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<span class="kw">let </span><font color="Maroon" title="c1">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> ; <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">F</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <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>  st <font color="Olive" title="b1">F</font> <a href="ltlaxio5.html#R9" title="LTLAXIO5:pred.9">|-0</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Maroon" title="c1">A</font> holds <br/><font color="Olive" title="b1">F</font> <a href="ltlaxio1.html#R8" title="LTLAXIO1:pred.8">|-</a> <font color="Maroon" title="c1">A</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">F</font> be   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <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"> ( <font color="Maroon" title="c2">F</font> <a href="ltlaxio5.html#R9" title="LTLAXIO5:pred.9">|-0</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Maroon" title="c1">A</font> implies <font color="Maroon" title="c2">F</font> <a href="ltlaxio1.html#R8" title="LTLAXIO1:pred.8">|-</a> <font color="Maroon" title="c1">A</font> )</span><br/>



<span class="kw">assume </span><a NAME="E1:63"/>
<font color="Maroon" title="c2">F</font> <a href="ltlaxio5.html#R9" title="LTLAXIO5:pred.9">|-0</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Maroon" title="c1">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"> <font color="Maroon" title="c2">F</font> <a href="ltlaxio1.html#R8" title="LTLAXIO1:pred.8">|-</a> <font color="Maroon" title="c1">A</font></span><br/>

<a NAME="E2:63"/><span class="kw">then </span>
<font color="Maroon" title="c2">F</font> <a href="ltlaxio5.html#R3" title="LTLAXIO5:pred.3">|=0</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Maroon" title="c1">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio5.html#T35" target="_self" onmouseover="rs('ltlaxio5/T35')" onmouseout="rh()">th266</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:63"/>
<font color="Maroon" title="c2">F</font> <a href="ltlaxio1.html#R8" title="LTLAXIO1:pred.8">|-</a> <font color="Maroon" title="c1">A</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio4.html#T33" onmouseover="rs('ltlaxio4/T33')" onmouseout="rh()">LTLAXIO4:33</a>, <a class="ref" href="ltlaxio5.html#T16" target="_self" onmouseover="rs('ltlaxio5/T16')" onmouseout="rh()">th21</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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