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<div><span class="kw">theorem </span><a NAME="T17"><span class="comment"><font color="firebrick">:: WAYBEL19:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">T2</font> being   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>   <a href="waybel19.html#V1" title="WAYBEL19:attr.1">lower</a>  <a href="waybel_9.html#NM1" title="WAYBEL_9:NM.1">TopLattice</a>  st <font color="Olive" title="b2">T2</font> is    <a href="yellow_9.html#M1" title="YELLOW_9:mode.1">TopAugmentation</a> of <span class="p1"><a href="yellow_3.html#K3" title="YELLOW_3:func.3">[:</a><span class="default"><font color="Olive" title="b1">T</font>,<font color="Olive" title="b1">T</font></span><a href="yellow_3.html#K3" title="YELLOW_3:func.3">:]</a></span> holds <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="b2">T2</font>,<font color="Olive" title="b1">T</font>  st <font color="Olive" title="b3">f</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="waybel_2.html#K4" title="WAYBEL_2:func.4">inf_op</a> <font color="Olive" title="b1">T</font> holds <br/><font color="Olive" title="b3">f</font> is  <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> </div></div>
