{
  "aliases": [
    "kernel-of-a-function",
    "equivalence-kernel"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0QE5PFJY7V"
    }
  ],
  "body": "\n## Summary\n\nEach function induces an equivalence relation on its domain: two elements are equivalent when the function has the same value at both.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "kernel-of-a-function",
      "equivalence-kernel"
    ],
    "kind": "concept",
    "msc": [
      "03E20"
    ],
    "name": "Equivalence relation induced by a function",
    "same_as": {
      "wikidata": "Q687704",
      "wikipedia": "Kernel (set theory)"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Kernel_(set_theory)"
      }
    ],
    "tag": "0KT8TGXD8K"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0KT8TGXD8K/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0KT8TGXD8K.md",
  "msc": [
    "03E20"
  ],
  "name": "Equivalence relation induced by a function",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0KT/0KT8TGXD8K.md",
  "status": null,
  "tag": "0KT8TGXD8K",
  "uri": "m2://0KT8TGXD8K",
  "url": "https://math2.tamnd.com/wiki/equivalence-relation-induced-by-a-function/",
  "writing": {
    "tag": "0KT8TGXD8K",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
