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<a NAME="E1:13_1_1"/>
 <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">M</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">Family_open_set</a> <font color="Maroon" title="c1">M</font>
 
<b>by </b><i><a class="ref" href="pcomps_1.html#T34" title="PCOMPS_1:th.34">PCOMPS_1:34</a></i>;<br/>
<a NAME="E2:13_1_1"/><b>then </b>
 <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">M</font> is <a href="compl_sp.html#V2" title="COMPL_SP:attr.2">open</a>
 
<b>by </b><i><a class="ref" href="compl_sp.html#D3" target="_self" title="COMPL_SP:def.3">Def3</a></i>;<br/>
<b>hence </b><a NAME="E3:13_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">M</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="compl_sp.html#V2" title="COMPL_SP:attr.2">open</a> &amp; not <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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