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<b>set </b><font color="Maroon">A</font> =  <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #);<br/>
<a NAME="E1:7_1_1"/>
 <a href="relat_1.html#K3">field</a> <font color="Maroon">O</font> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="orders_1.html#T97">ORDERS_1:97</a></i>;<br/>
<b>hence </b><a NAME="E2:7_1_1"/>
( the <a href="orders_2.html#U1" target="_self">InternalRel</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) <a href="relat_2.html#R1">is_reflexive_in</a> the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) &amp; the <a href="orders_2.html#U1" target="_self">InternalRel</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) <a href="relat_2.html#R8">is_transitive_in</a> the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) &amp; the <a href="orders_2.html#U1" target="_self">InternalRel</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) <a href="relat_2.html#R4">is_antisymmetric_in</a> the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1" target="_self">RelStr</a>(# <font color="Maroon">X</font>,<font color="Maroon">O</font> #) )
 <b>by </b><i><a class="ref" href="relat_2.html#D9">RELAT_2:def 9</a>, <a class="ref" href="relat_2.html#D12">RELAT_2:def 12</a>, <a class="ref" href="relat_2.html#D16">RELAT_2:def 16</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="orders_2.html#D4" target="_self">ORDERS_2:def 4</a>,<a class="ref" href="orders_2.html#D5" target="_self">ORDERS_2:def 5</a>,<a class="ref" href="orders_2.html#D6" target="_self">ORDERS_2:def 6</a><br/>


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