Theorems · Theorem · probability

MeasureTheory.AEStronglyMeasurable.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} {a : α} {κ : ProbabilityTheory.Kernel α β} {η : ProbabilityTheory.Kernel β γ} {δ : Type u_5}
  [inst : TopologicalSpace δ] {f : γ → δ},
  MeasureTheory.AEStronglyMeasurable f ((η.comp κ) a) → ∀ᵐ (x : β) ∂κ a, MeasureTheory.AEStronglyMeasurable f (η x)

Defined in

Mathlib.Probability.Kernel.Composition.IntegralCompProd

Cited by

2 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace