Theorems · Theorem · probability
MeasureTheory.hittingBtwn_mono_left
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : ConditionallyCompleteLinearOrder ι] (u : ι → Ω → β) (s : Set β)
(m : ι), Monotone fun x => MeasureTheory.hittingBtwn u s x mhittingBtwn is monotone with respect to the minimal time.
- 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.
Cites13
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.ofPredproof · cited by 6,101
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- Set.Iccproof · cited by 1,702
- Monotonestatement · cited by 1,397
- InfSet.sInfproof · cited by 935
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- Set.inter_subset_interproof · cited by 66
- MeasureTheory.hittingBtwnstatement · cited by 39
- Set.Icc_subset_Iccproof · cited by 27
- csInf_le_csInfproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hittingBtwn_apply_mono_leftproof · cited by 0