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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: METRIC_6:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="metric_1.html#V1" title="METRIC_1:attr.1">strict</a>  <a href="metric_1.html#NM1" title="METRIC_1:NM.1">MetrSpace</a> holds <br/> (  the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Olive" title="b1">X</font> is  <a href="metric_1.html#V2" title="METRIC_1:attr.2">Reflexive</a>  &amp;  the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Olive" title="b1">X</font> is  <a href="metric_1.html#V3" title="METRIC_1:attr.3">discerning</a>  &amp;  the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Olive" title="b1">X</font> is  <a href="metric_1.html#V4" title="METRIC_1:attr.4">symmetric</a>  &amp;  the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Olive" title="b1">X</font> is  <a href="metric_1.html#V5" title="METRIC_1:attr.5">triangle</a>  )</div></div>
