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<a NAME="E1:35_1_1"/><i><font color="Green">E29</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a>  <a href="xxreal_0.html#R1">&lt;=</a> 0
 
<b>by </b><i><a class="ref" href="xxreal_0.html#D6">XXREAL_0:def 6</a></i>;<br/>
<b>assume </b><a NAME="E2:35_1_1"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="xxreal_0.html#D6">XXREAL_0:def 6</a><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="35_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:35_1_1_1"/>
( <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a>  <a href="hidden.html#R1">=</a> 0 or <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 )
 </span><b>by </b><i><a class="txt" href="xreal_0.html#E1:35_1_1"><i><font color="Green">E29</font></i></a>, <a class="txt" href="xreal_0.html#E7"><i><font color="Green">Lemma7</font></i></a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="35_1_1_1_1"><b>suppose </b></a><a NAME="E1:35_1_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a>  <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><b>hence </b><a NAME="E2:35_1_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:35_1_1"><i><font color="Green">E30</font></i></a>, <a class="txt" href="xreal_0.html#E34"><i><font color="Green">Lemma28</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="35_1_1_1_2"><b>suppose </b></a><a NAME="E1:35_1_1_1_2"/><i><font color="Green">E31</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 ;<br/><div class="add"><a NAME="E2:35_1_1_1_2"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="xcmplx_0.html#K5">"</a> </span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:35_1_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>;<br/><b>hence </b><a NAME="E3:35_1_1_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:35_1_1"><i><font color="Green">E30</font></i></a>, <a class="txt" href="xreal_0.html#E1:35_1_1_1_2"><i><font color="Green">E31</font></i></a>, <a class="txt" href="xreal_0.html#E14"><i><font color="Green">Lemma11</font></i></a>, <a class="txt" href="xreal_0.html#E31"><i><font color="Green">Lemma25</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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