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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E1:49"/>
(  <a href="card_1.html#K1">Card</a> <font color="Maroon">X</font> <a href="ordinal1.html#R1">c=</a>  <a href="card_1.html#K3">alef</a> 0 &amp;  <a href="card_1.html#K1">Card</a> <font color="Maroon">Y</font> <a href="ordinal1.html#R1">c=</a>  <a href="card_1.html#K3">alef</a> 0 )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="card_4.html#D1" target="_self">CARD_4:def 1</a><br/>

<a NAME="E2:49"/><b>then </b>
<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">Y</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T119">ZFMISC_1:119</a></i>;<br/>
<a NAME="E3:49"/><b>then </b>
 <a href="card_1.html#K1">Card</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">Y</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_1.html#K1">Card</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="card_1.html#T27">CARD_1:27</a></i>;<br/>
<a NAME="E4:49"/><b>then </b>
 <a href="card_1.html#K1">Card</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="card_1.html#K1">Card</a> <font color="Maroon">Y</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <span class="p1">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span> <a href="card_2.html#K2">*`</a> <span class="p1">(<span class="default"><a href="card_1.html#K3">alef</a> 0</span>)</span>
 
<b>by </b><i><a class="ref" href="card_2.html#D2">CARD_2:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:49"/>
 <a href="card_1.html#K1">Card</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X</font>,<font color="Maroon">Y</font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_1.html#K3">alef</a> 0
 <b>by </b><i>, <a class="ref" href="card_2.html#T14">CARD_2:14</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="card_4.html#D1" target="_self">CARD_4:def 1</a><br/>


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