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<span class="kw">let </span><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> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <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>  )</span><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:94_1"/>
<font color="Maroon" title="c1">r</font> is  not   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <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></span><br/><a NAME="E2:94_1"/><span class="kw">then </span>
 <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/><span class="kw">hence </span><a NAME="E3:94_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>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#T69" target="_self" title="INT_1:th.69">Th69</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E2:94"/>
(  <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>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#T71" target="_self" title="INT_1:th.71">Th71</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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