{"id": "c991", "title": "C991 — Allocation triangle", "filename": "C991.md", "role": "Research action", "step": 991, "sha256": "0d90a5a869284a1db03d247a778cb2d2ca6da1ca4f29aceaeab14243c0ce3603", "bytes": 894, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C991"], "download": "/sources/0d90a5a869284a1db03d247a778cb2d2ca6da1ca4f29aceaeab14243c0ce3603.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do the three relative Key gains form one nested-selection law?", "content": "# C991 — Allocation triangle\n\n## Question\n\nDo the three relative Key gains form one nested-selection law?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C985–C990\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:53:30.018809+00:00\n\n## Results\n\n```json\n{\n  \"E_to_P\": \"1/6\",\n  \"P_to_J\": \"3/13\",\n  \"E_to_J\": \"1/26\",\n  \"nested_factor\": \"300/299\"\n}\n```\n\n## Finding\n\nThe fractions1/6,3/13 and1/26 satisfy the nested-selection product law. The derived3/13 alone supplies no source-appointed chronological cut.\n\n## Reassessment\n\nSeparate this selection composition from sequential application of Keys.\n\n## Checks\n\n```json\n{\n  \"product\": true,\n  \"fractions\": true,\n  \"nested\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:53:30.019141+00:00\n\n## Record provenance\n\nExact record hash: `d3859ee65e2e01ec3ebe9099894e72e315b8591e00258c5b33308e3f9606d8d7`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}