Theorems · Theorem · probability
ProbabilityTheory.Kernel.withDensity_rnDeriv_le
∀ {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)
[ProbabilityTheory.IsFiniteKernel κ] [inst : ProbabilityTheory.IsFiniteKernel η] (a : α),
(η.withDensity (κ.rnDeriv η)) a ≤ κ a- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 335 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- Set.Nonemptyproof · cited by 2,627
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
- MeasurableSpace.CountableOrCountablyGeneratedstatement and proof · cited by 97
- ProbabilityTheory.Kernel.rnDerivstatement · cited by 45
- ProbabilityTheory.Kernel.withDensitystatement · cited by 45
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