THM0060canonicalv1Address Resolution and Absence of Equations (Hinge 7)
Every tau-native equality question a = b reduces to a finite-witness decidable NF comparison NF(a) == NF(b); decidable in polynomial depth. Consequently, Category tau has NO equations in the classical sense: only codes, canonical addresses, and the NF-resolution procedure. Classical equational view emerges as extensional shadow via faithful-but-not-full functor Shad: Cat_tau -> Eq-Alg. Fullness is blocked by DD1-DD4 diagonal discipline (Hinge 5). Source: Hinge 7 section-08-address-resolution.
Payload
Address Resolution and Absence of Equations (Hinge 7)
Every tau-native equality question a = b reduces to a finite-witness decidable NF comparison NF(a) == NF(b); decidable in polynomial depth. Consequently, Category tau has NO equations in the classical sense: only codes, canonical addresses, and the NF-resolution procedure. Classical equational view emerges as extensional shadow via faithful-but-not-full functor Shad: Cat_tau -> Eq-Alg. Fullness is blocked by DD1-DD4 diagonal discipline (Hinge 5). Source: Hinge 7 section-08-address-resolution.
Address Resolution and Absence of Equations (Hinge 7)
Summary
Every tau-native equality question a = b reduces to a finite-witness decidable NF comparison NF(a) == NF(b); decidable in polynomial depth. Consequently, Category tau has NO equations in the classical sense: only codes, canonical addresses, and the NF-resolution procedure. Classical equational view emerges as extensional shadow via faithful-but-not-full functor Shad: Cat_tau -> Eq-Alg. Fullness is blocked by DD1-DD4 diagonal discipline (Hinge 5). Source: Hinge 7 section-08-address-resolution.
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 260 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
planned - Module:
TauLib.BookI.Addressability.AddressResolution - Name:
None
Dependencies
- Canonical: I.T53, I.T54, I.T55
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.T58address-resolution-and-absence-of-equations-hinge-7thm:main-address-resolutionRelease lines
corpus_v3_workingcorpus_v2Relations
Appears in (1)
Sources
Version & History
Status disclaimer
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