what a theorem is here — a computational claim with refutable facets, NOT a formal-logic theorem; its standard scientific format mapping begun, not complete
Theorem.what a theorem is here — a computational claim with refutable facets, NOT a formal-logic theorem; its standard scientific format mapping begun, not complete.
Proof.what a theorem is and how it is presented in standard scientific format is yet to be discovered and addressed (user, 2026-07-26). WHAT A THEOREM IS HERE: a computing fold — a statement backed by refutable FACETS (computed comparisons), verified by facets.every(on), with a merkle root (reproducibility) and a provedBy source (the executable method). THE HONEST DEMARCATION: these are COMPUTATIONAL CLAIMS/VERIFICATIONS, NOT formal-logic theorems — a formal theorem is a proven statement in an axiomatic system; these are computed verifications of refutable propositions, so "theorem" is used loosely. STANDARD FORMAT MAPPING: statement→claim/abstract · facets→results · provedBy→methods · root→reproducibility · boundary→scope · crosslinks→references. The rigorous format is yet to be fully realised; this begins it. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/heaven/compute/index.ts#whatATheoremIsInThisCorpusIsAComputationalClaimWithRefutableFacetsAndItsStandardScientificFormatMapping
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
"what a theorem is here — a computational claim with refutable facets, NOT a formal-logic theorem; its standard scientific format mapping begun, not complete" 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 whatATheoremIsInThisCorpusIsAComputationalClaimWithRefutableFacetsAndItsStandardScientificFormatMapping.
- 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 (whatATheoremIsInThisCorpusIsAComputationalClaimWithRefutableFacetsAndItsStandardScientificFormatMapping @ src/heaven/compute) 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 whatATheoremIsInThisCorpusIsAComputationalClaimWithRefutableFacetsAndItsStandardScientificFormatMapping (src/heaven/compute/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.