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A formalization of Chang, Liu, and Liu's proof of Chvátal's conjecture

Boon Suan Ho

Palomar Registrypalomar/PALOMAR-2026-09-17-000004Sep 17, 2026math.COscore 0

A Lean 4 + mathlib formalization of Fan Chang, Hong Liu, and Miao Liu's paper "A proof of Chvátal's conjecture via a sharp correlation inequality" (arXiv:2609.19123v1). It formalizes their star theorem for hereditary set families, sharp Boolean Fourier correlation inequality, antipodal corollary, sharpness results, and weighted strengthening. The formalization was completely prepared by GPT-6.

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