Theorems · Theorem · probability
MeasureTheory.hittingAfter_le_of_mem
∀ {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}, n ≤ i → u i ω ∈ s → MeasureTheory.hittingAfter u s n ω ≤ ↑i- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- csInf_leproof · cited by 51
- Set.mem_interproof · cited by 25
- MeasureTheory.hittingAfterstatement · cited by 19
- BddBelow.inter_of_leftproof · cited by 7
- bddBelow_Iciproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.hittingAfter_le_iffproof · cited by 0
- MeasureTheory.hittingAfter_lt_iffproof · cited by 0