lean-proof-assistant

name	lean-proof-assistant
description	Interface with Lean 4 proof assistant for formal theorem verification
allowed-tools	["Bash","Read","Write","Edit","Glob","Grep"]
metadata	{"specialization":"mathematics","domain":"science","category":"theorem-proving","phase":6}
graph	{"domains":["domain:mathematics"],"specializations":["specialization:computational-mathematics"],"skillAreas":["skill-area:mathematical-reasoning","skill-area:compiler-implementation","skill-area:language-design"],"workflows":["workflow:experiment-design"],"roles":["role:computational-scientist","role:research-scientist"]}

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