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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="E1:51"/>
<font color="Maroon">p</font> is <a href="waybel_6.html#V5">prime</a>
 ;<br/>

<a NAME="E2:51"/><b>then </b>
(  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">p</font> is <a href="waybel_7.html#V1" target="_self">prime</a> &amp; <font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#NK3" target="_self">sup</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">p</font></span>)</span> )
 
<b>by </b><i>, <a class="ref" href="waybel_0.html#T34">WAYBEL_0:34</a></i>;<br/>
<b>hence </b><a NAME="E3:51"/>
 ex <font color="Olive">P</font> being <a href="waybel_7.html#V1" target="_self">prime</a> <a href="waybel_0.html#NM3">Ideal</a> of <font color="Maroon">L</font> st <font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#NK3" target="_self">sup</a> <font color="Olive">P</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_7.html#D6" target="_self">WAYBEL_7:def 6</a><br/>


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