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

•

개발자 도구

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

소개

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.

주요 기능

Domain-specific tactics for analysis, topology, and measure theory
Build-first workflow for incremental proof verification using lake build
Automated, multi-stage proof repair powered by real-time compiler feedback
Advanced management of type class synthesis and instance patterns
56 GitHub stars
Deep Mathlib integration for searching and implementing 100,000+ lemmas

사용 사례

Formalizing mathematical theorems and proofs using Mathlib's extensive library
Verifying software properties and proving correctness of Lean 4 programs
Refactoring complex proofs to eliminate temporary sorry markers and custom axioms

소개

주요 기능

Domain-specific tactics for analysis, topology, and measure theory
Build-first workflow for incremental proof verification using lake build
Automated, multi-stage proof repair powered by real-time compiler feedback
Advanced management of type class synthesis and instance patterns
56 GitHub stars
Deep Mathlib integration for searching and implementing 100,000+ lemmas

사용 사례

Formalizing mathematical theorems and proofs using Mathlib's extensive library
Verifying software properties and proving correctness of Lean 4 programs
Refactoring complex proofs to eliminate temporary sorry markers and custom axioms