"strict implication" meaning in English

{
  "antonyms": [
    {
      "word": "material implication"
    }
  ],
  "forms": [
    {
      "form": "strict implications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "strict implication (plural strict implications)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A material implication that is acted upon by the necessity operator from modal logic."
      ],
      "id": "en-strict_implication-en-noun-gHaiPhE-",
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "material implication",
          "material implication"
        ],
        [
          "modal logic",
          "modal logic"
        ]
      ],
      "raw_glosses": [
        "(logic) A material implication that is acted upon by the necessity operator from modal logic."
      ],
      "synonyms": [
        {
          "word": "strict conditional"
        }
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "strict implication"
      ]
    }
  ],
  "word": "strict implication"
}

{
  "antonyms": [
    {
      "word": "material implication"
    }
  ],
  "forms": [
    {
      "form": "strict implications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "strict implication (plural strict implications)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Logic"
      ],
      "glosses": [
        "A material implication that is acted upon by the necessity operator from modal logic."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "material implication",
          "material implication"
        ],
        [
          "modal logic",
          "modal logic"
        ]
      ],
      "raw_glosses": [
        "(logic) A material implication that is acted upon by the necessity operator from modal logic."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "strict implication"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "strict conditional"
    }
  ],
  "word": "strict implication"
}