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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th19</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: TOPGEN_3:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds  <span class="p1"> { <span class="default"> <font color="Olive" title="b2">x</font> where <font color="Olive" title="b2">x</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  : <font color="Olive" title="b2">x</font> <a href="topgen_3.html#R1" title="TOPGEN_3:pred.1">is_local_minimum_of</a> <font color="Olive" title="b1">U</font> </span> } </span>  is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> </div></div>
