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<span class="kw">let </span><font color="Maroon" title="c6">k1</font>, <font color="Maroon" title="c7">k2</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">a</font> being    <a href="scmpds_2.html#M1" title="SCMPDS_2:mode.1">Int_position</a>   holds  not  <a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<font color="Olive" title="b1">a</font>,<font color="Maroon" title="c6">k1</font>,<font color="Maroon" title="c7">k2</font>) is  <a href="extpro_1.html#V2" title="EXTPRO_1:attr.2">halting</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c8">a</font> be    <a href="scmpds_2.html#M1" title="SCMPDS_2:mode.1">Int_position</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not  <a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font>,<font color="Maroon" title="c7">k2</font>) is  <a href="extpro_1.html#V2" title="EXTPRO_1:attr.2">halting</a> </span><br/>





<span class="kw">set </span><font color="Maroon" title="c9">s</font> =  the   <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/>
<a NAME="E1:72"/>
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font>,<font color="Maroon" title="c7">k2</font>)</span>)</span>, the   <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>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">succ</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K3" title="MEMSTR_0:func.3">IC</a>  the   <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></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T48" target="_self" title="SCMPDS_2:th.48">Th60</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:72"/>
 not  <a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font>,<font color="Maroon" title="c7">k2</font>) is  <a href="extpro_1.html#V2" title="EXTPRO_1:attr.2">halting</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T64" target="_self" title="SCMPDS_2:th.64">Th76</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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