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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: METRIC_2:8</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><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b2">x</font> <a href="metric_2.html#K1" title="METRIC_2:func.1">-neighbour</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">y</font> <a href="metric_2.html#K1" title="METRIC_2:func.1">-neighbour</a>  iff <font color="Olive" title="b2">x</font> <a href="metric_2.html#R3" title="METRIC_2:pred.3">tolerates</a> <font color="Olive" title="b3">y</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="metric_2.html#T2" target="_self" onmouseover="rs('metric_2/T2')" onmouseout="rh()">Th2</a>, <a class="ref" href="metric_2.html#T4" target="_self" onmouseover="rs('metric_2/T4')" onmouseout="rh()">Th4</a>, <a class="ref" href="metric_2.html#T7" target="_self" onmouseover="rs('metric_2/T7')" onmouseout="rh()">Th7</a></span>;<br/></div></div>
