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<div><span class="kw">theorem </span><a NAME="T63"><span class="comment"><font color="firebrick">:: FINTOPO8:63</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><br/>  for <font color="Olive" title="b3">SF</font> being   <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>  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> &amp; <font color="Olive" title="b3">SF</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="frechet.html#K1" title="FRECHET:func.1">Balls</a> <font color="Olive" title="b2">z</font> holds <br/><span class="p1"><a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b3">SF</font></span><a href="cardfil2.html#K3" title="CARDFIL2:func.3">.]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fintopo8.html#K1" title="FINTOPO8:func.1">U_FMT</a> <font color="Olive" title="b1">x</font></div></div>
