<?xml version="1.0"?>
<div class="add">

<a NAME="E1:36_1_1"/><i><font color="Green" title="E27">A1</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="xxreal_0.html#D7" title="XXREAL_0:def.7">XXREAL_0:def 7</a></i>;<br/>
<b>assume </b><a NAME="E2:36_1_1"/><i><font color="Green" title="E28">A2</font></i>: 
<font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> 0
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="xxreal_0.html#D7" title="XXREAL_0:def.7">XXREAL_0:def 7</a><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:36_1_1_1"/>
( <span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 or <span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 )
 </span><b>by </b><i><a class="txt" href="xreal_0.html#E1:36_1_1"><i><font color="Green" title="E27">A1</font></i></a>, <a class="txt" href="xreal_0.html#E5"><i><font color="Green" title="E5">Lm4</font></i></a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1_1"><b>suppose </b></a><a NAME="E1:36_1_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/><div class="add"><b>hence </b><a NAME="E2:36_1_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:36_1_1"><i><font color="Green" title="E28">A2</font></i></a>, <a class="txt" href="xreal_0.html#E32"><i><font color="Green" title="E26">Lm25</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1_2"><b>suppose </b></a><a NAME="E1:36_1_1_1_2"/><i><font color="Green" title="E29">A3</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:36_1_1_1_2"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c8">r</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:36_1_1"><i><font color="Green" title="E28">A2</font></i></a>, <a class="ref" href="xcmplx_0.html#D7" title="XCMPLX_0:def.7">XCMPLX_0:def 7</a></i>;<br/><b>hence </b><a NAME="E3:36_1_1_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="xreal_0.html#E2:36_1_1"><i><font color="Green" title="E28">A2</font></i></a>, <a class="txt" href="xreal_0.html#E1:36_1_1_1_2"><i><font color="Green" title="E29">A3</font></i></a>, <a class="txt" href="xreal_0.html#E12"><i><font color="Green" title="E9">Lm8</font></i></a>, <a class="txt" href="xreal_0.html#E29"><i><font color="Green" title="E23">Lm22</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
