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<div><span class="kw">theorem </span><a NAME="T77"><span class="comment"><font color="firebrick">:: SCMPDS_6:77</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">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b3">I</font> being   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of  holds  <span class="p1">(<span class="default"><a href="scmpds_6.html#K7" title="SCMPDS_6:func.7">if&gt;0</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">k1</font>,<font color="Olive" title="b3">I</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">k1</font>) <a href="scmpds_2.html#K8" title="SCMPDS_2:func.8">&lt;=0_goto</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b3">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_6.html#T7" target="_self" onmouseover="rs('scmpds_6/T7')" onmouseout="rh()">Th2</a></span>;<br/></div></div>
