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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>



<b>assume </b><a NAME="E1:38"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 &amp; <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 )
 ;<br/>

<a NAME="E2:38"/>
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K5" target="_self">-Root</a> 1
 
<b>by </b><i><a class="txt" href="prepower.html#E1:38"><i><font color="Green">E31</font></i></a>, <a class="ref" href="prepower.html#T36" target="_self">Th36</a></i>;<br/>
<b>hence </b><a NAME="E3:38"/>
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 <b>by </b><i><a class="txt" href="prepower.html#E1:38"><i><font color="Green">E31</font></i></a>, <a class="ref" href="prepower.html#T29" target="_self">Th29</a></i>;<br/>

<a NAME="E4:38"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="prepower.html#E1:38"><i><font color="Green">E31</font></i></a>, <a class="ref" href="prepower.html#T20" target="_self">Th20</a></i>;<br/>
<a NAME="E5:38"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="prepower.html#E1:38"><i><font color="Green">E31</font></i></a>, <a class="ref" href="prepower.html#T36" target="_self">Th36</a></i>;<br/>
<b>hence </b><a NAME="E6:38"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="prepower.html#E1:38"><i><font color="Green">E31</font></i></a>, <a class="txt" href="prepower.html#E33"><i><font color="Green">Lemma20</font></i></a></i>;<br/>


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