PRP0062canonicalv1Holonomy Triviality
At each finite stage, the holonomy group of the flat connection is trivial. Z/M_k Z is simply connected as a discrete set, so all loops are contractible. The profinite limit may acquire nontrivial holonomy from π₁(L) = Z.
Payload
Holonomy Triviality
At each finite stage, the holonomy group of the flat connection is trivial. Z/M_k Z is simply connected as a discrete set, so all loops are contractible. The profinite limit may acquire nontrivial holonomy from π₁(L) = Z.
Holonomy Triviality
Summary
At each finite stage, the holonomy group of the flat connection is trivial. Z/M_k Z is simply connected as a discrete set, so all loops are contractible. The profinite limit may acquire nontrivial holonomy from π₁(L) = Z.
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 198 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.Closure.Connection - Name:
holonomy_trivial_2
Dependencies
- Canonical: II.D78, II.D79, II.T50
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.P16holonomy-trivialityprop:holonomy-trivialityRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (2)
Appears in (1)
Downstream uses (computed) (4)
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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