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<b>reconsider </b><font color="Maroon">x'</font> = <font color="Maroon">x</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> ;<br/>
<b>thus </b><a NAME="E2:51_2_1"/>
not  <a href="waybel_0.html#K6" target="_self">uparrow</a> <font color="Maroon">x</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<b>let </b><font color="Maroon">z</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>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D2" target="_self">WAYBEL_0:def 2</a><br/>

<b>assume </b><a NAME="E3:51_2_1"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">z</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6" target="_self">uparrow</a> <font color="Maroon">x</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6" target="_self">uparrow</a> <font color="Maroon">x</font> )
 ;<br/>

<b>take </b>
<font color="Maroon">x'</font>
;<br/>

<a NAME="E4:51_2_1"/>
<font color="Maroon">x'</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">x'</font>
 
;<br/>
<b>hence </b><a NAME="E5:51_2_1"/>
( <font color="Maroon">x'</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6" target="_self">uparrow</a> <font color="Maroon">x</font> &amp; <font color="Maroon">x'</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">z</font> &amp; <font color="Maroon">x'</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">y</font> )
 <b>by </b><i><a class="ref" href="waybel_0.html#T1" target="_self">Th1</a>, </i>;<br/>


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