Theorems · Definition · measure theory
MeasureTheory.Measure.addHaar
{G : Type u_1} →
[inst : AddGroup G] →
[inst_1 : TopologicalSpace G] →
[IsTopologicalAddGroup G] →
[inst : MeasurableSpace G] → [BorelSpace G] → [LocallyCompactSpace G] → MeasureTheory.Measure GaddHaar is some choice of a Haar measure, on a locally compact additive group.
- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- AddGroupstatement and proof · cited by 4,410
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- LocallyCompactSpacestatement and proof · cited by 324
- Classical.arbitraryproof · cited by 161
- TopologicalSpace.PositiveCompactsproof · cited by 112
- MeasureTheory.Measure.addHaarMeasureproof · cited by 21
Cited by31
Results whose statement or proof uses this declaration.
- ExistsContDiffBumpBase.wproof · cited by 11
- MeasureTheory.addEquivAddHaarCharproof · cited by 11
- ExistsContDiffBumpBase.yproof · cited by 9
- MeasureTheory.distribHaarCharproof · cited by 9
- MeasureTheory.Measure.addModularCharacterFunproof · cited by 5
- ExistsContDiffBumpBase.u_int_posstatement and proof · cited by 4
- ExistsContDiffBumpBase.w_supportproof · cited by 4
- MeasureTheory.addEquivAddHaarChar_eqproof · cited by 3
- MeasureTheory.Measure.addModularCharacterFun_eq_addHaarScalarFactorproof · cited by 3
- ExistsContDiffBumpBase.w_defstatement · cited by 2
- ExistsContDiffBumpBase.w_integralstatement and proof · cited by 2
- Besicovitch.card_le_of_separatedproof · cited by 2