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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="nfcont_1.html#NM1">PartFunc</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/>









<b>assume </b><a NAME="E1:114"/><i><font color="Green">E88</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E2:114"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<a NAME="E3:114"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="ncfcont1.html#E1:114"><i><font color="Green">E88</font></i></a>, <a class="ref" href="ncfcont1.html#T79" target="_self">Th79</a></i>;<br/>
<b>hence </b><a NAME="E4:114"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="vfunct_2.html#K1">+</a> <font color="Maroon">c<sub>6</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="vfunct_2.html#K2">-</a> <font color="Maroon">c<sub>6</sub></font> <a href="ncfcont1.html#R9" target="_self">is_continuous_on</a> <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#K3">/\</a> <font color="Maroon">c<sub>4</sub></font> )
 <b>by </b><i><a class="ref" href="ncfcont1.html#T85" target="_self">Th85</a></i>;<br/>


</div>
