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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_i00.html#M3" title="AOFA_I00:mode.3">INT-Expression</a> <a onclick="hs(this)" href="javascript:()">AOFA_I00:def 17 : <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">X</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 <span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b2">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)</span>)</span><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>, <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b2">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>),<font color="Olive" title="b3">T</font>  st  ex <font color="Olive" title="b5">I</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font> st <font color="Olive" title="b5">I</font> <a href="aofa_i00.html#R1" title="AOFA_I00:pred.1">is_assignment_wrt</a> <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">X</font>,<font color="Olive" title="b4">f</font> holds <br/> for <font color="Olive">b<sub>5</sub></font> being   <a href="aofa_i00.html#NM5" title="AOFA_I00:NM.5">INT-Expression</a> of <font color="Olive" title="b2">X</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> is    <a href="aofa_i00.html#M3" title="AOFA_I00:mode.3">INT-Expression</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b4">f</font> iff  ex <font color="Olive" title="b6">v</font> being   <a href="aofa_i00.html#NM4" title="AOFA_I00:NM.4">INT-Variable</a> of <font color="Olive" title="b2">X</font> st <font color="Olive" title="b6">v</font>,<font color="Olive">b<sub>5</sub></font> <a href="aofa_i00.html#R2" title="AOFA_I00:pred.2">form_assignment_wrt</a> <font color="Olive" title="b4">f</font> );<br/></span></div>
