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<span class="kw">let </span><font color="Maroon" title="c1">H</font> be   <a href="modelc_1.html#NM1" title="MODELC_1:NM.1">CTL-formula</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">V</font> being   <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> <br/> for <font color="Olive" title="b2">Kai</font> being  <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="Olive" title="b1">V</font> holds   <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Olive" title="b2">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_1.html#K27" title="MODELC_1:func.27">EX</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">H</font>,<font color="Olive" title="b2">Kai</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">V</font> be    <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">Kai</font> being  <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> holds   <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Olive" title="b1">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_1.html#K27" title="MODELC_1:func.27">EX</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">H</font>,<font color="Olive" title="b1">Kai</font></span>)</span></span><br/><span class="kw">let </span><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>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_1.html#K27" title="MODELC_1:func.27">EX</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">H</font>,<font color="Maroon" title="c3">Kai</font></span>)</span></span><br/>





<span class="kw">consider </span><font color="Maroon" title="c4">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="c2">V</font><span class="kw"> such that </span><br/><a NAME="E2:72"/><span class="lab"><font color="Green" title="E61">A1</font></span>: 
<font color="Maroon" title="c4">f1</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font>
 <span class="kw">and </span><br/><a NAME="E3:72"/><span class="lab"><font color="Green" title="E62">A2</font></span>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></span>;<br/>
<a NAME="E4:72"/><span class="lab"><font color="Green" title="E63">A3</font></span>: 
 ex <font color="Olive" title="b1">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="c2">V</font> st <br/>( <font color="Olive" title="b1">f2</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font> &amp;  <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Maroon" title="c3">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></span>;<br/>
<a NAME="E5:72"/><span class="lab"><font color="Green" title="E64">A4</font></span>: 
 <a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font> is  <a href="modelc_1.html#V5" title="MODELC_1:attr.5">ExistNext</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D17" target="_self" title="MODELC_1:def.17">Def17</a></span>;<br/>
<span class="kw">then </span> <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font> = 
the <a href="modelc_1.html#U9" title="MODELC_1:sel.9">EneXt</a> of <font color="Maroon" title="c2">V</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" title="MODELC_1:func.15">the_argument_of</a> <span class="p3">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:72"><span class="lab"><font color="Green" title="E61">A1</font></span></a>, <a class="txt" href="#E3:72"><span class="lab"><font color="Green" title="E62">A2</font></span></a>, <a class="ref" href="modelc_1.html#D26" target="_self" title="MODELC_1:def.26">Def26</a></span>
<br/>.= 
the <a href="modelc_1.html#U9" title="MODELC_1:sel.9">EneXt</a> of <font color="Maroon" title="c2">V</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:72"><span class="lab"><font color="Green" title="E64">A4</font></span></a>, <a class="ref" href="modelc_1.html#D21" target="_self" title="MODELC_1:def.21">Def21</a></span>
<br/>.= 
 <a href="modelc_1.html#K27" title="MODELC_1:func.27">EX</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">H</font>,<font color="Maroon" title="c3">Kai</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:72"><span class="lab"><font color="Green" title="E61">A1</font></span></a>, <a class="txt" href="#E4:72"><span class="lab"><font color="Green" title="E63">A3</font></span></a>, <a class="ref" href="modelc_1.html#T4" target="_self" title="MODELC_1:th.4">Th4</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E7:72"/>
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K10" title="MODELC_1:func.10">EX</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_1.html#K27" title="MODELC_1:func.27">EX</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">H</font>,<font color="Maroon" title="c3">Kai</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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