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<b>let </b><font color="Maroon">S</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">S</font>;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:8_1"/>
<font color="Maroon">A</font> is <a href="tex_2.html#V1" target="_self">proper</a>
 ;<br/><a NAME="E2:8_1"/><b>then </b>
<font color="Maroon">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="setfam_1.html#K5">union</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">S</font></span>)</span>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:8_1"/>
<font color="Maroon">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">S</font>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T99">ZFMISC_1:99</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:8"/>
<font color="Maroon">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">S</font>
 ;<br/>

<b>hence </b><a NAME="E3:8"/>
<font color="Maroon">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="setfam_1.html#K5">union</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">S</font></span>)</span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T99">ZFMISC_1:99</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="tex_2.html#D2" target="_self">TEX_2:def 2</a><br/>


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