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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">n</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 implies <font color="Maroon" title="c1">n</font> <a href="power.html#K2" title="POWER:func.2">-root</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 )</span><br/>

<b>assume </b><a NAME="E1:8"/><i><font color="Green" title="E6">A1</font></i>: 
<font color="Maroon" title="c1">n</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">n</font> <a href="power.html#K2" title="POWER:func.2">-root</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</span><br/>

<b>hence </b><font color="Maroon" title="c1">n</font> <a href="power.html#K2" title="POWER:func.2">-root</a> 1 = 
<font color="Maroon" title="c1">n</font> <a href="prepower.html#K3" title="PREPOWER:func.3">-Root</a> 1
<b>by </b><i><a class="ref" href="power.html#D1" target="_self" title="POWER:def.1">Def1</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="#E1:8"><i><font color="Green" title="E6">A1</font></i></a>, <a class="ref" href="prepower.html#T29" title="PREPOWER:th.29">PREPOWER:29</a></i>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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