Theorems · Theorem · measure theory

MeasureTheory.Measure.isAddHaarMeasure_eq_of_isProbabilityMeasure

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G]
  [inst_3 : MeasurableSpace G] [BorelSpace G] [LocallyCompactSpace G] (μ' μ : MeasureTheory.Measure G)
  [MeasureTheory.IsProbabilityMeasure μ] [MeasureTheory.IsProbabilityMeasure μ'] [μ.IsAddHaarMeasure]
  [μ'.IsAddHaarMeasure], μ' = μ

Uniqueness of additive Haar measures: Two additive Haar measures which are probability measures coincide.

Defined in: Mathlib.MeasureTheory.Measure.Haar.Unique
Cited by: 0 results in Mathlib
Foundations: Depth 277 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace AddGroup IsTopologicalAddGroup MeasurableSpace BorelSpace LocallyCompactSpace MeasureTheory.IsProbabilityMeasure MeasureTheory.IsProbabilityMeasure MeasureTheory.Measure.IsAddHaarMeasure MeasureTheory.Measure.IsAddHaarMeasure

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