<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="calcul_1.html#R1" title="CALCUL_1:pred.1">is_tail_of</a> <a onclick="hs(this)" href="javascript:()">CALCUL_1:def 16 : <br/></a><span> for <font color="Olive" title="b1">f</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b2">p</font> <a href="calcul_1.html#R1" title="CALCUL_1:pred.1">is_tail_of</a> <font color="Olive" title="b1">f</font> iff  ex <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b3">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b1">f</font> &amp; <font color="Olive" title="b1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">p</font> ) );<br/></span></div>
