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<b>consider </b><font color="Maroon" title="c4">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">IL</font>;<br/>
<a NAME="E2:12_1_1"/>
<span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c4">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is    <a href="amistd_1.html#M1" title="AMISTD_1:mode.1">IL-Subset</a> of <font color="Maroon" title="c3">S</font>
 
<b>by </b><i><a class="ref" href="amistd_1.html#D1" target="_self" title="AMISTD_1:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E3:12_1_1"/>
not for <font color="Olive">b<sub>1</sub></font> being   <a href="amistd_1.html#M1" title="AMISTD_1:mode.1">IL-Subset</a> of <font color="Maroon" title="c3">S</font> holds  <font color="Olive">b<sub>1</sub></font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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