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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E92">Def36</font></span>   defines <a href="aofa_000.html#V15" title="AOFA_000:attr.15">absolutely-terminating</a> <a onclick="hs(this)" href="javascript:()">AOFA_000:def 36 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a><br/>  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> holds <br/> ( <font color="Olive" title="b2">I</font> is  <a href="aofa_000.html#V15" title="AOFA_000:attr.15">absolutely-terminating</a>  iff  for <font color="Olive" title="b3">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">s</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">S</font><br/>  for <font color="Olive" title="b5">T</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b3">S</font><br/>  for <font color="Olive" title="b6">f</font> being    <a href="aofa_000.html#M1" title="AOFA_000:mode.1">ExecutionFunction</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">S</font>,<font color="Olive" title="b5">T</font> holds  <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">s</font>,<font color="Olive" title="b2">I</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aofa_000.html#K21" title="AOFA_000:func.21">TerminatingPrograms</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">S</font>,<font color="Olive" title="b5">T</font>,<font color="Olive" title="b6">f</font>) );<br/></span></div>
