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 6 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.8.0

Exp eq zero iff

Prob.exp_eq_zero_iff

Plain-language statement

f.exp u = 0 in terms of forall, for nonnegative u

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Exp le exp of map

Prob.exp_le_exp_of_map

Plain-language statement

Bound one exp in terms of another on a different space by injecting between the spaces

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Exp mono

Prob.exp_mono'

Plain-language statement

Expectation is monotonic, general version for different distributions

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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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 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 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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