THM0210canonicalv1CRT Admissible Positive
Twin-admissible residues positive at depths 1-4. Nonempty at every primorial level.
Payload
CRT Admissible Positive
Twin-admissible residues positive at depths 1-4. Nonempty at every primorial level.
CRT Admissible Positive
Summary
Twin-admissible residues positive at depths 1-4. Nonempty at every primorial level.
Statement
\label{thm:crt-admissible-pos}
At each depth $k = 1, \ldots, 4$, the set of twin-admissible residues
is nonempty.
\textbf{Lean:} \texttt{crt\_admissible\_positive\_4}.\quad
\textbf{Registry:} III.T75.
Proof / Justification
No immediate manuscript proof block was extracted in this pilot run.
Source Context
- Registry source:
book-03.jsonlline 272 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.texlines 286-292
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Spectral.TwinPrimeDeep - Name:
crt_admissible_positive_4
Dependencies
- Canonical: III.D107
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.T75crt-admissible-positivethm:crt-admissible-posRelease 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.