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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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#K3" title="PREPOWER:func.3">#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#K1" title="SQUARE_1:func.1">^2</a> </span><br/>

<font color="Maroon" title="c1">x</font> <a href="prepower.html#K3" title="PREPOWER:func.3">#Z</a> 2 = 
<font color="Maroon" title="c1">x</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> 2
<span class="kw">by</span> <span class="lab"><a class="ref" href="prepower.html#T36" onmouseover="rs('prepower/T36')" onmouseout="rh()">PREPOWER:36</a></span>
<br/>.= 
<font color="Maroon" title="c1">x</font> <a href="square_1.html#K1" title="SQUARE_1:func.1">^2</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T81" onmouseover="rs('newton/T81')" onmouseout="rh()">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#K3" title="PREPOWER:func.3">#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#K1" title="SQUARE_1:func.1">^2</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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