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<b>let </b><font color="Maroon" title="c1">n</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</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#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K19" title="MODELC_2:func.19">EvalFamily</a> <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">Kai</font></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#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Olive" title="b1">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K19" title="MODELC_2:func.19">EvalFamily</a> <font color="Maroon" title="c2">V</font>,<font color="Olive" title="b1">Kai</font></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#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K19" title="MODELC_2:func.19">EvalFamily</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font></span><br/>





<b>set </b><font color="Maroon" title="c4">p1</font> =  <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font>;<br/>
<a NAME="E1:104"/>
 <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <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>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="104_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  not <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> or <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <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> )</span><br/>

<b>assume </b><a NAME="E1:104_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <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></span><br/>

<b>then consider </b><font color="Maroon" title="c6">h</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="E3:104_1"/><i><font color="Green" title="E85">A1</font></i>: 
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">h</font>
 <b>and </b><br/><a NAME="E4:104_1"/>
<font color="Maroon" title="c6">h</font> <a href="modelc_2.html#R5" title="MODELC_2:pred.5">is-PreEvaluation-for</a> <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c3">Kai</font>
 ;<br/>
<b>thus </b><a NAME="E5:104_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <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>by </b><i><a class="ref" href="funct_2.html#T11" title="FUNCT_2:th.11">FUNCT_2:11</a>, <a class="txt" href="modelc_2.html#E3:104_1"><i><font color="Green" title="E85">A1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<a NAME="E2:104"/><b>then </b>
 <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> <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></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E3:104"/>
 <a href="modelc_2.html#K17" title="MODELC_2:func.17">EvalSet</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>,<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K19" title="MODELC_2:func.19">EvalFamily</a> <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>
 <b>by </b><i><a class="ref" href="modelc_2.html#D32" target="_self" title="MODELC_2:def.32">Def31</a></i>; <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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