Theorems · Theorem · probability

MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable

∀ {Ω : Type u_1} {ι : Type u_3} {m : MeasurableSpace Ω} [inst : PartialOrder ι] {τ : Ω → WithTop ι}
  {f : MeasureTheory.Filtration ι m} [Countable ι],
  MeasureTheory.IsStoppingTime f τ → ∀ (i : ι), MeasurableSet {ω | τ ω = ↑i}

Defined in: Mathlib.Probability.Process.Stopping
Cited by: 0 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PartialOrder Countable

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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
PartialOrderstatement and proof · cited by 6,410
Set.ofPredstatement · cited by 6,101
Set.rangeproof · cited by 4,705
WithTopstatement and proof · cited by 3,754
MeasurableSetstatement · cited by 3,075
WithTop.somestatement · cited by 1,128
Countablestatement and proof · cited by 633
MeasureTheory.Filtrationstatement and proof · cited by 425
MeasureTheory.Filtration.seqstatement · cited by 184
MeasureTheory.IsStoppingTimestatement and proof · cited by 122
Set.to_countableproof · cited by 46

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