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<b>let </b><font color="Maroon" title="c1">F</font>, <font color="Maroon" title="c2">H</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">F</font> <a href="modelc_2.html#R3" title="MODELC_2:pred.3">is_proper_subformula_of</a>  <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c2">H</font> implies <font color="Maroon" title="c1">F</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font> )</span><br/>



<b>assume </b><a NAME="E1:76"/><i><font color="Green" title="E70">A1</font></i>: 
<font color="Maroon" title="c1">F</font> <a href="modelc_2.html#R3" title="MODELC_2:pred.3">is_proper_subformula_of</a>  <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c2">H</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">F</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font></span><br/>

<a NAME="E2:76"/><i><font color="Green" title="E71">A2</font></i>: 
 <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c2">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a>
 
<b>by </b><i><a class="ref" href="modelc_2.html#D15" target="_self" title="MODELC_2:def.15">Def18</a></i>;<br/>
<a NAME="E3:76"/><b>then </b>
not  <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c2">H</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a>
 
<b>by </b><i><a class="txt" href="modelc_2.html#E39"><i><font color="Green" title="E32">Lm17</font></i></a></i>;<br/>
<a NAME="E4:76"/><b>then </b>
 <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c2">H</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">H</font>
 
<b>by </b><i><a class="txt" href="modelc_2.html#E2:76"><i><font color="Green" title="E71">A2</font></i></a>, <a class="ref" href="modelc_2.html#D18" target="_self" title="MODELC_2:def.18">Def21</a></i>;<br/>
<b>hence </b><a NAME="E5:76"/>
<font color="Maroon" title="c1">F</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font>
 <b>by </b><i><a class="txt" href="modelc_2.html#E1:76"><i><font color="Green" title="E70">A1</font></i></a>, <a class="txt" href="modelc_2.html#E2:76"><i><font color="Green" title="E71">A2</font></i></a>, <a class="ref" href="modelc_2.html#T37" target="_self" title="MODELC_2:th.37">Th123</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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