Theorems · Theorem · probability
ProbabilityTheory.IsAEKolmogorovProcess.IsKolmogorovProcess_mk
∀ {T : Type u_1} {Ω : Type u_2} {E : Type u_3} [inst : PseudoEMetricSpace T] {mΩ : MeasurableSpace Ω}
[inst_1 : PseudoEMetricSpace E] {p q : ℝ} {M : NNReal} {P : MeasureTheory.Measure Ω} {X : T → Ω → E}
(h : ProbabilityTheory.IsAEKolmogorovProcess X P p q M),
ProbabilityTheory.IsKolmogorovProcess (ProbabilityTheory.IsAEKolmogorovProcess.mk X h) P p q M- Defined in
- Mathlib.Probability.Process.Kolmogorov
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ProbabilityTheory.IsAEKolmogorovProcessstatement and proof · cited by 13
- ProbabilityTheory.IsKolmogorovProcessstatement · cited by 12
- ProbabilityTheory.IsAEKolmogorovProcess.mkstatement · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsAEKolmogorovProcess.kolmogorovConditionproof · cited by 2
- ProbabilityTheory.IsAEKolmogorovProcess.p_posproof · cited by 2
- ProbabilityTheory.IsAEKolmogorovProcess.aestronglyMeasurable_edistproof · cited by 1
- ProbabilityTheory.IsAEKolmogorovProcess.q_posproof · cited by 1
- ProbabilityTheory.IsAEKolmogorovProcess.congrproof · cited by 0
- ProbabilityTheory.IsAEKolmogorovProcess.aemeasurableproof · cited by 0