Theorems · Theorem · probability

ProbabilityTheory.IsAEKolmogorovProcess.ae_eq_mk

∀ {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}
  (h : ProbabilityTheory.IsAEKolmogorovProcess X P p q M) (t : T),
  X t =ᵐ[P] ProbabilityTheory.IsAEKolmogorovProcess.mk X h t

Defined in

Mathlib.Probability.Process.Kolmogorov

Cited by

4 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace