Theorems · Theorem · probability
MeasureTheory.hittingAfter_lt_iff
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : ConditionallyCompleteLinearOrder ι] {u : ι → Ω → β} {s : Set β}
{n i : ι} {ω : Ω}, MeasureTheory.hittingAfter u s n ω < ↑i ↔ ∃ j ∈ Set.Ico n i, u j ω ∈ s- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.topproof · cited by 9,680
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- Set.Icostatement and proof · cited by 799
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- lt_of_le_of_ltproof · cited by 432
- MeasureTheory.hittingAfterstatement and proof · cited by 19
- csInf_lt_iffproof · cited by 4
- MeasureTheory.le_hittingAfterproof · cited by 2
- MeasureTheory.hittingAfter_eq_top_iffproof · cited by 2
- MeasureTheory.hittingAfter_le_of_memproof · cited by 2
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