Theorems · Theorem · measure theory
MeasureTheory.neg_absolutelyContinuous
∀ {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.neg.AbsolutelyContinuous μ- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 4 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.
Cites11
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
- AddGroupstatement and proof · cited by 4,410
- 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.QuasiMeasurePreserving.absolutelyContinuousproof · cited by 20
- MeasureTheory.Measure.negstatement · cited by 15
- MeasureTheory.quasiMeasurePreserving_negproof · cited by 7
Cited by4
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.quasiMeasurePreserving_subproof · cited by 0