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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: TOPS_1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">TS</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">TS</font>  st <font color="Olive" title="b2">P</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; <font color="Olive" title="b3">Q</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  holds <br/><font color="Olive" title="b2">P</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">Q</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  ;<br/></div></div>
