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Theorems · Definition · probability

ProbabilityTheory.Kernel.condKernelUnitReal

{α : Type u_1} →
  {mα : MeasurableSpace α} →
    (κ : ProbabilityTheory.Kernel Unit (α × ℝ)) →
      [ProbabilityTheory.IsFiniteKernel κ] → ProbabilityTheory.Kernel (Unit × α) ℝ

Auxiliary definition for MeasureTheory.Measure.condKernel and ProbabilityTheory.Kernel.condKernel. A conditional kernel for κ : Kernel Unit (α × ℝ).

Defined in
Mathlib.Probability.Kernel.Disintegration.StandardBorel
Cited by
0 results in Mathlib
Foundations
Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ProbabilityTheory.IsFiniteKernel
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.Kernel.condKernelUnitBorel · cited by 3Kernel.condKernelUnitBorelDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsFiniteKernel · cited by 178ProbabilityTheory.IsFinit…ProbabilityTheory.condCDF · cited by 20ProbabilityTheory.condCDFProbabilityTheory.IsCondKernelCDF.toKernel · cited by 9IsCondKernelCDF.toKernelKernel.condKernelUnitRealCITED BYCITES

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