<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="orders_5.html#V8" title="ORDERS_5:attr.8">asc_ordering</a> <a onclick="hs(this)" href="javascript:()">ORDERS_5:def 23 : <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#V8" title="ORDERS_5:attr.8">asc_ordering</a>  iff ( <font color="Olive" title="b2">s</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp; <font color="Olive" title="b2">s</font> is  <a href="orders_5.html#V4" title="ORDERS_5:attr.4">weakly-ascending</a>  ) );<br/></span></div>
