Theorems · Theorem · measure theory

MeasureTheory.lintegral_div_left_eq_self

∀ {G : Type u_1} [inst : MeasurableSpace G] {μ : MeasureTheory.Measure G} [inst_1 : Group G] [MeasurableMul G]
  [μ.IsMulLeftInvariant] [MeasurableInv G] [μ.IsInvInvariant] (f : G → ENNReal) (g : G),
  ∫⁻ (x : G), f (g / x) ∂μ = ∫⁻ (x : G), f x ∂μ

Defined in

Mathlib.MeasureTheory.Group.LIntegral

Cited by

0 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceGroupMeasurableMulMeasureTheory.Measure.IsMulLeftInvariantMeasurableInvMeasureTheory.Measure.IsInvInvariant