Theorems · Theorem · probability

ProbabilityTheory.stieltjesOfMeasurableRat_ae_eq

∀ {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) (a : α) (q : ℚ),
  (fun b => ↑(ProbabilityTheory.stieltjesOfMeasurableRat f ⋯ (a, b)) ↑q) =ᵐ[ν a] fun b => f (a, b) q

Defined in

Mathlib.Probability.Kernel.Disintegration.CDFToKernel

Cited by

3 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound