Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001671THM0214canonicalv1

Tower Finite Decidable

All three conjectures have defined gap types, forbidden moves, and scope labels. Finite τ-effective, infinite conjectural.

Payload

Tower Finite Decidable

All three conjectures have defined gap types, forbidden moves, and scope labels. Finite τ-effective, infinite conjectural.

Tower Finite Decidable

Summary

All three conjectures have defined gap types, forbidden moves, and scope labels. Finite τ-effective, infinite conjectural.

Statement

\label{thm:tower-decidable}
All three conjectures have defined gap types, forbidden moves, and
scope labels.  Finite-level results are $\tau$-effective; infinite
claims are conjectural.

\textbf{Lean:} \texttt{tower\_finite\_decidable}.\quad
\textbf{Registry:} III.T79.

Proof / Justification

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

Source Context

  • Registry source: book-03.jsonl line 286
  • Manuscript source: 2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.tex lines 432-439

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Bridge.ConjectureGaps
  • Name: tower_finite_decidable

Dependencies

  • Canonical: III.D111, III.D112

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001671
  • Primary alias THM0214
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.T79tower-finite-decidablethm:tower-decidable

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 R1)

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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