Theorems · Theorem · probability
MeasureTheory.lowerCrossingTime_mono
∀ {Ω : Type u_1} {ι : Type u_2} [inst : ConditionallyCompleteLinearOrderBot ι] {a b : ℝ} {f : ι → Ω → ℝ} {N : ι}
{n m : ℕ} {ω : Ω}, n ≤ m → MeasureTheory.lowerCrossingTime a b f N n ω ≤ MeasureTheory.lowerCrossingTime a b f N m ω- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Monotoneproof · cited by 1,397
- le_transproof · cited by 985
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- monotone_nat_of_le_succproof · cited by 45
- MeasureTheory.lowerCrossingTimestatement and proof · cited by 23
- MeasureTheory.upperCrossingTime_le_lowerCrossingTimeproof · cited by 7
- MeasureTheory.lowerCrossingTime_le_upperCrossingTime_succproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.upcrossingStrat_le_oneproof · cited by 1
- MeasureTheory.crossing_eq_crossing_of_lowerCrossingTime_ltproof · cited by 1
- MeasureTheory.lowerCrossingTime_stabilizeproof · cited by 1