Corpus proposition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Proposition cid001578PRP0101canonicalv1

E₂ ⊋ E₁ Strict Witness

E₂ contains orbit structures of length > 2 that cannot be expressed as pure sector decompositions (E₁ content). E₁ orbits have length ≤ 2 from bipolar involution; E₂ orbits achieve lengths 3, 5, etc.

Payload

E₂ ⊋ E₁ Strict Witness

E₂ contains orbit structures of length > 2 that cannot be expressed as pure sector decompositions (E₁ content). E₁ orbits have length ≤ 2 from bipolar involution; E₂ orbits achieve lengths 3, 5, etc.

E₂ ⊋ E₁ Strict Witness

Summary

E₂ contains orbit structures of length > 2 that cannot be expressed as pure sector decompositions (E₁ content). E₁ orbits have length ≤ 2 from bipolar involution; E₂ orbits achieve lengths 3, 5, etc.

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 221
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Computation.E2Witness
  • Name: e2_strict_3

Dependencies

  • Canonical: III.D84, III.T57

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001578
  • Primary alias PRP0101
  • Type Proposition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.P34e-e-strict-witnessprop:e2-strict-witness

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 7, Chapter 60 (Wave M6)

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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