What mathematical domains does it support?

It is highly effective for domains requiring formal rigor, such as convergence guarantees, optimization properties, regret bounds, and estimator consistency.

What is the Aristotle Prover skill for Claude Code?

It is a specialized extension that allows Claude Code to interface with Harmonic's Aristotle formal theorem prover to verify mathematical claims and generate Lean 4 code.

Do I need a separate API key to use this skill?

Yes, you must have the aristotlelib Python package installed and a valid ARISTOTLE_API_KEY set in your environment variables.

Can it help me fix incomplete Lean 4 files?

Absolutely. One of its primary uses is identifying 'sorry' stubs in Lean files and calling Aristotle to find formal proofs to fill them.

How does it handle false mathematical statements?

If a statement is false, the skill is designed to return a counterexample or a formal proof of negation rather than just failing.

Aristotle Formal Prover

Name: Aristotle Formal Prover
Author: ZealousEar

byZealousEar

0•

安全与测试

Translates mathematical statements into formally verified Lean 4 proofs or counterexamples using Harmonic's Aristotle API.

The Aristotle Prover skill bridges the gap between natural language mathematical reasoning and rigorous formal verification. By integrating Claude Code with Harmonic's Aristotle prover, it allows users to formalize conjectures, fill proof stubs in existing Lean 4 files, and verify algorithm correctness with high assurance. Whether you are proving convergence guarantees, checking regret bounds, or looking for counterexamples to mathematical claims, this skill provides an automated pipeline for formal mathematical discovery and verification.

主要功能

01Translates natural language math into optimal Aristotle-compatible prompts

02Automates the filling of Lean 4 'sorry' stubs in existing codebases

03Supports hybrid proofs using a mix of formal theorems and English hints

04Asynchronous polling and submission via the aristotlelib Python API

05Detects counterexamples and returns formal proofs of negation for false claims

060 GitHub stars

使用场景

01Verifying the formal correctness of algorithms and optimization methods

02Automating complex mathematical proofs for academic research and documentation

03Validating estimator properties and convergence guarantees in data science

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add zealousear/claude-skills aristotle-prover

For use in Claude.ai and ChatGPT

主要功能

01Translates natural language math into optimal Aristotle-compatible prompts

02Automates the filling of Lean 4 'sorry' stubs in existing codebases

03Supports hybrid proofs using a mix of formal theorems and English hints

04Asynchronous polling and submission via the aristotlelib Python API

05Detects counterexamples and returns formal proofs of negation for false claims

060 GitHub stars

使用场景

01Verifying the formal correctness of algorithms and optimization methods

02Automating complex mathematical proofs for academic research and documentation

03Validating estimator properties and convergence guarantees in data science

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add zealousear/claude-skills aristotle-prover

For use in Claude.ai and ChatGPT