Theorems · Theorem · probability

ProbabilityTheory.Kernel.ae_comp_of_ae_ae

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} {κ : ProbabilityTheory.Kernel α β} {η : ProbabilityTheory.Kernel β γ} {a : α} {p : γ → Prop},
  MeasurableSet {z | p z} → (∀ᵐ (y : β) ∂κ a, ∀ᵐ (z : γ) ∂η y, p z) → ∀ᵐ (z : γ) ∂(η.comp κ) a, p z

Defined in

Mathlib.Probability.Kernel.Composition.Comp

Cited by

2 results in Mathlib

Foundations

Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound