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<b>let </b><font color="Maroon">H</font> be   <a href="modelc_1.html#NM1">CTL-formula</a>;<br/><b>let </b><font color="Maroon">S</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">R</font> be  <a href="partfun1.html#V1">total</a>  <a href="relset_1.html#M2">Relation</a> of <font color="Maroon">S</font>,<font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">s</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">BASSIGN</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" target="_self">ModelSP</a> <font color="Maroon">S</font></span>)</span>;<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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" target="_self">CTLModel</a> <font color="Maroon">R</font>,<font color="Maroon">BASSIGN</font></span>)</span>;<br/>











<b>assume </b><a NAME="E1:133"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">H</font> is <a href="modelc_1.html#V2" target="_self">atomic</a>
 ;<br/>

<b>consider </b><font color="Maroon">f</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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" target="_self">CTLModel</a> <font color="Maroon">R</font>,<font color="Maroon">BASSIGN</font></span>)</span><b> such that </b><br/><a NAME="E3:133"/><i><font color="Green">E28</font></i>: 
( <font color="Maroon">f</font> <a href="modelc_1.html#R1" target="_self">is-Evaluation-for</a> <font color="Maroon">kai</font> &amp;  <a href="modelc_1.html#K24" target="_self">Evaluate</a> <font color="Maroon">H</font>,<font color="Maroon">kai</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> )
 <b>by </b><i/>;<br/>
<a NAME="E4:133"/><i><font color="Green">E50</font></i>: 
 <a href="modelc_1.html#K24" target="_self">Evaluate</a> <font color="Maroon">H</font>,<font color="Maroon">kai</font> <a href="hidden.html#R1">=</a> <font color="Maroon">kai</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font>
 
<b>by </b><i>, , </i>;<br/>
<a NAME="E5:133"/>
<font color="Maroon">H</font> <a href="hidden.html#R2">in</a>  <a href="modelc_1.html#K19" target="_self">atomic_WFF</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E6:133"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="modelc_1.html#K24" target="_self">Evaluate</a> <font color="Maroon">H</font>,<font color="Maroon">kai</font> <a href="hidden.html#R2">in</a> <font color="Maroon">BASSIGN</font>
 
<b>by </b><i>, <a class="ref" href="funct_2.html#T7">FUNCT_2:7</a></i>;<br/>
<a NAME="E7:133"/>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a> <font color="Maroon">H</font> iff <font color="Maroon">s</font> <a href="modelc_1.html#R3" target="_self">|=</a>  <a href="modelc_1.html#K24" target="_self">Evaluate</a> <font color="Maroon">H</font>,<font color="Maroon">kai</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E8:133"/>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a> <font color="Maroon">H</font> iff <font color="Maroon">kai</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">H</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K48" target="_self">Label_</a> <font color="Maroon">BASSIGN</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">s</font> )
 <b>by </b><i>, , </i>;<br/>


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