AI宣布森多夫猜想告破！陶哲轩发现它隐藏的更强结果

TL;DR - An AI-assisted, Lean-verified proof reportedly resolves the 70-year-old Sendov conjecture. Terence Tao simplified the formalization and found that it also proves the stronger Phelps–Rodriguez conjecture.

• Lech Mazur’s proof used GPT-5.6 Pro and roughly 90,000 lines of Lean 4 code.
• Tao reorganized the argument into about 15,000 Lean lines and identified stronger implications.
• The proof reduces the problem to elementary identities and inequalities involving roots and critical points.
• Degrees 5–100 use exact Bernstein-polynomial certificates checked by Lean; higher degrees are handled analytically.