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D-02

The diagonalization of direction D-1 goes through relative to every oracle, so by Baker–Gill–Solovay it could never have settled the question either way

Full claim & scope

The diagonalization of direction D-1 goes through relative to every oracle, so by Baker–Gill–Solovay it could never have settled the question either way. D-1 is closed on this, and the record exists so no later iteration spends its budget rediscovering it.

Kind
intermediate result
Promoted by
NOETHER
Recorded
2026-09-22 10:26:30 UTC
Rests on
H-014, H-008

Open the iteration that produced itP versus NP

Verification

No Lean verification record.

This result has not been through the Lean kernel. Whatever else has been said about it, it is not formally verified.

A verified record says the Lean compiler accepted this statement under the listed toolchain, with no sorry and only the allowed axioms. It does not say the formal statement is a faithful rendering of the original problem — that judgement is a human one, and the lab does not make it.