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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E29">Th63</font></span>: <a NAME="T65"><span class="comment"><font color="firebrick">:: TOPREAL6:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="metric_1.html#V6" title="METRIC_1:attr.6">Reflexive</a>   <a href="metric_1.html#V8" title="METRIC_1:attr.8">symmetric</a>   <a href="metric_1.html#V9" title="METRIC_1:attr.9">triangle</a>   <a href="metric_1.html#L1" title="METRIC_1:struct.1">MetrStruct</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font>  st  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">X</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">Y</font> &amp;  not <font color="Olive" title="b1">M</font> is  <a href="tbsp_1.html#V5" title="TBSP_1:attr.5">bounded</a>  &amp; <font color="Olive" title="b2">X</font> is  <a href="tbsp_1.html#V6" title="TBSP_1:attr.6">bounded</a>  holds <br/> not <font color="Olive" title="b3">Y</font> is  <a href="tbsp_1.html#V6" title="TBSP_1:attr.6">bounded</a> </div></div>
