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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: SCMRING1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> <br/>  for <font color="Olive" title="b2">s</font> being   <a href="scmring1.html#NM1" title="SCMRING1:NM.1">SCM-State</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">t</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K2" title="AMI_2:func.2">SCM-Data-Loc</a> <br/>  for <font color="Olive" title="b4">u</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b5">mk</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K2" title="AMI_2:func.2">SCM-Data-Loc</a>   st <font color="Olive" title="b5">mk</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">t</font> holds <br/><span class="p1">(<span class="default"><a href="scmring1.html#K4" title="SCMRING1:func.4">SCM-Chg</a> (<font color="Olive" title="b2">s</font>,<font color="Olive" title="b3">t</font>,<font color="Olive" title="b4">u</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">mk</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">mk</font></div></div>
