THM0211canonicalv1ABC Quality 100
Weak ABC for all coprime pairs up to 100. 7× extension from bound 15.
Payload
ABC Quality 100
Weak ABC for all coprime pairs up to 100. 7× extension from bound 15.
ABC Quality 100
Summary
Weak ABC for all coprime pairs up to 100. 7× extension from bound 15.
Statement
\label{thm:abc-100}
Weak ABC holds for all coprime pairs $(a, b)$ with $a, b \le 100$.
\textbf{Lean:} \texttt{abc\_quality\_100}.\quad
\textbf{Registry:} III.T76.\quad
\textbf{Scope:} $\tau$-effective.
Proof / Justification
No immediate manuscript proof block was extracted in this pilot run.
Source Context
- Registry source:
book-03.jsonlline 278 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.texlines 328-334
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Arithmetic.ABCDeep - Name:
abc_quality_100
Dependencies
- Canonical: III.D108
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.T76abc-quality-100thm:abc-100Release 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.