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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="finseq_1.html#NM1">FinSequence</a>] means for <font color="Olive">b<sub>1</sub></font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="hidden.html#M1">set</a>  holds <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></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">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">b<sub>2</sub></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">b<sub>2</sub></font></span>)</span>;<br/>
<a NAME="E1:81"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="xboole_0.html#K1">{}</a> ]
 
<b>by </b><i><a class="txt" href="finseq_3.html#E89"><i><font color="Green">Lemma49</font></i></a></i>;<br/>
<a NAME="E2:81"/><i><font color="Green">E54</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></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">b<sub>2</sub></font></span><a href="finseq_1.html#K9">*&gt;</a></span>]
 
<b>by </b><i><a class="txt" href="finseq_3.html#E91"><i><font color="Green">Lemma51</font></i></a></i>;<br/>
<a NAME="E3:81"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="finseq_1.html#NM1">FinSequence</a> holds <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>]
 
<b>from </b><i><a class="ref" href="finseq_1.html#S3">FINSEQ_1:sch 3</a>(<a class="txt" href="finseq_3.html#E1:81"><i><font color="Green">E53</font></i></a>, <a class="txt" href="finseq_3.html#E2:81"><i><font color="Green">E54</font></i></a>);<br/></i>
<b>hence </b><a NAME="E4:81"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being  <a href="finseq_1.html#NM1">FinSequence</a><br/>for <font color="Olive">b<sub>3</sub></font> being   <a href="hidden.html#M1">set</a>  holds <span class="p1">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="finseq_1.html#K7">^</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="finseq_3.html#K1" target="_self">-</a> <font color="Olive">b<sub>3</sub></font></span>)</span>
 ;<br/>


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