Theorems · Theorem · probability
ProbabilityTheory.IsPreBrownianReal.inv
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {B : NNReal → Ω → ℝ} {P : MeasureTheory.Measure Ω},
ProbabilityTheory.IsPreBrownianReal B P → ProbabilityTheory.IsPreBrownianReal (fun t ω => ↑t * B (1 / t) ω) PIf B is a pre-Brownian motion then t ↦ t * B (1 / t) is a pre-Brownian motion.
- Defined in
- Mathlib.Probability.BrownianMotion.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 324 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
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- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- NNReal.toRealstatement and proof · cited by 1,260
- eq_or_neproof · cited by 1,117
- one_ne_zeroproof · cited by 885
- LT.lt.trans_leproof · cited by 678
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