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<b>let </b><font color="Maroon" title="c2">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="valued_0.html#D10" title="VALUED_0:def.10">VALUED_0:def 10</a><br/>

<b>assume </b><a NAME="E1:177_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1"><a href="valued_1.html#K54" title="VALUED_1:func.54">|.</a><span class="default"><font color="Maroon" title="c1">f</font></span><a href="valued_1.html#K54" title="VALUED_1:func.54">.|</a></span>
 ;<br/>

<a NAME="E2:177_1_1"/><b>then </b>
<span class="p1"><a href="valued_1.html#K54" title="VALUED_1:func.54">|.</a><span class="default"><font color="Maroon" title="c1">f</font></span><a href="valued_1.html#K54" title="VALUED_1:func.54">.|</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="complex1.html#K17" title="COMPLEX1:func.17">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font></span>)</span></span><a href="complex1.html#K17" title="COMPLEX1:func.17">.|</a></span>
 
<b>by </b><i><a class="ref" href="valued_1.html#D11" target="_self" title="VALUED_1:def.11">Def11</a></i>;<br/>
<b>hence </b><a NAME="E3:177_1_1"/>
<span class="p1"><a href="valued_1.html#K54" title="VALUED_1:func.54">|.</a><span class="default"><font color="Maroon" title="c1">f</font></span><a href="valued_1.html#K54" title="VALUED_1:func.54">.|</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font> is <a href="rat_1.html#V1" title="RAT_1:attr.1">rational</a>
 ;<br/>


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