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<b>let </b><font color="Maroon">T</font> be    <a href="turing_1.html#L1" target="_self">TuringStr</a> ;<br/><b>let </b><font color="Maroon">t</font> be   <a href="turing_1.html#NM2">Tape</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">s</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:37"/>
<font color="Maroon">t</font> <a href="turing_1.html#R2" target="_self">storeData</a> <span class="p1"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">s</font>,<font color="Maroon">n</font></span><a href="finseq_4.html#K2">*&gt;</a></span>
 ;<br/>

<a NAME="E2:37"/><b>then </b><i><font color="Green">E30</font></i>: 
<font color="Maroon">t</font> <a href="turing_1.html#R1" target="_self">is_1_between</a> <font color="Maroon">s</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">n</font></span>)</span> <a href="nat_1.html#K1">+</a> 2
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:37"/>
( <font color="Maroon">t</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a> 0 &amp; <font color="Maroon">t</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">n</font></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i/>;<br/>

<b>thus </b><a NAME="E4:37"/>
for <font color="Olive">i</font> being  <a href="int_1.html#NM1">Integer</a>  st <font color="Maroon">s</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">i</font> &amp; <font color="Olive">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">n</font></span>)</span> <a href="nat_1.html#K1">+</a> 2 holds <br/><font color="Maroon">t</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i>, </i>;<br/>


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