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<b>let </b><font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="metric_1.html#NM1">MetrSpace</a>;<br/>

<a NAME="E1:21_1_1"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>2</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b<sub>2</sub></font> holds <br/>0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="metric_1.html#K4">dist</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="sub_metr.html#T2" target="_self">Th2</a></i>;<br/>
<b>hence </b><a NAME="E2:21_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="sub_metr.html#V2" target="_self">Discerning</a>
 <b>by </b><i><a class="ref" href="sub_metr.html#T14" target="_self">Th14</a></i>;<br/>


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