Theorems · Theorem · probability
MeasureTheory.hittingBtwn_le_iff_of_exists
∀ {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} [WellFoundedLT ι] {m : ι},
(∃ j ∈ Set.Icc n m, u j ω ∈ s) → (MeasureTheory.hittingBtwn u s n m ω ≤ i ↔ ∃ j ∈ Set.Icc n i, u j ω ∈ s)- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- LE.le.transproof · cited by 3,151
- Set.Iccstatement and proof · cited by 1,702
- le_transproof · cited by 985
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- WellFoundedLTstatement and proof · cited by 491
- min_le_leftproof · cited by 105
- min_le_rightproof · cited by 88
- MeasureTheory.hittingBtwnstatement and proof · cited by 39
- le_minproof · cited by 21
- min_le_minproof · cited by 11
- min_rec'proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hittingBtwn_le_iff_of_ltproof · cited by 5