THM0192canonicalv1Operational Closure Theorem
Every E₂-admissible operation (code-decode cycle) stays within E₂: the output is a valid reduce-stable carrier element. Computational analog of holomorphic closure. Verified at bound 8, depth 3.
Payload
Operational Closure Theorem
Every E₂-admissible operation (code-decode cycle) stays within E₂: the output is a valid reduce-stable carrier element. Computational analog of holomorphic closure. Verified at bound 8, depth 3.
Operational Closure Theorem
Summary
Every E₂-admissible operation (code-decode cycle) stays within E₂: the output is a valid reduce-stable carrier element. Computational analog of holomorphic closure. Verified at bound 8, depth 3.
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-03.jsonlline 220 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Computation.E2Witness - Name:
operational_closure_8_3
Dependencies
- Canonical: III.D83, III.D84
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.T57operational-closure-theoremthm:operational-closureRelease 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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