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<b>let </b><font color="Maroon">p0</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><a NAME="E1:47"/>
<font color="Maroon">p0</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 7
 ;<br/>

<a NAME="E2:47"/><b>then </b>
for <font color="Olive">s</font> being  <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a>  holds   <a href="scpqsort.html#K2" target="_self">QuickSort</a> <font color="Maroon">n</font>,<font color="Maroon">p0</font> <a href="scmpds_6.html#R2">is_halting_on</a> <font color="Olive">s</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:47"/>
 <a href="scpqsort.html#K2" target="_self">QuickSort</a> <font color="Maroon">n</font>,<font color="Maroon">p0</font> is <a href="scmpds_4.html#V2">parahalting</a>
 <b>by </b><i><a class="ref" href="scmpds_6.html#T35">SCMPDS_6:35</a></i>;<br/>


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