Theorems · Theorem · probability

MeasureTheory.Filtration.stronglyAdapted_natural

∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : Preorder ι] {β : ι → Type u_3}
  [inst_1 : (i : ι) → TopologicalSpace (β i)] {u : (i : ι) → Ω → β i}
  [inst_2 : ∀ (i : ι), TopologicalSpace.MetrizableSpace (β i)] [mβ : (i : ι) → MeasurableSpace (β i)]
  [inst_3 : ∀ (i : ι), BorelSpace (β i)] (hum : ∀ (i : ι), MeasureTheory.StronglyMeasurable (u i)),
  MeasureTheory.StronglyAdapted (MeasureTheory.Filtration.natural u hum) u

Defined in

Mathlib.Probability.Process.Adapted

Cited by

0 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderTopologicalSpaceTopologicalSpace.MetrizableSpaceMeasurableSpaceBorelSpace