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<b>set </b><font color="Maroon" title="c3">S1</font> = the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Maroon" title="c2">N</font>;<br/>
<b>set </b><font color="Maroon" title="c4">S2</font> = the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N</font>;<br/>
<b>set </b><font color="Maroon" title="c5">S3</font> =  <a href="modelc_3.html#K13" title="MODELC_3:func.13">CastLTL</a> the <a href="modelc_3.html#U3" title="MODELC_3:sel.3">LTLnext</a> of <font color="Maroon" title="c2">N</font>;<br/>
<a NAME="E1:36_1_1"/><i><font color="Green" title="E29">A1</font></i>: 
the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Maroon" title="c2">N</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> 
 
<b>by </b><i><a class="ref" href="modelc_2.html#T47" title="MODELC_2:th.47">MODELC_2:47</a></i>;<br/>
<a NAME="E2:36_1_1"/>
the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> 
 
<b>by </b><i><a class="ref" href="modelc_2.html#T47" title="MODELC_2:th.47">MODELC_2:47</a></i>;<br/>
<a NAME="E3:36_1_1"/><b>then </b><i><font color="Green" title="E30">A2</font></i>: 
the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Maroon" title="c2">N</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> 
 
<b>by </b><i><a class="txt" href="#E1:36_1_1"><i><font color="Green" title="E29">A1</font></i></a>, <a class="ref" href="xboole_1.html#T8" title="XBOOLE_1:th.8">XBOOLE_1:8</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">S3</font> =  <a href="modelc_3.html#K13" title="MODELC_3:func.13">CastLTL</a> the <a href="modelc_3.html#U3" title="MODELC_3:sel.3">LTLnext</a> of <font color="Maroon" title="c2">N</font> as   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>  ;<br/>
<b>thus </b><a NAME="E5:36_1_1"/>
<span class="p1">(<span class="default">the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Maroon" title="c2">N</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K51" title="MODELC_2:func.51">'X'</a> <span class="p2">(<span class="default"><a href="modelc_3.html#K13" title="MODELC_3:func.13">CastLTL</a> the <a href="modelc_3.html#U3" title="MODELC_3:sel.3">LTLnext</a> of <font color="Maroon" title="c2">N</font></span>)</span></span>)</span> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> 
 <b>by </b><i><a class="txt" href="#E3:36_1_1"><i><font color="Green" title="E30">A2</font></i></a>, <a class="ref" href="xboole_1.html#T8" title="XBOOLE_1:th.8">XBOOLE_1:8</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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