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

<b>let </b><font color="Maroon">X</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">f</font> be   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">X</font>, <a href="supinf_1.html#K3">REAL</a> ;<br/><b>let </b><font color="Maroon">r</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/>







<a NAME="E1:12"/>
(  ex <font color="Olive">y</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Olive">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> &amp; <font color="Maroon">r</font> <a href="hidden.html#R1">=</a> <font color="Olive">y</font> ) iff  ex <font color="Olive">y</font> being  <a href="supinf_1.html#NM3">R_eal</a> st <br/>( <font color="Olive">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> &amp;  <a href="measure6.html#K1">R_EAL</a> <font color="Maroon">r</font> <a href="hidden.html#R1">=</a> <font color="Olive">y</font> ) )
 
;<br/>
<b>hence </b><a NAME="E2:12"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="mesfunc6.html#K5" target="_self">eq_dom</a> <font color="Maroon">f</font>,<font color="Maroon">r</font> iff ( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">f</font> &amp;  ex <font color="Olive">y</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Olive">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> &amp; <font color="Maroon">r</font> <a href="hidden.html#R1">=</a> <font color="Olive">y</font> ) ) )
 <b>by </b><i><a class="ref" href="mesfunc1.html#D16">MESFUNC1:def 16</a></i>;<br/>


</div>
