<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="ltlaxio5.html#R7" title="LTLAXIO5:pred.7">IND0_rule</a> <a onclick="hs(this)" href="javascript:()">LTLAXIO5:def 9 : <br/></a><span> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">r</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>  holds <br/> ( <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="ltlaxio5.html#R7" title="LTLAXIO5:pred.7">IND0_rule</a> <font color="Olive" title="b3">r</font> iff  ex <font color="Olive" title="b4">A</font>, <font color="Olive" title="b5">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>  st <br/>( <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">A</font> <a href="hilbert1.html#K3" title="HILBERT1:func.3">=&gt;</a> <font color="Olive" title="b5">B</font></span>)</span> &amp; <font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">A</font> <a href="hilbert1.html#K3" title="HILBERT1:func.3">=&gt;</a> <span class="p2">(<span class="default"><a href="ltlaxio1.html#K2" title="LTLAXIO1:func.2">'X'</a> <font color="Olive" title="b4">A</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">A</font> <a href="hilbert1.html#K3" title="HILBERT1:func.3">=&gt;</a> <span class="p2">(<span class="default"><a href="ltlaxio1.html#K6" title="LTLAXIO1:func.6">'G'</a> <font color="Olive" title="b5">B</font></span>)</span></span>)</span> ) );<br/></span></div>
