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<b>let </b><font color="Maroon" title="c1">a</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/><b>let </b><font color="Maroon" title="c2">p</font> be   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a>;<br/>



<b>assume </b><a NAME="E1:48"/><i><font color="Green" title="E33">A1</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0
 ;<br/>

<b>hence </b><font color="Maroon" title="c1">a</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c2">p</font> = 
<font color="Maroon" title="c1">a</font> <a href="prepower.html#K12" title="PREPOWER:func.12">#R</a> <font color="Maroon" title="c2">p</font>
<b>by </b><i><a class="ref" href="power.html#D2" target="_self" title="POWER:def.2">Def2</a></i>
<br/>.= 
<font color="Maroon" title="c1">a</font> <a href="prepower.html#K8" title="PREPOWER:func.8">#Q</a> <font color="Maroon" title="c2">p</font>
<b>by </b><i><a class="txt" href="power.html#E1:48"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="prepower.html#T88" title="PREPOWER:th.88">PREPOWER:88</a></i>
;<br/><br/>


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