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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_i00.html#M5" title="AOFA_I00:mode.5">INT-Exec</a> <a onclick="hs(this)" href="javascript:()">AOFA_I00:def 27 : <br/></a><span> for <font color="Olive" title="b1">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="b2">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="aofa_000.html#M1" title="AOFA_000:mode.1">ExecutionFunction</a> of  <a href="freealg.html#K7" title="FREEALG:func.7">FreeUnivAlgNSG</a> (<a href="aofa_000.html#K19" title="AOFA_000:func.19">ECIW-signature</a>,<span class="p1">(<span class="default"><a href="aofa_i00.html#K27" title="AOFA_I00:func.27">INT-ElemIns</a> <font color="Olive" title="b1">X</font></span>)</span>), <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b1">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>),<span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b1">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)</span>)</span> <a href="aofa_i00.html#K1" title="AOFA_I00:func.1">\</a> (<font color="Olive" title="b2">x</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) holds <br/> ( <font color="Olive">b<sub>3</sub></font> is    <a href="aofa_i00.html#M5" title="AOFA_I00:mode.5">INT-Exec</a> of <font color="Olive" title="b2">x</font> iff  for <font color="Olive" title="b4">s</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b1">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)<br/>  for <font color="Olive" title="b5">v</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b1">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)</span>)</span>,<font color="Olive" title="b1">X</font>)<br/>  for <font color="Olive" title="b6">e</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b1">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)</span>)</span>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>) holds  <font color="Olive">b<sub>3</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b4">s</font>,<span class="p1">(<span class="default"><a href="trees_4.html#K1" title="TREES_4:func.1">root-tree</a> <span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">v</font>,<font color="Olive" title="b6">e</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s</font> <a href="funct_7.html#K14" title="FUNCT_7:func.14">+*</a> (<span class="p1">(<span class="default"><font color="Olive" title="b5">v</font> <a href="aofa_i00.html#K21" title="AOFA_I00:func.21">.</a> <font color="Olive" title="b4">s</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b6">e</font> <a href="aofa_i00.html#K21" title="AOFA_I00:func.21">.</a> <font color="Olive" title="b4">s</font></span>)</span>) );<br/></span></div>
