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<b>let </b><font color="Maroon">M</font> be   <a href="sub_metr.html#NM1">PseudoMetricSpace</a>;<br/><b>let </b><font color="Maroon">V</font> be    <a href="metric_2.html#M1" target="_self">equivalence_class</a> of <font color="Maroon">M</font>;<br/>



<a NAME="E1:15"/>
 ex <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font> st <font color="Maroon">V</font> <a href="hidden.html#R1">=</a> <font color="Olive">x</font> <a href="metric_2.html#K1" target="_self">-neighbour</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:15"/>
<font color="Maroon">V</font> is  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> 
 <b>by </b><i/>;<br/>


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