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<span class="kw">let </span><font color="Maroon" title="c47">p0</font>, <font color="Maroon" title="c48">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c47">p0</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 7 implies  <a href="scpqsort.html#K2" title="SCPQSORT:func.2">QuickSort</a> <font color="Maroon" title="c48">n</font>,<font color="Maroon" title="c47">p0</font> is  <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:47"/>
<font color="Maroon" title="c47">p0</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 7
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="scpqsort.html#K2" title="SCPQSORT:func.2">QuickSort</a> <font color="Maroon" title="c48">n</font>,<font color="Maroon" title="c47">p0</font> is  <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a> </span><br/>

<a NAME="E2:47"/><span class="kw">then </span>
for <font color="Olive" title="b1">s</font> being  <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  holds   <a href="scpqsort.html#K2" title="SCPQSORT:func.2">QuickSort</a> <font color="Maroon" title="c48">n</font>,<font color="Maroon" title="c47">p0</font> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Olive" title="b1">s</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="scpqsort.html#E46"><span class="lab"><font color="Green" title="E40">Lm29</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:47"/>
 <a href="scpqsort.html#K2" title="SCPQSORT:func.2">QuickSort</a> <font color="Maroon" title="c48">n</font>,<font color="Maroon" title="c47">p0</font> is  <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_6.html#T35" title="SCMPDS_6:th.35">SCMPDS_6:35</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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