Theorems · Theorem · probability
ProbabilityTheory.Kernel.mem_mutuallySingularSetSlice
∀ {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) (a : α) (x : γ),
x ∈ κ.mutuallySingularSetSlice η a ↔ 1 ≤ κ.rnDerivAux (κ + η) a x- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Set.mem_ofPredproof · cited by 104
- MeasurableSpace.CountableOrCountablyGeneratedstatement and proof · cited by 97
- ProbabilityTheory.Kernel.rnDerivAuxstatement and proof · cited by 22
- ProbabilityTheory.Kernel.mutuallySingularSetSlicestatement · cited by 19
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