Theorems · Theorem · linear algebra
LinearMap.BilinForm.IsPosSemidef.isSymm
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] [inst_3 : LE R]
{B : LinearMap.BilinForm R M}, B.IsPosSemidef → B.IsSymm- Cited by
- 6 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.BilinForm.IsSymmstatement · cited by 35
- LinearMap.BilinForm.IsPosSemidefstatement and proof · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsGaussianProcess.isPreBrownianReal_of_covarianceproof · cited by 4
- LinearMap.BilinForm.isPosSemidef_defproof · cited by 2
- ProbabilityTheory.gaussian_charFunDual_congrproof · cited by 1
- ProbabilityTheory.gaussian_charFun_congrproof · cited by 1
- LinearMap.BilinForm.IsPosSemidef.smulproof · cited by 0
- ProbabilityTheory.isGaussian_iff_gaussian_charFunproof · cited by 0