<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th19</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: TOPGEN_2:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">x0</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="topgen_2.html#K5" title="TOPGEN_2:func.5">DiscrWithInfin</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">x0</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> or <font color="Olive" title="b3">A</font> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  ) )</div></div>
