Theorems · Theorem · Lie groups

MeasureTheory.Measure.map_mul_right_inv_eq_self

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : DivisionMonoid G] [MeasurableMul G] [MeasurableInv G]
  (μ : MeasureTheory.Measure G) [μ.IsInvInvariant] [μ.IsMulLeftInvariant] (g : G),
  MeasureTheory.Measure.map (fun t => (g * t)⁻¹) μ = μ

Defined in

Mathlib.MeasureTheory.Group.Measure

Cited by

0 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceDivisionMonoidMeasurableMulMeasurableInvMeasureTheory.Measure.IsInvInvariantMeasureTheory.Measure.IsMulLeftInvariant