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lean-check

Formalize mathematical statements in Lean 4 and verify them with lake build.

127|22|Updated Feb 20, 2026
Search Tags:#formal verification#mathlib#theorem proving#Lean 4#mathematical proof
One-click install
npx skills add https://github.com/flonat/flonat-research --skill lean-check
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: lean-check
Source: https://github.com/flonat/flonat-research/tree/main/skills/lean-check
Command: npx skills add https://github.com/flonat/flonat-research --skill lean-check

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires lean, mathlib, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides a rigorous method for machine-verifying mathematical lemmas and theorems by formalizing them in Lean 4 + mathlib and running lake build.

Core Features & Use Cases

  • Machine Verification: Automatically verify the correctness of mathematical statements.
  • Lean 4 + mathlib: Works with the Lean 4 theorem prover and the mathlib library.
  • Use Case: When you have a lemma or theorem you want to be absolutely certain is correct, you can use this Skill to formalize it in Lean and run lake build to machine-check it.

Quick Start

Use the lean-check skill to formalize and machine-check the statement "If a number is even, its square is even."

Frequently Asked Questions about lean-check

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

FAQPage Schema
How do I machine-verify a mathematical theorem using Lean 4?▼

To machine-verify a theorem, formalize the mathematical statement in Lean 4 and mathlib, then run `lake build` to execute the strict proof check. This verifies correctness for academic research and software development.

What is formal verification of mathematical lemmas in Lean?▼

Formal verification in Lean is the process of translating lemmas into a formal language to mechanically check validity. This provides absolute certainty of correctness for mathematical proofs.

Do I need Lean 4 and mathlib installed to use formal verification?▼

Yes, formal verification requires both Lean 4 and mathlib installed on your system. These dependencies are necessary to formalize statements and execute `lake build` for machine checking.

How do I formalize and check a self-authored lemma in Lean?▼

To check a self-authored lemma, translate the mathematical statement into Lean 4 syntax using mathlib definitions, then execute `lake build` to run the automated machine verification process.

Can I use this approach for theorem proving in software development?▼

Yes, you can use theorem proving in software development to rigorously verify mathematical statements. Formalizing logic in Lean 4 and running `lake build` ensures critical algorithms are mathematically correct.

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