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

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Project-declaredLean 4.33.0-rc1

Weaken

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.weaken

Plain-language 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

Plain-language 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

Plain-language 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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Project-declaredLean 4.33.0-rc1

Step subst cong r

Cslib.LambdaCalculus.LocallyNameless.Untyped.Term.FullEta.step_subst_cong_r

Project documentation

Multiple reduction of opening implies multiple reduction of abstraction. -/ theorem redex_abs_cong {M M' : Term Var} (xs : Finset Var) (cofin : ∀ x ∉ xs, (M ^ fvar x) ↠ηᶠ M' ^ fvar x) (lc_M : LC M.abs) : M.abs ↠ηᶠ M'.abs := by cases lc_M case abs L hL => have ⟨x, _⟩ := fresh_exists <| free_union [fv] Var rw [open_close x M 0, open_close x M' 0] all_goals...

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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