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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th5</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: SCMPDS_5:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P1</font>, <font color="Olive" title="b2">P2</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="b3">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="b4">I</font> being   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of   st  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b4">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">P1</font> &amp;  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b4">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">P2</font> holds <br/> for <font color="Olive" title="b5">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> (  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<font color="Olive" title="b1">P1</font>,<font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<font color="Olive" title="b2">P2</font>,<font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">k</font>) &amp;  <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Olive" title="b1">P1</font>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<font color="Olive" title="b1">P1</font>,<font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">k</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Olive" title="b2">P2</font>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<font color="Olive" title="b2">P2</font>,<font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">k</font>)</span>)</span>) )</div></div>
