Theorems · Theorem · measure theory

MeasureTheory.quasiMeasurePreserving_add_swap

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ ν : MeasureTheory.Measure G)
  [MeasureTheory.SFinite ν] [MeasureTheory.SFinite μ] [μ.IsAddLeftInvariant],
  MeasureTheory.Measure.QuasiMeasurePreserving (fun p => p.2 + p.1) (μ.prod ν) μ

The map (x, y) ↦ y + x is quasi-measure-preserving.

Defined in

Mathlib.MeasureTheory.Group.Prod

Cited by

0 results in Mathlib

Foundations

Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddGroupMeasurableAdd₂MeasureTheory.SFiniteMeasureTheory.SFiniteMeasureTheory.Measure.IsAddLeftInvariant