Corpus proposition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Proposition cid001164PRP0043canonicalv1

CRT-Galois Decomposition

The Galois group decomposes via CRT: Gal_k ≅ ∏(Z/p_i Z)× for i=1..k. Order equality φ(M_k) = ∏(p_i-1) verified computationally at stages 1-3.

Payload

CRT-Galois Decomposition

The Galois group decomposes via CRT: Gal_k ≅ ∏(Z/p_i Z)× for i=1..k. Order equality φ(M_k) = ∏(p_i-1) verified computationally at stages 1-3.

CRT-Galois Decomposition

Summary

The Galois group decomposes via CRT: Gal_k ≅ ∏(Z/p_i Z)× for i=1..k. Order equality φ(M_k) = ∏(p_i-1) verified computationally at stages 1-3.

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 226
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookI.Boundary.Galois
  • Name: galois_crt_3

Dependencies

  • Canonical: I.D98, I.T45

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001164
  • Primary alias PRP0043
  • Type Proposition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.P44crt-galois-decompositionprop:crt-galois

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 cid000023Book I, Part 18, Chapter 85 (Wave M5)

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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