How does it handle mathlib searches?

It uses a priority-based LSP protocol, leveraging LeanSearch, Loogle, and LeanFinder to find existing lemmas before attempting to write new tactics.

Does it support other proof assistants like Coq or Isabelle?

No, this skill is exclusively optimized for Lean 4 and mathlib workflows and will not trigger for other proof assistants.

What happens if a proof is sound but uses non-standard axioms?

The skill includes a checkpoint and review system that flags non-standard axioms and aims to eliminate them to meet mathlib quality standards.

Can this skill prove theorems automatically?

Yes, the skill provides the `/lean4:autoprove` command for autonomous multi-cycle proving and `/lean4:prove` for interactive, guided sessions.

Will it modify my theorem statements without asking?

No. Core principles mandate that theorem statements, type signatures, and docstrings are never changed without explicit user permission.

Lean 4 Theorem Proving

Name: Lean 4 Theorem Proving
Author: cameronfreer

bycameronfreer

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154

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Developer Tools

Empowers Claude to formalize mathematics, prove theorems, and navigate the Lean 4 ecosystem with specialized LSP tools and mathlib integration.

The Lean 4 Theorem Proving skill provides a comprehensive environment for formal verification and mathematical coding. It streamlines the entire workflow from turning informal mathematical claims into Lean statements to filling 'sorries' using autonomous or guided proving cycles. By integrating semantic search tools like LeanSearch and Loogle, the skill ensures that mathlib is utilized effectively before attempting new proofs. It includes automated debugging for common Lean 4 build errors, proof optimization tools to reduce verbosity, and strict quality gates to ensure all proofs are axiomatically sound and pass the Lean type checker.

Key Features

01Integrated semantic search for mathlib using LeanSearch, Loogle, and LeanFinder.

02Automated formalization of informal mathematical prose into Lean 4 definitions and statements.

03Specialized debugging for Lean build errors, including type mismatches and instance synthesis failures.

04Autonomous and guided theorem proving cycles with built-in stop conditions.

05154 GitHub stars

06Proof 'golfing' and optimization to ensure brevity and adherence to mathlib style.

Use Cases

01Automating the repair of broken proofs and navigating mathlib dependencies during project migrations.

02Learning Lean 4 concepts through interactive exploration of repositories and automated lemma suggestions.

03Formalizing complex mathematical papers or informal proofs into verified Lean 4 codebases.

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add cameronfreer/lean4-skills lean4

For use in Claude.ai and ChatGPT

Download Skill