<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: TSP_1:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</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">Y</font>  st ( <font color="Olive" title="b2">A</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  or <font color="Olive" title="b3">B</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  ) &amp; <font color="Olive" title="b2">A</font> is  <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a>  &amp; <font color="Olive" title="b3">B</font> is  <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a>  holds <br/><font color="Olive" title="b2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">B</font> is  <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a> </div></div>
