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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 619 to 624 of 2,569 results.

Project-declaredLean 4.33.0-rc1

Tabs inv

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.tabs_inv

Mathematical statement

Invert the typing of a type abstraction.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Weaken

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.weaken

Mathematical statement

Weakening 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

Wf lemma

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.wf

Mathematical statement

Typings have well-formed contexts and types.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Progress

Cslib.LambdaCalculus.LocallyNameless.Stlc.FullBeta.progress

Mathematical statement

A typed term either full beta reduces or is a value.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Soundness

Cslib.LambdaCalculus.LocallyNameless.Stlc.soundness

Project documentation

The soundness lemma states that if a term t has type τ in context Γ, then t is semantically valid with respect to Γ and τ

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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