Theorems · Theorem · probability
MeasureTheory.martingale_const
∀ {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.IsFiniteMeasure μ] (x : E),
MeasureTheory.Martingale (fun x_1 x_2 => x) ℱ μ- Defined in
- Mathlib.Probability.Martingale.Basic
- Cited by
- 2 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.
Cites15
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.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Filtrationstatement and proof · cited by 425
- Filter.EventuallyEq.reflproof · cited by 108
- MeasureTheory.Filtration.leproof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.mul_integral_upcrossingsBefore_le_integral_pos_part_auxproof · cited by 1