Theorems · Theorem · probability

ProbabilityTheory.Kernel.restrict_apply

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {s : Set β}
  (κ : ProbabilityTheory.Kernel α β) (hs : MeasurableSet s) (a : α), (κ.restrict hs) a = (κ a).restrict s

Defined in

Mathlib.Probability.Kernel.Basic

Cited by

9 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound