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<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">A0</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><a NAME="E1:40"/><i><font color="Green">E16</font></i>: 
<font color="Maroon">A0</font> is <a href="tops_1.html#V2">boundary</a>
 ;<br/>

<b>consider </b><font color="Maroon">X0</font> being  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V1">strict</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">X</font><b> such that </b><br/><a NAME="E3:40"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">A0</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X0</font>
 <b>by </b><i><a class="ref" href="tsep_1.html#T10">TSEP_1:10</a></i>;<br/>
<b>take </b>
<font color="Maroon">X0</font>
;<br/>

<b>thus </b><a NAME="E4:40"/>
( <font color="Maroon">X0</font> is <a href="tex_3.html#V3" target="_self">boundary</a> &amp; <font color="Maroon">A0</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X0</font> )
 <b>by </b><i><a class="txt" href="tex_3.html#E3"><i><font color="Green">Lemma18</font></i></a>, <a class="ref" href="tex_3.html#T2" target="_self">Th2</a>, <a class="txt" href="tex_3.html#E1:40"><i><font color="Green">E16</font></i></a></i>;<br/>


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