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<b>let </b><font color="Maroon" title="c1">c</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>;<br/>

<b>assume </b><a NAME="E1:11"/><i><font color="Green" title="E10">A1</font></i>: 
<font color="Maroon" title="c1">c</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 ;<br/>

<a NAME="E2:11"/><b>then </b><i><font color="Green" title="E11">A2</font></i>: 
<font color="Maroon" title="c1">c</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 
;<br/>
<a NAME="E3:11"/>
1 <a href="int_1.html#K5" title="INT_1:func.5">div</a> <font color="Maroon" title="c1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 
<b>by </b><i><a class="txt" href="pepin.html#E1:11"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="pre_ff.html#T4" title="PRE_FF:th.4">PRE_FF:4</a></i>;<br/>
<b>then </b>1 <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <font color="Maroon" title="c1">c</font> = 
1 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default">0 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c1">c</font></span>)</span>
<b>by </b><i><a class="txt" href="pepin.html#E2:11"><i><font color="Green" title="E11">A2</font></i></a>, <a class="ref" href="int_1.html#D8" title="INT_1:def.8">INT_1:def 8</a></i>
<br/>.= 
1

;<br/>
<b>hence </b><a NAME="E5:11"/>
1 <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <font color="Maroon" title="c1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/>


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