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<b>let </b><font color="Maroon" title="c1">l</font>, <font color="Maroon" title="c2">j</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>assume </b><b>that </b><br/><a NAME="E1:60"/><i><font color="Green" title="E40">A1</font></i>: 
<font color="Maroon" title="c2">j</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 1
 <b>and </b><br/><a NAME="E2:60"/><i><font color="Green" title="E41">A2</font></i>: 
<font color="Maroon" title="c2">j</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 <b>and </b><br/><a NAME="E3:60"/><i><font color="Green" title="E42">A3</font></i>: 
<font color="Maroon" title="c2">j</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">l</font> <a href="newton.html#K12" title="NEWTON:func.12">!</a> </span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 ;<br/>

<a NAME="E4:60"/>
not <font color="Maroon" title="c2">j</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Maroon" title="c1">l</font> <a href="newton.html#K12" title="NEWTON:func.12">!</a> 
 
<b>by </b><i><a class="txt" href="newton.html#E1:60"><i><font color="Green" title="E40">A1</font></i></a>, <a class="txt" href="newton.html#E3:60"><i><font color="Green" title="E42">A3</font></i></a>, <a class="ref" href="newton.html#T51" target="_self" title="NEWTON:th.51">Th51</a></i>;<br/>
<b>hence </b><a NAME="E5:60"/>
<font color="Maroon" title="c2">j</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c1">l</font>
 <b>by </b><i><a class="txt" href="newton.html#E2:60"><i><font color="Green" title="E41">A2</font></i></a>, <a class="ref" href="newton.html#T54" target="_self" title="NEWTON:th.54">Th54</a></i>;<br/>


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