Theorems · Theorem · probability

MeasureTheory.StronglyAdapted.mul

∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : Preorder ι] {f : MeasureTheory.Filtration ι m}
  {β : ι → Type u_3} [inst_1 : (i : ι) → TopologicalSpace (β i)] {u v : (i : ι) → Ω → β i}
  [inst_2 : (i : ι) → Mul (β i)] [∀ (i : ι), ContinuousMul (β i)],
  MeasureTheory.StronglyAdapted f u → MeasureTheory.StronglyAdapted f v → MeasureTheory.StronglyAdapted f (u * v)

Defined in

Mathlib.Probability.Process.Adapted

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderTopologicalSpaceMulContinuousMul