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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">assume </span><a NAME="E1:63"/><span class="lab"><font color="Green" title="E53">A1</font></span>: 
( <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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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="E2:63"/><span class="kw">then </span>
 <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>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T22" target="_self" onmouseover="rs('modelc_2/T22')" onmouseout="rh()">Th22</a>, <a class="ref" href="modelc_2.html#T23" target="_self" onmouseover="rs('modelc_2/T23')" onmouseout="rh()">Th23</a>, <a class="ref" href="modelc_2.html#T24" target="_self" onmouseover="rs('modelc_2/T24')" onmouseout="rh()">Th24</a>, <a class="ref" href="modelc_2.html#T25" target="_self" onmouseover="rs('modelc_2/T25')" onmouseout="rh()">Th25</a></span>;<br/>
<a NAME="E3:63"/><span class="kw">then </span><span class="lab"><font color="Green" title="E54">A2</font></span>: 
 <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>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T29" target="_self" onmouseover="rs('modelc_2/T29')" onmouseout="rh()">Th29</a></span>;<br/>
<a NAME="E4:63"/>
 <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>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:63"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="ref" href="modelc_2.html#T22" target="_self" onmouseover="rs('modelc_2/T22')" onmouseout="rh()">Th22</a>, <a class="ref" href="modelc_2.html#T23" target="_self" onmouseover="rs('modelc_2/T23')" onmouseout="rh()">Th23</a>, <a class="ref" href="modelc_2.html#T24" target="_self" onmouseover="rs('modelc_2/T24')" onmouseout="rh()">Th24</a>, <a class="ref" href="modelc_2.html#T25" target="_self" onmouseover="rs('modelc_2/T25')" onmouseout="rh()">Th25</a></span>;<br/>
<a NAME="E5:63"/><span class="kw">then </span>
 <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>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T29" target="_self" onmouseover="rs('modelc_2/T29')" onmouseout="rh()">Th29</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:63"/>
(  <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 class="kw">by</span> <span class="lab"><a class="txt" href="#E3:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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