Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.hasLaw
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {X : NNReal → Ω → ℝ}
{P : autoParam (MeasureTheory.Measure Ω) ProbabilityTheory.IsPreBrownianReal._auto_1},
ProbabilityTheory.IsPreBrownianReal X P →
∀ (I : Finset NNReal),
ProbabilityTheory.HasLaw (fun ω => I.restrict fun x => X x ω) (ProbabilityTheory.BrownianReal.projectiveFamily I)
P- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- ProbabilityTheory.HasLawstatement · cited by 69
- Finset.restrictstatement · cited by 60
- ProbabilityTheory.IsPreBrownianRealstatement and proof · cited by 23
- ProbabilityTheory.BrownianReal.projectiveFamilystatement · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsPreBrownianReal.isGaussianProcessproof · cited by 7
- ProbabilityTheory.IsPreBrownianReal.covariance_evalproof · cited by 5
- ProbabilityTheory.IsPreBrownianReal.hasLaw_evalproof · cited by 3
- ProbabilityTheory.IsPreBrownianReal.hasLaw_subproof · cited by 0
- ProbabilityTheory.IsPreBrownianReal.congrproof · cited by 0