Theorems · Theorem · Lie groups

MeasureTheory.measure_preimage_add_right

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd G] (μ : MeasureTheory.Measure G)
  [μ.IsAddRightInvariant] (g : G) (A : Set G), μ ((fun h => h + g) ⁻¹' A) = μ A

Defined in

Mathlib.MeasureTheory.Group.Measure

Cited by

3 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddGroupMeasurableAddMeasureTheory.Measure.IsAddRightInvariant