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<b>let </b><font color="Maroon">T</font> be    <a href="struct_0.html#L1">1-sorted</a> ;<br/><b>let </b><font color="Maroon">F</font> be   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">T</font>;<br/>



<b>thus </b><a NAME="E1:8"/>
(  <a href="setfam_1.html#K7">COMPLEMENT</a> <font color="Maroon">F</font> is <a href="finset_1.html#V1">finite</a> implies <font color="Maroon">F</font> is <a href="finset_1.html#V1">finite</a> )
 <b>by </b><i/>;<br/>

<b>assume </b><a NAME="E2:8"/>
<font color="Maroon">F</font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<a NAME="E3:8"/><b>then </b>
 <a href="setfam_1.html#K7">COMPLEMENT</a> <span class="p1">(<span class="default"><a href="setfam_1.html#K7">COMPLEMENT</a> <font color="Maroon">F</font></span>)</span> is <a href="finset_1.html#V1">finite</a>
 
;<br/>
<b>hence </b><a NAME="E4:8"/>
 <a href="setfam_1.html#K7">COMPLEMENT</a> <font color="Maroon">F</font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i/>;<br/>


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