<?xml version="1.0"?>
<div><div><a NAME="S1"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: FRAENKEL:sch 1</font></span><br/></a><span class="lab"><font color="Green" title="E1">Fraenkel59</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> , <font color="Maroon">F<sub>2</sub></font>(   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ) <span class="kw">-&gt; </span>   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> , <font color="Maroon">P<sub>1</sub></font>[   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ], <font color="Maroon">P<sub>2</sub></font>[   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ] } :<br/><div class="add"><a NAME="E2:1"/>
<span class="p1"> { <span class="default"> <font color="Maroon">F<sub>2</sub></font>(<font color="Olive" title="b1">v</font>) where <font color="Olive" title="b1">v</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() : <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">v</font>] </span> } </span>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"> { <span class="default"> <font color="Maroon">F<sub>2</sub></font>(<font color="Olive" title="b1">u</font>) where <font color="Olive" title="b1">u</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() : <font color="Maroon">P<sub>2</sub></font>[<font color="Olive" title="b1">u</font>] </span> } </span> 
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:1"/><span class="lab"><font color="Green" title="E1">A1</font></span>: 
 for <font color="Olive" title="b1">v</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">v</font>] holds <br/><font color="Maroon">P<sub>2</sub></font>[<font color="Olive" title="b1">v</font>]
 </div></div></div>
