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<b>let </b><font color="Maroon">c<sub>47</sub></font>, <font color="Maroon">c<sub>48</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

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

<a NAME="E2:47"/><b>then </b>
for <font color="Olive">b<sub>1</sub></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">c<sub>48</sub></font>,<font color="Maroon">c<sub>47</sub></font> <a href="scmpds_6.html#R2">is_halting_on</a> <font color="Olive">b<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="scpqsort.html#E46"><i><font color="Green">Lemma43</font></i></a></i>;<br/>
<b>hence </b><a NAME="E3:47"/>
 <a href="scpqsort.html#K2" target="_self">QuickSort</a> <font color="Maroon">c<sub>48</sub></font>,<font color="Maroon">c<sub>47</sub></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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