Theorems · Theorem · probability
ProbabilityTheory.Kernel.withDensity_of_not_measurable
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {f : α → β → ENNReal}
(κ : ProbabilityTheory.Kernel α β) [inst : ProbabilityTheory.IsSFiniteKernel κ],
¬Measurable (Function.uncurry f) → κ.withDensity f = 0- Defined in
- Mathlib.Probability.Kernel.WithDensity
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 9,879
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
- ProbabilityTheory.Kernel.withDensitystatement · cited by 45
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.withDensity_absolutelyContinuousproof · cited by 2
- ProbabilityTheory.Kernel.withDensity_kernel_sumproof · cited by 1
- ProbabilityTheory.Kernel.isFiniteKernel_withDensity_of_boundedproof · cited by 0
- ProbabilityTheory.Kernel.isSFiniteKernel_withDensity_of_isFiniteKernelproof · cited by 0
- ProbabilityTheory.Kernel.withDensity_add_leftproof · cited by 0