<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="fin_topo.html#V3" title="FIN_TOPO:attr.3">closed</a> <a onclick="hs(this)" href="javascript:()">FIN_TOPO:def 15 : <br/></a><span> 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">IT</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FT</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="fin_topo.html#V3" title="FIN_TOPO:attr.3">closed</a>  iff <font color="Olive" title="b2">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">IT</font> <a href="fin_topo.html#K9" title="FIN_TOPO:func.9">^b</a>  );<br/></span></div>
