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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th65</font></span>: <a NAME="T65"><span class="comment"><font color="firebrick">:: FINTOPO8:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="fintopo8.html#K15" title="FINTOPO8:func.15">gen_R^1</a>  ex <font color="Olive" title="b2">y</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 <br/>( <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> &amp;  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b1">x</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">y</font> )</div></div>
