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<div><span class="kw">theorem </span><a NAME="T27"><span class="comment"><font color="firebrick">:: NAGATA_1:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="pscomp_1.html#NM1" title="PSCOMP_1:NM.1">RealMap</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b3">f</font> is  <a href="pscomp_1.html#V1" title="PSCOMP_1:attr.1">continuous</a>  holds <br/> <a href="nagata_1.html#K5" title="NAGATA_1:func.5">min</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b3">f</font>) is  <a href="pscomp_1.html#V1" title="PSCOMP_1:attr.1">continuous</a> </div></div>
