Any fixed number is a theorem or a datum
Theorem.Any fixed number is a theorem or a datum.
Proof.the crack law deepest form, already enforced: every numeric literal in src is exactly one of three — a LATTICE COMPOSITION (5-smooth Babylonian-regular lattice, a theorem of {2,3,5}), a DERIVED value (fibonacci(18) for the line ceiling, |D₁₂×C₂| for the 48 forms, Burnside for the 352/224 scale counts, Archimedes for π), or a LEDGERED DATUM (a measurement with a documented source). The lattice itself is a theorem (theoremOfTheorems). The crack gate ENFORCES this and forced ~16 replacements this session. No number is fixed: every one is a proof or a source; residue named — void {0,1}, measurements, Gödel.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#anyFixedNumberIsATheoremOrDatum
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"Any fixed number is a theorem or a datum" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation anyFixedNumberIsATheoremOrDatum.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (anyFixedNumberIsATheoremOrDatum @ src/4/6) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes anyFixedNumberIsATheoremOrDatum (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.