Theorems · Theorem · probability
ProbabilityTheory.IsGaussianProcess.isProbabilityMeasure
∀ {T : Type u_2} {Ω : Type u_3} {E : Type u_4} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} {X : T → Ω → E}
[inst : MeasurableSpace E] [inst_1 : TopologicalSpace E] [inst_2 : AddCommMonoid E] [inst_3 : Module ℝ E],
ProbabilityTheory.IsGaussianProcess X P → MeasureTheory.IsProbabilityMeasure P- Cited by
- 6 results in Mathlib
- Foundations
- Depth 295 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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.IsProbabilityMeasurestatement · cited by 392
- ProbabilityTheory.IsGaussianProcessstatement and proof · cited by 29
- ProbabilityTheory.IsGaussianProcess.hasGaussianLawproof · cited by 10
- ProbabilityTheory.HasGaussianLaw.isProbabilityMeasureproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsGaussianProcess.indepFun_of_covariance_strongDualproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.hasIndepIncrementsproof · cited by 1
- ProbabilityTheory.IsGaussianProcess.iIndepFun_of_covariance_strongDualproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.shiftproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.indepFun_shiftproof · cited by 0
- ProbabilityTheory.IsPreBrownianReal.invproof · cited by 0