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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E38">defaxpl3</font></span>   defines <a href="pl_axiom.html#V7" title="PL_AXIOM:attr.7">axpl3</a> <a onclick="hs(this)" href="javascript:()">PL_AXIOM:def 24 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="pl_axiom.html#K1" title="PL_AXIOM:func.1">PL-WFF</a>  holds <br/> ( <font color="Olive" title="b1">A</font> is  <a href="pl_axiom.html#V7" title="PL_AXIOM:attr.7">axpl3</a>  iff  ex <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="pl_axiom.html#K1" title="PL_AXIOM:func.1">PL-WFF</a>  st <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pl_axiom.html#K6" title="PL_AXIOM:func.6">'not'</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <span class="p2">(<span class="default"><a href="pl_axiom.html#K6" title="PL_AXIOM:func.6">'not'</a> <font color="Olive" title="b2">p</font></span>)</span></span>)</span> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pl_axiom.html#K6" title="PL_AXIOM:func.6">'not'</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <font color="Olive" title="b3">q</font></span>)</span> );<br/></span></div>
