Theorems · Theorem · measure theory
MeasureTheory.quasiMeasurePreserving_mul_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableInv G] [μ.IsMulRightInvariant] (g : G),
MeasureTheory.Measure.QuasiMeasurePreserving (fun h => g * h) μ μA right-invariant measure is quasi-preserved by left-multiplication.
This should not be confused with (measurePreserving_mul_left μ g).quasiMeasurePreserving.
- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Groupstatement and proof · cited by 6,238
- inv_invproof · cited by 494
- MeasureTheory.SFinitestatement and proof · cited by 449
- mul_inv_revproof · cited by 270
- MeasurableMul₂statement and proof · cited by 139
- MeasureTheory.Measure.QuasiMeasurePreservingstatement and proof · cited by 101
- MeasurableInvstatement and proof · cited by 98
- MeasureTheory.Measure.IsMulRightInvariantstatement and proof · cited by 42
- MeasureTheory.Measure.QuasiMeasurePreserving.compproof · cited by 21
- MeasureTheory.Measure.invproof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.