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<span class="kw">set </span><font color="Maroon" title="c5">IT</font> = (<font color="Maroon" title="c3">l1</font>,<font color="Maroon" title="c4">l2</font>) <a href="fomodel3.html#K24" title="FOMODEL3:func.24">-SymbolSubstIn</a> <font color="Maroon" title="c2">t</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">TT</font> =  <a href="fomodel1.html#K35" title="FOMODEL1:func.35">AllTermsOf</a> <font color="Maroon" title="c1">S</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">T</font> = <font color="Maroon" title="c1">S</font> <a href="fomodel1.html#K39" title="FOMODEL1:func.39">-termsOfMaxDepth</a> ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c8">TF</font> = <font color="Maroon" title="c1">S</font> <a href="fomodel1.html#K39" title="FOMODEL1:func.39">-termsOfMaxDepth</a>  as   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> ;<br/>
<a NAME="E2:101_1_1"/>
<font color="Maroon" title="c2">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fomodel1.html#K35" title="FOMODEL1:func.35">AllTermsOf</a> <font color="Maroon" title="c1">S</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="fomodel1.html#D32" onmouseover="rs('fomodel1/D32')" onmouseout="rh()">FOMODEL1:def 32</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c9">mm</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <span class="kw"> such that </span><br/><a NAME="E4:101_1_1"/><span class="lab"><font color="Green" title="E44">A1</font></span>: 
<font color="Maroon" title="c2">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c8">TF</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c9">mm</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fomodel1.html#T5" onmouseover="rs('fomodel1/T5')" onmouseout="rh()">FOMODEL1:5</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c10">tm</font> = <font color="Maroon" title="c2">t</font> as  <font color="Maroon" title="c9">mm</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="Maroon" title="c1">S</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:101_1_1"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="ref" href="fomodel1.html#D33" onmouseover="rs('fomodel1/D33')" onmouseout="rh()">FOMODEL1:def 33</a></span>;<br/>
<a NAME="E6:101_1_1"/>
(<font color="Maroon" title="c3">l1</font>,<font color="Maroon" title="c4">l2</font>) <a href="fomodel3.html#K24" title="FOMODEL3:func.24">-SymbolSubstIn</a> <font color="Maroon" title="c10">tm</font> is <font color="Maroon" title="c9">mm</font> <a href="fomodel1.html#V14" title="FOMODEL1:attr.14">-termal</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E7:101_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being   <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Maroon" title="c1">S</font>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c3">l1</font>,<font color="Maroon" title="c4">l2</font>) <a href="fomodel3.html#K24" title="FOMODEL3:func.24">-SymbolSubstIn</a> <font color="Maroon" title="c2">t</font> holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="fomodel1.html#V13" title="FOMODEL1:attr.13">termal</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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