Theorems · Theorem · probability
ProbabilityTheory.Kernel.rnDerivAux_le_one
∀ {α : Type u_1} {γ : Type u_2} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ} {κ η : ProbabilityTheory.Kernel α γ}
[hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] [ProbabilityTheory.IsFiniteKernel η],
κ ≤ η → ∀ {a : α}, κ.rnDerivAux η a ≤ᵐ[η a] 1- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 2 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.
Cites25
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
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- Set.univproof · cited by 3,945
- MeasureTheory.aestatement · cited by 2,352
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Countableproof · cited by 633
- Filter.EventuallyLEstatement · cited by 383
- zero_le_oneproof · cited by 316
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAuxproof · cited by 2
- ProbabilityTheory.Kernel.singularPart_of_subset_mutuallySingularSetSliceproof · cited by 1