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<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">l</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:30_1_2"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">k</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp;  ex <font color="Olive">m</font> being  <a href="int_1.html#NM1">Integer</a> st <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Olive">m</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">k</font> &amp; ( for <font color="Olive">m1</font> being  <a href="int_1.html#NM1">Integer</a><br/> for <font color="Olive">k1</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">k1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Olive">m1</font> <a href="xcmplx_0.html#K7">/</a> <font color="Olive">k1</font> holds <br/><font color="Maroon">k</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">k1</font> ) )
 <b>and </b><br/><a NAME="E2:30_1_2"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">l</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp;  ex <font color="Olive">n</font> being  <a href="int_1.html#NM1">Integer</a> st <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Olive">n</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">l</font> &amp; ( for <font color="Olive">n1</font> being  <a href="int_1.html#NM1">Integer</a><br/> for <font color="Olive">l1</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">l1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Olive">n1</font> <a href="xcmplx_0.html#K7">/</a> <font color="Olive">l1</font> holds <br/><font color="Maroon">l</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">l1</font> ) )
 ;<br/>

<a NAME="E3:30_1_2"/>
( <font color="Maroon">k</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">l</font> &amp; <font color="Maroon">l</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">k</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:30_1_2"/>
<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l</font>
 <b>by </b><i><a class="ref" href="xxreal_0.html#T1">XXREAL_0:1</a></i>;<br/>


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