Theorems · Theorem · probability
ProbabilityTheory.HasGaussianLaw.congr
∀ {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 Y : Ω → E},
ProbabilityTheory.HasGaussianLaw X P → X =ᵐ[P] Y → ProbabilityTheory.HasGaussianLaw Y P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ProbabilityTheory.HasGaussianLawstatement and proof · cited by 67
- ProbabilityTheory.IsGaussianproof · cited by 48
- MeasureTheory.Measure.map_congrproof · cited by 17
- ProbabilityTheory.HasGaussianLaw.isGaussian_mapproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasIndepIncrements.isGaussianProcessproof · cited by 1