<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:93"/>
<font color="Maroon">c<sub>2</sub></font> <a href="prob_1.html#K1">.</a> 1 <a href="hidden.html#R2">in</a>  <a href="topgen_3.html#K1">rng</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="funct_2.html#T6">FUNCT_2:6</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="topgen_3.html#K1">rng</a> <font color="Maroon">c<sub>2</sub></font> as  non <a href="xboole_0.html#V1">empty</a> <a href="setfam_1.html#NM1">Subset-Family</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E3:93"/><i><font color="Green">E48</font></i>: 
 <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="topgen_3.html#K1">rng</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="ordinal1.html#R1">c=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="card_2.html#T80">CARD_2:80</a></i>;<br/>
<a NAME="E4:93"/><i><font color="Green">E49</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font> is <a href="card_4.html#V1">countable</a>
 
<b>by </b><i><a class="ref" href="card_4.html#T44">CARD_4:44</a>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E5:93"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="card_4.html#V1">countable</a>
 
<b>by </b><i><a class="txt" href="topgen_4.html#E3:93"><i><font color="Green">E48</font></i></a>, <a class="txt" href="topgen_4.html#E4:93"><i><font color="Green">E49</font></i></a>, <a class="ref" href="waybel12.html#T2">WAYBEL12:2</a></i>;<br/>
<b>hence </b><a NAME="E6:93"/>
 <a href="topgen_3.html#K1">rng</a> <font color="Maroon">c<sub>2</sub></font> is  non <a href="xboole_0.html#V1">empty</a> <a href="card_4.html#V1">countable</a> <a href="setfam_1.html#NM1">Subset-Family</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


</div>
