Theorems · Theorem · probability

MeasureTheory.ProgMeasurable.mul

Deprecated since 2026-04-24Use MeasureTheory.IsStronglyProgressive.mul instead.

∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : Preorder ι] {f : MeasureTheory.Filtration ι m}
  {β : Type u_3} [inst_1 : TopologicalSpace β] {u v : ι → Ω → β} [inst_2 : MeasurableSpace ι] [inst_3 : Mul β]
  [ContinuousMul β],
  MeasureTheory.IsStronglyProgressive f u →
    MeasureTheory.IsStronglyProgressive f v → MeasureTheory.IsStronglyProgressive f fun i ω => u i ω * v i ω

Alias of MeasureTheory.IsStronglyProgressive.mul.

Defined in

Mathlib.Probability.Process.Adapted

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderTopologicalSpaceMeasurableSpaceMulContinuousMul