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<b>let </b><font color="Maroon">M</font> be  non <a href="struct_0.html#V3">empty</a> <a href="metric_1.html#V6">Reflexive</a> <a href="metric_1.html#V8">symmetric</a> <a href="tbsp_1.html#V5">bounded</a>  <a href="metric_1.html#L1">MetrStruct</a> ;<br/><b>let </b><font color="Maroon">R</font> be   <a href="alg_1.html#NM2">Equivalence_Relation</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">a</font> be  non <a href="xxreal_0.html#V3">negative</a> <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>





<b>assume </b><a NAME="E1:50"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">a</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a>  <a href="tbsp_1.html#K2">diameter</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">M</font></span>)</span> &amp; <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="taxonom1.html#K3" target="_self">dist_toler</a> <font color="Maroon">M</font>,<font color="Maroon">a</font></span>)</span> <a href="lang1.html#K17">[*]</a>  )
 ;<br/>

<a NAME="E2:50"/>
 <a href="eqrel_1.html#K9">Class</a> <span class="p1">(<span class="default"><a href="eqrel_1.html#K1">nabla</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M</font></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="msualg_9.html#T5">MSUALG_9:5</a></i>;<br/>
<b>hence </b><a NAME="E3:50"/>
 <a href="eqrel_1.html#K9">Class</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M</font></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i>, </i>;<br/>


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