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<div><span class="kw">theorem </span><a NAME="T62"><span class="comment"><font color="firebrick">:: FINTOPO8:62</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="fintopo8.html#K13" title="FINTOPO8:func.13">FMT_R^1</a><br/>  for <font color="Olive" title="b2">z</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <a href="metric_1.html#K7" title="METRIC_1:func.7">RealSpace</a></span>)</span>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">z</font> holds <br/> <a href="frechet.html#K1" title="FRECHET:func.1">Balls</a> <font color="Olive" title="b2">z</font> is   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <a href="fintopo8.html#K13" title="FINTOPO8:func.13">FMT_R^1</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo7.html#D15" onmouseover="rs('fintopo7/D15')" onmouseout="rh()">FINTOPO7:def 15</a>, <a class="ref" href="topmetr.html#D6" onmouseover="rs('topmetr/D6')" onmouseout="rh()">TOPMETR:def 6</a></span>;<br/></div></div>
