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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 1,945 to 1,950 of 2,569 results.

Project-declaredLean 4.8.0

Exp eq cexp add cexp

Prob.exp_eq_cexp_add_cexp

Mathematical statement

exp 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

Exp eq exp cexp

Prob.exp_eq_exp_cexp

Mathematical statement

exp 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

Exp eq zero iff

Prob.exp_eq_zero_iff

Mathematical 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

Mathematical 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'

Mathematical 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

Mathematical statement

Lower bounding an exp in terms of an event

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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