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<div><div><a NAME="S4"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: AFINSQ_1:sch 4</font></span><br/></a><span class="lab"><font color="Green" title="E4">SepXSeq</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> , <font color="Maroon">P<sub>1</sub></font>[  <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a>] } :<br/><div class="add"><a NAME="E1:78"/>
 ex <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  st <br/> for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">X</font> iff  ex <font color="Olive" title="b3">p</font> being   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a> st <br/>( <font color="Olive" title="b3">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon">F<sub>1</sub></font>() <a href="afinsq_1.html#K8" title="AFINSQ_1:func.8">^omega</a>  &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b3">p</font>] &amp; <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">p</font> ) )
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