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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th25</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: SCMPDS_4:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s1</font>, <font color="Olive" title="b2">s2</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Olive" title="b1">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">m</font> &amp; <font color="Olive" title="b4">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b5">k1</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Olive" title="b1">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Olive" title="b2">s2</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Olive" title="b1">s1</font>,<font color="Olive" title="b5">k1</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Olive" title="b2">s2</font>,<font color="Olive" title="b5">k1</font>)</div></div>
