Theorems · Theorem · probability
ProbabilityTheory.covarianceBilin_real
∀ {μ : MeasureTheory.Measure ℝ} [MeasureTheory.IsFiniteMeasure μ] (x y : ℝ),
((ProbabilityTheory.covarianceBilin μ) x) y = x * y * ProbabilityTheory.variance id μ- Cited by
- 1 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ContinuousLinearMapstatement · cited by 5,352
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- mul_assocproof · cited by 1,667
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.MemLpproof · cited by 457
- zero_applyproof · cited by 251
- ProbabilityTheory.variancestatement and proof · cited by 104
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.covarianceBilin_real_selfproof · cited by 0