Theorems · Theorem · probability
MeasureTheory.lowerCrossingTime_lt_of_lt_upcrossingsBefore
∀ {Ω : Type u_1} {a b : ℝ} {f : ℕ → Ω → ℝ} {N n : ℕ} {ω : Ω},
0 < N → a < b → n < MeasureTheory.upcrossingsBefore a b f N ω → MeasureTheory.lowerCrossingTime a b f N n ω < N- Cited by
- 1 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.
Cites6
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_of_le_of_ltproof · cited by 432
- MeasureTheory.lowerCrossingTimestatement · cited by 23
- MeasureTheory.upcrossingsBeforestatement and proof · cited by 22
- MeasureTheory.lowerCrossingTime_le_upperCrossingTime_succproof · cited by 6
- MeasureTheory.upperCrossingTime_lt_of_le_upcrossingsBeforeproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.le_sub_of_le_upcrossingsBeforeproof · cited by 1