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<b>let </b><font color="Maroon" title="c1">L</font> be   <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">p</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>  st <font color="Olive" title="b1">p</font> is <a href="waybel_6.html#V5" title="WAYBEL_6:attr.5">prime</a> holds <br/><font color="Olive" title="b1">p</font> is <a href="waybel_7.html#V4" title="WAYBEL_7:attr.4">pseudoprime</a></span><br/><b>let </b><font color="Maroon" title="c2">p</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">p</font> is <a href="waybel_6.html#V5" title="WAYBEL_6:attr.5">prime</a> implies <font color="Maroon" title="c2">p</font> is <a href="waybel_7.html#V4" title="WAYBEL_7:attr.4">pseudoprime</a> )</span><br/>



<b>assume </b><a NAME="E1:51"/>
<font color="Maroon" title="c2">p</font> is <a href="waybel_6.html#V5" title="WAYBEL_6:attr.5">prime</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">p</font> is <a href="waybel_7.html#V4" title="WAYBEL_7:attr.4">pseudoprime</a></span><br/>

<a NAME="E2:51"/><b>then </b>
(  <a href="waybel_0.html#K5" title="WAYBEL_0:func.5">downarrow</a> <font color="Maroon" title="c2">p</font> is <a href="waybel_7.html#V1" title="WAYBEL_7:attr.1">prime</a> &amp; <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_0.html#NK3" title="YELLOW_0:NK.3">sup</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5" title="WAYBEL_0:func.5">downarrow</a> <font color="Maroon" title="c2">p</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="waybel_7.html#T37" target="_self" title="WAYBEL_7:th.37">Th37</a>, <a class="ref" href="waybel_0.html#T34" title="WAYBEL_0:th.34">WAYBEL_0:34</a></i>;<br/>
<b>hence </b><a NAME="E3:51"/>
 ex <font color="Olive" title="b1">P</font> being <a href="waybel_7.html#V1" title="WAYBEL_7:attr.1">prime</a> <a href="waybel_0.html#NM3" title="WAYBEL_0:NM.3">Ideal</a> of <font color="Maroon" title="c1">L</font> st <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_0.html#NK3" title="YELLOW_0:NK.3">sup</a> <font color="Olive" title="b1">P</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_7.html#D6" target="_self" title="WAYBEL_7:def.6">WAYBEL_7:def 6</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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