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

<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ] <b>means </b>( $1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">X</font> &amp; <font color="Maroon" title="c3">B1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> $1 );<br/>
<b>set </b><font color="Maroon" title="c4">LB</font> = <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span> ;<br/>
<b>consider </b><font color="Maroon" title="c5">B3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font><b> such that </b><br/><a NAME="E2:17_1_1"/><i><font color="Green" title="E16">A3</font></i>: 
<font color="Maroon" title="c5">B3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span> 
 <b>by </b><i><a class="txt" href="card_lar.html#E1:17"><i><font color="Green" title="E14">A1</font></i></a>, <a class="txt" href="card_lar.html#E2:17"><i><font color="Green" title="E15">A2</font></i></a>, <a class="ref" href="card_lar.html#T9" target="_self" title="CARD_LAR:th.9">Th9</a></i>;<br/>
<a NAME="E3:17_1_1"/><i><font color="Green" title="E17">A4</font></i>: 
 <a href="ordinal2.html#K2" title="ORDINAL2:func.2">inf</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span> 
 
<b>by </b><i><a class="txt" href="card_lar.html#E2:17_1_1"><i><font color="Green" title="E16">A3</font></i></a>, <a class="ref" href="ordinal2.html#T25" title="ORDINAL2:th.25">ORDINAL2:25</a></i>;<br/>
<a NAME="E4:17_1_1"/>
<font color="Maroon">S<sub>1</sub></font>[ <a href="ordinal2.html#K2" title="ORDINAL2:func.2">inf</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span> ]
 
<b>from </b><i><a class="ref" href="card_fil.html#S1" title="CARD_FIL:sch.1">CARD_FIL:sch 1</a>(<a class="txt" href="card_lar.html#E3:17_1_1"><i><font color="Green" title="E17">A4</font></i></a>);<br/></i>
<b>hence </b><a NAME="E5:17_1_1"/>
 <a href="ordinal2.html#K2" title="ORDINAL2:func.2">inf</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B2</font> where <font color="Olive" title="b1">B2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">B2</font>] </span>}</span>  is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X</font>
 ;<br/>


</div>
