Corpus proposition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Proposition cid001576PRP0099canonicalv1

Bridge Algebraic Reduction

κ(C;3)²·(1−ι_τ)² = ι_τ⁶ exactly (algebraic identity). This reduces OQ.07 (confinement bridge) to OQ.09 (E₆ near-identity) by pure algebra: the (1−ι_τ)² factors cancel, leaving E₆·ι⁶ ≈ −1.

Payload

Bridge Algebraic Reduction

κ(C;3)²·(1−ι_τ)² = ι_τ⁶ exactly (algebraic identity). This reduces OQ.07 (confinement bridge) to OQ.09 (E₆ near-identity) by pure algebra: the (1−ι_τ)² factors cancel, leaving E₆·ι⁶ ≈ −1.

Bridge Algebraic Reduction

Summary

κ(C;3)²·(1−ι_τ)² = ι_τ⁶ exactly (algebraic identity). This reduces OQ.07 (confinement bridge) to OQ.09 (E₆ near-identity) by pure algebra: the (1−ι_τ)² factors cancel, leaving E₆·ι⁶ ≈ −1.

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 213
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Spectral.ConfinementBridge
  • Name: Tau.BookIII.Spectral.ConfinementBridge.bridge_algebraic_identity

Dependencies

  • Canonical: IV.D03, IV.D07

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001576
  • Primary alias PRP0099
  • Type Proposition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.P32bridge-algebraic-reductionprop:bridge-algebraic-reduction

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 3, Chapter 25 (Part III)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

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