<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: FOMODEL0:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">U</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  ex <font color="Olive" title="b4">p</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <br/>( <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">p</font> &amp; <font color="Olive" title="b4">p</font> is <font color="Olive" title="b1">X</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  ) holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">U</font> <a href="fomodel0.html#K9" title="FOMODEL0:func.9">-multiCat</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">x</font> is <font color="Olive" title="b1">X</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a> </div></div>
