Theorems · Theorem · measure theory
MeasureTheory.quasiMeasurePreserving_inv
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableInv G] [μ.IsMulLeftInvariant],
MeasureTheory.Measure.QuasiMeasurePreserving Inv.inv μ μ- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Groupstatement and proof · cited by 6,238
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- SProd.sprodproof · cited by 1,750
- Measurableproof · cited by 1,499
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.Measure.mapproof · cited by 858
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.inv_absolutelyContinuousproof · cited by 4
- MeasureTheory.measure_inv_nullproof · cited by 1
- MeasureTheory.quasiMeasurePreserving_inv_of_right_invariantproof · cited by 1
- MeasureTheory.mlconvolution_assoc₀proof · cited by 1
- MeasureTheory.mconv_withDensity_eq_mlconvolution₀proof · cited by 1
- MeasureTheory.quasiMeasurePreserving_div_leftproof · cited by 1
- MeasureTheory.inv_aeproof · cited by 1