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Theorems · Theorem · probability

MeasureTheory.Filtration.IsRightContinuous.eq

∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : PartialOrder ι] {𝓕 : MeasureTheory.Filtration ι m}
  [h : 𝓕.IsRightContinuous], 𝓕.rightCont = 𝓕
Defined in
Mathlib.Probability.Process.Filtration
Cited by
2 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderMeasureTheory.Filtration.IsRightContinuous
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.isStoppingTime_of_measurableSet_lt_of_isRightContinuous' · cited by 1MeasureTheory.isStoppingT…MeasureTheory.Filtration.IsRightContinuous.measurableSet · cited by 0IsRightContinuous.measura…MeasurableSpace · cited by 13106MeasurableSpacePartialOrder · cited by 6410PartialOrderle_antisymm · cited by 2068le_antisymmMeasureTheory.Filtration · cited by 425MeasureTheory.FiltrationMeasureTheory.Filtration.rightCont · cited by 14Filtration.rightContMeasureTheory.Filtration.IsRightContinuous · cited by 12Filtration.IsRightContinu…MeasureTheory.Filtration.le_rightCont · cited by 2Filtration.le_rightContMeasureTheory.Filtration.IsRightContinuous.RC · cited by 1IsRightContinuous.RCIsRightContinuous.eqCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.