Theorems · Theorem · probability
MeasureTheory.isStoppingTime_const
∀ {Ω : Type u_1} {ι : Type u_3} {m : MeasurableSpace Ω} [inst : Preorder ι] (f : MeasureTheory.Filtration ι m) (i : ι),
MeasureTheory.IsStoppingTime f fun x => ↑i- Defined in
- Mathlib.Probability.Process.Stopping
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Preorderstatement and proof · cited by 7,952
- WithTop.somestatement and proof · cited by 1,128
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.IsStoppingTimestatement · cited by 122
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.IsStoppingTime.min_constproof · cited by 8
- MeasureTheory.IsStoppingTime.measurableSpace_conststatement and proof · cited by 4
- MeasureTheory.IsStoppingTime.measurableSpace_le_of_le_constproof · cited by 2
- MeasureTheory.IsStoppingTime.measurableSpace_min_constproof · cited by 2
- MeasureTheory.StronglyAdapted.isStoppingTime_crossingproof · cited by 2
- MeasureTheory.submartingale_of_expected_stoppedValue_monoproof · cited by 1
- MeasureTheory.Submartingale.stoppedProcessproof · cited by 1
- MeasureTheory.isStoppingTime_piecewise_constproof · cited by 1
- MeasureTheory.IsStoppingTime.measurableSet_inter_le_const_iffproof · cited by 1
- MeasureTheory.IsStoppingTime.max_constproof · cited by 0
- MeasureTheory.maximal_ineqproof · cited by 0
- MeasureTheory.IsStoppingTime.le_measurableSpace_of_const_leproof · cited by 0