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<b>consider </b><font color="Maroon">li</font> being   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">ri</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E2:31_1_1"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">li</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; <font color="Maroon">ri</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; <font color="Maroon">li</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">ri</font> &amp; ( for <font color="Olive">xi</font> being  <a href="real_1.html#NM1">Real</a>  st <font color="Olive">xi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; <font color="Maroon">li</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Olive">xi</font> holds <br/> not <font color="Olive">xi</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">ri</font> ) )
 <b>by </b><i/>;<br/>
<b>take </b>
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">li</font>,<font color="Maroon">ri</font></span><a href="domain_1.html#K1">]</a></span>
;<br/>

<b>take </b>
<font color="Maroon">li</font>
;<br/>

<b>take </b>
<font color="Maroon">ri</font>
;<br/>

<b>thus </b><a NAME="E3:31_1_1"/>
( <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">li</font>,<font color="Maroon">ri</font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">li</font>,<font color="Maroon">ri</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">li</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; <font color="Maroon">ri</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; ( ( <font color="Maroon">li</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">ri</font> &amp; ( for <font color="Olive">xi</font> being  <a href="real_1.html#NM1">Real</a>  st <font color="Olive">xi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> &amp; <font color="Maroon">li</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Olive">xi</font> holds <br/> not <font color="Olive">xi</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">ri</font> ) ) or ( <font color="Maroon">ri</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">li</font> &amp; ( for <font color="Olive">xi</font> being  <a href="real_1.html#NM1">Real</a>  st <font color="Olive">xi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Gi</font> holds <br/>( not <font color="Maroon">li</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Olive">xi</font> &amp; not <font color="Olive">xi</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">ri</font> ) ) ) ) )
 <b>by </b><i/>;<br/>


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