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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th39</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: SCMFSA9A:39</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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a><br/>  for <font color="Olive" title="b2">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="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">Ig</font> being   <a href="scmfsa7b.html#V1" title="SCMFSA7B:attr.1">good</a>   <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">really-closed</a>  <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>   st <font color="Olive" title="b2">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="scmfsa9a.html#R3" title="SCMFSA9A:pred.3">ProperBodyWhile&gt;0</a> <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b2">s</font>,<font color="Olive" title="b1">p</font> &amp;  <a href="scmfsa9a.html#R4" title="SCMFSA9A:pred.4">WithVariantWhile&gt;0</a> <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b2">s</font>,<font color="Olive" title="b1">p</font> holds <br/> for <font color="Olive" title="b5">i</font>, <font color="Olive" title="b6">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b5">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b6">j</font> &amp; <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="scmfsa9a.html#K2" title="SCMFSA9A:func.2">ExitsAtWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>) &amp; <font color="Olive" title="b6">j</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="scmfsa9a.html#K2" title="SCMFSA9A:func.2">ExitsAtWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>) holds <br/>( <span class="p1">(<span class="default"><a href="scmfsa_9.html#K2" title="SCMFSA_9:func.2">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K2" title="SCMFSA_9:func.2">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b6">j</font> &amp;  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K2" title="SCMFSA_9:func.2">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">i</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K2" title="SCMFSA_9:func.2">StepWhile&gt;0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">Ig</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b6">j</font></span>)</span> )</div></div>
