof · cited by 1,602
- neg_negproof · cited by 960
- ContinuousAddstatement and proof · cited by 777
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalAddGroup.IsSES.inducedMeasure_lt_of_injOnproof · cited by 0