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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">f1</font>, <font color="Maroon" title="c3">f2</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="E1:73"/>
( <font color="Maroon" title="c2">f1</font> <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font> &amp; <font color="Maroon" title="c2">f1</font> <a href="relset_1.html#K11" title="RELSET_1:func.11">"</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c3">f2</font> <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font> )
 ;<br/>

<a NAME="E2:73"/><b>then </b>
( <font color="Maroon" title="c2">f1</font> <a href="cfunct_1.html#K2" title="CFUNCT_1:func.2">^</a>  <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font> &amp; <font color="Maroon" title="c3">f2</font> <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font> )
 
<b>by </b><i><a class="ref" href="cfcont_1.html#T69" target="_self" title="CFCONT_1:th.69">Th69</a></i>;<br/>
<a NAME="E3:73"/><b>then </b>
<font color="Maroon" title="c3">f2</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">f1</font> <a href="cfunct_1.html#K2" title="CFUNCT_1:func.2">^</a> </span>)</span> <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="ref" href="cfcont_1.html#T65" target="_self" title="CFCONT_1:th.65">Th65</a></i>;<br/>
<b>hence </b><a NAME="E4:73"/>
<font color="Maroon" title="c3">f2</font> <a href="cfunct_1.html#K1" title="CFUNCT_1:func.1">/</a> <font color="Maroon" title="c2">f1</font> <a href="cfcont_1.html#R2" title="CFCONT_1:pred.2">is_continuous_on</a> <font color="Maroon" title="c1">X</font>
 <b>by </b><i><a class="ref" href="cfunct_1.html#T51" title="CFUNCT_1:th.51">CFUNCT_1:51</a></i>;<br/>


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