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<a NAME="E1:27_1_1"/>
 <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>,the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</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#K3" title="WAYBEL_9:func.3">+id</a> </span>)</span>,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#K3" title="WAYBEL_9:func.3">+id</a> </span>)</span> #)
 
<b>by </b><i><a class="ref" href="waybel_9.html#D5" target="_self" title="WAYBEL_9:def.5">Def5</a></i>;<br/>
<a NAME="E2:27_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#K3" title="WAYBEL_9:func.3">+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#K3" title="WAYBEL_9:func.3">+id</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="orders_2.html#D6" title="ORDERS_2:def.6">ORDERS_2:def 6</a></i>;<br/>
<b>hence </b><a NAME="E3:27_1_1"/>
<font color="Maroon" title="c1">L</font> <a href="waybel_9.html#K3" title="WAYBEL_9:func.3">+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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