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
- Proof Development: Use Lean 4 syntax with Mathlib4 conventions
- Tactic Application: Apply tactics systematically (intro, apply, exact, rw)
- Library Navigation: Search Mathlib4 for existing lemmas and theorems
- Proof Completion: Fill sorry placeholders incrementally
Tools/Libraries
- Lean 4
- Mathlib4
- Lake build system
- VS Code Lean extension