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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th11</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: INTPRO_2:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">l</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">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="b3">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>  st <font color="Olive" title="b3">f</font> <a href="intpro_2.html#R2" title="INTPRO_2:pred.2">is_a_proof_wrt_IPC</a> <font color="Olive" title="b2">X</font> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">l</font> &amp; <font color="Olive" title="b1">l</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="b3">f</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">l</font></span>)</span> <a href="xtuple_0.html#K1" title="XTUPLE_0:func.1">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="intpro_1.html#K7" title="INTPRO_1:func.7">CnIPC</a> <font color="Olive" title="b2">X</font></div></div>
