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<div>:: <span class="kw">deftheorem </span>   defines <a href="comput_1.html#V5" title="COMPUT_1:attr.5">primitive-recursion_closed</a> <a onclick="hs(this)" href="javascript:()">COMPUT_1:def 13 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="comput_1.html#V5" title="COMPUT_1:attr.5">primitive-recursion_closed</a>  iff  for <font color="Olive" title="b2">g</font>, <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">f2</font> being    <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="comput_1.html#K2" title="COMPUT_1:func.2">HFuncs</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a><br/>  for <font color="Olive" title="b5">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b2">g</font> <a href="comput_1.html#R1" title="COMPUT_1:pred.1">is_primitive-recursively_expressed_by</a> <font color="Olive" title="b3">f1</font>,<font color="Olive" title="b4">f2</font>,<font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b3">f1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; <font color="Olive" title="b4">f2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive" title="b2">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> );<br/></span></div>
