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<a NAME="E1:21_1_1"/>
<span class="p1">(<span class="default"><a href="turing_1.html#K7" target="_self">Head</a> <font color="Maroon">s</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="turing_1.html#K6" target="_self">offset</a> <span class="p2">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:21_1_1"/>
( ( <font color="Maroon">s</font> <a href="mcart_1.html#K5">`1</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">T</font> implies <span class="p1"><a href="mcart_1.html#K3">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span> <a href="mcart_1.html#K5">`1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K7" target="_self">Head</a> <font color="Maroon">s</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="turing_1.html#K6" target="_self">offset</a> <span class="p4">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="turing_1.html#K5" target="_self">Tape-Chg</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="mcart_1.html#K7">`3</a> </span>)</span>,<span class="p3">(<span class="default"><a href="turing_1.html#K7" target="_self">Head</a> <font color="Maroon">s</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span> <a href="mcart_1.html#K6">`2</a> </span>)</span></span>)</span></span><a href="mcart_1.html#K3">]</a></span> is   <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font> ) &amp; ( not <font color="Maroon">s</font> <a href="mcart_1.html#K5">`1</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">T</font> implies <font color="Maroon">s</font> is   <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font> ) &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font> holds  verum ) )
 <b>by </b><i><a class="ref" href="mcart_1.html#T73">MCART_1:73</a></i>;<br/>


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