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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="E1:19"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">A0</font> is <a href="pre_topc.html#V4">closed</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="E3:19"/><i><font color="Green">E27</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/>;<br/>
<b>reconsider </b><font color="Maroon">Y0</font> = <font color="Maroon">X0</font> as  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V1">strict</a> <a href="borsuk_1.html#V1">closed</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">X</font> <b>by </b><i><a class="txt" href="tsep_1.html#E2"><i><font color="Green">Lemma15</font></i></a>, <a class="txt" href="tsep_1.html#E3"><i><font color="Green">Lemma16</font></i></a>, </i>;<br/>
<b>take </b>
<font color="Maroon">Y0</font>
;<br/>

<b>thus </b><a NAME="E5:19"/>
<font color="Maroon">A0</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y0</font>
 <b>by </b><i><a class="txt" href="tsep_1.html#E3"><i><font color="Green">Lemma16</font></i></a></i>;<br/>


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