Theorems · Definition · measure theory
MeasureTheory.AEDisjoint
{α : Type u_2} → {m : MeasurableSpace α} → MeasureTheory.Measure α → Set α → Set α → PropTwo sets are said to be μ-a.e. disjoint if their intersection has measure zero.
- Defined in
- Mathlib.MeasureTheory.Measure.AEDisjoint
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
Cited by91
Results whose statement or proof uses this declaration.
- Disjoint.aedisjointstatement · cited by 29
- MeasureTheory.measure_iUnion₀statement and proof · cited by 8
- Set.PairwiseDisjoint.aedisjointstatement · cited by 6
- Pairwise.aedisjointstatement · cited by 5
- MeasureTheory.AEDisjoint.symmstatement and proof · cited by 5
- MeasureTheory.Measure.restrict_iUnion_aestatement and proof · cited by 5
- MeasureTheory.IsAddFundamentalDomain.aedisjointstatement · cited by 5
- MeasureTheory.IsFundamentalDomain.aedisjointstatement · cited by 5
- MeasureTheory.IsFundamentalDomain.sum_restrict_of_acproof · cited by 4
- MeasureTheory.measure_biUnion_finset₀statement and proof · cited by 4
- MeasureTheory.setIntegral_union₀statement and proof · cited by 4
- MeasureTheory.Measure.restrict_union₀statement and proof · cited by 4