Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001655THM0198canonicalv1

P vs NP Forbidden Triple

Three forbidden moves (succinct_circuits + exponential_quantification + unbounded_fanout) collectively break the P vs NP bridge. Internal P_adm = NP_adm cannot be translated. Verified at depth 3.

Payload

P vs NP Forbidden Triple

Three forbidden moves (succinct_circuits + exponential_quantification + unbounded_fanout) collectively break the P vs NP bridge. Internal P_adm = NP_adm cannot be translated. Verified at depth 3.

P vs NP Forbidden Triple

Summary

Three forbidden moves (succinct_circuits + exponential_quantification + unbounded_fanout) collectively break the P vs NP bridge. Internal P_adm = NP_adm cannot be translated. Verified at depth 3.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

No immediate manuscript proof block was extracted in this pilot run.

Source Context

  • Registry source: book-03.jsonl line 241
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Doors.BridgeTightening
  • Name: pvsnp_triple_3

Dependencies

  • Canonical: III.P38

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001655
  • Primary alias THM0198
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.T63p-vs-np-forbidden-triplethm:pvsnp-forbidden-triple

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (1)

Appears in (1)

Downstream uses (computed) (2)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000024Book III, Part 10, Chapter 81 (Wave M8)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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