Theorems · Theorem · probability

MeasureTheory.Measure.ae_comp_of_ae_ae

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
  {κ : ProbabilityTheory.Kernel α β} {p : β → Prop},
  MeasurableSet {z | p z} → (∀ᵐ (y : α) ∂μ, ∀ᵐ (z : β) ∂κ y, p z) → ∀ᵐ (z : β) ∂μ.bind ⇑κ, p z

Defined in

Mathlib.Probability.Kernel.Composition.MeasureComp

Cited by

1 results in Mathlib

Foundations

Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound