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<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>, <font color="Maroon" title="c3">B</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><b>that </b><br/><a NAME="E1:52"/><i><font color="Green" title="E29">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> )
 <b>and </b><br/><a NAME="E2:52"/><i><font color="Green" title="E30">A2</font></i>: 
<font color="Maroon" title="c3">B</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="E3:52"/>
( <font color="Maroon" title="c2">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">B</font> implies <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font> <a href="fintopo4.html#R1" title="FINTOPO4:pred.1">are_separated</a>  )
 
<b>by </b><i><a class="txt" href="fintopo6.html#E1:52"><i><font color="Green" title="E29">A1</font></i></a>, <a class="txt" href="fintopo6.html#E2:52"><i><font color="Green" title="E30">A2</font></i></a>, <a class="ref" href="fintopo6.html#T40" target="_self" title="FINTOPO6:th.40">Th40</a></i>;<br/>
<b>hence </b><a NAME="E4:52"/>
( <font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B</font> or <font color="Maroon" title="c2">A</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Maroon" title="c3">B</font> )
 <b>by </b><i><a class="ref" href="fintopo4.html#T6" title="FINTOPO4:th.6">FINTOPO4:6</a>, <a class="txt" href="fintopo6.html#E1:52"><i><font color="Green" title="E29">A1</font></i></a></i>;<br/>


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