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<b>let </b><font color="Maroon">R</font> be  non <a href="struct_0.html#V3">empty</a> <a href="group_1.html#V2">unital</a>  <a href="vectsp_1.html#L1">multLoopStr</a> ;<br/><b>let </b><font color="Maroon">X</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">R</font>;<br/>



<b>assume </b><a NAME="E1:37"/>
<font color="Maroon">X</font> <a href="hidden.html#R2">in</a>  <a href="gcd_1.html#K3" target="_self">Classes</a> <font color="Maroon">R</font>
 ;<br/>

<a NAME="E2:37"/><b>then </b>
 ex <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <font color="Maroon">X</font> <a href="hidden.html#R1">=</a>  <a href="gcd_1.html#K2" target="_self">Class</a> <font color="Olive">a</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:37"/>
not <font color="Maroon">X</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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