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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: WAYBEL29:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   <a href="t_0topsp.html#NM1" title="T_0TOPSP:NM.1">T_0-TopSpace</a> holds <br/> (  <a href="yellow_1.html#K1" title="YELLOW_1:func.1">InclPoset</a>  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Olive" title="b1">Y</font> is  <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a>  iff  for <font color="Olive" title="b2">X</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> holds   <a href="waybel29.html#K3" title="WAYBEL29:func.3">Theta</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b1">Y</font>) is  <a href="waybel_0.html#V23" title="WAYBEL_0:attr.23">isomorphic</a>  )</div></div>
