THM0056canonicalv1NF Confluence / Church-Rosser for tau-kernel (Hinge 7)
The tau-kernel rewriting system (Code, ->_NF) is confluent (Church-Rosser): for every c in Code and every pair c ->* c_1, c ->* c_2, there exists a common reduct c' with c_1 ->* c' and c_2 ->* c'. Diamond property; every teq-class has unique NF representative. Proved via strong normalisation + local confluence + Newman's Lemma. THIS DISCHARGES the 'modulo Hinge 7 NF confluence' scope caveats of Hinge 5 Thm 1.8 (pre-Yoneda collapse) and Hinge 6 Thm 1.1 (topos structure) + Thm 1.3 (circularity resolution). Source: Hinge 7 section-03 Thm 3.x.
Payload
NF Confluence / Church-Rosser for tau-kernel (Hinge 7)
The tau-kernel rewriting system (Code, ->_NF) is confluent (Church-Rosser): for every c in Code and every pair c ->* c_1, c ->* c_2, there exists a common reduct c’ with c_1 ->* c’ and c_2 ->* c’. Diamond property; every teq-class has unique NF representative. Proved via strong normalisation + local confluence + Newman’s Lemma. THIS DISCHARGES the ‘modulo Hinge 7 NF confluence’ scope caveats of Hinge 5 Thm 1.8 (pre-Yoneda collapse) and Hinge 6 Thm 1.1 (topos structure) + Thm 1.3 (circularity resolution). Source: Hinge 7 section-03 Thm 3.x.
NF Confluence / Church-Rosser for tau-kernel (Hinge 7)
Summary
The tau-kernel rewriting system (Code, ->_NF) is confluent (Church-Rosser): for every c in Code and every pair c ->* c_1, c ->* c_2, there exists a common reduct c’ with c_1 ->* c’ and c_2 ->* c’. Diamond property; every teq-class has unique NF representative. Proved via strong normalisation + local confluence + Newman’s Lemma. THIS DISCHARGES the ‘modulo Hinge 7 NF confluence’ scope caveats of Hinge 5 Thm 1.8 (pre-Yoneda collapse) and Hinge 6 Thm 1.1 (topos structure) + Thm 1.3 (circularity resolution). Source: Hinge 7 section-03 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.jsonlline 256 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
planned - Module:
TauLib.BookI.Addressability.Confluence - Name:
None
Dependencies
- Canonical: I.T53
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.T54nf-confluence-church-rosser-for-tau-kernel-hinge-7thm:main-confluenceRelease lines
corpus_v3_workingcorpus_v2Relations
Appears in (1)
Sources
Version & History
Status disclaimer
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