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

<a NAME="E1:50_1_1"/>
 <a href="pboole.html#K1" title="PBOOLE:func.1">EmptyMS</a> <font color="Maroon" title="c1">I</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a>  <a href="mssubfam.html#K1" title="MSSUBFAM:func.1">bool</a> <font color="Maroon" title="c2">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T43" onmouseover="rs('pboole/T43')" onmouseout="rh()">PBOOLE:43</a></span>;<br/>
<a NAME="E2:50_1_1"/><span class="kw">then </span>
 <a href="pboole.html#K1" title="PBOOLE:func.1">EmptyMS</a> <font color="Maroon" title="c1">I</font> is    <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  <a href="mssubfam.html#K1" title="MSSUBFAM:func.1">bool</a> <font color="Maroon" title="c2">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#D18" onmouseover="rs('pboole/D18')" onmouseout="rh()">PBOOLE:def 18</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:50_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">V9</a>() &amp; <font color="Olive">b<sub>1</sub></font> is <a href="finset_1.html#V2" title="FINSET_1:attr.2">V39</a>() )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
