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<b>let </b><font color="Maroon">x</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:72"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">x</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 ;<br/>

<a NAME="E2:72"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K1">REAL</a> 
 
<b>by </b><i><a class="ref" href="xreal_0.html#D1">XREAL_0:def 1</a></i>;<br/>
<a NAME="E3:72"/><b>then </b><i><font color="Green">E30</font></i>: 
 <a href="complex1.html#K4" target="_self">Im</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i/>;<br/>
<a NAME="E4:72"/><i><font color="Green">E35</font></i>: 
 <a href="complex1.html#K3" target="_self">Re</a> <font color="Maroon">x</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="complex1.html#T17" target="_self">Th17</a>, <a class="txt" href="complex1.html#E32"><i><font color="Green">Lemma55</font></i></a>, </i>;<br/>
<span class="p1"><a href="complex1.html#K17" target="_self">|.</a><span class="default"><font color="Maroon">x</font></span><a href="complex1.html#K17" target="_self">.|</a></span> = 
 <a href="complex1.html#K3" target="_self">Re</a> <font color="Maroon">x</font>
<b>by </b><i>, , <a class="ref" href="square_1.html#T89">SQUARE_1:89</a></i>
<br/>.= 
<font color="Maroon">x</font>
<b>by </b><i><a class="txt" href="complex1.html#E32"><i><font color="Green">Lemma55</font></i></a>, </i>
;<br/>
<b>hence </b><a NAME="E6:72"/>
<span class="p1"><a href="complex1.html#K17" target="_self">|.</a><span class="default"><font color="Maroon">x</font></span><a href="complex1.html#K17" target="_self">.|</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 ;<br/>


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