<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">CNS1</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">CNS2</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="nfcont_1.html#NM1">PartFunc</a> of <font color="Maroon">CNS1</font>,<font color="Maroon">CNS2</font>;<br/><b>let </b><font color="Maroon">Y</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">CNS1</font>;<br/>







<b>assume </b><a NAME="E1:37"/><i><font color="Green">E46</font></i>: 
( <font color="Maroon">Y</font> <a href="tarski.html#R1">c=</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">f</font> &amp; <font color="Maroon">Y</font> is <a href="ncfcont1.html#V1">compact</a> &amp; <font color="Maroon">f</font> <a href="ncfcont2.html#R1" target="_self">is_uniformly_continuous_on</a> <font color="Maroon">Y</font> )
 ;<br/>

<a NAME="E2:37"/><b>then </b>
<font color="Maroon">f</font> <a href="ncfcont1.html#R7">is_continuous_on</a> <font color="Maroon">Y</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:37"/>
<font color="Maroon">f</font> <a href="relset_1.html#K10">.:</a> <font color="Maroon">Y</font> is <a href="ncfcont1.html#V1">compact</a>
 <b>by </b><i>, <a class="ref" href="ncfcont1.html#T104">NCFCONT1:104</a></i>;<br/>


</div>
