Theorems · Theorem · probability

ProbabilityTheory.Kernel.measurable_lmarginalPartialTraj

∀ {X : ℕ → Type u_1} {mX : (n : ℕ) → MeasurableSpace (X n)}
  {κ : (n : ℕ) → ProbabilityTheory.Kernel ((i : ↥(Finset.Iic n)) → X ↑i) (X (n + 1))} (a b : ℕ)
  {f : ((n : ℕ) → X n) → ENNReal}, Measurable f → Measurable (ProbabilityTheory.Kernel.lmarginalPartialTraj κ a b f)

Defined in

Mathlib.Probability.Kernel.IonescuTulcea.PartialTraj

Cited by

2 results in Mathlib

Foundations

Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound