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<b>let </b><font color="Maroon" title="c1">x0</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon" title="c2">f</font> be   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> , <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ;<br/>



<b>assume </b><a NAME="E1:58"/><i><font color="Green" title="E38">A1</font></i>: 
<font color="Maroon" title="c2">f</font> <a href="cfcont_1.html#R1" title="CFCONT_1:pred.1">is_continuous_in</a> <font color="Maroon" title="c1">x0</font>
 ;<br/>

<a NAME="E2:58"/>
 <a href="valued_1.html#K31" title="VALUED_1:func.31">-</a> <font color="Maroon" title="c2">f</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="complex1.html#K10" title="COMPLEX1:func.10">-</a> <a href="complex1.html#K6" title="COMPLEX1:func.6">1r</a> </span>)</span> <a href="valued_1.html#K25" title="VALUED_1:func.25">(#)</a> <font color="Maroon" title="c2">f</font>
 
<b>by </b><i><a class="ref" href="cfunct_1.html#T40" title="CFUNCT_1:th.40">CFUNCT_1:40</a></i>;<br/>
<b>hence </b><a NAME="E3:58"/>
 <a href="valued_1.html#K31" title="VALUED_1:func.31">-</a> <font color="Maroon" title="c2">f</font> <a href="cfcont_1.html#R1" title="CFCONT_1:pred.1">is_continuous_in</a> <font color="Maroon" title="c1">x0</font>
 <b>by </b><i><a class="txt" href="cfcont_1.html#E1:58"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="cfcont_1.html#T56" target="_self" title="CFCONT_1:th.56">Th56</a></i>;<br/>


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