Theorems · Theorem · probability
MeasureTheory.upperCrossingTime_stabilize
∀ {Ω : Type u_1} {a b : ℝ} {f : ℕ → Ω → ℝ} {N n m : ℕ} {ω : Ω},
n ≤ m → MeasureTheory.upperCrossingTime a b f N n ω = N → MeasureTheory.upperCrossingTime a b f N m ω = N- Cited by
- 3 results in Mathlib
- Foundations
- Depth 110 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
- le_antisymmproof · cited by 2,068
- le_transproof · cited by 985
- le_of_eqproof · cited by 366
- MeasureTheory.upperCrossingTimestatement and proof · cited by 42
- MeasureTheory.upperCrossingTime_leproof · cited by 10
- MeasureTheory.upperCrossingTime_monoproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.upperCrossingTime_lt_bddAboveproof · cited by 5
- MeasureTheory.upperCrossingTime_bound_eqproof · cited by 1
- MeasureTheory.upperCrossingTime_stabilize'proof · cited by 1