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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/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="42_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:42_1"/>
<font color="Maroon" title="c2">p</font> is  not   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>
 ;<br/><a NAME="E2:42_1"/><b>then </b><i><font color="Green" title="E26">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="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 1
 <b>by </b><i><a class="ref" href="rat_1.html#T41" target="_self" title="RAT_1:th.41">Th41</a></i>;<br/><a NAME="E3:42_1"/>
 <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#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1
 <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="E4:42_1"/>
 <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#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 <b>by </b><i><a class="txt" href="rat_1.html#E2:42_1"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:42"/>
( 1 <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c2">p</font> iff  not <font color="Maroon" title="c2">p</font> is <a href="int_1.html#V1" title="INT_1:attr.1">integer</a> )
 <b>by </b><i><a class="ref" href="rat_1.html#T40" target="_self" title="RAT_1:th.40">Th40</a></i>;<br/>


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