AI-Assisted Proof Confirms Optimal Packing for 11 Squares

A complete optimality proof for packing 11 squares has been verified using AI-assisted methods. The proof, which passed verification with native numerical certificates, accepted all 7,920 local Lean modules and reported zero admissions. The optimal side length is derived from a specific mathematical equation, and the construction achieves a packing efficiency of approximately 3.877. The project uses Lean 4.34.1 and a specific revision of Mathlib, with detailed instructions provided for verification on Linux and macOS systems.