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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">x</font> <a href="prepower.html#K5" title="PREPOWER:func.5">#Z</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span><br/>

<font color="Maroon" title="c1">x</font> <a href="prepower.html#K5" title="PREPOWER:func.5">#Z</a> 2 = 
<font color="Maroon" title="c1">x</font> <a href="newton.html#K3" title="NEWTON:func.3">|^</a> 2
<span class="kw">by</span> <span class="lab"><a class="ref" href="prepower.html#T36" title="PREPOWER:th.36">PREPOWER:36</a></span>
<br/>.= 
<font color="Maroon" title="c1">x</font> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T81" title="NEWTON:th.81">NEWTON:81</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:1"/>
<font color="Maroon" title="c1">x</font> <a href="prepower.html#K5" title="PREPOWER:func.5">#Z</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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