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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: PCOMPS_1:19</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">FX</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="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <font color="Olive" title="b2">FX</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1" title="PCOMPS_1:func.1">clf</a> <font color="Olive" title="b2">FX</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="pcomps_1.html#T17" target="_self" onmouseover="rs('pcomps_1/T17')" onmouseout="rh()">Th17</a>, <a class="ref" href="setfam_1.html#T13" onmouseover="rs('setfam_1/T13')" onmouseout="rh()">SETFAM_1:13</a></span>;<br/></div></div>
