Theorems · Theorem · measure theory

MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E] [BorelSpace E]
  [FiniteDimensional ℝ E] (μ : MeasureTheory.Measure E) [μ.IsAddHaarMeasure] {r : ℝ},
  r ≠ 0 → ∀ (x y : E) (s t : Set E), μ ({x} + r • s) / μ ({y} + r • t) = μ s / μ t

Defined in

Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar

Cited by

3 results in Mathlib

Foundations

Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMeasurableSpaceBorelSpaceFiniteDimensionalMeasureTheory.Measure.IsAddHaarMeasure