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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th64</font></span>: <a NAME="T64"><span class="comment"><font color="firebrick">:: TOPS_1:64</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">GX</font> being    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">GX</font>  st <font color="Olive" title="b2">R</font> is  <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a>  holds <br/>(  <a href="tops_1.html#K2" title="TOPS_1:func.2">Fr</a> <font color="Olive" title="b2">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tops_1.html#K2" title="TOPS_1:func.2">Fr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b2">R</font></span>)</span> &amp;  <a href="tops_1.html#K2" title="TOPS_1:func.2">Fr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b2">R</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b2">R</font></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Olive" title="b2">R</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="tops_1.html#E44"><span class="lab"><font color="Green" title="E24">Lm2</font></span></a></span>;<br/></div></div>
