"conditional proof" meaning in All languages combined

{
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    {
      "form": "conditional proofs",
      "tags": [
        "plural"
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    }
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  "head_templates": [
    {
      "args": {},
      "expansion": "conditional proof (plural conditional proofs)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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            "Philosophy",
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        }
      ],
      "examples": [
        {
          "text": "A conditional proof corresponds to the application of what Douglas Hofstadter calls the \"Fantasy Rule\" in his masterwork \"GEB:EGB\". Surprisingly, the theory of propositional calculus which he develops in GEB:EGB employs several inference rules but no axioms: the need for any axioms is done away with through application of the Fantasy Rule.",
          "type": "example"
        }
      ],
      "glosses": [
        "A proof showing that if an assumption A is true then a consequent statement or conclusion B must also be true, i.e. B is true on the condition that A is true."
      ],
      "id": "en-conditional_proof-en-noun-ZiN1AgGJ",
      "links": [
        [
          "logic",
          "logic"
        ]
      ],
      "raw_glosses": [
        "(logic) A proof showing that if an assumption A is true then a consequent statement or conclusion B must also be true, i.e. B is true on the condition that A is true."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "type of proof",
          "word": "ehdollinen todistus"
        }
      ],
      "wikipedia": [
        "conditional proof"
      ]
    }
  ],
  "word": "conditional proof"
}

{
  "forms": [
    {
      "form": "conditional proofs",
      "tags": [
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  "lang_code": "en",
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        {
          "text": "A conditional proof corresponds to the application of what Douglas Hofstadter calls the \"Fantasy Rule\" in his masterwork \"GEB:EGB\". Surprisingly, the theory of propositional calculus which he develops in GEB:EGB employs several inference rules but no axioms: the need for any axioms is done away with through application of the Fantasy Rule.",
          "type": "example"
        }
      ],
      "glosses": [
        "A proof showing that if an assumption A is true then a consequent statement or conclusion B must also be true, i.e. B is true on the condition that A is true."
      ],
      "links": [
        [
          "logic",
          "logic"
        ]
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      "raw_glosses": [
        "(logic) A proof showing that if an assumption A is true then a consequent statement or conclusion B must also be true, i.e. B is true on the condition that A is true."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
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  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "type of proof",
      "word": "ehdollinen todistus"
    }
  ],
  "word": "conditional proof"
}