Theorems · Theorem · probability

ProbabilityTheory.Kernel.comp_assoc

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} {δ : Type u_4} {mδ : MeasurableSpace δ} (ξ : ProbabilityTheory.Kernel γ δ)
  (η : ProbabilityTheory.Kernel β γ) (κ : ProbabilityTheory.Kernel α β), (ξ.comp η).comp κ = ξ.comp (η.comp κ)

Composition of kernels is associative.

Defined in

Mathlib.Probability.Kernel.Composition.Comp

Cited by

7 results in Mathlib

Foundations

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