AI System Formalizes 500-Page Graduate Textbook to Lean in One Week Using 30,000 Agents

TLDR

Researchers achieved a landmark in automated formal mathematics by using 30,000 Claude 4.5 Opus agents working in parallel to formalize a complete graduate-level algebraic combinatorics textbook exceeding 500 pages into 130,000 lines of verified Lean code in just one week.

The researchers have made their codebase and resulting Lean library openly available, demonstrating the feasibility of massive multi-agent software engineering for practical results.

Key Takeaways

• Researchers deployed 30,000 Claude 4
• 5 Opus agents to automatically formalize a graduate-level algebraic combinatorics textbook into 130,000 lines of verified Lean code