<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E79">Th79</font></span>: <a NAME="T79"><span class="comment"><font color="firebrick">:: AOFA_000:79</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a> holds <br/> ( <font color="Olive" title="b1">A</font> is  <a href="aofa_000.html#V11" title="AOFA_000:attr.11">well_founded</a>  iff  for <font color="Olive" title="b2">I</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font>  ex <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Olive" title="b2">I</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="aofa_000.html#K9" title="AOFA_000:func.9">|^</a> <font color="Olive" title="b3">n</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="aofa_000.html#T30" target="_self" onmouseover="rs('aofa_000/T30')" onmouseout="rh()">Th30</a></span>;<br/></div></div>
