Theorems · Theorem · measure theory
MeasureTheory.absolutelyContinuous_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], μ.AbsolutelyContinuous μ.inv- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Groupstatement and proof · cited by 6,238
- MeasurableSetproof · cited by 3,075
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.AbsolutelyContinuousstatement · cited by 325
- MeasurableMul₂statement and proof · cited by 139
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableInvstatement and proof · cited by 98
- MeasureTheory.Measure.AbsolutelyContinuous.mkproof · cited by 38
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.quasiMeasurePreserving_inv_of_right_invariantproof · cited by 1
- MeasureTheory.absolutelyContinuous_map_div_leftproof · cited by 0
- MeasureTheory.quasiMeasurePreserving_mul_leftproof · cited by 0
- MeasureTheory.quasiMeasurePreserving_divproof · cited by 0
- MeasureTheory.quasiMeasurePreserving_div_left_of_right_invariantproof · cited by 0