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<div><span class="kw">theorem </span><a NAME="T29"><span class="comment"><font color="firebrick">:: COMPL_SP:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#V7" title="PRE_TOPC:attr.7">T_1</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a> holds <br/> ( <font color="Olive" title="b1">T</font> is  <a href="compl_sp.html#V8" title="COMPL_SP:attr.8">countably_compact</a>  iff  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b2">A</font> is  <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>  &amp; <font color="Olive" title="b2">A</font> is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>  holds <br/> not  <a href="topgen_1.html#K2" title="TOPGEN_1:func.2">Der</a> <font color="Olive" title="b2">A</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) <span class="kw">by</span> <span class="lab"><a class="txt" href="compl_sp.html#E39"><span class="lab"><font color="Green" title="E29">Lm5</font></span></a>, <a class="ref" href="compl_sp.html#T28" target="_self" onmouseover="rs('compl_sp/T28')" onmouseout="rh()">Th27</a></span>;<br/></div></div>
