"Hindman's theorem" meaning in English

{
  "etymology_text": "Named after N. Hindman.",
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  "lang_code": "en",
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      "glosses": [
        "A theorem stating that, if S, is an IP set and S=C_1∪C_2∪...∪C_n, then at least one C_i, contains an IP set."
      ],
      "id": "en-Hindman's_theorem-en-name-UV84oCEb",
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      "raw_glosses": [
        "(mathematics) A theorem stating that, if S, is an IP set and S=C_1∪C_2∪...∪C_n, then at least one C_i, contains an IP set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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        "Hindman's theorem"
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  "word": "Hindman's theorem"
}

{
  "etymology_text": "Named after N. Hindman.",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A theorem stating that, if S, is an IP set and S=C_1∪C_2∪...∪C_n, then at least one C_i, contains an IP set."
      ],
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        [
          "mathematics",
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          "IP set",
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        "(mathematics) A theorem stating that, if S, is an IP set and S=C_1∪C_2∪...∪C_n, then at least one C_i, contains an IP set."
      ],
      "topics": [
        "mathematics",
        "sciences"
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      ]
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}