<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="pl_axiom.html#V8" title="PL_AXIOM:attr.8">consistent</a> <a onclick="hs(this)" href="javascript:()">PL_AXIOM:def 27 : <br/></a><span> for <font color="Olive" title="b1">F</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="pl_axiom.html#K1" title="PL_AXIOM:func.1">PL-WFF</a> holds <br/> ( <font color="Olive" title="b1">F</font> is  <a href="pl_axiom.html#V8" title="PL_AXIOM:attr.8">consistent</a>  iff  for <font color="Olive" title="b2">p</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/>(  not <font color="Olive" title="b1">F</font> <a href="pl_axiom.html#R6" title="PL_AXIOM:pred.6">|-</a> <font color="Olive" title="b2">p</font> or  not <font color="Olive" title="b1">F</font> <a href="pl_axiom.html#R6" title="PL_AXIOM:pred.6">|-</a>  <a href="pl_axiom.html#K6" title="PL_AXIOM:func.6">'not'</a> <font color="Olive" title="b2">p</font> ) );<br/></span></div>
