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<b>let </b><font color="Maroon" title="c1">G</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"> ( ( <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> ) implies  <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">G</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c1">G</font> )</span><br/>

<b>assume </b><a NAME="E1:66"/>
( <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">G</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c1">G</font></span><br/>

<a NAME="E2:66"/><b>then </b>
 <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">G</font> <a href="modelc_2.html#R1" title="MODELC_2:pred.1">is_immediate_constituent_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="ref" href="modelc_2.html#T20" target="_self" title="MODELC_2:th.20">Th108</a>, <a class="ref" href="modelc_2.html#T21" target="_self" title="MODELC_2:th.21">Th109</a></i>;<br/>
<a NAME="E3:66"/><b>then </b>
 <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">G</font> <a href="modelc_2.html#R3" title="MODELC_2:pred.3">is_proper_subformula_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="ref" href="modelc_2.html#T29" target="_self" title="MODELC_2:th.29">Th117</a></i>;<br/>
<b>hence </b><a NAME="E4:66"/>
 <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">G</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="ref" href="modelc_2.html#D23" target="_self" title="MODELC_2:def.23">Def102</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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