THM0052canonicalv1Fundamental Theorem of Internal Galois Theory
Every unit of Z/M_k Z generates a valid ring automorphism preserving both addition and multiplication. This gives a bijection between units and automorphisms, the τ-internal Galois correspondence.
Payload
Fundamental Theorem of Internal Galois Theory
Every unit of Z/M_k Z generates a valid ring automorphism preserving both addition and multiplication. This gives a bijection between units and automorphisms, the τ-internal Galois correspondence.
Fundamental Theorem of Internal Galois Theory
Summary
Every unit of Z/M_k Z generates a valid ring automorphism preserving both addition and multiplication. This gives a bijection between units and automorphisms, the τ-internal Galois correspondence.
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.jsonlline 225 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Boundary.Galois - Name:
galois_fundamental_2
Dependencies
- Canonical: I.D97, I.D98, I.D88
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
I.T50fundamental-theorem-of-internal-galois-theorythm:galois-fundamentalRelease lines
corpus_v3_workingcorpus_v2Relations
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
Version & History
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.