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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_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">  for <font color="Olive" title="b1">M</font> being   <a href="ltlaxio1.html#NM1" title="LTLAXIO1:NM.1">LTLModel</a>  st <font color="Olive" title="b1">M</font> <a href="ltlaxio1.html#R2" title="LTLAXIO1:pred.2">|=</a> <font color="Maroon" title="c1">F</font> holds <br/><font color="Olive" title="b1">M</font> <a href="ltlaxio5.html#R2" title="LTLAXIO5:pred.2">|=0</a> <font color="Maroon" title="c1">F</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">M</font> be   <a href="ltlaxio1.html#NM1" title="LTLAXIO1:NM.1">LTLModel</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="c2">M</font> <a href="ltlaxio1.html#R2" title="LTLAXIO1:pred.2">|=</a> <font color="Maroon" title="c1">F</font> implies <font color="Maroon" title="c2">M</font> <a href="ltlaxio5.html#R2" title="LTLAXIO5:pred.2">|=0</a> <font color="Maroon" title="c1">F</font> )</span><br/>



<span class="kw">assume </span><a NAME="E1:12"/><span class="lab"><font color="Green" title="E10">Z1</font></span>: 
<font color="Maroon" title="c2">M</font> <a href="ltlaxio1.html#R2" title="LTLAXIO1:pred.2">|=</a> <font color="Maroon" title="c1">F</font>
 ; <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="c2">M</font> <a href="ltlaxio5.html#R2" title="LTLAXIO5:pred.2">|=0</a> <font color="Maroon" title="c1">F</font></span><br/>

<span class="kw">let </span><font color="Maroon" title="c3">A</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="ltlaxio5.html#D2" target="_self" onmouseover="rs('ltlaxio5/D2')" onmouseout="rh()">LTLAXIO5:def 2</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="c3">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">F</font> implies <font color="Maroon" title="c2">M</font> <a href="ltlaxio5.html#R1" title="LTLAXIO5:pred.1">|=0</a> <font color="Maroon" title="c3">A</font> )</span><br/>

<span class="kw">assume </span><a NAME="E2:12"/>
<font color="Maroon" title="c3">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">F</font>
 ; <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="c2">M</font> <a href="ltlaxio5.html#R1" title="LTLAXIO5:pred.1">|=0</a> <font color="Maroon" title="c3">A</font></span><br/>

<a NAME="E3:12"/><span class="kw">then </span>
<font color="Maroon" title="c2">M</font> <a href="ltlaxio1.html#R1" title="LTLAXIO1:pred.1">|=</a> <font color="Maroon" title="c3">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:12"><span class="lab"><font color="Green" title="E10">Z1</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:12"/>
<font color="Maroon" title="c2">M</font> <a href="ltlaxio5.html#R1" title="LTLAXIO5:pred.1">|=0</a> <font color="Maroon" title="c3">A</font>
 ; <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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