Theorems · Theorem · measure theory
MeasureTheory.absolutelyContinuous_neg
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableNeg G] [μ.IsAddLeftInvariant], μ.AbsolutelyContinuous μ.neg- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- AddGroupstatement and proof · cited by 4,410
- MeasurableSetproof · cited by 3,075
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.AbsolutelyContinuousstatement · cited by 325
- MeasurableAdd₂statement and proof · cited by 155
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- MeasureTheory.Measure.AbsolutelyContinuous.mkproof · cited by 38
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.quasiMeasurePreserving_sub_left_of_right_invariantproof · cited by 7
- MeasureTheory.quasiMeasurePreserving_add_leftproof · cited by 1
- MeasureTheory.quasiMeasurePreserving_neg_of_right_invariantproof · cited by 1
- MeasureTheory.absolutelyContinuous_map_sub_leftproof · cited by 0
- MeasureTheory.quasiMeasurePreserving_subproof · cited by 0