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

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Project-declaredLean 4.33.0-rc1

Posterior has Sum

Cslib.Probability.PMF.posterior_hasSum

Plain-language statement

Posterior probabilities joint(a, b) / marginal(b) sum to 1 when b is in the support of the marginal.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Posterior Dist eq prior of output Indist

Cslib.Probability.PMF.posteriorDist_eq_prior_of_outputIndist

Plain-language statement

If the output distribution of a channel does not depend on the input, then conditioning on any output with positive probability leaves the prior unchanged.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.8.0

PMF integrable of support finite

PMF.integrable_of_support_finite

Plain-language statement

Everything is integrable over PMFs with finite support

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Prob bind to Pmf

Prob.bind_toPmf

Plain-language statement

Prob.toPmf commutes with bind

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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