lean-proof-assistant

Interface with Lean 4 proof assistant for formal theorem verification

509 stars

Best use case

lean-proof-assistant is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

Interface with Lean 4 proof assistant for formal theorem verification

Teams using lean-proof-assistant should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

You only need a quick one-off answer and do not need a reusable workflow.
You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/lean-proof-assistant/SKILL.md --create-dirs "https://raw.githubusercontent.com/a5c-ai/babysitter/main/library/specializations/domains/science/mathematics/skills/lean-proof-assistant/SKILL.md"

Manual Installation

Download SKILL.md from GitHub
Place it in .claude/skills/lean-proof-assistant/SKILL.md inside your project
Restart your AI agent — it will auto-discover the skill

How lean-proof-assistant Compares

Feature / Agent	lean-proof-assistant	Standard Approach
Platform Support	Not specified	Limited / Varies
Context Awareness	High	Baseline
Installation Complexity	Unknown	N/A

Frequently Asked Questions

What does this skill do?

Interface with Lean 4 proof assistant for formal theorem verification

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# Lean Proof Assistant

## Purpose

Provides expert guidance on using the Lean 4 proof assistant for formal theorem verification and mathematical formalization.

## Capabilities

- Parse informal proofs into Lean 4 syntax
- Generate tactic-based proof scripts
- Access Mathlib4 library for standard results
- Automated term rewriting and simplification
- Generate proof outlines with sorry placeholders
- Extract executable code from proofs

## Usage Guidelines

1. **Proof Development**: Use Lean 4 syntax with Mathlib4 conventions
2. **Tactic Application**: Apply tactics systematically (intro, apply, exact, rw)
3. **Library Navigation**: Search Mathlib4 for existing lemmas and theorems
4. **Proof Completion**: Fill sorry placeholders incrementally

## Tools/Libraries

- Lean 4
- Mathlib4
- Lake build system
- VS Code Lean extension