Project-declaredLean 4.8.0
Pr enrich le pr
Prob.pr_enrich_le_pr
Mathematical statement
pr_mono when the left side is enriched
probabilitycomplexity theoryinteractive protocols
Source project: debate
Person-level attribution pending.
Source-pinned research
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Project-declaredLean 4.8.0
Pr eq prob
Prob.pr_eq_prob
Mathematical statement
pr/exp of an indicator is just prob
probabilitycomplexity theoryinteractive protocols
Source project: debate
Person-level attribution pending.
Project-declaredLean 4.8.0
Pr le pr enrich
Prob.pr_le_pr_enrich
Mathematical statement
pr_mono when the right side is enriched
probabilitycomplexity theoryinteractive protocols
Source project: debate
Person-level attribution pending.
Project-declaredLean 4.8.0
Pr or le
Prob.pr_or_le
Mathematical statement
pr (p ∨ q) ≤ pr p + pr q
probabilitycomplexity theoryinteractive protocols
Source project: debate
Person-level attribution pending.
Project-declaredLean 4.33.0-rc1
Alt Set eq upcrossings Before
ProbabilityTheory.altSet_eq_upcrossingsBefore
Mathematical statement
altSet X F a b m is exactly the event of at least m upcrossings of [a, b] by the monotone enumeration finIdx F t of F.
probabilitystochastic processesmeasure theory
Source project: Brownian motion
Person-level attribution pending.
Project-declaredLean 4.33.0-rc1
Class D of uniform Integrable bounded stopping Time
ProbabilityTheory.classD_of_uniformIntegrable_bounded_stoppingTime
Mathematical statement
If {stoppedValue X T : T is a bounded stopping time} is uniformly integrable, then X is of class D.
probabilitystochastic processesmeasure theory
Source project: Brownian motion
Person-level attribution pending.