Theorems · Theorem · probability
MeasureTheory.lowerCrossingTime_le_upperCrossingTime_succ
∀ {Ω : Type u_1} {ι : Type u_2} [inst : ConditionallyCompleteLinearOrderBot ι] {a b : ℝ} {f : ι → Ω → ℝ} {N : ι} {n : ℕ}
{ω : Ω}, MeasureTheory.lowerCrossingTime a b f N n ω ≤ MeasureTheory.upperCrossingTime a b f N (n + 1) ω- Cited by
- 6 results in Mathlib
- Foundations
- Depth 107 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
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- MeasureTheory.upperCrossingTimestatement · cited by 42
- MeasureTheory.lowerCrossingTimestatement and proof · cited by 23
- MeasureTheory.le_hittingBtwnproof · cited by 6
- MeasureTheory.lowerCrossingTime_leproof · cited by 4
- MeasureTheory.upperCrossingTime_succproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.upperCrossingTime_monoproof · cited by 5
- MeasureTheory.lowerCrossingTime_monoproof · cited by 3
- MeasureTheory.crossing_eq_crossing_of_upperCrossingTime_ltproof · cited by 1
- MeasureTheory.lowerCrossingTime_lt_of_lt_upcrossingsBeforeproof · cited by 1
- MeasureTheory.lowerCrossingTime_lt_upperCrossingTimeproof · cited by 1
- MeasureTheory.mul_upcrossingsBefore_leproof · cited by 1