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

Infinite graph ramsey

Cslib.infinite_graph_ramsey

Plain-language statement

If the edges of an infinite complete graph is assigned a finite number of colors, then there must exist a color c and an infinite set s of vertices such that the edge between any two vertices of s is assigned the same color c.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Map subst

Cslib.LambdaCalculus.LocallyNameless.Fsub.Sub.map_subst

Plain-language statement

Subtyping of substitutions.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Abs inv

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.abs_inv

Plain-language statement

Invert the typing of an abstraction.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Narrow

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.narrow

Plain-language statement

Narrowing of typings.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Typing progress

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.progress

Plain-language statement

Any typable term either has a reduction step or is a value.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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