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<b>let </b><font color="Maroon">a</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">p</font> be   <a href="rat_1.html#NM1">Rational</a>;<br/>



<b>assume </b><a NAME="E1:63"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> 1 )
 ;<br/>

<b>then reconsider </b><font color="Maroon">i</font> = <font color="Maroon">p</font> as   <a href="int_1.html#NM1">Integer</a> ;<br/>
<a NAME="E3:63"/>
(  <a href="rat_1.html#K2">numerator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> &amp;  <a href="rat_1.html#K1">denominator</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="txt" href="prepower.html#E20"><i><font color="Green">Lemma49</font></i></a>, <a class="ref" href="rat_1.html#T40">RAT_1:40</a></i>;<br/>
<b>hence </b><font color="Maroon">a</font> <a href="prepower.html#K8" target="_self">#Q</a> <font color="Maroon">p</font> = 
1 <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">a</font>
<b>by </b><i><a class="txt" href="prepower.html#E20"><i><font color="Green">Lemma49</font></i></a>, </i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="txt" href="prepower.html#E20"><i><font color="Green">Lemma49</font></i></a>, </i>
;<br/><br/>


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