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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th22</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: COMPL_SP:22</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#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">S</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>   <a href="compl_sp.html#V5" title="COMPL_SP:attr.5">closed</a>  <a href="kurato_2.html#NM1" title="KURATO_2:NM.1">SetSequence</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b2">S</font> is <a href="prob_1.html#V2" title="PROB_1:attr.2">V176</a>() holds <br/> <a href="kurato_0.html#K2" title="KURATO_0:func.2">meet</a> <font color="Olive" title="b2">S</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )</div></div>
