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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th14</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: SFMASTR3:16</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">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="b3">bb</font>, <font color="Olive" title="b4">cc</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><br/>  for <font color="Olive" title="b5">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="b6">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>  st <font color="Olive" title="b1">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 holds <br/> for <font color="Olive" title="b7">aux</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>  st <font color="Olive" title="b7">aux</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="scmfsa_m.html#NK10" title="SCMFSA_M:NK.10">-stRWNotIn</a> <span class="p1">(<span class="default"><span class="p2"><a href="scmfsa_m.html#K6" title="SCMFSA_M:func.6">{</a><span class="default"><font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">bb</font>,<font color="Olive" title="b4">cc</font></span><a href="scmfsa_m.html#K6" title="SCMFSA_M:func.6">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p2">(<span class="default"><a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Olive" title="b5">I</font></span>)</span></span>)</span> holds <br/> <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Olive" title="b7">aux</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Olive" title="b4">cc</font></span>)</span> <a href="scmfsa6a.html#K5" title="SCMFSA6A:func.5">";"</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">SubFrom</a> (<font color="Olive" title="b7">aux</font>,<font color="Olive" title="b3">bb</font>)</span>)</span></span>)</span> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">";"</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">AddTo</a> (<font color="Olive" title="b7">aux</font>,<span class="p5">(<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>)</span>)</span></span>)</span> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">";"</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Olive" title="b3">bb</font></span>)</span></span>)</span>,<font color="Olive" title="b6">p</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><font color="Olive" title="b1">s</font> <a href="funct_7.html#K1" title="FUNCT_7:func.1">+*</a> (<font color="Olive" title="b7">aux</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">cc</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p5">(<span class="default"><font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">bb</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>)</span>)</span> <a href="funct_7.html#K1" title="FUNCT_7:func.1">+*</a> (<font color="Olive" title="b2">a</font>,<span class="p2">(<span class="default"><font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">bb</font></span>)</span>)</span>)</span></div></div>
