Theorems · Theorem · probability

ProbabilityTheory.Kernel.map_comp

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4} {δ : Type u_5}
  {mγ : MeasurableSpace γ} {mδ : MeasurableSpace δ} (κ : ProbabilityTheory.Kernel α β)
  (η : ProbabilityTheory.Kernel β γ) (f : γ → δ), (η.comp κ).map f = (η.map f).comp κ

Defined in

Mathlib.Probability.Kernel.Composition.CompMap

Cited by

6 results in Mathlib

Foundations

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