Theorems · Theorem · probability
MeasureTheory.hittingAfter_anti
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : ConditionallyCompleteLinearOrder ι] (u : ι → Ω → β) (n : ι),
Antitone fun x => MeasureTheory.hittingAfter u x nhittingAfter is nonincreasing with respect to the set.
- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Set.ofPredproof · cited by 6,101
- WithTopstatement · cited by 3,754
- WithTop.someproof · cited by 1,128
- InfSet.sInfproof · cited by 935
- Antitonestatement · cited by 563
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- Set.mem_of_subset_of_memproof · cited by 48
- Set.ofPred_subset_ofPred_of_impproof · cited by 22
- MeasureTheory.hittingAfterstatement · cited by 19
- csInf_le_csInfproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hittingAfter_apply_antiproof · cited by 0