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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: TOPGEN_1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</font> being   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Olive" title="b1">T</font> holds   <a href="topgen_1.html#K1" title="TOPGEN_1:func.1">Fr</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="topgen_1.html#K1" title="TOPGEN_1:func.1">Fr</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="topgen_1.html#K1" title="TOPGEN_1:func.1">Fr</a> <font color="Olive" title="b3">G</font></span>)</span></div></div>
