Theorems · Theorem · probability
ProbabilityTheory.Kernel.measurable_rnDerivAux
∀ {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),
Measurable fun p => κ.rnDerivAux η p.1 p.2- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Countableproof · cited by 633
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.rnDerivproof · cited by 234
- MeasurableSet.univproof · cited by 178
Cited by8
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_rnDerivproof · cited by 11
- ProbabilityTheory.Kernel.measure_mutuallySingularSetSliceproof · cited by 4
- ProbabilityTheory.Kernel.measurableSet_mutuallySingularSetproof · cited by 4
- ProbabilityTheory.Kernel.measurable_singularPart_funproof · cited by 3
- ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAuxproof · cited by 2
- ProbabilityTheory.Kernel.measurable_rnDerivAux_rightproof · cited by 1
- ProbabilityTheory.Kernel.withDensity_rnDerivAuxproof · cited by 1