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

<b>let </b><font color="Maroon" title="c1">H1</font>, <font color="Maroon" title="c2">H2</font> be   <a href="modelc_1.html#NM1" title="MODELC_1:NM.1">CTL-formula</a>;<br/><b>let </b><font color="Maroon" title="c3">V</font> be    <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> ;<br/><b>let </b><font color="Maroon" title="c4">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="c3">V</font>;<br/>







<b>consider </b><font color="Maroon" title="c5">f0</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="c3">V</font><b> such that </b><br/><a NAME="E2:74"/><i><font color="Green" title="E63">A1</font></i>: 
<font color="Maroon" title="c5">f0</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <b>and </b><br/><a NAME="E3:74"/><i><font color="Green" title="E64">A2</font></i>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">f0</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>
 <b>by </b><i><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">f1</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="c3">V</font><b> such that </b><br/><a NAME="E5:74"/><i><font color="Green" title="E65">A3</font></i>: 
<font color="Maroon" title="c6">f1</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <b>and </b><br/><a NAME="E6:74"/><i><font color="Green" title="E66">A4</font></i>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H1</font>
 <b>by </b><i><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c7">f2</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="c3">V</font><b> such that </b><br/><a NAME="E8:74"/><i><font color="Green" title="E67">A5</font></i>: 
<font color="Maroon" title="c7">f2</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <b>and </b><br/><a NAME="E9:74"/><i><font color="Green" title="E68">A6</font></i>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">f2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">H2</font>
 <b>by </b><i><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></i>;<br/>
<a NAME="E10:74"/><i><font color="Green" title="E69">A7</font></i>: 
( <font color="Maroon" title="c5">f0</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c6">f1</font> &amp; <font color="Maroon" title="c5">f0</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c7">f2</font> )
 
<b>by </b><i><a class="txt" href="modelc_1.html#E2:74"><i><font color="Green" title="E63">A1</font></i></a>, <a class="txt" href="modelc_1.html#E5:74"><i><font color="Green" title="E65">A3</font></i></a>, <a class="txt" href="modelc_1.html#E8:74"><i><font color="Green" title="E67">A5</font></i></a>, <a class="ref" href="modelc_1.html#T4" target="_self" title="MODELC_1:th.4">Th4</a></i>;<br/>
<a NAME="E11:74"/><i><font color="Green" title="E70">A8</font></i>: 
<font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font> is <a href="modelc_1.html#V7" title="MODELC_1:attr.7">ExistUntill</a>
 
<b>by </b><i><a class="ref" href="modelc_1.html#D19" target="_self" title="MODELC_1:def.19">Def19</a></i>;<br/>
<a NAME="E12:74"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 
<b>by </b><i><a class="txt" href="modelc_1.html#E29"><i><font color="Green" title="E22">Lm7</font></i></a></i>;<br/>
<a NAME="E13:74"/><b>then </b>
not <font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font> is <a href="modelc_1.html#V4" title="MODELC_1:attr.4">conjunctive</a>
 
<b>by </b><i><a class="txt" href="modelc_1.html#E26"><i><font color="Green" title="E19">Lm4</font></i></a></i>;<br/>
<a NAME="E14:74"/><b>then </b><i><font color="Green" title="E71">A9</font></i>: 
(  <a href="modelc_1.html#K16" title="MODELC_1:func.16">the_left_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">H1</font> &amp;  <a href="modelc_1.html#K17" title="MODELC_1:func.17">the_right_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">H2</font> )
 
<b>by </b><i><a class="txt" href="modelc_1.html#E11:74"><i><font color="Green" title="E70">A8</font></i></a>, <a class="ref" href="modelc_1.html#D22" target="_self" title="MODELC_1:def.22">Def22</a>, <a class="ref" href="modelc_1.html#D23" target="_self" title="MODELC_1:def.23">Def23</a></i>;<br/>
<a NAME="E15:74"/>
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font></span>)</span>
 
<b>by </b><i><a class="txt" href="modelc_1.html#E2:74"><i><font color="Green" title="E63">A1</font></i></a>, <a class="txt" href="modelc_1.html#E3:74"><i><font color="Green" title="E64">A2</font></i></a>, <a class="txt" href="modelc_1.html#E10:74"><i><font color="Green" title="E69">A7</font></i></a>, <a class="txt" href="modelc_1.html#E11:74"><i><font color="Green" title="E70">A8</font></i></a>, <a class="txt" href="modelc_1.html#E14:74"><i><font color="Green" title="E71">A9</font></i></a>, <a class="ref" href="modelc_1.html#D26" target="_self" title="MODELC_1:def.26">Def26</a>, <a class="txt" href="modelc_1.html#E6:74"><i><font color="Green" title="E66">A4</font></i></a>, <a class="txt" href="modelc_1.html#E9:74"><i><font color="Green" title="E68">A6</font></i></a></i>;<br/>
<b>hence </b><a NAME="E16:74"/>
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font></span>)</span>
 ;<br/>


</div>
