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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 2,569 research declarations. Search 10,000 more complete Mathlib declarations.

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Showing 1,939 to 1,944 of 2,569 results.

Project-declaredLean 4.8.0

Cexp eq cexp add cexp

Prob.cexp_eq_cexp_add_cexp

Mathematical statement

cexp can be decomposed as positive and negative cexps, even if there are zeros

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Cexp eq cexp cexp

Prob.cexp_eq_cexp_cexp

Mathematical statement

cexp can be decomposed as a expectation over cexp's w.r.t. a function

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Cond bind le first

Prob.cond_bind_le_first

Mathematical statement

Bound an enriched cond by bounding the first half if first half props relate to second half props

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Cond bind le of forall le

Prob.cond_bind_le_of_forall_le

Mathematical statement

We can bound a cond bind uniformly in the first argument

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Cond bind le second

Prob.cond_bind_le_second

Mathematical statement

Bound an enriched cond by bounding the second half uniformly in the first half

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Exp congr

Prob.exp_congr'

Mathematical statement

General congruence for exp, allowing the probabilities to be different

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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