Theorems · Theorem · measure theory
MeasureTheory.quasiMeasurePreserving_div_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableInv G] [μ.IsMulLeftInvariant] (g : G),
MeasureTheory.Measure.QuasiMeasurePreserving (fun h => g / h) μ μ- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- div_eq_mul_invproof · cited by 715
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasurableMul₂statement and proof · cited by 139
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasureTheory.Measure.QuasiMeasurePreservingstatement and proof · cited by 101
- MeasurableInvstatement and proof · cited by 98
- MeasureTheory.MeasurePreserving.quasiMeasurePreservingproof · cited by 41
- MeasureTheory.Measure.QuasiMeasurePreserving.compproof · cited by 21
- MeasureTheory.quasiMeasurePreserving_invproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.quasiMeasurePreserving_div_left_of_right_invariantproof · cited by 0