<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">finitely_operated</a> <a onclick="hs(this)" href="javascript:()">MSSCYC_1:def 5 : <br/></a><span> for <font color="Olive" title="b1">IT</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>  holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">finitely_operated</a>  iff  for <font color="Olive" title="b2">s</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">IT</font> holds  <span class="p1"> { <span class="default"> <font color="Olive" title="b3">o</font> where <font color="Olive" title="b3">o</font> is   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">IT</font> :  <a href="msualg_1.html#K2" title="MSUALG_1:func.2">the_result_sort_of</a> <font color="Olive" title="b3">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">s</font> </span> } </span>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  );<br/></span></div>
