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<b>let </b><font color="Maroon">V</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">B</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">z</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>







<b>assume </b><a NAME="E1:29"/>
<font color="Maroon">z</font> <a href="hidden.html#R2">in</a>  <a href="ens_1.html#K7" target="_self">Maps</a> <font color="Maroon">A</font>,<font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:29"/><b>then </b>
 ex <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="ens_1.html#K1" target="_self">Funcs</a> <font color="Maroon">V</font> st <br/>( <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">A</font>,<font color="Maroon">B</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> &amp; <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">A</font>,<font color="Maroon">B</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a>  <a href="ens_1.html#K2" target="_self">Maps</a> <font color="Maroon">V</font> )
 
;<br/>
<b>hence </b><a NAME="E3:29"/>
<font color="Maroon">z</font> <a href="hidden.html#R2">in</a>  <a href="ens_1.html#K2" target="_self">Maps</a> <font color="Maroon">V</font>
 ;<br/>


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