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<b>let </b><font color="Maroon" title="c1">H1</font>, <font color="Maroon" title="c2">H2</font> be   <a href="modelc_2.html#NM2" title="MODELC_2:NM.2">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">r</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K27" title="MODELC_2:func.27">Inf_seq</a> <a href="modelc_2.html#K46" title="MODELC_2:func.46">AtomicFamily</a>  holds <br/> ( <font color="Olive" title="b1">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Olive" title="b1">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a>  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span></span>)</span> )</span><br/><b>let </b><font color="Maroon" title="c3">r</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K27" title="MODELC_2:func.27">Inf_seq</a> <a href="modelc_2.html#K46" title="MODELC_2:func.46">AtomicFamily</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a>  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span></span>)</span> )</span><br/>





<b>set </b><font color="Maroon" title="c4">H01</font> =  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> ;<br/>
<b>set </b><font color="Maroon" title="c5">H02</font> =  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> ;<br/>
<b>set </b><font color="Maroon" title="c6">nH1</font> =  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font>;<br/>
<b>set </b><font color="Maroon" title="c7">nH2</font> =  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font>;<br/>
<a NAME="E1:178"/><i><font color="Green" title="E143">A1</font></i>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</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">H1</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> 
 
<b>by </b><i><a class="ref" href="modelc_2.html#T50" target="_self" title="MODELC_2:th.50">Th5</a></i>;<br/>
<a NAME="E2:178"/><i><font color="Green" title="E144">A2</font></i>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> 
 
<b>by </b><i><a class="ref" href="modelc_2.html#T50" target="_self" title="MODELC_2:th.50">Th5</a></i>;<br/>
<a NAME="E3:178"/>
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span></span>)</span>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a>  )
 
<b>by </b><i><a class="ref" href="modelc_2.html#D65" target="_self" title="MODELC_2:def.65">Def65</a></i>;<br/>
<a NAME="E4:178"/><b>then </b><i><font color="Green" title="E145">A3</font></i>: 
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="modelc_2.html#T54" target="_self" title="MODELC_2:th.54">Th9</a>, <a class="txt" href="modelc_2.html#E1:178"><i><font color="Green" title="E143">A1</font></i></a>, <a class="txt" href="modelc_2.html#E2:178"><i><font color="Green" title="E144">A2</font></i></a></i>;<br/>
<a NAME="E5:178"/>
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a>  )
 
<b>by </b><i><a class="ref" href="modelc_2.html#D65" target="_self" title="MODELC_2:def.65">Def65</a></i>;<br/>
<a NAME="E6:178"/><b>then </b>
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</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">H1</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span> <a href="modelc_2.html#K26" title="MODELC_2:func.26">'R'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span> )
 
<b>by </b><i><a class="ref" href="modelc_2.html#T55" target="_self" title="MODELC_2:th.55">Th10</a></i>;<br/>
<a NAME="E7:178"/><b>then </b>
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p3">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">'not'</a> <span class="p3">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<a href="modelc_2.html#K50" title="MODELC_2:func.50">AtomicKai</a> </span>)</span></span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="modelc_2.html#D57" target="_self" title="MODELC_2:def.57">Def5402</a></i>;<br/>
<b>hence </b><a NAME="E8:178"/>
( <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a> <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> iff <font color="Maroon" title="c3">r</font> <a href="modelc_2.html#R7" title="MODELC_2:pred.7">|=</a>  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c1">H1</font></span>)</span> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <font color="Maroon" title="c2">H2</font></span>)</span></span>)</span> )
 <b>by </b><i><a class="ref" href="modelc_2.html#T57" target="_self" title="MODELC_2:th.57">Th12</a>, <a class="ref" href="modelc_2.html#T64" target="_self" title="MODELC_2:th.64">Th19</a>, <a class="txt" href="modelc_2.html#E4:178"><i><font color="Green" title="E145">A3</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/>


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