Theorems · Definition · probability
MeasureTheory.lowerCrossingTimeAux
{Ω : Type u_1} → {ι : Type u_2} → [Preorder ι] → [InfSet ι] → ℝ → (ι → Ω → ℝ) → ι → ι → Ω → ιlowerCrossingTimeAux a f c N is the first time f reached below a after time c before
time N.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Preorderstatement and proof · cited by 7,952
- Set.Iicproof · cited by 1,111
- InfSetstatement and proof · cited by 145
- MeasureTheory.hittingBtwnproof · cited by 39
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.upperCrossingTime_succ_eqproof · cited by 5
- MeasureTheory.stoppedValue_upperCrossingTimeproof · cited by 3
- MeasureTheory.upperCrossingTime_succstatement and proof · cited by 3
- MeasureTheory.upperCrossingTime.eq_defstatement and proof · cited by 0