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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="E1:1"/><i><font color="Green">E2</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="power.html#K3">to_power</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<b>assume </b><a NAME="E2:1"/><i><font color="Green">E3</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/>

<a NAME="E3:1"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="txt" href="fib_num3.html#E1:1"><i><font color="Green">E2</font></i></a>, <a class="ref" href="power.html#T48">POWER:48</a></i>;<br/>
<b>hence </b><a NAME="E4:1"/>
contradiction
 <b>by </b><i><a class="txt" href="fib_num3.html#E2:1"><i><font color="Green">E3</font></i></a>, <a class="ref" href="prepower.html#T12">PREPOWER:12</a></i>;<br/>


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