Theorems · Theorem · probability

MeasureTheory.StronglyMeasurable.integral_kernel

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] ⦃f : β → E⦄,
  MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable fun x => ∫ (y : β), f y ∂κ x

Defined in

Mathlib.Probability.Kernel.MeasurableIntegral

Cited by

1 results in Mathlib

Foundations

Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace