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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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 <font color="Olive" title="b1">a</font>,<font color="Maroon" title="c6">k1</font> <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">&gt;=0_goto</a> <font color="Maroon" title="c7">k2</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a></span><br/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> not <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font> <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">&gt;=0_goto</a> <font color="Maroon" title="c7">k2</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a></span><br/>





<b>consider </b><font color="Maroon" title="c9">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> <b> such that </b><br/><a NAME="E2:82"/><i><font color="Green" title="E52">A1</font></i>: 
for <font color="Olive" title="b1">d</font> being   <a href="scmpds_2.html#M1" title="SCMPDS_2:mode.1">Int_position</a>  holds  <font color="Maroon" title="c9">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Olive" title="b1">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1
 <b>by </b><i><a class="ref" href="scmpds_2.html#T73" target="_self" title="SCMPDS_2:th.73">Th73</a></i>;<br/>
<a NAME="E3:82"/>
<font color="Maroon" title="c9">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c8">a</font></span>)</span>,<font color="Maroon" title="c6">k1</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1
 
<b>by </b><i><a class="txt" href="#E2:82"><i><font color="Green" title="E52">A1</font></i></a></i>;<br/>
<a NAME="E4:82"/><b>then </b>
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font> <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">&gt;=0_goto</a> <font color="Maroon" title="c7">k2</font></span>)</span>,<font color="Maroon" title="c9">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c9">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_2.html#T69" target="_self" title="SCMPDS_2:th.69">Th69</a></i>;<br/>
<b>hence </b><a NAME="E5:82"/>
not <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c6">k1</font> <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">&gt;=0_goto</a> <font color="Maroon" title="c7">k2</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>
 <b>by </b><i><a class="ref" href="scmpds_2.html#T76" target="_self" title="SCMPDS_2:th.76">Th76</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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