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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">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<b>thus </b><a NAME="E1:19"/>
( <span class="p1">(<span class="default"><a href="scmpds_4.html#K9">IExec</a> <span class="p2">(<span class="default"><a href="scpinvar.html#K2" target="_self">Fib-macro</a> <font color="Maroon">n</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1">intpos</a> 1</span>)</span> <a href="hidden.html#R1">=</a>  <a href="pre_ff.html#K3">Fib</a> <font color="Maroon">n</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K9">IExec</a> <span class="p2">(<span class="default"><a href="scpinvar.html#K2" target="_self">Fib-macro</a> <font color="Maroon">n</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1">intpos</a> 2</span>)</span> <a href="hidden.html#R1">=</a>  <a href="pre_ff.html#K3">Fib</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> )
 <b>by </b><i/>;<br/>

<a NAME="E2:19"/>
for <font color="Olive">t</font> being  <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a>  holds   <a href="scpinvar.html#K2" target="_self">Fib-macro</a> <font color="Maroon">n</font> <a href="scmpds_6.html#R2">is_halting_on</a> <font color="Olive">t</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:19"/>
 <a href="scpinvar.html#K2" target="_self">Fib-macro</a> <font color="Maroon">n</font> is <a href="scmpds_4.html#V2">parahalting</a>
 <b>by </b><i><a class="ref" href="scmpds_6.html#T35">SCMPDS_6:35</a></i>;<br/>


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