Theorems · Theorem · probability

ProbabilityTheory.Kernel.comp_null

∀ {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} {s : Set γ} (a : α),
  MeasurableSet s → (((η.comp κ) a) s = 0 ↔ (fun y => (η y) s) =ᵐ[κ a] 0)

Defined in

Mathlib.Probability.Kernel.Composition.Comp

Cited by

2 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound