Theorems · Theorem · measure theory

MeasureTheory.addEquivAddHaarChar_smul_preimage

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [inst_2 : MeasurableSpace G] [inst_3 : BorelSpace G]
  [inst_4 : IsTopologicalAddGroup G] [inst_5 : LocallyCompactSpace G] (μ : MeasureTheory.Measure G) [μ.IsAddHaarMeasure]
  [μ.Regular] {X : Set G} (φ : G ≃ₜ+ G), MeasureTheory.addEquivAddHaarChar φ • μ (⇑φ ⁻¹' X) = μ X

Defined in: Mathlib.MeasureTheory.Measure.Haar.MulEquivHaarChar
Cited by: 0 results in Mathlib
Foundations: Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup TopologicalSpace MeasurableSpace BorelSpace IsTopologicalAddGroup LocallyCompactSpace MeasureTheory.Measure.IsAddHaarMeasure MeasureTheory.Measure.Regular

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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
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement · cited by 9,879
Set.preimagestatement and proof · cited by 4,946
AddGroupstatement and proof · cited by 4,410
NNRealstatement · cited by 4,310
BorelSpacestatement and proof · cited by 1,602
IsTopologicalAddGroupstatement and proof · cited by 1,394
ENNReal.ofNNRealproof · cited by 1,279

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