Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.eval_zero_ae_eq_zero
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {B : NNReal → Ω → ℝ} {P : MeasureTheory.Measure Ω},
ProbabilityTheory.IsPreBrownianReal B P → ∀ᵐ (ω : Ω) ∂P, B 0 ω = 0- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 323 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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- Filter.Eventuallystatement · cited by 3,134
- MeasureTheory.aestatement · cited by 2,352
- ProbabilityTheory.gaussianRealproof · cited by 77
- ProbabilityTheory.HasLawproof · cited by 69
- ProbabilityTheory.IsPreBrownianRealstatement and proof · cited by 23
- ProbabilityTheory.gaussianReal_zero_varproof · cited by 7
- ProbabilityTheory.HasLaw.ae_eq_of_diracproof · cited by 3
- ProbabilityTheory.IsPreBrownianReal.hasLaw_evalproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsBrownianReal.tendsto_nhds_zeroproof · cited by 0