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<div class="add">

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">V</font> be    <a href="modelc_1.html#L2" target="_self">CTLModelStr</a> ;<br/><b>let </b><font color="Maroon">Kai</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="modelc_1.html#K19" target="_self">atomic_WFF</a> ,the <a href="modelc_1.html#U6" target="_self">BasicAssign</a> of <font color="Maroon">V</font>;<br/>





<b>set </b><font color="Maroon">p1</font> =  <a href="modelc_1.html#K21" target="_self">EvalSet</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>,<font color="Maroon">n</font>;<br/>
<a NAME="E1:62"/>
 <a href="modelc_1.html#K21" target="_self">EvalSet</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>,<font color="Maroon">n</font> <a href="tarski.html#R1">c=</a>  <a href="funct_2.html#K1">Funcs</a> <a href="modelc_1.html#K13" target="_self">CTL_WFF</a> ,the <a href="modelc_1.html#U5" target="_self">Assignations</a> of <font color="Maroon">V</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="62_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:62_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="modelc_1.html#K21" target="_self">EvalSet</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>,<font color="Maroon">n</font>
 ;<br/>

<b>then consider </b><font color="Maroon">h</font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="modelc_1.html#K13" target="_self">CTL_WFF</a> ,the <a href="modelc_1.html#U5" target="_self">Assignations</a> of <font color="Maroon">V</font><b> such that </b><br/><a NAME="E3:62_1"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">h</font>
 <b>and </b><br/><a NAME="E4:62_1"/>
<font color="Maroon">h</font> <a href="modelc_1.html#R2" target="_self">is-PreEvaluation-for</a> <font color="Maroon">n</font>,<font color="Maroon">Kai</font>
 ;<br/>
<b>thus </b><a NAME="E5:62_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="funct_2.html#K1">Funcs</a> <a href="modelc_1.html#K13" target="_self">CTL_WFF</a> ,the <a href="modelc_1.html#U5" target="_self">Assignations</a> of <font color="Maroon">V</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T11">FUNCT_2:11</a>, </i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:62"/><b>then </b>
 <a href="modelc_1.html#K21" target="_self">EvalSet</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>,<font color="Maroon">n</font> <a href="hidden.html#R2">in</a>  <a href="zfmisc_1.html#K1">bool</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1">Funcs</a> <a href="modelc_1.html#K13" target="_self">CTL_WFF</a> ,the <a href="modelc_1.html#U5" target="_self">Assignations</a> of <font color="Maroon">V</font></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E3:62"/>
 <a href="modelc_1.html#K21" target="_self">EvalSet</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>,<font color="Maroon">n</font> <a href="hidden.html#R2">in</a>  <a href="modelc_1.html#K23" target="_self">EvalFamily</a> <font color="Maroon">V</font>,<font color="Maroon">Kai</font>
 <b>by </b><i/>;<br/>


</div>
