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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="topmetr.html#M1">SubSpace</a> of  <a href="metric_1.html#K8">RealSpace</a> ;<br/>

<a NAME="E1:2_1_1"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> is   <a href="struct_0.html#NM2">Subset</a> of <a href="metric_1.html#K8">RealSpace</a> 
 
<b>by </b><i><a class="ref" href="topmetr.html#D1">TOPMETR:def 1</a></i>;<br/>
<b>hence </b><a NAME="E2:2_1_1"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> is <a href="membered.html#V2">real-membered</a>
 <b>by </b><i><a class="ref" href="membered.html#T17">MEMBERED:17</a>, <a class="ref" href="metric_1.html#D14">METRIC_1:def 14</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_6.html#D1">BORSUK_6:def 1</a><br/>


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