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<b>let </b><font color="Maroon">p</font> be   <a href="rat_1.html#NM1">Rational</a>;<br/>

<b>assume </b><a NAME="E1:40"/><i><font color="Green">E28</font></i>: 
(  <a href="rat_1.html#K2" target="_self">numerator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> or  <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> 1 )
 ;<br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="40_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:40_1"/>
(  <a href="rat_1.html#K2" target="_self">numerator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> or  <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> 1 )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="40_1_1"><b>suppose </b></a><a NAME="E1:40_1_1"/>
 <a href="rat_1.html#K2" target="_self">numerator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:40_1_1"/>
<font color="Maroon">p</font> is   <a href="int_1.html#NM1">Integer</a>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="40_1_2"><b>suppose </b></a><a NAME="E1:40_1_2"/>
 <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> 1
 ;<br/><div class="add"><a NAME="E2:40_1_2"/><b>then </b>
 <a href="rat_1.html#K2" target="_self">numerator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font>
 ;<br/><b>hence </b><a NAME="E3:40_1_2"/>
<font color="Maroon">p</font> is   <a href="int_1.html#NM1">Integer</a>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

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