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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E88">Th138</font></span>: <a NAME="T139"><span class="comment"><font color="firebrick">:: SEQ_4:139</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">v</font>, <font color="Olive" title="b2">v1</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b1">v</font> is  <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a>  &amp; <font color="Olive" title="b2">v1</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b1">v</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Olive" title="b3">n</font></span>)</span> holds <br/><font color="Olive" title="b2">v1</font> is  <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a> </div></div>
