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<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/><b>let </b><font color="Maroon">I</font> be   <a href="scmpds_4.html#NM1">Program-block</a>;<br/><b>let </b><font color="Maroon">J</font> be  <a href="scmpds_4.html#V2">parahalting</a> <a href="scmpds_4.html#V3">shiftable</a> <a href="scmpds_4.html#NM1">Program-block</a>;<br/>





<b>assume </b><a NAME="E1:11"/><i><font color="Green">E44</font></i>: 
( <font color="Maroon">I</font> <a href="scmpds_6.html#R1">is_closed_on</a> <font color="Maroon">s</font> &amp; <font color="Maroon">I</font> <a href="scmpds_6.html#R2">is_halting_on</a> <font color="Maroon">s</font> )
 ;<br/>

<a NAME="E2:11"/>
( <font color="Maroon">J</font> <a href="scmpds_6.html#R1">is_closed_on</a>  <a href="scmpds_4.html#K9">IExec</a> <font color="Maroon">I</font>,<font color="Maroon">s</font> &amp; <font color="Maroon">J</font> <a href="scmpds_6.html#R2">is_halting_on</a>  <a href="scmpds_4.html#K9">IExec</a> <font color="Maroon">I</font>,<font color="Maroon">s</font> )
 
<b>by </b><i><a class="ref" href="scmpds_6.html#T34">SCMPDS_6:34</a>, <a class="ref" href="scmpds_6.html#T35">SCMPDS_6:35</a></i>;<br/>
<b>hence </b><a NAME="E3:11"/>
( <font color="Maroon">I</font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">J</font> <a href="scmpds_6.html#R1">is_closed_on</a> <font color="Maroon">s</font> &amp; <font color="Maroon">I</font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">J</font> <a href="scmpds_6.html#R2">is_halting_on</a> <font color="Maroon">s</font> )
 <b>by </b><i>, <a class="ref" href="scmpds_7.html#T43">SCMPDS_7:43</a></i>;<br/>


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