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<b>let </b><font color="Maroon">F</font> be   <a href="card_3.html#NM1">Cardinal-Function</a>;<br/><b>let </b><font color="Maroon">G</font> be   <a href="card_3.html#NM1">Cardinal-Function</a>;<br/>



<b>assume </b><a NAME="E1:42"/>
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">G</font> &amp; ( for <font color="Olive">x</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F</font> holds <br/><font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Olive">x</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Olive">x</font> ) )
 ;<br/>

<a NAME="E2:42"/><b>then </b>
(  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="card_3.html#K4" target="_self">product</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K7" target="_self">Product</a> <font color="Maroon">G</font> &amp;  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="card_3.html#K4" target="_self">product</a> <font color="Maroon">F</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K7" target="_self">Product</a> <font color="Maroon">F</font> &amp;  <a href="card_3.html#K4" target="_self">product</a> <font color="Maroon">F</font> <a href="tarski.html#R1">c=</a>  <a href="card_3.html#K4" target="_self">product</a> <font color="Maroon">G</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:42"/>
 <a href="card_3.html#K7" target="_self">Product</a> <font color="Maroon">F</font> <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_3.html#K7" target="_self">Product</a> <font color="Maroon">G</font>
 <b>by </b><i><a class="ref" href="card_1.html#T27">CARD_1:27</a></i>;<br/>


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