<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="kurato_0.html#V2" title="KURATO_0:attr.2">non-descending</a> <a onclick="hs(this)" href="javascript:()">KURATO_0:def 4 : <br/></a><span> for <font color="Olive" title="b1">T</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Olive" title="b1">T</font> holds <br/> ( <font color="Olive" title="b2">S</font> is  <a href="prob_1.html#V3" title="PROB_1:attr.3">non-descending</a>  iff  for <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b2">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">i</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">S</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> );<br/></span></div>
