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<b>let </b><font color="Maroon" title="c1">k1</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"> ( <font color="Maroon" title="c1">k1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  implies  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <font color="Maroon" title="c1">k1</font> is <a href="scmpds_5.html#V1" title="SCMPDS_5:attr.1">No-StopCode</a> )</span><br/>

<b>set </b><font color="Maroon" title="c2">i</font> =  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <font color="Maroon" title="c1">k1</font>;<br/>
<b>assume </b><a NAME="E1:25"/><i><font color="Green" title="E23">A1</font></i>: 
<font color="Maroon" title="c1">k1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <font color="Maroon" title="c1">k1</font> is <a href="scmpds_5.html#V1" title="SCMPDS_5:attr.1">No-StopCode</a></span><br/>

<b>assume </b><a NAME="E2:25"/>
not  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <font color="Maroon" title="c1">k1</font> is <a href="scmpds_5.html#V1" title="SCMPDS_5:attr.1">No-StopCode</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E3:25"/><b>then </b>
 <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <font color="Maroon" title="c1">k1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 
<b>by </b><i><a class="ref" href="scmpds_5.html#D1" target="_self" title="SCMPDS_5:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E4:25"/>
contradiction
 <b>by </b><i><a class="txt" href="scmpds_5.html#E1:25"><i><font color="Green" title="E23">A1</font></i></a>, <a class="ref" href="scmpds_2.html#T85" title="SCMPDS_2:th.85">SCMPDS_2:85</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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