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<b>let </b><font color="Maroon" title="c2">p</font> be   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a>;<br/>

<b>assume </b><a NAME="E1:39"/>
<font color="Maroon" title="c2">p</font> is   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c3">m</font> = <font color="Maroon" title="c2">p</font> as   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> ;<br/>
<a NAME="E3:39"/>
<font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> 1
 
;<br/>
<a NAME="E4:39"/><b>then </b><i><font color="Green" title="E25">A1</font></i>: 
 <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c2">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1
 
<b>by </b><i><a class="ref" href="rat_1.html#D3" target="_self" title="RAT_1:def.3">Def3</a></i>;<br/>
<a NAME="E5:39"/>
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c2">p</font>
 
<b>by </b><i><a class="ref" href="rat_1.html#T29" target="_self" title="RAT_1:th.29">Th29</a></i>;<br/>
<b>hence </b><a NAME="E6:39"/><i><font color="Green" title="E26">A2</font></i>: 
 <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="txt" href="rat_1.html#E4:39"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="xxreal_0.html#T1" title="XXREAL_0:th.1">XXREAL_0:1</a></i>;<br/>

<b>thus </b><a NAME="E7:39"/>
 <a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="txt" href="rat_1.html#E6:39"><i><font color="Green" title="E26">A2</font></i></a></i>;<br/>


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