Theorems · Theorem · probability

ProbabilityTheory.covarianceBilin_stdGaussian

∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
  [inst_3 : MeasurableSpace E] [inst_4 : BorelSpace E],
  ProbabilityTheory.covarianceBilin (ProbabilityTheory.stdGaussian E) = innerSL ℝ

Defined in: Mathlib.Probability.Distributions.Gaussian.Multivariate
Cited by: 1 results in Mathlib
Foundations: Depth 316 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup InnerProductSpace FiniteDimensional MeasurableSpace BorelSpace

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Cites27

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
Norm.normproof · cited by 5,413
ContinuousLinearMapstatement · cited by 5,352
InnerProductSpacestatement and proof · cited by 3,523
SeminormedAddCommGroupproof · cited by 2,671
FiniteDimensionalstatement and proof · cited by 1,854
Complex.ofRealproof · cited by 1,654
MulZeroClass.zero_mulproof · cited by 1,625
BorelSpacestatement and proof · cited by 1,602

Cited by1

Results whose statement or proof uses this declaration.

ProbabilityTheory.covarianceBilin_multivariateGaussianproof · cited by 3