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<b>consider </b><font color="Maroon" title="c2">A</font> being  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="compts_1.html#V6" title="COMPTS_1:attr.6">compact</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Maroon" title="c1">n</font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">T</font> = <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Maroon" title="c1">n</font></span>)</span> <a href="pre_topc.html#K1" title="PRE_TOPC:func.1">|</a> <font color="Maroon" title="c2">A</font> as  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Maroon" title="c1">n</font> ;<br/>
<a NAME="E3:7_1_1"/>
<font color="Maroon" title="c3">T</font> is <a href="compts_1.html#V2" title="COMPTS_1:attr.2">compact</a>
 
;<br/>
<b>hence </b><a NAME="E4:7_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Maroon" title="c1">n</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="compts_1.html#V2" title="COMPTS_1:attr.2">compact</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a> )
 ;<br/>


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