Theorems · Theorem · probability
ProbabilityTheory.covarianceBilinDual.congr_simp
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {mE : MeasurableSpace E} [inst_1 : NormedSpace ℝ E]
[inst_2 : BorelSpace E] (μ μ_1 : MeasureTheory.Measure E),
μ = μ_1 → ProbabilityTheory.covarianceBilinDual μ = ProbabilityTheory.covarianceBilinDual μ_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 270 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
- 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
- ContinuousLinearMapstatement · cited by 5,352
- BorelSpacestatement and proof · cited by 1,602
- StrongDualstatement · cited by 459
- ProbabilityTheory.covarianceBilinDualstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsGaussian.ext_iff_covarianceBilinDualproof · cited by 0