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<div>:: <span class="kw">deftheorem </span>   defines <a href="pscomp_1.html#V1" title="PSCOMP_1:attr.1">continuous</a> <a onclick="hs(this)" href="javascript:()">PSCOMP_1:def 3 : <br/></a><span> 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> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="pscomp_1.html#V1" title="PSCOMP_1:attr.1">continuous</a>  iff  for <font color="Olive" title="b3">Y</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b3">Y</font> is  <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a>  holds <br/><font color="Olive" title="b2">f</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <font color="Olive" title="b3">Y</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  );<br/></span></div>
