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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: TOPREAL7:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font>, <font color="Olive" title="b2">N</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="metric_1.html#L1" title="METRIC_1:struct.1">MetrStruct</a> <br/>  for <font color="Olive" title="b3">m1</font>, <font color="Olive" title="b4">m2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">M</font><br/>  for <font color="Olive" title="b5">n1</font>, <font color="Olive" title="b6">n2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b2">N</font> holds   <a href="metric_1.html#K1" title="METRIC_1:func.1">dist</a> (<span class="p1"><a href="topreal7.html#K2" title="TOPREAL7:func.2">[</a><span class="default"><font color="Olive" title="b3">m1</font>,<font color="Olive" title="b5">n1</font></span><a href="topreal7.html#K2" title="TOPREAL7:func.2">]</a></span>,<span class="p1"><a href="topreal7.html#K2" title="TOPREAL7:func.2">[</a><span class="default"><font color="Olive" title="b4">m2</font>,<font color="Olive" title="b6">n2</font></span><a href="topreal7.html#K2" title="TOPREAL7:func.2">]</a></span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<span class="p1">(<span class="default"><a href="metric_1.html#K1" title="METRIC_1:func.1">dist</a> (<font color="Olive" title="b3">m1</font>,<font color="Olive" title="b4">m2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="metric_1.html#K1" title="METRIC_1:func.1">dist</a> (<font color="Olive" title="b5">n1</font>,<font color="Olive" title="b6">n2</font>)</span>)</span>)</div></div>
