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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: COMPL_SP:21</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">F</font> being   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b2">F</font> is  <a href="finset_1.html#V3" title="FINSET_1:attr.3">centered</a>  &amp; <font color="Olive" title="b2">F</font> is  <a href="tops_2.html#V2" title="TOPS_2:attr.2">closed</a>  &amp; <font color="Olive" title="b2">F</font> is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>  holds <br/> <a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a> <font color="Olive" title="b2">F</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>
