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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="30_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:30_1"/><i><font color="Green">E38</font></i>: 
( 1 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">n</font> &amp; <font color="Maroon">n</font> <a href="binop_2.html#K24">*</a> <font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a> 11 &amp; <font color="Maroon">n</font> is <a href="int_2.html#V1">prime</a> )
 ;<br/><a NAME="E2:30_1"/>
11 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="binop_2.html#K24">*</a> 5</span>)</span> <a href="binop_2.html#K23">+</a> 1
 ;<br/><a NAME="E3:30_1"/><b>then </b><i><font color="Green">E39</font></i>: 
not 2 <a href="nat_1.html#R1">divides</a> 11
 <b>by </b><i/>;<br/><a NAME="E4:30_1"/>
11 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">3 <a href="binop_2.html#K24">*</a> 3</span>)</span> <a href="binop_2.html#K23">+</a> 2
 ;<br/><a NAME="E5:30_1"/><b>then </b>
not 3 <a href="nat_1.html#R1">divides</a> 11
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E6:30_1"/>
not <font color="Maroon">n</font> <a href="nat_1.html#R1">divides</a> 11
 <b>by </b><i>, , </i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:30"/>
11 is <a href="int_2.html#V1">prime</a>
 <b>by </b><i/>;<br/>


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