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<span class="kw">let </span><font color="Maroon" title="c1">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">V</font> being   <a href="modelc_2.html#NM3" title="MODELC_2:NM.3">LTLModel</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#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Olive" title="b1">V</font> holds   <a href="modelc_2.html#K18" title="MODELC_2:func.18">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="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">EvalFamily</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">Kai</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">V</font> be   <a href="modelc_2.html#NM3" title="MODELC_2:NM.3">LTLModel</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>, the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Maroon" title="c2">V</font> holds   <a href="modelc_2.html#K18" title="MODELC_2:func.18">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="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">EvalFamily</a> (<font color="Maroon" title="c2">V</font>,<font color="Olive" title="b1">Kai</font>)</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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>, the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Maroon" title="c2">V</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="modelc_2.html#K18" title="MODELC_2:func.18">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#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">EvalFamily</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>)</span><br/>





<span class="kw">set </span><font color="Maroon" title="c4">p1</font> =  <a href="modelc_2.html#K18" title="MODELC_2:func.18">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="E1:105"/>
 <a href="modelc_2.html#K18" title="MODELC_2:func.18">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#K9" title="FUNCT_2:func.9">Funcs</a> (<a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">V</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="105_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="tarski.html#D3" onmouseover="rs('tarski/D3')" onmouseout="rh()">TARSKI:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#K18" title="MODELC_2:func.18">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#K9" title="FUNCT_2:func.9">Funcs</a> (<a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">V</font>) )</span><br/>

<span class="kw">assume </span><a NAME="E1:105_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K18" title="MODELC_2:func.18">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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#K9" title="FUNCT_2:func.9">Funcs</a> (<a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">V</font>)</span><br/>

<a NAME="E2:105_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">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="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">V</font> st <br/>( <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">h</font> &amp; <font color="Olive" title="b1">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/>
<span class="kw">hence </span><a NAME="E3:105_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">V</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#T8" onmouseover="rs('funct_2/T8')" onmouseout="rh()">FUNCT_2:8</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E2:105"/>
 <a href="modelc_2.html#K18" title="MODELC_2:func.18">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#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">EvalFamily</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">Kai</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D34" target="_self" onmouseover="rs('modelc_2/D34')" onmouseout="rh()">Def34</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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