{
  "aliases": [
    "logically-equivalent"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "06GYGS41JK"
    }
  ],
  "body": "\n## Summary\n\nTwo formulas are logically equivalent when they have the same truth value in every case.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "logically-equivalent"
    ],
    "kind": "concept",
    "msc": [
      "03B05"
    ],
    "name": "Logical equivalence",
    "same_as": {
      "wikidata": "Q220433",
      "wikipedia": "Logical equivalence"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Logical_equivalence"
      }
    ],
    "tag": "0JMR2HM2N2"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0JMR2HM2N2/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0JMR2HM2N2.md",
  "msc": [
    "03B05"
  ],
  "name": "Logical equivalence",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0JM/0JMR2HM2N2.md",
  "status": null,
  "tag": "0JMR2HM2N2",
  "uri": "m2://0JMR2HM2N2",
  "url": "https://math2.tamnd.com/wiki/logical-equivalence/",
  "writing": {
    "tag": "0JMR2HM2N2",
    "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
      }
    ]
  }
}