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<b>let </b><font color="Maroon">x0</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">f1</font> be   <a href="partfun1.html#NM1">PartFunc</a> of  <a href="numbers.html#K1">REAL</a> , <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">f2</font> be   <a href="partfun1.html#NM1">PartFunc</a> of  <a href="numbers.html#K1">REAL</a> , <a href="numbers.html#K1">REAL</a> ;<br/>





<b>assume </b><a NAME="E1:11"/>
( <font color="Maroon">f1</font> <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font> &amp; <font color="Maroon">f1</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x0</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">f2</font> <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font> )
 ;<br/>

<a NAME="E2:11"/><b>then </b>
( <font color="Maroon">f1</font> <a href="rfunct_1.html#K4">^</a>  <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font> &amp; <font color="Maroon">f2</font> <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:11"/><b>then </b>
<font color="Maroon">f2</font> <a href="seq_1.html#K8">(#)</a> <span class="p1">(<span class="default"><font color="Maroon">f1</font> <a href="rfunct_1.html#K4">^</a> </span>)</span> <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:11"/>
<font color="Maroon">f2</font> <a href="rfunct_1.html#K2">/</a> <font color="Maroon">f1</font> <a href="fcont_1.html#R1" target="_self">is_continuous_in</a> <font color="Maroon">x0</font>
 <b>by </b><i><a class="ref" href="rfunct_1.html#T47">RFUNCT_1:47</a></i>;<br/>


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