Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001653THM0196canonicalv1

Translation Failure Boundary

Translations Arith_tr and Topo_tr are faithful EXACTLY on the complement of the 5 forbidden moves. Failure boundary is sharp: translation works perfectly in the safe region, degenerates at forbidden operations.

Payload

Translation Failure Boundary

Translations Arith_tr and Topo_tr are faithful EXACTLY on the complement of the 5 forbidden moves. Failure boundary is sharp: translation works perfectly in the safe region, degenerates at forbidden operations.

Translation Failure Boundary

Summary

Translations Arith_tr and Topo_tr are faithful EXACTLY on the complement of the 5 forbidden moves. Failure boundary is sharp: translation works perfectly in the safe region, degenerates at forbidden operations.

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 236
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Bridge.TranslationObstruction
  • Name: translation_boundary_8_3

Dependencies

  • Canonical: III.D91, III.D92, III.P36, III.P37

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001653
  • Primary alias THM0196
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.T61translation-failure-boundarythm:translation-failure-boundary

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

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 M7)

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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