{
  "aliases": null,
  "backlinks": null,
  "body": "\n## Statement\n\nIt is conjectured that all matroids satisfy the following property: For every integer *t* ≥ 1*,* If **B** and **B'** are two *t*-tuples of bases with the same multi-set union, then there is a sequence of symmetric exchanges that transforms **B** to **B'**.\n",
  "commit": "68a8c3dc73fd55004b2796431c607c30960d1a85",
  "front": {
    "inventory": [
      "M5M4MQME2A"
    ],
    "kind": "statement",
    "name": "Neil White's conjecture",
    "role": "proposition",
    "sources": [
      {
        "locator": "Basis of a matroid, section Properties \u003e Neil White's conjecture",
        "mention": "wikipedia://en/65673969#03N6",
        "note": "adopted",
        "sections": [
          "Statement"
        ],
        "wikipedia": "en:65673969@r1320304207"
      }
    ],
    "tag": "78B5M2RW95"
  },
  "kind": "statement",
  "link": "https://math2.tamnd.com/node/78B5M2RW95/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/78B5M2RW95.md",
  "msc": null,
  "name": "Neil White's conjecture",
  "prov": null,
  "role": "proposition",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/78B/78B5M2RW95.md",
  "status": null,
  "tag": "78B5M2RW95",
  "uri": "m2://78B5M2RW95",
  "url": "https://math2.tamnd.com/wiki/neil-whites-conjecture/",
  "writing": {
    "tag": "78B5M2RW95",
    "kind": "statement",
    "level": "W0",
    "next": [
      {
        "what": "edge uses out",
        "note": "each definition that the statement needs",
        "have": 0,
        "want": 1
      }
    ]
  }
}
