DEF0302canonicalv1Arithmetic Translation Functor
Functor Arith_tr maps τ-internal arithmetic to classical ℤ. At stage k, Arith_tr(x) = reduce(x, k) — the canonical embedding Z/M_k Z ↪ ℤ. Well-defined and injective at each stage.
Payload
Arithmetic Translation Functor
Functor Arith_tr maps τ-internal arithmetic to classical ℤ. At stage k, Arith_tr(x) = reduce(x, k) — the canonical embedding Z/M_k Z ↪ ℤ. Well-defined and injective at each stage.
Arithmetic Translation Functor
Summary
Functor Arith_tr maps τ-internal arithmetic to classical ℤ. At stage k, Arith_tr(x) = reduce(x, k) — the canonical embedding Z/M_k Z ↪ ℤ. Well-defined and injective at each stage.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-03.jsonlline 226 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Bridge.TranslationArith - Name:
arith_translate
Dependencies
- Canonical: III.D71, III.T40
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
III.D87arithmetic-translation-functordef:arith-translationRelease 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
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