Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.is_left_invariant_chaar

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
  {K₀ : TopologicalSpace.PositiveCompacts G} (g : G) (K : TopologicalSpace.Compacts G),
  MeasureTheory.Measure.haar.chaar K₀ (TopologicalSpace.Compacts.map (fun x => g * x) ⋯ K) =
    MeasureTheory.Measure.haar.chaar K₀ K

Defined in: Mathlib.MeasureTheory.Measure.Haar.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group TopologicalSpace IsTopologicalGroup

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IsTopologicalGroupstatement and proof · cited by 469

Cited by1

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MeasureTheory.Measure.haar.is_left_invariant_haarContentproof · cited by 0