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<div><span class="kw">theorem </span><a NAME="T107"><span class="comment"><font color="firebrick">:: AOFA_000:107</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><br/>  for <font color="Olive" title="b2">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="b3">T</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">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="b2">S</font>,<font color="Olive" title="b3">T</font><br/>  for <font color="Olive" title="b5">I</font> being   <a href="aofa_000.html#V15" title="AOFA_000:attr.15">absolutely-terminating</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b6">P</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds  <font color="Olive" title="b5">I</font> <a href="aofa_000.html#R6" title="AOFA_000:pred.6">is_terminating_wrt</a> <font color="Olive" title="b4">f</font>,<font color="Olive" title="b6">P</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="aofa_000.html#T104" target="_self" onmouseover="rs('aofa_000/T104')" onmouseout="rh()">Th104</a>, <a class="ref" href="aofa_000.html#T106" target="_self" onmouseover="rs('aofa_000/T106')" onmouseout="rh()">Th106</a></span>;<br/></div></div>
