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<b>let </b><font color="Maroon">FT</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">C</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">FT</font>;<br/>



<b>assume </b><a NAME="E1:47"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">FT</font> is <a href="fin_topo.html#V1">filled</a> &amp; <font color="Maroon">FT</font> is <a href="fin_topo.html#V2">symmetric</a> &amp; <font color="Maroon">C</font> is <a href="fin_topo.html#V5">connected</a> )
 ;<br/>

<a NAME="E2:47"/><b>then </b>
<font color="Maroon">C</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">C</font> <a href="fin_topo.html#K9">^b</a> 
 
<b>by </b><i><a class="ref" href="fin_topo.html#T18">FIN_TOPO:18</a></i>;<br/>
<b>hence </b><a NAME="E3:47"/>
<font color="Maroon">C</font> <a href="fin_topo.html#K9">^b</a>  is <a href="fin_topo.html#V5">connected</a>
 <b>by </b><i>, </i>;<br/>


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