Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.integral_eval
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {B : NNReal → Ω → ℝ} {P : MeasureTheory.Measure Ω},
ProbabilityTheory.IsPreBrownianReal B P → ∀ (t : NNReal), ∫ (x : Ω), B t x ∂P = 0- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 3 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.
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.integralstatement · cited by 1,779
- ProbabilityTheory.IsPreBrownianRealstatement and proof · cited by 23
- ProbabilityTheory.integral_id_gaussianRealproof · cited by 6
- ProbabilityTheory.IsPreBrownianReal.hasLaw_evalproof · cited by 3
- ProbabilityTheory.HasLaw.integral_eqproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsPreBrownianReal.smulproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.shiftproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.invproof · cited by 0