<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="topreal1.html#V3" title="TOPREAL1:attr.3">s.n.c.</a> <a onclick="hs(this)" href="javascript:()">TOPREAL1:def 7 : <br/></a><span> for <font color="Olive" title="b1">IT</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> holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="topreal1.html#V3" title="TOPREAL1:attr.3">s.n.c.</a>  iff  for <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">j</font> holds <br/> <a href="topreal1.html#K2" title="TOPREAL1:func.2">LSeg</a> (<font color="Olive" title="b1">IT</font>,<font color="Olive" title="b2">i</font>) <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="topreal1.html#K2" title="TOPREAL1:func.2">LSeg</a> (<font color="Olive" title="b1">IT</font>,<font color="Olive" title="b3">j</font>) );<br/></span></div>
