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<b>let </b><font color="Maroon" title="c1">b</font>, <font color="Maroon" title="c2">a</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c3">k</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>;<br/>





<b>assume </b><a NAME="E1:30"/><i><font color="Green" title="E28">A1</font></i>: 
( <font color="Maroon" title="c1">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0 &amp; <font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">b</font> )
 ;<br/>

<a NAME="E2:30"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="int_1.html#R2" title="INT_1:pred.2">divides</a> <font color="Maroon" title="c1">b</font>
 
<b>by </b><i><a class="ref" href="int_1.html#D9" title="INT_1:def.9">INT_1:def 9</a></i>;<br/>
<a NAME="E3:30"/><b>then </b><i><font color="Green" title="E29">A2</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Maroon" title="c1">b</font>
 
<b>by </b><i><a class="txt" href="wsierp_1.html#E12"><i><font color="Green" title="E7">Lm4</font></i></a></i>;<br/>
<a NAME="E4:30"/><i><font color="Green" title="E30">A3</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 
<b>by </b><i><a class="txt" href="wsierp_1.html#E1:30"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/>
<a NAME="E5:30"/><b>then </b>
<font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">b</font> <a href="real_1.html#K6" title="REAL_1:func.6">/</a> <font color="Maroon" title="c2">a</font>
 
<b>by </b><i><a class="txt" href="wsierp_1.html#E1:30"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="xcmplx_1.html#T90" title="XCMPLX_1:th.90">XCMPLX_1:90</a></i>;<br/>
<b>hence </b><a NAME="E6:30"/>
<font color="Maroon" title="c3">k</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 <b>by </b><i><a class="txt" href="wsierp_1.html#E3:30"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="wsierp_1.html#E4:30"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="wsierp_1.html#E32"><i><font color="Green" title="E26">Lm11</font></i></a></i>;<br/>


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