Theorems · Theorem · measure theory

MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isEverywherePos

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [inst_2 : IsTopologicalGroup G]
  [inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] [LocallyCompactSpace G] (μ' μ : MeasureTheory.Measure G)
  [inst_6 : μ.IsHaarMeasure] [inst_7 : μ'.IsHaarMeasure] {s : Set G},
  MeasurableSet s → μ.IsEverywherePos s → μ' s = μ'.haarScalarFactor μ • μ s

Defined in: Mathlib.MeasureTheory.Measure.Haar.Unique
Cited by: 1 results in Mathlib
Foundations: Depth 277 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Group IsTopologicalGroup MeasurableSpace BorelSpace LocallyCompactSpace MeasureTheory.Measure.IsHaarMeasure MeasureTheory.Measure.IsHaarMeasure

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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
AddCommMonoidproof · cited by 12,281
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement and proof · cited by 9,879
Top.topproof · cited by 9,680
Set.Elemproof · cited by 7,166
Groupstatement and proof · cited by 6,238
Set.ofPredproof · cited by 6,101
nhdsproof · cited by 5,554

Cited by1

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MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isOpenproof · cited by 0