THM0115canonicalv1Flat Connection Existence
The additive connection Γ_k(x,v) = (x+v) mod M_k is flat: parallel transport around any closed loop returns to the starting point. Verified computationally at stages 1-2.
Payload
Flat Connection Existence
The additive connection Γ_k(x,v) = (x+v) mod M_k is flat: parallel transport around any closed loop returns to the starting point. Verified computationally at stages 1-2.
Flat Connection Existence
Summary
The additive connection Γ_k(x,v) = (x+v) mod M_k is flat: parallel transport around any closed loop returns to the starting point. Verified computationally at stages 1-2.
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-02.jsonlline 197 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.Closure.Connection - Name:
flat_connection_flat_2
Dependencies
- Canonical: II.D78, II.D62
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
II.T50flat-connection-existencethm:flat-connectionRelease 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
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.