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

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

<b>assume </b><a NAME="E1:11"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">c</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 1
 ;<br/>

<a NAME="E2:11"/><b>then </b><i><font color="Green">E45</font></i>: 
<font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
;<br/>
<a NAME="E3:11"/>
1 <a href="int_1.html#K5">div</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i>, <a class="ref" href="pre_ff.html#T4">PRE_FF:4</a></i>;<br/>
<b>then </b>1 <a href="int_1.html#K6">mod</a> <font color="Maroon">c</font> = 
1 <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default">0 <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">c</font></span>)</span>
<b>by </b><i>, <a class="ref" href="int_1.html#D8">INT_1:def 8</a></i>
<br/>.= 
1

;<br/>
<b>hence </b><a NAME="E5:11"/>
1 <a href="int_1.html#K6">mod</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> 1
 ;<br/>


</div>
