Theorems · Theorem · probability
MeasureTheory.upperCrossingTime_le
∀ {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.upperCrossingTime a b f N n ω ≤ N- Cited by
- 10 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.
Cites4
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.upperCrossingTime_succproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.upperCrossingTime_le_lowerCrossingTimeproof · cited by 7
- MeasureTheory.upperCrossingTime_stabilizeproof · cited by 3
- MeasureTheory.stoppedValue_upperCrossingTimeproof · cited by 3
- MeasureTheory.exists_upperCrossingTime_eqproof · cited by 2
- MeasureTheory.upperCrossingTime_eq_of_upcrossingsBefore_ltproof · cited by 2
- MeasureTheory.upperCrossingTime_bound_eqproof · cited by 1
- MeasureTheory.upperCrossingTime_eq_of_bound_leproof · cited by 1
- MeasureTheory.mul_upcrossingsBefore_leproof · cited by 1
- MeasureTheory.upperCrossingTime_stabilize'proof · cited by 1
- MeasureTheory.upperCrossingTime_zero'proof · cited by 0