Theorems · Theorem · probability
MeasureTheory.stronglyAdapted_const
∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : Preorder ι] {β : Type u_4} [inst_1 : TopologicalSpace β]
(f : MeasureTheory.Filtration ι m) (x : β), MeasureTheory.StronglyAdapted f fun x_1 x_2 => x- Defined in
- Mathlib.Probability.Process.Adapted
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Preorderstatement and proof · cited by 7,952
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.StronglyAdaptedstatement · cited by 81
- MeasureTheory.stronglyAdapted_const'proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.martingale_constproof · cited by 2
- MeasureTheory.Submartingale.sum_sub_upcrossingStrat_mulproof · cited by 1