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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: FINTOPO6:41</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="b1">FT</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">filled</a>  &amp; <font color="Olive" title="b1">FT</font> is  <a href="fin_topo.html#V1" title="FIN_TOPO:attr.1">symmetric</a>  &amp; <font color="Olive" title="b2">A</font> <a href="fintopo6.html#R1" title="FINTOPO6:pred.1">is_a_component_of</a> <font color="Olive" title="b1">FT</font> &amp; <font color="Olive" title="b3">B</font> <a href="fintopo6.html#R1" title="FINTOPO6:pred.1">is_a_component_of</a> <font color="Olive" title="b1">FT</font> &amp;  not <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">B</font> holds <br/><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> <span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo6.html#T40" target="_self" onmouseover="rs('fintopo6/T40')" onmouseout="rh()">Th39</a>, <a class="ref" href="fintopo4.html#T6" onmouseover="rs('fintopo4/T6')" onmouseout="rh()">FINTOPO4:6</a></span>;<br/></div></div>
