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<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>let </b><font color="Maroon">f</font> be   <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>;<br/>





<b>assume </b><a NAME="E1:58"/><i><font color="Green">E27</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">f</font> <a href="modelc_1.html#R2" target="_self">is-PreEvaluation-for</a> <font color="Olive">n</font>,<font color="Maroon">Kai</font>
 ;<br/>

<b>let </b><font color="Maroon">H</font> be   <a href="modelc_1.html#NM1">CTL-formula</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="modelc_1.html#D26" target="_self">MODELC_1:def 26</a><br/>

<b>set </b><font color="Maroon">n</font> =  <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font>;<br/>
<a NAME="E2:58"/>
<font color="Maroon">f</font> <a href="modelc_1.html#R2" target="_self">is-PreEvaluation-for</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font>,<font color="Maroon">Kai</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:58"/>
( ( <font color="Maroon">H</font> is <a href="modelc_1.html#V2" target="_self">atomic</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Kai</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> ) &amp; ( <font color="Maroon">H</font> is <a href="modelc_1.html#V3" target="_self">negative</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> the <a href="modelc_1.html#U8" target="_self">Not</a> of <font color="Maroon">V</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span> ) &amp; ( <font color="Maroon">H</font> is <a href="modelc_1.html#V4" target="_self">conjunctive</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> the <a href="modelc_1.html#U7" target="_self">And</a> of <font color="Maroon">V</font> <a href="binop_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K16" target="_self">the_left_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K17" target="_self">the_right_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span> ) &amp; ( <font color="Maroon">H</font> is <a href="modelc_1.html#V5" target="_self">ExistNext</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> the <a href="modelc_1.html#U9" target="_self">EneXt</a> of <font color="Maroon">V</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span> ) &amp; ( <font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> the <a href="modelc_1.html#U10" target="_self">EGlobal</a> of <font color="Maroon">V</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span> ) &amp; ( <font color="Maroon">H</font> is <a href="modelc_1.html#V7" target="_self">ExistUntill</a> implies <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> the <a href="modelc_1.html#U11" target="_self">EUntill</a> of <font color="Maroon">V</font> <a href="binop_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K16" target="_self">the_left_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K17" target="_self">the_right_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span> ) )
 <b>by </b><i/>;<br/>


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