Theorems · Theorem · probability
MeasureTheory.StronglyAdapted.measurable_upcrossingsBefore
∀ {Ω : Type u_1} {m0 : MeasurableSpace Ω} {a b : ℝ} {f : ℕ → Ω → ℝ} {N : ℕ} {ℱ : MeasureTheory.Filtration ℕ m0},
MeasureTheory.StronglyAdapted ℱ f → a < b → Measurable (MeasureTheory.upcrossingsBefore a b f N)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Set.ofPredproof · cited by 6,101
- Finset.sumproof · cited by 5,195
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- Set.indicatorproof · cited by 723
- Finset.Icoproof · cited by 450
- MeasureTheory.Filtrationstatement and proof · cited by 425
- measurable_constproof · cited by 156
- MeasureTheory.StronglyAdaptedstatement and proof · cited by 81
- MeasureTheory.Filtration.leproof · cited by 65
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyAdapted.integrable_upcrossingsBeforeproof · cited by 1
- MeasureTheory.StronglyAdapted.measurable_upcrossingsproof · cited by 1