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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#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> ) implies (  <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_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> &amp;  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_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="E1:67"/><i><font color="Green" title="E65">A1</font></i>: 
( <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">G</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</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#K11" title="MODELC_2:func.11">the_left_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> &amp;  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_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="E2:67"/><b>then </b>
 <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_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#T22" target="_self" title="MODELC_2:th.22">Th110</a>, <a class="ref" href="modelc_2.html#T23" target="_self" title="MODELC_2:th.23">Th111</a>, <a class="ref" href="modelc_2.html#T24" target="_self" title="MODELC_2:th.24">Th112</a>, <a class="ref" href="modelc_2.html#T25" target="_self" title="MODELC_2:th.25">Th113</a></i>;<br/>
<a NAME="E3:67"/><b>then </b><i><font color="Green" title="E66">A2</font></i>: 
 <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_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/>
<a NAME="E4:67"/>
 <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_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="txt" href="modelc_2.html#E1:67"><i><font color="Green" title="E65">A1</font></i></a>, <a class="ref" href="modelc_2.html#T22" target="_self" title="MODELC_2:th.22">Th110</a>, <a class="ref" href="modelc_2.html#T23" target="_self" title="MODELC_2:th.23">Th111</a>, <a class="ref" href="modelc_2.html#T24" target="_self" title="MODELC_2:th.24">Th112</a>, <a class="ref" href="modelc_2.html#T25" target="_self" title="MODELC_2:th.25">Th113</a></i>;<br/>
<a NAME="E5:67"/><b>then </b>
 <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_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="E6:67"/>
(  <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_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> &amp;  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_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>, <a class="txt" href="modelc_2.html#E3:67"><i><font color="Green" title="E66">A2</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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