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. Libr…