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<b>let </b><font color="Maroon" title="c1">tm1</font>, <font color="Maroon" title="c2">tm2</font> be    <a href="turing_1.html#L1" title="TURING_1:struct.1">TuringStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">t</font> being  <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">tm1</font> <a href="turing_1.html#K32" title="TURING_1:func.32">';'</a> <font color="Maroon" title="c2">tm2</font></span>)</span>  st the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">tm1</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="c2">tm2</font> holds <br/>( <font color="Olive" title="b1">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c1">tm1</font> &amp; <font color="Olive" title="b1">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c2">tm2</font> )</span><br/><b>let </b><font color="Maroon" title="c3">t</font> be   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">tm1</font> <a href="turing_1.html#K32" title="TURING_1:func.32">';'</a> <font color="Maroon" title="c2">tm2</font></span>)</span>; <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 <font color="Maroon" title="c1">tm1</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="c2">tm2</font> implies ( <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c1">tm1</font> &amp; <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c2">tm2</font> ) )</span><br/>



<b>set </b><font color="Maroon" title="c4">S1</font> = the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">tm1</font>;<br/>
<b>set </b><font color="Maroon" title="c5">S2</font> = the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c2">tm2</font>;<br/>
<b>assume </b><a NAME="E1:97"/><i><font color="Green" title="E70">A1</font></i>: 
the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">tm1</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="c2">tm2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c1">tm1</font> &amp; <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c2">tm2</font> )</span><br/>

the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">tm1</font> <a href="turing_1.html#K32" title="TURING_1:func.32">';'</a> <font color="Maroon" title="c2">tm2</font></span>)</span> = 
the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">tm1</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">tm2</font>
<b>by </b><i><a class="ref" href="turing_1.html#D32" target="_self" title="TURING_1:def.32">Def32</a></i>
<br/>.= 
the <a href="turing_1.html#U1" title="TURING_1:sel.1">Symbols</a> of <font color="Maroon" title="c1">tm1</font>
<b>by </b><i><a class="txt" href="turing_1.html#E1:97"><i><font color="Green" title="E70">A1</font></i></a></i>
;<br/>
<b>hence </b><a NAME="E3:97"/>
( <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c1">tm1</font> &amp; <font color="Maroon" title="c3">t</font> is   <a href="turing_1.html#NM2" title="TURING_1:NM.2">Tape</a> of <font color="Maroon" title="c2">tm2</font> )
 <b>by </b><i><a class="txt" href="turing_1.html#E1:97"><i><font color="Green" title="E70">A1</font></i></a></i>; <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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