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<b>let </b><font color="Maroon">AFP</font> be   <a href="diraf.html#NM2">AffinPlane</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFP</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFP</font>;<br/>





<b>assume </b><a NAME="E1:21"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">AFP</font> <a href="aff_2.html#NR11" target="_self">satisfies_des</a> 
 ;<br/>

<a NAME="E2:21"/>
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> implies  ex <font color="Olive">f</font> being  <a href="funct_2.html#NM2">Permutation</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">AFP</font> st <br/>( <font color="Olive">f</font> <a href="transgeo.html#NR9" target="_self">is_Tr</a>  &amp; <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> ) )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:21"/>
 ex <font color="Olive">f</font> being  <a href="funct_2.html#NM2">Permutation</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">AFP</font> st <br/>( <font color="Olive">f</font> <a href="transgeo.html#NR9" target="_self">is_Tr</a>  &amp; <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> )
 <b>by </b><i><a class="ref" href="translac.html#D1" target="_self">Def1</a>, </i>;<br/>


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