THM0118canonicalv1Cauchy-Schwarz Inequality
Cauchy-Schwarz inequality |⟨f,g⟩|² ≤ ‖f‖²·‖g‖². Verified exhaustively for indicator basis functions at stages 1-2.
Payload
Cauchy-Schwarz Inequality
| Cauchy-Schwarz inequality | ⟨f,g⟩ | ² ≤ ‖f‖²·‖g‖². Verified exhaustively for indicator basis functions at stages 1-2. |
Cauchy-Schwarz Inequality
Summary
| Cauchy-Schwarz inequality | ⟨f,g⟩ | ² ≤ ‖f‖²·‖g‖². Verified exhaustively for indicator basis functions 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 206 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.Hartogs.L2Space - Name:
cauchy_schwarz_stage2
Dependencies
- Canonical: II.D82, II.D83
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.T53cauchy-schwarz-inequalitythm:cauchy-schwarzRelease 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.