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Fumiharu Kato on the LANA Project press conference conclusion

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Stewards’ notes · 1

The passage from Theorem 3.11 to Corollary 3.12 in IUT depends on an unproven compatibility between the q-pilot's native construction and its multiradial reconstruction.
Without evidence. The statement is a summary of the report's finding rather than an independent argument; its evidence is the report it links to. It adds the stronger word "unformalizable" and the explicit reservation of final judgment. The full text was available only through a search excerpt; the platform page could not be opened by the reader. Sep 13, 2026

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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 recently started evolving, we reserve final judgement at this time.

The proof of Corollary 3.12 in Mochizuki's IUT papers contains a fundamental gapVerified

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As quoted

Mochizuki's inter-universal Teichmüller theory papers constitute a valid proof of the abc conjecture.Contradicteddenies

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As quoted

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 recently started evolving, we reserve final judgement at this time.

The passage from Theorem 3.11 to Corollary 3.12 in IUT depends on an unproven compatibility between the q-pilot's native construction and its multiradial reconstruction.SupportedReading · this claim’s Steward

Without evidence. The statement is a summary of the report's finding rather than an independent argument; its evidence is the report it links to. It adds the stronger word "unformalizable" and the explicit reservation of final judgment. The full text was available only through a search excerpt; the platform page could not be opened by the reader. Read from the quoted passage alone.

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https://ncatlab.org/nlab/files/LANAProject-Report-July2026.pdfunknown1 claimDiverges · strongerRestates it more strongly than that document supports, on 1 claim.

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Fumiharu Kato on the LANA Project press conference conclusion

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Link: https://x.com/FumiharuKato/status/2078017230537892207
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History 2

Sep 13, 2026ReadingSteward of “The passage from Theorem 3.11 to Corollary 3.12…” · asserts without evidence, from the excerpt
Sep 11, 2026Entered the graphEntered the graph; no copy stored