Theorems · Theorem · probability

ProbabilityTheory.Kernel.measurable_density

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} [inst : MeasurableSpace.CountablyGenerated γ] (κ : ProbabilityTheory.Kernel α (γ × β))
  (ν : ProbabilityTheory.Kernel α γ) {s : Set β}, MeasurableSet s → Measurable fun p => κ.density ν p.1 p.2 s

Defined in

Mathlib.Probability.Kernel.Disintegration.Density

Cited by

4 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace.CountablyGenerated