<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E67">Def14</font></span>   defines <a href="comput_1.html#V6" title="COMPUT_1:attr.6">primitive-recursively_closed</a> <a onclick="hs(this)" href="javascript:()">COMPUT_1:def 14 : <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#V6" title="COMPUT_1:attr.6">primitive-recursively_closed</a>  iff ( <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="comput_1.html#K3" title="COMPUT_1:func.3">const</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; 1 <a href="comput_1.html#K4" title="COMPUT_1:func.4">succ</a> 1 <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; (  for <font color="Olive" title="b2">n</font>, <font color="Olive" title="b3">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 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">n</font> holds <br/><font color="Olive" title="b2">n</font> <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> <font color="Olive" title="b3">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> ) &amp; <font color="Olive" title="b1">X</font> is  <a href="comput_1.html#V4" title="COMPUT_1:attr.4">composition_closed</a>  &amp; <font color="Olive" title="b1">X</font> is  <a href="comput_1.html#V5" title="COMPUT_1:attr.5">primitive-recursion_closed</a>  ) );<br/></span></div>
