Theorems · Definition · probability
MeasureTheory.upcrossingsBefore
{Ω : Type u_1} → {ι : Type u_2} → [inst : Preorder ι] → [OrderBot ι] → [InfSet ι] → ℝ → ℝ → (ι → Ω → ℝ) → ι → Ω → ℕThe number of upcrossings (strictly) before time N.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Preorderstatement and proof · cited by 7,952
- Set.ofPredproof · cited by 6,101
- OrderBotstatement and proof · cited by 1,055
- SupSet.sSupproof · cited by 954
- InfSetstatement and proof · cited by 145
- MeasureTheory.upperCrossingTimeproof · cited by 42
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.upcrossingsproof · cited by 9
- MeasureTheory.upcrossingsBefore_zerostatement · cited by 3
- MeasureTheory.upperCrossingTime_lt_of_le_upcrossingsBeforestatement and proof · cited by 3
- MeasureTheory.StronglyAdapted.measurable_upcrossingsBeforestatement and proof · cited by 3
- MeasureTheory.upcrossingsBefore_lestatement · cited by 3
- MeasureTheory.upcrossingsBefore_zero'statement · cited by 2
- MeasureTheory.upperCrossingTime_eq_of_upcrossingsBefore_ltstatement and proof · cited by 2
- MeasureTheory.not_frequently_of_upcrossings_lt_topproof · cited by 2
- MeasureTheory.upcrossingsBefore_lt_of_exists_upcrossingstatement and proof · cited by 1
- MeasureTheory.upcrossingsBefore_monostatement · cited by 1
- MeasureTheory.upcrossingsBefore_pos_eqstatement · cited by 1
- MeasureTheory.upcrossings_lt_top_iffstatement and proof · cited by 1