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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><i><font color="Green" title="E35">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="70_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:70_1"/>
<font color="Maroon" title="c1">r</font> is   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>
 ;<br/><a NAME="E2:70_1"/><b>then </b><i><font color="Green" title="E36">A2</font></i>: 
<font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="int_1.html#K1" title="INT_1:func.1">[\</a><span class="default"><font color="Maroon" title="c1">r</font></span><a href="int_1.html#K1" title="INT_1:func.1">/]</a></span>
 <b>by </b><i><a class="ref" href="int_1.html#T47" target="_self" title="INT_1:th.47">Th47</a></i>;<br/><b>thus </b><a NAME="E3:70_1"/>
 <a href="int_1.html#K4" title="INT_1:func.4">frac</a> <font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 <b>by </b><i><a class="txt" href="int_1.html#E2:70_1"><i><font color="Green" title="E36">A2</font></i></a></i>;<br/></div><b>end;</b></div>
<b>thus </b><a NAME="E2:70"/>
(  <a href="int_1.html#K4" title="INT_1:func.4">frac</a> <font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 iff <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="txt" href="int_1.html#E1:70"><i><font color="Green" title="E35">A1</font></i></a></i>;<br/>


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