Theorems · Theorem · probability
MeasureTheory.upcrossingsBefore_le
∀ {Ω : Type u_1} {a b : ℝ} {N : ℕ} (f : ℕ → Ω → ℝ) (ω : Ω), a < b → MeasureTheory.upcrossingsBefore a b f N ω ≤ N- Cited by
- 3 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- LT.lt.neproof · cited by 872
- not_leproof · cited by 328
- MeasureTheory.upperCrossingTimeproof · cited by 42
- csSup_leproof · cited by 35
- zero_lt_iffproof · cited by 29
- MeasureTheory.upcrossingsBeforestatement · cited by 22
- MeasureTheory.upcrossingsBefore_zeroproof · cited by 3
- MeasureTheory.upperCrossingTime_eq_of_bound_leproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyAdapted.integrable_upcrossingsBeforeproof · cited by 1
- MeasureTheory.mul_upcrossingsBefore_leproof · cited by 1
- MeasureTheory.upcrossingsBefore_eq_sumproof · cited by 1