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<a NAME="E1:21_1_1"/>
 the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Maroon" title="c1">M</font> is  <a href="metric_1.html#V4" title="METRIC_1:attr.4">symmetric</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="metric_1.html#D8" target="_self" title="METRIC_1:def.8">Def9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:21_1_1"/>
 for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">M</font> holds   <a href="metric_1.html#K2" title="METRIC_1:func.2">dist</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="metric_1.html#K2" title="METRIC_1:func.2">dist</a> (<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="metric_1.html#D4" target="_self" title="METRIC_1:def.4">Def5</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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