Theorems · Theorem · probability
ProbabilityTheory.Kernel.measurableSet_mutuallySingularSet
∀ {α : Type u_1} {γ : Type u_2} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
[hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] (κ η : ProbabilityTheory.Kernel α γ),
MeasurableSet (κ.mutuallySingularSet η)- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MeasurableSetstatement · cited by 3,075
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasurableSpace.CountableOrCountablyGeneratedstatement and proof · cited by 97
- measurableSet_Iciproof · cited by 26
- ProbabilityTheory.Kernel.measurable_rnDerivAuxproof · cited by 8
- ProbabilityTheory.Kernel.mutuallySingularSetstatement · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurableSet_mutuallySingularSetSliceproof · cited by 6
- MeasureTheory.Measure.MutuallySingular.compProd_of_rightproof · cited by 3
- ProbabilityTheory.Kernel.measurableSet_absolutelyContinuousproof · cited by 0
- ProbabilityTheory.Kernel.measurableSet_mutuallySingularproof · cited by 0