<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#V11" title="PROOFS_1:attr.11">consistent</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 21 : <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> <br/>  for <font color="Olive" title="b2">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">P</font> holds <br/> ( <font color="Olive" title="b2">B</font> is  <a href="proofs_1.html#V11" title="PROOFS_1:attr.11">consistent</a>  iff <font color="Olive" title="b1">P</font> <a href="proofs_1.html#K9" title="PROOFS_1:func.9">\/</a> <font color="Olive" title="b2">B</font> is  <a href="proofs_1.html#V10" title="PROOFS_1:attr.10">consistent</a>  );<br/></span></div>
