Theorems · Theorem · probability

ProbabilityTheory.Kernel.comapRight_apply

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
  {mγ : MeasurableSpace γ} {f : γ → β} (κ : ProbabilityTheory.Kernel α β) (hf : MeasurableEmbedding f) (a : α),
  (κ.comapRight hf) a = MeasureTheory.Measure.comap f (κ a)

Defined in

Mathlib.Probability.Kernel.Basic

Cited by

3 results in Mathlib

Foundations

Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound