Theorems · Theorem · probability
MeasureTheory.hittingBtwn_eq_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} {m₁ m₂ : ι},
m₁ ≤ m₂ →
(∃ j ∈ Set.Icc n m₁, u j ω ∈ s) → MeasureTheory.hittingBtwn u s n m₁ ω = MeasureTheory.hittingBtwn u s n m₂ ω- Defined in
- Mathlib.Probability.Process.HittingTime
- Cited by
- 3 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.
Cites18
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_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Set.Iccstatement and proof · cited by 1,702
- InfSet.sInfproof · cited by 935
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- le_of_not_geproof · cited by 72
- Set.inter_subset_interproof · cited by 66
- csInf_leproof · cited by 51
- MeasureTheory.hittingBtwnstatement · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.crossing_eq_crossing_of_lowerCrossingTime_ltproof · cited by 1
- MeasureTheory.crossing_eq_crossing_of_upperCrossingTime_ltproof · cited by 1
- MeasureTheory.hittingBtwn_mono_rightproof · cited by 1