Theorems · Theorem · probability
ProbabilityTheory.Kernel.measurable_rnDeriv
∀ {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.rnDeriv η p.1 p.2- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- ENNRealstatement · cited by 9,879
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- measurable_constproof · cited by 156
- MeasurableSpace.CountableOrCountablyGeneratedstatement and proof · cited by 97
- ProbabilityTheory.Kernel.rnDerivstatement · cited by 45
- Measurable.ennreal_ofRealproof · cited by 19
- Measurable.subproof · cited by 14
- Measurable.divproof · cited by 9
- ProbabilityTheory.Kernel.measurable_rnDerivAuxproof · cited by 8
- ProbabilityTheory.Kernel.rnDeriv_defproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.rnDeriv_eq_rnDeriv_measureproof · cited by 13
- ProbabilityTheory.Kernel.ae_eq_of_compProd_eqproof · cited by 3
- ProbabilityTheory.Kernel.measurable_singularPart_funproof · cited by 3
- ProbabilityTheory.Kernel.withDensity_rnDeriv_mutuallySingularSetSliceproof · cited by 3
- ProbabilityTheory.Kernel.singularPart_eq_singularPart_measureproof · cited by 2
- ProbabilityTheory.rnDeriv_posterior_ae_prodproof · cited by 1
- ProbabilityTheory.rnDeriv_posterior_symmproof · cited by 1
- ProbabilityTheory.Kernel.withDensity_rnDeriv_eqproof · cited by 1
- ProbabilityTheory.Kernel.measurable_rnDeriv_rightproof · cited by 0
- ProbabilityTheory.Kernel.withDensity_rnDeriv_leproof · cited by 0