Theorems · Inductive type · probability
MeasureTheory.Filtration.IsRightContinuous
{Ω : Type u_1} →
{ι : Type u_2} → {m : MeasurableSpace Ω} → [inst : PartialOrder ι] → MeasureTheory.Filtration ι m → PropA filtration 𝓕 is right continuous if it is equal to its right continuation 𝓕₊.
- Defined in
- Mathlib.Probability.Process.Filtration
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- PartialOrderstatement · cited by 6,410
- MeasureTheory.Filtrationstatement · cited by 425
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.Filtration.IsRightContinuous.eqstatement and proof · cited by 2
- MeasureTheory.IsStoppingTime.biInfstatement and proof · cited by 2
- MeasureTheory.Filtration.IsRightContinuous.RCstatement and proof · cited by 1
- ProbabilityTheory.IsStable.locally_inductionstatement and proof · cited by 1
- ProbabilityTheory.IsPreLocalizingSequence.isLocalizingSequence_biInfstatement and proof · cited by 1
- ProbabilityTheory.IsStable.locally_locally_iffstatement and proof · cited by 1
- ProbabilityTheory.IsStable.locally_of_isPreLocalizingSequencestatement and proof · cited by 1
- MeasureTheory.isStoppingTime_of_measurableSet_lt_of_isRightContinuousstatement and proof · cited by 1
- MeasureTheory.isStoppingTime_of_measurableSet_lt_of_isRightContinuous'statement and proof · cited by 1
- MeasureTheory.Filtration.IsRightContinuous.casesOnstatement and proof · cited by 0
- ProbabilityTheory.IsStable.locally_induction₂statement and proof · cited by 0
- MeasureTheory.Filtration.IsRightContinuous.measurableSetstatement and proof · cited by 0