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<a NAME="E1:19"/>
( <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="ltlaxio1.html#R3" title="LTLAXIO1:pred.3">|=</a>  <a href="ltlaxio1.html#K2" title="LTLAXIO1:func.2">'X'</a> <span class="p1">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> &amp;  not <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="ltlaxio5.html#R3" title="LTLAXIO5:pred.3">|=0</a>  <a href="ltlaxio1.html#K2" title="LTLAXIO1:func.2">'X'</a> <span class="p1">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio5.html#T14" target="_self" onmouseover="rs('ltlaxio5/T14')" onmouseout="rh()">th262ac1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:19"/>
 ex <font color="Olive" title="b1">F</font> being   <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> ex <font color="Olive" title="b2">A</font> being    <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>  st <br/>( <font color="Olive" title="b1">F</font> <a href="ltlaxio1.html#R3" title="LTLAXIO1:pred.3">|=</a> <font color="Olive" title="b2">A</font> &amp;  not <font color="Olive" title="b1">F</font> <a href="ltlaxio5.html#R3" title="LTLAXIO5:pred.3">|=0</a> <font color="Olive" title="b2">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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