Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001220THM0055canonicalv1

Canonical Normalisation (Hinge 7)

Every admissible code c in Code reduces in finitely many witness-preserving tau-kernel rewriting steps ->_NF to a unique normal form NF(c) in Code^NF. The normalisation map NF: Code -> Code^NF is idempotent, surjective, teq-preserving, bounded by pass budget k_0(c) in N. Source: Hinge 7 (address-resolution), main.tex Thm 1.1 + section-03-nf-confluence Thm 3.x.

Payload

Canonical Normalisation (Hinge 7)

Every admissible code c in Code reduces in finitely many witness-preserving tau-kernel rewriting steps ->_NF to a unique normal form NF(c) in Code^NF. The normalisation map NF: Code -> Code^NF is idempotent, surjective, teq-preserving, bounded by pass budget k_0(c) in N. Source: Hinge 7 (address-resolution), main.tex Thm 1.1 + section-03-nf-confluence Thm 3.x.

Canonical Normalisation (Hinge 7)

Summary

Every admissible code c in Code reduces in finitely many witness-preserving tau-kernel rewriting steps ->_NF to a unique normal form NF(c) in Code^NF. The normalisation map NF: Code -> Code^NF is idempotent, surjective, teq-preserving, bounded by pass budget k_0(c) in N. Source: Hinge 7 (address-resolution), main.tex Thm 1.1 + section-03-nf-confluence Thm 3.x.

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 255
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: planned
  • Module: TauLib.BookI.Addressability.Normalisation
  • Name: None

Dependencies

  • Canonical: I.T08

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001220
  • Primary alias THM0055
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.T53canonical-normalisation-hinge-7thm:main-normalisation

Release lines

corpus_v3_workingcorpus_v2

Relations

Appears in (1)

Sources

  • Monograph cid000023Book I, Part None, Chapter None (Hinge 7)

Version & History

  • v1 · 2026-05-10 imported from v2 registry

Status disclaimer

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