Theorems · Theorem · probability
MeasureTheory.upperCrossingTime_lt_of_le_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.upperCrossingTime a b f N n ω < N- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 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
- Set.ofPredproof · cited by 6,101
- lt_of_le_of_ltproof · cited by 432
- MeasureTheory.upperCrossingTimestatement and proof · cited by 42
- OrderBot.bddBelowproof · cited by 31
- MeasureTheory.upcrossingsBeforestatement and proof · cited by 22
- Set.Nonempty.csSup_memproof · cited by 11
- MeasureTheory.upperCrossingTime_lt_bddAboveproof · cited by 5
- MeasureTheory.upperCrossingTime_monoproof · cited by 5
- BddBelow.finite_of_bddAboveproof · cited by 3
- MeasureTheory.upperCrossingTime_lt_nonemptyproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.lowerCrossingTime_lt_of_lt_upcrossingsBeforeproof · cited by 1
- MeasureTheory.le_sub_of_le_upcrossingsBeforeproof · cited by 1
- MeasureTheory.upcrossingsBefore_eq_sumproof · cited by 1