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

<b>let </b><font color="Maroon">C</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">SC</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">d</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">D</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:39"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">SC</font> <a href="partfun2.html#K4" target="_self">--&gt;</a> <font color="Maroon">d</font> is <a href="partfun1.html#V1">total</a>
 <b>and </b><br/><a NAME="E2:39"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">SC</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<a NAME="E3:39"/>
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">SC</font> <a href="partfun2.html#K4" target="_self">--&gt;</a> <font color="Maroon">d</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">C</font>
 
<b>by </b><i>, <a class="ref" href="partfun1.html#D4">PARTFUN1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E4:39"/>
contradiction
 <b>by </b><i>, <a class="ref" href="funcop_1.html#T16">FUNCOP_1:16</a></i>;<br/>


</div>
