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

<b>let </b><font color="Maroon" title="c2">F</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Maroon" title="c1">X</font>;<br/>

<b>assume </b><a NAME="E1:58_1_1"/>
( <font color="Maroon" title="c2">F</font> is <a href="measure1.html#V2" title="MEASURE1:attr.2">sigma-additive</a> &amp; <font color="Maroon" title="c2">F</font> is <a href="prob_1.html#V1" title="PROB_1:attr.1">compl-closed</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c3">F</font> = <font color="Maroon" title="c2">F</font> as  <a href="prob_1.html#V1" title="PROB_1:attr.1">compl-closed</a> <a href="measure1.html#V2" title="MEASURE1:attr.2">sigma-additive</a> <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Maroon" title="c1">X</font> ;<br/>
<a NAME="E3:58_1_1"/>
<font color="Maroon" title="c3">F</font> is   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">X</font>
 
;<br/>
<b>hence </b><a NAME="E4:58_1_1"/>
<font color="Maroon" title="c2">F</font> is <a href="finsub_1.html#V1" title="FINSUB_1:attr.1">cup-closed</a>
 ;<br/>


</div>
