<?xml version="1.0"?>
<div class="add">

<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/>











<a NAME="E1:134"/>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a>  <a href="modelc_1.html#K8" target="_self">'not'</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> <span class="p1">(<span class="default"><a href="modelc_1.html#K8" target="_self">'not'</a> <font color="Maroon">H</font></span>)</span>,<font color="Maroon">kai</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E2:134"/><b>then </b>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a>  <a href="modelc_1.html#K8" target="_self">'not'</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#K25" target="_self">'not'</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" target="_self">Evaluate</a> <font color="Maroon">H</font>,<font color="Maroon">kai</font></span>)</span> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:134"/><b>then </b>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a>  <a href="modelc_1.html#K8" target="_self">'not'</a> <font color="Maroon">H</font> iff <font color="Maroon">s</font> <a href="modelc_1.html#NR4" 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><a class="txt" href="modelc_1.html#E33"><i><font color="Green">Lemma98</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:134"/>
( <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#R4" target="_self">|=</a>  <a href="modelc_1.html#K8" target="_self">'not'</a> <font color="Maroon">H</font> iff <font color="Maroon">s</font>,<font color="Maroon">kai</font> <a href="modelc_1.html#NR6" target="_self">|/=</a> <font color="Maroon">H</font> )
 <b>by </b><i/>;<br/>


</div>
