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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: LTLAXIO1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</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> <br/>  for <font color="Olive" title="b3">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> holds <br/> ( <font color="Olive" title="b3">F</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">A</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="ltlaxio1.html#R3" title="LTLAXIO1:pred.3">|=</a> <font color="Olive" title="b2">B</font> iff <font color="Olive" title="b3">F</font> <a href="ltlaxio1.html#R3" title="LTLAXIO1:pred.3">|=</a> <span class="p1">(<span class="default"><a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="hilbert1.html#K3" title="HILBERT1:func.3">=&gt;</a> <font color="Olive" title="b2">B</font> )</div></div>
