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<span class="kw">thus </span><a NAME="E1:29_1_1"/>
( <font color="Maroon" title="c1">O</font> is  <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a>  implies  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> <a href="relat_2.html#R5" title="RELAT_2:pred.5">is_asymmetric_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">O</font> )
  <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> <a href="relat_2.html#R5" title="RELAT_2:pred.5">is_asymmetric_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">O</font> implies <font color="Maroon" title="c1">O</font> is  <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a>  )</span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:29_1_1_1"/>
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> is  <a href="relat_2.html#V5" title="RELAT_2:attr.5">asymmetric</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="necklace.html#D4" title="NECKLACE:def.4">NECKLACE:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> <a href="relat_2.html#R5" title="RELAT_2:pred.5">is_asymmetric_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">O</font></span><br/>

<span class="kw">hence </span><a NAME="E2:29_1_1_1"/>
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> <a href="relat_2.html#R5" title="RELAT_2:pred.5">is_asymmetric_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">O</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="partit_2.html#T28" title="PARTIT_2:th.28">PARTIT_2:28</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/>


</div><span class="kw">end;</span></div>

<span class="kw">assume </span><a NAME="E2:29_1_1"/>
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> <a href="relat_2.html#R5" title="RELAT_2:pred.5">is_asymmetric_in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">O</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">O</font> is  <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a> </span><br/>

<span class="kw">hence </span><a NAME="E3:29_1_1"/>
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">O</font> is  <a href="relat_2.html#V5" title="RELAT_2:attr.5">asymmetric</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="partit_2.html#T29" title="PARTIT_2:th.29">PARTIT_2:29</a></span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="necklace.html#D4" title="NECKLACE:def.4">NECKLACE:def 4</a> <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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