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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: TOPGEN_3:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">A</font> is  <a href="taxonom2.html#V4" title="TAXONOM2:attr.4">mutually-disjoint</a>  &amp; (  for <font color="Olive" title="b2">a</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">A</font> holds <br/> ex <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>( <font color="Olive" title="b3">x</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b4">y</font> &amp; <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default"><font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font></span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">a</font> ) ) holds <br/><font color="Olive" title="b1">A</font> is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> </div></div>
