Theorems · Theorem · probability

ProbabilityTheory.Kernel.deterministic_comp_eq_map

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
  {mγ : MeasurableSpace γ} {f : β → γ} (hf : Measurable f) (κ : ProbabilityTheory.Kernel α β),
  (ProbabilityTheory.Kernel.deterministic f hf).comp κ = κ.map f

Defined in

Mathlib.Probability.Kernel.Composition.CompMap

Cited by

8 results in Mathlib

Foundations

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