<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">j1</font> be   <a href="int_1.html#NM1">Integer</a>;<br/>

<b>consider </b><font color="Maroon">k</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E2:30"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">j1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> or <font color="Maroon">j1</font> <a href="hidden.html#R1">=</a>  <a href="binop_2.html#K7">-</a> <font color="Maroon">k</font> )
 <b>by </b><i><a class="ref" href="int_1.html#T8">INT_1:8</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:30_1"/>
( <font color="Maroon">j1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> or <font color="Maroon">j1</font> <a href="hidden.html#R1">=</a>  <a href="binop_2.html#K7">-</a> <font color="Maroon">k</font> )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1_1"><b>suppose </b></a><a NAME="E1:30_1_1"/>
<font color="Maroon">j1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:30_1_1"/>
<font color="Maroon">j1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="gr_cy_1.html#K6" target="_self">@'</a> 1</span>)</span> <a href="group_1.html#K6">|^</a> <font color="Maroon">j1</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1_2"><b>suppose </b></a><a NAME="E1:30_1_2"/><i><font color="Green">E47</font></i>: 
<font color="Maroon">j1</font> <a href="hidden.html#R1">=</a>  <a href="binop_2.html#K7">-</a> <font color="Maroon">k</font>
 ;<br/><div class="add"><b>reconsider </b><font color="Maroon">k'</font> = <font color="Maroon">k</font> as   <a href="int_1.html#NM1">Integer</a> ;<br/><b>reconsider </b><font color="Maroon">k'</font> = <font color="Maroon">k'</font> as   <a href="struct_0.html#NM1">Element</a> of <a href="gr_cy_1.html#K3" target="_self">INT.Group</a>  <b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/><span class="p1">(<span class="default"><a href="gr_cy_1.html#K6" target="_self">@'</a> 1</span>)</span> <a href="group_1.html#K6">|^</a> <font color="Maroon">j1</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K6" target="_self">@'</a> 1</span>)</span> <a href="group_1.html#K6">|^</a> <font color="Maroon">k</font></span>)</span> <a href="group_1.html#K3">"</a> 
<b>by </b><i>, <a class="ref" href="group_1.html#T71">GROUP_1:71</a></i>
<br/>.= 
<font color="Maroon">k'</font> <a href="group_1.html#K3">"</a> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">j1</font>
<b>by </b><i>, </i>
;<br/><b>hence </b><a NAME="E5:30_1_2"/>
<font color="Maroon">j1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="gr_cy_1.html#K6" target="_self">@'</a> 1</span>)</span> <a href="group_1.html#K6">|^</a> <font color="Maroon">j1</font>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
