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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_i00.html#K58" title="AOFA_I00:func.58">*=</a> <a onclick="hs(this)" href="javascript:()">AOFA_I00:def 52 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   <a href="aofa_i00.html#V2" title="AOFA_I00:attr.2">Euclidean</a>  <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="card_3.html#V4" title="CARD_3:attr.4">countable</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_i00.html#V1" title="AOFA_I00:attr.1">Euclidean</a>   <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><br/>  for <font color="Olive" title="b5">x</font> being    <a href="aofa_i00.html#M1" title="AOFA_I00:mode.1">Variable</a> of <font color="Olive" title="b4">f</font><br/>  for <font color="Olive" title="b6">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> holds  <font color="Olive" title="b5">x</font> <a href="aofa_i00.html#K58" title="AOFA_I00:func.58">*=</a> <font color="Olive" title="b6">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">x</font> <a href="aofa_i00.html#K47" title="AOFA_I00:func.47">:=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="aofa_i00.html#K42" title="AOFA_I00:func.42">.</a> <font color="Olive" title="b5">x</font></span>)</span> <a href="aofa_i00.html#K31" title="AOFA_I00:func.31">*</a> <font color="Olive" title="b6">i</font></span>)</span>;<br/></span></div>
