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<a NAME="E1:36_1_1"/>
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> <a href="relat_2.html#R4" title="RELAT_2:pred.4">is_antisymmetric_in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="orders_2.html#D6" title="ORDERS_2:def.6">ORDERS_2:def 6</a></i>;<br/>
<a NAME="E2:36_1_1"/><b>then </b><i><font color="Green" title="E18">A1</font></i>: 
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> <a href="relset_1.html#K6" title="RELSET_1:func.6">~</a>  <a href="relat_2.html#R4" title="RELAT_2:pred.4">is_antisymmetric_in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="orders_1.html#T191" title="ORDERS_1:th.191">ORDERS_1:191</a></i>;<br/>
<a NAME="E3:36_1_1"/>
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="waybel_9.html#K4" title="WAYBEL_9:func.4">opp+id</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> <a href="relset_1.html#K6" title="RELSET_1:func.6">~</a> 
 
<b>by </b><i><a class="ref" href="waybel_9.html#D6" target="_self" title="WAYBEL_9:def.6">Def6</a></i>;<br/>
<a NAME="E4:36_1_1"/><b>then </b>
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="waybel_9.html#K4" title="WAYBEL_9:func.4">opp+id</a> </span>)</span> <a href="relat_2.html#R4" title="RELAT_2:pred.4">is_antisymmetric_in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="waybel_9.html#K4" title="WAYBEL_9:func.4">opp+id</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="#E2:36_1_1"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="waybel_9.html#D6" target="_self" title="WAYBEL_9:def.6">Def6</a></i>;<br/>
<b>hence </b><a NAME="E5:36_1_1"/>
<font color="Maroon" title="c1">L</font> <a href="waybel_9.html#K4" title="WAYBEL_9:func.4">opp+id</a>  is <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>
 <b>by </b><i><a class="ref" href="orders_2.html#D6" title="ORDERS_2:def.6">ORDERS_2:def 6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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