Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.integrable_eval
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {B : NNReal → Ω → ℝ} {P : MeasureTheory.Measure Ω},
ProbabilityTheory.IsPreBrownianReal B P → ∀ (t : NNReal), MeasureTheory.Integrable (B t) P- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 319 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- MeasureTheory.Integrablestatement · cited by 1,367
- ProbabilityTheory.IsPreBrownianRealstatement and proof · cited by 23
- ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_evalproof · cited by 8
- ProbabilityTheory.HasGaussianLaw.integrableproof · cited by 7
- ProbabilityTheory.IsPreBrownianReal.isGaussianProcessproof · cited by 7
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