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<b>let </b><font color="Maroon">n</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">k</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">l</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:60"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">n</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>and </b><br/><a NAME="E2:60"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">k</font> <a href="nat_1.html#K6" target="_self">mod</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> 0
 <b>and </b><br/><a NAME="E3:60"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">l</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">n</font>
 ;<br/>

<a NAME="E4:60"/>
 ex <font color="Olive">t</font> being  <a href="nat_1.html#NM1">Nat</a> st <br/>( <font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="xcmplx_0.html#K3">*</a> <font color="Olive">t</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 0 &amp; 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">n</font> )
 
<b>by </b><i><a class="txt" href="nat_1.html#E2:60"><i><font color="Green">E32</font></i></a>, , </i>;<br/>
<b>hence </b><a NAME="E5:60"/>
<span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">l</font></span>)</span> <a href="nat_1.html#K6" target="_self">mod</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l</font>
 <b>by </b><i><a class="txt" href="nat_1.html#E3:60"><i><font color="Green">E34</font></i></a>, </i>;<br/>


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