Gap in Mochizuki's proof of ABC confirmed by Lean
A formalization project led by Bungen Kato has concluded that a critical argument in Shinichi Mochizuki's Inter-universal Teichmüller (IUT) theory is currently unformalizable. While the project identifies a gap in the proof of the ABC conjecture, researchers are keeping an open mind as Mochizuki continues to provide new explanations.
Fumiharu Kato 加藤文元（Bungen） on X: "In today's press conference, we explained our efforts over the last two years which resulted in the following conclusion: The way the argument from Theorem 3.11 to Corollary 3.12 is written in the IUT papers is unformalizable. But since Mochizuki's explanation of this point has" / X
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