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<b>let </b><font color="Maroon">r</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="71_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:71_1"/>
<font color="Maroon">r</font> is  not   <a href="int_1.html#NM1">Integer</a>
 ;<br/><a NAME="E2:71_1"/><b>then </b>
0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="int_1.html#K4" target="_self">frac</a> <font color="Maroon">r</font>
 ;<br/><b>hence </b><a NAME="E3:71_1"/>
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="int_1.html#K4" target="_self">frac</a> <font color="Maroon">r</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:71"/>
( 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="int_1.html#K4" target="_self">frac</a> <font color="Maroon">r</font> iff  not <font color="Maroon">r</font> is <a href="int_1.html#V1" target="_self">integer</a> )
 <b>by </b><i/>;<br/>


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