Theorems · Theorem · probability
MeasureTheory.upperCrossingTime_lt_bddAbove
∀ {Ω : Type u_1} {a b : ℝ} {f : ℕ → Ω → ℝ} {N : ℕ} {ω : Ω},
a < b → BddAbove {n | MeasureTheory.upperCrossingTime a b f N n ω < N}- Cited by
- 5 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.ofPredstatement · cited by 6,101
- LT.lt.leproof · cited by 2,189
- LT.lt.neproof · cited by 872
- BddAbovestatement · cited by 620
- not_leproof · cited by 328
- MeasureTheory.upperCrossingTimestatement and proof · cited by 42
- MeasureTheory.upperCrossingTime_stabilizeproof · cited by 3
- MeasureTheory.exists_upperCrossingTime_eqproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.upperCrossingTime_lt_of_le_upcrossingsBeforeproof · cited by 3
- MeasureTheory.upperCrossingTime_eq_of_upcrossingsBefore_ltproof · cited by 2
- MeasureTheory.upcrossingsBefore_lt_of_exists_upcrossingproof · cited by 1
- MeasureTheory.upcrossingsBefore_monoproof · cited by 1
- MeasureTheory.sub_eq_zero_of_upcrossingsBefore_ltproof · cited by 1