"if and only if" meaning in All languages combined

See if and only if on Wiktionary

Conjunction [English]

Forms: if and only if
Head templates: {{conjunction}} [POS TABLE]
  1. When two statements A and B are logically equivalent, if and only if can be used to conjoin these two statements. Synonyms: iff
    Sense id: simple-if_and_only_if-en-conj-ZnIwg2GD Categories (other): Mathematics
     
{
  "forms": [
    {
      "form": "if and only if",
      "raw_tags": [
        "Conjunction"
      ]
    }
  ],
  "head_templates": [
    {
      "expansion": "[POS TABLE]",
      "name": "conjunction"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "conj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "A rectangle is a square if and only if all four of its sides have the same length."
        }
      ],
      "glosses": [
        "When two statements A and B are logically equivalent, if and only if can be used to conjoin these two statements."
      ],
      "id": "simple-if_and_only_if-en-conj-ZnIwg2GD",
      "raw_tags": [
        "mathematics"
      ],
      "synonyms": [
        {
          "word": "iff"
        }
      ]
    }
  ],
  "word": "if and only if"
}

{
  "forms": [
    {
      "form": "if and only if",
      "raw_tags": [
        "Conjunction"
      ]
    }
  ],
  "head_templates": [
    {
      "expansion": "[POS TABLE]",
      "name": "conjunction"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "conj",
  "senses": [
    {
      "categories": [
        "Mathematics"
      ],
      "examples": [
        {
          "text": "A rectangle is a square if and only if all four of its sides have the same length."
        }
      ],
      "glosses": [
        "When two statements A and B are logically equivalent, if and only if can be used to conjoin these two statements."
      ],
      "raw_tags": [
        "mathematics"
      ],
      "synonyms": [
        {
          "word": "iff"
        }
      ]
    }
  ],
  "word": "if and only if"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the simplewiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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