Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 167 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.8.0

Le exp of cut

Prob.le_exp_of_cut

Plain-language statement

Lower bounding an exp in terms of an event

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Pr enrich le pr

Prob.pr_enrich_le_pr

Plain-language statement

pr_mono when the left side is enriched

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Pr eq prob

Prob.pr_eq_prob

Plain-language statement

pr/exp of an indicator is just prob

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Pr le pr enrich

Prob.pr_le_pr_enrich

Plain-language statement

pr_mono when the right side is enriched

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Pr or le

Prob.pr_or_le

Plain-language statement

pr (p ∨ q) ≤ pr p + pr q

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Alt Set eq upcrossings Before

ProbabilityTheory.altSet_eq_upcrossingsBefore

Plain-language 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.

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