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<span class="kw">set </span><font color="Maroon" title="c4">A</font> =  <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #);<br/>
<a NAME="E1:67_1_1"/><span class="lab"><font color="Green" title="E25">A1</font></span>: 
 <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#T12" title="ORDERS_1:th.12">ORDERS_1:12</a></span>;<br/>
<a NAME="E2:67_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E26">A2</font></span>: 
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</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 <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_2.html#D12" title="RELAT_2:def.12">RELAT_2:def 12</a></span>;<br/>
<a NAME="E3:67_1_1"/>
(  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) <a href="relat_2.html#R1" title="RELAT_2:pred.1">is_reflexive_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) &amp;  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) <a href="relat_2.html#R8" title="RELAT_2:pred.8">is_transitive_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:67_1_1"><span class="lab"><font color="Green" title="E25">A1</font></span></a>, <a class="ref" href="relat_2.html#D9" title="RELAT_2:def.9">RELAT_2:def 9</a>, <a class="ref" href="relat_2.html#D16" title="RELAT_2:def.16">RELAT_2:def 16</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:67_1_1"/>
(  <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>  &amp;  <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) is  <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a>  &amp;  <a href="waybel_9.html#G1" title="WAYBEL_9:aggr.1">TopRelStr</a>(# <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">O</font>,<font color="Maroon" title="c3">T</font> #) is  <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:67_1_1"><span class="lab"><font color="Green" title="E26">A2</font></span></a>, <a class="ref" href="orders_2.html#D2" title="ORDERS_2:def.2">ORDERS_2:def 2</a>, <a class="ref" href="orders_2.html#D3" title="ORDERS_2:def.3">ORDERS_2:def 3</a>, <a class="ref" href="orders_2.html#D4" title="ORDERS_2:def.4">ORDERS_2:def 4</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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