Theorems · Theorem · probability
MeasureTheory.hittingBtwn_bot_le_iff
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : ConditionallyCompleteLinearOrderBot ι] [WellFoundedLT ι]
{u : ι → Ω → β} {s : Set β} {i n : ι} {ω : Ω},
(∃ j ≤ n, u j ω ∈ s) → (MeasureTheory.hittingBtwn u s ⊥ n ω ≤ i ↔ ∃ j ≤ i, u j ω ∈ s)- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Bot.botstatement and proof · cited by 4,720
- LE.le.transproof · cited by 3,151
- WellFoundedLTstatement and proof · cited by 491
- lt_or_geproof · cited by 182
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- MeasureTheory.hittingBtwnstatement · cited by 39
- MeasureTheory.hittingBtwn_leproof · cited by 8
- Set.Icc_botproof · cited by 7
- MeasureTheory.hittingBtwn_le_iff_of_ltproof · cited by 5
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