Theorems · Theorem · measure theory
MeasureTheory.absolutelyContinuous_map_sub_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableNeg G] [μ.IsAddLeftInvariant] (g : G),
μ.AbsolutelyContinuous (MeasureTheory.Measure.map (fun h => g - h) μ)- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- sub_eq_add_negproof · cited by 1,023
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · 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.map_mapproof · cited by 67
- MeasurableNeg.measurable_negproof · cited by 20
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