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<b>let </b><font color="Maroon">L</font> be   <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<b>assume </b><a NAME="E1:49"/><i><font color="Green">E33</font></i>: 
for <font color="Olive">x</font>, <font color="Olive">y</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>  holds <br/>(  not <font color="Olive">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Olive">y</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font> or <font color="Olive">x</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font> or <font color="Olive">y</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_6.html#D6">WAYBEL_6:def 6</a><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>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_7.html#D1" target="_self">WAYBEL_7:def 1</a><br/>

<b>assume </b><a NAME="E2:49"/>
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">p</font>
 ;<br/>

<a NAME="E3:49"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="waybel_0.html#T17">WAYBEL_0:17</a></i>;<br/>
<a NAME="E4:49"/><b>then </b>
( <font color="Maroon">x</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font> or <font color="Maroon">y</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">p</font> )
 
<b>by </b><i><a class="ref" href="waybel_7.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><a NAME="E5:49"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">p</font> or <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">p</font> )
 <b>by </b><i><a class="ref" href="waybel_0.html#T17">WAYBEL_0:17</a></i>;<br/>


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