{
  "definitions" : {
    "f" : [ {
      "Q1948412" : "morphism (mathematics)"
    } ],
    "Z" : [ {
      "Q3554818" : "projective variety"
    } ],
    "n" : [ {
      "Q21199" : "natural number (numbers used for counting and ordering)"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\dim f(Z) > n",
  "math_inputtex_semantic" : "\\dim \\wf{Q1948412}{f}(\\w{Q3554818}{Z}) > \\w{Q21199}{n}",
  "correct_tex" : "\\dim f(Z) > n",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\dim f(Z)&gt;n\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n      <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n        <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">dim</mo>\n        <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">⁡</mo>\n        <mrow id=\"p1.1.m1.1.8.1.1.2\" xref=\"p1.1.m1.1.8.1.1.1.cmml\">\n          <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">f</mi>\n          <mo id=\"p1.1.m1.1.8.1.1.2a\" xref=\"p1.1.m1.1.8.1.1.1.cmml\">⁡</mo>\n          <mrow id=\"p1.1.m1.1.8.1.1.2.1\" xref=\"p1.1.m1.1.8.1.1.1.cmml\">\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.1.1.1.cmml\">(</mo>\n            <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">Z</mi>\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.1.1.1.cmml\">)</mo>\n          </mrow>\n        </mrow>\n      </mrow>\n      <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">&gt;</mo>\n      <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">n</mi>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n        <gt id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n        <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">dimension</csymbol>\n          <apply id=\"p1.1.m1.1.8.1.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1.2\">\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">Q1948412</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q3554818</csymbol>\n          </apply>\n        </apply>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q21199</csymbol>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\dim f(Z)&gt;n</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=13966#math13966.2",
  "title" : "Fulton–Hansen_connectedness_theorem",
  "type" : "relation"
}