prove

Formalize mathematical statements and generate machine-verified proofs using Lean 4.

8|1|Updated Jan 4, 2026
One-click install
npx skills add https://github.com/scooter-lacroix/Maestro --skill prove
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: prove
Source: https://github.com/scooter-lacroix/Maestro/tree/main/maestro/skills/meta/prove
Command: npx skills add https://github.com/scooter-lacroix/Maestro --skill prove

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill enables mathematicians to formalize and verify mathematical theorems using Lean 4 without needing to learn its complex syntax, bridging the gap between mathematical intuition and rigorous machine verification.

Core Features & Use Cases

  • Automated Formalization: Converts mathematical statements into verifiable Lean 4 proofs.
  • 5-Phase Workflow: Guides users through Research, Design, Test, Implement, and Verify stages.
  • Tool Integration: Leverages Loogle, WebSearch, and AI assistants for proof strategy and lemma discovery.
  • Use Case: A mathematician wants to formally prove the statement of the Intermediate Value Theorem. They can use this skill to guide the process from initial research to a machine-verified proof, ensuring correctness.

Quick Start

Use the prove skill to formalize and verify the statement that every group homomorphism preserves identity.

Frequently Asked Questions about prove

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I formalize mathematical theorems in Lean 4 without learning its syntax?

You can formalize theorems by using an automated 5-phase workflow that converts mathematical statements into verifiable Lean 4 proofs, bridging mathematical intuition and machine verification without requiring deep expertise.

What is the best way to generate machine-verified proofs for mathematics?

Generating machine-verified proofs is best achieved through a structured process of research, design, testing, implementation, and verification that automates formalization and integrates tools like Loogle for lemma discovery.

How does automated theorem proving handle proof strategy and lemma discovery?

Automated theorem proving handles proof strategy by leveraging tool integration with Loogle, WebSearch, and AI assistants to discover relevant lemmas and guide the formalization of mathematical statements effectively.

Can I use this to formally prove the Intermediate Value Theorem?

Yes, you can formally prove the Intermediate Value Theorem by following the guided workflow from initial research to a final machine-verified proof, ensuring rigorous mathematical validation and correctness.

Do I need prior formalization expertise to verify mathematical statements with Lean 4?

No, you do not need prior formalization expertise, because this approach addresses the need for rigorous mathematical validation by automating the formalization of statements and generating machine-verified proofs.

What are the limitations of automating formal theorem proving for mathematics?

Automating formal theorem proving requires a structured 5-phase workflow including research, design, testing, implementation, and verification, meaning user intervention is still necessary to guide the proof strategy.