Theorems · Theorem · probability
MeasureTheory.IsStoppingTime.max_const
∀ {Ω : Type u_1} {ι : Type u_3} {m : MeasurableSpace Ω} [inst : LinearOrder ι] {f : MeasureTheory.Filtration ι m}
{τ : Ω → WithTop ι},
MeasureTheory.IsStoppingTime f τ → ∀ (i : ι), MeasureTheory.IsStoppingTime f fun ω => max (τ ω) ↑i- Defined in
- Mathlib.Probability.Process.Stopping
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement · cited by 1,128
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.IsStoppingTimestatement and proof · cited by 122
- MeasureTheory.isStoppingTime_constproof · cited by 12
- MeasureTheory.IsStoppingTime.maxproof · cited by 1
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