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<b>let </b><font color="Maroon" title="c1">H</font> be   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">V</font> being   <a href="modelc_2.html#L1" title="MODELC_2:struct.1">LTLModelStr</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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <font color="Olive" title="b1">V</font> holds   <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</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_2.html#K24" title="MODELC_2:func.24">'X'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Olive" title="b2">Kai</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c2">V</font> be    <a href="modelc_2.html#L1" title="MODELC_2:struct.1">LTLModelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <font color="Maroon" title="c2">V</font> holds   <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</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_2.html#K24" title="MODELC_2:func.24">'X'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Olive" title="b1">Kai</font></span>)</span></span><br/><b>let </b><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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <font color="Maroon" title="c2">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</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_2.html#K24" title="MODELC_2:func.24">'X'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Maroon" title="c3">Kai</font></span>)</span></span><br/>





<b>consider </b><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_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> ,the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">Assignations</a> of <font color="Maroon" title="c2">V</font><b> such that </b><br/><a NAME="E2:114"/><i><font color="Green" title="E92">A1</font></i>: 
<font color="Maroon" title="c4">f1</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font>
 <b>and </b><br/><a NAME="E3:114"/><i><font color="Green" title="E93">A2</font></i>: 
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</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_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>
 <b>by </b><i><a class="ref" href="modelc_2.html#D33" target="_self" title="MODELC_2:def.33">Def32</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c5">f2</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> ,the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">Assignations</a> of <font color="Maroon" title="c2">V</font><b> such that </b><br/><a NAME="E5:114"/><i><font color="Green" title="E94">A3</font></i>: 
<font color="Maroon" title="c5">f2</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font>
 <b>and </b><br/><a NAME="E6:114"/><i><font color="Green" title="E95">A4</font></i>: 
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">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="Maroon" title="c5">f2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H</font>
 <b>by </b><i><a class="ref" href="modelc_2.html#D33" target="_self" title="MODELC_2:def.33">Def32</a></i>;<br/>
<a NAME="E7:114"/><i><font color="Green" title="E96">A5</font></i>: 
 <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a>
 
<b>by </b><i><a class="ref" href="modelc_2.html#D15" target="_self" title="MODELC_2:def.15">Def18</a></i>;<br/>
<a NAME="E8:114"/><b>then </b><i><font color="Green" title="E97">A6</font></i>: 
not  <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a>
 
<b>by </b><i><a class="txt" href="modelc_2.html#E39"><i><font color="Green" title="E32">Lm17</font></i></a></i>;<br/>
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font> = 
the <a href="modelc_2.html#U6" title="MODELC_2:sel.6">NEXT</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_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <span class="p3">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="#E3:114"><i><font color="Green" title="E93">A2</font></i></a>, <a class="txt" href="#E2:114"><i><font color="Green" title="E92">A1</font></i></a>, <a class="txt" href="#E7:114"><i><font color="Green" title="E96">A5</font></i></a>, <a class="ref" href="modelc_2.html#D27" target="_self" title="MODELC_2:def.27">Def26</a></i>
<br/>.= 
the <a href="modelc_2.html#U6" title="MODELC_2:sel.6">NEXT</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>
<b>by </b><i><a class="txt" href="#E8:114"><i><font color="Green" title="E97">A6</font></i></a>, <a class="txt" href="#E7:114"><i><font color="Green" title="E96">A5</font></i></a>, <a class="ref" href="modelc_2.html#D18" target="_self" title="MODELC_2:def.18">Def21</a></i>
<br/>.= 
 <a href="modelc_2.html#K24" title="MODELC_2:func.24">'X'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Maroon" title="c3">Kai</font></span>)</span>
<b>by </b><i><a class="txt" href="#E2:114"><i><font color="Green" title="E92">A1</font></i></a>, <a class="txt" href="#E5:114"><i><font color="Green" title="E94">A3</font></i></a>, <a class="txt" href="#E6:114"><i><font color="Green" title="E95">A4</font></i></a>, <a class="ref" href="modelc_2.html#T49" target="_self" title="MODELC_2:th.49">Th4</a></i>
;<br/>
<b>hence </b><a NAME="E10:114"/>
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</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_2.html#K24" title="MODELC_2:func.24">'X'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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