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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E1:28"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 25
 ;<br/>

<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E2:28"/><i><font color="Green">E30</font></i>: 
( 1 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="binop_2.html#K24">*</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="int_2.html#V1">prime</a> )
 ;<br/>

<a NAME="E3:28"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="binop_2.html#K24">*</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 5 <a href="binop_2.html#K24">*</a> 5
 
<b>by </b><i><a class="ref" href="xreal_1.html#T2">XREAL_1:2</a>, <a class="txt" href="nat_4.html#E1:28"><i><font color="Green">E29</font></i></a></i>;<br/>
<a NAME="E4:28"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 5
 
<b>by </b><i><a class="ref" href="nat_4.html#T1" target="_self">Th1</a></i>;<br/>
<b>hence </b><a NAME="E5:28"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 2 or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 3 )
 <b>by </b><i><a class="txt" href="nat_4.html#E2:28"><i><font color="Green">E30</font></i></a>, <a class="txt" href="nat_4.html#E27"><i><font color="Green">Lemma27</font></i></a></i>;<br/>


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