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

<b>given </b><font color="Maroon">c<sub>2</sub></font> being   <a href="funct_1.html#NM1">Function</a><b> such that </b><a NAME="E1:8_1_1"/><i><font color="Green">E8</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K4">product</a> <font color="Maroon">c<sub>2</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D2" target="_self">AMISTD_2:def 2</a><br/>

<b>thus </b><a NAME="E2:8_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="fraenkel.html#V1">functional</a>
 <b>by </b><i><a class="txt" href="amistd_2.html#E1:8_1_1"><i><font color="Green">E8</font></i></a></i>;<br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="funct_1.html#NM1">Function</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="pralg_2.html#D1">PRALG_2:def 1</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E3:8_1_1"/><i><font color="Green">E9</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E4:8_1_1"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>thus </b> <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>3</sub></font> = 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="amistd_2.html#E1:8_1_1"><i><font color="Green">E8</font></i></a>, <a class="txt" href="amistd_2.html#E3:8_1_1"><i><font color="Green">E9</font></i></a>, <a class="ref" href="card_3.html#T18">CARD_3:18</a></i>
<br/>.= 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="amistd_2.html#E1:8_1_1"><i><font color="Green">E8</font></i></a>, <a class="txt" href="amistd_2.html#E4:8_1_1"><i><font color="Green">E10</font></i></a>, <a class="ref" href="card_3.html#T18">CARD_3:18</a></i>
;<br/>


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