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

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Project-declaredLean 4.33.0-rc1

Totalize nonsink mtr iff

Cslib.LTS.totalize.nonsink_mtr_iff

Plain-language statement

In totalize, the multistep transitions between non-sink states correspond exactly to the multistep transitions in the original LTS.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Ae mem version Space of realizable

Cslib.MachineLearning.PACLearning.ae_mem_versionSpace_of_realizable

Plain-language statement

Under iid sampling from the realizable joint distribution induced by c ∈ C and a probability measure P on α, the target concept c lies in the version space almost surely.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Empirical Error eq div

Cslib.MachineLearning.PACLearning.empiricalError_eq_div

Plain-language statement

The empirical 0-1 error equals the empirical miscount divided by the sample size.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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