<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="rearran1.html#V3" title="REARRAN1:attr.3">length_equal_card_of_set</a> <a onclick="hs(this)" href="javascript:()">REARRAN1:def 3 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">IT</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="rearran1.html#V3" title="REARRAN1:attr.3">length_equal_card_of_set</a>  iff  ex <font color="Olive" title="b3">B</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  st <br/>( <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <font color="Olive" title="b1">X</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b3">B</font> ) );<br/></span></div>
