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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: FOMODEL2:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b4">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="b5">u1</font>, <font color="Olive" title="b6">u2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b4">U</font><br/>  for <font color="Olive" title="b7">I</font> being  <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</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="b8">t</font> being  <font color="Olive">b<sub>1</sub></font> <a href="fomodel1.html#V14" title="FOMODEL1:attr.14">-termal</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Olive" title="b3">S</font> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default">(<font color="Olive" title="b7">I</font>,<font color="Olive" title="b5">u1</font>) <a href="fomodel2.html#K7" title="FOMODEL2:func.7">-TermEval</a></span>)</span> <a href="funct_5.html#K10" title="FUNCT_5:func.10">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b8">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">(<font color="Olive" title="b7">I</font>,<font color="Olive" title="b6">u2</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> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">n</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b8">t</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="fomodel2.html#E15"><span class="lab"><font color="Green" title="E11">Lm6</font></span></a></span>;<br/></div></div>
