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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>] <b>means </b>for <font color="Olive" title="b1">p</font> being  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/> for <font color="Olive" title="b2">A</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds  <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> $1</span>)</span> <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1">(<span class="default">$1 <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b2">A</font></span>)</span>;<br/>
<a NAME="E1:76"/><i><font color="Green" title="E53">A1</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ]
 
<b>by </b><i><a class="txt" href="finseq_3.html#E88"><i><font color="Green" title="E49">Lm8</font></i></a></i>;<br/>
<a NAME="E2:76"/><i><font color="Green" title="E54">A2</font></i>: 
for <font color="Olive" title="b1">q</font> being  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/> for <font color="Olive" title="b2">x</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">q</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>]
 
<b>by </b><i><a class="txt" href="finseq_3.html#E90"><i><font color="Green" title="E51">Lm10</font></i></a></i>;<br/>
<a NAME="E3:76"/>
for <font color="Olive" title="b1">q</font> being  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">q</font>]
 
<b>from </b><i><a class="ref" href="finseq_1.html#S3" title="FINSEQ_1:sch.3">FINSEQ_1:sch 3</a>(<a class="txt" href="#E1:76"><i><font color="Green" title="E53">A1</font></i></a>, <a class="txt" href="#E2:76"><i><font color="Green" title="E54">A2</font></i></a>);<br/></i>
<b>hence </b><a NAME="E4:76"/>
for <font color="Olive" title="b1">q</font>, <font color="Olive" title="b2">p</font> being  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/> for <font color="Olive" title="b3">A</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b1">q</font></span>)</span> <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b3">A</font></span>)</span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">q</font> <a href="finseq_3.html#K1" title="FINSEQ_3:func.1">-</a> <font color="Olive" title="b3">A</font></span>)</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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