<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="intpro_2.html#R2" title="INTPRO_2:pred.2">is_a_proof_wrt_IPC</a> <a onclick="hs(this)" href="javascript:()">INTPRO_2:def 4 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="intpro_1.html#K1" title="INTPRO_1:func.1">MC-wff</a><br/>  for <font color="Olive" title="b2">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="intpro_1.html#K1" title="INTPRO_1:func.1">MC-wff</a>,<a href="intpro_2.html#K2" title="INTPRO_2:func.2">Proof_Step_Kinds_IPC</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> holds <br/> ( <font color="Olive" title="b2">f</font> <a href="intpro_2.html#R2" title="INTPRO_2:pred.2">is_a_proof_wrt_IPC</a> <font color="Olive" title="b1">X</font> iff ( <font color="Olive" title="b2">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; (  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">n</font> &amp; <font color="Olive" title="b3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">f</font> holds <br/><font color="Olive" title="b2">f</font>,<font color="Olive" title="b3">n</font> <a href="intpro_2.html#R1" title="INTPRO_2:pred.1">is_a_correct_step_wrt_IPC</a> <font color="Olive" title="b1">X</font> ) ) );<br/></span></div>
