MeasureTheory.IsPredictable

Deprecated since 2026-04-24Use MeasureTheory.IsStronglyPredictable instead.

{Ω : Type u_1} →
  {ι : Type u_2} →
    {m : MeasurableSpace Ω} →
      {E : Type u_3} →
        [TopologicalSpace E] → [inst : Preorder ι] → [OrderBot ι] → MeasureTheory.Filtration ι m → (ι → Ω → E) → Prop

Alias of MeasureTheory.IsStronglyPredictable. A process is said to be predictable if it is measurable with respect to the predictable σ-algebra.

Defined in: Mathlib.Probability.Process.Predictable
Cited by: 0 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Quot.sound
Assumes: TopologicalSpace Preorder OrderBot

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement · cited by 24,529
MeasurableSpacestatement · cited by 13,106
Preorderstatement · cited by 7,952
OrderBotstatement · cited by 1,055
MeasureTheory.Filtrationstatement · cited by 425
MeasureTheory.IsStronglyPredictableproof · cited by 17

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