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<div>:: <span class="kw">deftheorem </span>   defines <a href="unialg_2.html#R2" title="UNIALG_2:pred.2">is_closed_on</a> <a onclick="hs(this)" href="javascript:()">UNIALG_2:def 3 : <br/></a><span> for <font color="Olive" title="b1">U0</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">U0</font><br/>  for <font color="Olive" title="b3">o</font> being   <a href="unialg_2.html#NM3" title="UNIALG_2:NM.3">operation</a> of <font color="Olive" title="b1">U0</font> holds <br/> ( <font color="Olive" title="b2">A</font> <a href="unialg_2.html#R2" title="UNIALG_2:pred.2">is_closed_on</a> <font color="Olive" title="b3">o</font> iff  for <font color="Olive" title="b4">s</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b2">A</font>  st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b4">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <font color="Olive" title="b3">o</font> holds <br/><font color="Olive" title="b3">o</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">s</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> );<br/></span></div>
