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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: FOMODEL3:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">U</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">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b5">l</font> being   <a href="fomodel1.html#V4" title="FOMODEL1:attr.4">literal</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Olive" title="b4">S</font><br/>  for <font color="Olive" title="b6">I</font> being  <font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="fomodel2.html#V1" title="FOMODEL2:attr.1">-interpreter-like</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b7">tt0</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="fomodel1.html#K35" title="FOMODEL1:func.35">AllTermsOf</a> <font color="Olive" title="b4">S</font> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b6">I</font> <a href="fomodel2.html#K9" title="FOMODEL2:func.9">-TermEval</a></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">(<span class="p4">(<span class="default">(<font color="Olive" title="b5">l</font>,<font color="Olive" title="b7">tt0</font>) <a href="fomodel2.html#K34" title="FOMODEL2:func.34">ReassignIn</a> <span class="p5">(<span class="default">(<font color="Olive" title="b4">S</font>,<font color="Olive" title="b1">X</font>) <a href="fomodel3.html#K7" title="FOMODEL3:func.7">-freeInterpreter</a></span>)</span></span>)</span>,<font color="Olive" title="b7">tt0</font>) <a href="fomodel2.html#K7" title="FOMODEL2:func.7">-TermEval</a></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">S</font> <a href="fomodel1.html#K39" title="FOMODEL1:func.39">-termsOfMaxDepth</a></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">(<span class="p3">(<span class="default">(<font color="Olive" title="b5">l</font>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Olive" title="b6">I</font> <a href="fomodel2.html#K9" title="FOMODEL2:func.9">-TermEval</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b7">tt0</font></span>)</span>) <a href="fomodel2.html#K5" title="FOMODEL2:func.5">ReassignIn</a> <font color="Olive" title="b6">I</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b6">I</font> <a href="fomodel2.html#K9" title="FOMODEL2:func.9">-TermEval</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b7">tt0</font></span>)</span>) <a href="fomodel2.html#K7" title="FOMODEL2:func.7">-TermEval</a></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">S</font> <a href="fomodel1.html#K39" title="FOMODEL1:func.39">-termsOfMaxDepth</a></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span></div></div>
