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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2569 results

Project-declaredLean 4.24.0-rc1

Reg lang inter

reg_lang_inter

Plain-language statement

Regular languages are closed under intersection.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Reg lang union

reg_lang_union

Plain-language statement

Regular languages are closed under union.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.21.0-rc3

Codom Eq Dom iff

Rel.codomEqDom_iff'

Plain-language statement

An elementary description of the property CodomEqDom.

set theoryconsistencyfoundations

Source project: Con(NF)

Person-level attribution pending.

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Project-declaredLean 4.32.0-rc1

Relative inductive construction of loc

relative_inductive_construction_of_loc

Plain-language statement

We are given a suitably nice extended metric space X and three local constraints P₀,P₀' and P₁ on maps from X to some type Y. All maps entering the discussion are required to statisfy P₀ everywhere. The goal is to turn a map f₀ satisfying P₁ near a compact set K into one satisfying everywhere without changing f₀ near K. The assumpt...

topologydifferential geometryhomotopy

Source project: Sphere eversion

Person-level attribution pending.

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