Theorems · Theorem · probability

ProbabilityTheory.Kernel.trajContent_ne_top

∀ {X : ℕ → Type u_1} [inst : (n : ℕ) → MeasurableSpace (X n)]
  {κ : (n : ℕ) → ProbabilityTheory.Kernel ((i : ↥(Finset.Iic n)) → X ↑i) (X (n + 1))}
  [inst_1 : ∀ (n : ℕ), ProbabilityTheory.IsMarkovKernel (κ n)] {a : ℕ} {x : (i : ↥(Finset.Iic a)) → X ↑i}
  {s : Set ((n : ℕ) → X n)}, (ProbabilityTheory.Kernel.trajContent κ x) s ≠ ⊤

Defined in

Mathlib.Probability.Kernel.IonescuTulcea.Traj

Cited by

1 results in Mathlib

Foundations

Depth 235 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceProbabilityTheory.IsMarkovKernel