THM0212canonicalv1Squarefree Dominance
Squarefree dominance: c ≤ rad(abc) for all squarefree coprime pairs up to 100. Stronger than ABC (ε=0).
Payload
Squarefree Dominance
Squarefree dominance: c ≤ rad(abc) for all squarefree coprime pairs up to 100. Stronger than ABC (ε=0).
Squarefree Dominance
Summary
Squarefree dominance: c ≤ rad(abc) for all squarefree coprime pairs up to 100. Stronger than ABC (ε=0).
Statement
\label{thm:squarefree-dominance}
For all squarefree coprime pairs $(a, b)$ with $a, b \le 100$:
$c \le \mathrm{rad}(abc)$. Zero high-quality triples among squarefree
coprimes.
\textbf{Lean:} \texttt{squarefree\_dominance\_100},
\texttt{squarefree\_dominance\_thm}.\quad
\textbf{Registry:} III.T77.\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 279 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.texlines 354-363
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Arithmetic.ABCDeep - Name:
squarefree_dominance_100
Dependencies
- Canonical: III.D110
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.T77squarefree-dominancethm:squarefree-dominanceRelease 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
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