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<div><span class="kw">theorem </span><a NAME="T52"><span class="comment"><font color="firebrick">:: SCMPDS_6:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">s</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b3">I</font> being   <a href="compos_1.html#V2" title="COMPOS_1:attr.2">halt-free</a>   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of <br/>  for <font color="Olive" title="b4">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a><br/>  for <font color="Olive" title="b5">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> holds   <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_6.html#K5" title="SCMPDS_6:func.5">if=0</a> (<font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">k1</font>,<font color="Olive" title="b3">I</font>)</span>)</span>,<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">s</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="b3">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</div></div>
