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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="42_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">Amp</font> be    <a href="gcd_1.html#M2" target="_self">AmpleSet</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>;<br/><b>consider </b><font color="Maroon">z</font> being    <a href="subset_1.html#M2">Element</a> of <font color="Maroon">Amp</font><b> such that </b><br/><a NAME="E2:42_1_1_1"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">z</font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">x</font>
 <b>by </b><i/>;<br/><b>thus </b><a NAME="E3:42_1_1_1"/>
 ex <font color="Olive">zz</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <br/>( <font color="Olive">zz</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Amp</font> &amp; <font color="Olive">zz</font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">x</font> )
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:42_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">Amp</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="gcd_1.html#R4" target="_self">is_associated_to</a> <font color="Maroon">x</font> )
 ;<br/>


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