Lean formalization breaks 2HDM stability theorem

This is a niche physics result with a much bigger tooling story: formal methods are starting to audit research papers, not just software. For AI and developer audiences, the interesting part is less the Higgs math than the proof that machine-checked reasoning can surface mistakes humans missed for two decades.

• –Lean is the real story here because the paper frames formalization as the mechanism that revealed the flaw, not just a nicer way to present the proof
• –The result strengthens the case for theorem provers as serious research infrastructure, especially in mathematically dense fields where review often stops short of full verification
• –PhysLib and Mathlib look more valuable when they move from pedagogy and toy examples into literature-checking work with publishable consequences