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<b>set </b><font color="Maroon" title="c3">St</font> =  <a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font>;<br/>
<b>set </b><font color="Maroon" title="c4">Sym</font> = the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c5">p0</font> = <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> <b>by </b><i><a class="ref" href="turing_1.html#T44" target="_self" title="TURING_1:th.44">Th44</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">q1</font> = <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> <b>by </b><i><a class="ref" href="turing_1.html#T44" target="_self" title="TURING_1:th.44">Th44</a></i>;<br/>
<b>take </b>
 <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #)
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U2" title="TURING_1:sel.2">States</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U3" title="TURING_1:sel.3">Tran</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> )</span><br/>

<b>thus </b><a NAME="E3:92_1_1"/>
( the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U2" title="TURING_1:sel.2">States</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U3" title="TURING_1:sel.3">Tran</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font> &amp; the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U4" title="TURING_1:sel.4">InitS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <a href="turing_1.html#G1" title="TURING_1:aggr.1">TuringStr</a>(# <span class="p1">(<span class="default">the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">T1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K21" title="TURING_1:func.21">UnionSt</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<span class="p1">(<span class="default"><a href="turing_1.html#K31" title="TURING_1:func.31">UnionTran</a> <font color="Maroon" title="c1">T1</font>,<font color="Maroon" title="c2">T2</font></span>)</span>,<font color="Maroon" title="c5">p0</font>,<font color="Maroon" title="c6">q1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c1">T1</font>,the <a href="turing_1.html#U5" title="TURING_1:sel.5">AcceptS</a> of <font color="Maroon" title="c2">T2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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