Theorems · Theorem · probability
ProbabilityTheory.IsAEKolmogorovProcess.edist_eq_zero_of_const_eq_zero
∀ {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} {P : MeasureTheory.Measure Ω} {X : T → Ω → E},
ProbabilityTheory.IsAEKolmogorovProcess X P p q 0 → ∀ (s t : T), ∀ᵐ (ω : Ω) ∂P, edist (X s ω) (X t ω) = 0- Defined in
- Mathlib.Probability.Process.Kolmogorov
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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
- ENNRealstatement · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealstatement · cited by 4,310
- Filter.Eventuallystatement · cited by 3,134
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- MulZeroClass.zero_mulproof · cited by 1,625
- Filter.mp_memproof · cited by 1,537
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsKolmogorovProcess.edist_eq_zero_of_const_eq_zeroproof · cited by 0