Theorems · Theorem · probability

Measurable.lintegral_kernel

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  {f : β → ENNReal}, Measurable f → Measurable fun a => ∫⁻ (b : β), f b ∂κ a

Defined in

Mathlib.Probability.Kernel.MeasurableLIntegral

Cited by

6 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound