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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>assume </b><a NAME="E1:57_1_1"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="tdlat_3.html#V5" target="_self">hereditarily_extremally_disconnected</a>
 ;<br/>

<a NAME="E2:57_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is    <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="tsep_1.html#T2">TSEP_1:2</a></i>;<br/>
<b>hence </b><a NAME="E3:57_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="tdlat_3.html#V4" target="_self">extremally_disconnected</a>
 <b>by </b><i><a class="txt" href="tdlat_3.html#E1:57_1_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="tdlat_3.html#D5" target="_self">Def5</a></i>;<br/>


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