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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="finseq_1.html#NM1">FinSequence</a>] <b>means </b>for <font color="Olive">p</font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/> for <font color="Olive">A</font> being   <a href="hidden.html#M1">set</a>  holds  <span class="p1">(<span class="default"><font color="Olive">p</font> <a href="finseq_1.html#K7">^</a> <font color="Maroon">a<sub>1</sub></font></span>)</span> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">p</font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font></span>)</span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><font color="Maroon">a<sub>1</sub></font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font></span>)</span>;<br/>
<a NAME="E1:81"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="xboole_0.html#K1">{}</a> ]
 
<b>by </b><i><a class="ref" href="finseq_3.html#T22" target="_self">Th22</a></i>;<br/>
<a NAME="E2:81"/><i><font color="Green">E42</font></i>: 
for <font color="Olive">q</font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/> for <font color="Olive">x</font> being   <a href="hidden.html#M1">set</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">q</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">q</font> <a href="finseq_1.html#K7">^</a> <span class="p1"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><font color="Olive">x</font></span><a href="finseq_1.html#K9">*&gt;</a></span>]
 
<b>by </b><i/>;<br/>
<a NAME="E3:81"/>
for <font color="Olive">q</font> being  <a href="finseq_1.html#NM1">FinSequence</a> holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">q</font>]
 
<b>from </b><i><a class="ref" href="finseq_1.html#S3">FINSEQ_1:sch 3</a>(<a class="ref" href="finseq_3.html#T24" target="_self">Th24</a>, <a class="ref" href="finseq_3.html#T26" target="_self">Th26</a>);<br/></i>
<b>hence </b><a NAME="E4:81"/>
for <font color="Olive">q</font>, <font color="Olive">p</font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/> for <font color="Olive">A</font> being   <a href="hidden.html#M1">set</a>  holds  <span class="p1">(<span class="default"><font color="Olive">p</font> <a href="finseq_1.html#K7">^</a> <font color="Olive">q</font></span>)</span> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">p</font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font></span>)</span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><font color="Olive">q</font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">A</font></span>)</span>
 ;<br/>


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