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<div>:: <span class="kw">deftheorem </span>   defines <a href="topreal1.html#V5" title="TOPREAL1:attr.5">being_S-P_arc</a> <a onclick="hs(this)" href="javascript:()">TOPREAL1:def 9 : <br/></a><span> for <font color="Olive" title="b1">P</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span> holds <br/> ( <font color="Olive" title="b1">P</font> is  <a href="topreal1.html#V5" title="TOPREAL1:attr.5">being_S-P_arc</a>  iff  ex <font color="Olive" title="b2">f</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span> st <br/>( <font color="Olive" title="b2">f</font> is  <a href="topreal1.html#V4" title="TOPREAL1:attr.4">being_S-Seq</a>  &amp; <font color="Olive" title="b1">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Olive" title="b2">f</font> ) );<br/></span></div>
