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<b>let </b><font color="Maroon">z1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>, <font color="Maroon">z2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>;<br/>

<b>assume </b><a NAME="E1:42_1_2"/><i><font color="Green">E21</font></i>: 
( <font color="Maroon">z1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Amp</font> &amp; <font color="Maroon">z1</font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">x</font> &amp; <font color="Maroon">z2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Amp</font> &amp; <font color="Maroon">z2</font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">x</font> )
 ;<br/>

<a NAME="E2:42_1_2"/><b>then </b>
<font color="Maroon">z1</font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">z2</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:42_1_2"/>
<font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font>
 <b>by </b><i>, </i>;<br/>


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