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<a NAME="E1:19_1_1"/>
<span class="p1">(<span class="default"><a href="turing_1.html#K6" title="TURING_1:func.6">Head</a> <font color="Maroon" title="c2">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="turing_1.html#K5" title="TURING_1:func.5">offset</a> <span class="p2">(<span class="default"><a href="turing_1.html#K7" title="TURING_1:func.7">TRAN</a> <font color="Maroon" title="c2">s</font></span>)</span></span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#D2" onmouseover="rs('int_1/D2')" onmouseout="rh()">INT_1:def 2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:19_1_1"/>
( ( <font color="Maroon" title="c2">s</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c1">T</font> implies <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K7" title="TURING_1:func.7">TRAN</a> <font color="Maroon" title="c2">s</font></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K6" title="TURING_1:func.6">Head</a> <font color="Maroon" title="c2">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="turing_1.html#K5" title="TURING_1:func.5">offset</a> <span class="p4">(<span class="default"><a href="turing_1.html#K7" title="TURING_1:func.7">TRAN</a> <font color="Maroon" title="c2">s</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="turing_1.html#K4" title="TURING_1:func.4">Tape-Chg</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">s</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span>,<span class="p3">(<span class="default"><a href="turing_1.html#K6" title="TURING_1:func.6">Head</a> <font color="Maroon" title="c2">s</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="turing_1.html#K7" title="TURING_1:func.7">TRAN</a> <font color="Maroon" title="c2">s</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>)</span>)</span></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> is   <a href="turing_1.html#NM4" title="TURING_1:NM.4">All-State</a> of <font color="Maroon" title="c1">T</font> ) &amp; (  not <font color="Maroon" title="c2">s</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c1">T</font> implies <font color="Maroon" title="c2">s</font> is   <a href="turing_1.html#NM4" title="TURING_1:NM.4">All-State</a> of <font color="Maroon" title="c1">T</font> ) &amp; (  for <font color="Olive">b<sub>1</sub></font> being   <a href="turing_1.html#NM4" title="TURING_1:NM.4">All-State</a> of <font color="Maroon" title="c1">T</font> holds  verum ) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="mcart_1.html#T69" onmouseover="rs('mcart_1/T69')" onmouseout="rh()">MCART_1:69</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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