Theorems · Theorem

PMF.toOuterMeasure_bind_apply

∀ {α : Type u_1} {β : Type u_2} (p : PMF α) (f : α → PMF β) (s : Set β),
  (p.bind f).toOuterMeasure s = ∑' (a : α), p a * (f a).toOuterMeasure s

Defined in

Mathlib.Probability.ProbabilityMassFunction.Monad

Cited by

2 results in Mathlib

Foundations

Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound