Theorems · Theorem · measure theory
MeasureTheory.neg_ae
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] [MeasurableNeg G] [μ.IsAddLeftInvariant], -MeasureTheory.ae μ = MeasureTheory.ae μ- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 1 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.
Cites14
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
- Filterstatement and proof · cited by 8,121
- AddGroupstatement and proof · cited by 4,410
- MeasureTheory.aestatement and proof · cited by 2,352
- le_antisymmproof · cited by 2,068
- neg_negproof · cited by 960
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasurableAdd₂statement and proof · cited by 155
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- Filter.map_monoproof · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eventuallyConst_neg_set_aeproof · cited by 0