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Square Packing

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Lean proof verifies optimal packing of 11 unit squares

A formal verification project has completed a machine-checked proof in the Lean theorem prover establishing the optimal side length for packing 11 unit squares into a square container, with the exact value defined as the root of a polynomial equation. The verification run, tied to a specific pinned commit, accepted all 7,920 local Lean modules with zero admissions, using native numerical certificates for computationally expensive exact checks alongside standard Lean proofs for geometry and proof assembly.