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<b>let </b><font color="Maroon" title="c1">F</font>, <font color="Maroon" title="c2">H</font>, <font color="Maroon" title="c3">G</font> be   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">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#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font> &amp; <font color="Maroon" title="c3">G</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font> implies <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">G</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font></span>)</span> )</span><br/>





<b>set </b><font color="Maroon" title="c4">E</font> =  <a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font>;<br/>
<b>assume </b><a NAME="E1:10"/>
( <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> &amp; <font color="Maroon" title="c3">G</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</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"> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">G</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font></span>)</span></span><br/>

<a NAME="E2:10"/><b>then </b>
( <font color="Maroon" title="c1">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font> &amp; <font color="Maroon" title="c3">G</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font> )
 
<b>by </b><i><a class="ref" href="modelc_2.html#T45" title="MODELC_2:th.45">MODELC_2:45</a></i>;<br/>
<b>hence </b><a NAME="E3:10"/>
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">G</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K13" title="MODELC_2:func.13">Subformulae</a> <font color="Maroon" title="c2">H</font></span>)</span>
 <b>by </b><i><a class="ref" href="subset_1.html#T56" title="SUBSET_1:th.56">SUBSET_1:56</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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