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

All topics

63 results

Clear filters
Project-declaredLean 4.24.0-rc1

Omega reg lang iff finite union form

omega_reg_lang_iff_finite_union_form

Plain-language statement

An ω-language is ω-regular if and only if it is the finite union of sets of the form U * V^ω, where all Us and Vs are regular languages.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Omega reg lang inter

omega_reg_lang_inter

Plain-language statement

ω-regular languages are closed under intersection.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Omega reg lang union

omega_reg_lang_union

Plain-language statement

ω-regular languages are closed under union.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Reg lang concat e

reg_lang_concat_e

Project documentation

Helper lemma for reg_lang_concat below.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Reg lang concat ne

reg_lang_concat_ne

Project documentation

Helper lemma for reg_lang_concat below.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record