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Theorems · Theorem · probability

MeasureTheory.upperCrossingTime_lt_nonempty

∀ {Ω : Type u_1} {a b : ℝ} {f : ℕ → Ω → ℝ} {N : ℕ} {ω : Ω},
  0 < N → {n | MeasureTheory.upperCrossingTime a b f N n ω < N}.Nonempty
Defined in
Mathlib.Probability.Martingale.Upcrossing
Cited by
2 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.upperCrossingTime_lt_of_le_upcrossingsBefore · cited by 3MeasureTheory.upperCrossi…MeasureTheory.upcrossingsBefore_lt_of_exists_upcrossing · cited by 1MeasureTheory.upcrossings…Real · cited by 25697RealSet.ofPred · cited by 6101Set.ofPredSet.Nonempty · cited by 2627Set.NonemptyMeasureTheory.upperCrossingTime · cited by 42MeasureTheory.upperCrossi…MeasureTheory.upperCrossingTi…CITED BYCITES

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