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<b>set </b><font color="Maroon" title="c4">x</font> = the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font>;<br/>
<b>set </b><font color="Maroon" title="c5">a</font> = <font color="Maroon" title="c2">U</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font>;<br/>
<a NAME="E1:123_1_1"/>
the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="orders_1.html#K1" title="ORDERS_1:func.1">BOOL</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">v</font></span>)</span>
 
<b>by </b><i><a class="txt" href="#E1:123"><i><font color="Green" title="E104">A1</font></i></a>, <a class="ref" href="modelc_3.html#T56" target="_self" title="MODELC_3:th.56">ThBOOL02</a></i>;<br/>
<a NAME="E2:123_1_1"/><b>then </b>
<font color="Maroon" title="c2">U</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1">(<span class="default"><a href="orders_1.html#K1" title="ORDERS_1:func.1">BOOL</a> <span class="p2">(<span class="default"><a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">v</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#T7" title="FUNCT_2:th.7">FUNCT_2:7</a></i>;<br/>
<a NAME="E3:123_1_1"/><b>then </b>
<font color="Maroon" title="c2">U</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">v</font>
 
<b>by </b><i><a class="ref" href="modelc_3.html#T55" target="_self" title="MODELC_3:th.55">ThBOOL01</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c6">F</font> being   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a><b> such that </b><br/><a NAME="E5:123_1_1"/><i><font color="Green" title="E105">B1</font></i>: 
( <font color="Maroon" title="c6">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">U</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font> &amp; <font color="Maroon" title="c6">F</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c1">v</font> )
 <b>by </b><i><a class="ref" href="modelc_2.html#D24" title="MODELC_2:def.24">MODELC_2:def 24</a></i>;<br/>
<b>thus </b><a NAME="E6:123_1_1"/>
<font color="Maroon" title="c2">U</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a>
 <b>by </b><i><a class="txt" href="#E5:123_1_1"><i><font color="Green" title="E105">B1</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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