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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: METRIC_2:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   <a href="metric_1.html#NM2" title="METRIC_1:NM.2">PseudoMetricSpace</a> holds   <a href="metric_2.html#K9" title="METRIC_2:func.9">set_in_rel</a> <font color="Olive" title="b1">M</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="mcart_1.html#K9" title="MCART_1:func.9">[:</a><span class="default"><span class="p2">(<span class="default"><a href="metric_2.html#K6" title="METRIC_2:func.6">elem_in_rel_1</a> <font color="Olive" title="b1">M</font></span>)</span>,<span class="p2">(<span class="default"><a href="metric_2.html#K7" title="METRIC_2:func.7">elem_in_rel_2</a> <font color="Olive" title="b1">M</font></span>)</span>,<span class="p2">(<span class="default"><a href="metric_2.html#K5" title="METRIC_2:func.5">real_in_rel</a> <font color="Olive" title="b1">M</font></span>)</span></span><a href="mcart_1.html#K9" title="MCART_1:func.9">:]</a></span></div></div>
