Theorems · Theorem · probability
MeasureTheory.hittingAfter_eq_top_iff
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : ConditionallyCompleteLinearOrder ι] {u : ι → Ω → β} {s : Set β}
{n : ι} {ω : Ω}, MeasureTheory.hittingAfter u s n ω = ⊤ ↔ ∀ (j : ι), n ≤ j → u j ω ∉ s- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Top.topstatement · cited by 9,680
- WithTopstatement · cited by 3,754
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- MeasureTheory.hittingAfterstatement · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Submartingale.exists_tendsto_of_abs_bddAbove_auxproof · cited by 1
- MeasureTheory.hittingAfter_lt_iffproof · cited by 0