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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: COMPLSP1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">V</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="complsp1.html#K1" title="COMPLSP1:func.1">the_Complex_Space</a> <font color="Olive" title="b1">n</font></span>)</span><br/>  for <font color="Olive" title="b3">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="seq_4.html#K12" title="SEQ_4:func.12">COMPLEX</a> <font color="Olive" title="b1">n</font></span>)</span>  st <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">V</font> holds <br/>( <font color="Olive" title="b3">A</font> is  <a href="seq_4.html#V2" title="SEQ_4:attr.2">closed</a>  iff <font color="Olive" title="b2">V</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  )</div></div>
