DEF0191canonicalv1L² Norm
L² norm squared: ‖f‖²_k = ⟨f,f⟩_k. Non-negative by construction (sum of squares). Zero iff f = 0 (definiteness).
Payload
L² Norm
L² norm squared: ‖f‖²_k = ⟨f,f⟩_k. Non-negative by construction (sum of squares). Zero iff f = 0 (definiteness).
L² Norm
Summary
L² norm squared: ‖f‖²_k = ⟨f,f⟩_k. Non-negative by construction (sum of squares). Zero iff f = 0 (definiteness).
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-02.jsonlline 205 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.Hartogs.L2Space - Name:
l2_norm_sq
Dependencies
- Canonical: II.D82
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.D83l-normdef:l2-normRelease 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.