lean-proof-assistant

# 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