<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T63"><span class="comment"><font color="firebrick">:: FINSEQ_4:63</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">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> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>  st  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b1">A</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="b2">B</font> holds <br/>( <font color="Olive" title="b3">f</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  iff <font color="Olive" title="b3">f</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  ) <span class="kw">by</span> <span class="lab"><a class="txt" href="finseq_4.html#E70"><span class="lab"><font color="Green" title="E42">Lemacik</font></span></a>, <a class="txt" href="finseq_4.html#E68"><span class="lab"><font color="Green" title="E40">Lm1</font></span></a></span>;<br/></div></div>
