Theorems · Theorem · probability
ProbabilityTheory.HasLaw.hasGaussianLaw
∀ {Ω : Type u_1} {E : Type u_2} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} [inst : TopologicalSpace E]
[inst_1 : AddCommMonoid E] [inst_2 : Module ℝ E] {mE : MeasurableSpace E} {X : Ω → E} {μ : MeasureTheory.Measure E},
ProbabilityTheory.HasLaw X μ P → ∀ [ProbabilityTheory.IsGaussian μ], ProbabilityTheory.HasGaussianLaw X P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 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
- ProbabilityTheory.HasLawstatement and proof · cited by 69
- ProbabilityTheory.HasGaussianLawstatement · cited by 67
- ProbabilityTheory.IsGaussianstatement and proof · cited by 48
- ProbabilityTheory.HasLaw.map_eqproof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsPreBrownianReal.isGaussianProcessproof · cited by 7
- ProbabilityTheory.HasIndepIncrements.isPreBrownianReal_of_hasLawproof · cited by 1