Does it support Measure Theory and Probability?

Yes, the skill includes specific domain patterns and tactics like 'measurability' and 'positivity' specifically optimized for measure theory work.

How does this skill help with Lean 4 compilation errors?

It uses a compiler-guided repair workflow that extracts structured error data and applies a solver cascade (simp, linarith, etc.) before escalating to LLM-based fixes.

What is the 'build-first' principle?

It is a core workflow where you prioritize running 'lake build' incrementally to ensure the type checker validates every step of the proof before proceeding.

Can I use this for Mathlib contributions?

Yes, it follows Mathlib conventions for naming, imports, and tactics, including specialized search commands to find existing lemmas within the library.

Lean 4 Theorem Proving

Name: Lean 4 Theorem Proving
Author: cameronfreer

bycameronfreer

•

Security & Testing

Accelerates formal verification and mathematical proof development in Lean 4 through mathlib integration and compiler-guided repair.

This skill equips Claude with specialized knowledge for Lean 4 theorem proving, offering a robust "build-first" workflow that integrates directly with Lake and Mathlib. It provides advanced tools for resolving type class synthesis errors, managing sorry markers, and performing automated proof repair using a multi-stage solver cascade. Whether working on program verification, pure mathematics, or measure theory, the skill ensures high-quality, axiom-free results by leveraging real-time feedback from the Lean compiler and LSP server to guide the proof process.

Key Features

01Domain-specific tactics for analysis, topology, and measure theory

02Build-first workflow for incremental proof verification using lake build

03Automated, multi-stage proof repair powered by real-time compiler feedback

04Advanced management of type class synthesis and instance patterns

0556 GitHub stars

06Deep Mathlib integration for searching and implementing 100,000+ lemmas

Use Cases

01Formalizing mathematical theorems and proofs using Mathlib's extensive library

02Verifying software properties and proving correctness of Lean 4 programs

03Refactoring complex proofs to eliminate temporary sorry markers and custom axioms

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add cameronfreer/lean4-skills lean4-theorem-proving

For use in Claude.ai and ChatGPT

Download Skill