{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R312",
  "content_hash": null,
  "slug": "fib-formalization-conjecture-draft",
  "type": "formalization",
  "title": "Draft Lean determinant-range statement",
  "summary": "A proposed formal statement says that the determinant of fibSumMatrix n equals -1, 0, or 1 for every n.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-formalization-conjecture-draft (“Draft Lean determinant-range statement”) states a machine-checkable theorem or proof obligation. The record states: A proposed formal statement says that the determinant of fibSumMatrix n equals -1, 0, or 1 for every n.",
  "relevance_source": "recorded",
  "body": "The correspondence is clear at the prose level and awaits an elaborating definition of IsFibonacci and the matrix.",
  "status": "draft",
  "evidence_grade": "unverified_formalization",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "partial",
    "kind": "formalization",
    "runtime": "lean-4.33.0-rc1/mathlib4@4608056c77c5",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "theoremdb mixed-memory fixture"
    },
    "missing": [
      "source",
      "command",
      "expected_output"
    ]
  },
  "formal_statement": "theorem fibSumMatrix_det_range (n : Nat) : (fibSumMatrix n).det = -1 ∨ (fibSumMatrix n).det = 0 ∨ (fibSumMatrix n).det = 1 := by sorry",
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "theoremdb mixed-memory fixture"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "formalizes",
      "direction": "outgoing"
    },
    {
      "slug": "R911",
      "title": "Lean determinant-range reduction",
      "object_type": "formalization",
      "relation": "supersedes",
      "direction": "incoming",
      "metadata": {
        "reason": "Replaces the sorry-bearing draft with the checked determinant-range declaration."
      }
    }
  ]
}