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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: TOPREAL7:19</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">m</font>, <font color="Olive" title="b4">n</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="topreal7.html#K1" title="TOPREAL7:func.1">max-Prod2</a> (<font color="Olive" title="b1">M</font>,<font color="Olive" title="b2">N</font>)</span>)</span> holds   <a href="metric_1.html#K1" title="METRIC_1:func.1">dist</a> (<font color="Olive" title="b3">m</font>,<font color="Olive" title="b4">n</font>) <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> (<span class="p2">(<span class="default"><font color="Olive" title="b3">m</font> <a href="topreal7.html#K3" title="TOPREAL7:func.3">`1</a></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">n</font> <a href="topreal7.html#K3" title="TOPREAL7:func.3">`1</a></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="metric_1.html#K1" title="METRIC_1:func.1">dist</a> (<span class="p2">(<span class="default"><font color="Olive" title="b3">m</font> <a href="topreal7.html#K4" title="TOPREAL7:func.4">`2</a></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">n</font> <a href="topreal7.html#K4" title="TOPREAL7:func.4">`2</a></span>)</span>)</span>)</span>)</div></div>
