The theorems decide the addresses
Theorem.The theorems decide the addresses.
Proof.placement is mathematics: an address is legal when the fold proves it as a computed facet (the fixed point lives at 5/5); measured across the registry, 9 of 176 station atoms already prove their home and 167 are open relocation rows — the refactoring program is the list, one move-or-prove per wave.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#theoremsDecideAddresses
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
"The theorems decide the addresses" 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 theoremsDecideAddresses.
- 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 (theoremsDecideAddresses @ 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 theoremsDecideAddresses (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.