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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="rat_1.html#NM1">Rational</a>;<br/>

<a NAME="E1:43"/><i><font color="Green">E27</font></i>: 
<span class="p1">(<span class="default"><a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K2">"</a>  <a href="xxreal_0.html#R1">&lt;=</a> 1
 
<b>by </b><i><a class="ref" href="rat_1.html#T34" target="_self">Th34</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:43_1"/>
<font color="Maroon">c<sub>2</sub></font> is  not   <a href="int_1.html#NM1">Integer</a>
 ;<br/><a NAME="E2:43_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K2">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 1
 <b>by </b><i><a class="txt" href="rat_1.html#E58"><i><font color="Green">Lemma26</font></i></a>, <a class="ref" href="rat_1.html#T41" target="_self">Th41</a></i>;<br/><b>hence </b><a NAME="E3:43_1"/>
<span class="p1">(<span class="default"><a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K2">"</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1
 <b>by </b><i><a class="txt" href="rat_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="ref" href="real_1.html#D5">REAL_1:def 5</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:43"/>
( 1 <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <span class="p1">(<span class="default"><a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K2">"</a>  iff  not <font color="Maroon">c<sub>2</sub></font> is <a href="int_1.html#V1">integer</a> )
 <b>by </b><i><a class="txt" href="rat_1.html#E58"><i><font color="Green">Lemma26</font></i></a>, <a class="ref" href="rat_1.html#T40" target="_self">Th40</a></i>;<br/>


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