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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">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<b>assume </b><a NAME="E1:22"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">a</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 &amp; <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;</a> 1 &amp; <font color="Maroon">n</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 )
 ;<br/>

<a NAME="E2:22"/><b>then </b>
( <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n</font> <a href="prepower.html#K4">-Root</a> <font color="Maroon">a</font> &amp; <font color="Maroon">n</font> <a href="prepower.html#K4">-Root</a> <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;</a> 1 )
 
<b>by </b><i><a class="ref" href="prepower.html#T39">PREPOWER:39</a></i>;<br/>
<b>hence </b><a NAME="E3:22"/>
( <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n</font> <a href="power.html#K1" target="_self">-root</a> <font color="Maroon">a</font> &amp; <font color="Maroon">n</font> <a href="power.html#K1" target="_self">-root</a> <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;</a> 1 )
 <b>by </b><i>, </i>;<br/>


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