Theorems · Definition · measure theory
MeasureTheory.Measure.MutuallySingular.nullSet
{α : Type u_1} → {m0 : MeasurableSpace α} → {μ ν : MeasureTheory.Measure α} → μ.MutuallySingular ν → Set αA set such that μ h.nullSet = 0 and ν h.nullSetᶜ = 0.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 171 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.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.MutuallySingularstatement and proof · cited by 91
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.MutuallySingular.measurableSet_nullSetstatement · cited by 9
- MeasureTheory.Measure.MutuallySingular.measure_compl_nullSetstatement · cited by 7
- MeasureTheory.Measure.MutuallySingular.measure_nullSetstatement · cited by 7
- MeasureTheory.Measure.rnDeriv_eq_zero_of_mutuallySingularproof · cited by 5
- MeasureTheory.Measure.MutuallySingular.compProd_of_leftproof · cited by 5
- MeasureTheory.Measure.MutuallySingular.restrict_compl_nullSetstatement · cited by 4
- MeasureTheory.Measure.MutuallySingular.restrict_nullSetstatement · cited by 4
- MeasurableEmbedding.mutuallySingular_mapproof · cited by 2
- MeasureTheory.Measure.absolutelyContinuous_of_add_of_mutuallySingularproof · cited by 2
- MeasureTheory.Measure.mutuallySingular_of_mutuallySingular_compProdproof · cited by 2
- MeasureTheory.Measure.MutuallySingular.disjointproof · cited by 1
- MeasureTheory.Measure.MutuallySingular.disjoint_aeproof · cited by 1