THM0195canonicalv1Topological Faithfulness
Topo_tr preserves tower structure: cylinders map to open balls, restriction maps are continuous. Fiber over x at stage k has exactly p_{k+1} preimages at stage k+1. Verified at bound 6, depth 2.
Payload
Topological Faithfulness
Topo_tr preserves tower structure: cylinders map to open balls, restriction maps are continuous. Fiber over x at stage k has exactly p_{k+1} preimages at stage k+1. Verified at bound 6, depth 2.
Topological Faithfulness
Summary
Topo_tr preserves tower structure: cylinders map to open balls, restriction maps are continuous. Fiber over x at stage k has exactly p_{k+1} preimages at stage k+1. Verified at bound 6, depth 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-03.jsonlline 232 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Bridge.TranslationTopo - Name:
topo_faithful_6_2
Dependencies
- Canonical: III.D89, III.D90
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.T60topological-faithfulnessthm:topo-faithfulRelease 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.