Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.isGaussianProcess
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {B : NNReal → Ω → ℝ} {P : MeasureTheory.Measure Ω},
ProbabilityTheory.IsPreBrownianReal B P → ProbabilityTheory.IsGaussianProcess B P- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 318 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
- Finsetproof · 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.IsGaussianProcessstatement · cited by 29
- ProbabilityTheory.IsPreBrownianRealstatement and proof · cited by 23
- ProbabilityTheory.IsPreBrownianReal.hasLawproof · cited by 5
- ProbabilityTheory.HasLaw.hasGaussianLawproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsPreBrownianReal.smulproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.hasIndepIncrementsproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.aemeasurableproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.shiftproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.indepFun_shiftproof · cited by 0
- ProbabilityTheory.IsPreBrownianReal.integrable_evalproof · cited by 0
- ProbabilityTheory.IsPreBrownianReal.invproof · cited by 0