PRP0064canonicalv1L² Completeness
L² space at each finite stage is automatically complete (finite-dimensional). Tower compatibility ensures the inverse system of L² spaces is coherent.
Payload
L² Completeness
L² space at each finite stage is automatically complete (finite-dimensional). Tower compatibility ensures the inverse system of L² spaces is coherent.
L² Completeness
Summary
L² space at each finite stage is automatically complete (finite-dimensional). Tower compatibility ensures the inverse system of L² spaces is coherent.
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 207 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.Hartogs.L2Space - Name:
l2_completeness_2
Dependencies
- Canonical: II.D83, II.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
II.P18l-completenessprop:l2-completenessRelease 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
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.