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<b>reconsider </b><font color="Maroon">l</font> =  <a href="real_1.html#K1">-</a> 1 as    <a href="subset_1.html#M2">Element</a> of <span class="p1"><a href="domain_1.html#K8">{</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span> <b>by </b><i><a class="ref" href="enumset1.html#D1">ENUMSET1:def 1</a></i>;<br/>
<a NAME="E2:92_1_2"/>
<span class="p1"><a href="domain_1.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="domain_1.html#K2">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="domain_1.html#K3">`2</a> </span>)</span>,<font color="Maroon">l</font></span><a href="domain_1.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K3">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K21" target="_self">UnionSt</a> <font color="Maroon">s</font>,<font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default">the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">s</font> <a href="xboole_0.html#K2">\/</a> the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">t</font></span>)</span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="zfmisc_1.html#K3">:]</a></span>
 
;<br/>
<b>hence </b><a NAME="E3:92_1_2"/>
( (  ex <font color="Olive">p</font> being  <a href="turing_1.html#NM1">State</a> of <font color="Maroon">s</font> ex <font color="Olive">y</font> being  <a href="turing_1.html#NM3">Symbol</a> of <font color="Maroon">s</font> st <br/>( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">p</font>,the <a href="turing_1.html#U4" target="_self">InitS</a> of <font color="Maroon">t</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">y</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Olive">p</font> <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">s</font> ) implies  <a href="turing_1.html#K22" target="_self">FirstTuringTran</a> <font color="Maroon">s</font>,<font color="Maroon">t</font>,<span class="p1">(<span class="default">the <a href="turing_1.html#U3" target="_self">Tran</a> of <font color="Maroon">s</font> <a href="funct_2.html#K3">.</a> <span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K26" target="_self">FirstTuringState</a> <font color="Maroon">x</font></span>)</span>,<span class="p3">(<span class="default"><a href="turing_1.html#K28" target="_self">FirstTuringSymbol</a> <font color="Maroon">x</font></span>)</span></span><a href="domain_1.html#K1">]</a></span></span>)</span> is    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K21" target="_self">UnionSt</a> <font color="Maroon">s</font>,<font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default">the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">s</font> <a href="xboole_0.html#K2">\/</a> the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">t</font></span>)</span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="zfmisc_1.html#K3">:]</a></span> ) &amp; (  ex <font color="Olive">q</font> being  <a href="turing_1.html#NM1">State</a> of <font color="Maroon">t</font> ex <font color="Olive">y</font> being  <a href="turing_1.html#NM3">Symbol</a> of <font color="Maroon">t</font> st <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">s</font>,<font color="Olive">q</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">y</font></span><a href="domain_1.html#K1">]</a></span> implies  <a href="turing_1.html#K23" target="_self">SecondTuringTran</a> <font color="Maroon">s</font>,<font color="Maroon">t</font>,<span class="p1">(<span class="default">the <a href="turing_1.html#U3" target="_self">Tran</a> of <font color="Maroon">t</font> <a href="funct_2.html#K3">.</a> <span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K27" target="_self">SecondTuringState</a> <font color="Maroon">x</font></span>)</span>,<span class="p3">(<span class="default"><a href="turing_1.html#K29" target="_self">SecondTuringSymbol</a> <font color="Maroon">x</font></span>)</span></span><a href="domain_1.html#K1">]</a></span></span>)</span> is    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K21" target="_self">UnionSt</a> <font color="Maroon">s</font>,<font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default">the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">s</font> <a href="xboole_0.html#K2">\/</a> the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">t</font></span>)</span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="zfmisc_1.html#K3">:]</a></span> ) &amp; ( ( for <font color="Olive">p</font> being  <a href="turing_1.html#NM1">State</a> of <font color="Maroon">s</font><br/> for <font color="Olive">y</font> being  <a href="turing_1.html#NM3">Symbol</a> of <font color="Maroon">s</font>  holds <br/>(  not <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">p</font>,the <a href="turing_1.html#U4" target="_self">InitS</a> of <font color="Maroon">t</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">y</font></span><a href="domain_1.html#K1">]</a></span> or  not <font color="Olive">p</font> <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">s</font> ) ) &amp; ( for <font color="Olive">q</font> being  <a href="turing_1.html#NM1">State</a> of <font color="Maroon">t</font><br/> for <font color="Olive">y</font> being  <a href="turing_1.html#NM3">Symbol</a> of <font color="Maroon">t</font>  holds not <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">s</font>,<font color="Olive">q</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">y</font></span><a href="domain_1.html#K1">]</a></span> ) implies <span class="p1"><a href="domain_1.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="domain_1.html#K2">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="domain_1.html#K3">`2</a> </span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span> is    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K21" target="_self">UnionSt</a> <font color="Maroon">s</font>,<font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default">the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">s</font> <a href="xboole_0.html#K2">\/</a> the <a href="turing_1.html#U1" target="_self">Symbols</a> of <font color="Maroon">t</font></span>)</span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="zfmisc_1.html#K3">:]</a></span> ) )
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