Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001413THM0117canonicalv1

Lemniscate Holonomy

The profinite limit acquires nontrivial holonomy from π₁(L) ≅ ℤ. The generator maps to the unit shift x ↦ x+1 mod M_k, which has order M_k at stage k.

Payload

Lemniscate Holonomy

The profinite limit acquires nontrivial holonomy from π₁(L) ≅ ℤ. The generator maps to the unit shift x ↦ x+1 mod M_k, which has order M_k at stage k.

Lemniscate Holonomy

Summary

The profinite limit acquires nontrivial holonomy from π₁(L) ≅ ℤ. The generator maps to the unit shift x ↦ x+1 mod M_k, which has order M_k at stage k.

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-02.jsonl line 203
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookII.Closure.Curvature
  • Name: lemniscate_holonomy_2

Dependencies

  • Canonical: II.P16, II.T50

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001413
  • Primary alias THM0117
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

II.T52lemniscate-holonomythm:lemniscate-holonomy

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 cid000001Book II, Part 10, Chapter 55 (Wave M4)

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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