<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="orders_5.html#V5" title="ORDERS_5:attr.5">ascending</a> <a onclick="hs(this)" href="javascript:()">ORDERS_5:def 18 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">s</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b1">A</font> holds <br/> ( <font color="Olive" title="b2">s</font> is  <a href="orders_5.html#V5" title="ORDERS_5:attr.5">ascending</a>  iff  for <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">s</font> &amp; <font color="Olive" title="b4">m</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">s</font> &amp; <font color="Olive" title="b3">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b4">m</font> holds <br/><font color="Olive" title="b2">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b3">n</font> <a href="orders_5.html#R3" title="ORDERS_5:pred.3">&lt;~</a> <font color="Olive" title="b2">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b4">m</font> );<br/></span></div>
