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<b>consider </b><font color="Maroon">A</font> being    <a href="pboole.html#M1">ManySortedSet</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font><b> such that </b><br/><a NAME="E2:34_1_1"/><i><font color="Green">E39</font></i>: 
<span class="p1"><a href="pzfmisc1.html#K1">{</a><span class="default"><font color="Maroon">A</font></span><a href="pzfmisc1.html#K1">}</a></span> <a href="pboole.html#R6">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <a href="pre_circ.html#K2">--&gt;</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i/>;<br/>
<b>thus </b><a NAME="E3:34_1_1"/>
( the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="msafree2.html#K8">Trivial_Algebra</a> <font color="Maroon">S</font></span>)</span> is <a href="finset_1.html#V2">locally-finite</a> &amp; the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="msafree2.html#K8">Trivial_Algebra</a> <font color="Maroon">S</font></span>)</span> is <a href="relat_1.html#V2">non-empty</a> )
 <b>by </b><i>, <a class="ref" href="msafree2.html#D12">MSAFREE2:def 12</a></i>;<br/>


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