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<b>let </b><font color="Maroon" title="c1">r</font> be  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">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" title="c1">r</font> is  not   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>
 ;<br/><a NAME="E2:71_1"/><b>then </b>
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="int_1.html#K4" title="INT_1:func.4">frac</a> <font color="Maroon" title="c1">r</font>
 ;<br/><b>hence </b><a NAME="E3:71_1"/>
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="int_1.html#K4" title="INT_1:func.4">frac</a> <font color="Maroon" title="c1">r</font>
 <b>by </b><i><a class="ref" href="int_1.html#T69" target="_self" title="INT_1:th.69">Th69</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:71"/>
(  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="int_1.html#K4" title="INT_1:func.4">frac</a> <font color="Maroon" title="c1">r</font> iff  not <font color="Maroon" title="c1">r</font> is <a href="int_1.html#V1" title="INT_1:attr.1">integer</a> )
 <b>by </b><i><a class="ref" href="int_1.html#T71" target="_self" title="INT_1:th.71">Th71</a></i>;<br/>


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