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

<b>let </b><font color="Maroon" title="c1">CNS1</font>, <font color="Maroon" title="c2">CNS2</font> be   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c3">X</font>, <font color="Maroon" title="c4">X1</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c5">f1</font>, <font color="Maroon" title="c6">f2</font> be   <a href="struct_0.html#NM10" title="STRUCT_0:NM.10">PartFunc</a> of <font color="Maroon" title="c1">CNS1</font>,<font color="Maroon" title="c2">CNS2</font>;<br/>









<b>assume </b><a NAME="E1:110"/>
( <font color="Maroon" title="c5">f1</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c3">X</font> &amp; <font color="Maroon" title="c6">f2</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c4">X1</font> )
 ;<br/>

<a NAME="E2:110"/><b>then </b>
( <font color="Maroon" title="c5">f1</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c3">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c4">X1</font> &amp; <font color="Maroon" title="c6">f2</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c3">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c4">X1</font> )
 
<b>by </b><i><a class="ref" href="ncfcont1.html#T77" target="_self" title="NCFCONT1:th.77">Th77</a>, <a class="ref" href="xboole_1.html#T17" title="XBOOLE_1:th.17">XBOOLE_1:17</a></i>;<br/>
<b>hence </b><a NAME="E3:110"/>
( <font color="Maroon" title="c5">f1</font> <a href="vfunct_2.html#K1" title="VFUNCT_2:func.1">+</a> <font color="Maroon" title="c6">f2</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c3">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c4">X1</font> &amp; <font color="Maroon" title="c5">f1</font> <a href="vfunct_2.html#K2" title="VFUNCT_2:func.2">-</a> <font color="Maroon" title="c6">f2</font> <a href="ncfcont1.html#R7" title="NCFCONT1:pred.7">is_continuous_on</a> <font color="Maroon" title="c3">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c4">X1</font> )
 <b>by </b><i><a class="ref" href="ncfcont1.html#T83" target="_self" title="NCFCONT1:th.83">Th83</a></i>;<br/>


</div>
