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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E7">Def2</font></span>   defines <a href="topmetr.html#K1" title="TOPMETR:func.1">|</a> <a onclick="hs(this)" href="javascript:()">TOPMETR:def 2 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="metric_1.html#NM1" title="METRIC_1:NM.1">MetrSpace</a><br/>  for <font color="Olive" title="b2">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="metric_1.html#V1" title="METRIC_1:attr.1">strict</a>   <a href="topmetr.html#M1" title="TOPMETR:mode.1">SubSpace</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">M</font> <a href="topmetr.html#K1" title="TOPMETR:func.1">|</a> <font color="Olive" title="b2">A</font> iff  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> );<br/></span></div>
