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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: TURING_1:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="turing_1.html#NM4" title="TURING_1:NM.4">All-State</a> of <a href="turing_1.html#K13" title="TURING_1:func.13">SumTuring</a><br/>  for <font color="Olive" title="b2">t</font> being   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <a href="turing_1.html#K13" title="TURING_1:func.13">SumTuring</a><br/>  for <font color="Olive" title="b3">head</font>, <font color="Olive" title="b4">n1</font>, <font color="Olive" title="b5">n2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<font color="Olive" title="b3">head</font>,<font color="Olive" title="b2">t</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> &amp; <font color="Olive" title="b2">t</font> <a href="turing_1.html#R2" title="TURING_1:pred.2">storeData</a> <span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default"><font color="Olive" title="b3">head</font>,<font color="Olive" title="b4">n1</font>,<font color="Olive" title="b5">n2</font></span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span> holds <br/>( <font color="Olive" title="b1">s</font> is  <a href="turing_1.html#V2" title="TURING_1:attr.2">Accept-Halt</a>  &amp; <span class="p1">(<span class="default"><a href="turing_1.html#K10" title="TURING_1:func.10">Result</a> <font color="Olive" title="b1">s</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Olive" title="b3">head</font> &amp; <span class="p1">(<span class="default"><a href="turing_1.html#K10" title="TURING_1:func.10">Result</a> <font color="Olive" title="b1">s</font></span>)</span> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a>  <a href="turing_1.html#R2" title="TURING_1:pred.2">storeData</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><span class="p2">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Olive" title="b3">head</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">n1</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Olive" title="b5">n2</font></span>)</span></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span> )</div></div>
