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

<a NAME="E1:49_1_1"/>
 <a href="pboole.html#K1" title="PBOOLE:func.1">[0]</a> <font color="Maroon" title="c1">I</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a>  <a href="mssubfam.html#K3" title="MSSUBFAM:func.3">bool</a> <font color="Maroon" title="c2">M</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T49" title="PBOOLE:th.49">PBOOLE:49</a></i>;<br/>
<a NAME="E2:49_1_1"/><b>then </b>
 <a href="pboole.html#K1" title="PBOOLE:func.1">[0]</a> <font color="Maroon" title="c1">I</font> is    <a href="pboole.html#M4" title="PBOOLE:mode.4">ManySortedSubset</a> of  <a href="mssubfam.html#K3" title="MSSUBFAM:func.3">bool</a> <font color="Maroon" title="c2">M</font>
 
<b>by </b><i><a class="ref" href="pboole.html#D23" title="PBOOLE:def.23">PBOOLE:def 23</a></i>;<br/>
<b>hence </b><a NAME="E3:49_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="mssubfam.html#NM1" title="MSSUBFAM:NM.1">MSSubsetFamily</a> of <font color="Maroon" title="c2">M</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="relat_1.html#V3" title="RELAT_1:attr.3">empty-yielding</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="finset_1.html#V2" title="FINSET_1:attr.2">locally-finite</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
