Theorems · Theorem · probability
MeasureTheory.le_hittingBtwn_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 : ι} {ω : Ω} {m : ι}, (∃ j ∈ Set.Icc n m, u j ω ∈ s) → n ≤ MeasureTheory.hittingBtwn u s n m ω- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.Iccstatement and proof · cited by 1,702
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- not_leproof · cited by 328
- MeasureTheory.hittingBtwnstatement · cited by 39
- MeasureTheory.le_hittingBtwnproof · cited by 6
- Set.Icc_eq_empty_of_ltproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.hittingBtwn_lt_iffproof · cited by 3
- MeasureTheory.hittingBtwn_le_iff_of_existsproof · cited by 1