"left total" meaning in English

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "left total (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Coordinate term: right total"
        }
      ],
      "glosses": [
        "Such that every element of the domain is related to at least one element of the codomain: such that ∀a∈A;;∃b∈B:(a,b)∈R"
      ],
      "id": "en-left_total-en-adj-OQvG1z9A",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "binary relation",
          "binary relation"
        ],
        [
          "element",
          "element"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "codomain",
          "codomain"
        ]
      ],
      "raw_glosses": [
        "(set theory, of a binary relation R on A×B) Such that every element of the domain is related to at least one element of the codomain: such that ∀a∈A;;∃b∈B:(a,b)∈R"
      ],
      "raw_tags": [
        "of a binary relation R on A×B"
      ],
      "synonyms": [
        {
          "word": "serial"
        },
        {
          "word": "left-total"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "sarjallinen"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "vasemmalta puolelta täysi"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "linkstotal"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "dziedzina lewostronna"
        }
      ]
    }
  ],
  "word": "left total"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "left total (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English uncomparable adjectives",
        "Translation table header lacks gloss",
        "en:Set theory"
      ],
      "examples": [
        {
          "text": "Coordinate term: right total"
        }
      ],
      "glosses": [
        "Such that every element of the domain is related to at least one element of the codomain: such that ∀a∈A;;∃b∈B:(a,b)∈R"
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "binary relation",
          "binary relation"
        ],
        [
          "element",
          "element"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "codomain",
          "codomain"
        ]
      ],
      "raw_glosses": [
        "(set theory, of a binary relation R on A×B) Such that every element of the domain is related to at least one element of the codomain: such that ∀a∈A;;∃b∈B:(a,b)∈R"
      ],
      "raw_tags": [
        "of a binary relation R on A×B"
      ],
      "synonyms": [
        {
          "word": "serial"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "left-total"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "sarjallinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "vasemmalta puolelta täysi"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "linkstotal"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "dziedzina lewostronna"
    }
  ],
  "word": "left total"
}