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<span class="kw">let </span><font color="Maroon" title="c1">a</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">a</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a> iff <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:11"/>
( <font color="Maroon" title="c1">a</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a> implies <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</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">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a>  implies <font color="Maroon" title="c1">a</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a> )</span><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="11_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:11_1"/>
<font color="Maroon" title="c1">a</font> is   <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">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> </span><br/>

<a NAME="E2:11_1"/><span class="kw">then </span>
<font color="Maroon" title="c1">a</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D10" target="_self" onmouseover="rs('modelc_2/D10')" onmouseout="rh()">Def10</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:11_1"/>
<font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</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"> verum</span><br/>


</div><span class="kw">end;</span></div>

<span class="kw">assume </span><a NAME="E2:11"/>
<font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K9" title="MODELC_2:func.9">LTL_WFF</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">a</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a></span><br/>

<span class="kw">hence </span><a NAME="E3:11"/>
<font color="Maroon" title="c1">a</font> is   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D9" target="_self" onmouseover="rs('modelc_2/D9')" onmouseout="rh()">Def9</a>, <a class="ref" href="modelc_2.html#D10" target="_self" onmouseover="rs('modelc_2/D10')" onmouseout="rh()">Def10</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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