Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001222THM0057canonicalv1

Genealogical DAG Structure (Hinge 7)

The pair DAG := (Code, ->_NF) is a countable, strongly-normalising, finite-width directed acyclic graph: acyclic via well-founded measure, SN bounded by pass budget k_0, finite-width polynomial in primorial M_k, unique root c_empty, one NF sink per teq-class. Sinks(DAG)/teq = AddrTau. Source: Hinge 7 section-05-dag.

Payload

Genealogical DAG Structure (Hinge 7)

The pair DAG := (Code, ->_NF) is a countable, strongly-normalising, finite-width directed acyclic graph: acyclic via well-founded measure, SN bounded by pass budget k_0, finite-width polynomial in primorial M_k, unique root c_empty, one NF sink per teq-class. Sinks(DAG)/teq = AddrTau. Source: Hinge 7 section-05-dag.

Genealogical DAG Structure (Hinge 7)

Summary

The pair DAG := (Code, ->_NF) is a countable, strongly-normalising, finite-width directed acyclic graph: acyclic via well-founded measure, SN bounded by pass budget k_0, finite-width polynomial in primorial M_k, unique root c_empty, one NF sink per teq-class. Sinks(DAG)/teq = AddrTau. Source: Hinge 7 section-05-dag.

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-01.jsonl line 257
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: planned
  • Module: TauLib.BookI.Addressability.GenealogicalDAG
  • Name: None

Dependencies

  • Canonical: I.T53, I.T54

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001222
  • Primary alias THM0057
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.T55genealogical-dag-structure-hinge-7thm:main-dag

Release lines

corpus_v3_workingcorpus_v2

Relations

Appears in (1)

Sources

  • Monograph cid000023Book I, Part None, Chapter None (Hinge 7)

Version & History

  • v1 · 2026-05-10 imported from v2 registry

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.

Save or share this page for inspection

Download a portable dossier, copy a reviewer note, or send this page to someone who can inspect it.

Email to expert