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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="62_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:62_1"/>
<font color="Maroon">r</font> is  not   <a href="int_1.html#NM1">Integer</a>
 ;<br/><a NAME="E2:62_1"/><b>then </b>
( <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> &amp; <font color="Maroon">r</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <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> )
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:62_1"/>
<span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <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>
 <b>by </b><i><a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:62"/>
( <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <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> 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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