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<b>let </b><font color="Maroon">A</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">B</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">P</font> be   <a href="funct_2.html#NM2">Permutation</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">Q</font> be   <a href="funct_2.html#NM2">Permutation</a> of <font color="Maroon">B</font>;<br/>





<b>thus </b><a NAME="E1:28"/>
<span class="p1"><a href="funct_3.html#K16">[:</a><span class="default"><font color="Maroon">P</font>,<font color="Maroon">Q</font></span><a href="funct_3.html#K16">:]</a></span> is <a href="funct_1.html#V2">one-to-one</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_2.html#D4">FUNCT_2:def 4</a><br/>

<a NAME="E2:28"/>
(  <a href="relat_1.html#K2">rng</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">Q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D3">FUNCT_2:def 3</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="funct_3.html#K16">[:</a><span class="default"><font color="Maroon">P</font>,<font color="Maroon">Q</font></span><a href="funct_3.html#K16">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">A</font>,<font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 <b>by </b><i><a class="ref" href="funct_3.html#T88">FUNCT_3:88</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_2.html#D3">FUNCT_2:def 3</a><br/>


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