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<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> , <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> ;<br/>

<b>assume </b><a NAME="E1:26"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="int_3.html#K1" target="_self">INT.Ring</a> 
 ;<br/>

<b>consider </b><font color="Maroon">d</font> being   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> <b> such that </b><br/><a NAME="E3:26"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">d</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="int_3.html#K4" target="_self">div</a> <font color="Maroon">b</font>
 ;<br/>
<b>consider </b><font color="Maroon">c</font> being   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> <b> such that </b><br/><a NAME="E5:26"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="int_3.html#K5" target="_self">mod</a> <font color="Maroon">b</font>
 ;<br/>
<b>consider </b><font color="Maroon">r</font> being   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> <b> such that </b><br/><a NAME="E7:26"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="group_1.html#K10">*</a> <font color="Maroon">b</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">r</font> &amp;  <a href="rlvect_1.html#K1">0.</a> <a href="int_3.html#K1" target="_self">INT.Ring</a>  <a href="int_3.html#R1" target="_self">&lt;=</a> <font color="Maroon">r</font> &amp; <font color="Maroon">r</font> <a href="int_3.html#NR3" target="_self">&lt;</a>  <a href="int_3.html#K2" target="_self">abs</a> <font color="Maroon">b</font> )
 <b>by </b><i>, , </i>;<br/>
<b>consider </b><font color="Maroon">q</font> being   <a href="struct_0.html#NM1">Element</a> of <a href="int_3.html#K1" target="_self">INT.Ring</a> <b> such that </b><br/><a NAME="E9:26"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="group_1.html#K10">*</a> <font color="Maroon">b</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c</font> &amp;  <a href="rlvect_1.html#K1">0.</a> <a href="int_3.html#K1" target="_self">INT.Ring</a>  <a href="int_3.html#R1" target="_self">&lt;=</a> <font color="Maroon">c</font> &amp; <font color="Maroon">c</font> <a href="int_3.html#NR3" target="_self">&lt;</a>  <a href="int_3.html#K2" target="_self">abs</a> <font color="Maroon">b</font> )
 <b>by </b><i>, <a class="txt" href="int_3.html#E3:26"><i><font color="Green">E22</font></i></a>, <a class="txt" href="int_3.html#E1:26"><i><font color="Green">E19</font></i></a></i>;<br/>
<b>thus </b><a NAME="E10:26"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="int_3.html#K4" target="_self">div</a> <font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <font color="Maroon">b</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="int_3.html#K5" target="_self">mod</a> <font color="Maroon">b</font></span>)</span>
 <b>by </b><i>, , <a class="txt" href="int_3.html#E3:26"><i><font color="Green">E22</font></i></a>, <a class="txt" href="int_3.html#E5:26"><i><font color="Green">E23</font></i></a>, <a class="txt" href="int_3.html#E7:26"><i><font color="Green">E24</font></i></a>, </i>;<br/>


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