<?xml version="1.0"?>
<div class="add">

<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/>

<a NAME="E1:57"/>
( <font color="Maroon">r</font> is   <a href="int_1.html#NM1">Integer</a> implies <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K2" target="_self">\]</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_1"><b>proof </b></a><div class="add">

<a NAME="E1:57_1"/>
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> 1
 
<b>by </b><i><a class="ref" href="xreal_1.html#T8">XREAL_1:8</a></i>;<br/>
<b>hence </b><a NAME="E2:57_1"/>
( <font color="Maroon">r</font> is   <a href="int_1.html#NM1">Integer</a> implies <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K2" target="_self">\]</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font> )
 <b>by </b><i/>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:57"/>
( <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K2" target="_self">\]</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font> iff <font color="Maroon">r</font> is <a href="int_1.html#V1" target="_self">integer</a> )
 ;<br/>


</div>
