{
  "aliases": [
    "elementary-recursive-arithmetic",
    "exponential-function-arithmetic",
    "friedmans-grand-conjecture",
    "grand-conjecture"
  ],
  "backlinks": null,
  "body": "\n## Summary\n\nIn proof theory, a branch of mathematical logic, **elementary function arithmetic** (**EFA**), also called **elementary arithmetic** and **exponential function arithmetic**, is the system of arithmetic with the usual elementary properties of 0, 1, +, ×, $x^y$, together with [[induction|0ASJVEFA9J]] for formulas with bounded quantifiers.\n",
  "commit": "4a3290d299c8b2cd6493fce2296920ba7f82d942",
  "front": {
    "aliases": [
      "elementary-recursive-arithmetic",
      "exponential-function-arithmetic",
      "friedmans-grand-conjecture",
      "grand-conjecture"
    ],
    "inventory": [
      "ZEC8JX0DE8"
    ],
    "kind": "concept",
    "name": "Elementary function arithmetic",
    "same_as": {
      "wikidata": "Q5358906",
      "wikipedia": "Elementary function arithmetic"
    },
    "sources": [
      {
        "locator": "Elementary function arithmetic",
        "mention": "wikipedia://en/28037920",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:28037920@r1359766213"
      }
    ],
    "tag": "2JD80TE553"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/2JD80TE553/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/2JD80TE553.md",
  "msc": null,
  "name": "Elementary function arithmetic",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/2JD/2JD80TE553.md",
  "status": null,
  "tag": "2JD80TE553",
  "uri": "m2://2JD80TE553",
  "url": "https://math2.tamnd.com/wiki/elementary-function-arithmetic/",
  "writing": {
    "tag": "2JD80TE553",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "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
      }
    ]
  }
}