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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Th39</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: TOPGEN_3:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">x0</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">A</font> being   <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Olive" title="b2">x0</font> <a href="topgen_3.html#K6" title="TOPGEN_3:func.6">-PointClTop</a> <font color="Olive" title="b1">X</font></span>)</span> holds <br/> ( <font color="Olive" title="b3">A</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  iff  not <font color="Olive" title="b2">x0</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> )</div></div>
