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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th39</font></span>: <a NAME="T41"><span class="comment"><font color="firebrick">:: SCMPDS_7:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a><br/>  for <font color="Olive" title="b2">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">I</font> being   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of  holds   <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="scmpds_7.html#K2" title="SCMPDS_7:func.2">for-down</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">n</font>,<font color="Olive" title="b4">I</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</div></div>
