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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">V</font> be    <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> ;<br/><b>let </b><font color="Maroon" title="c3">Kai</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="modelc_1.html#K19" title="MODELC_1:func.19">atomic_WFF</a> ,the <a href="modelc_1.html#U6" title="MODELC_1:sel.6">BasicAssign</a> of <font color="Maroon" title="c2">V</font>;<br/>





<b>set </b><font color="Maroon" title="c4">p1</font> =  <a href="modelc_1.html#K21" title="MODELC_1:func.21">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font>;<br/>
<a NAME="E1:62"/>
 <a href="modelc_1.html#K21" title="MODELC_1:func.21">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c2">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" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:62_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_1.html#K21" title="MODELC_1:func.21">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c6">h</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c2">V</font><b> such that </b><br/><a NAME="E3:62_1"/><i><font color="Green" title="E55">A1</font></i>: 
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">h</font>
 <b>and </b><br/><a NAME="E4:62_1"/>
<font color="Maroon" title="c6">h</font> <a href="modelc_1.html#R2" title="MODELC_1:pred.2">is-PreEvaluation-for</a> <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c3">Kai</font>
 ;<br/>
<b>thus </b><a NAME="E5:62_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c2">V</font>
 <b>by </b><i><a class="txt" href="modelc_1.html#E3:62_1"><i><font color="Green" title="E55">A1</font></i></a>, <a class="ref" href="funct_2.html#T11" title="FUNCT_2:th.11">FUNCT_2:11</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:62"/><b>then </b>
 <a href="modelc_1.html#K21" title="MODELC_1:func.21">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c2">V</font></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E3:62"/>
 <a href="modelc_1.html#K21" title="MODELC_1:func.21">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_1.html#K23" title="MODELC_1:func.23">EvalFamily</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>
 <b>by </b><i><a class="ref" href="modelc_1.html#D31" target="_self" title="MODELC_1:def.31">Def31</a></i>;<br/>


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