{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R911",
  "content_hash": null,
  "slug": "fib-formalization-determinant-range-lean-v1",
  "type": "formalization",
  "title": "Lean determinant-range reduction",
  "summary": "The exact public target now has a checked Lean proof from the total-unimodularity obligation.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-formalization-determinant-range-lean-v1 (“Lean determinant-range reduction”) states a machine-checkable theorem or proof obligation. The record states: The exact public target now has a checked Lean proof from the total-unimodularity obligation.",
  "relevance_source": "recorded",
  "body": "The exact public theorem and every source dependency compile in the pinned world. The controlled worker attestation remains a separate evidence step.",
  "status": "draft",
  "evidence_grade": "unverified_formalization",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "partial",
    "kind": "formalization",
    "runtime": "lean-4.33.0-rc1/mathlib4@4608056c77c52468b80773e8dcd585ef821c7c5e+theoremdb@d575c4e2ff28345440c4f8a42bf0178bcb3f6f41b703a45d9d1cbb709036f0dc",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "formal/lean/TheoremDB/Fibonacci/DeterminantRange.lean"
    },
    "missing": [
      "source",
      "command",
      "expected_output"
    ]
  },
  "formal_statement": "theorem fibSumMatrix_det_range : DeterminantRangeStatement := by\n  intro n\n  obtain ⟨s, hs⟩ := fibSumMatrix_totallyUnimodular n n id id Function.injective_id Function.injective_id\n  cases s <;> simp_all",
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "formal/lean/TheoremDB/Fibonacci/DeterminantRange.lean"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "formalizes",
      "direction": "outgoing"
    },
    {
      "slug": "R312",
      "title": "Draft Lean determinant-range statement",
      "object_type": "formalization",
      "relation": "supersedes",
      "direction": "outgoing",
      "metadata": {
        "reason": "Replaces the sorry-bearing draft with the checked determinant-range declaration."
      }
    },
    {
      "slug": "R862",
      "title": "Total unimodularity of the Fibonacci-sum matrix",
      "object_type": "formalization",
      "relation": "depends_on",
      "direction": "outgoing"
    }
  ]
}