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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: MSSCYC_1:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b1">S</font> is  <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">finitely_operated</a>  holds <br/> <a href="msualg_2.html#K1" title="MSUALG_2:func.1">Constants</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">v</font>) is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
