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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: SCPQSORT:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">s</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <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">p0</font>, <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">p0</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 7 holds <br/> ex <font color="Olive" title="b5">f</font>, <font color="Olive" title="b6">g</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  st <br/>(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b5">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">n</font> &amp; <font color="Olive" title="b5">f</font> <a href="scpisort.html#R1" title="SCPISORT:pred.1">is_FinSequence_on</a> <font color="Olive" title="b2">s</font>,<font color="Olive" title="b3">p0</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b6">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">n</font> &amp; <font color="Olive" title="b6">g</font> <a href="scpisort.html#R1" title="SCPISORT:pred.1">is_FinSequence_on</a>  <a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p1">(<span class="default"><a href="scpqsort.html#K2" title="SCPQSORT:func.2">QuickSort</a> (<font color="Olive" title="b4">n</font>,<font color="Olive" title="b3">p0</font>)</span>)</span>,<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">s</font>),<font color="Olive" title="b3">p0</font> &amp; <font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font> <a href="classes1.html#R2" title="CLASSES1:pred.2">are_fiberwise_equipotent</a>  &amp; <font color="Olive" title="b6">g</font> <a href="finseq_6.html#R1" title="FINSEQ_6:pred.1">is_non_decreasing_on</a> 1,<font color="Olive" title="b4">n</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="scpqsort.html#E42"><span class="lab"><font color="Green" title="E39">Lm28</font></span></a></span>;<br/></div></div>
