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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 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

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Showing 577 to 582 of 2,569 results.

Project-declaredLean 4.33.0-rc1

Concat run exists

Cslib.Automata.NA.concat_run_exists

Mathematical statement

Given an accepting finite run of na1 and a run of na2, there exists a run of concat na1 na2 that is the concatenation of the two runs.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Concat run proj

Cslib.Automata.NA.concat_run_proj

Mathematical statement

A run of concat na1 na2 containing at least one na2 state is the concatenation of an accepting finite run of na1 followed by a run of na2.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Loop language eq

Cslib.Automata.NA.FinAcc.loop_language_eq

Mathematical statement

finLoop na accepts the Kleene star of the language of na, assuming that the latter is nonempty.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

I Prod run iff

Cslib.Automata.NA.iProd_run_iff

Mathematical statement

Every run of the product automaton projects onto runs of its component automata, and vice versa.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

I Sum run iff

Cslib.Automata.NA.iSum_run_iff

Mathematical statement

An infinite run of the sum automaton is an infinite run of one of its component automata.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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