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<b>set </b><font color="Maroon">A</font> =  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">L</font>;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">z</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">u</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_4.html#D5" target="_self">WAYBEL_4:def 5</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:12_1_1"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">u</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">x</font>
 <b>and </b><br/><a NAME="E2:12_1_1"/><i><font color="Green">E32</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">L</font>
 <b>and </b><br/><a NAME="E3:12_1_1"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">y</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">z</font>
 ;<br/>

<a NAME="E4:12_1_1"/>
<font color="Maroon">x</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">y</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:12_1_1"/><b>then </b>
<font color="Maroon">u</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">y</font>
 
<b>by </b><i>, <a class="ref" href="orders_2.html#T26">ORDERS_2:26</a></i>;<br/>
<a NAME="E6:12_1_1"/><b>then </b>
<font color="Maroon">u</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">z</font>
 
<b>by </b><i>, <a class="ref" href="orders_2.html#T26">ORDERS_2:26</a></i>;<br/>
<b>hence </b><a NAME="E7:12_1_1"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">u</font>,<font color="Maroon">z</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">L</font>
 <b>by </b><i/>;<br/>


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