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VeryMathVeryMath/AI4Math-Lean-Agents/SKILL.md

lean-formalization

Skill9 starsChanged 4 months agoMITView on GitHub

Use when a coding agent needs Lean 4 formalization, proof repair, theorem transcription, sorry completion, Lean patch review, optional adapter-first Lean-specialist backend work, or local Lean validation.

1 other project uses a version of this.

Adopted by

Most recently taken up by

  • Other versions1 project uses a version of this.

    Word for word · 0

    None found.

    Edited · 0

    None found.

    Wrote their own version · 1

    1. LeonardSEO/ambitious-math-research★ 0same name

    How matches are found. Word for word: the exact same text. Edited: shares passages with this file (“99% same” means 99% of its five-word phrases also appear here; 10% or more counts). Their own version: similar meaning, or, weakest, the same name. We can’t tell which project had it first. Projects are counted among the 200 most-starred candidates, and mentions are links to the repository we found, up to 50 per site, so both counts are a floor.

  • In this repository5 other files it gives its agents.

The file

We split this skill into the rules it gives an agent

1 rule. About 0 are common, 1 is distinctive, and 0 are very specific to this project.

  • ≈0

    Common · estimate

    Many files like this have a rule of this kind.

  • ≈1

    Distinctive · estimate

    This author's own choices. Worth a look.

  • 0

    Very specific

    Tied to their project's names, files or tools. Probably skip.

  • Common
  • Distinctive
  • Very specific
  1. Distinctive:

    Read that concrete Skill before formalization or proof work.

    line 15

≈ “Common” is an estimate: at least 1 in 5 of the 350,495 skill files we read have a rule of the same kind, not the same words. “Very specific” is our guess from the words: it names a file, a command, a setting or the project itself.

Keep what fits and drop the rest. Your version, ready for your agents.
Files
SKILL.md

Lean Formalization

This root SKILL.md is a compatibility entrypoint for platforms that expect one top-level Skill file. The shared Skill layer lives at:

skills/lean-formalization/SKILL.md

Read that concrete Skill before formalization or proof work. Keep platform adapters thin and improve the shared Skill layer first.

Reusable scripts, prompts, examples, references, schemas, and tests live in:

skills/lean-runtime/

For setup-only tasks such as installing Lean, checking elan/lake, or creating a reusable mathlib workspace, use:

skills/lean-setup/SKILL.md

Operating Boundary

  • Preserve theorem statements unless the user approves a change.
  • Reject final patches containing sorry, admit, or newly introduced axiom.
  • Explain and approve optional backend runtime setup before executing it; use an adapter-first contract, with official Numina and Archon treated as recommended adapter candidates rather than hard requirements.
  • Validate final Lean patches locally when possible.

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