Theorems · Theorem · probability
ProbabilityTheory.Kernel.singularPart_self
∀ {α : Type u_1} {γ : Type u_2} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
[hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] (κ : ProbabilityTheory.Kernel α γ)
[inst : ProbabilityTheory.IsFiniteKernel κ], κ.singularPart κ = 0- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
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- 0 results in Mathlib
- Foundations
- Depth 334 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- zero_applyproof · cited by 251
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
- ProbabilityTheory.Kernel.extproof · cited by 116
- MeasurableSpace.CountableOrCountablyGeneratedstatement and proof · cited by 97
- ProbabilityTheory.Kernel.singularPartstatement and proof · cited by 17
- MeasureTheory.Measure.AbsolutelyContinuous.reflproof · cited by 6
- ProbabilityTheory.Kernel.singularPart_eq_zero_iff_absolutelyContinuousproof · cited by 2
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