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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: FINTOPO8:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">NTX</font>, <font color="Olive" title="b2">NTY</font> being   <a href="fintopo8.html#NM1" title="FINTOPO8:NM.1">NTopSpace</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">NTX</font>,<font color="Olive" title="b2">NTY</font>  st (  for <font color="Olive" title="b4">S</font> being   <a href="fintopo7.html#V1" title="FINTOPO7:attr.1">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">NTY</font> holds  <font color="Olive" title="b3">f</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <font color="Olive" title="b4">S</font> is   <a href="fintopo7.html#V1" title="FINTOPO7:attr.1">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">NTX</font> ) holds <br/><font color="Olive" title="b3">f</font> is  <a href="fintopo8.html#V1" title="FINTOPO8:attr.1">continuous</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="fintopo8.html#E37"><span class="lab"><font color="Green" title="E28">Lm26</font></span></a></span>;<br/></div></div>
