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Theorems · Theorem · probability

ProbabilityTheory.Kernel.isCondKernelCDF_condKernelCDF

∀ {α : Type u_1} {γ : Type u_3} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
  [inst : MeasurableSpace.CountablyGenerated γ] (κ : ProbabilityTheory.Kernel α (γ × ℝ))
  [inst_1 : ProbabilityTheory.IsFiniteKernel κ], ProbabilityTheory.IsCondKernelCDF κ.condKernelCDF κ κ.fst
Defined in
Mathlib.Probability.Kernel.Disintegration.StandardBorel
Cited by
1 results in Mathlib
Foundations
Depth 329 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace.CountablyGeneratedProbabilityTheory.IsFiniteKernel
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Around this declaration

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ProbabilityTheory.Kernel.condKernelReal · cited by 1Kernel.condKernelRealProbabilityTheory.Kernel.compProd_fst_condKernelReal · cited by 0Kernel.compProd_fst_condK…Real · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsFiniteKernel · cited by 178ProbabilityTheory.IsFinit…MeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…ProbabilityTheory.Kernel.fst · cited by 81Kernel.fstProbabilityTheory.IsCondKernelCDF · cited by 22ProbabilityTheory.IsCondK…ProbabilityTheory.isCondKernelCDF_stieltjesOfMeasurableRat · cited by 2ProbabilityTheory.isCondK…ProbabilityTheory.Kernel.isRatCondKernelCDF_density_Iic · cited by 1Kernel.isRatCondKernelCDF…ProbabilityTheory.Kernel.condKernelCDF · cited by 1Kernel.condKernelCDFKernel.isCondKernelCDF_condKe…CITED BYCITES

Cites10

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Cited by2

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