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<div><span class="kw">theorem </span><a NAME="T62"><span class="comment"><font color="firebrick">:: TOPGEN_4:62</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> 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="prob_1.html#V1" title="PROB_1:attr.1">compl-closed</a>  &amp; <font color="Olive" title="b2">F</font> is  <a href="topgen_4.html#V3" title="TOPGEN_4:attr.3">closed_for_countable_unions</a>  holds <br/><font color="Olive" title="b2">F</font> is   <a href="topgen_4.html#NM1" title="TOPGEN_4:NM.1">SigmaField</a> of <font color="Olive" title="b1">T</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="topgen_4.html#T13" target="_self" onmouseover="rs('topgen_4/T13')" onmouseout="rh()">Th13</a></span>;<br/></div></div>
