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

<b>let </b><font color="Maroon">I</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I</font>, <font color="Maroon">B</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I</font>, <font color="Maroon">C</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I</font>;<br/><b>let </b><font color="Maroon">F</font> be    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pboole.html#D5">PBOOLE:def 5</a>,<a class="ref" href="pboole.html#D23">PBOOLE:def 23</a><br/>







<b>assume </b><a NAME="E1:9"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">I</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">J</font> = <font color="Maroon">I</font> as  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a>  ;<br/>
<b>reconsider </b><font color="Maroon">j</font> = <font color="Maroon">i</font> as    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">J</font> <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">A1</font> = <font color="Maroon">A</font>, <font color="Maroon">B1</font> = <font color="Maroon">B</font> as    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">J</font> ;<br/>
<b>reconsider </b><font color="Maroon">F1</font> = <font color="Maroon">F</font> as    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">A1</font>,<font color="Maroon">B1</font> ;<br/>
<a NAME="E6:9"/>
<span class="p1">(<span class="default"><font color="Maroon">F1</font> <a href="msualg_3.html#K1">.</a> <font color="Maroon">j</font></span>)</span> <a href="relset_1.html#K11">"</a> <span class="p1">(<span class="default"><font color="Maroon">C</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">j</font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">j</font>
 
;<br/>
<b>hence </b><a NAME="E7:9"/>
<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="equation.html#K1" target="_self">""</a> <font color="Maroon">C</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
 <b>by </b><i/>;<br/>


</div>
