Theorems · Theorem · probability

ProbabilityTheory.IsAEKolmogorovProcess.aestronglyMeasurable_edist

∀ {T : Type u_1} {Ω : Type u_2} {E : Type u_3} [inst : PseudoEMetricSpace T] {mΩ : MeasurableSpace Ω}
  [inst_1 : PseudoEMetricSpace E] {p q : ℝ} {M : NNReal} {P : MeasureTheory.Measure Ω} {X : T → Ω → E},
  ProbabilityTheory.IsAEKolmogorovProcess X P p q M →
    ∀ {s t : T}, MeasureTheory.AEStronglyMeasurable (fun ω => edist (X s ω) (X t ω)) P

Defined in

Mathlib.Probability.Process.Kolmogorov

Cited by

1 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace