rosters derive or ledger — a hand-list inside a fold is the hardcoded-value crack one level up
Theorem.rosters derive or ledger — a hand-list inside a fold is the hardcoded-value crack one level up — |handListed(src)| ≤ baseline, monotone non-increasing; exempt(roster) ⇔ module-level ledger ∨ (computed entries ∧ enclosing fold ∈ provers(registry)) — arguments belong to theorems.
Proof.an agent typing an array of object literals INSIDE a fold body asserts data the corpus could derive; the distinction is structural and checkable — a module-level export const IS the ledger (the source of truth, legitimate) while an array built in a function body duplicates what a map or filter over a source would compute, and an entry carrying a computed field (a call, a comparison, an `on:` boolean) is an ARGUMENT — but arguments belong to THEOREMS, so that exemption holds only inside a fold the registry proves (the exemption is earned by theoremhood, never granted by shape); measured under that rule the class is 1923 argument-lists sitting in folds the registry does not yet prove — each either a theorem waiting to be registered or a hand-list waiting to derive; the class and rides the repo’s own MONOTONE RATCHET — the count may fall, never rise, so no future agent can add a hand-list while the existing class drains.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/pair/enforcement/gates/strict/scan/index.ts#rostersDeriveOrLedger
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
"rosters derive or ledger — a hand-list inside a fold is the hardcoded-value crack one level up" 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 rostersDeriveOrLedger.
- 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 (rostersDeriveOrLedger @ src/pair/enforcement/gates/strict/scan) 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 rostersDeriveOrLedger (src/pair/enforcement/gates/strict/scan/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.