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<b>let </b><font color="Maroon">x</font> be   <a href="real_1.html#NM1">Real</a>;<br/>

<b>assume </b><a NAME="E1:2"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">x</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>

<a NAME="E2:2"/><b>then </b><i><font color="Green">E36</font></i>: 
<font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p1">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="prepower.html#T95">PREPOWER:95</a></i>;<br/>
<font color="Maroon">x</font> = 
<font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span> <a href="real_1.html#K4">*</a> 2</span>)</span>
<b>by </b><i><a class="ref" href="prepower.html#T86">PREPOWER:86</a>, </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p2">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span></span>)</span> <a href="prepower.html#K13">#R</a> 2
<b>by </b><i><a class="ref" href="prepower.html#T105">PREPOWER:105</a>, </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p2">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span></span>)</span> <a href="prepower.html#K9">#Q</a> 2
<b>by </b><i>, <a class="ref" href="prepower.html#T88">PREPOWER:88</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p2">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span></span>)</span> <a href="power.html#K4">to_power</a> 2
<b>by </b><i>, <a class="ref" href="power.html#T51">POWER:51</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p2">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span></span>)</span> <a href="square_1.html#K5">^2</a> 
<b>by </b><i><a class="ref" href="power.html#T53">POWER:53</a></i>
;<br/>
<b>hence </b><a NAME="E4:2"/>
<font color="Maroon">x</font> <a href="prepower.html#K13">#R</a> <span class="p1">(<span class="default">1 <a href="real_1.html#K6">/</a> 2</span>)</span> <a href="hidden.html#R1">=</a>  <a href="square_1.html#K7">sqrt</a> <font color="Maroon">x</font>
 <b>by </b><i>, <a class="ref" href="square_1.html#D4">SQUARE_1:def 4</a>, </i>;<br/>


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