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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#K25" title="MODELC_2:func.25">Inf_seq</a> <a href="modelc_2.html#K43" title="MODELC_2:func.43">AtomicFamily</a> holds <br/> ( <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> <font color="Maroon" title="c1">H</font> iff <font color="Olive" title="b1">r</font> <a href="modelc_2.html#NR9" title="MODELC_2:NR.9">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">r</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <a href="modelc_2.html#K43" title="MODELC_2:func.43">AtomicFamily</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">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> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c2">r</font> <a href="modelc_2.html#NR9" title="MODELC_2:NR.9">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/>



<a NAME="E1:168"/>
( <font color="Maroon" title="c2">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> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c2">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">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">H</font></span>)</span>,<a href="modelc_2.html#K47" title="MODELC_2:func.47">AtomicKai</a>) )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D63" target="_self" title="MODELC_2:def.63">Def67</a></span>;<br/>
<a NAME="E2:168"/><span class="kw">then </span>
( <font color="Maroon" title="c2">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> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c2">r</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H</font>,<a href="modelc_2.html#K47" title="MODELC_2:func.47">AtomicKai</a>)</span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T50" target="_self" title="MODELC_2:th.50">Th50</a></span>;<br/>
<a NAME="E3:168"/><span class="kw">then </span>
( <font color="Maroon" title="c2">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> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c2">r</font> <a href="modelc_2.html#NR7" title="MODELC_2:NR.7">|/=</a>  <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H</font>,<a href="modelc_2.html#K47" title="MODELC_2:func.47">AtomicKai</a>) )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T57" target="_self" title="MODELC_2:th.57">Th57</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:168"/>
( <font color="Maroon" title="c2">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> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c2">r</font> <a href="modelc_2.html#NR9" title="MODELC_2:NR.9">|/=</a> <font color="Maroon" title="c1">H</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D63" target="_self" title="MODELC_2:def.63">Def67</a></span>; <a class="txt" 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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