Theorems · Theorem · probability
ProbabilityTheory.isPosSemidef_covarianceBilinDual
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {mE : MeasurableSpace E} {μ : MeasureTheory.Measure E}
[inst_1 : NormedSpace ℝ E] [inst_2 : BorelSpace E], (ProbabilityTheory.covarianceBilinDual μ).toBilinForm.IsPosSemidef- Cited by
- 4 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- RingHom.idstatement · cited by 18,349
- 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
- BorelSpacestatement and proof · cited by 1,602
- StrongDualstatement · cited by 459
- ProbabilityTheory.covarianceBilinDualstatement · cited by 22
- LinearMap.BilinForm.IsPosSemidefstatement · cited by 13
- ContinuousLinearMap.toBilinFormstatement · cited by 10
- ProbabilityTheory.covarianceBilinDual_commproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.isGaussian_iff_gaussian_charFunDualproof · cited by 4
- ProbabilityTheory.IndepFun.hasGaussianLawproof · cited by 4
- ProbabilityTheory.iIndepFun.hasGaussianLawproof · cited by 3
- ProbabilityTheory.gaussian_charFunDual_congrproof · cited by 1