Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.chaar_sup_eq

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
  {K₀ : TopologicalSpace.PositiveCompacts G} {K₁ K₂ : TopologicalSpace.Compacts G},
  Disjoint K₁.carrier K₂.carrier →
    IsClosed K₂.carrier →
      MeasureTheory.Measure.haar.chaar K₀ (K₁ ⊔ K₂) =
        MeasureTheory.Measure.haar.chaar K₀ K₁ + MeasureTheory.Measure.haar.chaar K₀ K₂

Defined in

Mathlib.MeasureTheory.Measure.Haar.Basic

Cited by

0 results in Mathlib

Foundations

Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupTopologicalSpaceIsTopologicalGroup