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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: SCMRING2:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">c</font> being   <a href="scmring2.html#NM1" title="SCMRING2:NM.1">Data-Location</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">i1</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Olive" title="b1">R</font></span>)</span> holds <br/> ( ( <font color="Olive" title="b5">s</font> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font> implies <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><font color="Olive" title="b2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Olive" title="b4">i1</font></span>)</span>,<font color="Olive" title="b5">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">i1</font> ) &amp; ( <font color="Olive" title="b5">s</font> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font> implies <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><font color="Olive" title="b2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Olive" title="b4">i1</font></span>)</span>,<font color="Olive" title="b5">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Olive" title="b5">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 ) &amp; <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><font color="Olive" title="b2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Olive" title="b4">i1</font></span>)</span>,<font color="Olive" title="b5">s</font>)</span>)</span> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <font color="Olive" title="b3">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <font color="Olive" title="b3">c</font> )</div></div>
