Theorems · Theorem · probability

ProbabilityTheory.isCondKernelCDF_stieltjesOfMeasurableRat

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {κ : ProbabilityTheory.Kernel α (β × ℝ)} {ν : ProbabilityTheory.Kernel α β} {f : α × β → ℚ → ℝ}
  (hf : ProbabilityTheory.IsRatCondKernelCDF f κ ν) [ProbabilityTheory.IsFiniteKernel κ],
  ProbabilityTheory.IsCondKernelCDF (ProbabilityTheory.stieltjesOfMeasurableRat f ⋯) κ ν

Defined in

Mathlib.Probability.Kernel.Disintegration.CDFToKernel

Cited by

2 results in Mathlib

Foundations

Depth 262 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ProbabilityTheory.IsFiniteKernel