<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">FT</font> be  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/><b>let </b><font color="Maroon" title="c2">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">FT</font>;<br/>



<b>assume </b><a NAME="E1:50"/><i><font color="Green" title="E28">A1</font></i>: 
( <font color="Maroon" title="c1">FT</font> is <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a> &amp; <font color="Maroon" title="c1">FT</font> is <a href="fin_topo.html#V1" title="FIN_TOPO:attr.1">symmetric</a> &amp; <font color="Maroon" title="c2">A</font> <a href="fintopo6.html#R1" title="FINTOPO6:pred.1">is_a_component_of</a> <font color="Maroon" title="c1">FT</font> )
 ;<br/>

<a NAME="E2:50"/><b>then </b><i><font color="Green" title="E29">A2</font></i>: 
<font color="Maroon" title="c2">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">A</font> <a href="fin_topo.html#K9" title="FIN_TOPO:func.9">^b</a> 
 
<b>by </b><i><a class="ref" href="fin_topo.html#T18" title="FIN_TOPO:th.18">FIN_TOPO:18</a></i>;<br/>
<a NAME="E3:50"/>
<font color="Maroon" title="c2">A</font> is <a href="fin_topo.html#V4" title="FIN_TOPO:attr.4">connected</a>
 
<b>by </b><i><a class="txt" href="fintopo6.html#E1:50"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="fintopo6.html#D4" target="_self" title="FINTOPO6:def.4">Def4</a></i>;<br/>
<a NAME="E4:50"/><b>then </b>
<font color="Maroon" title="c2">A</font> <a href="fin_topo.html#K9" title="FIN_TOPO:func.9">^b</a>  is <a href="fin_topo.html#V4" title="FIN_TOPO:attr.4">connected</a>
 
<b>by </b><i><a class="txt" href="fintopo6.html#E1:50"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="fintopo6.html#T36" target="_self" title="FINTOPO6:th.36">Th36</a></i>;<br/>
<b>hence </b><a NAME="E5:50"/>
<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">A</font> <a href="fin_topo.html#K9" title="FIN_TOPO:func.9">^b</a> 
 <b>by </b><i><a class="txt" href="fintopo6.html#E1:50"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="fintopo6.html#E2:50"><i><font color="Green" title="E29">A2</font></i></a>, <a class="ref" href="fintopo6.html#D4" target="_self" title="FINTOPO6:def.4">Def4</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="fin_topo.html#D17" title="FIN_TOPO:def.17">FIN_TOPO:def 17</a><br/>


</div>
