<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="pl_axiom.html#K10" title="PL_AXIOM:func.10">&lt;=&gt;</a> <a onclick="hs(this)" href="javascript:()">PL_AXIOM:def 13 : <br/></a><span> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">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>  holds  <font color="Olive" title="b1">p</font> <a href="pl_axiom.html#K10" title="PL_AXIOM:func.10">&lt;=&gt;</a> <font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <font color="Olive" title="b2">q</font></span>)</span> <a href="pl_axiom.html#K8" title="PL_AXIOM:func.8">'&amp;'</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">q</font> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <font color="Olive" title="b1">p</font></span>)</span>;<br/></span></div>
