DEF0043canonicalv1CRT Decomposition
CRT decomposition and reconstruction on the primorial ladder: forward map x -> (x mod p_i), inverse map via coprime idempotents e_i, round-trip verified exhaustively by native_decide. Basis elements are idempotent, orthogonal, sum to unity. CRT coherence with primorial reduction verified.
Payload
CRT Decomposition
CRT decomposition and reconstruction on the primorial ladder: forward map x -> (x mod p_i), inverse map via coprime idempotents e_i, round-trip verified exhaustively by native_decide. Basis elements are idempotent, orthogonal, sum to unity. CRT coherence with primorial reduction verified.
CRT Decomposition
Summary
CRT decomposition and reconstruction on the primorial ladder: forward map x -> (x mod p_i), inverse map via coprime idempotents e_i, round-trip verified exhaustively by native_decide. Basis elements are idempotent, orthogonal, sum to unity. CRT coherence with primorial reduction verified.
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-01.jsonlline 70 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Polarity.ChineseRemainder - Name:
Tau.Polarity.crt_decompose
Dependencies
- Canonical: I.D25, I.D28
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.D29crt-decompositionsubsec:ch30-crtRelease lines
corpus_v3_workingcorpus_v2Relations
Appears in (1)
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.