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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: SCMISORT:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <br/>  for <font color="Olive" title="b3">a</font> being   <a href="scmfsa_m.html#NV2" title="SCMFSA_M:NV.2">read-write</a>  <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><br/>  for <font color="Olive" title="b4">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">P</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> holds  <span class="p1">(<span class="default"><a href="scmisort.html#K1" title="SCMISORT:func.1">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">P</font>,<font color="Olive" title="b1">s</font>,<font color="Olive" title="b2">I</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <span class="p1">(<span class="default"><a href="scmisort.html#K1" title="SCMISORT:func.1">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">P</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmisort.html#K1" title="SCMISORT:func.1">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">P</font>,<font color="Olive" title="b1">s</font>,<font color="Olive" title="b2">I</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">k</font></span>)</span>,<font color="Olive" title="b2">I</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> 1</div></div>
