Theorems · Theorem · probability
MeasureTheory.martingale_zero
∀ {Ω : Type u_1} (E : Type u_2) {ι : Type u_3} [inst : Preorder ι] {m0 : MeasurableSpace Ω}
[inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace ℝ E] (ℱ : MeasureTheory.Filtration ι m0)
(μ : MeasureTheory.Measure Ω), MeasureTheory.Martingale 0 ℱ μ- Defined in
- Mathlib.Probability.Martingale.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 298 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.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Preorderstatement and proof · cited by 7,952
- MeasureTheory.aeproof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.Martingalestatement · cited by 46
- MeasureTheory.condExp_zeroproof · cited by 9
- MeasureTheory.stronglyAdapted_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Submartingale.posproof · cited by 2