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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th14</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: TOPMETR:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">M</font> being   <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="b3">p</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b2">M</font><br/>  for <font color="Olive" title="b4">P</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <font color="Olive" title="b2">M</font></span>)</span>  st <font color="Olive" title="b4">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="metric_1.html#K8" title="METRIC_1:func.8">Ball</a> (<font color="Olive" title="b3">p</font>,<font color="Olive" title="b1">r</font>) holds <br/><font color="Olive" title="b4">P</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="pcomps_1.html#T29" onmouseover="rs('pcomps_1/T29')" onmouseout="rh()">PCOMPS_1:29</a></span>;<br/></div></div>
