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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: PSCOMP_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="pscomp_1.html#NM1" title="PSCOMP_1:NM.1">RealMap</a> of <font color="Olive" title="b1">T</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b2">f</font> is  <a href="pscomp_1.html#V1" title="PSCOMP_1:attr.1">continuous</a>  &amp; <font color="Olive" title="b3">R</font> is  <a href="measure6.html#V2" title="MEASURE6:attr.2">closed</a>  holds <br/><span class="p1">(<span class="default"><a href="measure6.html#K2" title="MEASURE6:func.2">"</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <font color="Olive" title="b3">R</font> is  <a href="tops_2.html#V2" title="TOPS_2:attr.2">closed</a> </div></div>
