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<b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y</font>;<br/>

<b>assume </b><a NAME="E1:20_2_1"/>
not <font color="Maroon">A</font> is <a href="tex_2.html#V1" target="_self">proper</a>
 ;<br/>

<a NAME="E2:20_2_1"/>
 ex <font color="Olive">s</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">Y</font> st the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Olive">s</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="tex_1.html#D1">TEX_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:20_2_1"/>
<font color="Maroon">A</font> is <a href="realset1.html#V1">trivial</a>
 <b>by </b><i/>;<br/>


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