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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: TOPGEN_4:51</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">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font> holds  <font color="Olive" title="b2">A</font> <a href="topgen_4.html#K4" title="TOPGEN_4:func.4">^0</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="topgen_4.html#K4" title="TOPGEN_4:func.4">^0</a></span>)</span></div></div>
