Theorems · Theorem · probability

ProbabilityTheory.Kernel.lintegral_deterministic

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {f : β → ENNReal} {g : α → β} {a : α}
  (hg : Measurable g) [MeasurableSingletonClass β],
  ∫⁻ (x : β), f x ∂(ProbabilityTheory.Kernel.deterministic g hg) a = f (g a)

Defined in

Mathlib.Probability.Kernel.Basic

Cited by

0 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSingletonClass