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<div>:: <span class="kw">deftheorem </span>   defines <a href="calcul_1.html#V1" title="CALCUL_1:attr.1">a_proof</a> <a onclick="hs(this)" href="javascript:()">CALCUL_1:def 8 : <br/></a><span> for <font color="Olive" title="b1">Al</font> being    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> <br/>  for <font color="Olive" title="b2">PR</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"><span class="p2">(<span class="default"><a href="calcul_1.html#K4" title="CALCUL_1:func.4">set_of_CQC-WFF-seq</a> <font color="Olive" title="b1">Al</font></span>)</span>,<a href="cqc_the1.html#K2" title="CQC_THE1:func.2">Proof_Step_Kinds</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> holds <br/> ( <font color="Olive" title="b2">PR</font> is  <a href="calcul_1.html#V1" title="CALCUL_1:attr.1">a_proof</a>  iff ( <font color="Olive" title="b2">PR</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">PR</font> holds <br/><font color="Olive" title="b2">PR</font>,<font color="Olive" title="b3">n</font> <a href="calcul_1.html#R3" title="CALCUL_1:pred.3">is_a_correct_step</a>  ) ) );<br/></span></div>
