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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th23</font></span>: <a NAME="T23"><span class="comment"><font color="firebrick">:: TOPGEN_4:23</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><br/>  for <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</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="tops_2.html#V1" title="TOPS_2:attr.1">open</a>  &amp; <font color="Olive" title="b3">G</font> is  <a href="tops_2.html#V1" title="TOPS_2:attr.1">open</a>  holds <br/> <a href="topgen_4.html#K2" title="TOPGEN_4:func.2">INTERSECTION</a> (<font color="Olive" title="b2">F</font>,<font color="Olive" title="b3">G</font>) is  <a href="tops_2.html#V1" title="TOPS_2:attr.1">open</a> </div></div>
