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<a NAME="E1:42"/>
not 3 <a href="int_1.html#R2">divides</a> 5
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="42_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:42_1"/>
3 <a href="int_1.html#R2">divides</a> 5
 ;<br/>

<a NAME="E2:42_1"/><b>then </b>
3 <a href="nat_1.html#R1">divides</a> 5
 
<b>by </b><i><a class="ref" href="scpinvar.html#T2">SCPINVAR:2</a></i>;<br/>
<a NAME="E3:42_1"/><b>then </b><i><font color="Green">E30</font></i>: 
5 <a href="nat_1.html#K4">mod</a> 3 <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="pepin.html#T6">PEPIN:6</a></i>;<br/>
<a NAME="E4:42_1"/>
5 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">3 <a href="nat_1.html#K2">*</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 2
 
;<br/>
<b>hence </b><a NAME="E5:42_1"/>
contradiction
 <b>by </b><i><a class="txt" href="scmpds_9.html#E3:42_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="nat_1.html#D2">NAT_1:def 2</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:42"/>
not 5 <a href="xcmplx_0.html#K7">/</a> 3 is <a href="int_1.html#V1">integer</a>
 <b>by </b><i><a class="ref" href="wsierp_1.html#T22">WSIERP_1:22</a></i>;<br/>


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