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<a NAME="E1:37_1_1"/>
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="relat_2.html#R4">is_antisymmetric_in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>
 
<b>by </b><i><a class="ref" href="orders_2.html#D6">ORDERS_2:def 6</a></i>;<br/>
<a NAME="E2:37_1_1"/><b>then </b><i><font color="Green">E33</font></i>: 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="relset_1.html#K6">~</a>  <a href="relat_2.html#R4">is_antisymmetric_in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>
 
<b>by </b><i><a class="ref" href="orders_1.html#T191">ORDERS_1:191</a></i>;<br/>
<a NAME="E3:37_1_1"/>
the <a href="orders_2.html#U1">InternalRel</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="waybel_9.html#K4" target="_self">opp+id</a> </span>)</span> <a href="hidden.html#R1">=</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="relset_1.html#K6">~</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E4:37_1_1"/><b>then </b>
the <a href="orders_2.html#U1">InternalRel</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="waybel_9.html#K4" target="_self">opp+id</a> </span>)</span> <a href="relat_2.html#R4">is_antisymmetric_in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="waybel_9.html#K4" target="_self">opp+id</a> </span>)</span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:37_1_1"/>
<font color="Maroon">L</font> <a href="waybel_9.html#K4" target="_self">opp+id</a>  is <a href="orders_2.html#V4">antisymmetric</a>
 <b>by </b><i><a class="ref" href="orders_2.html#D6">ORDERS_2:def 6</a></i>;<br/>


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