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<div><span class="kw">theorem </span><a NAME="T27"><span class="comment"><font color="firebrick">:: FINTOPO6:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">FT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FT</font>  st <font color="Olive" title="b2">A</font> is  <a href="fin_topo.html#V3" title="FIN_TOPO:attr.3">closed</a>  &amp; <font color="Olive" title="b3">B</font> is  <a href="fin_topo.html#V3" title="FIN_TOPO:attr.3">closed</a>  &amp; <font color="Olive" title="b2">A</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b3">B</font> holds <br/><font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font> <a href="fintopo4.html#R1" title="FINTOPO4:pred.1">are_separated</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo4.html#D1" onmouseover="rs('fintopo4/D1')" onmouseout="rh()">FINTOPO4:def 1</a></span>;<br/></div></div>
