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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: WAYBEL25:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="waybel25.html#V1" title="WAYBEL25:attr.1">monotone-convergence</a>  <a href="t_0topsp.html#NM1" title="T_0TOPSP:NM.1">T_0-TopSpace</a> holds   <a href="waybel25.html#K1" title="WAYBEL25:func.1">Omega</a> <font color="Olive" title="b1">X</font> is  <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a> </div></div>
