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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: SFMASTR3:37</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">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a> <br/>  for <font color="Olive" title="b3">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="b4">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>  st <font color="Olive" title="b4">S</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p1">(<span class="default"><a href="sfmastr3.html#K5" title="SFMASTR3:func.5">Selection-sort</a> <font color="Olive" title="b2">f</font></span>)</span>,<font color="Olive" title="b3">p</font>,<font color="Olive" title="b1">s</font>) holds <br/>( <font color="Olive" title="b4">S</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b2">f</font> <a href="finseq_6.html#R1" title="FINSEQ_6:pred.1">is_non_decreasing_on</a> 1, <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">S</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b2">f</font></span>)</span> &amp;  ex <font color="Olive" title="b5">p</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">s</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b2">f</font></span>)</span></span>)</span> st <font color="Olive" title="b4">S</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b5">p</font> )</div></div>
