{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0GNGPF7KS5"
    },
    {
      "field": "uses",
      "target": "1Z6RS2C7AK"
    },
    {
      "field": "uses",
      "target": "5VPXR3RDF1"
    },
    {
      "field": "uses",
      "target": "BZ5GXNN7HC"
    },
    {
      "field": "uses",
      "target": "D1GQNNRDDN"
    },
    {
      "field": "uses",
      "target": "GT224XDA4E"
    },
    {
      "field": "uses",
      "target": "H13W0YERH5"
    },
    {
      "field": "uses",
      "target": "PBZK2A09X4"
    },
    {
      "field": "about",
      "target": "5VPXR3RDF1"
    },
    {
      "field": "about",
      "target": "D1GQNNRDDN"
    },
    {
      "field": "about",
      "target": "GT224XDA4E"
    }
  ],
  "body": "\n## Summary\n\nAn antichain in a partially ordered set is a subset in which no two different elements are comparable.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "06A07"
    ],
    "name": "Antichain",
    "same_as": {
      "wikidata": "Q431937",
      "wikipedia": "Antichain"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Antichain"
      }
    ],
    "tag": "03HF498P1J"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/03HF498P1J/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/03HF498P1J.md",
  "msc": [
    "06A07"
  ],
  "name": "Antichain",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/03H/03HF498P1J.md",
  "status": null,
  "tag": "03HF498P1J",
  "uri": "m2://03HF498P1J",
  "url": "https://tamnd.github.io/math2/wiki/antichain/",
  "writing": {
    "tag": "03HF498P1J",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}