<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#V10" title="PROOFS_1:attr.10">consistent</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 19 : <br/></a><span> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="proofs_1.html#L1" title="PROOFS_1:struct.1">ProofSystem</a>  holds <br/> ( <font color="Olive" title="b1">P</font> is  <a href="proofs_1.html#V10" title="PROOFS_1:attr.10">consistent</a>  iff  ex <font color="Olive" title="b2">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  st <br/>( <font color="Olive" title="b2">a</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b1">P</font> &amp;  not <font color="Olive" title="b1">P</font> <a href="proofs_1.html#R3" title="PROOFS_1:pred.3">|-</a> <font color="Olive" title="b2">a</font> ) );<br/></span></div>
