Theorems · Theorem · probability

Measurable.lintegral_kernel_prod_left

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  [ProbabilityTheory.IsSFiniteKernel κ] {f : β → α → ENNReal},
  Measurable (Function.uncurry f) → Measurable fun y => ∫⁻ (x : β), f x y ∂κ y

Defined in

Mathlib.Probability.Kernel.MeasurableLIntegral

Cited by

3 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ProbabilityTheory.IsSFiniteKernel