Theorems · Theorem · probability
MeasureTheory.stronglyAdapted_martingalePart
∀ {Ω : Type u_1} {E : Type u_2} {m0 : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} [inst : NormedAddCommGroup E]
[inst_1 : NormedSpace ℝ E] {f : ℕ → Ω → E} {ℱ : MeasureTheory.Filtration ℕ m0},
MeasureTheory.StronglyAdapted ℱ f → MeasureTheory.StronglyAdapted ℱ (MeasureTheory.martingalePart f ℱ μ)- Defined in
- Mathlib.Probability.Martingale.Centering
- 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.
Cites10
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
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.StronglyAdaptedstatement and proof · cited by 81
- MeasureTheory.martingalePartstatement · cited by 16
- MeasureTheory.StronglyAdapted.subproof · cited by 2
- MeasureTheory.stronglyAdapted_predictablePart'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.martingale_martingalePartproof · cited by 2