Theorems · Theorem · probability
ProbabilityTheory.HasGaussianLaw.aemeasurable
∀ {Ω : Type u_1} {E : Type u_2} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} [inst : TopologicalSpace E]
[inst_1 : AddCommMonoid E] [inst_2 : Module ℝ E] [mE : MeasurableSpace E] {X : Ω → E},
ProbabilityTheory.HasGaussianLaw X P → AEMeasurable X P- Cited by
- 11 results in Mathlib
- Foundations
- Depth 294 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapproof · cited by 858
- AEMeasurablestatement · cited by 840
- ProbabilityTheory.HasGaussianLawstatement and proof · cited by 67
- MeasureTheory.IsProbabilityMeasure.ne_zeroproof · cited by 17
- AEMeasurable.of_map_ne_zeroproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IndepFun.hasGaussianLawproof · cited by 4
- ProbabilityTheory.HasGaussianLaw.map_of_measurableproof · cited by 4
- ProbabilityTheory.HasGaussianLaw.charFunDual_map_eqproof · cited by 4
- ProbabilityTheory.HasGaussianLaw.iIndepFun_of_covariance_strongDualproof · cited by 3
- ProbabilityTheory.HasGaussianLaw.indepFun_of_covariance_strongDualproof · cited by 3
- ProbabilityTheory.iIndepFun.hasGaussianLawproof · cited by 3
- ProbabilityTheory.HasGaussianLaw.map_eq_gaussianRealproof · cited by 2
- ProbabilityTheory.HasGaussianLaw.memLpproof · cited by 2
- ProbabilityTheory.IsPreBrownianReal.aemeasurableproof · cited by 1
- ProbabilityTheory.IndepFun.hasGaussianLaw_sub_of_subproof · cited by 1
- ProbabilityTheory.HasGaussianLaw.charFun_map_eqproof · cited by 1